# Created by Octave 3.2.4, Fri Jan 22 10:34:21 2010 CET <hajek@hajek>
# name: cache
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# name: <cell-element>
# type: string
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amd
# name: <cell-element>
# type: string
# elements: 1
# length: 1170
 -- Loadable Function: P = amd (S)
 -- Loadable Function: P = amd (S, OPTS)
     Returns the approximate minimum degree permutation of a matrix.  This permutation such that the Cholesky factorization of `S (P, P)' tends to be sparser than the Cholesky factorization of S itself.  `amd' is typically faster than `symamd' but serves a similar purpose.

     The optional parameter OPTS is a structure that controls the behavior of `amd'.  The fields of these structure are

    opts.dense
          Determines what `amd' considers to be a dense row or column of the input matrix.  Rows or columns with more than `max(16, (dense * sqrt (N)' entries, where N is the order of the matrix S, are ignored by `amd' during the calculation of the permutation The value of dense must be a positive scalar and its default value is 10.0

    opts.aggressive
          If this value is a non zero scalar, then `amd' performs aggressive absorption.  The default is not to perform aggressive absorption.

     The author of the code itself is Timothy A. Davis (davis@cise.ufl.edu), University of Florida (see `http://www.cise.ufl.edu/research/sparse/amd').  See also: symamd, colamd.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 63
Returns the approximate minimum degree permutation of a matrix.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
balance
# name: <cell-element>
# type: string
# elements: 1
# length: 1424
 -- Loadable Function: AA = balance (A, OPT)
 -- Loadable Function: [DD, AA] = balance (A, OPT)
 -- Loadable Function: [D, P, AA] = balance (A, OPT)
 -- Loadable Function: [CC, DD, AA, BB] = balance (A, B, OPT)
     Compute `aa = dd \ a * dd' in which `aa' is a matrix whose row and column norms are roughly equal in magnitude, and `dd' = `p * d', in which `p' is a permutation matrix and `d' is a diagonal matrix of powers of two.  This allows the equilibration to be computed without roundoff.  Results of eigenvalue calculation are typically improved by balancing first.

     If two output values are requested, `balance' returns the diagonal `d' and the permutation `p' separately as vectors.  In this case, `dd = eye(n)(:,p) * diag (d)', where `n' is the matrix size.

     If four output values are requested, compute `aa = cc*a*dd' and `bb = cc*b*dd)', in which `aa' and `bb' have non-zero elements of approximately the same magnitude and `cc' and `dd' are permuted diagonal matrices as in `dd' for the algebraic eigenvalue problem.

     The eigenvalue balancing option `opt' may be one of:

    `"noperm"', `"S"'
          Scale only; do not permute.

    `"noscal"', `"P"'
          Permute only; do not scale.

     Algebraic eigenvalue balancing uses standard LAPACK routines.

     Generalized eigenvalue problem balancing uses Ward's algorithm (SIAM Journal on Scientific and Statistical Computing, 1981).
   
# name: <cell-element>
# type: string
# elements: 1
# length: 215
Compute `aa = dd \ a * dd' in which `aa' is a matrix whose row and column norms are roughly equal in magnitude, and `dd' = `p * d', in which `p' is a permutation matrix and `d' is a diagonal matrix of powers of two.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
besselj
# name: <cell-element>
# type: string
# elements: 1
# length: 2013
 -- Loadable Function: [J, IERR] = besselj (ALPHA, X, OPT)
 -- Loadable Function: [Y, IERR] = bessely (ALPHA, X, OPT)
 -- Loadable Function: [I, IERR] = besseli (ALPHA, X, OPT)
 -- Loadable Function: [K, IERR] = besselk (ALPHA, X, OPT)
 -- Loadable Function: [H, IERR] = besselh (ALPHA, K, X, OPT)
     Compute Bessel or Hankel functions of various kinds:

    `besselj'
          Bessel functions of the first kind.  If the argument OPT is supplied, the result is multiplied by `exp(-abs(imag(x)))'.

    `bessely'
          Bessel functions of the second kind.  If the argument OPT is supplied, the result is multiplied by `exp(-abs(imag(x)))'.

    `besseli'
          Modified Bessel functions of the first kind.  If the argument OPT is supplied, the result is multiplied by `exp(-abs(real(x)))'.

    `besselk'
          Modified Bessel functions of the second kind.  If the argument OPT is supplied, the result is multiplied by `exp(x)'.

    `besselh'
          Compute Hankel functions of the first (K = 1) or second (K = 2) kind.  If the argument OPT is supplied, the result is multiplied by `exp (-I*X)' for K = 1 or `exp (I*X)' for K = 2.

     If ALPHA is a scalar, the result is the same size as X.  If X is a scalar, the result is the same size as ALPHA.  If ALPHA is a row vector and X is a column vector, the result is a matrix with `length (X)' rows and `length (ALPHA)' columns.  Otherwise, ALPHA and X must conform and the result will be the same size.

     The value of ALPHA must be real.  The value of X may be complex.

     If requested, IERR contains the following status information and is the same size as the result.

       0. Normal return.

       1. Input error, return `NaN'.

       2. Overflow, return `Inf'.

       3. Loss of significance by argument reduction results in less than half of machine accuracy.

       4. Complete loss of significance by argument reduction, return `NaN'.

       5. Error--no computation, algorithm termination condition not met, return `NaN'.

# name: <cell-element>
# type: string
# elements: 1
# length: 53
Compute Bessel or Hankel functions of various kinds: 

# name: <cell-element>
# type: string
# elements: 1
# length: 7
bessely
# name: <cell-element>
# type: string
# elements: 1
# length: 80
 -- Loadable Function: [Y, IERR] = bessely (ALPHA, X, OPT)
     See besselj.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 12
See besselj.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
besseli
# name: <cell-element>
# type: string
# elements: 1
# length: 80
 -- Loadable Function: [I, IERR] = besseli (ALPHA, X, OPT)
     See besselj.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 12
See besselj.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
besselk
# name: <cell-element>
# type: string
# elements: 1
# length: 80
 -- Loadable Function: [K, IERR] = besselk (ALPHA, X, OPT)
     See besselj.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 12
See besselj.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
besselh
# name: <cell-element>
# type: string
# elements: 1
# length: 83
 -- Loadable Function: [H, IERR] = besselh (ALPHA, K, X, OPT)
     See besselj.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 12
See besselj.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
airy
# name: <cell-element>
# type: string
# elements: 1
# length: 1078
 -- Loadable Function: [A, IERR] = airy (K, Z, OPT)
     Compute Airy functions of the first and second kind, and their derivatives.

           K   Function   Scale factor (if 'opt' is supplied)
          ---  --------   ---------------------------------------
           0   Ai (Z)     exp ((2/3) * Z * sqrt (Z))
           1   dAi(Z)/dZ  exp ((2/3) * Z * sqrt (Z))
           2   Bi (Z)     exp (-abs (real ((2/3) * Z *sqrt (Z))))
           3   dBi(Z)/dZ  exp (-abs (real ((2/3) * Z *sqrt (Z))))

     The function call `airy (Z)' is equivalent to `airy (0, Z)'.

     The result is the same size as Z.

     If requested, IERR contains the following status information and is the same size as the result.

       0. Normal return.

       1. Input error, return `NaN'.

       2. Overflow, return `Inf'.

       3. Loss of significance by argument reduction results in less than half  of machine accuracy.

       4. Complete loss of significance by argument reduction, return `NaN'.

       5. Error--no computation, algorithm termination condition not met, return `NaN'.

# name: <cell-element>
# type: string
# elements: 1
# length: 75
Compute Airy functions of the first and second kind, and their derivatives.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
betainc
# name: <cell-element>
# type: string
# elements: 1
# length: 487
 -- Mapping Function:  betainc (X, A, B)
     Return the incomplete Beta function,

                                                x
                                               /
          betainc (x, a, b) = beta (a, b)^(-1) | t^(a-1) (1-t)^(b-1) dt.
                                               /
                                            t=0

     If x has more than one component, both A and B must be scalars.  If X is a scalar, A and B must be of compatible dimensions.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 37
Return the incomplete Beta function, 

# name: <cell-element>
# type: string
# elements: 1
# length: 6
bitand
# name: <cell-element>
# type: string
# elements: 1
# length: 200
 -- Built-in Function:  bitand (X, Y)
     Return the bitwise AND of non-negative integers.  X, Y must be in the range [0,bitmax] See also: bitor, bitxor, bitset, bitget, bitcmp, bitshift, bitmax.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 48
Return the bitwise AND of non-negative integers.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
bitor
# name: <cell-element>
# type: string
# elements: 1
# length: 198
 -- Built-in Function:  bitor (X, Y)
     Return the bitwise OR of non-negative integers.  X, Y must be in the range [0,bitmax] See also: bitor, bitxor, bitset, bitget, bitcmp, bitshift, bitmax.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 47
Return the bitwise OR of non-negative integers.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
bitxor
# name: <cell-element>
# type: string
# elements: 1
# length: 200
 -- Built-in Function:  bitxor (X, Y)
     Return the bitwise XOR of non-negative integers.  X, Y must be in the range [0,bitmax] See also: bitand, bitor, bitset, bitget, bitcmp, bitshift, bitmax.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 48
Return the bitwise XOR of non-negative integers.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
bitshift
# name: <cell-element>
# type: string
# elements: 1
# length: 565
 -- Built-in Function:  bitshift (A, K)
 -- Built-in Function:  bitshift (A, K, N)
     Return a K bit shift of N-digit unsigned integers in A.  A positive K leads to a left shift.  A negative value to a right shift.  If N is omitted it defaults to log2(bitmax)+1.  N must be in the range [1,log2(bitmax)+1] usually [1,33]

          bitshift (eye (3), 1)
          =>
          2 0 0
          0 2 0
          0 0 2

          bitshift (10, [-2, -1, 0, 1, 2])
          => 2   5  10  20  40
     See also: bitand, bitor, bitxor, bitset, bitget, bitcmp, bitmax.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 55
Return a K bit shift of N-digit unsigned integers in A.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
bitmax
# name: <cell-element>
# type: string
# elements: 1
# length: 177
 -- Built-in Function:  bitmax ()
     Return the largest integer that can be represented as a floating point value.  On IEEE-754 compatible systems, `bitmax' is `2^53 - 1'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 77
Return the largest integer that can be represented as a floating point value.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
intmax
# name: <cell-element>
# type: string
# elements: 1
# length: 586
 -- Built-in Function:  intmax (TYPE)
     Return the largest integer that can be represented in an integer type.  The variable TYPE can be

    `int8'
          signed 8-bit integer.

    `int16'
          signed 16-bit integer.

    `int32'
          signed 32-bit integer.

    `int64'
          signed 64-bit integer.

    `uint8'
          unsigned 8-bit integer.

    `uint16'
          unsigned 16-bit integer.

    `uint32'
          unsigned 32-bit integer.

    `uint64'
          unsigned 64-bit integer.

     The default for TYPE is `uint32'.  See also: intmin, bitmax.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 70
Return the largest integer that can be represented in an integer type.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
intmin
# name: <cell-element>
# type: string
# elements: 1
# length: 587
 -- Built-in Function:  intmin (TYPE)
     Return the smallest integer that can be represented in an integer type.  The variable TYPE can be

    `int8'
          signed 8-bit integer.

    `int16'
          signed 16-bit integer.

    `int32'
          signed 32-bit integer.

    `int64'
          signed 64-bit integer.

    `uint8'
          unsigned 8-bit integer.

    `uint16'
          unsigned 16-bit integer.

    `uint32'
          unsigned 32-bit integer.

    `uint64'
          unsigned 64-bit integer.

     The default for TYPE is `uint32'.  See also: intmax, bitmax.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 71
Return the smallest integer that can be represented in an integer type.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
bsxfun
# name: <cell-element>
# type: string
# elements: 1
# length: 459
 -- Loadable Function:  bsxfun (F, A, B)
     Applies a binary function F element-wise to two matrix arguments A and B.  The function F must be capable of accepting two column vector arguments of equal length, or one column vector argument and a scalar.

     The dimensions of A and B must be equal or singleton.  The singleton dimensions of the matrices will be expanded to the same dimensionality as the other matrix.

     See also: arrayfun, cellfun.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 73
Applies a binary function F element-wise to two matrix arguments A and B.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
ccolamd
# name: <cell-element>
# type: string
# elements: 1
# length: 3636
 -- Loadable Function: P = ccolamd (S)
 -- Loadable Function: P = ccolamd (S, KNOBS)
 -- Loadable Function: P = ccolamd (S, KNOBS, CMEMBER)
 -- Loadable Function: [P, STATS] = ccolamd (...)
     Constrained column approximate minimum degree permutation.  `P = ccolamd (S)' returns the column approximate minimum degree permutation vector for the sparse matrix S.  For a non-symmetric matrix S, `S (:, P)' tends to have sparser LU factors than S.  `chol (S (:, P)' * S (:, P))' also tends to be sparser than `chol (S' * S)'.  `P = ccolamd (S, 1)' optimizes the ordering for `lu (S (:, P))'.  The ordering is followed by a column elimination tree post-ordering.

     KNOBS is an optional one- to five-element input vector, with a default value of `[0 10 10 1 0]' if not present or empty.  Entries not present are set to their defaults.

    `KNOBS(1)'
          if nonzero, the ordering is optimized for `lu (S (:, p))'.  It will be a poor ordering for `chol (S (:, P)' * S (:, P))'.  This is the most important knob for ccolamd.

    `KNOB(2)'
          if S is m-by-n, rows with more than `max (16, KNOBS (2) * sqrt (n))' entries are ignored.

    `KNOB(3)'
          columns with more than `max (16, KNOBS (3) * sqrt (min (M, N)))' entries are ignored and ordered last in the output permutation (subject to the cmember constraints).

    `KNOB(4)'
          if nonzero, aggressive absorption is performed.

    `KNOB(5)'
          if nonzero, statistics and knobs are printed.


     CMEMBER is an optional vector of length n.  It defines the constraints on the column ordering.  If `CMEMBER (j) = C', then column J is in constraint set C (C must be in the range 1 to N).  In the output permutation P, all columns in set 1 appear first, followed by all columns in set 2, and so on.  `CMEMBER = ones(1,n)' if not present or empty.  `ccolamd (S, [], 1 : N)' returns `1 : N'

     `P = ccolamd (S)' is about the same as `P = colamd (S)'.  KNOBS and its default values differ.  `colamd' always does aggressive absorption, and it finds an ordering suitable for both `lu (S (:, P))' and `chol (S (:, P)' * S (:, P))'; it cannot optimize its ordering for `lu (S (:, P))' to the extent that `ccolamd (S, 1)' can.

     STATS is an optional 20-element output vector that provides data about the ordering and the validity of the input matrix S.  Ordering statistics are in `STATS (1 : 3)'.  `STATS (1)' and `STATS (2)' are the number of dense or empty rows and columns ignored by CCOLAMD and `STATS (3)' is the number of garbage collections performed on the internal data structure used by CCOLAMD (roughly of size `2.2 * nnz (S) + 4 * M + 7 * N' integers).

     `STATS (4 : 7)' provide information if CCOLAMD was able to continue.  The matrix is OK if `STATS (4)' is zero, or 1 if invalid.  `STATS (5)' is the rightmost column index that is unsorted or contains duplicate entries, or zero if no such column exists.  `STATS (6)' is the last seen duplicate or out-of-order row index in the column index given by `STATS (5)', or zero if no such row index exists.  `STATS (7)' is the number of duplicate or out-of-order row indices.  `STATS (8 : 20)' is always zero in the current version of CCOLAMD (reserved for future use).

     The authors of the code itself are S. Larimore, T. Davis (Uni of Florida) and S. Rajamanickam in collaboration with J. Bilbert and E. Ng.  Supported by the National Science Foundation (DMS-9504974, DMS-9803599, CCR-0203270), and a grant from Sandia National Lab.  See `http://www.cise.ufl.edu/research/sparse' for ccolamd, csymamd, amd, colamd, symamd, and other related orderings.  See also: colamd, csymamd.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 58
Constrained column approximate minimum degree permutation.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
csymamd
# name: <cell-element>
# type: string
# elements: 1
# length: 2582
 -- Loadable Function: P = csymamd (S)
 -- Loadable Function: P = csymamd (S, KNOBS)
 -- Loadable Function: P = csymamd (S, KNOBS, CMEMBER)
 -- Loadable Function: [P, STATS] = csymamd (...)
     For a symmetric positive definite matrix S, returns the permutation vector P such that `S(P,P)' tends to have a sparser Cholesky factor than S.  Sometimes `csymamd' works well for symmetric indefinite matrices too.  The matrix S is assumed to be symmetric; only the strictly lower triangular part is referenced.  S must be square.  The ordering is followed by an elimination tree post-ordering.

     KNOBS is an optional one- to three-element input vector, with a default value of `[10 1 0]' if present or empty.  Entries not present are set to their defaults.

    `KNOBS(1)'
          If S is n-by-n, then rows and columns with more than `max(16,KNOBS(1)*sqrt(n))' entries are ignored, and ordered last in the output permutation (subject to the cmember constraints).

    `KNOBS(2)'
          If nonzero, aggressive absorption is performed.

    `KNOBS(3)'
          If nonzero, statistics and knobs are printed.


     CMEMBER is an optional vector of length n. It defines the constraints on the ordering.  If `CMEMBER(j) = S', then row/column j is in constraint set C (C must be in the range 1 to n).  In the output permutation P, rows/columns in set 1 appear first, followed by all rows/columns in set 2, and so on.  `CMEMBER = ones(1,n)' if not present or empty.  `csymamd(S,[],1:n)' returns `1:n'.

     `P = csymamd(S)' is about the same as `P = symamd(S)'.  KNOBS and its default values differ.

     `STATS (4:7)' provide information if CCOLAMD was able to continue.  The matrix is OK if `STATS (4)' is zero, or 1 if invalid.  `STATS (5)' is the rightmost column index that is unsorted or contains duplicate entries, or zero if no such column exists.  `STATS (6)' is the last seen duplicate or out-of-order row index in the column index given by `STATS (5)', or zero if no such row index exists.  `STATS (7)' is the number of duplicate or out-of-order row indices.  `STATS (8:20)' is always zero in the current version of CCOLAMD (reserved for future use).

     The authors of the code itself are S. Larimore, T. Davis (Uni of Florida) and S. Rajamanickam in collaboration with J. Bilbert and E. Ng.  Supported by the National Science Foundation (DMS-9504974, DMS-9803599, CCR-0203270), and a grant from Sandia National Lab.  See `http://www.cise.ufl.edu/research/sparse' for ccolamd, csymamd, amd, colamd, symamd, and other related orderings.  See also: symamd, ccolamd.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 143
For a symmetric positive definite matrix S, returns the permutation vector P such that `S(P,P)' tends to have a sparser Cholesky factor than S.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
cellfun
# name: <cell-element>
# type: string
# elements: 1
# length: 2862
 -- Loadable Function:  cellfun (NAME, C)
 -- Loadable Function:  cellfun ("size", C, K)
 -- Loadable Function:  cellfun ("isclass", C, CLASS)
 -- Loadable Function:  cellfun (FUNC, C)
 -- Loadable Function:  cellfun (FUNC, C, D)
 -- Loadable Function: [A, B] = cellfun (...)
 -- Loadable Function:  cellfun (..., 'ErrorHandler', ERRFUNC)
 -- Loadable Function:  cellfun (..., 'UniformOutput', VAL)
     Evaluate the function named NAME on the elements of the cell array C.  Elements in C are passed on to the named function individually.  The function NAME can be one of the functions

    `isempty'
          Return 1 for empty elements.

    `islogical'
          Return 1 for logical elements.

    `isreal'
          Return 1 for real elements.

    `length'
          Return a vector of the lengths of cell elements.

    `ndims'
          Return the number of dimensions of each element.

    `prodofsize'
          Return the product of dimensions of each element.

    `size'
          Return the size along the K-th dimension.

    `isclass'
          Return 1 for elements of CLASS.

     Additionally, `cellfun' accepts an arbitrary function FUNC in the form of an inline function, function handle, or the name of a function (in a character string).  In the case of a character string argument, the function must accept a single argument named X, and it must return a string value.  The function can take one or more arguments, with the inputs args given by C, D, etc.  Equally the function can return one or more output arguments.  For example

          cellfun (@atan2, {1, 0}, {0, 1})
          =>ans = [1.57080   0.00000]

     Note that the default output argument is an array of the same size as the input arguments.

     If the parameter 'UniformOutput' is set to true (the default), then the function must return a single element which will be concatenated into the return value.  If 'UniformOutput' is false, the outputs are concatenated in a cell array.  For example

          cellfun ("tolower(x)", {"Foo", "Bar", "FooBar"},
                   "UniformOutput",false)
          => ans = {"foo", "bar", "foobar"}

     Given the parameter 'ErrorHandler', then ERRFUNC defines a function to call in case FUNC generates an error.  The form of the function is

          function [...] = errfunc (S, ...)

     where there is an additional input argument to ERRFUNC relative to FUNC, given by S.  This is a structure with the elements 'identifier', 'message' and 'index', giving respectively the error identifier, the error message, and the index into the input arguments of the element that caused the error.  For example

          function y = foo (s, x), y = NaN; endfunction
          cellfun (@factorial, {-1,2},'ErrorHandler',@foo)
          => ans = [NaN 2]

     See also: isempty, islogical, isreal, length, ndims, numel, size.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 69
Evaluate the function named NAME on the elements of the cell array C.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
num2cell
# name: <cell-element>
# type: string
# elements: 1
# length: 269
 -- Loadable Function: C = num2cell (M)
 -- Loadable Function: C = num2cell (M, DIM)
     Convert the matrix M to a cell array.  If DIM is defined, the value C is of dimension 1 in this dimension and the elements of M are placed in slices in C.  See also: mat2cell.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 37
Convert the matrix M to a cell array.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
mat2cell
# name: <cell-element>
# type: string
# elements: 1
# length: 956
 -- Loadable Function: B = mat2cell (A, M, N)
 -- Loadable Function: B = mat2cell (A, D1, D2, ...)
 -- Loadable Function: B = mat2cell (A, R)
     Convert the matrix A to a cell array.  If A is 2-D, then it is required that `sum (M) == size (A, 1)' and `sum (N) == size (A, 2)'.  Similarly, if A is a multi-dimensional and the number of dimensional arguments is equal to the dimensions of A, then it is required that `sum (DI) == size (A, i)'.

     Given a single dimensional argument R, the other dimensional arguments are assumed to equal `size (A,I)'.

     An example of the use of mat2cell is

          mat2cell (reshape(1:16,4,4),[3,1],[3,1])
          => {
            [1,1] =

               1   5   9
               2   6  10
               3   7  11

            [2,1] =

               4   8  12

            [1,2] =

              13
              14
              15

            [2,2] = 16
          }
     See also: num2cell, cell2mat.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 37
Convert the matrix A to a cell array.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
cellslices
# name: <cell-element>
# type: string
# elements: 1
# length: 516
 -- Loadable Function: SL = cellslices (X, LB, UB)
     Given a vector X, this function produces a cell array of slices from the vector determined by the index vectors LB, UB, for lower and upper bounds, respectively.  In other words, it is equivalent to the following code:

          n = length (lb);
          sl = cell (1, n);
          for i = 1:length (lb)
            sl{i} = x(lb(i):ub(i));
          endfor

     If X is a matrix or array, indexing is done along the last dimension.  See also: mat2cell.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 161
Given a vector X, this function produces a cell array of slices from the vector determined by the index vectors LB, UB, for lower and upper bounds, respectively.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
chol
# name: <cell-element>
# type: string
# elements: 1
# length: 1362
 -- Loadable Function: R = chol (A)
 -- Loadable Function: [R, P] = chol (A)
 -- Loadable Function: [R, P, Q] = chol (S)
 -- Loadable Function: [R, P, Q] = chol (S, 'vector')
 -- Loadable Function: [L, ...] = chol (..., 'lower')
     Compute the Cholesky factor, R, of the symmetric positive definite matrix A, where

          R' * R = A.

     Called with one output argument `chol' fails if A or S is not positive definite.  With two or more output arguments P flags whether the matrix was positive definite and `chol' does not fail.  A zero value indicated that the matrix was positive definite and the R gives the factorization, and P will have a positive value otherwise.

     If called with 3 outputs then a sparsity preserving row/column permutation is applied to A prior to the factorization.  That is R is the factorization of `A(Q,Q)' such that

          R' * R = Q' * A * Q.

     The sparsity preserving permutation is generally returned as a matrix.  However, given the flag 'vector', Q will be returned as a vector such that

          R' * R = a (Q, Q).

     Called with either a sparse or full matrix and using the 'lower' flag, `chol' returns the lower triangular factorization such that

          L * L' = A.

     In general the lower triangular factorization is significantly faster for sparse matrices.  See also: cholinv, chol2inv.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 83
Compute the Cholesky factor, R, of the symmetric positive definite matrix A, where 

# name: <cell-element>
# type: string
# elements: 1
# length: 7
cholinv
# name: <cell-element>
# type: string
# elements: 1
# length: 170
 -- Loadable Function:  cholinv (A)
     Use the Cholesky factorization to compute the inverse of the symmetric positive definite matrix A.  See also: chol, chol2inv.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 98
Use the Cholesky factorization to compute the inverse of the symmetric positive definite matrix A.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
chol2inv
# name: <cell-element>
# type: string
# elements: 1
# length: 320
 -- Loadable Function:  chol2inv (U)
     Invert a symmetric, positive definite square matrix from its Cholesky decomposition, U.  Note that U should be an upper-triangular matrix with positive diagonal elements.  `chol2inv (U)' provides `inv (U'*U)' but it is much faster than using `inv'.  See also: chol, cholinv.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 87
Invert a symmetric, positive definite square matrix from its Cholesky decomposition, U.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
cholupdate
# name: <cell-element>
# type: string
# elements: 1
# length: 592
 -- Loadable Function: [R1, INFO] = cholupdate (R, U, OP)
     Update or downdate a Cholesky factorization.  Given an upper triangular matrix R and a column vector U, attempt to determine another upper triangular matrix R1 such that
        * R1'*R1 = R'*R + U*U' if OP is "+"

        * R1'*R1 = R'*R - U*U' if OP is "-"

     If OP is "-", INFO is set to
        * 0 if the downdate was successful,

        * 1 if R'*R - U*U' is not positive definite,

        * 2 if R is singular.

     If INFO is not present, an error message is printed in cases 1 and 2.  See also: chol, qrupdate.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 44
Update or downdate a Cholesky factorization.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
cholinsert
# name: <cell-element>
# type: string
# elements: 1
# length: 591
 -- Loadable Function: [R1, INFO] = cholinsert (R, J, U)
     Given a Cholesky factorization of a real symmetric or complex hermitian positive definite matrix A = R'*R, R upper triangular, return the Cholesky factorization of A1, where A1(p,p) = A, A1(:,j) = A1(j,:)' = u and p = [1:j-1,j+1:n+1].  u(j) should be positive.  On return, INFO is set to
        * 0 if the insertion was successful,

        * 1 if A1 is not positive definite,

        * 2 if R is singular.

     If INFO is not present, an error message is printed in cases 1 and 2.  See also: chol, cholupdate, choldelete.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 234
Given a Cholesky factorization of a real symmetric or complex hermitian positive definite matrix A = R'*R, R upper triangular, return the Cholesky factorization of A1, where A1(p,p) = A, A1(:,j) = A1(j,:)' = u and p = [1:j-1,j+1:n+1].

# name: <cell-element>
# type: string
# elements: 1
# length: 10
choldelete
# name: <cell-element>
# type: string
# elements: 1
# length: 294
 -- Loadable Function: R1 = choldelete (R, J)
     Given a Cholesky factorization of a real symmetric or complex hermitian positive definite matrix A = R'*R, R upper triangular, return the Cholesky factorization of A(p,p), where p = [1:j-1,j+1:n+1].  See also: chol, cholupdate, cholinsert.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 198
Given a Cholesky factorization of a real symmetric or complex hermitian positive definite matrix A = R'*R, R upper triangular, return the Cholesky factorization of A(p,p), where p = [1:j-1,j+1:n+1].

# name: <cell-element>
# type: string
# elements: 1
# length: 9
cholshift
# name: <cell-element>
# type: string
# elements: 1
# length: 409
 -- Loadable Function: R1 = cholshift (R, I, J)
     Given a Cholesky factorization of a real symmetric or complex hermitian positive definite matrix A = R'*R, R upper triangular, return the Cholesky factorization of A(p,p), where p is the permutation
     `p = [1:i-1, shift(i:j, 1), j+1:n]' if I < J
     or
     `p = [1:j-1, shift(j:i,-1), i+1:n]' if J < I.
     See also: chol, cholinsert, choldelete.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 295
Given a Cholesky factorization of a real symmetric or complex hermitian positive definite matrix A = R'*R, R upper triangular, return the Cholesky factorization of A(p,p), where p is the permutation  `p = [1:i-1, shift(i:j, 1), j+1:n]' if I < J  or  `p = [1:j-1, shift(j:i,-1), i+1:n]' if J < I.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
colamd
# name: <cell-element>
# type: string
# elements: 1
# length: 3341
 -- Loadable Function: P = colamd (S)
 -- Loadable Function: P = colamd (S, KNOBS)
 -- Loadable Function: [P, STATS] = colamd (S)
 -- Loadable Function: [P, STATS] = colamd (S, KNOBS)
     Column approximate minimum degree permutation.  `P = colamd (S)' returns the column approximate minimum degree permutation vector for the sparse matrix S.  For a non-symmetric matrix S, `S (:,P)' tends to have sparser LU factors than S.  The Cholesky factorization of `S (:,P)' * S (:,P)' also tends to be sparser than that of `S' * S'.

     KNOBS is an optional one- to three-element input vector.  If S is m-by-n, then rows with more than `max(16,KNOBS(1)*sqrt(n))' entries are ignored.  Columns with more than `max(16,knobs(2)*sqrt(min(m,n)))' entries are removed prior to ordering, and ordered last in the output permutation P.  Only completely dense rows or columns are removed if `KNOBS (1)' and `KNOBS (2)' are < 0, respectively.  If `KNOBS (3)' is nonzero, STATS and KNOBS are printed.  The default is `KNOBS = [10 10 0]'.  Note that KNOBS differs from earlier versions of colamd

     STATS is an optional 20-element output vector that provides data about the ordering and the validity of the input matrix S.  Ordering statistics are in `STATS (1:3)'.  `STATS (1)' and `STATS (2)' are the number of dense or empty rows and columns ignored by COLAMD and `STATS (3)' is the number of garbage collections performed on the internal data structure used by COLAMD (roughly of size `2.2 * nnz(S) + 4 * M + 7 * N' integers).

     Octave built-in functions are intended to generate valid sparse matrices, with no duplicate entries, with ascending row indices of the nonzeros in each column, with a non-negative number of entries in each column (!)  and so on.  If a matrix is invalid, then COLAMD may or may not be able to continue.  If there are duplicate entries (a row index appears two or more times in the same column) or if the row indices in a column are out of order, then COLAMD can correct these errors by ignoring the duplicate entries and sorting each column of its internal copy of the matrix S (the input matrix S is not repaired, however).  If a matrix is invalid in other ways then COLAMD cannot continue, an error message is printed, and no output arguments (P or STATS) are returned.  COLAMD is thus a simple way to check a sparse matrix to see if it's valid.

     `STATS (4:7)' provide information if COLAMD was able to continue.  The matrix is OK if `STATS (4)' is zero, or 1 if invalid.  `STATS (5)' is the rightmost column index that is unsorted or contains duplicate entries, or zero if no such column exists.  `STATS (6)' is the last seen duplicate or out-of-order row index in the column index given by `STATS (5)', or zero if no such row index exists.  `STATS (7)' is the number of duplicate or out-of-order row indices.  `STATS (8:20)' is always zero in the current version of COLAMD (reserved for future use).

     The ordering is followed by a column elimination tree post-ordering.

     The authors of the code itself are Stefan I. Larimore and Timothy A.  Davis (davis@cise.ufl.edu), University of Florida.  The algorithm was developed in collaboration with John Gilbert, Xerox PARC, and Esmond Ng, Oak Ridge National Laboratory.  (see `http://www.cise.ufl.edu/research/sparse/colamd') See also: colperm, symamd.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 46
Column approximate minimum degree permutation.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
symamd
# name: <cell-element>
# type: string
# elements: 1
# length: 3207
 -- Loadable Function: P = symamd (S)
 -- Loadable Function: P = symamd (S, KNOBS)
 -- Loadable Function: [P, STATS] = symamd (S)
 -- Loadable Function: [P, STATS] = symamd (S, KNOBS)
     For a symmetric positive definite matrix S, returns the permutation vector p such that `S (P, P)' tends to have a sparser Cholesky factor than S.  Sometimes SYMAMD works well for symmetric indefinite matrices too.  The matrix S is assumed to be symmetric; only the strictly lower triangular part is referenced.  S must be square.

     KNOBS is an optional one- to two-element input vector.  If S is n-by-n, then rows and columns with more than `max(16,KNOBS(1)*sqrt(n))' entries are removed prior to ordering, and ordered last in the output permutation P.  No rows/columns are removed if `KNOBS(1) < 0'.  If `KNOBS (2)' is nonzero, `stats' and KNOBS are printed.  The default is `KNOBS = [10 0]'.  Note that KNOBS differs from earlier versions of symamd.

     STATS is an optional 20-element output vector that provides data about the ordering and the validity of the input matrix S.  Ordering statistics are in `STATS (1:3)'.  `STATS (1) = STATS (2)' is the number of dense or empty rows and columns ignored by SYMAMD and `STATS (3)' is the number of garbage collections performed on the internal data structure used by SYMAMD (roughly of size `8.4 * nnz (tril (S, -1)) + 9 * N' integers).

     Octave built-in functions are intended to generate valid sparse matrices, with no duplicate entries, with ascending row indices of the nonzeros in each column, with a non-negative number of entries in each column (!)  and so on.  If a matrix is invalid, then SYMAMD may or may not be able to continue.  If there are duplicate entries (a row index appears two or more times in the same column) or if the row indices in a column are out of order, then SYMAMD can correct these errors by ignoring the duplicate entries and sorting each column of its internal copy of the matrix S (the input matrix S is not repaired, however).  If a matrix is invalid in other ways then SYMAMD cannot continue, an error message is printed, and no output arguments (P or STATS) are returned.  SYMAMD is thus a simple way to check a sparse matrix to see if it's valid.

     `STATS (4:7)' provide information if SYMAMD was able to continue.  The matrix is OK if `STATS (4)' is zero, or 1 if invalid.  `STATS (5)' is the rightmost column index that is unsorted or contains duplicate entries, or zero if no such column exists.  `STATS (6)' is the last seen duplicate or out-of-order row index in the column index given by `STATS (5)', or zero if no such row index exists.  `STATS (7)' is the number of duplicate or out-of-order row indices.  `STATS (8:20)' is always zero in the current version of SYMAMD (reserved for future use).

     The ordering is followed by a column elimination tree post-ordering.

     The authors of the code itself are Stefan I. Larimore and Timothy A.  Davis (davis@cise.ufl.edu), University of Florida.  The algorithm was developed in collaboration with John Gilbert, Xerox PARC, and Esmond Ng, Oak Ridge National Laboratory.  (see `http://www.cise.ufl.edu/research/sparse/colamd') See also: colperm, colamd.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 145
For a symmetric positive definite matrix S, returns the permutation vector p such that `S (P, P)' tends to have a sparser Cholesky factor than S.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
etree
# name: <cell-element>
# type: string
# elements: 1
# length: 550
 -- Loadable Function: P = etree (S)
 -- Loadable Function: P = etree (S, TYP)
 -- Loadable Function: [P, Q] = etree (S, TYP)
     Returns the elimination tree for the matrix S.  By default S is assumed to be symmetric and the symmetric elimination tree is returned.  The argument TYP controls whether a symmetric or column elimination tree is returned.  Valid values of TYP are 'sym' or 'col', for symmetric or column elimination tree respectively

     Called with a second argument, "etree" also returns the postorder permutations on the tree.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 46
Returns the elimination tree for the matrix S.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
colloc
# name: <cell-element>
# type: string
# elements: 1
# length: 292
 -- Loadable Function: [R, AMAT, BMAT, Q] = colloc (N, "left", "right")
     Compute derivative and integral weight matrices for orthogonal collocation using the subroutines given in J. Villadsen and M. L. Michelsen, `Solution of Differential Equation Models by Polynomial Approximation'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 108
Compute derivative and integral weight matrices for orthogonal collocation using the subroutines given in J.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
conv2
# name: <cell-element>
# type: string
# elements: 1
# length: 576
 -- Loadable Function: y = conv2 (A, B, SHAPE)
 -- Loadable Function: y = conv2 (V1, V2, M, SHAPE)
     Returns 2D convolution of A and B where the size of C is given by

    SHAPE= 'full'
          returns full 2-D convolution

    SHAPE= 'same'
          same size as a. 'central' part of convolution

    SHAPE= 'valid'
          only parts which do not include zero-padded edges

     By default SHAPE is 'full'.  When the third argument is a matrix returns the convolution of the matrix M by the vector V1 in the column direction and by vector V2 in the row direction
   
# name: <cell-element>
# type: string
# elements: 1
# length: 66
Returns 2D convolution of A and B where the size of C is given by 

# name: <cell-element>
# type: string
# elements: 1
# length: 9
convhulln
# name: <cell-element>
# type: string
# elements: 1
# length: 640
 -- Loadable Function: H = convhulln (P)
 -- Loadable Function: H = convhulln (P, OPT)
 -- Loadable Function: [H, V] = convhulln (...)
     Return an index vector to the points of the enclosing convex hull.  The input matrix of size [n, dim] contains n points of dimension dim.

     If a second optional argument is given, it must be a string or cell array of strings containing options for the underlying qhull command.  (See the Qhull documentation for the available options.)  The default options are "s Qci Tcv".  If the second output V is requested the volume of the convex hull is calculated.

     See also: convhull, delaunayn.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 66
Return an index vector to the points of the enclosing convex hull.

# name: <cell-element>
# type: string
# elements: 1
# length: 13
daspk_options
# name: <cell-element>
# type: string
# elements: 1
# length: 5703
 -- Loadable Function:  daspk_options (OPT, VAL)
     When called with two arguments, this function allows you set options parameters for the function `daspk'.  Given one argument, `daspk_options' returns the value of the corresponding option.  If no arguments are supplied, the names of all the available options and their current values are displayed.

     Options include

    `"absolute tolerance"'
          Absolute tolerance.  May be either vector or scalar.  If a vector, it must match the dimension of the state vector, and the relative tolerance must also be a vector of the same length.

    `"relative tolerance"'
          Relative tolerance.  May be either vector or scalar.  If a vector, it must match the dimension of the state vector, and the absolute tolerance must also be a vector of the same length.

          The local error test applied at each integration step is

                 abs (local error in x(i))
                      <= rtol(i) * abs (Y(i)) + atol(i)

    `"compute consistent initial condition"'
          Denoting the differential variables in the state vector by `Y_d' and the algebraic variables by `Y_a', `ddaspk' can solve one of two initialization problems:

            1. Given Y_d, calculate Y_a and Y'_d

            2. Given Y', calculate Y.

          In either case, initial values for the given components are input, and initial guesses for the unknown components must also be provided as input.  Set this option to 1 to solve the first problem, or 2 to solve the second (the default is 0, so you must provide a set of initial conditions that are consistent).

          If this option is set to a nonzero value, you must also set the `"algebraic variables"' option to declare which variables in the problem are algebraic.

    `"use initial condition heuristics"'
          Set to a nonzero value to use the initial condition heuristics options described below.

    `"initial condition heuristics"'
          A vector of the following parameters that can be used to control the initial condition calculation.

         `MXNIT'
               Maximum number of Newton iterations (default is 5).

         `MXNJ'
               Maximum number of Jacobian evaluations (default is 6).

         `MXNH'
               Maximum number of values of the artificial stepsize parameter to be tried if the `"compute consistent initial condition"' option has been set to 1 (default is 5).

               Note that the maximum total number of Newton iterations allowed is `MXNIT*MXNJ*MXNH' if the `"compute consistent initial condition"' option has been set to 1 and `MXNIT*MXNJ' if it is set to 2.

         `LSOFF'
               Set to a nonzero value to disable the linesearch algorithm (default is 0).

         `STPTOL'
               Minimum scaled step in linesearch algorithm (default is eps^(2/3)).

         `EPINIT'
               Swing factor in the Newton iteration convergence test.  The test is applied to the residual vector, premultiplied by the approximate Jacobian.  For convergence, the weighted RMS norm of this vector (scaled by the error weights) must be less than `EPINIT*EPCON', where `EPCON' = 0.33 is the analogous test constant used in the time steps.  The default is `EPINIT' = 0.01.

    `"print initial condition info"'
          Set this option to a nonzero value to display detailed information about the initial condition calculation (default is 0).

    `"exclude algebraic variables from error test"'
          Set to a nonzero value to exclude algebraic variables from the error test.  You must also set the `"algebraic variables"' option to declare which variables in the problem are algebraic (default is 0).

    `"algebraic variables"'
          A vector of the same length as the state vector.  A nonzero element indicates that the corresponding element of the state vector is an algebraic variable (i.e., its derivative does not appear explicitly in the equation set.

          This option is required by the `compute consistent initial condition"' and `"exclude algebraic variables from error test"' options.

    `"enforce inequality constraints"'
          Set to one of the following values to enforce the inequality constraints specified by the `"inequality constraint types"' option (default is 0).

            1. To have constraint checking only in the initial condition calculation.

            2. To enforce constraint checking during the integration.

            3. To enforce both options 1 and 2.

    `"inequality constraint types"'
          A vector of the same length as the state specifying the type of inequality constraint.  Each element of the vector corresponds to an element of the state and should be assigned one of the following codes

         -2
               Less than zero.

         -1
               Less than or equal to zero.

         0
               Not constrained.

         1
               Greater than or equal to zero.

         2
               Greater than zero.

          This option only has an effect if the `"enforce inequality constraints"' option is nonzero.

    `"initial step size"'
          Differential-algebraic problems may occasionally suffer from severe scaling difficulties on the first step.  If you know a great deal about the scaling of your problem, you can help to alleviate this problem by specifying an initial stepsize (default is computed automatically).

    `"maximum order"'
          Restrict the maximum order of the solution method.  This option must be between 1 and 5, inclusive (default is 5).

    `"maximum step size"'
          Setting the maximum stepsize will avoid passing over very large regions (default is not specified).

# name: <cell-element>
# type: string
# elements: 1
# length: 105
When called with two arguments, this function allows you set options parameters for the function `daspk'.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
daspk
# name: <cell-element>
# type: string
# elements: 1
# length: 2443
 -- Loadable Function: [X, XDOT, ISTATE, MSG] = daspk (FCN, X_0, XDOT_0, T, T_CRIT)
     Solve the set of differential-algebraic equations

          0 = f (x, xdot, t)

     with

          x(t_0) = x_0, xdot(t_0) = xdot_0

     The solution is returned in the matrices X and XDOT, with each row in the result matrices corresponding to one of the elements in the vector T.  The first element of T should be t_0 and correspond to the initial state of the system X_0 and its derivative XDOT_0, so that the first row of the output X is X_0 and the first row of the output XDOT is XDOT_0.

     The first argument, FCN, is a string, inline, or function handle that names the function f to call to compute the vector of residuals for the set of equations.  It must have the form

          RES = f (X, XDOT, T)

     in which X, XDOT, and RES are vectors, and T is a scalar.

     If FCN is a two-element string array or a two-element cell array of strings, inline functions, or function handles, the first element names the function f described above, and the second element names a function to compute the modified Jacobian

                df       df
          jac = -- + c ------
                dx     d xdot

     The modified Jacobian function must have the form


          JAC = j (X, XDOT, T, C)

     The second and third arguments to `daspk' specify the initial condition of the states and their derivatives, and the fourth argument specifies a vector of output times at which the solution is desired, including the time corresponding to the initial condition.

     The set of initial states and derivatives are not strictly required to be consistent.  If they are not consistent, you must use the `daspk_options' function to provide additional information so that `daspk' can compute a consistent starting point.

     The fifth argument is optional, and may be used to specify a set of times that the DAE solver should not integrate past.  It is useful for avoiding difficulties with singularities and points where there is a discontinuity in the derivative.

     After a successful computation, the value of ISTATE will be greater than zero (consistent with the Fortran version of DASPK).

     If the computation is not successful, the value of ISTATE will be less than zero and MSG will contain additional information.

     You can use the function `daspk_options' to set optional parameters for `daspk'.  See also: dassl.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 50
Solve the set of differential-algebraic equations 

# name: <cell-element>
# type: string
# elements: 1
# length: 13
dasrt_options
# name: <cell-element>
# type: string
# elements: 1
# length: 1641
 -- Loadable Function:  dasrt_options (OPT, VAL)
     When called with two arguments, this function allows you set options parameters for the function `dasrt'.  Given one argument, `dasrt_options' returns the value of the corresponding option.  If no arguments are supplied, the names of all the available options and their current values are displayed.

     Options include

    `"absolute tolerance"'
          Absolute tolerance.  May be either vector or scalar.  If a vector, it must match the dimension of the state vector, and the relative tolerance must also be a vector of the same length.

    `"relative tolerance"'
          Relative tolerance.  May be either vector or scalar.  If a vector, it must match the dimension of the state vector, and the absolute tolerance must also be a vector of the same length.

          The local error test applied at each integration step is
                 abs (local error in x(i)) <= ...
                     rtol(i) * abs (Y(i)) + atol(i)

    `"initial step size"'
          Differential-algebraic problems may occasionally suffer from severe scaling difficulties on the first step.  If you know a great deal about the scaling of your problem, you can help to alleviate this problem by specifying an initial stepsize.

    `"maximum order"'
          Restrict the maximum order of the solution method.  This option must be between 1 and 5, inclusive.

    `"maximum step size"'
          Setting the maximum stepsize will avoid passing over very large regions.

    `"step limit"'
          Maximum number of integration steps to attempt on a single call to the underlying Fortran code.

# name: <cell-element>
# type: string
# elements: 1
# length: 105
When called with two arguments, this function allows you set options parameters for the function `dasrt'.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
dasrt
# name: <cell-element>
# type: string
# elements: 1
# length: 3942
 -- Loadable Function: [X, XDOT, T_OUT, ISTAT, MSG] = dasrt (FCN [, G], X_0, XDOT_0, T [, T_CRIT])
     Solve the set of differential-algebraic equations

          0 = f (x, xdot, t)

     with

          x(t_0) = x_0, xdot(t_0) = xdot_0

     with functional stopping criteria (root solving).

     The solution is returned in the matrices X and XDOT, with each row in the result matrices corresponding to one of the elements in the vector T_OUT.  The first element of T should be t_0 and correspond to the initial state of the system X_0 and its derivative XDOT_0, so that the first row of the output X is X_0 and the first row of the output XDOT is XDOT_0.

     The vector T provides an upper limit on the length of the integration.  If the stopping condition is met, the vector T_OUT will be shorter than T, and the final element of T_OUT will be the point at which the stopping condition was met, and may not correspond to any element of the vector T.

     The first argument, FCN, is a string, inline, or function handle that names the function f to call to compute the vector of residuals for the set of equations.  It must have the form

          RES = f (X, XDOT, T)

     in which X, XDOT, and RES are vectors, and T is a scalar.

     If FCN is a two-element string array or a two-element cell array of strings, inline functions, or function handles, the first element names the function f described above, and the second element names a function to compute the modified Jacobian

                df       df
          jac = -- + c ------
                dx     d xdot

     The modified Jacobian function must have the form


          JAC = j (X, XDOT, T, C)

     The optional second argument names a function that defines the constraint functions whose roots are desired during the integration.  This function must have the form

          G_OUT = g (X, T)

     and return a vector of the constraint function values.  If the value of any of the constraint functions changes sign, DASRT will attempt to stop the integration at the point of the sign change.

     If the name of the constraint function is omitted, `dasrt' solves the same problem as `daspk' or `dassl'.

     Note that because of numerical errors in the constraint functions due to roundoff and integration error, DASRT may return false roots, or return the same root at two or more nearly equal values of T.  If such false roots are suspected, the user should consider smaller error tolerances or higher precision in the evaluation of the constraint functions.

     If a root of some constraint function defines the end of the problem, the input to DASRT should nevertheless allow integration to a point slightly past that root, so that DASRT can locate the root by interpolation.

     The third and fourth arguments to `dasrt' specify the initial condition of the states and their derivatives, and the fourth argument specifies a vector of output times at which the solution is desired, including the time corresponding to the initial condition.

     The set of initial states and derivatives are not strictly required to be consistent.  In practice, however, DASSL is not very good at determining a consistent set for you, so it is best if you ensure that the initial values result in the function evaluating to zero.

     The sixth argument is optional, and may be used to specify a set of times that the DAE solver should not integrate past.  It is useful for avoiding difficulties with singularities and points where there is a discontinuity in the derivative.

     After a successful computation, the value of ISTATE will be greater than zero (consistent with the Fortran version of DASSL).

     If the computation is not successful, the value of ISTATE will be less than zero and MSG will contain additional information.

     You can use the function `dasrt_options' to set optional parameters for `dasrt'.  See also: daspk, dasrt, lsode.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 50
Solve the set of differential-algebraic equations 

# name: <cell-element>
# type: string
# elements: 1
# length: 13
dassl_options
# name: <cell-element>
# type: string
# elements: 1
# length: 2248
 -- Loadable Function:  dassl_options (OPT, VAL)
     When called with two arguments, this function allows you set options parameters for the function `dassl'.  Given one argument, `dassl_options' returns the value of the corresponding option.  If no arguments are supplied, the names of all the available options and their current values are displayed.

     Options include

    `"absolute tolerance"'
          Absolute tolerance.  May be either vector or scalar.  If a vector, it must match the dimension of the state vector, and the relative tolerance must also be a vector of the same length.

    `"relative tolerance"'
          Relative tolerance.  May be either vector or scalar.  If a vector, it must match the dimension of the state vector, and the absolute tolerance must also be a vector of the same length.

          The local error test applied at each integration step is

                 abs (local error in x(i))
                      <= rtol(i) * abs (Y(i)) + atol(i)

    `"compute consistent initial condition"'
          If nonzero, `dassl' will attempt to compute a consistent set of initial conditions.  This is generally not reliable, so it is best to provide a consistent set and leave this option set to zero.

    `"enforce nonnegativity constraints"'
          If you know that the solutions to your equations will always be nonnegative, it may help to set this parameter to a nonzero value.  However, it is probably best to try leaving this option set to zero first, and only setting it to a nonzero value if that doesn't work very well.

    `"initial step size"'
          Differential-algebraic problems may occasionally suffer from severe scaling difficulties on the first step.  If you know a great deal about the scaling of your problem, you can help to alleviate this problem by specifying an initial stepsize.

    `"maximum order"'
          Restrict the maximum order of the solution method.  This option must be between 1 and 5, inclusive.

    `"maximum step size"'
          Setting the maximum stepsize will avoid passing over very large regions  (default is not specified).

    `"step limit"'
          Maximum number of integration steps to attempt on a single call to the underlying Fortran code.

# name: <cell-element>
# type: string
# elements: 1
# length: 105
When called with two arguments, this function allows you set options parameters for the function `dassl'.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
dassl
# name: <cell-element>
# type: string
# elements: 1
# length: 2477
 -- Loadable Function: [X, XDOT, ISTATE, MSG] = dassl (FCN, X_0, XDOT_0, T, T_CRIT)
     Solve the set of differential-algebraic equations

          0 = f (x, xdot, t)

     with

          x(t_0) = x_0, xdot(t_0) = xdot_0

     The solution is returned in the matrices X and XDOT, with each row in the result matrices corresponding to one of the elements in the vector T.  The first element of T should be t_0 and correspond to the initial state of the system X_0 and its derivative XDOT_0, so that the first row of the output X is X_0 and the first row of the output XDOT is XDOT_0.

     The first argument, FCN, is a string, inline, or function handle that names the function f to call to compute the vector of residuals for the set of equations.  It must have the form

          RES = f (X, XDOT, T)

     in which X, XDOT, and RES are vectors, and T is a scalar.

     If FCN is a two-element string array or a two-element cell array of strings, inline functions, or function handles, the first element names the function f described above, and the second element names a function to compute the modified Jacobian

                df       df
          jac = -- + c ------
                dx     d xdot

     The modified Jacobian function must have the form


          JAC = j (X, XDOT, T, C)

     The second and third arguments to `dassl' specify the initial condition of the states and their derivatives, and the fourth argument specifies a vector of output times at which the solution is desired, including the time corresponding to the initial condition.

     The set of initial states and derivatives are not strictly required to be consistent.  In practice, however, DASSL is not very good at determining a consistent set for you, so it is best if you ensure that the initial values result in the function evaluating to zero.

     The fifth argument is optional, and may be used to specify a set of times that the DAE solver should not integrate past.  It is useful for avoiding difficulties with singularities and points where there is a discontinuity in the derivative.

     After a successful computation, the value of ISTATE will be greater than zero (consistent with the Fortran version of DASSL).

     If the computation is not successful, the value of ISTATE will be less than zero and MSG will contain additional information.

     You can use the function `dassl_options' to set optional parameters for `dassl'.  See also: daspk, dasrt, lsode.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 50
Solve the set of differential-algebraic equations 

# name: <cell-element>
# type: string
# elements: 1
# length: 3
all
# name: <cell-element>
# type: string
# elements: 1
# length: 229
 -- Built-in Function:  all (X, DIM)
     The function `all' behaves like the function `any', except that it returns true only if all the elements of a vector, or all the elements along dimension DIM of a matrix, are nonzero.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 183
The function `all' behaves like the function `any', except that it returns true only if all the elements of a vector, or all the elements along dimension DIM of a matrix, are nonzero.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
any
# name: <cell-element>
# type: string
# elements: 1
# length: 515
 -- Built-in Function:  any (X, DIM)
     For a vector argument, return 1 if any element of the vector is nonzero.

     For a matrix argument, return a row vector of ones and zeros with each element indicating whether any of the elements of the corresponding column of the matrix are nonzero.  For example,

          any (eye (2, 4))
               => [ 1, 1, 0, 0 ]

     If the optional argument DIM is supplied, work along dimension DIM.  For example,

          any (eye (2, 4), 2)
               => [ 1; 1 ]

# name: <cell-element>
# type: string
# elements: 1
# length: 72
For a vector argument, return 1 if any element of the vector is nonzero.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
atan2
# name: <cell-element>
# type: string
# elements: 1
# length: 170
 -- Mapping Function:  atan2 (Y, X)
     Compute atan (Y / X) for corresponding elements of Y and X.  Signal an error if Y and X do not match in size and orientation.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 59
Compute atan (Y / X) for corresponding elements of Y and X.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
hypot
# name: <cell-element>
# type: string
# elements: 1
# length: 248
 -- Built-in Function:  hypot (X, Y)
     Compute the element-by-element square root of the sum of the squares of X and Y.  This is equivalent to `sqrt (X.^2 + Y.^2)', but calculated in a manner that avoids overflows for large values of X or Y.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 80
Compute the element-by-element square root of the sum of the squares of X and Y.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
log2
# name: <cell-element>
# type: string
# elements: 1
# length: 325
 -- Mapping Function:  log2 (X)
 -- Mapping Function: [F, E] = log2 (X)
     Compute the base-2 logarithm of each element of X.

     If called with two output arguments, split X into binary mantissa and exponent so that `1/2 <= abs(f) < 1' and E is an integer.  If `x = 0', `f = e = 0'.  See also: pow2, log, log10, exp.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 50
Compute the base-2 logarithm of each element of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
fmod
# name: <cell-element>
# type: string
# elements: 1
# length: 248
 -- Mapping Function:  fmod (X, Y)
     Compute the floating point remainder of dividing X by Y using the C library function `fmod'.  The result has the same sign as X.  If Y is zero, the result is implementation-dependent.  See also: mod, rem.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 92
Compute the floating point remainder of dividing X by Y using the C library function `fmod'.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
cumprod
# name: <cell-element>
# type: string
# elements: 1
# length: 386
 -- Built-in Function:  cumprod (X)
 -- Built-in Function:  cumprod (X, DIM)
     Cumulative product of elements along dimension DIM.  If DIM is omitted, it defaults to 1 (column-wise cumulative products).

     As a special case, if X is a vector and DIM is omitted, return the cumulative product of the elements as a vector with the same orientation as X.  See also: prod, cumsum.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 51
Cumulative product of elements along dimension DIM.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
cumsum
# name: <cell-element>
# type: string
# elements: 1
# length: 573
 -- Built-in Function:  cumsum (X)
 -- Built-in Function:  cumsum (X, DIM)
 -- Built-in Function:  cumsum (..., 'native')
     Cumulative sum of elements along dimension DIM.  If DIM is omitted, it defaults to 1 (column-wise cumulative sums).

     As a special case, if X is a vector and DIM is omitted, return the cumulative sum of the elements as a vector with the same orientation as X.

     The "native" argument implies the summation is performed in native type.   See `sum' for a complete description and example of the use of "native".  See also: sum, cumprod.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 47
Cumulative sum of elements along dimension DIM.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
diag
# name: <cell-element>
# type: string
# elements: 1
# length: 604
 -- Built-in Function:  diag (V, K)
     Return a diagonal matrix with vector V on diagonal K.  The second argument is optional.  If it is positive, the vector is placed on the K-th super-diagonal.  If it is negative, it is placed on the -K-th sub-diagonal.  The default value of K is 0, and the vector is placed on the main diagonal.  For example,

          diag ([1, 2, 3], 1)
               =>  0  1  0  0
                   0  0  2  0
                   0  0  0  3
                   0  0  0  0

     Given a matrix argument, instead of a vector, `diag' extracts the K-th diagonal of the matrix.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 53
Return a diagonal matrix with vector V on diagonal K.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
prod
# name: <cell-element>
# type: string
# elements: 1
# length: 304
 -- Built-in Function:  prod (X)
 -- Built-in Function:  prod (X, DIM)
     Product of elements along dimension DIM.  If DIM is omitted, it defaults to 1 (column-wise products).

     As a special case, if X is a vector and DIM is omitted, return the product of the elements.  See also: cumprod, sum.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 40
Product of elements along dimension DIM.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
horzcat
# name: <cell-element>
# type: string
# elements: 1
# length: 200
 -- Built-in Function:  horzcat (ARRAY1, ARRAY2, ..., ARRAYN)
     Return the horizontal concatenation of N-d array objects, ARRAY1, ARRAY2, ..., ARRAYN along dimension 2.  See also: cat, vertcat.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 75
Return the horizontal concatenation of N-d array objects, ARRAY1, ARRAY2, .

# name: <cell-element>
# type: string
# elements: 1
# length: 7
vertcat
# name: <cell-element>
# type: string
# elements: 1
# length: 198
 -- Built-in Function:  vertcat (ARRAY1, ARRAY2, ..., ARRAYN)
     Return the vertical concatenation of N-d array objects, ARRAY1, ARRAY2, ..., ARRAYN along dimension 1.  See also: cat, horzcat.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 73
Return the vertical concatenation of N-d array objects, ARRAY1, ARRAY2, .

# name: <cell-element>
# type: string
# elements: 1
# length: 3
cat
# name: <cell-element>
# type: string
# elements: 1
# length: 803
 -- Built-in Function:  cat (DIM, ARRAY1, ARRAY2, ..., ARRAYN)
     Return the concatenation of N-d array objects, ARRAY1, ARRAY2, ..., ARRAYN along dimension DIM.

          A = ones (2, 2);
          B = zeros (2, 2);
          cat (2, A, B)
          => ans =

               1 1 0 0
               1 1 0 0

     Alternatively, we can concatenate A and B along the second dimension the following way:

          [A, B].

     DIM can be larger than the dimensions of the N-d array objects and the result will thus have DIM dimensions as the following example shows:
          cat (4, ones(2, 2), zeros (2, 2))
          => ans =

             ans(:,:,1,1) =

               1 1
               1 1

             ans(:,:,1,2) =
               0 0
               0 0
     See also: horzcat, vertcat.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 64
Return the concatenation of N-d array objects, ARRAY1, ARRAY2, .

# name: <cell-element>
# type: string
# elements: 1
# length: 7
permute
# name: <cell-element>
# type: string
# elements: 1
# length: 255
 -- Built-in Function:  permute (A, PERM)
     Return the generalized transpose for an N-d array object A.  The permutation vector PERM must contain the elements `1:ndims(a)' (in any order, but each element must appear just once).  See also: ipermute.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 59
Return the generalized transpose for an N-d array object A.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
ipermute
# name: <cell-element>
# type: string
# elements: 1
# length: 208
 -- Built-in Function:  ipermute (A, IPERM)
     The inverse of the `permute' function.  The expression

          ipermute (permute (a, perm), perm)
     returns the original array A.  See also: permute.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 38
The inverse of the `permute' function.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
length
# name: <cell-element>
# type: string
# elements: 1
# length: 228
 -- Built-in Function:  length (A)
     Return the `length' of the object A.  For matrix objects, the length is the number of rows or columns, whichever is greater (this odd definition is used for compatibility with MATLAB).
   
# name: <cell-element>
# type: string
# elements: 1
# length: 36
Return the `length' of the object A.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
ndims
# name: <cell-element>
# type: string
# elements: 1
# length: 204
 -- Built-in Function:  ndims (A)
     Returns the number of dimensions of array A.  For any array, the result will always be larger than or equal to 2.  Trailing singleton dimensions are not counted.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 44
Returns the number of dimensions of array A.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
numel
# name: <cell-element>
# type: string
# elements: 1
# length: 107
 -- Built-in Function:  numel (A)
     Returns the number of elements in the object A.  See also: size.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 47
Returns the number of elements in the object A.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
size
# name: <cell-element>
# type: string
# elements: 1
# length: 730
 -- Built-in Function:  size (A, N)
     Return the number rows and columns of A.

     With one input argument and one output argument, the result is returned in a row vector.  If there are multiple output arguments, the number of rows is assigned to the first, and the number of columns to the second, etc.  For example,

          size ([1, 2; 3, 4; 5, 6])
               => [ 3, 2 ]

          [nr, nc] = size ([1, 2; 3, 4; 5, 6])
               => nr = 3
               => nc = 2

     If given a second argument, `size' will return the size of the corresponding dimension.  For example

          size ([1, 2; 3, 4; 5, 6], 2)
               => 2

     returns the number of columns in the given matrix.  See also: numel.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 40
Return the number rows and columns of A.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
size_equal
# name: <cell-element>
# type: string
# elements: 1
# length: 234
 -- Built-in Function:  size_equal (A, B, ...)
     Return true if the dimensions of all arguments agree.  Trailing singleton dimensions are ignored.  Called with a single argument, size_equal returns true.  See also: size, numel.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 53
Return true if the dimensions of all arguments agree.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
nnz
# name: <cell-element>
# type: string
# elements: 1
# length: 113
 -- Built-in Function: SCALAR = nnz (A)
     Returns the number of non zero elements in A.  See also: sparse.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 45
Returns the number of non zero elements in A.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
nzmax
# name: <cell-element>
# type: string
# elements: 1
# length: 401
 -- Built-in Function: SCALAR = nzmax (SM)
     Return the amount of storage allocated to the sparse matrix SM.  Note that Octave tends to crop unused memory at the first opportunity for sparse objects.  There are some cases of user created sparse objects where the value returned by "nzmax" will not be the same as "nnz", but in general they will give the same result.  See also: sparse, spalloc.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 63
Return the amount of storage allocated to the sparse matrix SM.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
rows
# name: <cell-element>
# type: string
# elements: 1
# length: 144
 -- Built-in Function:  rows (A)
     Return the number of rows of A.  See also: size, numel, columns, length, isscalar, isvector, ismatrix.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 31
Return the number of rows of A.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
columns
# name: <cell-element>
# type: string
# elements: 1
# length: 147
 -- Built-in Function:  columns (A)
     Return the number of columns of A.  See also: size, numel, rows, length, isscalar, isvector, ismatrix.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
Return the number of columns of A.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
sum
# name: <cell-element>
# type: string
# elements: 1
# length: 622
 -- Built-in Function:  sum (X)
 -- Built-in Function:  sum (X, DIM)
 -- Built-in Function:  sum (..., 'native')
     Sum of elements along dimension DIM.  If DIM is omitted, it defaults to 1 (column-wise sum).

     As a special case, if X is a vector and DIM is omitted, return the sum of the elements.

     If the optional argument 'native' is given, then the sum is performed in the same type as the original argument, rather than in the default double type.  For example

          sum ([true, true])
            => 2
          sum ([true, true], 'native')
            => true
     See also: cumsum, sumsq, prod.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 36
Sum of elements along dimension DIM.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
sumsq
# name: <cell-element>
# type: string
# elements: 1
# length: 481
 -- Built-in Function:  sumsq (X)
 -- Built-in Function:  sumsq (X, DIM)
     Sum of squares of elements along dimension DIM.  If DIM is omitted, it defaults to 1 (column-wise sum of squares).

     As a special case, if X is a vector and DIM is omitted, return the sum of squares of the elements.

     This function is conceptually equivalent to computing
          sum (x .* conj (x), dim)
     but it uses less memory and avoids calling `conj' if X is real.  See also: sum.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 47
Sum of squares of elements along dimension DIM.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
islogical
# name: <cell-element>
# type: string
# elements: 1
# length: 84
 -- Built-in Function:  islogical (X)
     Return true if X is a logical object.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 37
Return true if X is a logical object.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
isinteger
# name: <cell-element>
# type: string
# elements: 1
# length: 271
 -- Built-in Function:  isinteger (X)
     Return true if X is an integer object (int8, uint8, int16, etc.).  Note that `isinteger (14)' is false because numeric constants in Octave are double precision floating point values.  See also: isreal, isnumeric, class, isa.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 63
Return true if X is an integer object (int8, uint8, int16, etc.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
iscomplex
# name: <cell-element>
# type: string
# elements: 1
# length: 99
 -- Built-in Function:  iscomplex (X)
     Return true if X is a complex-valued numeric object.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 52
Return true if X is a complex-valued numeric object.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
isfloat
# name: <cell-element>
# type: string
# elements: 1
# length: 97
 -- Built-in Function:  isfloat (X)
     Return true if X is a floating-point numeric object.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 52
Return true if X is a floating-point numeric object.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
complex
# name: <cell-element>
# type: string
# elements: 1
# length: 458
 -- Built-in Function:  complex (X)
 -- Built-in Function:  complex (RE, IM)
     Return a complex result from real arguments.  With 1 real argument X, return the complex result `X + 0i'.  With 2 real arguments, return the complex result `RE + IM'.  `complex' can often be more convenient than expressions such as `a + i*b'.  For example:

          complex ([1, 2], [3, 4])
          =>
             1 + 3i   2 + 4i
     See also: real, imag, iscomplex.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 44
Return a complex result from real arguments.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
isreal
# name: <cell-element>
# type: string
# elements: 1
# length: 93
 -- Built-in Function:  isreal (X)
     Return true if X is a real-valued numeric object.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 49
Return true if X is a real-valued numeric object.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
isempty
# name: <cell-element>
# type: string
# elements: 1
# length: 172
 -- Built-in Function:  isempty (A)
     Return 1 if A is an empty matrix (either the number of rows, or the number of columns, or both are zero).  Otherwise, return 0.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 105
Return 1 if A is an empty matrix (either the number of rows, or the number of columns, or both are zero).

# name: <cell-element>
# type: string
# elements: 1
# length: 9
isnumeric
# name: <cell-element>
# type: string
# elements: 1
# length: 87
 -- Built-in Function:  isnumeric (X)
     Return nonzero if X is a numeric object.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 40
Return nonzero if X is a numeric object.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
islist
# name: <cell-element>
# type: string
# elements: 1
# length: 74
 -- Built-in Function:  islist (X)
     Return nonzero if X is a list.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 30
Return nonzero if X is a list.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
ismatrix
# name: <cell-element>
# type: string
# elements: 1
# length: 94
 -- Built-in Function:  ismatrix (A)
     Return 1 if A is a matrix.  Otherwise, return 0.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 26
Return 1 if A is a matrix.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
ones
# name: <cell-element>
# type: string
# elements: 1
# length: 573
 -- Built-in Function:  ones (X)
 -- Built-in Function:  ones (N, M)
 -- Built-in Function:  ones (N, M, K, ...)
 -- Built-in Function:  ones (..., CLASS)
     Return a matrix or N-dimensional array whose elements are all 1.  The arguments are handled the same as the arguments for `eye'.

     If you need to create a matrix whose values are all the same, you should use an expression like

          val_matrix = val * ones (n, m)

     The optional argument CLASS, allows `ones' to return an array of the specified type, for example

          val = ones (n,m, "uint8")

# name: <cell-element>
# type: string
# elements: 1
# length: 64
Return a matrix or N-dimensional array whose elements are all 1.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
zeros
# name: <cell-element>
# type: string
# elements: 1
# length: 435
 -- Built-in Function:  zeros (X)
 -- Built-in Function:  zeros (N, M)
 -- Built-in Function:  zeros (N, M, K, ...)
 -- Built-in Function:  zeros (..., CLASS)
     Return a matrix or N-dimensional array whose elements are all 0.  The arguments are handled the same as the arguments for `eye'.

     The optional argument CLASS, allows `zeros' to return an array of the specified type, for example

          val = zeros (n,m, "uint8")

# name: <cell-element>
# type: string
# elements: 1
# length: 64
Return a matrix or N-dimensional array whose elements are all 0.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
Inf
# name: <cell-element>
# type: string
# elements: 1
# length: 1031
 -- Built-in Function:  Inf
 -- Built-in Function:  Inf (N)
 -- Built-in Function:  Inf (N, M)
 -- Built-in Function:  Inf (N, M, K, ...)
 -- Built-in Function:  Inf (..., CLASS)
     Return a scalar, matrix or N-dimensional array whose elements are all equal to the IEEE representation for positive infinity.

     Infinity is produced when results are too large to be represented using the the IEEE floating point format for numbers.  Two common examples which produce infinity are division by zero and overflow.
          [1/0 e^800]
          =>
          Inf   Inf

     When called with no arguments, return a scalar with the value `Inf'.  When called with a single argument, return a square matrix with the dimension specified.  When called with more than one scalar argument the first two arguments are taken as the number of rows and columns and any further arguments specify additional matrix dimensions.  The optional argument CLASS specifies the return type and may be either "double" or "single".  See also: isinf.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 125
Return a scalar, matrix or N-dimensional array whose elements are all equal to the IEEE representation for positive infinity.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
NaN
# name: <cell-element>
# type: string
# elements: 1
# length: 1208
 -- Built-in Function:  NaN
 -- Built-in Function:  NaN (N)
 -- Built-in Function:  NaN (N, M)
 -- Built-in Function:  NaN (N, M, K, ...)
 -- Built-in Function:  NaN (..., CLASS)
     Return a scalar, matrix, or N-dimensional array whose elements are all equal to the IEEE symbol NaN (Not a Number).  NaN is the result of operations which do not produce a well defined numerical result.  Common operations which produce a NaN are arithmetic with infinity (Inf - Inf), zero divided by zero (0/0), and any operation involving another NaN value (5 + NaN).

     Note that NaN always compares not equal to NaN (NaN != NaN).  This behavior is specified by the IEEE standard for floating point arithmetic.  To find NaN values, use the `isnan' function.

     When called with no arguments, return a scalar with the value `NaN'.  When called with a single argument, return a square matrix with the dimension specified.  When called with more than one scalar argument the first two arguments are taken as the number of rows and columns and any further arguments specify additional matrix dimensions.  The optional argument CLASS specifies the return type and may be either "double" or "single".  See also: isnan.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 115
Return a scalar, matrix, or N-dimensional array whose elements are all equal to the IEEE symbol NaN (Not a Number).

# name: <cell-element>
# type: string
# elements: 1
# length: 1
e
# name: <cell-element>
# type: string
# elements: 1
# length: 781
 -- Built-in Function:  e
 -- Built-in Function:  e (N)
 -- Built-in Function:  e (N, M)
 -- Built-in Function:  e (N, M, K, ...)
 -- Built-in Function:  e (..., CLASS)
     Return a scalar, matrix, or N-dimensional array whose elements are all equal to the base of natural logarithms.  The constant `e' satisfies the equation `log' (e) = 1.

     When called with no arguments, return a scalar with the value e.  When called with a single argument, return a square matrix with the dimension specified.  When called with more than one scalar argument the first two arguments are taken as the number of rows and columns and any further arguments specify additional matrix dimensions.  The optional argument CLASS specifies the return type and may be either "double" or "single".
   
# name: <cell-element>
# type: string
# elements: 1
# length: 111
Return a scalar, matrix, or N-dimensional array whose elements are all equal to the base of natural logarithms.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
eps
# name: <cell-element>
# type: string
# elements: 1
# length: 1033
 -- Built-in Function:  eps
 -- Built-in Function:  eps (X)
 -- Built-in Function:  eps (N, M)
 -- Built-in Function:  eps (N, M, K, ...)
 -- Built-in Function:  eps (..., CLASS)
     Return a scalar, matrix or N-dimensional array whose elements are all eps, the machine precision.  More precisely, `eps' is the relative spacing between any two adjacent numbers in the machine's floating point system.  This number is obviously system dependent.  On machines that support IEEE floating point arithmetic, `eps' is approximately 2.2204e-16 for double precision and 1.1921e-07 for single precision.

     When called with no arguments, return a scalar with the value `eps(1.0)'.  Given a single argument X, return the distance between X and the next largest value.  When called with more than one argument the first two arguments are taken as the number of rows and columns and any further arguments specify additional matrix dimensions.  The optional argument CLASS specifies the return type and may be either "double" or "single".
   
# name: <cell-element>
# type: string
# elements: 1
# length: 97
Return a scalar, matrix or N-dimensional array whose elements are all eps, the machine precision.

# name: <cell-element>
# type: string
# elements: 1
# length: 2
pi
# name: <cell-element>
# type: string
# elements: 1
# length: 815
 -- Built-in Function:  pi
 -- Built-in Function:  pi (N)
 -- Built-in Function:  pi (N, M)
 -- Built-in Function:  pi (N, M, K, ...)
 -- Built-in Function:  pi (..., CLASS)
     Return a scalar, matrix, or N-dimensional array whose elements are all equal to the ratio of the circumference of a circle to its diameter.  Internally, `pi' is computed as `4.0 * atan (1.0)'.

     When called with no arguments, return a scalar with the value of pi.  When called with a single argument, return a square matrix with the dimension specified.  When called with more than one scalar argument the first two arguments are taken as the number of rows and columns and any further arguments specify additional matrix dimensions.  The optional argument CLASS specifies the return type and may be either "double" or "single".
   
# name: <cell-element>
# type: string
# elements: 1
# length: 139
Return a scalar, matrix, or N-dimensional array whose elements are all equal to the ratio of the circumference of a circle to its diameter.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
realmax
# name: <cell-element>
# type: string
# elements: 1
# length: 1027
 -- Built-in Function:  realmax
 -- Built-in Function:  realmax (N)
 -- Built-in Function:  realmax (N, M)
 -- Built-in Function:  realmax (N, M, K, ...)
 -- Built-in Function:  realmax (..., CLASS)
     Return a scalar, matrix or N-dimensional array whose elements are all equal to the largest floating point number that is representable.  The actual value is system dependent.  On machines that support IEEE floating point arithmetic, `realmax' is approximately 1.7977e+308 for double precision and 3.4028e+38 for single precision.

     When called with no arguments, return a scalar with the value `realmax("double")'.  When called with a single argument, return a square matrix with the dimension specified.  When called with more than one scalar argument the first two arguments are taken as the number of rows and columns and any further arguments specify additional matrix dimensions.  The optional argument CLASS specifies the return type and may be either "double" or "single".  See also: realmin, intmax, bitmax.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 135
Return a scalar, matrix or N-dimensional array whose elements are all equal to the largest floating point number that is representable.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
realmin
# name: <cell-element>
# type: string
# elements: 1
# length: 1031
 -- Built-in Function:  realmin
 -- Built-in Function:  realmin (N)
 -- Built-in Function:  realmin (N, M)
 -- Built-in Function:  realmin (N, M, K, ...)
 -- Built-in Function:  realmin (..., CLASS)
     Return a scalar, matrix or N-dimensional array whose elements are all equal to the smallest normalized floating point number that is representable.  The actual value is system dependent.  On machines that support IEEE floating point arithmetic, `realmin' is approximately 2.2251e-308 for double precision and 1.1755e-38 for single precision.

     When called with no arguments, return a scalar with the value `realmin("double")'.  When called with a single argument, return a square matrix with the dimension specified.  When called with more than one scalar argument the first two arguments are taken as the number of rows and columns and any further arguments specify additional matrix dimensions.  The optional argument CLASS specifies the return type and may be either "double" or "single".  See also: realmax, intmin.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 147
Return a scalar, matrix or N-dimensional array whose elements are all equal to the smallest normalized floating point number that is representable.

# name: <cell-element>
# type: string
# elements: 1
# length: 1
I
# name: <cell-element>
# type: string
# elements: 1
# length: 883
 -- Built-in Function:  I
 -- Built-in Function:  I (N)
 -- Built-in Function:  I (N, M)
 -- Built-in Function:  I (N, M, K, ...)
 -- Built-in Function:  I (..., CLASS)
     Return a scalar, matrix, or N-dimensional array whose elements are all equal to the pure imaginary unit, defined as `sqrt (-1)'.   I, and its equivalents i, J, and j, are functions so any of the names may be reused for other purposes (such as i for a counter variable).

     When called with no arguments, return a scalar with the value i.  When called with a single argument, return a square matrix with the dimension specified.  When called with more than one scalar argument the first two arguments are taken as the number of rows and columns and any further arguments specify additional matrix dimensions.  The optional argument CLASS specifies the return type and may be either "double" or "single".
   
# name: <cell-element>
# type: string
# elements: 1
# length: 128
Return a scalar, matrix, or N-dimensional array whose elements are all equal to the pure imaginary unit, defined as `sqrt (-1)'.

# name: <cell-element>
# type: string
# elements: 1
# length: 2
NA
# name: <cell-element>
# type: string
# elements: 1
# length: 881
 -- Built-in Function:  NA
 -- Built-in Function:  NA (N)
 -- Built-in Function:  NA (N, M)
 -- Built-in Function:  NA (N, M, K, ...)
 -- Built-in Function:  NA (..., CLASS)
     Return a scalar, matrix, or N-dimensional array whose elements are all equal to the special constant used to designate missing values.

     Note that NA always compares not equal to NA (NA != NA).  To find NA values, use the `isna' function.

     When called with no arguments, return a scalar with the value `NA'.  When called with a single argument, return a square matrix with the dimension specified.  When called with more than one scalar argument the first two arguments are taken as the number of rows and columns and any further arguments specify additional matrix dimensions.  The optional argument CLASS specifies the return type and may be either "double" or "single".  See also: isna.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 134
Return a scalar, matrix, or N-dimensional array whose elements are all equal to the special constant used to designate missing values.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
false
# name: <cell-element>
# type: string
# elements: 1
# length: 261
 -- Built-in Function:  false (X)
 -- Built-in Function:  false (N, M)
 -- Built-in Function:  false (N, M, K, ...)
     Return a matrix or N-dimensional array whose elements are all logical 0.  The arguments are handled the same as the arguments for `eye'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 72
Return a matrix or N-dimensional array whose elements are all logical 0.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
true
# name: <cell-element>
# type: string
# elements: 1
# length: 258
 -- Built-in Function:  true (X)
 -- Built-in Function:  true (N, M)
 -- Built-in Function:  true (N, M, K, ...)
     Return a matrix or N-dimensional array whose elements are all logical 1.  The arguments are handled the same as the arguments for `eye'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 72
Return a matrix or N-dimensional array whose elements are all logical 1.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
eye
# name: <cell-element>
# type: string
# elements: 1
# length: 1016
 -- Built-in Function:  eye (X)
 -- Built-in Function:  eye (N, M)
 -- Built-in Function:  eye (..., CLASS)
     Return an identity matrix.  If invoked with a single scalar argument, `eye' returns a square matrix with the dimension specified.  If you supply two scalar arguments, `eye' takes them to be the number of rows and columns.  If given a vector with two elements, `eye' uses the values of the elements as the number of rows and columns, respectively.  For example,

          eye (3)
               =>  1  0  0
                   0  1  0
                   0  0  1

     The following expressions all produce the same result:

          eye (2)
          ==
          eye (2, 2)
          ==
          eye (size ([1, 2; 3, 4])

     The optional argument CLASS, allows `eye' to return an array of the specified type, like

          val = zeros (n,m, "uint8")

     Calling `eye' with no arguments is equivalent to calling it with an argument of 1.  This odd definition is for compatibility with MATLAB.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 26
Return an identity matrix.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
linspace
# name: <cell-element>
# type: string
# elements: 1
# length: 547
 -- Built-in Function:  linspace (BASE, LIMIT, N)
     Return a row vector with N linearly spaced elements between BASE and LIMIT.  If the number of elements is greater than one, then the BASE and LIMIT are always included in the range.  If BASE is greater than LIMIT, the elements are stored in decreasing order.  If the number of points is not specified, a value of 100 is used.

     The `linspace' function always returns a row vector.

     For compatibility with MATLAB, return the second argument if fewer than two values are requested.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 75
Return a row vector with N linearly spaced elements between BASE and LIMIT.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
resize
# name: <cell-element>
# type: string
# elements: 1
# length: 1131
 -- Built-in Function:  resize (X, M)
 -- Built-in Function:  resize (X, M, N)
 -- Built-in Function:  resize (X, M, N, ...)
     Resize X cutting off elements as necessary.

     In the result, element with certain indices is equal to the corresponding element of X if the indices are within the bounds of X; otherwise, the element is set to zero.

     In other words, the statement

            y = resize (x, dv);

     is equivalent to the following code:

            y = zeros (dv, class (x));
            sz = min (dv, size (x));
            for i = 1:length (sz), idx{i} = 1:sz(i); endfor
            y(idx{:}) = x(idx{:});

     but is performed more efficiently.

     If only M is supplied and it is a scalar, the dimension of the result is M-by-M.  If M is a vector, then the dimensions of the result are given by the elements of M.  If both M and N are scalars, then the dimensions of the result are M-by-N.

     An object can be resized to more dimensions than it has; in such case the missing dimensions are assumed to be 1.  Resizing an object to fewer dimensions is not possible.  See also: reshape, postpad.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 43
Resize X cutting off elements as necessary.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
reshape
# name: <cell-element>
# type: string
# elements: 1
# length: 612
 -- Built-in Function:  reshape (A, M, N, ...)
 -- Built-in Function:  reshape (A, SIZE)
     Return a matrix with the given dimensions whose elements are taken from the matrix A.  The elements of the matrix are accessed in column-major order (like Fortran arrays are stored).

     For example,

          reshape ([1, 2, 3, 4], 2, 2)
               =>  1  3
                   2  4

     Note that the total number of elements in the original matrix must match the total number of elements in the new matrix.

     A single dimension of the return matrix can be unknown and is flagged by an empty argument.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 85
Return a matrix with the given dimensions whose elements are taken from the matrix A.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
squeeze
# name: <cell-element>
# type: string
# elements: 1
# length: 225
 -- Built-in Function:  squeeze (X)
     Remove singleton dimensions from X and return the result.  Note that for compatibility with MATLAB, all objects have a minimum of two dimensions and row vectors are left unchanged.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 57
Remove singleton dimensions from X and return the result.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
full
# name: <cell-element>
# type: string
# elements: 1
# length: 151
 -- Loadable Function: FM = full (SM)
     returns a full storage matrix from a sparse, diagonal, permutation matrix or a range.  See also: sparse.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 85
returns a full storage matrix from a sparse, diagonal, permutation matrix or a range.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
norm
# name: <cell-element>
# type: string
# elements: 1
# length: 1203
 -- Built-in Function:  norm (A, P, OPT)
     Compute the p-norm of the matrix A.  If the second argument is missing, `p = 2' is assumed.

     If A is a matrix (or sparse matrix):

    P = `1'
          1-norm, the largest column sum of the absolute values of A.

    P = `2'
          Largest singular value of A.

    P = `Inf' or `"inf"'
          Infinity norm, the largest row sum of the absolute values of A.

    P = `"fro"'
          Frobenius norm of A, `sqrt (sum (diag (A' * A)))'.

    other P, `P > 1'
          maximum `norm (A*x, p)' such that `norm (x, p) == 1'

     If A is a vector or a scalar:

    P = `Inf' or `"inf"'
          `max (abs (A))'.

    P = `-Inf'
          `min (abs (A))'.

    P = `"fro"'
          Frobenius norm of A, `sqrt (sumsq (abs (a)))'.

    P = 0
          Hamming norm - the number of nonzero elements.

    other P, `P > 1'
          p-norm of A, `(sum (abs (A) .^ P)) ^ (1/P)'.

    other P `P < 1'
          the p-pseudonorm defined as above.

     If `"rows"' is given as OPT, the norms of all rows of the matrix A are returned as a column vector.  Similarly, if `"columns"' or `"cols"' is passed column norms are computed.  See also: cond, svd.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 35
Compute the p-norm of the matrix A.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
not
# name: <cell-element>
# type: string
# elements: 1
# length: 78
 -- Built-in Function:  not (X)
     This function is equivalent to `! x'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 37
This function is equivalent to `! x'.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
uplus
# name: <cell-element>
# type: string
# elements: 1
# length: 80
 -- Built-in Function:  uplus (X)
     This function is equivalent to `+ x'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 37
This function is equivalent to `+ x'.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
uminus
# name: <cell-element>
# type: string
# elements: 1
# length: 81
 -- Built-in Function:  uminus (X)
     This function is equivalent to `- x'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 37
This function is equivalent to `- x'.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
transpose
# name: <cell-element>
# type: string
# elements: 1
# length: 84
 -- Built-in Function:  transpose (X)
     This function is equivalent to `x.''.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function is equivalent to `x.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
ctranspose
# name: <cell-element>
# type: string
# elements: 1
# length: 84
 -- Built-in Function:  ctranspose (X)
     This function is equivalent to `x''.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 36
This function is equivalent to `x''.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
plus
# name: <cell-element>
# type: string
# elements: 1
# length: 84
 -- Built-in Function:  plus (X, Y)
     This function is equivalent to `x + y'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 39
This function is equivalent to `x + y'.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
minus
# name: <cell-element>
# type: string
# elements: 1
# length: 85
 -- Built-in Function:  minus (X, Y)
     This function is equivalent to `x - y'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 39
This function is equivalent to `x - y'.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
mtimes
# name: <cell-element>
# type: string
# elements: 1
# length: 86
 -- Built-in Function:  mtimes (X, Y)
     This function is equivalent to `x * y'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 39
This function is equivalent to `x * y'.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
mrdivide
# name: <cell-element>
# type: string
# elements: 1
# length: 88
 -- Built-in Function:  mrdivide (X, Y)
     This function is equivalent to `x / y'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 39
This function is equivalent to `x / y'.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
mpower
# name: <cell-element>
# type: string
# elements: 1
# length: 86
 -- Built-in Function:  mpower (X, Y)
     This function is equivalent to `x ^ y'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 39
This function is equivalent to `x ^ y'.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
mldivide
# name: <cell-element>
# type: string
# elements: 1
# length: 88
 -- Built-in Function:  mldivide (X, Y)
     This function is equivalent to `x \ y'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 39
This function is equivalent to `x \ y'.

# name: <cell-element>
# type: string
# elements: 1
# length: 2
lt
# name: <cell-element>
# type: string
# elements: 1
# length: 82
 -- Built-in Function:  lt (X, Y)
     This function is equivalent to `x < y'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 39
This function is equivalent to `x < y'.

# name: <cell-element>
# type: string
# elements: 1
# length: 2
le
# name: <cell-element>
# type: string
# elements: 1
# length: 83
 -- Built-in Function:  le (X, Y)
     This function is equivalent to `x <= y'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 40
This function is equivalent to `x <= y'.

# name: <cell-element>
# type: string
# elements: 1
# length: 2
eq
# name: <cell-element>
# type: string
# elements: 1
# length: 83
 -- Built-in Function:  eq (X, Y)
     This function is equivalent to `x == y'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 40
This function is equivalent to `x == y'.

# name: <cell-element>
# type: string
# elements: 1
# length: 2
ge
# name: <cell-element>
# type: string
# elements: 1
# length: 83
 -- Built-in Function:  ge (X, Y)
     This function is equivalent to `x >= y'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 40
This function is equivalent to `x >= y'.

# name: <cell-element>
# type: string
# elements: 1
# length: 2
gt
# name: <cell-element>
# type: string
# elements: 1
# length: 82
 -- Built-in Function:  gt (X, Y)
     This function is equivalent to `x > y'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 39
This function is equivalent to `x > y'.

# name: <cell-element>
# type: string
# elements: 1
# length: 2
ne
# name: <cell-element>
# type: string
# elements: 1
# length: 83
 -- Built-in Function:  ne (X, Y)
     This function is equivalent to `x != y'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 40
This function is equivalent to `x != y'.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
times
# name: <cell-element>
# type: string
# elements: 1
# length: 86
 -- Built-in Function:  times (X, Y)
     This function is equivalent to `x .* y'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 35
This function is equivalent to `x .

# name: <cell-element>
# type: string
# elements: 1
# length: 7
rdivide
# name: <cell-element>
# type: string
# elements: 1
# length: 88
 -- Built-in Function:  rdivide (X, Y)
     This function is equivalent to `x ./ y'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 35
This function is equivalent to `x .

# name: <cell-element>
# type: string
# elements: 1
# length: 5
power
# name: <cell-element>
# type: string
# elements: 1
# length: 86
 -- Built-in Function:  power (X, Y)
     This function is equivalent to `x .^ y'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 35
This function is equivalent to `x .

# name: <cell-element>
# type: string
# elements: 1
# length: 7
ldivide
# name: <cell-element>
# type: string
# elements: 1
# length: 88
 -- Built-in Function:  ldivide (X, Y)
     This function is equivalent to `x .\ y'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 35
This function is equivalent to `x .

# name: <cell-element>
# type: string
# elements: 1
# length: 3
and
# name: <cell-element>
# type: string
# elements: 1
# length: 83
 -- Built-in Function:  and (X, Y)
     This function is equivalent to `x & y'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 39
This function is equivalent to `x & y'.

# name: <cell-element>
# type: string
# elements: 1
# length: 2
or
# name: <cell-element>
# type: string
# elements: 1
# length: 82
 -- Built-in Function:  or (X, Y)
     This function is equivalent to `x | y'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 39
This function is equivalent to `x | y'.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
tic
# name: <cell-element>
# type: string
# elements: 1
# length: 1367
 -- Built-in Function:  tic ()
 -- Built-in Function:  toc ()
     Set or check a wall-clock timer.  Calling `tic' without an output argument sets the timer.  Subsequent calls to `toc' return the number of seconds since the timer was set.  For example,

          tic ();
          # many computations later...
          elapsed_time = toc ();

     will set the variable `elapsed_time' to the number of seconds since the most recent call to the function `tic'.

     If called with one output argument then this function returns a scalar of type `uint64' and the wall-clock timer is not started.

          t = tic; sleep (5); (double (tic ()) - double (t)) * 1e-6
               => 5

     Nested timing with `tic' and `toc' is not supported.  Therefore `toc' will always return the elapsed time from the most recent call to `tic'.

     If you are more interested in the CPU time that your process used, you should use the `cputime' function instead.  The `tic' and `toc' functions report the actual wall clock time that elapsed between the calls.  This may include time spent processing other jobs or doing nothing at all.  For example,

          tic (); sleep (5); toc ()
               => 5
          t = cputime (); sleep (5); cputime () - t
               => 0

     (This example also illustrates that the CPU timer may have a fairly coarse resolution.)
   
# name: <cell-element>
# type: string
# elements: 1
# length: 32
Set or check a wall-clock timer.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
toc
# name: <cell-element>
# type: string
# elements: 1
# length: 48
 -- Built-in Function:  toc ()
     See tic.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 8
See tic.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
cputime
# name: <cell-element>
# type: string
# elements: 1
# length: 653
 -- Built-in Function: [TOTAL, USER, SYSTEM] = cputime ();
     Return the CPU time used by your Octave session.  The first output is the total time spent executing your process and is equal to the sum of second and third outputs, which are the number of CPU seconds spent executing in user mode and the number of CPU seconds spent executing in system mode, respectively.  If your system does not have a way to report CPU time usage, `cputime' returns 0 for each of its output values.  Note that because Octave used some CPU time to start, it is reasonable to check to see if `cputime' works by checking to see if the total CPU time used is nonzero.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 48
Return the CPU time used by your Octave session.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
sort
# name: <cell-element>
# type: string
# elements: 1
# length: 1417
 -- Loadable Function: [S, I] = sort (X)
 -- Loadable Function: [S, I] = sort (X, DIM)
 -- Loadable Function: [S, I] = sort (X, MODE)
 -- Loadable Function: [S, I] = sort (X, DIM, MODE)
     Return a copy of X with the elements arranged in increasing order.  For matrices, `sort' orders the elements in each column.

     For example,

          sort ([1, 2; 2, 3; 3, 1])
               =>  1  1
                   2  2
                   3  3

     The `sort' function may also be used to produce a matrix containing the original row indices of the elements in the sorted matrix.  For example,

          [s, i] = sort ([1, 2; 2, 3; 3, 1])
               => s = 1  1
                      2  2
                      3  3
               => i = 1  3
                      2  1
                      3  2

     If the optional argument DIM is given, then the matrix is sorted along the dimension defined by DIM.  The optional argument `mode' defines the order in which the values will be sorted.  Valid values of `mode' are `ascend' or `descend'.

     For equal elements, the indices are such that the equal elements are listed in the order that appeared in the original list.

     The `sort' function may also be used to sort strings and cell arrays of strings, in which case the dictionary order of the strings is used.

     The algorithm used in `sort' is optimized for the sorting of partially ordered lists.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 66
Return a copy of X with the elements arranged in increasing order.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
issorted
# name: <cell-element>
# type: string
# elements: 1
# length: 367
 -- Built-in Function:  issorted (A, ROWS)
     Returns true if the array is sorted, ascending or descending.  NaNs are treated as by `sort'.  If ROWS is supplied and has the value "rows", checks whether the array is sorted by rows as if output by `sortrows' (with no options).

     This function does not yet support sparse matrices.  See also: sortrows, sort.

   
# name: <cell-element>
# type: string
# elements: 1
# length: 61
Returns true if the array is sorted, ascending or descending.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
dbstop
# name: <cell-element>
# type: string
# elements: 1
# length: 501
 -- Loadable Function: RLINE = dbstop (FUNC, LINE, ...)
     Set a breakpoint in a function
    `func'
          String representing the function name.  When already in debug mode this should be left out and only the line should be given.

    `line'
          Line number you would like the breakpoint to be set on.  Multiple lines might be given as separate arguments or as a vector.

     The rline returned is the real line that the breakpoint was set at.  See also: dbclear, dbstatus, dbstep.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 78
Set a breakpoint in a function  `func'  String representing the function name.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
dbclear
# name: <cell-element>
# type: string
# elements: 1
# length: 565
 -- Loadable Function:  dbclear (FUNC, LINE, ...)
     Delete a breakpoint in a function
    `func'
          String representing the function name.  When already in debug mode this should be left out and only the line should be given.

    `line'
          Line number where you would like to remove the breakpoint.  Multiple lines might be given as separate arguments or as a vector.
     No checking is done to make sure that the line you requested is really a breakpoint.  If you get the wrong line nothing will happen.  See also: dbstop, dbstatus, dbwhere.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 81
Delete a breakpoint in a function  `func'  String representing the function name.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
dbstatus
# name: <cell-element>
# type: string
# elements: 1
# length: 277
 -- Loadable Function: lst = dbstatus (FUNC)
     Return a vector containing the lines on which a function has breakpoints set.
    `func'
          String representing the function name.  When already in debug mode this should be left out.
     See also: dbclear, dbwhere.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 77
Return a vector containing the lines on which a function has breakpoints set.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
dbwhere
# name: <cell-element>
# type: string
# elements: 1
# length: 110
 -- Loadable Function:  dbwhere ()
     Show where we are in the code See also: dbclear, dbstatus, dbstop.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 66
Show where we are in the code See also: dbclear, dbstatus, dbstop.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
dbtype
# name: <cell-element>
# type: string
# elements: 1
# length: 116
 -- Loadable Function:  dbtype ()
     List script file with line numbers.  See also: dbclear, dbstatus, dbstop.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 35
List script file with line numbers.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
dbstack
# name: <cell-element>
# type: string
# elements: 1
# length: 199
 -- Loadable Function: [STACK, IDX] dbstack (N)
     Print or return current stack information.  With optional argument N, omit the N innermost stack frames.  See also: dbclear, dbstatus, dbstop.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 42
Print or return current stack information.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
dbup
# name: <cell-element>
# type: string
# elements: 1
# length: 155
 -- Loadable Function:  dbup (N)
     In debugging mode, move up the execution stack N frames.  If N is omitted, move up one frame.  See also: dbstack.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 56
In debugging mode, move up the execution stack N frames.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
dbdown
# name: <cell-element>
# type: string
# elements: 1
# length: 161
 -- Loadable Function:  dbdown (N)
     In debugging mode, move down the execution stack N frames.  If N is omitted, move down one frame.  See also: dbstack.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 58
In debugging mode, move down the execution stack N frames.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
dbstep
# name: <cell-element>
# type: string
# elements: 1
# length: 509
 -- Command:  dbstep N
 -- Command:  dbstep in
 -- Command:  dbstep out
     In debugging mode, execute the next N lines of code.  If N is omitted execute the next line of code.  If the next line of code is itself defined in terms of an m-file remain in the existing function.

     Using `dbstep in' will cause execution of the next line to step into any m-files defined on the next line.  Using `dbstep out' with cause execution to continue until the current function returns.  See also: dbcont, dbquit.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 52
In debugging mode, execute the next N lines of code.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
dbcont
# name: <cell-element>
# type: string
# elements: 1
# length: 122
 -- Command:  dbcont ()
     In debugging mode, quit debugging mode and continue execution.  See also: dbstep, dbstep.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 62
In debugging mode, quit debugging mode and continue execution.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
dbquit
# name: <cell-element>
# type: string
# elements: 1
# length: 127
 -- Command:  dbquit ()
     In debugging mode, quit debugging mode and return to the top level.  See also: dbstep, dbcont.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 67
In debugging mode, quit debugging mode and return to the top level.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
isdebugmode
# name: <cell-element>
# type: string
# elements: 1
# length: 134
 -- Command:  isdebugmode ()
     Return true if debug mode is on, otherwise false.  See also: dbstack, dbclear, dbstop, dbstatus.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 49
Return true if debug mode is on, otherwise false.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
EDITOR
# name: <cell-element>
# type: string
# elements: 1
# length: 394
 -- Built-in Function: VAL = EDITOR ()
 -- Built-in Function: OLD_VAL = EDITOR (NEW_VAL)
     Query or set the internal variable that specifies the editor to use with the `edit_history' command.  The default value is taken from the environment variable `EDITOR' when Octave starts.  If the environment variable is not initialized, `EDITOR' will be set to `"emacs"'.  See also: edit_history.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 100
Query or set the internal variable that specifies the editor to use with the `edit_history' command.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
EXEC_PATH
# name: <cell-element>
# type: string
# elements: 1
# length: 690
 -- Built-in Function: VAL = EXEC_PATH ()
 -- Built-in Function: OLD_VAL = EXEC_PATH (NEW_VAL)
     Query or set the internal variable that specifies a colon separated list of directories to search when executing external programs.  Its initial value is taken from the environment variable `OCTAVE_EXEC_PATH' (if it exists) or `PATH', but that value can be overridden by the command line argument `--exec-path PATH'.  At startup, an additional set of directories (including the shell PATH) is appended to the path specified in the environment or on the command line.  If you use the `EXEC_PATH' function to modify the path, you should take care to preserve these additional directories.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 131
Query or set the internal variable that specifies a colon separated list of directories to search when executing external programs.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
IMAGE_PATH
# name: <cell-element>
# type: string
# elements: 1
# length: 229
 -- Built-in Function: VAL = IMAGE_PATH ()
 -- Built-in Function: OLD_VAL = IMAGE_PATH (NEW_VAL)
     Query or set the internal variable that specifies a colon separated list of directories in which to search for image files.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 123
Query or set the internal variable that specifies a colon separated list of directories in which to search for image files.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
OCTAVE_HOME
# name: <cell-element>
# type: string
# elements: 1
# length: 111
 -- Built-in Function:  OCTAVE_HOME ()
     Return the name of the top-level Octave installation directory.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 63
Return the name of the top-level Octave installation directory.

# name: <cell-element>
# type: string
# elements: 1
# length: 14
OCTAVE_VERSION
# name: <cell-element>
# type: string
# elements: 1
# length: 100
 -- Built-in Function:  OCTAVE_VERSION ()
     Return the version number of Octave, as a string.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 49
Return the version number of Octave, as a string.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
det
# name: <cell-element>
# type: string
# elements: 1
# length: 205
 -- Loadable Function: [D, RCOND] = det (A)
     Compute the determinant of A using LAPACK for full and UMFPACK for sparse matrices.  Return an estimate of the reciprocal condition number if requested.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 83
Compute the determinant of A using LAPACK for full and UMFPACK for sparse matrices.

# name: <cell-element>
# type: string
# elements: 1
# length: 2
cd
# name: <cell-element>
# type: string
# elements: 1
# length: 409
 -- Command: cd dir
 -- Command: chdir dir
     Change the current working directory to DIR.  If DIR is omitted, the current directory is changed to the user's home directory.  For example,

          cd ~/octave

     Changes the current working directory to `~/octave'.  If the directory does not exist, an error message is printed and the working directory is not changed.  See also: mkdir, rmdir, dir.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 44
Change the current working directory to DIR.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
pwd
# name: <cell-element>
# type: string
# elements: 1
# length: 97
 -- Built-in Function:  pwd ()
     Return the current working directory.  See also: dir, ls.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 37
Return the current working directory.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
readdir
# name: <cell-element>
# type: string
# elements: 1
# length: 356
 -- Built-in Function: [FILES, ERR, MSG] = readdir (DIR)
     Return names of the files in the directory DIR as a cell array of strings.  If an error occurs, return an empty cell array in FILES.

     If successful, ERR is 0 and MSG is an empty string.  Otherwise, ERR is nonzero and MSG contains a system-dependent error message.  See also: dir, glob.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 74
Return names of the files in the directory DIR as a cell array of strings.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
mkdir
# name: <cell-element>
# type: string
# elements: 1
# length: 402
 -- Built-in Function: [STATUS, MSG, MSGID] = mkdir (DIR)
 -- Built-in Function: [STATUS, MSG, MSGID] = mkdir (PARENT, DIR)
     Create a directory named DIR in the directory PARENT.

     If successful, STATUS is 1, with MSG and MSGID empty character strings.  Otherwise, STATUS is 0, MSG contains a system-dependent error message, and MSGID contains a unique message identifier.  See also: rmdir.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 53
Create a directory named DIR in the directory PARENT.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
rmdir
# name: <cell-element>
# type: string
# elements: 1
# length: 520
 -- Built-in Function: [STATUS, MSG, MSGID] = rmdir (DIR)
 -- Built-in Function: [STATUS, MSG, MSGID] = rmdir (DIR, `"s"')
     Remove the directory named DIR.

     If successful, STATUS is 1, with MSG and MSGID empty character strings.  Otherwise, STATUS is 0, MSG contains a system-dependent error message, and MSGID contains a unique message identifier.

     If the optional second parameter is supplied with value `"s"', recursively remove all subdirectories as well.  See also: mkdir, confirm_recursive_rmdir.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 31
Remove the directory named DIR.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
link
# name: <cell-element>
# type: string
# elements: 1
# length: 283
 -- Built-in Function: [ERR, MSG] = link (OLD, NEW)
     Create a new link (also known as a hard link) to an existing file.

     If successful, ERR is 0 and MSG is an empty string.  Otherwise, ERR is nonzero and MSG contains a system-dependent error message.  See also: symlink.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 66
Create a new link (also known as a hard link) to an existing file.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
symlink
# name: <cell-element>
# type: string
# elements: 1
# length: 284
 -- Built-in Function: [ERR, MSG] = symlink (OLD, NEW)
     Create a symbolic link NEW which contains the string OLD.

     If successful, ERR is 0 and MSG is an empty string.  Otherwise, ERR is nonzero and MSG contains a system-dependent error message.  See also: link, readlink.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 57
Create a symbolic link NEW which contains the string OLD.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
readlink
# name: <cell-element>
# type: string
# elements: 1
# length: 337
 -- Built-in Function: [RESULT, ERR, MSG] = readlink (SYMLINK)
     Read the value of the symbolic link SYMLINK.

     If successful, RESULT contains the contents of the symbolic link SYMLINK, ERR is 0 and MSG is an empty string.  Otherwise, ERR is nonzero and MSG contains a system-dependent error message.  See also: link, symlink.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 44
Read the value of the symbolic link SYMLINK.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
rename
# name: <cell-element>
# type: string
# elements: 1
# length: 254
 -- Built-in Function: [ERR, MSG] = rename (OLD, NEW)
     Change the name of file OLD to NEW.

     If successful, ERR is 0 and MSG is an empty string.  Otherwise, ERR is nonzero and MSG contains a system-dependent error message.  See also: ls, dir.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 35
Change the name of file OLD to NEW.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
glob
# name: <cell-element>
# type: string
# elements: 1
# length: 423
 -- Built-in Function:  glob (PATTERN)
     Given an array of strings (as a char array or a cell array) in PATTERN, return a cell array of file names that match any of them, or an empty cell array if no patterns match.  Tilde expansion is performed on each of the patterns before looking for matching file names.  For example,

          glob ("/vm*")
               => "/vmlinuz"
     See also: dir, ls, stat, readdir.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 174
Given an array of strings (as a char array or a cell array) in PATTERN, return a cell array of file names that match any of them, or an empty cell array if no patterns match.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
fnmatch
# name: <cell-element>
# type: string
# elements: 1
# length: 304
 -- Built-in Function:  fnmatch (PATTERN, STRING)
     Return 1 or zero for each element of STRING that matches any of the elements of the string array PATTERN, using the rules of filename pattern matching.  For example,

          fnmatch ("a*b", {"ab"; "axyzb"; "xyzab"})
               => [ 1; 1; 0 ]

# name: <cell-element>
# type: string
# elements: 1
# length: 151
Return 1 or zero for each element of STRING that matches any of the elements of the string array PATTERN, using the rules of filename pattern matching.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
filesep
# name: <cell-element>
# type: string
# elements: 1
# length: 433
 -- Built-in Function:  filesep ()
 -- Built-in Function:  filesep ('all')
     Return the system-dependent character used to separate directory names.

     If 'all' is given, the function return all valid file separators in the form of a string.  The list of file separators is system-dependent.  It is / (forward slash) under UNIX or Mac OS X, / and \ (forward and backward slashes) under Windows.  See also: pathsep, dir, ls.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 71
Return the system-dependent character used to separate directory names.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
pathsep
# name: <cell-element>
# type: string
# elements: 1
# length: 195
 -- Built-in Function: VAL = pathsep ()
 -- Built-in Function: OLD_VAL = pathsep (NEW_VAL)
     Query or set the character used to separate directories in a path.  See also: filesep, dir, ls.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 66
Query or set the character used to separate directories in a path.

# name: <cell-element>
# type: string
# elements: 1
# length: 23
confirm_recursive_rmdir
# name: <cell-element>
# type: string
# elements: 1
# length: 267
 -- Built-in Function: VAL = confirm_recursive_rmdir ()
 -- Built-in Function: OLD_VAL = confirm_recursive_rmdir (NEW_VAL)
     Query or set the internal variable that controls whether Octave will ask for confirmation before recursively removing a directory tree.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 135
Query or set the internal variable that controls whether Octave will ask for confirmation before recursively removing a directory tree.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
builtin
# name: <cell-element>
# type: string
# elements: 1
# length: 177
 -- Loadable Function: [...] builtin (F, ...)
     Call the base function F even if F is overloaded to some other function for the given type signature.  See also: dispatch.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 101
Call the base function F even if F is overloaded to some other function for the given type signature.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
dispatch
# name: <cell-element>
# type: string
# elements: 1
# length: 463
 -- Loadable Function:  dispatch (F, R, TYPE)
     Replace the function F with a dispatch so that function R is called when F is called with the first argument of the named TYPE.  If the type is ANY then call R if no other type matches.  The original function F is accessible using `builtin (F, ...)'.

     If R is omitted, clear dispatch function associated with TYPE.

     If both R and TYPE are omitted, list dispatch functions for F.  See also: builtin.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 127
Replace the function F with a dispatch so that function R is called when F is called with the first argument of the named TYPE.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
dlmread
# name: <cell-element>
# type: string
# elements: 1
# length: 795
 -- Loadable Function: DATA = dlmread (FILE)
 -- Loadable Function: DATA = dlmread (FILE, SEP)
 -- Loadable Function: DATA = dlmread (FILE, SEP, R0, C0)
 -- Loadable Function: DATA = dlmread (FILE, SEP, RANGE)
     Read the matrix DATA from a text file.  If not defined the separator between fields is determined from the file itself.  Otherwise the separation character is defined by SEP.

     Given two scalar arguments R0 and C0, these define the starting row and column of the data to be read.  These values are indexed from zero, such that the first row corresponds to an index of zero.

     The RANGE parameter must be a 4 element vector containing the upper left and lower right corner `[R0,C0,R1,C1]' or a spreadsheet style range such as 'A2..Q15'.  The lowest index value is zero.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 38
Read the matrix DATA from a text file.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
dmperm
# name: <cell-element>
# type: string
# elements: 1
# length: 714
 -- Loadable Function: P = dmperm (S)
 -- Loadable Function: [P, Q, R, S] = dmperm (S)
     Perform a Dulmage-Mendelsohn permutation on the sparse matrix S.  With a single output argument "dmperm" performs the row permutations P such that `S (P,:)' has no zero elements on the diagonal.

     Called with two or more output arguments, returns the row and column permutations, such that `S (P, Q)' is in block triangular form.  The values of R and S define the boundaries of the blocks.  If S is square then `R == S'.

     The method used is described in: A. Pothen & C.-J. Fan. Computing the block triangular form of a sparse matrix. ACM Trans. Math. Software, 16(4):303-324, 1990.  See also: colamd, ccolamd.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 64
Perform a Dulmage-Mendelsohn permutation on the sparse matrix S.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
sprank
# name: <cell-element>
# type: string
# elements: 1
# length: 400
 -- Loadable Function: P = sprank (S)
     Calculates the structural rank of a sparse matrix S.  Note that only the structure of the matrix is used in this calculation based on a Dulmage-Mendelsohn permutation to block triangular form.  As such the numerical rank of the matrix S is bounded by `sprank (S) >= rank (S)'.  Ignoring floating point errors `sprank (S) == rank (S)'.  See also: dmperm.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 52
Calculates the structural rank of a sparse matrix S.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
eig
# name: <cell-element>
# type: string
# elements: 1
# length: 565
 -- Loadable Function: LAMBDA = eig (A)
 -- Loadable Function: LAMBDA = eig (A, B)
 -- Loadable Function: [V, LAMBDA] = eig (A)
 -- Loadable Function: [V, LAMBDA] = eig (A, B)
     The eigenvalues (and eigenvectors) of a matrix are computed in a several step process which begins with a Hessenberg decomposition, followed by a Schur decomposition, from which the eigenvalues are apparent.  The eigenvectors, when desired, are computed by further manipulations of the Schur decomposition.

     The eigenvalues returned by `eig' are not ordered.  See also: eigs.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 207
The eigenvalues (and eigenvectors) of a matrix are computed in a several step process which begins with a Hessenberg decomposition, followed by a Schur decomposition, from which the eigenvalues are apparent.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
eigs
# name: <cell-element>
# type: string
# elements: 1
# length: 5508
 -- Loadable Function: D = eigs (A)
 -- Loadable Function: D = eigs (A, K)
 -- Loadable Function: D = eigs (A, K, SIGMA)
 -- Loadable Function: D = eigs (A, K, SIGMA,OPTS)
 -- Loadable Function: D = eigs (A, B)
 -- Loadable Function: D = eigs (A, B, K)
 -- Loadable Function: D = eigs (A, B, K, SIGMA)
 -- Loadable Function: D = eigs (A, B, K, SIGMA, OPTS)
 -- Loadable Function: D = eigs (AF, N)
 -- Loadable Function: D = eigs (AF, N, B)
 -- Loadable Function: D = eigs (AF, N, K)
 -- Loadable Function: D = eigs (AF, N, B, K)
 -- Loadable Function: D = eigs (AF, N, K, SIGMA)
 -- Loadable Function: D = eigs (AF, N, B, K, SIGMA)
 -- Loadable Function: D = eigs (AF, N, K, SIGMA, OPTS)
 -- Loadable Function: D = eigs (AF, N, B, K, SIGMA, OPTS)
 -- Loadable Function: [V, D] = eigs (A, ...)
 -- Loadable Function: [V, D] = eigs (AF, N, ...)
 -- Loadable Function: [V, D, FLAG] = eigs (A, ...)
 -- Loadable Function: [V, D, FLAG] = eigs (AF, N, ...)
     Calculate a limited number of eigenvalues and eigenvectors of A, based on a selection criteria.  The number eigenvalues and eigenvectors to calculate is given by K whose default value is 6.

     By default `eigs' solve the equation `A * v = lambda * v' , where `lambda' is a scalar representing one of the eigenvalues, and `v' is the corresponding eigenvector.  If given the positive definite matrix B then `eigs' solves the general eigenvalue equation `A * v = lambda * B * v' .

     The argument SIGMA determines which eigenvalues are returned.  SIGMA can be either a scalar or a string.  When SIGMA is a scalar, the K eigenvalues closest to SIGMA are returned.  If SIGMA is a string, it must have one of the values

    'lm'
          Largest magnitude (default).

    'sm'
          Smallest magnitude.

    'la'
          Largest Algebraic (valid only for real symmetric problems).

    'sa'
          Smallest Algebraic (valid only for real symmetric problems).

    'be'
          Both ends, with one more from the high-end if K is odd (valid only for real symmetric problems).

    'lr'
          Largest real part (valid only for complex or unsymmetric problems).

    'sr'
          Smallest real part (valid only for complex or unsymmetric problems).

    'li'
          Largest imaginary part (valid only for complex or unsymmetric problems).

    'si'
          Smallest imaginary part (valid only for complex or unsymmetric problems).

     If OPTS is given, it is a structure defining some of the options that `eigs' should use.  The fields of the structure OPTS are

    `issym'
          If AF is given, then flags whether the function AF defines a symmetric problem.  It is ignored if A is given.  The default is false.

    `isreal'
          If AF is given, then flags whether the function AF defines a real problem.  It is ignored if A is given.  The default is true.

    `tol'
          Defines the required convergence tolerance, given as `tol * norm (A)'.  The default is `eps'.

    `maxit'
          The maximum number of iterations.  The default is 300.

    `p'
          The number of Lanzcos basis vectors to use.  More vectors will result in faster convergence, but a larger amount of memory.  The optimal value of 'p' is problem dependent and should be in the range K to N.  The default value is `2 * K'.

    `v0'
          The starting vector for the computation.  The default is to have ARPACK randomly generate a starting vector.

    `disp'
          The level of diagnostic printout.  If `disp' is 0 then there is no printout.  The default value is 1.

    `cholB'
          Flag if `chol (B)' is passed rather than B.  The default is false.

    `permB'
          The permutation vector of the Cholesky factorization of B if `cholB' is true.  That is `chol ( B (permB, permB))'.  The default is `1:N'.


     It is also possible to represent A by a function denoted AF.  AF must be followed by a scalar argument N defining the length of the vector argument accepted by AF.  AF can be passed either as an inline function, function handle or as a string.  In the case where AF is passed as a string, the name of the string defines the function to use.

     AF is a function of the form `function y = af (x), y = ...; endfunction', where the required return value of AF is determined by the value of SIGMA, and are

    `A * x'
          If SIGMA is not given or is a string other than 'sm'.

    `A \ x'
          If SIGMA is 'sm'.

    `(A - sigma * I) \ x'
          for standard eigenvalue problem, where `I' is the identity matrix of the same size as `A'.  If SIGMA is zero, this reduces the `A \ x'.

    `(A - sigma * B) \ x'
          for the general eigenvalue problem.

     The return arguments of `eigs' depends on the number of return arguments.  With a single return argument, a vector D of length K is returned, represent the K eigenvalues that have been found.  With two return arguments, V is a N-by-K matrix whose columns are the K eigenvectors corresponding to the returned eigenvalues.  The eigenvalues themselves are then returned in D in the form of a N-by-K matrix, where the elements on the diagonal are the eigenvalues.

     Given a third return argument FLAG, `eigs' also returns the status of the convergence.  If FLAG is 0, then all eigenvalues have converged, otherwise not.

     This function is based on the ARPACK package, written by R Lehoucq, K Maschhoff, D Sorensen and C Yang.  For more information see `http://www.caam.rice.edu/software/ARPACK/'.

   See also: eig, svds.  
# name: <cell-element>
# type: string
# elements: 1
# length: 95
Calculate a limited number of eigenvalues and eigenvectors of A, based on a selection criteria.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
rethrow
# name: <cell-element>
# type: string
# elements: 1
# length: 359
 -- Built-in Function:  rethrow (ERR)
     Reissues a previous error as defined by ERR.  ERR is a structure that must contain at least the 'message' and 'identifier' fields.  ERR can also contain a field 'stack' that gives information on the assumed location of the error.  Typically ERR is returned from `lasterror'.  See also: lasterror, lasterr, error.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 44
Reissues a previous error as defined by ERR.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
error
# name: <cell-element>
# type: string
# elements: 1
# length: 1719
 -- Built-in Function:  error (TEMPLATE, ...)
 -- Built-in Function:  error (ID, TEMPLATE, ...)
     Format the optional arguments under the control of the template string TEMPLATE using the same rules as the `printf' family of functions (*note Formatted Output::) and print the resulting message on the `stderr' stream.  The message is prefixed by the character string `error: '.

     Calling `error' also sets Octave's internal error state such that control will return to the top level without evaluating any more commands.  This is useful for aborting from functions or scripts.

     If the error message does not end with a new line character, Octave will print a traceback of all the function calls leading to the error.  For example, given the following function definitions:

          function f () g (); end
          function g () h (); end
          function h () nargin == 1 || error ("nargin != 1"); end

     calling the function `f' will result in a list of messages that can help you to quickly locate the exact location of the error:

          f ()
          error: nargin != 1
          error: called from:
          error:   error at line -1, column -1
          error:   h at line 1, column 27
          error:   g at line 1, column 15
          error:   f at line 1, column 15

     If the error message ends in a new line character, Octave will print the message but will not display any traceback messages as it returns control to the top level.  For example, modifying the error message in the previous example to end in a new line causes Octave to only print a single message:

          function h () nargin == 1 || error ("nargin != 1\n"); end
          f ()
          error: nargin != 1

# name: <cell-element>
# type: string
# elements: 1
# length: 219
Format the optional arguments under the control of the template string TEMPLATE using the same rules as the `printf' family of functions (*note Formatted Output::) and print the resulting message on the `stderr' stream.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
warning
# name: <cell-element>
# type: string
# elements: 1
# length: 1166
 -- Built-in Function:  warning (TEMPLATE, ...)
 -- Built-in Function:  warning (ID, TEMPLATE, ...)
     Format the optional arguments under the control of the template string TEMPLATE using the same rules as the `printf' family of functions (*note Formatted Output::) and print the resulting message on the `stderr' stream.  The message is prefixed by the character string `warning: '.  You should use this function when you want to notify the user of an unusual condition, but only when it makes sense for your program to go on.

     The optional message identifier allows users to enable or disable warnings tagged by ID.  The special identifier `"all"' may be used to set the state of all warnings.

 -- Built-in Function:  warning ("on", ID)
 -- Built-in Function:  warning ("off", ID)
 -- Built-in Function:  warning ("error", ID)
 -- Built-in Function:  warning ("query", ID)
     Set or query the state of a particular warning using the identifier ID.  If the identifier is omitted, a value of `"all"' is assumed.  If you set the state of a warning to `"error"', the warning named by ID is handled as if it were an error instead.  See also: warning_ids.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 71
Set or query the state of a particular warning using the identifier ID.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
lasterror
# name: <cell-element>
# type: string
# elements: 1
# length: 1405
 -- Built-in Function: ERR = lasterror (ERR)
 -- Built-in Function:  lasterror ('reset')
     Returns or sets the last error message.  Called without any arguments returns a structure containing the last error message, as well as other information related to this error.  The elements of this structure are:

    'message'
          The text of the last error message

    'identifier'
          The message identifier of this error message

    'stack'
          A structure containing information on where the message occurred.  This might be an empty structure if this in the case where this information cannot be obtained.  The fields of this structure are:

         'file'
               The name of the file where the error occurred

         'name'
               The name of function in which the error occurred

         'line'
               The line number at which the error occurred

         'column'
               An optional field with the column number at which the error occurred

     The ERR structure may also be passed to `lasterror' to set the information about the last error.  The only constraint on ERR in that case is that it is a scalar structure.  Any fields of ERR that match the above are set to the value passed in ERR, while other fields are set to their default values.

     If `lasterror' is called with the argument 'reset', all values take their default values.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 39
Returns or sets the last error message.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
lasterr
# name: <cell-element>
# type: string
# elements: 1
# length: 235
 -- Built-in Function: [MSG, MSGID] = lasterr (MSG, MSGID)
     Without any arguments, return the last error message.  With one argument, set the last error message to MSG.  With two arguments, also set the last message identifier.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 53
Without any arguments, return the last error message.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
lastwarn
# name: <cell-element>
# type: string
# elements: 1
# length: 240
 -- Built-in Function: [MSG, MSGID] = lastwarn (MSG, MSGID)
     Without any arguments, return the last warning message.  With one argument, set the last warning message to MSG.  With two arguments, also set the last message identifier.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 55
Without any arguments, return the last warning message.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
usage
# name: <cell-element>
# type: string
# elements: 1
# length: 814
 -- Built-in Function:  usage (MSG)
     Print the message MSG, prefixed by the string `usage: ', and set Octave's internal error state such that control will return to the top level without evaluating any more commands.  This is useful for aborting from functions.

     After `usage' is evaluated, Octave will print a traceback of all the function calls leading to the usage message.

     You should use this function for reporting problems errors that result from an improper call to a function, such as calling a function with an incorrect number of arguments, or with arguments of the wrong type.  For example, most functions distributed with Octave begin with code like this

          if (nargin != 2)
            usage ("foo (a, b)");
          endif

     to check for the proper number of arguments.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 179
Print the message MSG, prefixed by the string `usage: ', and set Octave's internal error state such that control will return to the top level without evaluating any more commands.

# name: <cell-element>
# type: string
# elements: 1
# length: 13
beep_on_error
# name: <cell-element>
# type: string
# elements: 1
# length: 244
 -- Built-in Function: VAL = beep_on_error ()
 -- Built-in Function: OLD_VAL = beep_on_error (NEW_VAL)
     Query or set the internal variable that controls whether Octave will try to ring the terminal bell before printing an error message.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 132
Query or set the internal variable that controls whether Octave will try to ring the terminal bell before printing an error message.

# name: <cell-element>
# type: string
# elements: 1
# length: 14
debug_on_error
# name: <cell-element>
# type: string
# elements: 1
# length: 352
 -- Built-in Function: VAL = debug_on_error ()
 -- Built-in Function: OLD_VAL = debug_on_error (NEW_VAL)
     Query or set the internal variable that controls whether Octave will try to enter the debugger when an error is encountered.  This will also inhibit printing of the normal traceback message (you will only see the top-level error message).
   
# name: <cell-element>
# type: string
# elements: 1
# length: 124
Query or set the internal variable that controls whether Octave will try to enter the debugger when an error is encountered.

# name: <cell-element>
# type: string
# elements: 1
# length: 16
debug_on_warning
# name: <cell-element>
# type: string
# elements: 1
# length: 243
 -- Built-in Function: VAL = debug_on_warning ()
 -- Built-in Function: OLD_VAL = debug_on_warning (NEW_VAL)
     Query or set the internal variable that controls whether Octave will try to enter the debugger when a warning is encountered.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 125
Query or set the internal variable that controls whether Octave will try to enter the debugger when a warning is encountered.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
fft
# name: <cell-element>
# type: string
# elements: 1
# length: 802
 -- Loadable Function:  fft (A, N, DIM)
     Compute the FFT of A using subroutines from FFTW.  The FFT is calculated along the first non-singleton dimension of the array.  Thus if A is a matrix, `fft (A)' computes the FFT for each column of A.

     If called with two arguments, N is expected to be an integer specifying the number of elements of A to use, or an empty matrix to specify that its value should be ignored.  If N is larger than the dimension along which the FFT is calculated, then A is resized and padded with zeros.  Otherwise, if N is smaller than the dimension along which the FFT is calculated, then A is truncated.

     If called with three arguments, DIM is an integer specifying the dimension of the matrix along which the FFT is performed See also: ifft, fft2, fftn, fftw.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 49
Compute the FFT of A using subroutines from FFTW.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
ifft
# name: <cell-element>
# type: string
# elements: 1
# length: 851
 -- Loadable Function:  ifft (A, N, DIM)
     Compute the inverse FFT of A using subroutines from FFTW.  The inverse FFT is calculated along the first non-singleton dimension of the array.  Thus if A is a matrix, `fft (A)' computes the inverse FFT for each column of A.

     If called with two arguments, N is expected to be an integer specifying the number of elements of A to use, or an empty matrix to specify that its value should be ignored.  If N is larger than the dimension along which the inverse FFT is calculated, then A is resized and padded with zeros.  Otherwise, ifN is smaller than the dimension along which the inverse FFT is calculated, then A is truncated.

     If called with three arguments, DIM is an integer specifying the dimension of the matrix along which the inverse FFT is performed See also: fft, ifft2, ifftn, fftw.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 57
Compute the inverse FFT of A using subroutines from FFTW.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
fft2
# name: <cell-element>
# type: string
# elements: 1
# length: 430
 -- Loadable Function:  fft2 (A, N, M)
     Compute the two-dimensional FFT of A using subroutines from FFTW.  The optional arguments N and M may be used specify the number of rows and columns of A to use.  If either of these is larger than the size of A, A is resized and padded with zeros.

     If A is a multi-dimensional matrix, each two-dimensional sub-matrix of A is treated separately See also: ifft2, fft, fftn, fftw.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 65
Compute the two-dimensional FFT of A using subroutines from FFTW.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
ifft2
# name: <cell-element>
# type: string
# elements: 1
# length: 439
 -- Loadable Function:  fft2 (A, N, M)
     Compute the inverse two-dimensional FFT of A using subroutines from FFTW.  The optional arguments N and M may be used specify the number of rows and columns of A to use.  If either of these is larger than the size of A, A is resized and padded with zeros.

     If A is a multi-dimensional matrix, each two-dimensional sub-matrix of A is treated separately See also: fft2, ifft, ifftn, fftw.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 73
Compute the inverse two-dimensional FFT of A using subroutines from FFTW.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
fftn
# name: <cell-element>
# type: string
# elements: 1
# length: 482
 -- Loadable Function:  fftn (A, SIZE)
     Compute the N-dimensional FFT of A using subroutines from FFTW.  The optional vector argument SIZE may be used specify the dimensions of the array to be used.  If an element of SIZE is smaller than the corresponding dimension, then the dimension is truncated prior to performing the FFT.  Otherwise if an element of SIZE is larger than the corresponding dimension A is resized and padded with zeros.  See also: ifftn, fft, fft2, fftw.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 63
Compute the N-dimensional FFT of A using subroutines from FFTW.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
ifftn
# name: <cell-element>
# type: string
# elements: 1
# length: 500
 -- Loadable Function:  ifftn (A, SIZE)
     Compute the inverse N-dimensional FFT of A using subroutines from FFTW.  The optional vector argument SIZE may be used specify the dimensions of the array to be used.  If an element of SIZE is smaller than the corresponding dimension, then the dimension is truncated prior to performing the inverse FFT.  Otherwise if an element of SIZE is larger than the corresponding dimension A is resized and padded with zeros.  See also: fftn, ifft, ifft2, fftw.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 71
Compute the inverse N-dimensional FFT of A using subroutines from FFTW.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
fftw
# name: <cell-element>
# type: string
# elements: 1
# length: 2792
 -- Loadable Function: METHOD = fftw ('planner')
 -- Loadable Function:  fftw ('planner', METHOD)
 -- Loadable Function: WISDOM = fftw ('dwisdom')
 -- Loadable Function: WISDOM = fftw ('dwisdom', WISDOM)
     Manage FFTW wisdom data.  Wisdom data can be used to significantly accelerate the calculation of the FFTs but implies an initial cost in its calculation.  When the FFTW libraries are initialized, they read a system wide wisdom file (typically in `/etc/fftw/wisdom'), allowing wisdom to be shared between applications other than Octave.  Alternatively, the `fftw' function can be used to import wisdom.  For example

          WISDOM = fftw ('dwisdom')

     will save the existing wisdom used by Octave to the string WISDOM.  This string can then be saved to a file and restored using the `save' and `load' commands respectively.  This existing wisdom can be reimported as follows

          fftw ('dwisdom', WISDOM)

     If WISDOM is an empty matrix, then the wisdom used is cleared.

     During the calculation of Fourier transforms further wisdom is generated.  The fashion in which this wisdom is generated is equally controlled by the `fftw' function.  There are five different manners in which the wisdom can be treated, these being

    'estimate'
          This specifies that no run-time measurement of the optimal means of calculating a particular is performed, and a simple heuristic is used to pick a (probably sub-optimal) plan.  The advantage of this method is that there is little or no overhead in the generation of the plan, which is appropriate for a Fourier transform that will be calculated once.

    'measure'
          In this case a range of algorithms to perform the transform is considered and the best is selected based on their execution time.

    'patient'
          This is like 'measure', but a wider range of algorithms is considered.

    'exhaustive'
          This is like 'measure', but all possible algorithms that may be used to treat the transform are considered.

    'hybrid'
          As run-time measurement of the algorithm can be expensive, this is a compromise where 'measure' is used for transforms up to the size of 8192 and beyond that the 'estimate' method is used.

     The default method is 'estimate', and the method currently being used can be probed with

          METHOD = fftw ('planner')

     and the method used can be set using

          fftw ('planner', METHOD)

     Note that calculated wisdom will be lost when restarting Octave.  However, the wisdom data can be reloaded if it is saved to a file as described above.  Saved wisdom files should not be used on different platforms since they will not be efficient and the point of calculating the wisdom is lost.  See also: fft, ifft, fft2, ifft2, fftn, ifftn.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 24
Manage FFTW wisdom data.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
fclose
# name: <cell-element>
# type: string
# elements: 1
# length: 166
 -- Built-in Function:  fclose (FID)
     Closes the specified file.  If successful, `fclose' returns 0, otherwise, it returns -1.  See also: fopen, fseek, ftell.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 26
Closes the specified file.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
fclear
# name: <cell-element>
# type: string
# elements: 1
# length: 92
 -- Built-in Function:  fclear (FID)
     Clear the stream state for the specified file.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 46
Clear the stream state for the specified file.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
fflush
# name: <cell-element>
# type: string
# elements: 1
# length: 390
 -- Built-in Function:  fflush (FID)
     Flush output to FID.  This is useful for ensuring that all pending output makes it to the screen before some other event occurs.  For example, it is always a good idea to flush the standard output stream before calling `input'.

     `fflush' returns 0 on success and an OS dependent error value (-1 on unix) on error.  See also: fopen, fclose.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 20
Flush output to FID.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
fgetl
# name: <cell-element>
# type: string
# elements: 1
# length: 401
 -- Built-in Function:  fgetl (FID, LEN)
     Read characters from a file, stopping after a newline, or EOF, or LEN characters have been read.  The characters read, excluding the possible trailing newline, are returned as a string.

     If LEN is omitted, `fgetl' reads until the next newline character.

     If there are no more characters to read, `fgetl' returns -1.  See also: fread, fscanf.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 96
Read characters from a file, stopping after a newline, or EOF, or LEN characters have been read.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
fgets
# name: <cell-element>
# type: string
# elements: 1
# length: 415
 -- Built-in Function:  fgets (FID, LEN)
     Read characters from a file, stopping after a newline, or EOF, or LEN characters have been read.  The characters read, including the possible trailing newline, are returned as a string.

     If LEN is omitted, `fgets' reads until the next newline character.

     If there are no more characters to read, `fgets' returns -1.  See also: fputs, fopen, fread, fscanf.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 96
Read characters from a file, stopping after a newline, or EOF, or LEN characters have been read.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
fopen
# name: <cell-element>
# type: string
# elements: 1
# length: 3128
 -- Built-in Function: [FID, MSG] = fopen (NAME, MODE, ARCH)
 -- Built-in Function: FID_LIST = fopen ("all")
 -- Built-in Function: [FILE, MODE, ARCH] = fopen (FID)
     The first form of the `fopen' function opens the named file with the specified mode (read-write, read-only, etc.) and architecture interpretation (IEEE big endian, IEEE little endian, etc.), and returns an integer value that may be used to refer to the file later.  If an error occurs, FID is set to -1 and MSG contains the corresponding system error message.  The MODE is a one or two character string that specifies whether the file is to be opened for reading, writing, or both.

     The second form of the `fopen' function returns a vector of file ids corresponding to all the currently open files, excluding the `stdin', `stdout', and `stderr' streams.

     The third form of the `fopen' function returns information about the open file given its file id.

     For example,

          myfile = fopen ("splat.dat", "r", "ieee-le");

     opens the file `splat.dat' for reading.  If necessary, binary numeric values will be read assuming they are stored in IEEE format with the least significant bit first, and then converted to the native representation.

     Opening a file that is already open simply opens it again and returns a separate file id.  It is not an error to open a file several times, though writing to the same file through several different file ids may produce unexpected results.

     The possible values `mode' may have are

    `r'
          Open a file for reading.

    `w'
          Open a file for writing.  The previous contents are discarded.

    `a'
          Open or create a file for writing at the end of the file.

    `r+'
          Open an existing file for reading and writing.

    `w+'
          Open a file for reading or writing.  The previous contents are discarded.

    `a+'
          Open or create a file for reading or writing at the end of the file.

     Append a "t" to the mode string to open the file in text mode or a "b" to open in binary mode.  On Windows and Macintosh systems, text mode reading and writing automatically converts linefeeds to the appropriate line end character for the system (carriage-return linefeed on Windows, carriage-return on Macintosh).  The default if no mode is specified is binary mode.

     Additionally, you may append a "z" to the mode string to open a gzipped file for reading or writing.  For this to be successful, you must also open the file in binary mode.

     The parameter ARCH is a string specifying the default data format for the file.  Valid values for ARCH are:

          `native' The format of the current machine (this is the default).

          `ieee-be' IEEE big endian format.

          `ieee-le' IEEE little endian format.

          `vaxd' VAX D floating format.

          `vaxg' VAX G floating format.

          `cray' Cray floating format.

     however, conversions are currently only supported for `native' `ieee-be', and `ieee-le' formats.  See also: fclose, fgets, fputs, fread, fseek, ferror, fprintf, fscanf, ftell, fwrite.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 112
The first form of the `fopen' function opens the named file with the specified mode (read-write, read-only, etc.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
freport
# name: <cell-element>
# type: string
# elements: 1
# length: 395
 -- Built-in Function:  freport ()
     Print a list of which files have been opened, and whether they are open for reading, writing, or both.  For example,

          freport ()

               -|  number  mode  name
               -|
               -|       0     r  stdin
               -|       1     w  stdout
               -|       2     w  stderr
               -|       3     r  myfile

# name: <cell-element>
# type: string
# elements: 1
# length: 102
Print a list of which files have been opened, and whether they are open for reading, writing, or both.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
frewind
# name: <cell-element>
# type: string
# elements: 1
# length: 212
 -- Built-in Function:  frewind (FID)
     Move the file pointer to the beginning of the file FID, returning 0 for success, and -1 if an error was encountered.  It is equivalent to `fseek (FID, 0, SEEK_SET)'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 116
Move the file pointer to the beginning of the file FID, returning 0 for success, and -1 if an error was encountered.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
fseek
# name: <cell-element>
# type: string
# elements: 1
# length: 569
 -- Built-in Function:  fseek (FID, OFFSET, ORIGIN)
     Set the file pointer to any location within the file FID.

     The pointer is positioned OFFSET characters from the ORIGIN, which may be one of the predefined variables `SEEK_CUR' (current position), `SEEK_SET' (beginning), or `SEEK_END' (end of file) or strings "cof", "bof" or "eof".  If ORIGIN is omitted, `SEEK_SET' is assumed.  The offset must be zero, or a value returned by `ftell' (in which case ORIGIN must be `SEEK_SET').

     Return 0 on success and -1 on error.  See also: ftell, fopen, fclose.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 57
Set the file pointer to any location within the file FID.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
ftell
# name: <cell-element>
# type: string
# elements: 1
# length: 181
 -- Built-in Function:  ftell (FID)
     Return the position of the file pointer as the number of characters from the beginning of the file FID.  See also: fseek, fopen, fclose.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 103
Return the position of the file pointer as the number of characters from the beginning of the file FID.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
fprintf
# name: <cell-element>
# type: string
# elements: 1
# length: 284
 -- Built-in Function:  fprintf (FID, TEMPLATE, ...)
     This function is just like `printf', except that the output is written to the stream FID instead of `stdout'.  If FID is omitted, the output is written to `stdout'.  See also: printf, sprintf, fread, fscanf, fopen, fclose.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 109
This function is just like `printf', except that the output is written to the stream FID instead of `stdout'.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
printf
# name: <cell-element>
# type: string
# elements: 1
# length: 363
 -- Built-in Function:  printf (TEMPLATE, ...)
     Print optional arguments under the control of the template string TEMPLATE to the stream `stdout' and return the number of characters printed.

     See the Formatted Output section of the GNU Octave manual for a complete description of the syntax of the template string.  See also: fprintf, sprintf, scanf.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 142
Print optional arguments under the control of the template string TEMPLATE to the stream `stdout' and return the number of characters printed.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
fputs
# name: <cell-element>
# type: string
# elements: 1
# length: 218
 -- Built-in Function:  fputs (FID, STRING)
     Write a string to a file with no formatting.

     Return a non-negative number on success and EOF on error.  See also: scanf, sscanf, fread, fprintf, fgets, fscanf.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 44
Write a string to a file with no formatting.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
puts
# name: <cell-element>
# type: string
# elements: 1
# length: 168
 -- Built-in Function:  puts (STRING)
     Write a string to the standard output with no formatting.

     Return a non-negative number on success and EOF on error.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 57
Write a string to the standard output with no formatting.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
sprintf
# name: <cell-element>
# type: string
# elements: 1
# length: 369
 -- Built-in Function:  sprintf (TEMPLATE, ...)
     This is like `printf', except that the output is returned as a string.  Unlike the C library function, which requires you to provide a suitably sized string as an argument, Octave's `sprintf' function returns the string, automatically sized to hold all of the items converted.  See also: printf, fprintf, sscanf.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 70
This is like `printf', except that the output is returned as a string.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
fscanf
# name: <cell-element>
# type: string
# elements: 1
# length: 1535
 -- Built-in Function: [VAL, COUNT] = fscanf (FID, TEMPLATE, SIZE)
 -- Built-in Function: [V1, V2, ..., COUNT] = fscanf (FID, TEMPLATE, "C")
     In the first form, read from FID according to TEMPLATE, returning the result in the matrix VAL.

     The optional argument SIZE specifies the amount of data to read and may be one of

    `Inf'
          Read as much as possible, returning a column vector.

    `NR'
          Read up to NR elements, returning a column vector.

    `[NR, Inf]'
          Read as much as possible, returning a matrix with NR rows.  If the number of elements read is not an exact multiple of NR, the last column is padded with zeros.

    `[NR, NC]'
          Read up to `NR * NC' elements, returning a matrix with NR rows.  If the number of elements read is not an exact multiple of NR, the last column is padded with zeros.

     If SIZE is omitted, a value of `Inf' is assumed.

     A string is returned if TEMPLATE specifies only character conversions.

     The number of items successfully read is returned in COUNT.

     In the second form, read from FID according to TEMPLATE, with each conversion specifier in TEMPLATE corresponding to a single scalar return value.  This form is more `C-like', and also compatible with previous versions of Octave.  The number of successful conversions is returned in COUNT

     See the Formatted Input section of the GNU Octave manual for a complete description of the syntax of the template string.  See also: scanf, sscanf, fread, fprintf, fgets, fputs.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 95
In the first form, read from FID according to TEMPLATE, returning the result in the matrix VAL.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
sscanf
# name: <cell-element>
# type: string
# elements: 1
# length: 371
 -- Built-in Function: [VAL, COUNT] = sscanf (STRING, TEMPLATE, SIZE)
 -- Built-in Function: [V1, V2, ..., COUNT] = sscanf (STRING, TEMPLATE, "C")
     This is like `fscanf', except that the characters are taken from the string STRING instead of from a stream.  Reaching the end of the string is treated as an end-of-file condition.  See also: fscanf, scanf, sprintf.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 108
This is like `fscanf', except that the characters are taken from the string STRING instead of from a stream.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
scanf
# name: <cell-element>
# type: string
# elements: 1
# length: 306
 -- Built-in Function: [VAL, COUNT] = scanf (TEMPLATE, SIZE)
 -- Built-in Function: [V1, V2, ..., COUNT]] = scanf (TEMPLATE, "C")
     This is equivalent to calling `fscanf' with FID = `stdin'.

     It is currently not useful to call `scanf' in interactive programs.  See also: fscanf, sscanf, printf.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 58
This is equivalent to calling `fscanf' with FID = `stdin'.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
fread
# name: <cell-element>
# type: string
# elements: 1
# length: 4231
 -- Built-in Function: [VAL, COUNT] = fread (FID, SIZE, PRECISION, SKIP, ARCH)
     Read binary data of type PRECISION from the specified file ID FID.

     The optional argument SIZE specifies the amount of data to read and may be one of

    `Inf'
          Read as much as possible, returning a column vector.

    `NR'
          Read up to NR elements, returning a column vector.

    `[NR, Inf]'
          Read as much as possible, returning a matrix with NR rows.  If the number of elements read is not an exact multiple of NR, the last column is padded with zeros.

    `[NR, NC]'
          Read up to `NR * NC' elements, returning a matrix with NR rows.  If the number of elements read is not an exact multiple of NR, the last column is padded with zeros.

     If SIZE is omitted, a value of `Inf' is assumed.

     The optional argument PRECISION is a string specifying the type of data to read and may be one of

    `"schar"'
    `"signed char"'
          Signed character.

    `"uchar"'
    `"unsigned char"'
          Unsigned character.

    `"int8"'
    `"integer*1"'
          8-bit signed integer.

    `"int16"'
    `"integer*2"'
          16-bit signed integer.

    `"int32"'
    `"integer*4"'
          32-bit signed integer.

    `"int64"'
    `"integer*8"'
          64-bit signed integer.

    `"uint8"'
          8-bit unsigned integer.

    `"uint16"'
          16-bit unsigned integer.

    `"uint32"'
          32-bit unsigned integer.

    `"uint64"'
          64-bit unsigned integer.

    `"single"'
    `"float32"'
    `"real*4"'
          32-bit floating point number.

    `"double"'
    `"float64"'
    `"real*8"'
          64-bit floating point number.

    `"char"'
    `"char*1"'
          Single character.

    `"short"'
          Short integer (size is platform dependent).

    `"int"'
          Integer (size is platform dependent).

    `"long"'
          Long integer (size is platform dependent).

    `"ushort"'
    `"unsigned short"'
          Unsigned short integer (size is platform dependent).

    `"uint"'
    `"unsigned int"'
          Unsigned integer (size is platform dependent).

    `"ulong"'
    `"unsigned long"'
          Unsigned long integer (size is platform dependent).

    `"float"'
          Single precision floating point number (size is platform dependent).

     The default precision is `"uchar"'.

     The PRECISION argument may also specify an optional repeat count.  For example, `32*single' causes `fread' to read a block of 32 single precision floating point numbers.  Reading in blocks is useful in combination with the SKIP argument.

     The PRECISION argument may also specify a type conversion.  For example, `int16=>int32' causes `fread' to read 16-bit integer values and return an array of 32-bit integer values.  By default, `fread' returns a double precision array.  The special form `*TYPE' is shorthand for `TYPE=>TYPE'.

     The conversion and repeat counts may be combined.  For example, the specification `32*single=>single' causes `fread' to read blocks of single precision floating point values and return an array of single precision values instead of the default array of double precision values.

     The optional argument SKIP specifies the number of bytes to skip after each element (or block of elements) is read.  If it is not specified, a value of 0 is assumed.  If the final block read is not complete, the final skip is omitted.  For example,

          fread (f, 10, "3*single=>single", 8)

     will omit the final 8-byte skip because the last read will not be a complete block of 3 values.

     The optional argument ARCH is a string specifying the data format for the file.  Valid values are

    `"native"'
          The format of the current machine.

    `"ieee-be"'
          IEEE big endian.

    `"ieee-le"'
          IEEE little endian.

    `"vaxd"'
          VAX D floating format.

    `"vaxg"'
          VAX G floating format.

    `"cray"'
          Cray floating format.

     Conversions are currently only supported for `"ieee-be"' and `"ieee-le"' formats.

     The data read from the file is returned in VAL, and the number of values read is returned in `count' See also: fwrite, fopen, fclose.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 66
Read binary data of type PRECISION from the specified file ID FID.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
fwrite
# name: <cell-element>
# type: string
# elements: 1
# length: 615
 -- Built-in Function: COUNT = fwrite (FID, DATA, PRECISION, SKIP, ARCH)
     Write data in binary form of type PRECISION to the specified file ID FID, returning the number of values successfully written to the file.

     The argument DATA is a matrix of values that are to be written to the file.  The values are extracted in column-major order.

     The remaining arguments PRECISION, SKIP, and ARCH are optional, and are interpreted as described for `fread'.

     The behavior of `fwrite' is undefined if the values in DATA are too large to fit in the specified precision.  See also: fread, fopen, fclose.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 138
Write data in binary form of type PRECISION to the specified file ID FID, returning the number of values successfully written to the file.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
feof
# name: <cell-element>
# type: string
# elements: 1
# length: 326
 -- Built-in Function:  feof (FID)
     Return 1 if an end-of-file condition has been encountered for a given file and 0 otherwise.  Note that it will only return 1 if the end of the file has already been encountered, not if the next read operation will result in an end-of-file condition.  See also: fread, fopen, fclose.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 91
Return 1 if an end-of-file condition has been encountered for a given file and 0 otherwise.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
ferror
# name: <cell-element>
# type: string
# elements: 1
# length: 267
 -- Built-in Function:  ferror (FID)
     Return 1 if an error condition has been encountered for a given file and 0 otherwise.  Note that it will only return 1 if an error has already been encountered, not if the next operation will result in an error condition.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 85
Return 1 if an error condition has been encountered for a given file and 0 otherwise.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
popen
# name: <cell-element>
# type: string
# elements: 1
# length: 853
 -- Built-in Function: FID = popen (COMMAND, MODE)
     Start a process and create a pipe.  The name of the command to run is given by COMMAND.  The file identifier corresponding to the input or output stream of the process is returned in FID.  The argument MODE may be

    `"r"'
          The pipe will be connected to the standard output of the process, and open for reading.

    `"w"'
          The pipe will be connected to the standard input of the process, and open for writing.

     For example,

          fid = popen ("ls -ltr / | tail -3", "r");
          while (ischar (s = fgets (fid)))
            fputs (stdout, s);
          endwhile
               -| drwxr-xr-x  33 root  root  3072 Feb 15 13:28 etc
               -| drwxr-xr-x   3 root  root  1024 Feb 15 13:28 lib
               -| drwxrwxrwt  15 root  root  2048 Feb 17 14:53 tmp

# name: <cell-element>
# type: string
# elements: 1
# length: 34
Start a process and create a pipe.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
pclose
# name: <cell-element>
# type: string
# elements: 1
# length: 146
 -- Built-in Function:  pclose (FID)
     Close a file identifier that was opened by `popen'.  You may also use `fclose' for the same purpose.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 51
Close a file identifier that was opened by `popen'.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
tmpnam
# name: <cell-element>
# type: string
# elements: 1
# length: 541
 -- Built-in Function:  tmpnam (DIR, PREFIX)
     Return a unique temporary file name as a string.

     If PREFIX is omitted, a value of `"oct-"' is used.  If DIR is also omitted, the default directory for temporary files is used.  If DIR is provided, it must exist, otherwise the default directory for temporary files is used.  Since the named file is not opened, by `tmpnam', it is possible (though relatively unlikely) that it will not be available by the time your program attempts to open it.  See also: tmpfile, mkstemp, P_tmpdir.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 48
Return a unique temporary file name as a string.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
tmpfile
# name: <cell-element>
# type: string
# elements: 1
# length: 452
 -- Built-in Function: [FID, MSG] = tmpfile ()
     Return the file ID corresponding to a new temporary file with a unique name.  The file is opened in binary read/write (`"w+b"') mode.  The file will be deleted automatically when it is closed or when Octave exits.

     If successful, FID is a valid file ID and MSG is an empty string.  Otherwise, FID is -1 and MSG contains a system-dependent error message.  See also: tmpnam, mkstemp, P_tmpdir.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 76
Return the file ID corresponding to a new temporary file with a unique name.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
mkstemp
# name: <cell-element>
# type: string
# elements: 1
# length: 925
 -- Built-in Function: [FID, NAME, MSG] = mkstemp (TEMPLATE, DELETE)
     Return the file ID corresponding to a new temporary file with a unique name created from TEMPLATE.  The last six characters of TEMPLATE must be `XXXXXX' and these are replaced with a string that makes the filename unique.  The file is then created with mode read/write and permissions that are system dependent (on GNU/Linux systems, the permissions will be 0600 for versions of glibc 2.0.7 and later).  The file is opened with the `O_EXCL' flag.

     If the optional argument DELETE is supplied and is true, the file will be deleted automatically when Octave exits, or when the function `purge_tmp_files' is called.

     If successful, FID is a valid file ID, NAME is the name of the file, and MSG is an empty string.  Otherwise, FID is -1, NAME is empty, and MSG contains a system-dependent error message.  See also: tmpfile, tmpnam, P_tmpdir.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 98
Return the file ID corresponding to a new temporary file with a unique name created from TEMPLATE.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
umask
# name: <cell-element>
# type: string
# elements: 1
# length: 303
 -- Built-in Function:  umask (MASK)
     Set the permission mask for file creation.  The parameter MASK is an integer, interpreted as an octal number.  If successful, returns the previous value of the mask (as an integer to be interpreted as an octal number); otherwise an error message is printed.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 42
Set the permission mask for file creation.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
P_tmpdir
# name: <cell-element>
# type: string
# elements: 1
# length: 170
 -- Built-in Function:  P_tmpdir ()
     Return the default name of the directory for temporary files on this system.  The name of this directory is system dependent.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 76
Return the default name of the directory for temporary files on this system.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
SEEK_SET
# name: <cell-element>
# type: string
# elements: 1
# length: 402
 -- Built-in Function:  SEEK_SET ()
 -- Built-in Function:  SEEK_CUR ()
 -- Built-in Function:  SEEK_END ()
     Return the value required to request that `fseek' perform one of the following actions:
    `SEEK_SET'
          Position file relative to the beginning.

    `SEEK_CUR'
          Position file relative to the current position.

    `SEEK_END'
          Position file relative to the end.

# name: <cell-element>
# type: string
# elements: 1
# length: 141
Return the value required to request that `fseek' perform one of the following actions:  `SEEK_SET'  Position file relative to the beginning.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
SEEK_CUR
# name: <cell-element>
# type: string
# elements: 1
# length: 58
 -- Built-in Function:  SEEK_CUR ()
     See SEEK_SET.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 13
See SEEK_SET.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
SEEK_END
# name: <cell-element>
# type: string
# elements: 1
# length: 58
 -- Built-in Function:  SEEK_END ()
     See SEEK_SET.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 13
See SEEK_SET.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
stdin
# name: <cell-element>
# type: string
# elements: 1
# length: 234
 -- Built-in Function:  stdin ()
     Return the numeric value corresponding to the standard input stream.  When Octave is used interactively, this is filtered through the command line editing functions.  See also: stdout, stderr.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 68
Return the numeric value corresponding to the standard input stream.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
stdout
# name: <cell-element>
# type: string
# elements: 1
# length: 215
 -- Built-in Function:  stdout ()
     Return the numeric value corresponding to the standard output stream.  Data written to the standard output is normally filtered through the pager.  See also: stdin, stderr.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 69
Return the numeric value corresponding to the standard output stream.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
stderr
# name: <cell-element>
# type: string
# elements: 1
# length: 258
 -- Built-in Function:  stderr ()
     Return the numeric value corresponding to the standard error stream.  Even if paging is turned on, the standard error is not sent to the pager.  It is useful for error messages and prompts.  See also: stdin, stdout.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 68
Return the numeric value corresponding to the standard error stream.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
filter
# name: <cell-element>
# type: string
# elements: 1
# length: 1530
 -- Loadable Function: y = filter (B, A, X)
 -- Loadable Function: [Y, SF] = filter (B, A, X, SI)
 -- Loadable Function: [Y, SF] = filter (B, A, X, [], DIM)
 -- Loadable Function: [Y, SF] = filter (B, A, X, SI, DIM)
     Return the solution to the following linear, time-invariant difference equation:

             N                   M
            SUM a(k+1) y(n-k) = SUM b(k+1) x(n-k)      for 1<=n<=length(x)
            k=0                 k=0

     where  N=length(a)-1 and M=length(b)-1.  over the first non-singleton dimension of X or over DIM if supplied.  An equivalent form of this equation is:

                      N                   M
            y(n) = - SUM c(k+1) y(n-k) + SUM d(k+1) x(n-k)  for 1<=n<=length(x)
                     k=1                 k=0

     where  c = a/a(1) and d = b/a(1).

     If the fourth argument SI is provided, it is taken as the initial state of the system and the final state is returned as SF.  The state vector is a column vector whose length is equal to the length of the longest coefficient vector minus one.  If SI is not supplied, the initial state vector is set to all zeros.

     In terms of the z-transform, y is the result of passing the discrete- time signal x through a system characterized by the following rational system function:

                       M
                      SUM d(k+1) z^(-k)
                      k=0
            H(z) = ----------------------
                         N
                    1 + SUM c(k+1) z^(-k)
                        k=1

# name: <cell-element>
# type: string
# elements: 1
# length: 81
Return the solution to the following linear, time-invariant difference equation: 

# name: <cell-element>
# type: string
# elements: 1
# length: 4
find
# name: <cell-element>
# type: string
# elements: 1
# length: 1566
 -- Loadable Function:  find (X)
 -- Loadable Function:  find (X, N)
 -- Loadable Function:  find (X, N, DIRECTION)
     Return a vector of indices of nonzero elements of a matrix, as a row if X is a row or as a column otherwise.  To obtain a single index for each matrix element, Octave pretends that the columns of a matrix form one long vector (like Fortran arrays are stored).  For example,

          find (eye (2))
               => [ 1; 4 ]

     If two outputs are requested, `find' returns the row and column indices of nonzero elements of a matrix.  For example,

          [i, j] = find (2 * eye (2))
               => i = [ 1; 2 ]
               => j = [ 1; 2 ]

     If three outputs are requested, `find' also returns a vector containing the nonzero values.  For example,

          [i, j, v] = find (3 * eye (2))
               => i = [ 1; 2 ]
               => j = [ 1; 2 ]
               => v = [ 3; 3 ]

     If two inputs are given, N indicates the maximum number of elements to find from the beginning of the matrix or vector.

     If three inputs are given, DIRECTION should be one of "first" or "last", requesting only the first or last N indices, respectively.  However, the indices are always returned in ascending order.

     Note that this function is particularly useful for sparse matrices, as it extracts the non-zero elements as vectors, which can then be used to create the original matrix.  For example,

          sz = size(a);
          [i, j, v] = find (a);
          b = sparse(i, j, v, sz(1), sz(2));
     See also: sparse.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 108
Return a vector of indices of nonzero elements of a matrix, as a row if X is a row or as a column otherwise.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
gammainc
# name: <cell-element>
# type: string
# elements: 1
# length: 699
 -- Mapping Function:  gammainc (X, A)
     Compute the normalized incomplete gamma function,

                                          x
                                1        /
          gammainc (x, a) = ---------    | exp (-t) t^(a-1) dt
                            gamma (a)    /
                                      t=0

     with the limiting value of 1 as X approaches infinity.  The standard notation is P(a,x), e.g., Abramowitz and Stegun (6.5.1).

     If A is scalar, then `gammainc (X, A)' is returned for each element of X and vice versa.

     If neither X nor A is scalar, the sizes of X and A must agree, and GAMMAINC is applied element-by-element.  See also: gamma, lgamma.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 50
Compute the normalized incomplete gamma function, 

# name: <cell-element>
# type: string
# elements: 1
# length: 3
gcd
# name: <cell-element>
# type: string
# elements: 1
# length: 864
 -- Loadable Function: G = gcd (A)
 -- Loadable Function: G = gcd (A1, A2, ...)
 -- Loadable Function: [G, V1, ...] = gcd (A1, A2, ...)
     Compute the greatest common divisor of the elements of A.  If more than one argument is given all arguments must be the same size or scalar.    In this case the greatest common divisor is calculated for each element individually.  All elements must be integers.  For example,

          gcd ([15, 20])
              =>  5

     and

          gcd ([15, 9], [20, 18])
              =>  5  9

     Optional return arguments V1, etc., contain integer vectors such that,

          G = V1 .* A1 + V2 .* A2 + ...

     For backward compatibility with previous versions of this function, when all arguments are scalar, a single return argument V1 containing all of the values of V1, ... is acceptable.  See also: lcm, factor.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 57
Compute the greatest common divisor of the elements of A.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
getgrent
# name: <cell-element>
# type: string
# elements: 1
# length: 188
 -- Loadable Function: GRP_STRUCT = getgrent ()
     Return an entry from the group database, opening it if necessary.  Once the end of the data has been reached, `getgrent' returns 0.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 65
Return an entry from the group database, opening it if necessary.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
getgrgid
# name: <cell-element>
# type: string
# elements: 1
# length: 201
 -- Loadable Function: GRP_STRUCT = getgrgid (GID).
     Return the first entry from the group database with the group ID GID.  If the group ID does not exist in the database, `getgrgid' returns 0.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 69
Return the first entry from the group database with the group ID GID.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
getgrnam
# name: <cell-element>
# type: string
# elements: 1
# length: 206
 -- Loadable Function: GRP_STRUCT = getgrnam (NAME)
     Return the first entry from the group database with the group name NAME.  If the group name does not exist in the database, `getgrnam' returns 0.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 72
Return the first entry from the group database with the group name NAME.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
setgrent
# name: <cell-element>
# type: string
# elements: 1
# length: 112
 -- Loadable Function:  setgrent ()
     Return the internal pointer to the beginning of the group database.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 67
Return the internal pointer to the beginning of the group database.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
endgrent
# name: <cell-element>
# type: string
# elements: 1
# length: 70
 -- Loadable Function:  endgrent ()
     Close the group database.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 25
Close the group database.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
getpwent
# name: <cell-element>
# type: string
# elements: 1
# length: 213
 -- Loadable Function: PW_STRUCT = getpwent ()
     Return a structure containing an entry from the password database, opening it if necessary.  Once the end of the data has been reached, `getpwent' returns 0.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 91
Return a structure containing an entry from the password database, opening it if necessary.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
getpwuid
# name: <cell-element>
# type: string
# elements: 1
# length: 224
 -- Loadable Function: PW_STRUCT = getpwuid (UID).
     Return a structure containing the first entry from the password database with the user ID UID.  If the user ID does not exist in the database, `getpwuid' returns 0.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 94
Return a structure containing the first entry from the password database with the user ID UID.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
getpwnam
# name: <cell-element>
# type: string
# elements: 1
# length: 230
 -- Loadable Function: PW_STRUCT = getpwnam (NAME)
     Return a structure containing the first entry from the password database with the user name NAME.  If the user name does not exist in the database, `getpwname' returns 0.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 97
Return a structure containing the first entry from the password database with the user name NAME.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
setpwent
# name: <cell-element>
# type: string
# elements: 1
# length: 115
 -- Loadable Function:  setpwent ()
     Return the internal pointer to the beginning of the password database.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 70
Return the internal pointer to the beginning of the password database.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
endpwent
# name: <cell-element>
# type: string
# elements: 1
# length: 73
 -- Loadable Function:  endpwent ()
     Close the password database.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 28
Close the password database.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
getrusage
# name: <cell-element>
# type: string
# elements: 1
# length: 1411
 -- Loadable Function:  getrusage ()
     Return a structure containing a number of statistics about the current Octave process.  Not all fields are available on all systems.  If it is not possible to get CPU time statistics, the CPU time slots are set to zero.  Other missing data are replaced by NaN.  Here is a list of all the possible fields that can be present in the structure returned by `getrusage':

    `idrss'
          Unshared data size.

    `inblock'
          Number of block input operations.

    `isrss'
          Unshared stack size.

    `ixrss'
          Shared memory size.

    `majflt'
          Number of major page faults.

    `maxrss'
          Maximum data size.

    `minflt'
          Number of minor page faults.

    `msgrcv'
          Number of messages received.

    `msgsnd'
          Number of messages sent.

    `nivcsw'
          Number of involuntary context switches.

    `nsignals'
          Number of signals received.

    `nswap'
          Number of swaps.

    `nvcsw'
          Number of voluntary context switches.

    `oublock'
          Number of block output operations.

    `stime'
          A structure containing the system CPU time used.  The structure has the elements `sec' (seconds) `usec' (microseconds).

    `utime'
          A structure containing the user CPU time used.  The structure has the elements `sec' (seconds) `usec' (microseconds).

# name: <cell-element>
# type: string
# elements: 1
# length: 86
Return a structure containing a number of statistics about the current Octave process.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
givens
# name: <cell-element>
# type: string
# elements: 1
# length: 317
 -- Loadable Function: G = givens (X, Y)
 -- Loadable Function: [C, S] = givens (X, Y)
     Return a 2 by 2 orthogonal matrix `G = [C S; -S' C]' such that `G [X; Y] = [*; 0]' with X and Y scalars.

     For example,

          givens (1, 1)
               =>   0.70711   0.70711
                   -0.70711   0.70711

# name: <cell-element>
# type: string
# elements: 1
# length: 104
Return a 2 by 2 orthogonal matrix `G = [C S; -S' C]' such that `G [X; Y] = [*; 0]' with X and Y scalars.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
ishandle
# name: <cell-element>
# type: string
# elements: 1
# length: 104
 -- Built-in Function:  ishandle (H)
     Return true if H is a graphics handle and false otherwise.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 58
Return true if H is a graphics handle and false otherwise.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
set
# name: <cell-element>
# type: string
# elements: 1
# length: 134
 -- Built-in Function:  set (H, P, V, ...)
     Set the named property value or vector P to the value V for the graphics handle H.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 82
Set the named property value or vector P to the value V for the graphics handle H.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
get
# name: <cell-element>
# type: string
# elements: 1
# length: 250
 -- Built-in Function:  get (H, P)
     Return the named property P from the graphics handle H.  If P is omitted, return the complete property list for H.  If H is a vector, return a cell array including the property values or lists respectively.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 55
Return the named property P from the graphics handle H.

# name: <cell-element>
# type: string
# elements: 1
# length: 18
available_backends
# name: <cell-element>
# type: string
# elements: 1
# length: 107
 -- Built-in Function:  available_backends ()
     Return a cell array of registered graphics backends.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 52
Return a cell array of registered graphics backends.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
drawnow
# name: <cell-element>
# type: string
# elements: 1
# length: 457
 -- Built-in Function:  drawnow ()
 -- Built-in Function:  drawnow ("expose")
 -- Built-in Function:  drawnow (TERM, FILE, MONO, DEBUG_FILE)
     Update figure windows and their children.  The event queue is flushed and any callbacks generated are executed.  With the optional argument `"expose"', only graphic objects are updated and no other events or callbacks are processed.  The third calling form of `drawnow' is for debugging and is undocumented.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 41
Update figure windows and their children.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
addlistener
# name: <cell-element>
# type: string
# elements: 1
# length: 1093
 -- Built-in Function:  addlistener (H, PROP, FCN)
     Register FCN as listener for the property PROP of the graphics object H.  Property listeners are executed (in order of registration) when the property is set.  The new value is already available when the listeners are executed.

     PROP must be a string naming a valid property in H.

     FCN can be a function handle, a string or a cell array whose first element is a function handle.  If FCN is a function handle, the corresponding function should accept at least 2 arguments, that will be set to the object handle and the empty matrix respectively.  If FCN is a string, it must be any valid octave expression.  If FCN is a cell array, the first element must be a function handle with the same signature as described above.  The next elements of the cell array are passed as additional arguments to the function.

     Example:

          function my_listener (h, dummy, p1)
            fprintf ("my_listener called with p1=%s\n", p1);
          endfunction

          addlistener (gcf, "position", {@my_listener, "my string"})

   
# name: <cell-element>
# type: string
# elements: 1
# length: 72
Register FCN as listener for the property PROP of the graphics object H.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
dellistener
# name: <cell-element>
# type: string
# elements: 1
# length: 631
 -- Built-in Function:  dellistener (H, PROP, FCN)
     Remove the registration of FCN as a listener for the property PROP of the graphics object H.  The function FCN must be the same variable (not just the same value), as was passed to the original call to `addlistener'.

     If FCN is not defined then all listener functions of PROP are removed.

     Example:

          function my_listener (h, dummy, p1)
            fprintf ("my_listener called with p1=%s\n", p1);
          endfunction

          c = {@my_listener, "my string"};
          addlistener (gcf, "position", c);
          dellistener (gcf, "position", c);

   
# name: <cell-element>
# type: string
# elements: 1
# length: 92
Remove the registration of FCN as a listener for the property PROP of the graphics object H.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
addproperty
# name: <cell-element>
# type: string
# elements: 1
# length: 2346
 -- Built-in Function:  addproperty (NAME, H, TYPE, [ARG, ...])
     Create a new property named NAME in graphics object H.  TYPE determines the type of the property to create.  ARGS usually contains the default value of the property, but additional arguments might be given, depending on the type of the property.

     The supported property types are:

    `string'
          A string property.  ARG contains the default string value.

    `any'
          An un-typed property.  This kind of property can hold any octave value.  ARGS contains the default value.

    `radio'
          A string property with a limited set of accepted values.  The first argument must be a string with all accepted values separated by a vertical bar ('|').  The default value can be marked by enclosing it with a '{' '}' pair.  The default value may also be given as an optional second string argument.

    `boolean'
          A boolean property.  This property type is equivalent to a radio property with "on|off" as accepted values.  ARG contains the default property value.

    `double'
          A scalar double property.  ARG contains the default value.

    `handle'
          A handle property.  This kind of property holds the handle of a graphics object.  ARG contains the default handle value.  When no default value is given, the property is initialized to the empty matrix.

    `data'
          A data (matrix) property.  ARG contains the default data value.  When no default value is given, the data is initialized to the empty matrix.

    `color'
          A color property.  ARG contains the default color value.  When no default color is given, the property is set to black.  An optional second string argument may be given to specify an additional set of accepted string values (like a radio property).

     TYPE may also be the concatenation of a core object type and a valid property name for that object type.  The property created then has the same characteristics as the referenced property (type, possible values, hidden state...).  This allows to clone an existing property into the graphics object H.

     Examples:

          addproperty ("my_property", gcf, "string", "a string value");
          addproperty ("my_radio", gcf, "radio", "val_1|val_2|{val_3}");
          addproperty ("my_style", gcf, "linelinestyle", "--");

   
# name: <cell-element>
# type: string
# elements: 1
# length: 54
Create a new property named NAME in graphics object H.

# name: <cell-element>
# type: string
# elements: 1
# length: 13
get_help_text
# name: <cell-element>
# type: string
# elements: 1
# length: 419
 -- Loadable Function: [TEXT, FORMAT] = get_help_text (NAME)
     Returns the help text of a given function.

     This function returns the raw help text TEXT and an indication of its format for the function NAME.  The format indication FORMAT is a string that can be either "texinfo", "html", or "plain text".

     To convert the help text to other formats, use the `makeinfo' function.

     See also: makeinfo.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 42
Returns the help text of a given function.

# name: <cell-element>
# type: string
# elements: 1
# length: 14
doc_cache_file
# name: <cell-element>
# type: string
# elements: 1
# length: 683
 -- Built-in Function: VAL = doc_cache_file ()
 -- Built-in Function: OLD_VAL = doc_cache_file (NEW_VAL)
     Query or set the internal variable that specifies the name of the Octave documentation cache file.  A cache file significantly improves the performance of the `lookfor' command.  The default value is `OCTAVE-HOME/share/octave/VERSION/etc/doc-cache', in which OCTAVE-HOME is the root directory of the Octave installation, and VERSION is the Octave version number.  The default value may be overridden by the environment variable `OCTAVE_DOC_CACHE_FILE', or the command line argument `--doc-cache-file NAME'.  See also: lookfor, info_program, doc, help, makeinfo_program.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 98
Query or set the internal variable that specifies the name of the Octave documentation cache file.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
info_file
# name: <cell-element>
# type: string
# elements: 1
# length: 500
 -- Built-in Function: VAL = info_file ()
 -- Built-in Function: OLD_VAL = info_file (NEW_VAL)
     Query or set the internal variable that specifies the name of the Octave info file.  The default value is `OCTAVE-HOME/info/octave.info', in which OCTAVE-HOME is the root directory of the Octave installation.  The default value may be overridden by the environment variable `OCTAVE_INFO_FILE', or the command line argument `--info-file NAME'.  See also: info_program, doc, help, makeinfo_program.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 83
Query or set the internal variable that specifies the name of the Octave info file.

# name: <cell-element>
# type: string
# elements: 1
# length: 12
info_program
# name: <cell-element>
# type: string
# elements: 1
# length: 634
 -- Built-in Function: VAL = info_program ()
 -- Built-in Function: OLD_VAL = info_program (NEW_VAL)
     Query or set the internal variable that specifies the name of the info program to run.  The default value is `OCTAVE-HOME/libexec/octave/VERSION/exec/ARCH/info' in which OCTAVE-HOME is the root directory of the Octave installation, VERSION is the Octave version number, and ARCH is the system type (for example, `i686-pc-linux-gnu').  The default value may be overridden by the environment variable `OCTAVE_INFO_PROGRAM', or the command line argument `--info-program NAME'.  See also: info_file, doc, help, makeinfo_program.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 86
Query or set the internal variable that specifies the name of the info program to run.

# name: <cell-element>
# type: string
# elements: 1
# length: 16
makeinfo_program
# name: <cell-element>
# type: string
# elements: 1
# length: 345
 -- Built-in Function: VAL = makeinfo_program ()
 -- Built-in Function: OLD_VAL = makeinfo_program (NEW_VAL)
     Query or set the internal variable that specifies the name of the program that Octave runs to format help text containing Texinfo markup commands.  The default value is `makeinfo'.  See also: info_file, info_program, doc, help.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 146
Query or set the internal variable that specifies the name of the program that Octave runs to format help text containing Texinfo markup commands.

# name: <cell-element>
# type: string
# elements: 1
# length: 29
suppress_verbose_help_message
# name: <cell-element>
# type: string
# elements: 1
# length: 335
 -- Built-in Function: VAL = suppress_verbose_help_message ()
 -- Built-in Function: OLD_VAL = suppress_verbose_help_message (NEW_VAL)
     Query or set the internal variable that controls whether Octave will add additional help information to the end of the output from the `help' command and usage messages for built-in commands.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 191
Query or set the internal variable that controls whether Octave will add additional help information to the end of the output from the `help' command and usage messages for built-in commands.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
hess
# name: <cell-element>
# type: string
# elements: 1
# length: 551
 -- Loadable Function: H = hess (A)
 -- Loadable Function: [P, H] = hess (A)
     Compute the Hessenberg decomposition of the matrix A.

     The Hessenberg decomposition is usually used as the first step in an eigenvalue computation, but has other applications as well (see Golub, Nash, and Van Loan, IEEE Transactions on Automatic Control, 1979).  The Hessenberg decomposition is `p * h * p' = a' where `p' is a square unitary matrix (`p' * p = I', using complex-conjugate transposition) and `h' is upper Hessenberg (`i >= j+1 => h (i, j) = 0').
   
# name: <cell-element>
# type: string
# elements: 1
# length: 53
Compute the Hessenberg decomposition of the matrix A.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
hex2num
# name: <cell-element>
# type: string
# elements: 1
# length: 441
 -- Loadable Function: N = hex2num (S)
     Typecast the 16 character hexadecimal character matrix to an IEEE 754 double precision number.  If fewer than 16 characters are given the strings are right padded with '0' characters.

     Given a string matrix, `hex2num' treats each row as a separate number.

          hex2num (["4005bf0a8b145769";"4024000000000000"])
          => [2.7183; 10.000]
     See also: num2hex, hex2dec, dec2hex.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 94
Typecast the 16 character hexadecimal character matrix to an IEEE 754 double precision number.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
num2hex
# name: <cell-element>
# type: string
# elements: 1
# length: 464
 -- Loadable Function: S = num2hex (N)
     Typecast a double precision number or vector to a 16 character hexadecimal string of the IEEE 754 representation of the number.  For example

          num2hex ([-1, 1, e, Inf, NaN, NA]);
          => "bff0000000000000
              3ff0000000000000
              4005bf0a8b145769
              7ff0000000000000
              fff8000000000000
              7ff00000000007a2"
     See also: hex2num, hex2dec, dec2hex.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 127
Typecast a double precision number or vector to a 16 character hexadecimal string of the IEEE 754 representation of the number.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
input
# name: <cell-element>
# type: string
# elements: 1
# length: 1082
 -- Built-in Function:  input (PROMPT)
 -- Built-in Function:  input (PROMPT, "s")
     Print a prompt and wait for user input.  For example,

          input ("Pick a number, any number! ")

     prints the prompt

          Pick a number, any number!

     and waits for the user to enter a value.  The string entered by the user is evaluated as an expression, so it may be a literal constant, a variable name, or any other valid expression.

     Currently, `input' only returns one value, regardless of the number of values produced by the evaluation of the expression.

     If you are only interested in getting a literal string value, you can call `input' with the character string `"s"' as the second argument.  This tells Octave to return the string entered by the user directly, without evaluating it first.

     Because there may be output waiting to be displayed by the pager, it is a good idea to always call `fflush (stdout)' before calling `input'.  This will ensure that all pending output is written to the screen before your prompt.  *Note Input and Output::.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 39
Print a prompt and wait for user input.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
yes_or_no
# name: <cell-element>
# type: string
# elements: 1
# length: 347
 -- Built-in Function:  yes_or_no (PROMPT)
     Ask the user a yes-or-no question.  Return 1 if the answer is yes.  Takes one argument, which is the string to display to ask the question.  It should end in a space; `yes-or-no-p' adds `(yes or no) ' to it.  The user must confirm the answer with RET and can edit it until it has been confirmed.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
Ask the user a yes-or-no question.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
keyboard
# name: <cell-element>
# type: string
# elements: 1
# length: 667
 -- Built-in Function:  keyboard ()
 -- Built-in Function:  keyboard (PROMPT)
     This function is normally used for simple debugging.  When the `keyboard' function is executed, Octave prints a prompt and waits for user input.  The input strings are then evaluated and the results are printed.  This makes it possible to examine the values of variables within a function, and to assign new values if necessary.  To leave the prompt and return to normal execution type `return' or `dbcont'.  The `keyboard' function does not return an exit status.

     If `keyboard' is invoked without arguments, a default prompt of `debug> ' is used.  See also: dbcont, dbquit.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 52
This function is normally used for simple debugging.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
echo
# name: <cell-element>
# type: string
# elements: 1
# length: 559
 -- Command: echo options
     Control whether commands are displayed as they are executed.  Valid options are:

    `on'
          Enable echoing of commands as they are executed in script files.

    `off'
          Disable echoing of commands as they are executed in script files.

    `on all'
          Enable echoing of commands as they are executed in script files and functions.

    `off all'
          Disable echoing of commands as they are executed in script files and functions.

     With no arguments, `echo' toggles the current echo state.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 60
Control whether commands are displayed as they are executed.

# name: <cell-element>
# type: string
# elements: 1
# length: 18
completion_matches
# name: <cell-element>
# type: string
# elements: 1
# length: 338
 -- Built-in Function:  completion_matches (HINT)
     Generate possible completions given HINT.

     This function is provided for the benefit of programs like Emacs which might be controlling Octave and handling user input.  The current command number is not incremented when this function is called.  This is a feature, not a bug.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 41
Generate possible completions given HINT.

# name: <cell-element>
# type: string
# elements: 1
# length: 23
read_readline_init_file
# name: <cell-element>
# type: string
# elements: 1
# length: 273
 -- Built-in Function:  read_readline_init_file (FILE)
     Read the readline library initialization file FILE.  If FILE is omitted, read the default initialization file (normally `~/.inputrc').

     *Note Readline Init File: (readline)Readline Init File, for details.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 51
Read the readline library initialization file FILE.

# name: <cell-element>
# type: string
# elements: 1
# length: 26
re_read_readline_init_file
# name: <cell-element>
# type: string
# elements: 1
# length: 201
 -- Built-in Function:  re_read_readline_init_file ()
     Re-read the last readline library initialization file that was read.  *Note Readline Init File: (readline)Readline Init File, for details.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 68
Re-read the last readline library initialization file that was read.

# name: <cell-element>
# type: string
# elements: 1
# length: 20
add_input_event_hook
# name: <cell-element>
# type: string
# elements: 1
# length: 339
 -- Built-in Function:  add_input_event_hook (FCN, DATA)
     Add the named function FCN to the list of functions to call periodically when Octave is waiting for input.  The function should have the form
          FCN (DATA)

     If DATA is omitted, Octave calls the function without any arguments.  See also: remove_input_event_hook.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 106
Add the named function FCN to the list of functions to call periodically when Octave is waiting for input.

# name: <cell-element>
# type: string
# elements: 1
# length: 23
remove_input_event_hook
# name: <cell-element>
# type: string
# elements: 1
# length: 205
 -- Built-in Function:  remove_input_event_hook (FCN)
     Remove the named function FCN to the list of functions to call periodically when Octave is waiting for input.  See also: add_input_event_hook.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 109
Remove the named function FCN to the list of functions to call periodically when Octave is waiting for input.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
PS1
# name: <cell-element>
# type: string
# elements: 1
# length: 632
 -- Built-in Function: VAL = PS1 ()
 -- Built-in Function: OLD_VAL = PS1 (NEW_VAL)
     Query or set the primary prompt string.  When executing interactively, Octave displays the primary prompt when it is ready to read a command.

     The default value of the primary prompt string is `"\s:\#> "'.  To change it, use a command like

          octave:13> PS1 ("\\u@\\H> ")

     which will result in the prompt `boris@kremvax> ' for the user `boris' logged in on the host `kremvax.kgb.su'.  Note that two backslashes are required to enter a backslash into a double-quoted character string.  *Note Strings::.  See also: PS2, PS4.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 39
Query or set the primary prompt string.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
PS2
# name: <cell-element>
# type: string
# elements: 1
# length: 470
 -- Built-in Function: VAL = PS2 ()
 -- Built-in Function: OLD_VAL = PS2 (NEW_VAL)
     Query or set the secondary prompt string.  The secondary prompt is printed when Octave is expecting additional input to complete a command.  For example, if you are typing a `for' loop that spans several lines, Octave will print the secondary prompt at the beginning of each line after the first.  The default value of the secondary prompt string is `"> "'.  See also: PS1, PS4.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 41
Query or set the secondary prompt string.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
PS4
# name: <cell-element>
# type: string
# elements: 1
# length: 345
 -- Built-in Function: VAL = PS4 ()
 -- Built-in Function: OLD_VAL = PS4 (NEW_VAL)
     Query or set the character string used to prefix output produced when echoing commands is enabled.  The default value is `"+ "'.  *Note Diary and Echo Commands::, for a description of echoing commands.  See also: echo, echo_executing_commands, PS1, PS2.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 98
Query or set the character string used to prefix output produced when echoing commands is enabled.

# name: <cell-element>
# type: string
# elements: 1
# length: 22
completion_append_char
# name: <cell-element>
# type: string
# elements: 1
# length: 285
 -- Built-in Function: VAL = completion_append_char ()
 -- Built-in Function: OLD_VAL = completion_append_char (NEW_VAL)
     Query or set the internal character variable that is appended to successful command-line completion attempts.  The default value is `" "' (a single space).
   
# name: <cell-element>
# type: string
# elements: 1
# length: 109
Query or set the internal character variable that is appended to successful command-line completion attempts.

# name: <cell-element>
# type: string
# elements: 1
# length: 23
echo_executing_commands
# name: <cell-element>
# type: string
# elements: 1
# length: 641
 -- Built-in Function: VAL = echo_executing_commands ()
 -- Built-in Function: OLD_VAL = echo_executing_commands (NEW_VAL)
     Query or set the internal variable that controls the echo state.  It may be the sum of the following values:

    1
          Echo commands read from script files.

    2
          Echo commands from functions.

    4
          Echo commands read from command line.

     More than one state can be active at once.  For example, a value of 3 is equivalent to the command `echo on all'.

     The value of `echo_executing_commands' may be set by the `echo' command or the command line option `--echo-commands'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 64
Query or set the internal variable that controls the echo state.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
filemarker
# name: <cell-element>
# type: string
# elements: 1
# length: 655
 -- Built-in Function:  filemarker ()
     Returns or sets the character used to separate filename from the the subfunction names contained within the file.  This can be used in a generic manner to interact with subfunctions.  For example

          help (["myfunc", filemarker, "mysubfunc"])

     returns the help string associated with the sub-function `mysubfunc' of the function `myfunc'.  Another use of `filemarker' is when debugging it allows easier placement of breakpoints within sub-functions.  For example

          dbstop (["myfunc", filemarker, "mysubfunc"])

     will set a breakpoint at the first line of the subfunction `mysubfunc'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 113
Returns or sets the character used to separate filename from the the subfunction names contained within the file.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
inv
# name: <cell-element>
# type: string
# elements: 1
# length: 554
 -- Loadable Function: [X, RCOND] = inv (A)
 -- Loadable Function: [X, RCOND] = inverse (A)
     Compute the inverse of the square matrix A.  Return an estimate of the reciprocal condition number if requested, otherwise warn of an ill-conditioned matrix if the reciprocal condition number is small.

     If called with a sparse matrix, then in general X will be a full matrix, and so if possible forming the inverse of a sparse matrix should be avoided.  It is significantly more accurate and faster to do `Y = A \ B', rather than `Y = inv (A) * B'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 43
Compute the inverse of the square matrix A.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
inverse
# name: <cell-element>
# type: string
# elements: 1
# length: 53
 -- Loadable Function:  inverse (A)
     See inv.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 8
See inv.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
kron
# name: <cell-element>
# type: string
# elements: 1
# length: 285
 -- Loadable Function:  kron (A, B)
     Form the kronecker product of two matrices, defined block by block as

          x = [a(i, j) b]

     For example,

          kron (1:4, ones (3, 1))
                =>  1  2  3  4
                    1  2  3  4
                    1  2  3  4

# name: <cell-element>
# type: string
# elements: 1
# length: 70
Form the kronecker product of two matrices, defined block by block as 

# name: <cell-element>
# type: string
# elements: 1
# length: 9
iskeyword
# name: <cell-element>
# type: string
# elements: 1
# length: 139
 -- Built-in Function:  iskeyword (NAME)
     Return true if NAME is an Octave keyword.  If NAME is omitted, return a list of keywords.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 41
Return true if NAME is an Octave keyword.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
genpath
# name: <cell-element>
# type: string
# elements: 1
# length: 109
 -- Built-in Function:  genpath (DIR)
     Return a path constructed from DIR and all its subdirectories.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 62
Return a path constructed from DIR and all its subdirectories.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
rehash
# name: <cell-element>
# type: string
# elements: 1
# length: 91
 -- Built-in Function:  rehash ()
     Reinitialize Octave's load path directory cache.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 48
Reinitialize Octave's load path directory cache.

# name: <cell-element>
# type: string
# elements: 1
# length: 17
command_line_path
# name: <cell-element>
# type: string
# elements: 1
# length: 171
 -- Built-in Function:  command_line_path (...)
     Return the command line path variable.

     See also: path, addpath, rmpath, genpath, pathdef, savepath, pathsep.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 38
Return the command line path variable.

# name: <cell-element>
# type: string
# elements: 1
# length: 18
restoredefaultpath
# name: <cell-element>
# type: string
# elements: 1
# length: 189
 -- Built-in Function:  restoredefaultpath (...)
     Restore Octave's path to it's initial state at startup.

     See also: path, addpath, rmpath, genpath, pathdef, savepath, pathsep.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 55
Restore Octave's path to it's initial state at startup.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
path
# name: <cell-element>
# type: string
# elements: 1
# length: 549
 -- Built-in Function:  path (...)
     Modify or display Octave's load path.

     If NARGIN and NARGOUT are zero, display the elements of Octave's load path in an easy to read format.

     If NARGIN is zero and nargout is greater than zero, return the current load path.

     If NARGIN is greater than zero, concatenate the arguments, separating them with `pathsep()'.  Set the internal search path to the result and return it.

     No checks are made for duplicate elements.  See also: addpath, rmpath, genpath, pathdef, savepath, pathsep.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 37
Modify or display Octave's load path.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
addpath
# name: <cell-element>
# type: string
# elements: 1
# length: 429
 -- Built-in Function:  addpath (DIR1, ...)
 -- Built-in Function:  addpath (DIR1, ..., OPTION)
     Add DIR1, ... to the current function search path.  If OPTION is `"-begin"' or 0 (the default), prepend the directory name to the current path.  If OPTION is `"-end"' or 1, append the directory name to the current path.  Directories added to the path must exist.  See also: path, rmpath, genpath, pathdef, savepath, pathsep.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 11
Add DIR1, .

# name: <cell-element>
# type: string
# elements: 1
# length: 6
rmpath
# name: <cell-element>
# type: string
# elements: 1
# length: 175
 -- Built-in Function:  rmpath (DIR1, ...)
     Remove DIR1, ... from the current function search path.

     See also: path, addpath, genpath, pathdef, savepath, pathsep.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 14
Remove DIR1, .

# name: <cell-element>
# type: string
# elements: 1
# length: 4
load
# name: <cell-element>
# type: string
# elements: 1
# length: 3368
 -- Command: load file
 -- Command: load options file
 -- Command: load options file v1 v2 ...
 -- Command: S = load("options", "file", "v1", "v2", ...)
     Load the named variables V1, V2, ..., from the file FILE.  If no variables are specified then all variables found in the file will be loaded.  As with `save', the list of variables to extract can be full names or use a pattern syntax.  The format of the file is automatically detected but may be overridden by supplying the appropriate option.

     If load is invoked using the functional form

          load ("-option1", ..., "file", "v1", ...)

     then the OPTIONS, FILE, and variable name arguments (V1, ...) must be specified as character strings.

     If a variable that is not marked as global is loaded from a file when a global symbol with the same name already exists, it is loaded in the global symbol table.  Also, if a variable is marked as global in a file and a local symbol exists, the local symbol is moved to the global symbol table and given the value from the file.

     If invoked with a single output argument, Octave returns data instead of inserting variables in the symbol table.  If the data file contains only numbers (TAB- or space-delimited columns), a matrix of values is returned.  Otherwise, `load' returns a structure with members  corresponding to the names of the variables in the file.

     The `load' command can read data stored in Octave's text and binary formats, and MATLAB's binary format.  If compiled with zlib support, it can also load gzip-compressed files.  It will automatically detect the type of file and do conversion from different floating point formats (currently only IEEE big and little endian, though other formats may be added in the future).

     Valid options for `load' are listed in the following table.

    `-force'
          This option is accepted for backward compatibility but is ignored.  Octave now overwrites variables currently in memory with those of the same name found in the file.

    `-ascii'
          Force Octave to assume the file contains columns of numbers in text format without any header or other information.  Data in the file will be loaded as a single numeric matrix with the name of the variable derived from the name of the file.

    `-binary'
          Force Octave to assume the file is in Octave's binary format.

    `-hdf5'
          Force Octave to assume the file is in HDF5 format.  (HDF5 is a free, portable binary format developed by the National Center for Supercomputing Applications at the University of Illinois.)  Note that Octave can read HDF5 files not created by itself, but may skip some datasets in formats that it cannot support.

    `-import'
          This option is accepted for backward compatibility but is ignored.  Octave can now support multi-dimensional HDF data and automatically modifies variable names if they are invalid Octave identifiers.

    `-mat'
    `-mat-binary'
    `-6'
    `-v6'
    `-7'
    `-v7'
          Force Octave to assume the file is in MATLAB's version 6 or 7 binary format.

    `-mat4-binary'
    `-4'
    `-v4'
    `-V4'
          Force Octave to assume the file is in the binary format written by MATLAB version 4.

    `-text'
          Force Octave to assume the file is in Octave's text format.
     See also: save, dlmwrite, csvwrite, fwrite.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
Load the named variables V1, V2, .

# name: <cell-element>
# type: string
# elements: 1
# length: 4
save
# name: <cell-element>
# type: string
# elements: 1
# length: 3522
 -- Command: save file
 -- Command: save options file
 -- Command: save options file V1 V2 ...
 -- Command: save options file -struct STRUCT F1 F2 ...
     Save the named variables V1, V2, ..., in the file FILE.  The special filename `-' may be used to write output to the terminal.  If no variable names are listed, Octave saves all the variables in the current scope.  Otherwise, full variable names or pattern syntax can be used to specify the variables to save.  If the `-struct' modifier is used, fields F1 F2 ...  of the scalar structure STRUCT are saved as if they were variables with corresponding names.  Valid options for the `save' command are listed in the following table.  Options that modify the output format override the format specified by `default_save_options'.

     If save is invoked using the functional form

          save ("-option1", ..., "file", "v1", ...)

     then the OPTIONS, FILE, and variable name arguments (V1, ...) must be specified as character strings.

    `-ascii'
          Save a single matrix in a text file without header or any other information.

    `-binary'
          Save the data in Octave's binary data format.

    `-float-binary'
          Save the data in Octave's binary data format but only using single precision.  Only use this format if you know that all the values to be saved can be represented in single precision.

    `-hdf5'
          Save the data in HDF5 format.  (HDF5 is a free, portable binary format developed by the National Center for Supercomputing Applications at the University of Illinois.)

    `-float-hdf5'
          Save the data in HDF5 format but only using single precision.  Only use this format if you know that all the values to be saved can be represented in single precision.

    `-V7'
    `-v7'
    `-7'
    `-mat7-binary'
          Save the data in MATLAB's v7 binary data format.

    `-V6'
    `-v6'
    `-6'
    `-mat'
    `-mat-binary'
          Save the data in MATLAB's v6 binary data format.

    `-V4'
    `-v4'
    `-4'
    `-mat4-binary'
          Save the data in the binary format written by MATLAB version 4.

    `-text'
          Save the data in Octave's text data format.  (default).

    `-zip'
    `-z'
          Use the gzip algorithm to compress the file.  This works equally on files that are compressed with gzip outside of octave, and gzip can equally be used to convert the files for backward compatibility.

     The list of variables to save may use wildcard patterns containing the following special characters:
    `?'
          Match any single character.

    `*'
          Match zero or more characters.

    `[ LIST ]'
          Match the list of characters specified by LIST.  If the first character is `!' or `^', match all characters except those specified by LIST.  For example, the pattern `[a-zA-Z]' will match all lower and upper case alphabetic characters.

          Wildcards may also be used in the field name specifications when using the `-struct' modifier (but not in the struct name itself).


     Except when using the MATLAB binary data file format or the `-ascii' format, saving global variables also saves the global status of the variable.  If the variable is restored at a later time using `load', it will be restored as a global variable.

     The command

          save -binary data a b*

     saves the variable `a' and all variables beginning with `b' to the file `data' in Octave's binary format.  See also: load, default_save_options, dlmread, csvread, fread.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
Save the named variables V1, V2, .

# name: <cell-element>
# type: string
# elements: 1
# length: 23
crash_dumps_octave_core
# name: <cell-element>
# type: string
# elements: 1
# length: 406
 -- Built-in Function: VAL = crash_dumps_octave_core ()
 -- Built-in Function: OLD_VAL = crash_dumps_octave_core (NEW_VAL)
     Query or set the internal variable that controls whether Octave tries to save all current variables to the file "octave-core" if it crashes or receives a hangup, terminate or similar signal.  See also: octave_core_file_limit, octave_core_file_name, octave_core_file_options.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 190
Query or set the internal variable that controls whether Octave tries to save all current variables to the file "octave-core" if it crashes or receives a hangup, terminate or similar signal.

# name: <cell-element>
# type: string
# elements: 1
# length: 20
default_save_options
# name: <cell-element>
# type: string
# elements: 1
# length: 351
 -- Built-in Function: VAL = default_save_options ()
 -- Built-in Function: OLD_VAL = default_save_options (NEW_VAL)
     Query or set the internal variable that specifies the default options for the `save' command, and defines the default format.  Typical values include `"-ascii"', `"-text -zip"'.  The default value is `-text'.  See also: save.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 125
Query or set the internal variable that specifies the default options for the `save' command, and defines the default format.

# name: <cell-element>
# type: string
# elements: 1
# length: 22
octave_core_file_limit
# name: <cell-element>
# type: string
# elements: 1
# length: 730
 -- Built-in Function: VAL = octave_core_file_limit ()
 -- Built-in Function: OLD_VAL = octave_core_file_limit (NEW_VAL)
     Query or set the internal variable that specifies the maximum amount of memory (in kilobytes) of the top-level workspace that Octave will attempt to save when writing data to the crash dump file (the name of the file is specified by OCTAVE_CORE_FILE_NAME).  If OCTAVE_CORE_FILE_OPTIONS flags specify a binary format, then OCTAVE_CORE_FILE_LIMIT will be approximately the maximum size of the file.  If a text file format is used, then the file could be much larger than the limit.  The default value is -1 (unlimited) See also: crash_dumps_octave_core, octave_core_file_name, octave_core_file_options.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 256
Query or set the internal variable that specifies the maximum amount of memory (in kilobytes) of the top-level workspace that Octave will attempt to save when writing data to the crash dump file (the name of the file is specified by OCTAVE_CORE_FILE_NAME).

# name: <cell-element>
# type: string
# elements: 1
# length: 21
octave_core_file_name
# name: <cell-element>
# type: string
# elements: 1
# length: 388
 -- Built-in Function: VAL = octave_core_file_name ()
 -- Built-in Function: OLD_VAL = octave_core_file_name (NEW_VAL)
     Query or set the internal variable that specifies the name of the file used for saving data from the top-level workspace if Octave aborts.  The default value is `"octave-core"' See also: crash_dumps_octave_core, octave_core_file_name, octave_core_file_options.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 138
Query or set the internal variable that specifies the name of the file used for saving data from the top-level workspace if Octave aborts.

# name: <cell-element>
# type: string
# elements: 1
# length: 24
octave_core_file_options
# name: <cell-element>
# type: string
# elements: 1
# length: 488
 -- Built-in Function: VAL = octave_core_file_options ()
 -- Built-in Function: OLD_VAL = octave_core_file_options (NEW_VAL)
     Query or set the internal variable that specifies the options used for saving the workspace data if Octave aborts.  The value of `octave_core_file_options' should follow the same format as the options for the `save' function.  The default value is Octave's binary format.  See also: crash_dumps_octave_core, octave_core_file_name, octave_core_file_limit.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 114
Query or set the internal variable that specifies the options used for saving the workspace data if Octave aborts.

# name: <cell-element>
# type: string
# elements: 1
# length: 25
save_header_format_string
# name: <cell-element>
# type: string
# elements: 1
# length: 671
 -- Built-in Function: VAL = save_header_format_string ()
 -- Built-in Function: OLD_VAL = save_header_format_string (NEW_VAL)
     Query or set the internal variable that specifies the format string used for the comment line written at the beginning of text-format data files saved by Octave.  The format string is passed to `strftime' and should begin with the character `#' and contain no newline characters.  If the value of `save_header_format_string' is the empty string, the header comment is omitted from text-format data files.  The default value is

          "# Created by Octave VERSION, %a %b %d %H:%M:%S %Y %Z <USER@HOST>"
     See also: strftime, save.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 161
Query or set the internal variable that specifies the format string used for the comment line written at the beginning of text-format data files saved by Octave.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
lookup
# name: <cell-element>
# type: string
# elements: 1
# length: 1403
 -- Loadable Function: IDX = lookup (TABLE, Y, OPT)
     Lookup values in a sorted table.  Usually used as a prelude to interpolation.

     If table is strictly increasing and `idx = lookup (table, y)', then `table(idx(i)) <= y(i) < table(idx(i+1))' for all `y(i)' within the table.  If `y(i) < table (1)' then `idx(i)' is 0. If `y(i) >= table(end)' then `idx(i)' is `table(n)'.

     If the table is strictly decreasing, then the tests are reversed.  There are no guarantees for tables which are non-monotonic or are not strictly monotonic.

     The algorithm used by lookup is standard binary search, with optimizations to speed up the case of partially ordered arrays (dense downsampling).  In particular, looking up a single entry is of logarithmic complexity (unless a conversion occurs due to non-numeric or unequal types).

     TABLE and Y can also be cell arrays of strings (or Y can be a single string).  In this case, string lookup is performed using lexicographical comparison.

     If OPTS is specified, it shall be a string with letters indicating additional options.  For numeric lookup, 'l' in OPTS indicates that the leftmost subinterval shall be extended to infinity (i.e., all indices at least 1), and 'r' indicates that the rightmost subinterval shall be extended to infinity (i.e., all indices at most n-1).

     For string lookup, 'i' indicates case-insensitive comparison.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 32
Lookup values in a sorted table.

# name: <cell-element>
# type: string
# elements: 1
# length: 14
save_precision
# name: <cell-element>
# type: string
# elements: 1
# length: 225
 -- Built-in Function: VAL = save_precision ()
 -- Built-in Function: OLD_VAL = save_precision (NEW_VAL)
     Query or set the internal variable that specifies the number of digits to keep when saving data in text format.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 111
Query or set the internal variable that specifies the number of digits to keep when saving data in text format.

# name: <cell-element>
# type: string
# elements: 1
# length: 13
lsode_options
# name: <cell-element>
# type: string
# elements: 1
# length: 1946
 -- Loadable Function:  lsode_options (OPT, VAL)
     When called with two arguments, this function allows you set options parameters for the function `lsode'.  Given one argument, `lsode_options' returns the value of the corresponding option.  If no arguments are supplied, the names of all the available options and their current values are displayed.

     Options include

    `"absolute tolerance"'
          Absolute tolerance.  May be either vector or scalar.  If a vector, it must match the dimension of the state vector.

    `"relative tolerance"'
          Relative tolerance parameter.  Unlike the absolute tolerance, this parameter may only be a scalar.

          The local error test applied at each integration step is

                 abs (local error in x(i)) <= ...
                     rtol * abs (y(i)) + atol(i)

    `"integration method"'
          A string specifying the method of integration to use to solve the ODE system.  Valid values are

         "adams"
         "non-stiff"
               No Jacobian used (even if it is available).

         "bdf"

         "stiff"
               Use stiff backward differentiation formula (BDF) method.  If a function to compute the Jacobian is not supplied, `lsode' will compute a finite difference approximation of the Jacobian matrix.

    `"initial step size"'
          The step size to be attempted on the first step (default is determined automatically).

    `"maximum order"'
          Restrict the maximum order of the solution method.  If using the Adams method, this option must be between 1 and 12.  Otherwise, it must be between 1 and 5, inclusive.

    `"maximum step size"'
          Setting the maximum stepsize will avoid passing over very large regions  (default is not specified).

    `"minimum step size"'
          The minimum absolute step size allowed (default is 0).

    `"step limit"'
          Maximum number of steps allowed (default is 100000).

# name: <cell-element>
# type: string
# elements: 1
# length: 105
When called with two arguments, this function allows you set options parameters for the function `lsode'.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
lsode
# name: <cell-element>
# type: string
# elements: 1
# length: 2600
 -- Loadable Function: [X, ISTATE, MSG] = lsode (FCN, X_0, T, T_CRIT)
     Solve the set of differential equations

          dx
          -- = f(x, t)
          dt

     with

          x(t_0) = x_0

     The solution is returned in the matrix X, with each row corresponding to an element of the vector T.  The first element of T should be t_0 and should correspond to the initial state of the system X_0, so that the first row of the output is X_0.

     The first argument, FCN, is a string, inline, or function handle that names the function f to call to compute the vector of right hand sides for the set of equations.  The function must have the form

          XDOT = f (X, T)

     in which XDOT and X are vectors and T is a scalar.

     If FCN is a two-element string array or a two-element cell array of strings, inline functions, or function handles, the first element names the function f described above, and the second element names a function to compute the Jacobian of f.  The Jacobian function must have the form

          JAC = j (X, T)

     in which JAC is the matrix of partial derivatives

                       | df_1  df_1       df_1 |
                       | ----  ----  ...  ---- |
                       | dx_1  dx_2       dx_N |
                       |                       |
                       | df_2  df_2       df_2 |
                       | ----  ----  ...  ---- |
                df_i   | dx_1  dx_2       dx_N |
          jac = ---- = |                       |
                dx_j   |  .    .     .    .    |
                       |  .    .      .   .    |
                       |  .    .       .  .    |
                       |                       |
                       | df_N  df_N       df_N |
                       | ----  ----  ...  ---- |
                       | dx_1  dx_2       dx_N |

     The second and third arguments specify the initial state of the system, x_0, and the initial value of the independent variable t_0.

     The fourth argument is optional, and may be used to specify a set of times that the ODE solver should not integrate past.  It is useful for avoiding difficulties with singularities and points where there is a discontinuity in the derivative.

     After a successful computation, the value of ISTATE will be 2 (consistent with the Fortran version of LSODE).

     If the computation is not successful, ISTATE will be something other than 2 and MSG will contain additional information.

     You can use the function `lsode_options' to set optional parameters for `lsode'.  See also: daspk, dassl, dasrt.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 40
Solve the set of differential equations 

# name: <cell-element>
# type: string
# elements: 1
# length: 2
lu
# name: <cell-element>
# type: string
# elements: 1
# length: 2398
 -- Loadable Function: [L, U, P] = lu (A)
 -- Loadable Function: [L, U, P, Q] = lu (S)
 -- Loadable Function: [L, U, P, Q, R] = lu (S)
 -- Loadable Function: [...] = lu (S, THRES)
 -- Loadable Function: Y = lu (...)
 -- Loadable Function: [...] = lu (..., 'vector')
     Compute the LU decomposition of A.  If A is full subroutines from LAPACK are used and if A is sparse then UMFPACK is used.  The result is returned in a permuted form, according to the optional return value P.  For example, given the matrix `a = [1, 2; 3, 4]',

          [l, u, p] = lu (a)

     returns

          l =

            1.00000  0.00000
            0.33333  1.00000

          u =

            3.00000  4.00000
            0.00000  0.66667

          p =

            0  1
            1  0

     The matrix is not required to be square.

     Called with two or three output arguments and a spare input matrix, then "lu" does not attempt to perform sparsity preserving column permutations.  Called with a fourth output argument, the sparsity preserving column transformation Q is returned, such that `P * A * Q = L * U'.

     Called with a fifth output argument and a sparse input matrix, then "lu" attempts to use a scaling factor R on the input matrix such that `P * (R \ A) * Q = L * U'.  This typically leads to a sparser and more stable factorization.

     An additional input argument THRES, that defines the pivoting threshold can be given.  THRES can be a scalar, in which case it defines UMFPACK pivoting tolerance for both symmetric and unsymmetric cases.  If THRES is a two element vector, then the first element defines the pivoting tolerance for the unsymmetric UMFPACK pivoting strategy and the second the symmetric strategy.  By default, the values defined by `spparms' are used and are by default `[0.1, 0.001]'.

     Given the string argument 'vector', "lu" returns the values of P Q as vector values, such that for full matrix, `A (P,:) = L * U', and `R(P,:) * A (:, Q) = L * U'.

     With two output arguments, returns the permuted forms of the upper and lower triangular matrices, such that `A = L * U'.  With one output argument Y, then the matrix returned by the LAPACK routines is returned.  If the input matrix is sparse then the matrix L is embedded into U to give a return value similar to the full case.  For both full and sparse matrices, "lu" looses the permutation information.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
Compute the LU decomposition of A.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
luinc
# name: <cell-element>
# type: string
# elements: 1
# length: 2264
 -- Loadable Function: [L, U, P, Q] = luinc (A, '0')
 -- Loadable Function: [L, U, P, Q] = luinc (A, DROPTOL)
 -- Loadable Function: [L, U, P, Q] = luinc (A, OPTS)
     Produce the incomplete LU factorization of the sparse matrix A.  Two types of incomplete factorization are possible, and the type is determined by the second argument to "luinc".

     Called with a second argument of '0', the zero-level incomplete LU factorization is produced.  This creates a factorization of A where the position of the non-zero arguments correspond to the same positions as in the matrix A.

     Alternatively, the fill-in of the incomplete LU factorization can be controlled through the variable DROPTOL or the structure OPTS.  The UMFPACK multifrontal factorization code by Tim A.  Davis is used for the incomplete LU factorization, (availability `http://www.cise.ufl.edu/research/sparse/umfpack/')

     DROPTOL determines the values below which the values in the LU factorization are dropped and replaced by zero.  It must be a positive scalar, and any values in the factorization whose absolute value are less than this value are dropped, expect if leaving them increase the sparsity of the matrix.  Setting DROPTOL to zero results in a complete LU factorization which is the default.

     OPTS is a structure containing one or more of the fields

    `droptol'
          The drop tolerance as above.  If OPTS only contains `droptol' then this is equivalent to using the variable DROPTOL.

    `milu'
          A logical variable flagging whether to use the modified incomplete LU factorization.  In the case that `milu' is true, the dropped values are subtracted from the diagonal of the matrix U of the factorization.  The default is `false'.

    `udiag'
          A logical variable that flags whether zero elements on the diagonal of U should be replaced with DROPTOL to attempt to avoid singular factors.  The default is `false'.

    `thresh'
          Defines the pivot threshold in the interval [0,1].  Values outside that range are ignored.

     All other fields in OPTS are ignored.  The outputs from "luinc" are the same as for "lu".

     Given the string argument 'vector', "luinc" returns the values of P Q as vector values.  See also: sparse, lu.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 63
Produce the incomplete LU factorization of the sparse matrix A.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
abs
# name: <cell-element>
# type: string
# elements: 1
# length: 164
 -- Mapping Function:  abs (Z)
     Compute the magnitude of Z, defined as |Z| = `sqrt (x^2 + y^2)'.

     For example,

          abs (3 + 4i)
               => 5

# name: <cell-element>
# type: string
# elements: 1
# length: 64
Compute the magnitude of Z, defined as |Z| = `sqrt (x^2 + y^2)'.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
acos
# name: <cell-element>
# type: string
# elements: 1
# length: 124
 -- Mapping Function:  acos (X)
     Compute the inverse cosine in radians for each element of X.  See also: cos, acosd.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 60
Compute the inverse cosine in radians for each element of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
acosh
# name: <cell-element>
# type: string
# elements: 1
# length: 119
 -- Mapping Function:  acosh (X)
     Compute the inverse hyperbolic cosine for each element of X.  See also: cosh.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 60
Compute the inverse hyperbolic cosine for each element of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
angle
# name: <cell-element>
# type: string
# elements: 1
# length: 50
 -- Mapping Function:  angle (Z)
     See arg.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 8
See arg.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
arg
# name: <cell-element>
# type: string
# elements: 1
# length: 213
 -- Mapping Function:  arg (Z)
 -- Mapping Function:  angle (Z)
     Compute the argument of Z, defined as, THETA = `atan2 (Y, X)', in radians.

     For example,

          arg (3 + 4i)
               => 0.92730

# name: <cell-element>
# type: string
# elements: 1
# length: 74
Compute the argument of Z, defined as, THETA = `atan2 (Y, X)', in radians.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
asin
# name: <cell-element>
# type: string
# elements: 1
# length: 122
 -- Mapping Function:  asin (X)
     Compute the inverse sine in radians for each element of X.  See also: sin, asind.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 58
Compute the inverse sine in radians for each element of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
asinh
# name: <cell-element>
# type: string
# elements: 1
# length: 117
 -- Mapping Function:  asinh (X)
     Compute the inverse hyperbolic sine for each element of X.  See also: sinh.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 58
Compute the inverse hyperbolic sine for each element of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
atan
# name: <cell-element>
# type: string
# elements: 1
# length: 125
 -- Mapping Function:  atan (X)
     Compute the inverse tangent in radians for each element of X.  See also: tan, atand.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 61
Compute the inverse tangent in radians for each element of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
atanh
# name: <cell-element>
# type: string
# elements: 1
# length: 120
 -- Mapping Function:  atanh (X)
     Compute the inverse hyperbolic tangent for each element of X.  See also: tanh.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 61
Compute the inverse hyperbolic tangent for each element of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
ceil
# name: <cell-element>
# type: string
# elements: 1
# length: 297
 -- Mapping Function:  ceil (X)
     Return the smallest integer not less than X.  This is equivalent to rounding towards positive infinity.  If X is complex, return `ceil (real (X)) + ceil (imag (X)) * I'.
          ceil ([-2.7, 2.7])
             =>  -2   3
     See also: floor, round, fix.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 44
Return the smallest integer not less than X.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
conj
# name: <cell-element>
# type: string
# elements: 1
# length: 130
 -- Mapping Function:  conj (Z)
     Return the complex conjugate of Z, defined as `conj (Z)' = X - IY.  See also: real, imag.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 66
Return the complex conjugate of Z, defined as `conj (Z)' = X - IY.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
cos
# name: <cell-element>
# type: string
# elements: 1
# length: 121
 -- Mapping Function:  cos (X)
     Compute the cosine for each element of X in radians.  See also: acos, cosd, cosh.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 52
Compute the cosine for each element of X in radians.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
cosh
# name: <cell-element>
# type: string
# elements: 1
# length: 123
 -- Mapping Function:  cosh (X)
     Compute the hyperbolic cosine for each element of X.  See also: acosh, sinh, tanh.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 52
Compute the hyperbolic cosine for each element of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
erf
# name: <cell-element>
# type: string
# elements: 1
# length: 290
 -- Mapping Function:  erf (Z)
     Computes the error function,

                                   z
                                  /
          erf (z) = (2/sqrt (pi)) | e^(-t^2) dt
                                  /
                               t=0
     See also: erfc, erfinv.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 29
Computes the error function, 

# name: <cell-element>
# type: string
# elements: 1
# length: 4
erfc
# name: <cell-element>
# type: string
# elements: 1
# length: 122
 -- Mapping Function:  erfc (Z)
     Computes the complementary error function, `1 - erf (Z)'.  See also: erf, erfinv.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 57
Computes the complementary error function, `1 - erf (Z)'.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
exp
# name: <cell-element>
# type: string
# elements: 1
# length: 156
 -- Mapping Function:  exp (X)
     Compute `e^x' for each element of X.  To compute the matrix exponential, see *note Linear Algebra::.  See also: log.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 36
Compute `e^x' for each element of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
expm1
# name: <cell-element>
# type: string
# elements: 1
# length: 119
 -- Mapping Function:  expm1 (X)
     Compute `exp (X) - 1' accurately in the neighborhood of zero.  See also: exp.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 61
Compute `exp (X) - 1' accurately in the neighborhood of zero.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
finite
# name: <cell-element>
# type: string
# elements: 1
# length: 195
 -- Mapping Function:  finite (X)
     Return 1 for elements of X that are finite values and zero otherwise.  For example,

          finite ([13, Inf, NA, NaN])
               => [ 1, 0, 0, 0 ]

# name: <cell-element>
# type: string
# elements: 1
# length: 69
Return 1 for elements of X that are finite values and zero otherwise.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
fix
# name: <cell-element>
# type: string
# elements: 1
# length: 300
 -- Mapping Function:  fix (X)
     Truncate fractional portion of X and return the integer portion.  This is equivalent to rounding towards zero.  If X is complex, return `fix (real (X)) + fix (imag (X)) * I'.
          fix ([-2.7, 2.7])
             => -2   2
     See also: ceil, floor, round.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 64
Truncate fractional portion of X and return the integer portion.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
floor
# name: <cell-element>
# type: string
# elements: 1
# length: 303
 -- Mapping Function:  floor (X)
     Return the largest integer not greater than X.  This is equivalent to rounding towards negative infinity.  If X is complex, return `floor (real (X)) + floor (imag (X)) * I'.
          floor ([-2.7, 2.7])
               => -3   2
     See also: ceil, round, fix.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 46
Return the largest integer not greater than X.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
gamma
# name: <cell-element>
# type: string
# elements: 1
# length: 251
 -- Mapping Function:  gamma (Z)
     Computes the Gamma function,

                      infinity
                      /
          gamma (z) = | t^(z-1) exp (-t) dt.
                      /
                   t=0
     See also: gammainc, lgamma.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 29
Computes the Gamma function, 

# name: <cell-element>
# type: string
# elements: 1
# length: 4
imag
# name: <cell-element>
# type: string
# elements: 1
# length: 112
 -- Mapping Function:  imag (Z)
     Return the imaginary part of Z as a real number.  See also: real, conj.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 48
Return the imaginary part of Z as a real number.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
isalnum
# name: <cell-element>
# type: string
# elements: 1
# length: 136
 -- Mapping Function:  isalnum (S)
     Return 1 for characters that are letters or digits (`isalpha (S)' or `isdigit (S)' is true).
   
# name: <cell-element>
# type: string
# elements: 1
# length: 92
Return 1 for characters that are letters or digits (`isalpha (S)' or `isdigit (S)' is true).

# name: <cell-element>
# type: string
# elements: 1
# length: 7
isalpha
# name: <cell-element>
# type: string
# elements: 1
# length: 165
 -- Mapping Function:  isalpha (S)
 -- Mapping Function:  isletter (S)
     Return true for characters that are letters (`isupper (S)' or `islower (S)' is true).
   
# name: <cell-element>
# type: string
# elements: 1
# length: 85
Return true for characters that are letters (`isupper (S)' or `islower (S)' is true).

# name: <cell-element>
# type: string
# elements: 1
# length: 7
isascii
# name: <cell-element>
# type: string
# elements: 1
# length: 115
 -- Mapping Function:  isascii (S)
     Return 1 for characters that are ASCII (in the range 0 to 127 decimal).
   
# name: <cell-element>
# type: string
# elements: 1
# length: 71
Return 1 for characters that are ASCII (in the range 0 to 127 decimal).

# name: <cell-element>
# type: string
# elements: 1
# length: 7
iscntrl
# name: <cell-element>
# type: string
# elements: 1
# length: 76
 -- Mapping Function:  iscntrl (S)
     Return 1 for control characters.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 32
Return 1 for control characters.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
isdigit
# name: <cell-element>
# type: string
# elements: 1
# length: 92
 -- Mapping Function:  isdigit (S)
     Return 1 for characters that are decimal digits.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 48
Return 1 for characters that are decimal digits.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
isinf
# name: <cell-element>
# type: string
# elements: 1
# length: 188
 -- Mapping Function:  isinf (X)
     Return 1 for elements of X that are infinite and zero otherwise.  For example,

          isinf ([13, Inf, NA, NaN])
               => [ 0, 1, 0, 0 ]

# name: <cell-element>
# type: string
# elements: 1
# length: 64
Return 1 for elements of X that are infinite and zero otherwise.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
isgraph
# name: <cell-element>
# type: string
# elements: 1
# length: 108
 -- Mapping Function:  isgraph (S)
     Return 1 for printable characters (but not the space character).
   
# name: <cell-element>
# type: string
# elements: 1
# length: 64
Return 1 for printable characters (but not the space character).

# name: <cell-element>
# type: string
# elements: 1
# length: 7
islower
# name: <cell-element>
# type: string
# elements: 1
# length: 96
 -- Mapping Function:  islower (S)
     Return 1 for characters that are lower case letters.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 52
Return 1 for characters that are lower case letters.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
isna
# name: <cell-element>
# type: string
# elements: 1
# length: 222
 -- Mapping Function:  isna (X)
     Return 1 for elements of X that are NA (missing) values and zero otherwise.  For example,

          isna ([13, Inf, NA, NaN])
               => [ 0, 0, 1, 0 ]
     See also: isnan.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 75
Return 1 for elements of X that are NA (missing) values and zero otherwise.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
isnan
# name: <cell-element>
# type: string
# elements: 1
# length: 257
 -- Mapping Function:  isnan (X)
     Return 1 for elements of X that are NaN values and zero otherwise.  NA values are also considered NaN values.  For example,

          isnan ([13, Inf, NA, NaN])
               => [ 0, 0, 1, 1 ]
     See also: isna.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 66
Return 1 for elements of X that are NaN values and zero otherwise.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
isprint
# name: <cell-element>
# type: string
# elements: 1
# length: 110
 -- Mapping Function:  isprint (S)
     Return 1 for printable characters (including the space character).
   
# name: <cell-element>
# type: string
# elements: 1
# length: 66
Return 1 for printable characters (including the space character).

# name: <cell-element>
# type: string
# elements: 1
# length: 7
ispunct
# name: <cell-element>
# type: string
# elements: 1
# length: 80
 -- Mapping Function:  ispunct (S)
     Return 1 for punctuation characters.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 36
Return 1 for punctuation characters.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
isspace
# name: <cell-element>
# type: string
# elements: 1
# length: 146
 -- Mapping Function:  isspace (S)
     Return 1 for whitespace characters (space, formfeed, newline, carriage return, tab, and vertical tab).
   
# name: <cell-element>
# type: string
# elements: 1
# length: 102
Return 1 for whitespace characters (space, formfeed, newline, carriage return, tab, and vertical tab).

# name: <cell-element>
# type: string
# elements: 1
# length: 7
isupper
# name: <cell-element>
# type: string
# elements: 1
# length: 76
 -- Mapping Function:  isupper (S)
     Return 1 for upper case letters.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 32
Return 1 for upper case letters.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
isxdigit
# name: <cell-element>
# type: string
# elements: 1
# length: 97
 -- Mapping Function:  isxdigit (S)
     Return 1 for characters that are hexadecimal digits.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 52
Return 1 for characters that are hexadecimal digits.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
lgamma
# name: <cell-element>
# type: string
# elements: 1
# length: 162
 -- Mapping Function:  lgamma (X)
 -- Mapping Function:  gammaln (X)
     Return the natural logarithm of the gamma function of X.  See also: gamma, gammainc.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 56
Return the natural logarithm of the gamma function of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
log
# name: <cell-element>
# type: string
# elements: 1
# length: 211
 -- Mapping Function:  log (X)
     Compute the natural logarithm, `ln (X)', for each element of X.  To compute the matrix logarithm, see *note Linear Algebra::.  See also: exp, log1p, log2, log10, logspace.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 63
Compute the natural logarithm, `ln (X)', for each element of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
log10
# name: <cell-element>
# type: string
# elements: 1
# length: 130
 -- Mapping Function:  log10 (X)
     Compute the base-10 logarithm of each element of X.  See also: log, log2, logspace, exp.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 51
Compute the base-10 logarithm of each element of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
log1p
# name: <cell-element>
# type: string
# elements: 1
# length: 131
 -- Mapping Function:  log1p (X)
     Compute `log (1 + X)' accurately in the neighborhood of zero.  See also: log, exp, expm1.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 61
Compute `log (1 + X)' accurately in the neighborhood of zero.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
real
# name: <cell-element>
# type: string
# elements: 1
# length: 90
 -- Mapping Function:  real (Z)
     Return the real part of Z.  See also: imag, conj.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 26
Return the real part of Z.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
round
# name: <cell-element>
# type: string
# elements: 1
# length: 230
 -- Mapping Function:  round (X)
     Return the integer nearest to X.  If X is complex, return `round (real (X)) + round (imag (X)) * I'.
          round ([-2.7, 2.7])
               => -3   3
     See also: ceil, floor, fix.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 32
Return the integer nearest to X.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
roundb
# name: <cell-element>
# type: string
# elements: 1
# length: 240
 -- Mapping Function:  roundb (X)
     Return the integer nearest to X.  If there are two nearest integers, return the even one (banker's rounding).  If X is complex, return `roundb (real (X)) + roundb (imag (X)) * I'.  See also: round.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 32
Return the integer nearest to X.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
sign
# name: <cell-element>
# type: string
# elements: 1
# length: 248
 -- Mapping Function:  sign (X)
     Compute the "signum" function, which is defined as

                     -1, x < 0;
          sign (x) =  0, x = 0;
                      1, x > 0.

     For complex arguments, `sign' returns `x ./ abs (X)'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 51
Compute the "signum" function, which is defined as 

# name: <cell-element>
# type: string
# elements: 1
# length: 3
sin
# name: <cell-element>
# type: string
# elements: 1
# length: 119
 -- Mapping Function:  sin (X)
     Compute the sine for each element of X in radians.  See also: asin, sind, sinh.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 50
Compute the sine for each element of X in radians.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
sinh
# name: <cell-element>
# type: string
# elements: 1
# length: 121
 -- Mapping Function:  sinh (X)
     Compute the hyperbolic sine for each element of X.  See also: asinh, cosh, tanh.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 50
Compute the hyperbolic sine for each element of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
sqrt
# name: <cell-element>
# type: string
# elements: 1
# length: 220
 -- Mapping Function:  sqrt (X)
     Compute the square root of each element of X.  If X is negative, a complex result is returned.  To compute the matrix square root, see *note Linear Algebra::.  See also: realsqrt.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 45
Compute the square root of each element of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
tan
# name: <cell-element>
# type: string
# elements: 1
# length: 122
 -- Mapping Function:  tan (Z)
     Compute the tangent for each element of X in radians.  See also: atan, tand, tanh.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 53
Compute the tangent for each element of X in radians.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
tanh
# name: <cell-element>
# type: string
# elements: 1
# length: 120
 -- Mapping Function:  tanh (X)
     Compute hyperbolic tangent for each element of X.  See also: atanh, sinh, cosh.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 49
Compute hyperbolic tangent for each element of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
toascii
# name: <cell-element>
# type: string
# elements: 1
# length: 195
 -- Mapping Function:  toascii (S)
     Return ASCII representation of S in a matrix.  For example,

          toascii ("ASCII")
               => [ 65, 83, 67, 73, 73 ]

     See also: char.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 45
Return ASCII representation of S in a matrix.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
tolower
# name: <cell-element>
# type: string
# elements: 1
# length: 356
 -- Mapping Function:  tolower (S)
 -- Mapping Function:  lower (S)
     Return a copy of the string or cell string S, with each upper-case character replaced by the corresponding lower-case one; non-alphabetic characters are left unchanged.  For example,

          tolower ("MiXeD cAsE 123")
               => "mixed case 123"
     See also: toupper.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 168
Return a copy of the string or cell string S, with each upper-case character replaced by the corresponding lower-case one; non-alphabetic characters are left unchanged.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
toupper
# name: <cell-element>
# type: string
# elements: 1
# length: 358
 -- Built-in Function:  toupper (S)
 -- Built-in Function:  upper (S)
     Return a copy of the string or cell string S, with each lower-case character replaced by the corresponding upper-case one; non-alphabetic characters are left unchanged.  For example,

          toupper ("MiXeD cAsE 123")
               => "MIXED CASE 123"
     See also: tolower.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 168
Return a copy of the string or cell string S, with each lower-case character replaced by the corresponding upper-case one; non-alphabetic characters are left unchanged.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
matrix_type
# name: <cell-element>
# type: string
# elements: 1
# length: 2920
 -- Loadable Function: TYPE = matrix_type (A)
 -- Loadable Function: A = matrix_type (A, TYPE)
 -- Loadable Function: A = matrix_type (A, 'upper', PERM)
 -- Loadable Function: A = matrix_type (A, 'lower', PERM)
 -- Loadable Function: A = matrix_type (A, 'banded', NL, NU)
     Identify the matrix type or mark a matrix as a particular type.  This allows rapid for solutions of linear equations involving A to be performed.  Called with a single argument, `matrix_type' returns the type of the matrix and caches it for future use.  Called with more than one argument, `matrix_type' allows the type of the matrix to be defined.

     The possible matrix types depend on whether the matrix is full or sparse, and can be one of the following

    'unknown'
          Remove any previously cached matrix type, and mark type as unknown

    'full'
          Mark the matrix as full.

    'positive definite'
          Probable full positive definite matrix.

    'diagonal'
          Diagonal Matrix.  (Sparse matrices only)

    'permuted diagonal'
          Permuted Diagonal matrix.  The permutation does not need to be specifically indicated, as the structure of the matrix explicitly gives this.  (Sparse matrices only)

    'upper'
          Upper triangular.  If the optional third argument PERM is given, the matrix is assumed to be a permuted upper triangular with the permutations defined by the vector PERM.

    'lower'
          Lower triangular.  If the optional third argument PERM is given, the matrix is assumed to be a permuted lower triangular with the permutations defined by the vector PERM.

    'banded'
    'banded positive definite'
          Banded matrix with the band size of NL below the diagonal and NU above it.  If NL and NU are 1, then the matrix is tridiagonal and treated with specialized code.  In addition the matrix can be marked as probably a positive definite (Sparse matrices only)

    'singular'
          The matrix is assumed to be singular and will be treated with a minimum norm solution


     Note that the matrix type will be discovered automatically on the first attempt to solve a linear equation involving A.  Therefore `matrix_type' is only useful to give Octave hints of the matrix type.  Incorrectly defining the matrix type will result in incorrect results from solutions of linear equations, and so it is entirely the responsibility of the user to correctly identify the matrix type.

     Also the test for positive definiteness is a low-cost test for a hermitian matrix with a real positive diagonal.  This does not guarantee that the matrix is positive definite, but only that it is a probable candidate.  When such a matrix is factorized, a Cholesky factorization is first attempted, and if that fails the matrix is then treated with an LU factorization.  Once the matrix has been factorized, `matrix_type' will return the correct classification of the matrix.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 63
Identify the matrix type or mark a matrix as a particular type.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
min
# name: <cell-element>
# type: string
# elements: 1
# length: 993
 -- Loadable Function:  min (X)
 -- Loadable Function:  min (X, Y)
 -- Loadable Function:  min (X, Y, DIM)
 -- Loadable Function: [W, IW] = min (X)
     For a vector argument, return the minimum value.  For a matrix argument, return the minimum value from each column, as a row vector, or over the dimension DIM if defined.  For two matrices (or a matrix and scalar), return the pair-wise minimum.  Thus,

          min (min (X))

     returns the smallest element of X, and

          min (2:5, pi)
              =>  2.0000  3.0000  3.1416  3.1416
     compares each element of the range `2:5' with `pi', and returns a row vector of the minimum values.

     For complex arguments, the magnitude of the elements are used for comparison.

     If called with one input and two output arguments, `min' also returns the first index of the minimum value(s).  Thus,

          [x, ix] = min ([1, 3, 0, 2, 0])
              =>  x = 0
                  ix = 3
     See also: max, cummin, cummax.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 48
For a vector argument, return the minimum value.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
max
# name: <cell-element>
# type: string
# elements: 1
# length: 1003
 -- Loadable Function:  max (X)
 -- Loadable Function:  max (X, Y)
 -- Loadable Function:  max (X, Y, DIM)
 -- Loadable Function: [W, IW] = max (X)
     For a vector argument, return the maximum value.  For a matrix argument, return the maximum value from each column, as a row vector, or over the dimension DIM if defined.  For two matrices (or a matrix and scalar), return the pair-wise maximum.  Thus,

          max (max (X))

     returns the largest element of the matrix X, and

          max (2:5, pi)
              =>  3.1416  3.1416  4.0000  5.0000
     compares each element of the range `2:5' with `pi', and returns a row vector of the maximum values.

     For complex arguments, the magnitude of the elements are used for comparison.

     If called with one input and two output arguments, `max' also returns the first index of the maximum value(s).  Thus,

          [x, ix] = max ([1, 3, 5, 2, 5])
              =>  x = 5
                  ix = 3
     See also: min, cummax, cummin.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 48
For a vector argument, return the maximum value.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
cummin
# name: <cell-element>
# type: string
# elements: 1
# length: 750
 -- Loadable Function:  cummin (X)
 -- Loadable Function:  cummin (X, DIM)
 -- Loadable Function: [W, IW] = cummin (X)
     Return the cumulative minimum values along dimension DIM.  If DIM is unspecified it defaults to column-wise operation.  For example,

          cummin ([5 4 6 2 3 1])
              =>  5  4  4  2  2  1

     The call
            [w, iw] = cummin (x, dim)

     is equivalent to the following code:
          w = iw = zeros (size (x));
          idxw = idxx = repmat ({':'}, 1, ndims (x));
          for i = 1:size (x, dim)
            idxw{dim} = i; idxx{dim} = 1:i;
            [w(idxw{:}), iw(idxw{:})] = min(x(idxx{:}), [], dim);
          endfor

     but computed in a much faster manner.  See also: cummax, min, max.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 57
Return the cumulative minimum values along dimension DIM.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
cummax
# name: <cell-element>
# type: string
# elements: 1
# length: 748
 -- Loadable Function:  cummax (X)
 -- Loadable Function:  cummax (X, DIM)
 -- Loadable Function: [W, IW] = cummax (X)
     Return the cumulative maximum values along dimension DIM.  If DIM is unspecified it defaults to column-wise operation.  For example,

          cummax ([1 3 2 6 4 5])
              =>  1  3  3  6  6  6

     The call
          [w, iw] = cummax (x, dim)

     is equivalent to the following code:
          w = iw = zeros (size (x));
          idxw = idxx = repmat ({':'}, 1, ndims (x));
          for i = 1:size (x, dim)
            idxw{dim} = i; idxx{dim} = 1:i;
            [w(idxw{:}), iw(idxw{:})] = max(x(idxx{:}), [], dim);
          endfor

     but computed in a much faster manner.  See also: cummin, max, min.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 57
Return the cumulative maximum values along dimension DIM.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
md5sum
# name: <cell-element>
# type: string
# elements: 1
# length: 224
 -- Loadable Function:  md5sum (FILE)
 -- Loadable Function:  md5sum (STR, OPT)
     Calculates the MD5 sum of the file FILE.  If the second parameter OPT exists and is true, then calculate the MD5 sum of the string STR.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 40
Calculates the MD5 sum of the file FILE.

# name: <cell-element>
# type: string
# elements: 1
# length: 12
edit_history
# name: <cell-element>
# type: string
# elements: 1
# length: 1258
 -- Command: edit_history [FIRST] [LAST]
     If invoked with no arguments, `edit_history' allows you to edit the history list using the editor named by the variable `EDITOR'.  The commands to be edited are first copied to a temporary file.  When you exit the editor, Octave executes the commands that remain in the file.  It is often more convenient to use `edit_history' to define functions rather than attempting to enter them directly on the command line.  By default, the block of commands is executed as soon as you exit the editor.  To avoid executing any commands, simply delete all the lines from the buffer before exiting the editor.

     The `edit_history' command takes two optional arguments specifying the history numbers of first and last commands to edit.  For example, the command

          edit_history 13

     extracts all the commands from the 13th through the last in the history list.  The command

          edit_history 13 169

     only extracts commands 13 through 169.  Specifying a larger number for the first command than the last command reverses the list of commands before placing them in the buffer to be edited.  If both arguments are omitted, the previous command in the history list is used.  See also: run_history.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 129
If invoked with no arguments, `edit_history' allows you to edit the history list using the editor named by the variable `EDITOR'.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
history
# name: <cell-element>
# type: string
# elements: 1
# length: 837
 -- Command: history options
     If invoked with no arguments, `history' displays a list of commands that you have executed.  Valid options are:

    `-w FILE'
          Write the current history to the file FILE.  If the name is omitted, use the default history file (normally `~/.octave_hist').

    `-r FILE'
          Read the file FILE, replacing the current history list with its contents.  If the name is omitted, use the default history file (normally `~/.octave_hist').

    `N'
          Display only the most recent N lines of history.

    `-q'
          Don't number the displayed lines of history.  This is useful for cutting and pasting commands using the X Window System.

     For example, to display the five most recent commands that you have typed without displaying line numbers, use the command `history -q 5'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 91
If invoked with no arguments, `history' displays a list of commands that you have executed.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
run_history
# name: <cell-element>
# type: string
# elements: 1
# length: 212
 -- Command: run_history [FIRST] [LAST]
     Similar to `edit_history', except that the editor is not invoked, and the commands are simply executed as they appear in the history list.  See also: edit_history.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 138
Similar to `edit_history', except that the editor is not invoked, and the commands are simply executed as they appear in the history list.

# name: <cell-element>
# type: string
# elements: 1
# length: 12
history_size
# name: <cell-element>
# type: string
# elements: 1
# length: 379
 -- Built-in Function: VAL = history_size ()
 -- Built-in Function: OLD_VAL = history_size (NEW_VAL)
     Query or set the internal variable that specifies how many entries to store in the history file.  The default value is `1024', but may be overridden by the environment variable `OCTAVE_HISTSIZE'.  See also: history_file, history_timestamp_format_string, saving_history.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 96
Query or set the internal variable that specifies how many entries to store in the history file.

# name: <cell-element>
# type: string
# elements: 1
# length: 12
history_file
# name: <cell-element>
# type: string
# elements: 1
# length: 394
 -- Built-in Function: VAL = history_file ()
 -- Built-in Function: OLD_VAL = history_file (NEW_VAL)
     Query or set the internal variable that specifies the name of the file used to store command history.  The default value is `~/.octave_hist', but may be overridden by the environment variable `OCTAVE_HISTFILE'.  See also: history_size, saving_history, history_timestamp_format_string.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 101
Query or set the internal variable that specifies the name of the file used to store command history.

# name: <cell-element>
# type: string
# elements: 1
# length: 31
history_timestamp_format_string
# name: <cell-element>
# type: string
# elements: 1
# length: 493
 -- Built-in Function: VAL = history_timestamp_format_string ()
 -- Built-in Function: OLD_VAL = history_timestamp_format_string (NEW_VAL)
     Query or set the internal variable that specifies the format string for the comment line that is written to the history file when Octave exits.  The format string is passed to `strftime'.  The default value is

          "# Octave VERSION, %a %b %d %H:%M:%S %Y %Z <USER@HOST>"
     See also: strftime, history_file, history_size, saving_history.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 143
Query or set the internal variable that specifies the format string for the comment line that is written to the history file when Octave exits.

# name: <cell-element>
# type: string
# elements: 1
# length: 14
saving_history
# name: <cell-element>
# type: string
# elements: 1
# length: 310
 -- Built-in Function: VAL = saving_history ()
 -- Built-in Function: OLD_VAL = saving_history (NEW_VAL)
     Query or set the internal variable that controls whether commands entered on the command line are saved in the history file.  See also: history_file, history_size, history_timestamp_format_string.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 124
Query or set the internal variable that controls whether commands entered on the command line are saved in the history file.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
argv
# name: <cell-element>
# type: string
# elements: 1
# length: 504
 -- Built-in Function:  argv ()
     Return the command line arguments passed to Octave.  For example, if you invoked Octave using the command

          octave --no-line-editing --silent

     `argv' would return a cell array of strings with the elements `--no-line-editing' and `--silent'.

     If you write an executable Octave script, `argv' will return the list of arguments passed to the script.  *Note Executable Octave Programs::, for an example of how to create an executable Octave script.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 51
Return the command line arguments passed to Octave.

# name: <cell-element>
# type: string
# elements: 1
# length: 23
program_invocation_name
# name: <cell-element>
# type: string
# elements: 1
# length: 409
 -- Built-in Function: program_invocation_name ()
     Return the name that was typed at the shell prompt to run Octave.

     If executing a script from the command line (e.g., `octave foo.m') or using an executable Octave script, the program name is set to the name of the script.  *Note Executable Octave Programs::, for an example of how to create an executable Octave script.  See also: program_name.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 65
Return the name that was typed at the shell prompt to run Octave.

# name: <cell-element>
# type: string
# elements: 1
# length: 12
program_name
# name: <cell-element>
# type: string
# elements: 1
# length: 162
 -- Built-in Function:  program_name ()
     Return the last component of the value returned by `program_invocation_name'.  See also: program_invocation_name.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 77
Return the last component of the value returned by `program_invocation_name'.

# name: <cell-element>
# type: string
# elements: 1
# length: 18
sparse_auto_mutate
# name: <cell-element>
# type: string
# elements: 1
# length: 510
 -- Built-in Function: VAL = sparse_auto_mutate ()
 -- Built-in Function: OLD_VAL = sparse_auto_mutate (NEW_VAL)
     Query or set the internal variable that controls whether Octave will automatically mutate sparse matrices to real matrices to save memory.  For example,

          s = speye(3);
          sparse_auto_mutate (false)
          s (:, 1) = 1;
          typeinfo (s)
          => sparse matrix
          sparse_auto_mutate (true)
          s (1, :) = 1;
          typeinfo (s)
          => matrix

# name: <cell-element>
# type: string
# elements: 1
# length: 138
Query or set the internal variable that controls whether Octave will automatically mutate sparse matrices to real matrices to save memory.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
iscell
# name: <cell-element>
# type: string
# elements: 1
# length: 110
 -- Built-in Function:  iscell (X)
     Return true if X is a cell array object.  Otherwise, return false.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 40
Return true if X is a cell array object.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
cell
# name: <cell-element>
# type: string
# elements: 1
# length: 436
 -- Built-in Function:  cell (X)
 -- Built-in Function:  cell (N, M)
     Create a new cell array object.  If invoked with a single scalar argument, `cell' returns a square cell array with the dimension specified.  If you supply two scalar arguments, `cell' takes them to be the number of rows and columns.  If given a vector with two elements, `cell' uses the values of the elements as the number of rows and columns, respectively.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 31
Create a new cell array object.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
iscellstr
# name: <cell-element>
# type: string
# elements: 1
# length: 123
 -- Built-in Function:  iscellstr (CELL)
     Return true if every element of the cell array CELL is a character string
   
# name: <cell-element>
# type: string
# elements: 1
# length: 75
Return true if every element of the cell array CELL is a character string  

# name: <cell-element>
# type: string
# elements: 1
# length: 7
cellstr
# name: <cell-element>
# type: string
# elements: 1
# length: 126
 -- Built-in Function:  cellstr (STRING)
     Create a new cell array object from the elements of the string array STRING.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 76
Create a new cell array object from the elements of the string array STRING.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
struct2cell
# name: <cell-element>
# type: string
# elements: 1
# length: 288
 -- Built-in Function:  struct2cell (S)
     Create a new cell array from the objects stored in the struct object.  If F is the number of fields in the structure, the resulting cell array will have a dimension vector corresponding to `[F size(S)]'.  See also: cell2struct, fieldnames.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 69
Create a new cell array from the objects stored in the struct object.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
class
# name: <cell-element>
# type: string
# elements: 1
# length: 327
 -- Built-in Function:  class (EXPR)
 -- Built-in Function:  class (S, ID)
 -- Built-in Function:  class (S, ID, P, ...)
     Return the class of the expression EXPR or create a class with fields from structure S and name (string) ID.  Additional arguments name a list of parent classes from which the new class is derived.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 108
Return the class of the expression EXPR or create a class with fields from structure S and name (string) ID.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
isobject
# name: <cell-element>
# type: string
# elements: 1
# length: 81
 -- Built-in Function:  isobject (X)
     Return true if X is a class object.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 35
Return true if X is a class object.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
ismethod
# name: <cell-element>
# type: string
# elements: 1
# length: 137
 -- Built-in Function:  ismethod (X, METHOD)
     Return true if X is a class object and the string METHOD is a method of this class.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 83
Return true if X is a class object and the string METHOD is a method of this class.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
methods
# name: <cell-element>
# type: string
# elements: 1
# length: 183
 -- Built-in Function:  methods (X)
 -- Built-in Function:  methods ("classname")
     Return a cell array containing the names of the methods for the object X or the named class.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 92
Return a cell array containing the names of the methods for the object X or the named class.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
superiorto
# name: <cell-element>
# type: string
# elements: 1
# length: 305
 -- Built-in Function:  superiorto (CLASS_NAME, ...)
     When called from a class constructor, mark the object currently constructed as having a higher precedence than CLASS_NAME.  More that one such class can be specified in a single call.  This function may only be called from a class constructor.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 122
When called from a class constructor, mark the object currently constructed as having a higher precedence than CLASS_NAME.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
inferiorto
# name: <cell-element>
# type: string
# elements: 1
# length: 304
 -- Built-in Function:  inferiorto (CLASS_NAME, ...)
     When called from a class constructor, mark the object currently constructed as having a lower precedence than CLASS_NAME.  More that one such class can be specified in a single call.  This function may only be called from a class constructor.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 121
When called from a class constructor, mark the object currently constructed as having a lower precedence than CLASS_NAME.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
functions
# name: <cell-element>
# type: string
# elements: 1
# length: 132
 -- Built-in Function:  functions (FCN_HANDLE)
     Return a struct containing information about the function handle FCN_HANDLE.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 76
Return a struct containing information about the function handle FCN_HANDLE.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
func2str
# name: <cell-element>
# type: string
# elements: 1
# length: 152
 -- Built-in Function:  func2str (FCN_HANDLE)
     Return a string containing the name of the function referenced by the function handle FCN_HANDLE.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 97
Return a string containing the name of the function referenced by the function handle FCN_HANDLE.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
str2func
# name: <cell-element>
# type: string
# elements: 1
# length: 115
 -- Built-in Function:  str2func (FCN_NAME)
     Return a function handle constructed from the string FCN_NAME.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 62
Return a function handle constructed from the string FCN_NAME.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
inline
# name: <cell-element>
# type: string
# elements: 1
# length: 851
 -- Built-in Function:  inline (STR)
 -- Built-in Function:  inline (STR, ARG1, ...)
 -- Built-in Function:  inline (STR, N)
     Create an inline function from the character string STR.  If called with a single argument, the arguments of the generated function are extracted from the function itself.  The generated function arguments will then be in alphabetical order.  It should be noted that i, and j are ignored as arguments due to the ambiguity between their use as a variable or their use as an inbuilt constant.  All arguments followed by a parenthesis are considered to be functions.

     If the second and subsequent arguments are character strings, they are the names of the arguments of the function.

     If the second argument is an integer N, the arguments are `"x"', `"P1"', ..., `"PN"'.  See also: argnames, formula, vectorize.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 56
Create an inline function from the character string STR.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
formula
# name: <cell-element>
# type: string
# elements: 1
# length: 208
 -- Built-in Function:  formula (FUN)
     Return a character string representing the inline function FUN.  Note that `char (FUN)' is equivalent to `formula (FUN)'.  See also: argnames, inline, vectorize.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 63
Return a character string representing the inline function FUN.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
argnames
# name: <cell-element>
# type: string
# elements: 1
# length: 193
 -- Built-in Function:  argnames (FUN)
     Return a cell array of character strings containing the names of the arguments of the inline function FUN.  See also: inline, formula, vectorize.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 106
Return a cell array of character strings containing the names of the arguments of the inline function FUN.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
vectorize
# name: <cell-element>
# type: string
# elements: 1
# length: 173
 -- Built-in Function:  vectorize (FUN)
     Create a vectorized version of the inline function FUN by replacing all occurrences of `*', `/', etc., with `.*', `./', etc.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 101
Create a vectorized version of the inline function FUN by replacing all occurrences of `*', `/', etc.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
single
# name: <cell-element>
# type: string
# elements: 1
# length: 98
 -- Built-in Function:  single (X)
     Convert X to single precision type.  See also: double.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 35
Convert X to single precision type.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
int16
# name: <cell-element>
# type: string
# elements: 1
# length: 76
 -- Built-in Function:  int16 (X)
     Convert X to 16-bit integer type.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 33
Convert X to 16-bit integer type.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
int32
# name: <cell-element>
# type: string
# elements: 1
# length: 76
 -- Built-in Function:  int32 (X)
     Convert X to 32-bit integer type.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 33
Convert X to 32-bit integer type.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
int64
# name: <cell-element>
# type: string
# elements: 1
# length: 76
 -- Built-in Function:  int64 (X)
     Convert X to 64-bit integer type.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 33
Convert X to 64-bit integer type.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
int8
# name: <cell-element>
# type: string
# elements: 1
# length: 74
 -- Built-in Function:  int8 (X)
     Convert X to 8-bit integer type.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 32
Convert X to 8-bit integer type.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
list
# name: <cell-element>
# type: string
# elements: 1
# length: 119
 -- Built-in Function:  list (A1, A2, ...)
     Create a new list with elements given by the arguments A1, A2, ....
   
# name: <cell-element>
# type: string
# elements: 1
# length: 64
Create a new list with elements given by the arguments A1, A2, .

# name: <cell-element>
# type: string
# elements: 1
# length: 3
nth
# name: <cell-element>
# type: string
# elements: 1
# length: 79
 -- Built-in Function:  nth (LIST, N)
     Return the N-th element of LIST.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 32
Return the N-th element of LIST.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
append
# name: <cell-element>
# type: string
# elements: 1
# length: 429
 -- Built-in Function:  append (LIST, A1, A2, ...)
     Return a new list created by appending A1, A2, ..., to LIST.  If any of the arguments to be appended is a list, its elements are appended individually.  For example,

          x = list (1, 2);
          y = list (3, 4);
          append (x, y);

     results in the list containing the four elements `(1 2 3 4)', not a list containing the three elements `(1 2 (3 4))'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 48
Return a new list created by appending A1, A2, .

# name: <cell-element>
# type: string
# elements: 1
# length: 7
reverse
# name: <cell-element>
# type: string
# elements: 1
# length: 108
 -- Built-in Function:  reverse (LIST)
     Return a new list created by reversing the elements of LIST.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 60
Return a new list created by reversing the elements of LIST.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
splice
# name: <cell-element>
# type: string
# elements: 1
# length: 386
 -- Built-in Function:  splice (LIST_1, OFFSET, LENGTH, LIST_2)
     Replace LENGTH elements of LIST_1 beginning at OFFSET with the contents of LIST_2 (if any).  If LENGTH is omitted, all elements from OFFSET to the end of LIST_1 are replaced.  As a special case, if OFFSET is one greater than the length of LIST_1 and LENGTH is 0, splice is equivalent to `append (LIST_1, LIST_2)'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 91
Replace LENGTH elements of LIST_1 beginning at OFFSET with the contents of LIST_2 (if any).

# name: <cell-element>
# type: string
# elements: 1
# length: 6
isnull
# name: <cell-element>
# type: string
# elements: 1
# length: 492
 -- Built-in Function:  isnull (X)
     Return 1 if X is a special null matrix, string or single quoted string.  Indexed assignment with such a value as right-hand side should delete array elements.  This function should be used when overloading indexed assignment for user-defined classes instead of `isempty', to distinguish the cases:
    `A(I) = []'
          This should delete elements if `I' is nonempty.

    `X = []; A(I) = X'
          This should give an error if `I' is nonempty.

# name: <cell-element>
# type: string
# elements: 1
# length: 71
Return 1 if X is a special null matrix, string or single quoted string.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
double
# name: <cell-element>
# type: string
# elements: 1
# length: 98
 -- Built-in Function:  double (X)
     Convert X to double precision type.  See also: single.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 35
Convert X to double precision type.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
struct
# name: <cell-element>
# type: string
# elements: 1
# length: 509
 -- Built-in Function:  struct ("field", VALUE, "field", VALUE, ...)
     Create a structure and initialize its value.

     If the values are cell arrays, create a structure array and initialize its values.  The dimensions of each cell array of values must match.  Singleton cells and non-cell values are repeated so that they fill the entire array.  If the cells are empty, create an empty structure array with the specified field names.

     If the argument is an object, return the underlying struct.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 44
Create a structure and initialize its value.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
isstruct
# name: <cell-element>
# type: string
# elements: 1
# length: 109
 -- Built-in Function:  isstruct (EXPR)
     Return 1 if the value of the expression EXPR is a structure.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 60
Return 1 if the value of the expression EXPR is a structure.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
fieldnames
# name: <cell-element>
# type: string
# elements: 1
# length: 207
 -- Built-in Function:  fieldnames (STRUCT)
     Return a cell array of strings naming the elements of the structure STRUCT.  It is an error to call `fieldnames' with an argument that is not a structure.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 75
Return a cell array of strings naming the elements of the structure STRUCT.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
isfield
# name: <cell-element>
# type: string
# elements: 1
# length: 215
 -- Built-in Function:  isfield (EXPR, NAME)
     Return true if the expression EXPR is a structure and it includes an element named NAME.  The first argument must be a structure and the second must be a string.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 88
Return true if the expression EXPR is a structure and it includes an element named NAME.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
cell2struct
# name: <cell-element>
# type: string
# elements: 1
# length: 518
 -- Built-in Function:  cell2struct (CELL, FIELDS, DIM)
     Convert CELL to a structure.  The number of fields in FIELDS must match the number of elements in CELL along dimension DIM, that is `numel (FIELDS) == size (CELL, DIM)'.

          A = cell2struct ({'Peter', 'Hannah', 'Robert';
                             185, 170, 168},
                           {'Name','Height'}, 1);
          A(1)
          => ans =
                {
                  Height = 185
                  Name   = Peter
                }

# name: <cell-element>
# type: string
# elements: 1
# length: 28
Convert CELL to a structure.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
rmfield
# name: <cell-element>
# type: string
# elements: 1
# length: 215
 -- Built-in Function:  rmfield (S, F)
     Remove field F from the structure S.  If F is a cell array of character strings or a character array, remove the named fields.  See also: cellstr, iscellstr, setfield.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 36
Remove field F from the structure S.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
typeinfo
# name: <cell-element>
# type: string
# elements: 1
# length: 200
 -- Built-in Function:  typeinfo (EXPR)
     Return the type of the expression EXPR, as a string.  If EXPR is omitted, return an array of strings containing all the currently installed data types.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 52
Return the type of the expression EXPR, as a string.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
uint16
# name: <cell-element>
# type: string
# elements: 1
# length: 86
 -- Built-in Function:  uint16 (X)
     Convert X to unsigned 16-bit integer type.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 42
Convert X to unsigned 16-bit integer type.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
uint32
# name: <cell-element>
# type: string
# elements: 1
# length: 86
 -- Built-in Function:  uint32 (X)
     Convert X to unsigned 32-bit integer type.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 42
Convert X to unsigned 32-bit integer type.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
uint64
# name: <cell-element>
# type: string
# elements: 1
# length: 86
 -- Built-in Function:  uint64 (X)
     Convert X to unsigned 64-bit integer type.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 42
Convert X to unsigned 64-bit integer type.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
uint8
# name: <cell-element>
# type: string
# elements: 1
# length: 84
 -- Built-in Function:  uint8 (X)
     Convert X to unsigned 8-bit integer type.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 41
Convert X to unsigned 8-bit integer type.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
nargin
# name: <cell-element>
# type: string
# elements: 1
# length: 460
 -- Built-in Function:  nargin ()
 -- Built-in Function:  nargin (FCN_NAME)
     Within a function, return the number of arguments passed to the function.  At the top level, return the number of command line arguments passed to Octave.  If called with the optional argument FCN_NAME, return the maximum number of arguments the named function can accept, or -1 if the function accepts a variable number of arguments.  See also: nargout, varargin, varargout.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 73
Within a function, return the number of arguments passed to the function.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
nargout
# name: <cell-element>
# type: string
# elements: 1
# length: 622
 -- Built-in Function:  nargout ()
 -- Built-in Function:  nargout (FCN_NAME)
     Within a function, return the number of values the caller expects to receive.  If called with the optional argument FCN_NAME, return the maximum number of values the named function can produce, or -1 if the function can produce a variable number of values.

     For example,

          f ()

     will cause `nargout' to return 0 inside the function `f' and

          [s, t] = f ()

     will cause `nargout' to return 2 inside the function `f'.

     At the top level, `nargout' is undefined.  See also: nargin, varargin, varargout.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 77
Within a function, return the number of values the caller expects to receive.

# name: <cell-element>
# type: string
# elements: 1
# length: 19
max_recursion_depth
# name: <cell-element>
# type: string
# elements: 1
# length: 309
 -- Built-in Function: VAL = max_recursion_depth ()
 -- Built-in Function: OLD_VAL = max_recursion_depth (NEW_VAL)
     Query or set the internal limit on the number of times a function may be called recursively.  If the limit is exceeded, an error message is printed and control returns to the top level.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 92
Query or set the internal limit on the number of times a function may be called recursively.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
sizeof
# name: <cell-element>
# type: string
# elements: 1
# length: 77
 -- Built-in Function:  sizeof (VAL)
     Return the size of VAL in bytes
   
# name: <cell-element>
# type: string
# elements: 1
# length: 33
Return the size of VAL in bytes  

# name: <cell-element>
# type: string
# elements: 1
# length: 7
subsref
# name: <cell-element>
# type: string
# elements: 1
# length: 843
 -- Built-in Function:  subsref (VAL, IDX)
     Perform the subscripted element selection operation according to the subscript specified by IDX.

     The subscript IDX is expected to be a structure array with fields `type' and `subs'.  Valid values for `type' are `"()"', `"{}"', and `"."'.  The `subs' field may be either `":"' or a cell array of index values.

     The following example shows how to extract the two first columns of a matrix

          val = magic(3)
               => val = [ 8   1   6
                          3   5   7
                          4   9   2 ]
          idx.type = "()";
          idx.subs = {":", 1:2};
          subsref(val, idx)
               => [ 8   1
                    3   5
                    4   9 ]

     Note that this is the same as writing `val(:,1:2)'.  See also: subsasgn, substruct.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 96
Perform the subscripted element selection operation according to the subscript specified by IDX.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
subsasgn
# name: <cell-element>
# type: string
# elements: 1
# length: 765
 -- Built-in Function:  subsasgn (VAL, IDX, RHS)
     Perform the subscripted assignment operation according to the subscript specified by IDX.

     The subscript IDX is expected to be a structure array with fields `type' and `subs'.  Valid values for `type' are `"()"', `"{}"', and `"."'.  The `subs' field may be either `":"' or a cell array of index values.

     The following example shows how to set the two first columns of a 3-by-3 matrix to zero.

          val = magic(3);
          idx.type = "()";
          idx.subs = {":", 1:2};
          subsasgn (val, idx, 0)
               => [ 0   0   6
                    0   0   7
                    0   0   2 ]

     Note that this is the same as writing `val(:,1:2) = 0'.  See also: subsref, substruct.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 89
Perform the subscripted assignment operation according to the subscript specified by IDX.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
diary
# name: <cell-element>
# type: string
# elements: 1
# length: 479
 -- Command: diary options
     Record a list of all commands _and_ the output they produce, mixed together just as you see them on your terminal.  Valid options are:

    `on'
          Start recording your session in a file called `diary' in your current working directory.

    `off'
          Stop recording your session in the diary file.

    `FILE'
          Record your session in the file named FILE.

     With no arguments, `diary' toggles the current diary state.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 114
Record a list of all commands _and_ the output they produce, mixed together just as you see them on your terminal.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
more
# name: <cell-element>
# type: string
# elements: 1
# length: 222
 -- Command: more
 -- Command: more on
 -- Command: more off
     Turn output pagination on or off.  Without an argument, `more' toggles the current state.  The current state can be determined via `page_screen_output'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 33
Turn output pagination on or off.

# name: <cell-element>
# type: string
# elements: 1
# length: 13
terminal_size
# name: <cell-element>
# type: string
# elements: 1
# length: 194
 -- Built-in Function:  terminal_size ()
     Return a two-element row vector containing the current size of the terminal window in characters (rows and columns).  See also: list_in_columns.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 116
Return a two-element row vector containing the current size of the terminal window in characters (rows and columns).

# name: <cell-element>
# type: string
# elements: 1
# length: 23
page_output_immediately
# name: <cell-element>
# type: string
# elements: 1
# length: 359
 -- Built-in Function: VAL = page_output_immediately ()
 -- Built-in Function: VAL = page_output_immediately (NEW_VAL)
     Query or set the internal variable that controls whether Octave sends output to the pager as soon as it is available.  Otherwise, Octave buffers its output and waits until just before the prompt is printed to flush it to the pager.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 117
Query or set the internal variable that controls whether Octave sends output to the pager as soon as it is available.

# name: <cell-element>
# type: string
# elements: 1
# length: 18
page_screen_output
# name: <cell-element>
# type: string
# elements: 1
# length: 429
 -- Built-in Function: VAL = page_screen_output ()
 -- Built-in Function: OLD_VAL = page_screen_output (NEW_VAL)
     Query or set the internal variable that controls whether output intended for the terminal window that is longer than one page is sent through a pager.  This allows you to view one screenful at a time.  Some pagers (such as `less'--see *note Installation::) are also capable of moving backward on the output.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 150
Query or set the internal variable that controls whether output intended for the terminal window that is longer than one page is sent through a pager.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
PAGER
# name: <cell-element>
# type: string
# elements: 1
# length: 424
 -- Built-in Function: VAL = PAGER ()
 -- Built-in Function: OLD_VAL = PAGER (NEW_VAL)
     Query or set the internal variable that specifies the program to use to display terminal output on your system.  The default value is normally `"less"', `"more"', or `"pg"', depending on what programs are installed on your system.  *Note Installation::.  See also: more, page_screen_output, page_output_immediately, PAGER_FLAGS.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 111
Query or set the internal variable that specifies the program to use to display terminal output on your system.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
PAGER_FLAGS
# name: <cell-element>
# type: string
# elements: 1
# length: 209
 -- Built-in Function: VAL = PAGER_FLAGS ()
 -- Built-in Function: OLD_VAL = PAGER_FLAGS (NEW_VAL)
     Query or set the internal variable that specifies the options to pass to the pager.  See also: PAGER.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 83
Query or set the internal variable that specifies the options to pass to the pager.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
autoload
# name: <cell-element>
# type: string
# elements: 1
# length: 969
 -- Built-in Function:  autoload (FUNCTION, FILE)
     Define FUNCTION to autoload from FILE.

     The second argument, FILE, should be an absolute file name or a file name in the same directory as the function or script from which the autoload command was run.  FILE should not depend on the Octave load path.

     Normally, calls to `autoload' appear in PKG_ADD script files that are evaluated when a directory is added to the Octave's load path.  To avoid having to hardcode directory names in FILE, if FILE is in the same directory as the PKG_ADD script then

          autoload ("foo", "bar.oct");

     will load the function `foo' from the file `bar.oct'.  The above when `bar.oct' is not in the same directory or uses like

          autoload ("foo", file_in_loadpath ("bar.oct"))

     are strongly discouraged, as their behavior might be unpredictable.

     With no arguments, return a structure containing the current autoload map.  See also: PKG_ADD.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 38
Define FUNCTION to autoload from FILE.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
mfilename
# name: <cell-element>
# type: string
# elements: 1
# length: 441
 -- Built-in Function:  mfilename ()
 -- Built-in Function:  mfilename (`"fullpath"')
 -- Built-in Function:  mfilename (`"fullpathext"')
     Return the name of the currently executing file.  At the top-level, return the empty string.  Given the argument `"fullpath"', include the directory part of the file name, but not the extension.  Given the argument `"fullpathext"', include the directory part of the file name and the extension.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 48
Return the name of the currently executing file.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
source
# name: <cell-element>
# type: string
# elements: 1
# length: 201
 -- Built-in Function:  source (FILE)
     Parse and execute the contents of FILE.  This is equivalent to executing commands from a script file, but without requiring the file to be named `FILE.m'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 39
Parse and execute the contents of FILE.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
feval
# name: <cell-element>
# type: string
# elements: 1
# length: 666
 -- Built-in Function:  feval (NAME, ...)
     Evaluate the function named NAME.  Any arguments after the first are passed on to the named function.  For example,

          feval ("acos", -1)
               => 3.1416

     calls the function `acos' with the argument `-1'.

     The function `feval' is necessary in order to be able to write functions that call user-supplied functions, because Octave does not have a way to declare a pointer to a function (like C) or to declare a special kind of variable that can be used to hold the name of a function (like `EXTERNAL' in Fortran).  Instead, you must refer to functions by name, and use `feval' to call them.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 33
Evaluate the function named NAME.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
eval
# name: <cell-element>
# type: string
# elements: 1
# length: 724
 -- Built-in Function:  eval (TRY, CATCH)
     Parse the string TRY and evaluate it as if it were an Octave program.  If that fails, evaluate the optional string CATCH.  The string TRY is evaluated in the current context, so any results remain available after `eval' returns.

     The following example makes the variable A with the approximate value 3.1416 available.

          eval("a = acos(-1);");

     If an error occurs during the evaluation of TRY the CATCH string is evaluated, as the following example shows:

          eval ('error ("This is a bad example");',
                'printf ("This error occurred:\n%s\n", lasterr ());');
               -| This error occurred:
                  This is a bad example

# name: <cell-element>
# type: string
# elements: 1
# length: 69
Parse the string TRY and evaluate it as if it were an Octave program.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
assignin
# name: <cell-element>
# type: string
# elements: 1
# length: 155
 -- Built-in Function:  assignin (CONTEXT, VARNAME, VALUE)
     Assign VALUE to VARNAME in context CONTEXT, which may be either `"base"' or `"caller"'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 87
Assign VALUE to VARNAME in context CONTEXT, which may be either `"base"' or `"caller"'.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
evalin
# name: <cell-element>
# type: string
# elements: 1
# length: 184
 -- Built-in Function:  evalin (CONTEXT, TRY, CATCH)
     Like `eval', except that the expressions are evaluated in the context CONTEXT, which may be either `"caller"' or `"base"'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 122
Like `eval', except that the expressions are evaluated in the context CONTEXT, which may be either `"caller"' or `"base"'.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
pinv
# name: <cell-element>
# type: string
# elements: 1
# length: 300
 -- Loadable Function:  pinv (X, TOL)
     Return the pseudoinverse of X.  Singular values less than TOL are ignored.

     If the second argument is omitted, it is assumed that

          tol = max (size (X)) * sigma_max (X) * eps,

     where `sigma_max (X)' is the maximal singular value of X.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 30
Return the pseudoinverse of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
rats
# name: <cell-element>
# type: string
# elements: 1
# length: 385
 -- Built-in Function:  rats (X, LEN)
     Convert X into a rational approximation represented as a string.  You can convert the string back into a matrix as follows:

             r = rats(hilb(4));
             x = str2num(r)

     The optional second argument defines the maximum length of the string representing the elements of X.  By default LEN is 9.  See also: format, rat.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 64
Convert X into a rational approximation represented as a string.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
disp
# name: <cell-element>
# type: string
# elements: 1
# length: 386
 -- Built-in Function:  disp (X)
     Display the value of X.  For example,

          disp ("The value of pi is:"), disp (pi)

               -| the value of pi is:
               -| 3.1416

     Note that the output from `disp' always ends with a newline.

     If an output value is requested, `disp' prints nothing and returns the formatted output in a string.  See also: fdisp.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 23
Display the value of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
fdisp
# name: <cell-element>
# type: string
# elements: 1
# length: 321
 -- Built-in Function:  fdisp (FID, X)
     Display the value of X on the stream FID.  For example,

          fdisp (stdout, "The value of pi is:"), fdisp (stdout, pi)

               -| the value of pi is:
               -| 3.1416

     Note that the output from `fdisp' always ends with a newline.  See also: disp.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 41
Display the value of X on the stream FID.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
format
# name: <cell-element>
# type: string
# elements: 1
# length: 4769
 -- Command: format
 -- Command: format options
     Reset or specify the format of the output produced by `disp' and Octave's normal echoing mechanism.  This command only affects the display of numbers but not how they are stored or computed.  To change the internal representation from the default double use one of the conversion functions such as `single', `uint8', `int64', etc.

     By default, Octave displays 5 significant digits in a human readable form (option `short' paired with `loose' format for matrices).  If `format' is invoked without any options, this default format is restored.

     Valid formats for floating point numbers are listed in the following table.

    `short'
          Fixed point format with 5 significant figures in a field that is a maximum of 10 characters wide.  (default).

          If Octave is unable to format a matrix so that columns line up on the decimal point and all numbers fit within the maximum field width then it switches to an exponential `e' format.

    `long'
          Fixed point format with 15 significant figures in a field that is a maximum of 20 characters wide.

          As with the `short' format, Octave will switch to an exponential `e' format if it is unable to format a matrix properly using the current format.

    `short e'
    `long e'
          Exponential format.  The number to be represented is split between a mantissa and an exponent (power of 10).  The mantissa has 5 significant digits in the short format and 15 digits in the long format.  For example, with the `short e' format, `pi' is displayed as `3.1416e+00'.

    `short E'
    `long E'
          Identical to `short e' or `long e' but displays an uppercase `E' to indicate the exponent.  For example, with the `long E' format, `pi' is displayed as `3.14159265358979E+00'.

    `short g'
    `long g'
          Optimally choose between fixed point and exponential format based on the magnitude of the number.  For example, with the `short g' format, `pi .^ [2; 4; 8; 16; 32]' is displayed as

               ans =

                     9.8696
                     97.409
                     9488.5
                 9.0032e+07
                 8.1058e+15

    `long G'
    `short G'
          Identical to `short g' or `long g' but displays an uppercase `E' to indicate the exponent.

    `free'
    `none'
          Print output in free format, without trying to line up columns of matrices on the decimal point.  This also causes complex numbers to be formatted as numeric pairs like this `(0.60419, 0.60709)' instead of like this `0.60419 + 0.60709i'.

     The following formats affect all numeric output (floating point and integer types).

    `+'
    `+ CHARS'
    `plus'
    `plus CHARS'
          Print a `+' symbol for nonzero matrix elements and a space for zero matrix elements.  This format can be very useful for examining the structure of a large sparse matrix.

          The optional argument CHARS specifies a list of 3 characters to use for printing values greater than zero, less than zero and equal to zero.  For example, with the `+ "+-."' format, `[1, 0, -1; -1, 0, 1]' is displayed as

               ans =

               +.-
               -.+

    `bank'
          Print in a fixed format with two digits to the right of the decimal point.

    `native-hex'
          Print the hexadecimal representation of numbers as they are stored in memory.  For example, on a workstation which stores 8 byte real values in IEEE format with the least significant byte first, the value of `pi' when printed in `native-hex' format is `400921fb54442d18'.

    `hex'
          The same as `native-hex', but always print the most significant byte first.

    `native-bit'
          Print the bit representation of numbers as stored in memory.  For example, the value of `pi' is

               01000000000010010010000111111011
               01010100010001000010110100011000

          (shown here in two 32 bit sections for typesetting purposes) when printed in native-bit format on a workstation which stores 8 byte real values in IEEE format with the least significant byte first.

    `bit'
          The same as `native-bit', but always print the most significant bits first.

    `rat'
          Print a rational approximation, i.e., values are approximated as the ratio of small integers.  For example, with the `rat' format, `pi' is displayed as `355/113'.

     The following two options affect the display of all matrices.

    `compact'
          Remove extra blank space around column number labels producing more compact output with more data per page.

    `loose'
          Insert blank lines above and below column number labels to produce a more readable output with less data per page.  (default).

# name: <cell-element>
# type: string
# elements: 1
# length: 99
Reset or specify the format of the output produced by `disp' and Octave's normal echoing mechanism.

# name: <cell-element>
# type: string
# elements: 1
# length: 18
fixed_point_format
# name: <cell-element>
# type: string
# elements: 1
# length: 732
 -- Built-in Function: VAL = fixed_point_format ()
 -- Built-in Function: OLD_VAL = fixed_point_format (NEW_VAL)
     Query or set the internal variable that controls whether Octave will use a scaled format to print matrix values such that the largest element may be written with a single leading digit with the scaling factor is printed on the first line of output.  For example,

          octave:1> logspace (1, 7, 5)'
          ans =

            1.0e+07  *

            0.00000
            0.00003
            0.00100
            0.03162
            1.00000

     Notice that first value appears to be zero when it is actually 1.  For this reason, you should be careful when setting `fixed_point_format' to a nonzero value.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 248
Query or set the internal variable that controls whether Octave will use a scaled format to print matrix values such that the largest element may be written with a single leading digit with the scaling factor is printed on the first line of output.

# name: <cell-element>
# type: string
# elements: 1
# length: 22
print_empty_dimensions
# name: <cell-element>
# type: string
# elements: 1
# length: 365
 -- Built-in Function: VAL = print_empty_dimensions ()
 -- Built-in Function: OLD_VAL = print_empty_dimensions (NEW_VAL)
     Query or set the internal variable that controls whether the dimensions of empty matrices are printed along with the empty matrix symbol, `[]'.  For example, the expression

          zeros (3, 0)

     will print

          ans = [](3x0)

# name: <cell-element>
# type: string
# elements: 1
# length: 143
Query or set the internal variable that controls whether the dimensions of empty matrices are printed along with the empty matrix symbol, `[]'.

# name: <cell-element>
# type: string
# elements: 1
# length: 15
split_long_rows
# name: <cell-element>
# type: string
# elements: 1
# length: 846
 -- Built-in Function: VAL = split_long_rows ()
 -- Built-in Function: OLD_VAL = split_long_rows (NEW_VAL)
     Query or set the internal variable that controls whether rows of a matrix may be split when displayed to a terminal window.  If the rows are split, Octave will display the matrix in a series of smaller pieces, each of which can fit within the limits of your terminal width and each set of rows is labeled so that you can easily see which columns are currently being displayed.  For example:

          octave:13> rand (2,10)
          ans =

           Columns 1 through 6:

            0.75883  0.93290  0.40064  0.43818  0.94958  0.16467
            0.75697  0.51942  0.40031  0.61784  0.92309  0.40201

           Columns 7 through 10:

            0.90174  0.11854  0.72313  0.73326
            0.44672  0.94303  0.56564  0.82150

# name: <cell-element>
# type: string
# elements: 1
# length: 123
Query or set the internal variable that controls whether rows of a matrix may be split when displayed to a terminal window.

# name: <cell-element>
# type: string
# elements: 1
# length: 22
output_max_field_width
# name: <cell-element>
# type: string
# elements: 1
# length: 261
 -- Built-in Function: VAL = output_max_field_width ()
 -- Built-in Function: OLD_VAL = output_max_field_width (NEW_VAL)
     Query or set the internal variable that specifies the maximum width of a numeric output field.  See also: format, output_precision.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 94
Query or set the internal variable that specifies the maximum width of a numeric output field.

# name: <cell-element>
# type: string
# elements: 1
# length: 16
output_precision
# name: <cell-element>
# type: string
# elements: 1
# length: 283
 -- Built-in Function: VAL = output_precision ()
 -- Built-in Function: OLD_VAL = output_precision (NEW_VAL)
     Query or set the internal variable that specifies the minimum number of significant figures to display for numeric output.  See also: format, output_max_field_width.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 122
Query or set the internal variable that specifies the minimum number of significant figures to display for numeric output.

# name: <cell-element>
# type: string
# elements: 1
# length: 22
struct_levels_to_print
# name: <cell-element>
# type: string
# elements: 1
# length: 222
 -- Built-in Function: VAL = struct_levels_to_print ()
 -- Built-in Function: OLD_VAL = struct_levels_to_print (NEW_VAL)
     Query or set the internal variable that specifies the number of structure levels to display.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 92
Query or set the internal variable that specifies the number of structure levels to display.

# name: <cell-element>
# type: string
# elements: 1
# length: 16
silent_functions
# name: <cell-element>
# type: string
# elements: 1
# length: 382
 -- Built-in Function: VAL = silent_functions ()
 -- Built-in Function: OLD_VAL = silent_functions (NEW_VAL)
     Query or set the internal variable that controls whether internal output from a function is suppressed.  If this option is disabled, Octave will display the results produced by evaluating expressions within a function body that are not terminated with a semicolon.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 103
Query or set the internal variable that controls whether internal output from a function is suppressed.

# name: <cell-element>
# type: string
# elements: 1
# length: 16
string_fill_char
# name: <cell-element>
# type: string
# elements: 1
# length: 463
 -- Built-in Function: VAL = string_fill_char ()
 -- Built-in Function: OLD_VAL = string_fill_char (NEW_VAL)
     Query or set the internal variable used to pad all rows of a character matrix to the same length.  It must be a single character.  The default value is `" "' (a single space).  For example,

          string_fill_char ("X");
          [ "these"; "are"; "strings" ]
               => "theseXX"
                  "areXXXX"
                  "strings"

# name: <cell-element>
# type: string
# elements: 1
# length: 97
Query or set the internal variable used to pad all rows of a character matrix to the same length.

# name: <cell-element>
# type: string
# elements: 1
# length: 2
qr
# name: <cell-element>
# type: string
# elements: 1
# length: 2115
 -- Loadable Function: [Q, R, P] = qr (A)
 -- Loadable Function: [Q, R, P] = qr (A, '0')
     Compute the QR factorization of A, using standard LAPACK subroutines.  For example, given the matrix `a = [1, 2; 3, 4]',

          [q, r] = qr (a)

     returns

          q =

            -0.31623  -0.94868
            -0.94868   0.31623

          r =

            -3.16228  -4.42719
             0.00000  -0.63246

     The `qr' factorization has applications in the solution of least squares problems

          `min norm(A x - b)'

     for overdetermined systems of equations (i.e., `a'  is a tall, thin matrix).  The QR factorization is `q * r = a' where `q' is an orthogonal matrix and `r' is upper triangular.

     If given a second argument of '0', `qr' returns an economy-sized QR factorization, omitting zero rows of R and the corresponding columns of Q.

     If the matrix A is full, the permuted QR factorization `[Q, R, P] = qr (A)' forms the QR factorization such that the diagonal entries of `r' are decreasing in magnitude order.  For example,given the matrix `a = [1, 2; 3, 4]',

          [q, r, p] = qr(a)

     returns

          q =

            -0.44721  -0.89443
            -0.89443   0.44721

          r =

            -4.47214  -3.13050
             0.00000   0.44721

          p =

             0  1
             1  0

     The permuted `qr' factorization `[q, r, p] = qr (a)' factorization allows the construction of an orthogonal basis of `span (a)'.

     If the matrix A is sparse, then compute the sparse QR factorization of A, using CSPARSE.  As the matrix Q is in general a full matrix, this function returns the Q-less factorization R of A, such that `R = chol (A' * A)'.

     If the final argument is the scalar `0' and the number of rows is larger than the number of columns, then an economy factorization is returned.  That is R will have only `size (A,1)' rows.

     If an additional matrix B is supplied, then `qr' returns C, where `C = Q' * B'.  This allows the least squares approximation of `A \ B' to be calculated as

          [C,R] = spqr (A,B)
          X = R \ C

# name: <cell-element>
# type: string
# elements: 1
# length: 69
Compute the QR factorization of A, using standard LAPACK subroutines.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
qrupdate
# name: <cell-element>
# type: string
# elements: 1
# length: 629
 -- Loadable Function: [Q1, R1] = qrupdate (Q, R, U, V)
     Given a QR factorization of a real or complex matrix A = Q*R, Q unitary and R upper trapezoidal, return the QR factorization of A + U*V', where U and V are column vectors (rank-1 update) or matrices with equal number of columns (rank-k update).  Notice that the latter case is done as a sequence of rank-1 updates; thus, for k large enough, it will be both faster and more accurate to recompute the factorization from scratch.

     The QR factorization supplied may be either full (Q is square) or economized (R is square).

     See also: qr, qrinsert, qrdelete.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 244
Given a QR factorization of a real or complex matrix A = Q*R, Q unitary and R upper trapezoidal, return the QR factorization of A + U*V', where U and V are column vectors (rank-1 update) or matrices with equal number of columns (rank-k update).

# name: <cell-element>
# type: string
# elements: 1
# length: 8
qrinsert
# name: <cell-element>
# type: string
# elements: 1
# length: 1020
 -- Loadable Function: [Q1, R1] = qrinsert (Q, R, J, X, ORIENT)
     Given a QR factorization of a real or complex matrix A = Q*R, Q unitary and R upper trapezoidal, return the QR factorization of [A(:,1:j-1) x A(:,j:n)], where U is a column vector to be inserted into A (if ORIENT is `"col"'), or the QR factorization of [A(1:j-1,:);x;A(:,j:n)], where X is a row vector to be inserted into A (if ORIENT is `"row"').

     The default value of ORIENT is `"col"'.  If ORIENT is `"col"', U may be a matrix and J an index vector resulting in the QR factorization of a matrix B such that B(:,J) gives U and B(:,J) = [] gives A.  Notice that the latter case is done as a sequence of k insertions; thus, for k large enough, it will be both faster and more accurate to recompute the factorization from scratch.

     If ORIENT is `"col"', the QR factorization supplied may be either full (Q is square) or economized (R is square).

     If ORIENT is `"row"', full factorization is needed.  See also: qr, qrupdate, qrdelete.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 347
Given a QR factorization of a real or complex matrix A = Q*R, Q unitary and R upper trapezoidal, return the QR factorization of [A(:,1:j-1) x A(:,j:n)], where U is a column vector to be inserted into A (if ORIENT is `"col"'), or the QR factorization of [A(1:j-1,:);x;A(:,j:n)], where X is a row vector to be inserted into A (if ORIENT is `"row"').

# name: <cell-element>
# type: string
# elements: 1
# length: 8
qrdelete
# name: <cell-element>
# type: string
# elements: 1
# length: 947
 -- Loadable Function: [Q1, R1] = qrdelete (Q, R, J, ORIENT)
     Given a QR factorization of a real or complex matrix A = Q*R, Q unitary and R upper trapezoidal, return the QR factorization of [A(:,1:j-1) A(:,j+1:n)], i.e., A with one column deleted (if ORIENT is "col"), or the QR factorization of [A(1:j-1,:);A(:,j+1:n)], i.e., A with one row deleted (if ORIENT is "row").

     The default value of ORIENT is "col".

     If ORIENT is `"col"', J may be an index vector resulting in the QR factorization of a matrix B such that A(:,J) = [] gives B.  Notice that the latter case is done as a sequence of k deletions; thus, for k large enough, it will be both faster and more accurate to recompute the factorization from scratch.

     If ORIENT is `"col"', the QR factorization supplied may be either full (Q is square) or economized (R is square).

     If ORIENT is `"row"', full factorization is needed.  See also: qr, qrinsert, qrupdate.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 155
Given a QR factorization of a real or complex matrix A = Q*R, Q unitary and R upper trapezoidal, return the QR factorization of [A(:,1:j-1) A(:,j+1:n)], i.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
qrshift
# name: <cell-element>
# type: string
# elements: 1
# length: 374
 -- Loadable Function: [Q1, R1] = qrshift (Q, R, I, J)
     Given a QR factorization of a real or complex matrix A = Q*R, Q unitary and R upper trapezoidal, return the QR factorization of A(:,p), where p is the permutation
     `p = [1:i-1, shift(i:j, 1), j+1:n]' if I < J
     or
     `p = [1:j-1, shift(j:i,-1), i+1:n]' if J < I.
     See also: qr, qrinsert, qrdelete.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 259
Given a QR factorization of a real or complex matrix A = Q*R, Q unitary and R upper trapezoidal, return the QR factorization of A(:,p), where p is the permutation  `p = [1:i-1, shift(i:j, 1), j+1:n]' if I < J  or  `p = [1:j-1, shift(j:i,-1), i+1:n]' if J < I.

# name: <cell-element>
# type: string
# elements: 1
# length: 12
quad_options
# name: <cell-element>
# type: string
# elements: 1
# length: 1023
 -- Loadable Function:  quad_options (OPT, VAL)
     When called with two arguments, this function allows you set options parameters for the function `quad'.  Given one argument, `quad_options' returns the value of the corresponding option.  If no arguments are supplied, the names of all the available options and their current values are displayed.

     Options include

    `"absolute tolerance"'
          Absolute tolerance; may be zero for pure relative error test.

    `"relative tolerance"'
          Nonnegative relative tolerance.  If the absolute tolerance is zero, the relative tolerance must be greater than or equal to `max (50*eps, 0.5e-28)'.

    `"single precision absolute tolerance"'
          Absolute tolerance for single precision; may be zero for pure relative error test.

    `"single precision relative tolerance"'
          Nonnegative relative tolerance for single precision.  If the absolute tolerance is zero, the relative tolerance must be greater than or equal to `max (50*eps, 0.5e-28)'.

# name: <cell-element>
# type: string
# elements: 1
# length: 104
When called with two arguments, this function allows you set options parameters for the function `quad'.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
quad
# name: <cell-element>
# type: string
# elements: 1
# length: 1366
 -- Loadable Function: [V, IER, NFUN, ERR] = quad (F, A, B, TOL, SING)
     Integrate a nonlinear function of one variable using Quadpack.  The first argument is the name of the function, the function handle or the inline function to call to compute the value of the integrand.  It must have the form

          y = f (x)

     where Y and X are scalars.

     The second and third arguments are limits of integration.  Either or both may be infinite.

     The optional argument TOL is a vector that specifies the desired accuracy of the result.  The first element of the vector is the desired absolute tolerance, and the second element is the desired relative tolerance.  To choose a relative test only, set the absolute tolerance to zero.  To choose an absolute test only, set the relative tolerance to zero.

     The optional argument SING is a vector of values at which the integrand is known to be singular.

     The result of the integration is returned in V and IER contains an integer error code (0 indicates a successful integration).  The value of NFUN indicates how many function evaluations were required, and ERR contains an estimate of the error in the solution.

     You can use the function `quad_options' to set optional parameters for `quad'.

     It should be noted that since `quad' is written in Fortran it cannot be called recursively.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 62
Integrate a nonlinear function of one variable using Quadpack.

# name: <cell-element>
# type: string
# elements: 1
# length: 2
qz
# name: <cell-element>
# type: string
# elements: 1
# length: 1734
 -- Loadable Function: LAMBDA = qz (A, B)
     Generalized eigenvalue problem A x = s B x, QZ decomposition.  There are three ways to call this function:
       1. `lambda = qz(A,B)'

          Computes the generalized eigenvalues LAMBDA of (A - s B).

       2. `[AA, BB, Q, Z, V, W, lambda] = qz (A, B)'

          Computes qz decomposition, generalized eigenvectors, and generalized eigenvalues of (A - sB)

                   A*V = B*V*diag(lambda)
                   W'*A = diag(lambda)*W'*B
                   AA = Q'*A*Z, BB = Q'*B*Z
          with Q and Z orthogonal (unitary)= I

       3. `[AA,BB,Z{, lambda}] = qz(A,B,opt)'

          As in form [2], but allows ordering of generalized eigenpairs for (e.g.) solution of discrete time algebraic Riccati equations.  Form 3 is not available for complex matrices, and does not compute the generalized eigenvectors V, W, nor the orthogonal matrix Q.
         OPT
               for ordering eigenvalues of the GEP pencil.  The leading block of the revised pencil contains all eigenvalues that satisfy:
              `"N"'
                    = unordered (default)

              `"S"'
                    = small: leading block has all |lambda| <=1

              `"B"'
                    = big: leading block has all |lambda| >= 1

              `"-"'
                    = negative real part: leading block has all eigenvalues in the open left half-plane

              `"+"'
                    = non-negative real part: leading block has all eigenvalues in the closed right half-plane

     Note: qz performs permutation balancing, but not scaling (see balance).  Order of output arguments was selected for compatibility with MATLAB

     See also: balance, eig, schur.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 61
Generalized eigenvalue problem A x = s B x, QZ decomposition.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
rand
# name: <cell-element>
# type: string
# elements: 1
# length: 2365
 -- Loadable Function:  rand (X)
 -- Loadable Function:  rand (N, M)
 -- Loadable Function:  rand ("state", X)
 -- Loadable Function:  rand ("seed", X)
     Return a matrix with random elements uniformly distributed on the interval (0, 1).  The arguments are handled the same as the arguments for `eye'.

     You can query the state of the random number generator using the form

          v = rand ("state")

     This returns a column vector V of length 625.  Later, you can restore the random number generator to the state V using the form

          rand ("state", v)

     You may also initialize the state vector from an arbitrary vector of length <= 625 for V.  This new state will be a hash based on the value of V, not V itself.

     By default, the generator is initialized from `/dev/urandom' if it is available, otherwise from cpu time, wall clock time and the current fraction of a second.

     To compute the pseudo-random sequence, `rand' uses the Mersenne Twister with a period of 2^19937-1 (See M. Matsumoto and T. Nishimura, `Mersenne Twister: A 623-dimensionally equidistributed uniform pseudorandom number generator', ACM Trans. on Modeling and Computer Simulation Vol. 8, No. 1, January pp.3-30 1998, `http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/emt.html').  Do *not* use for cryptography without securely hashing several returned values together, otherwise the generator state can be learned after reading 624 consecutive values.

     Older versions of Octave used a different random number generator.  The new generator is used by default as it is significantly faster than the old generator, and produces random numbers with a significantly longer cycle time.  However, in some circumstances it might be desirable to obtain the same random sequences as used by the old generators.  To do this the keyword "seed" is used to specify that the old generators should be use, as in

          rand ("seed", val)

     which sets the seed of the generator to VAL.  The seed of the generator can be queried with

          s = rand ("seed")

     However, it should be noted that querying the seed will not cause `rand' to use the old generators, only setting the seed will.  To cause `rand' to once again use the new generators, the keyword "state" should be used to reset the state of the `rand'.  See also: randn, rande, randg, randp.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 82
Return a matrix with random elements uniformly distributed on the interval (0, 1).

# name: <cell-element>
# type: string
# elements: 1
# length: 5
randn
# name: <cell-element>
# type: string
# elements: 1
# length: 659
 -- Loadable Function:  randn (X)
 -- Loadable Function:  randn (N, M)
 -- Loadable Function:  randn ("state", X)
 -- Loadable Function:  randn ("seed", X)
     Return a matrix with normally distributed pseudo-random elements having zero mean and variance one.  The arguments are handled the same as the arguments for `rand'.

     By default, `randn' uses the Marsaglia and Tsang "Ziggurat technique" to transform from a uniform to a normal distribution.  (G. Marsaglia and W.W. Tsang, `Ziggurat method for generating random variables', J. Statistical Software, vol 5, 2000, `http://www.jstatsoft.org/v05/i08/')

     See also: rand, rande, randg, randp.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 99
Return a matrix with normally distributed pseudo-random elements having zero mean and variance one.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
rande
# name: <cell-element>
# type: string
# elements: 1
# length: 622
 -- Loadable Function:  rande (X)
 -- Loadable Function:  rande (N, M)
 -- Loadable Function:  rande ("state", X)
 -- Loadable Function:  rande ("seed", X)
     Return a matrix with exponentially distributed random elements.  The arguments are handled the same as the arguments for `rand'.

     By default, `randn' uses the Marsaglia and Tsang "Ziggurat technique" to transform from a uniform to a exponential distribution.  (G. Marsaglia and W.W. Tsang, `Ziggurat method for generating random variables', J. Statistical Software, vol 5, 2000, `http://www.jstatsoft.org/v05/i08/') See also: rand, randn, randg, randp.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 63
Return a matrix with exponentially distributed random elements.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
randg
# name: <cell-element>
# type: string
# elements: 1
# length: 1559
 -- Loadable Function:  randg (A, X)
 -- Loadable Function:  randg (A, N, M)
 -- Loadable Function:  randg ("state", X)
 -- Loadable Function:  randg ("seed", X)
     Return a matrix with `gamma(A,1)' distributed random elements.  The arguments are handled the same as the arguments for `rand', except for the argument A.

     This can be used to generate many distributions:

    `gamma (a, b)' for `a > -1', `b > 0'
               r = b * randg (a)

    `beta (a, b)' for `a > -1', `b > -1'
               r1 = randg (a, 1)
               r = r1 / (r1 + randg (b, 1))

    `Erlang (a, n)'
               r = a * randg (n)

    `chisq (df)' for `df > 0'
               r = 2 * randg (df / 2)

    `t(df)' for `0 < df < inf' (use randn if df is infinite)
               r = randn () / sqrt (2 * randg (df / 2) / df)

    `F (n1, n2)' for `0 < n1', `0 < n2'
               ## r1 equals 1 if n1 is infinite
               r1 = 2 * randg (n1 / 2) / n1
               ## r2 equals 1 if n2 is infinite
               r2 = 2 * randg (n2 / 2) / n2
               r = r1 / r2

    negative `binomial (n, p)' for `n > 0', `0 < p <= 1'
               r = randp ((1 - p) / p * randg (n))

    non-central `chisq (df, L)', for `df >= 0' and `L > 0'
          (use chisq if `L = 0')
               r = randp (L / 2)
               r(r > 0) = 2 * randg (r(r > 0))
               r(df > 0) += 2 * randg (df(df > 0)/2)

    `Dirichlet (a1, ... ak)'
               r = (randg (a1), ..., randg (ak))
               r = r / sum (r)
     See also: rand, randn, rande, randp.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 62
Return a matrix with `gamma(A,1)' distributed random elements.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
randp
# name: <cell-element>
# type: string
# elements: 1
# length: 1350
 -- Loadable Function:  randp (L, X)
 -- Loadable Function:  randp (L, N, M)
 -- Loadable Function:  randp ("state", X)
 -- Loadable Function:  randp ("seed", X)
     Return a matrix with Poisson distributed random elements with mean value parameter given by the first argument, L.  The arguments are handled the same as the arguments for `rand', except for the argument L.

     Five different algorithms are used depending on the range of L and whether or not L is a scalar or a matrix.

    For scalar L <= 12, use direct method.
          Press, et al., 'Numerical Recipes in C', Cambridge University Press, 1992.

    For scalar L > 12, use rejection method.[1]
          Press, et al., 'Numerical Recipes in C', Cambridge University Press, 1992.

    For matrix L <= 10, use inversion method.[2]
          Stadlober E., et al., WinRand source code, available via FTP.

    For matrix L > 10, use patchwork rejection method.
          Stadlober E., et al., WinRand source code, available via FTP, or H. Zechner, 'Efficient sampling from continuous and discrete unimodal distributions', Doctoral Dissertation, 156pp., Technical University Graz, Austria, 1994.

    For L > 1e8, use normal approximation.
          L. Montanet, et al., 'Review of Particle Properties', Physical Review D 50 p1284, 1994
     See also: rand, randn, rande, randg.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 114
Return a matrix with Poisson distributed random elements with mean value parameter given by the first argument, L.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
rcond
# name: <cell-element>
# type: string
# elements: 1
# length: 392
 -- Loadable Function: C = rcond (A)
     Compute the 1-norm estimate of the reciprocal condition as returned by LAPACK.  If the matrix is well-conditioned then C will be near 1 and if the matrix is poorly conditioned it will be close to zero.

     The matrix A must not be sparse.  If the matrix is sparse then `condest (A)' or `rcond (full (A))' should be used instead.  See also: inv.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 78
Compute the 1-norm estimate of the reciprocal condition as returned by LAPACK.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
regexp
# name: <cell-element>
# type: string
# elements: 1
# length: 8476
 -- Loadable Function: [S, E, TE, M, T, NM] = regexp (STR, PAT)
 -- Loadable Function: [...] = regexp (STR, PAT, OPTS, ...)
     Regular expression string matching.  Matches PAT in STR and returns the position and matching substrings or empty values if there are none.

     The matched pattern PAT can include any of the standard regex operators, including:

    `.'
          Match any character

    `* + ? {}'
          Repetition operators, representing
         `*'
               Match zero or more times

         `+'
               Match one or more times

         `?'
               Match zero or one times

         `{}'
               Match range operator, which is of the form `{N}' to match exactly N times, `{M,}' to match M or more times, `{M,N}' to match between M and N times.

    `[...] [^...]'
          List operators, where for example `[ab]c' matches `ac' and `bc'

    `()'
          Grouping operator

    `|'
          Alternation operator.  Match one of a choice of regular expressions.  The alternatives must be delimited by the grouping operator `()' above

    `^ $'
          Anchoring operator.  `^' matches the start of the string STR and `$' the end

     In addition the following escaped characters have special meaning.  It should be noted that it is recommended to quote PAT in single quotes rather than double quotes, to avoid the escape sequences being interpreted by Octave before being passed to `regexp'.

    `\b'
          Match a word boundary

    `\B'
          Match within a word

    `\w'
          Matches any word character

    `\W'
          Matches any non word character

    `\<'
          Matches the beginning of a word

    `\>'
          Matches the end of a word

    `\s'
          Matches any whitespace character

    `\S'
          Matches any non whitespace character

    `\d'
          Matches any digit

    `\D'
          Matches any non-digit

     The outputs of `regexp' by default are in the order as given below

    S
          The start indices of each of the matching substrings

    E
          The end indices of each matching substring

    TE
          The extents of each of the matched token surrounded by `(...)' in PAT.

    M
          A cell array of the text of each match.

    T
          A cell array of the text of each token matched.

    NM
          A structure containing the text of each matched named token, with the name being used as the fieldname.  A named token is denoted as `(?<name>...)'

     Particular output arguments or the order of the output arguments can be selected by additional OPTS arguments.  These are strings and the correspondence between the output arguments and the optional argument are

                                                                                                                                                                                                                  'start'                                                                                                                                                                                                                                                                                                            S                                                                                                                                                                                                                                                                                                                  
                                                                                                                                                                                                                  'end'                                                                                                                                                                                                                                                                                                              E                                                                                                                                                                                                                                                                                                                  
                                                                                                                                                                                                                  'tokenExtents'                                                                                                                                                                                                                                                                                                     TE                                                                                                                                                                                                                                                                                                                 
                                                                                                                                                                                                                  'match'                                                                                                                                                                                                                                                                                                            M                                                                                                                                                                                                                                                                                                                  
                                                                                                                                                                                                                  'tokens'                                                                                                                                                                                                                                                                                                           T                                                                                                                                                                                                                                                                                                                  
                                                                                                                                                                                                                  'names'                                                                                                                                                                                                                                                                                                            NM                                                                                                                                                                                                                                                                                                                 

     A further optional argument is 'once', that limits the number of returned matches to the first match.  Additional arguments are

    matchcase
          Make the matching case sensitive.

    ignorecase
          Make the matching case insensitive.

    stringanchors
          Match the anchor characters at the beginning and end of the string.

    lineanchors
          Match the anchor characters at the beginning and end of the line.

    dotall
          The character `.' matches the newline character.

    dotexceptnewline
          The character `.' matches all but the newline character.

    freespacing
          The pattern can include arbitrary whitespace and comments starting with `#'.

    literalspacing
          The pattern is taken literally.
     See also: regexpi, regexprep.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 35
Regular expression string matching.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
regexpi
# name: <cell-element>
# type: string
# elements: 1
# length: 335
 -- Loadable Function: [S, E, TE, M, T, NM] = regexpi (STR, PAT)
 -- Loadable Function: [...] = regexpi (STR, PAT, OPTS, ...)
     Case insensitive regular expression string matching.  Matches PAT in STR and returns the position and matching substrings or empty values if there are none.  *Note regexp: doc-regexp, for more details
   
# name: <cell-element>
# type: string
# elements: 1
# length: 52
Case insensitive regular expression string matching.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
regexprep
# name: <cell-element>
# type: string
# elements: 1
# length: 1203
 -- Loadable Function: STRING = regexprep (STRING, PAT, REPSTR, OPTIONS)
     Replace matches of PAT in  STRING with REPSTR.

     The replacement can contain `$i', which substitutes for the ith set of parentheses in the match string.  E.g.,

             regexprep("Bill Dunn",'(\w+) (\w+)','$2, $1')
     returns "Dunn, Bill"

     OPTIONS may be zero or more of
    `once'
          Replace only the first occurrence of PAT in the result.

    `warnings'
          This option is present for compatibility but is ignored.

    `ignorecase or matchcase'
          Ignore case for the pattern matching (see `regexpi').  Alternatively, use (?i) or (?-i) in the pattern.

    `lineanchors and stringanchors'
          Whether characters ^ and $ match the beginning and ending of lines.  Alternatively, use (?m) or (?-m) in the pattern.

    `dotexceptnewline and dotall'
          Whether . matches newlines in the string.  Alternatively, use (?s) or (?-s) in the pattern.

    `freespacing or literalspacing'
          Whether whitespace and # comments can be used to make the regular expression more readable.  Alternatively, use (?x) or (?-x) in the pattern.

     See also: regexp,regexpi,strrep.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 45
Replace matches of PAT in STRING with REPSTR.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
schur
# name: <cell-element>
# type: string
# elements: 1
# length: 1362
 -- Loadable Function: S = schur (A)
 -- Loadable Function: [U, S] = schur (A, OPT)
     The Schur decomposition is used to compute eigenvalues of a square matrix, and has applications in the solution of algebraic Riccati equations in control (see `are' and `dare').  `schur' always returns `s = u' * a * u' where `u'  is a unitary matrix (`u'* u' is identity) and `s' is upper triangular.  The eigenvalues of `a' (and `s') are the diagonal elements of `s'.  If the matrix `a' is real, then the real Schur decomposition is computed, in which the matrix `u' is orthogonal and `s' is block upper triangular with blocks of size at most `2 x 2' along the diagonal.  The diagonal elements of `s' (or the eigenvalues of the `2 x 2' blocks, when appropriate) are the eigenvalues of `a' and `s'.

     The eigenvalues are optionally ordered along the diagonal according to the value of `opt'.  `opt = "a"' indicates that all eigenvalues with negative real parts should be moved to the leading block of `s' (used in `are'), `opt = "d"' indicates that all eigenvalues with magnitude less than one should be moved to the leading block of `s' (used in `dare'), and `opt = "u"', the default, indicates that no ordering of eigenvalues should occur.  The leading `k' columns of `u' always span the `a'-invariant subspace corresponding to the `k' leading eigenvalues of `s'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 177
The Schur decomposition is used to compute eigenvalues of a square matrix, and has applications in the solution of algebraic Riccati equations in control (see `are' and `dare').

# name: <cell-element>
# type: string
# elements: 1
# length: 3
SIG
# name: <cell-element>
# type: string
# elements: 1
# length: 113
 -- Built-in Function:  SIG ()
     Return a structure containing Unix signal names and their defined values.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 73
Return a structure containing Unix signal names and their defined values.

# name: <cell-element>
# type: string
# elements: 1
# length: 18
debug_on_interrupt
# name: <cell-element>
# type: string
# elements: 1
# length: 398
 -- Built-in Function: VAL = debug_on_interrupt ()
 -- Built-in Function: OLD_VAL = debug_on_interrupt (NEW_VAL)
     Query or set the internal variable that controls whether Octave will try to enter debugging mode when it receives an interrupt signal (typically generated with `C-c').  If a second interrupt signal is received before reaching the debugging mode, a normal interrupt will occur.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 167
Query or set the internal variable that controls whether Octave will try to enter debugging mode when it receives an interrupt signal (typically generated with `C-c').

# name: <cell-element>
# type: string
# elements: 1
# length: 24
sighup_dumps_octave_core
# name: <cell-element>
# type: string
# elements: 1
# length: 291
 -- Built-in Function: VAL = sighup_dumps_octave_core ()
 -- Built-in Function: OLD_VAL = sighup_dumps_octave_core (NEW_VAL)
     Query or set the internal variable that controls whether Octave tries to save all current variables to the file "octave-core" if it receives a hangup signal.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 157
Query or set the internal variable that controls whether Octave tries to save all current variables to the file "octave-core" if it receives a hangup signal.

# name: <cell-element>
# type: string
# elements: 1
# length: 25
sigterm_dumps_octave_core
# name: <cell-element>
# type: string
# elements: 1
# length: 296
 -- Built-in Function: VAL = sigterm_dumps_octave_core ()
 -- Built-in Function: OLD_VAL = sigterm_dumps_octave_core (NEW_VAL)
     Query or set the internal variable that controls whether Octave tries to save all current variables to the file "octave-core" if it receives a terminate signal.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 160
Query or set the internal variable that controls whether Octave tries to save all current variables to the file "octave-core" if it receives a terminate signal.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
issparse
# name: <cell-element>
# type: string
# elements: 1
# length: 113
 -- Loadable Function:  issparse (EXPR)
     Return 1 if the value of the expression EXPR is a sparse matrix.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 64
Return 1 if the value of the expression EXPR is a sparse matrix.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
sparse
# name: <cell-element>
# type: string
# elements: 1
# length: 1398
 -- Loadable Function: S = sparse (A)
 -- Loadable Function: S = sparse (I, J, SV, M, N, NZMAX)
 -- Loadable Function: S = sparse (I, J, SV)
 -- Loadable Function: S = sparse (I, J, S, M, N, "unique")
 -- Loadable Function: S = sparse (M, N)
     Create a sparse matrix from the full matrix or row, column, value triplets.  If A is a full matrix, convert it to a sparse matrix representation, removing all zero values in the process.

     Given the integer index vectors I and J, a 1-by-`nnz' vector of real of complex values SV, overall dimensions M and N of the sparse matrix.  The argument `nzmax' is ignored but accepted for compatibility with MATLAB.  If M or N are not specified their values are derived from the maximum index in the vectors I and J as given by `M = max (I)', `N = max (J)'.

     *Note*: if multiple values are specified with the same I, J indices, the corresponding values in S will be added.

     The following are all equivalent:

          s = sparse (i, j, s, m, n)
          s = sparse (i, j, s, m, n, "summation")
          s = sparse (i, j, s, m, n, "sum")

     Given the option "unique". if more than two values are specified for the same I, J indices, the last specified value will be used.

     `sparse(M, N)' is equivalent to `sparse ([], [], [], M, N, 0)'

     If any of SV, I or J are scalars, they are expanded to have a common size.  See also: full.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 75
Create a sparse matrix from the full matrix or row, column, value triplets.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
spparms
# name: <cell-element>
# type: string
# elements: 1
# length: 2274
 -- Loadable Function:   spparms ()
 -- Loadable Function: VALS = spparms ()
 -- Loadable Function: [KEYS, VALS] = spparms ()
 -- Loadable Function: VAL = spparms (KEY)
 -- Loadable Function:   spparms (VALS)
 -- Loadable Function:   spparms ('defaults')
 -- Loadable Function:   spparms ('tight')
 -- Loadable Function:   spparms (KEY, VAL)
     Sets or displays the parameters used by the sparse solvers and factorization functions.  The first four calls above get information about the current settings, while the others change the current settings.  The parameters are stored as pairs of keys and values, where the values are all floats and the keys are one of the following strings:

    `spumoni'
          Printing level of debugging information of the solvers (default 0)

    `ths_rel'
          Included for compatibility.  Not used.  (default 1)

    `ths_abs'
          Included for compatibility.  Not used.  (default 1)

    `exact_d'
          Included for compatibility.  Not used.  (default 0)

    `supernd'
          Included for compatibility.  Not used.  (default 3)

    `rreduce'
          Included for compatibility.  Not used.  (default 3)

    `wh_frac'
          Included for compatibility.  Not used.  (default 0.5)

    `autommd'
          Flag whether the LU/QR and the '\' and '/' operators will automatically use the sparsity preserving mmd functions (default 1)

    `autoamd'
          Flag whether the LU and the '\' and '/' operators will automatically use the sparsity preserving amd functions (default 1)

    `piv_tol'
          The pivot tolerance of the UMFPACK solvers (default 0.1)

    `sym_tol'
          The pivot tolerance of the UMFPACK symmetric solvers (default 0.001)

    `bandden'
          The density of non-zero elements in a banded matrix before it is treated by the LAPACK banded solvers (default 0.5)

    `umfpack'
          Flag whether the UMFPACK or mmd solvers are used for the LU, '\' and '/' operations (default 1)

     The value of individual keys can be set with `spparms (KEY, VAL)'.  The default values can be restored with the special keyword 'defaults'.  The special keyword 'tight' can be used to set the mmd solvers to attempt for a sparser solution at the potential cost of longer running time.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 87
Sets or displays the parameters used by the sparse solvers and factorization functions.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
sqrtm
# name: <cell-element>
# type: string
# elements: 1
# length: 322
 -- Loadable Function: [RESULT, ERROR_ESTIMATE] = sqrtm (A)
     Compute the matrix square root of the square matrix A.

     Ref: Nicholas J. Higham.  A new sqrtm for MATLAB.  Numerical Analysis Report No. 336, Manchester Centre for Computational Mathematics, Manchester, England, January 1999.  See also: expm, logm.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 54
Compute the matrix square root of the square matrix A.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
char
# name: <cell-element>
# type: string
# elements: 1
# length: 1120
 -- Built-in Function:  char (X)
 -- Built-in Function:  char (X, ...)
 -- Built-in Function:  char (S1, S2, ...)
 -- Built-in Function:  char (CELL_ARRAY)
     Create a string array from one or more numeric matrices, character matrices, or cell arrays.  Arguments are concatenated vertically.  The returned values are padded with blanks as needed to make each row of the string array have the same length.  Empty input strings are significant and will concatenated in the output.

     For numerical input, each element is converted to the corresponding ASCII character.  A range error results if an input is outside the ASCII range (0-255).

     For cell arrays, each element is concatenated separately.  Cell arrays converted through `char' can mostly be converted back with `cellstr'.  For example,

          char ([97, 98, 99], "", {"98", "99", 100}, "str1", ["ha", "lf"])
               => ["abc    "
                   "       "
                   "98     "
                   "99     "
                   "d      "
                   "str1   "
                   "half   "]
     See also: strvcat, cellstr.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 92
Create a string array from one or more numeric matrices, character matrices, or cell arrays.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
strvcat
# name: <cell-element>
# type: string
# elements: 1
# length: 1120
 -- Built-in Function:  strvcat (X)
 -- Built-in Function:  strvcat (X, ...)
 -- Built-in Function:  strvcat (S1, S2, ...)
 -- Built-in Function:  strvcat (CELL_ARRAY)
     Create a character array from one or more numeric matrices, character matrices, or cell arrays.  Arguments are concatenated vertically.  The returned values are padded with blanks as needed to make each row of the string array have the same length.  Unlike `char', empty strings are removed and will not appear in the output.

     For numerical input, each element is converted to the corresponding ASCII character.  A range error results if an input is outside the ASCII range (0-255).

     For cell arrays, each element is concatenated separately.  Cell arrays converted through `strvcat' can mostly be converted back with `cellstr'.  For example,

          strvcat ([97, 98, 99], "", {"98", "99", 100}, "str1", ["ha", "lf"])
               => ["abc    "
                   "98     "
                   "99     "
                   "d      "
                   "str1   "
                   "half   "]
     See also: char, strcat, cstrcat.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 95
Create a character array from one or more numeric matrices, character matrices, or cell arrays.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
ischar
# name: <cell-element>
# type: string
# elements: 1
# length: 101
 -- Built-in Function:  ischar (A)
     Return 1 if A is a character array.  Otherwise, return 0.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 35
Return 1 if A is a character array.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
strcmp
# name: <cell-element>
# type: string
# elements: 1
# length: 671
 -- Built-in Function:  strcmp (S1, S2)
     Return 1 if the character strings S1 and S2 are the same, and 0 otherwise.

     If either S1 or S2 is a cell array of strings, then an array of the same size is returned, containing the values described above for every member of the cell array.  The other argument may also be a cell array of strings (of the same size or with only one element), char matrix or character string.

     *Caution:* For compatibility with MATLAB, Octave's strcmp function returns 1 if the character strings are equal, and 0 otherwise.  This is just the opposite of the corresponding C library function.  See also: strcmpi, strncmp, strncmpi.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 74
Return 1 if the character strings S1 and S2 are the same, and 0 otherwise.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
strncmp
# name: <cell-element>
# type: string
# elements: 1
# length: 829
 -- Built-in Function:  strncmp (S1, S2, N)
     Return 1 if the first N characters of strings S1 and S2 are the same, and 0 otherwise.

          strncmp ("abce", "abcd", 3)
               => 1

     If either S1 or S2 is a cell array of strings, then an array of the same size is returned, containing the values described above for every member of the cell array.  The other argument may also be a cell array of strings (of the same size or with only one element), char matrix or character string.

          strncmp ("abce", {"abcd", "bca", "abc"}, 3)
               => [1, 0, 1]

     *Caution:* For compatibility with MATLAB, Octave's strncmp function returns 1 if the character strings are equal, and 0 otherwise.  This is just the opposite of the corresponding C library function.  See also: strncmpi, strcmp, strcmpi.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 86
Return 1 if the first N characters of strings S1 and S2 are the same, and 0 otherwise.

# name: <cell-element>
# type: string
# elements: 1
# length: 15
list_in_columns
# name: <cell-element>
# type: string
# elements: 1
# length: 971
 -- Built-in Function:  list_in_columns (ARG, WIDTH)
     Return a string containing the elements of ARG listed in columns with an overall maximum width of WIDTH.  The argument ARG must be a cell array of character strings or a character array.  If WIDTH is not specified, the width of the terminal screen is used.  Newline characters are used to break the lines in the output string.  For example:

          list_in_columns ({"abc", "def", "ghijkl", "mnop", "qrs", "tuv"}, 20)
               => ans = abc     mnop
                      def     qrs
                      ghijkl  tuv

          whos ans
               =>
               Variables in the current scope:

                 Attr Name        Size                     Bytes  Class
                 ==== ====        ====                     =====  =====
                      ans         1x37                        37  char

               Total is 37 elements using 37 bytes

     See also: terminal_size.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 104
Return a string containing the elements of ARG listed in columns with an overall maximum width of WIDTH.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
svd
# name: <cell-element>
# type: string
# elements: 1
# length: 1030
 -- Loadable Function: S = svd (A)
 -- Loadable Function: [U, S, V] = svd (A)
     Compute the singular value decomposition of A

          A = U*S*V'

     The function `svd' normally returns the vector of singular values.  If asked for three return values, it computes U, S, and V.  For example,

          svd (hilb (3))

     returns

          ans =

            1.4083189
            0.1223271
            0.0026873

     and

          [u, s, v] = svd (hilb (3))

     returns

          u =

            -0.82704   0.54745   0.12766
            -0.45986  -0.52829  -0.71375
            -0.32330  -0.64901   0.68867

          s =

            1.40832  0.00000  0.00000
            0.00000  0.12233  0.00000
            0.00000  0.00000  0.00269

          v =

            -0.82704   0.54745   0.12766
            -0.45986  -0.52829  -0.71375
            -0.32330  -0.64901   0.68867

     If given a second argument, `svd' returns an economy-sized decomposition, eliminating the unnecessary rows or columns of U or V.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 46
Compute the singular value decomposition of A 

# name: <cell-element>
# type: string
# elements: 1
# length: 3
syl
# name: <cell-element>
# type: string
# elements: 1
# length: 280
 -- Loadable Function: X = syl (A, B, C)
     Solve the Sylvester equation

          A X + X B + C = 0
     using standard LAPACK subroutines.  For example,

          syl ([1, 2; 3, 4], [5, 6; 7, 8], [9, 10; 11, 12])
               => [ -0.50000, -0.66667; -0.66667, -0.50000 ]

# name: <cell-element>
# type: string
# elements: 1
# length: 29
Solve the Sylvester equation 

# name: <cell-element>
# type: string
# elements: 1
# length: 8
symbfact
# name: <cell-element>
# type: string
# elements: 1
# length: 1135
 -- Loadable Function: [COUNT, H, PARENT, POST, R] = symbfact (S, TYP, MODE)
     Performs a symbolic factorization analysis on the sparse matrix S.  Where

    S
          S is a complex or real sparse matrix.

    TYP
          Is the type of the factorization and can be one of

         `sym'
               Factorize S.  This is the default.

         `col'
               Factorize `S' * S'.

         `row'
               Factorize `S * S''.

         `lo'
               Factorize `S''

    MODE
          The default is to return the Cholesky factorization for R, and if MODE is 'L', the conjugate transpose of the Cholesky factorization is returned.  The conjugate transpose version is faster and uses less memory, but returns the same values for COUNT, H, PARENT and POST outputs.

     The output variables are

    COUNT
          The row counts of the Cholesky factorization as determined by TYP.

    H
          The height of the elimination tree.

    PARENT
          The elimination tree itself.

    POST
          A sparse boolean matrix whose structure is that of the Cholesky factorization as determined by TYP.

# name: <cell-element>
# type: string
# elements: 1
# length: 66
Performs a symbolic factorization analysis on the sparse matrix S.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
symrcm
# name: <cell-element>
# type: string
# elements: 1
# length: 923
 -- Loadable Function: P = symrcm (S)
     Symmetric reverse Cuthill-McKee permutation of S.  Return a permutation vector P such that `S (P, P)' tends to have its diagonal elements closer to the diagonal than S.  This is a good preordering for LU or Cholesky factorization of matrices that come from 'long, skinny' problems.  It works for both symmetric and asymmetric S.

     The algorithm represents a heuristic approach to the NP-complete bandwidth minimization problem.  The implementation is based in the descriptions found in

     E. Cuthill, J. McKee: Reducing the Bandwidth of Sparse Symmetric Matrices. Proceedings of the 24th ACM National Conference, 157-172 1969, Brandon Press, New Jersey.

     Alan George, Joseph W. H. Liu: Computer Solution of Large Sparse Positive Definite Systems, Prentice Hall Series in Computational Mathematics, ISBN 0-13-165274-5, 1981.

     See also: colperm, colamd, symamd.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 49
Symmetric reverse Cuthill-McKee permutation of S.

# name: <cell-element>
# type: string
# elements: 1
# length: 26
ignore_function_time_stamp
# name: <cell-element>
# type: string
# elements: 1
# length: 826
 -- Built-in Function: VAL = ignore_function_time_stamp ()
 -- Built-in Function: OLD_VAL = ignore_function_time_stamp (NEW_VAL)
     Query or set the internal variable that controls whether Octave checks the time stamp on files each time it looks up functions defined in function files.  If the internal variable is set to `"system"', Octave will not automatically recompile function files in subdirectories of `OCTAVE-HOME/lib/VERSION' if they have changed since they were last compiled, but will recompile other function files in the search path if they change.  If set to `"all"', Octave will not recompile any function files unless their definitions are removed with `clear'.  If set to "none", Octave will always check time stamps on files to determine whether functions defined in function files need to recompiled.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 153
Query or set the internal variable that controls whether Octave checks the time stamp on files each time it looks up functions defined in function files.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
dup2
# name: <cell-element>
# type: string
# elements: 1
# length: 244
 -- Built-in Function: [FID, MSG] = dup2 (OLD, NEW)
     Duplicate a file descriptor.

     If successful, FID is greater than zero and contains the new file ID.  Otherwise, FID is negative and MSG contains a system-dependent error message.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 28
Duplicate a file descriptor.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
exec
# name: <cell-element>
# type: string
# elements: 1
# length: 485
 -- Built-in Function: [ERR, MSG] = exec (FILE, ARGS)
     Replace current process with a new process.  Calling `exec' without first calling `fork' will terminate your current Octave process and replace it with the program named by FILE.  For example,

          exec ("ls" "-l")

     will run `ls' and return you to your shell prompt.

     If successful, `exec' does not return.  If `exec' does return, ERR will be nonzero, and MSG will contain a system-dependent error message.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 43
Replace current process with a new process.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
popen2
# name: <cell-element>
# type: string
# elements: 1
# length: 1255
 -- Built-in Function: [IN, OUT, PID] = popen2 (COMMAND, ARGS)
     Start a subprocess with two-way communication.  The name of the process is given by COMMAND, and ARGS is an array of strings containing options for the command.  The file identifiers for the input and output streams of the subprocess are returned in IN and OUT.  If execution of the command is successful, PID contains the process ID of the subprocess.  Otherwise, PID is -1.

     For example,

          [in, out, pid] = popen2 ("sort", "-r");
          fputs (in, "these\nare\nsome\nstrings\n");
          fclose (in);
          EAGAIN = errno ("EAGAIN");
          done = false;
          do
            s = fgets (out);
            if (ischar (s))
              fputs (stdout, s);
            elseif (errno () == EAGAIN)
              sleep (0.1);
              fclear (out);
            else
              done = true;
            endif
          until (done)
          fclose (out);
          waitpid (pid);
               -| these
               -| strings
               -| some
               -| are

     Note that `popen2', unlike `popen', will not "reap" the child process.  If you don't use `waitpid' to check the child's exit status, it will linger until Octave exits.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 46
Start a subprocess with two-way communication.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
fcntl
# name: <cell-element>
# type: string
# elements: 1
# length: 1288
 -- Built-in Function: [ERR, MSG] = fcntl (FID, REQUEST, ARG)
     Change the properties of the open file FID.  The following values may be passed as REQUEST:

    `F_DUPFD'
          Return a duplicate file descriptor.

    `F_GETFD'
          Return the file descriptor flags for FID.

    `F_SETFD'
          Set the file descriptor flags for FID.

    `F_GETFL'
          Return the file status flags for FID.  The following codes may be returned (some of the flags may be undefined on some systems).

         `O_RDONLY'
               Open for reading only.

         `O_WRONLY'
               Open for writing only.

         `O_RDWR'
               Open for reading and writing.

         `O_APPEND'
               Append on each write.

         `O_CREAT'
               Create the file if it does not exist.

         `O_NONBLOCK'
               Nonblocking mode.

         `O_SYNC'
               Wait for writes to complete.

         `O_ASYNC'
               Asynchronous I/O.

    `F_SETFL'
          Set the file status flags for FID to the value specified by ARG.  The only flags that can be changed are `O_APPEND' and `O_NONBLOCK'.

     If successful, ERR is 0 and MSG is an empty string.  Otherwise, ERR is nonzero and MSG contains a system-dependent error message.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 43
Change the properties of the open file FID.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
fork
# name: <cell-element>
# type: string
# elements: 1
# length: 624
 -- Built-in Function: [PID, MSG] = fork ()
     Create a copy of the current process.

     Fork can return one of the following values:

    > 0
          You are in the parent process.  The value returned from `fork' is the process id of the child process.  You should probably arrange to wait for any child processes to exit.

    0
          You are in the child process.  You can call `exec' to start another process.  If that fails, you should probably call `exit'.

    < 0
          The call to `fork' failed for some reason.  You must take evasive action.  A system dependent error message will be waiting in MSG.

# name: <cell-element>
# type: string
# elements: 1
# length: 37
Create a copy of the current process.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
getpgrp
# name: <cell-element>
# type: string
# elements: 1
# length: 101
 -- Built-in Function: pgid = getpgrp ()
     Return the process group id of the current process.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 51
Return the process group id of the current process.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
getpid
# name: <cell-element>
# type: string
# elements: 1
# length: 93
 -- Built-in Function: pid = getpid ()
     Return the process id of the current process.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 45
Return the process id of the current process.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
getppid
# name: <cell-element>
# type: string
# elements: 1
# length: 93
 -- Built-in Function: pid = getppid ()
     Return the process id of the parent process.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 44
Return the process id of the parent process.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
getegid
# name: <cell-element>
# type: string
# elements: 1
# length: 103
 -- Built-in Function: egid = getegid ()
     Return the effective group id of the current process.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 53
Return the effective group id of the current process.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
getgid
# name: <cell-element>
# type: string
# elements: 1
# length: 96
 -- Built-in Function: gid = getgid ()
     Return the real group id of the current process.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 48
Return the real group id of the current process.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
geteuid
# name: <cell-element>
# type: string
# elements: 1
# length: 102
 -- Built-in Function: euid = geteuid ()
     Return the effective user id of the current process.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 52
Return the effective user id of the current process.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
getuid
# name: <cell-element>
# type: string
# elements: 1
# length: 95
 -- Built-in Function: uid = getuid ()
     Return the real user id of the current process.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 47
Return the real user id of the current process.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
kill
# name: <cell-element>
# type: string
# elements: 1
# length: 565
 -- Built-in Function: [ERR, MSG] = kill (PID, SIG)
     Send signal SIG to process PID.

     If PID is positive, then signal SIG is sent to PID.

     If PID is 0, then signal SIG is sent to every process in the process group of the current process.

     If PID is -1, then signal SIG is sent to every process except process 1.

     If PID is less than -1, then signal SIG is sent to every process in the process group -PID.

     If SIG is 0, then no signal is sent, but error checking is still performed.

     Return 0 if successful, otherwise return -1.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 31
Send signal SIG to process PID.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
fstat
# name: <cell-element>
# type: string
# elements: 1
# length: 161
 -- Built-in Function: [INFO, ERR, MSG] = fstat (FID)
     Return information about the open file FID.  See `stat' for a description of the contents of INFO.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 43
Return information about the open file FID.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
lstat
# name: <cell-element>
# type: string
# elements: 1
# length: 73
 -- Built-in Function: [INFO, ERR, MSG] = lstat (FILE)
     See stat.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 9
See stat.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
mkfifo
# name: <cell-element>
# type: string
# elements: 1
# length: 258
 -- Built-in Function: [ERR, MSG] = mkfifo (NAME, MODE)
     Create a FIFO special file named NAME with file mode MODE

     If successful, ERR is 0 and MSG is an empty string.  Otherwise, ERR is nonzero and MSG contains a system-dependent error message.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 58
Create a FIFO special file named NAME with file mode MODE 

# name: <cell-element>
# type: string
# elements: 1
# length: 4
pipe
# name: <cell-element>
# type: string
# elements: 1
# length: 313
 -- Built-in Function: [READ_FD, WRITE_FD, ERR, MSG] = pipe ()
     Create a pipe and return the reading and writing ends of the pipe into READ_FD and WRITE_FD respectively.

     If successful, ERR is 0 and MSG is an empty string.  Otherwise, ERR is nonzero and MSG contains a system-dependent error message.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 105
Create a pipe and return the reading and writing ends of the pipe into READ_FD and WRITE_FD respectively.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
stat
# name: <cell-element>
# type: string
# elements: 1
# length: 2402
 -- Built-in Function: [INFO, ERR, MSG] = stat (FILE)
 -- Built-in Function: [INFO, ERR, MSG] = lstat (FILE)
     Return a structure S containing the following information about FILE.

    `dev'
          ID of device containing a directory entry for this file.

    `ino'
          File number of the file.

    `mode'
          File mode, as an integer.  Use the functions `S_ISREG', `S_ISDIR', `S_ISCHR', `S_ISBLK', `S_ISFIFO', `S_ISLNK', or `S_ISSOCK' to extract information from this value.

    `modestr'
          File mode, as a string of ten letters or dashes as would be returned by `ls -l'.

    `nlink'
          Number of links.

    `uid'
          User ID of file's owner.

    `gid'
          Group ID of file's group.

    `rdev'
          ID of device for block or character special files.

    `size'
          Size in bytes.

    `atime'
          Time of last access in the same form as time values returned from `time'.  *Note Timing Utilities::.

    `mtime'
          Time of last modification in the same form as time values returned from `time'.  *Note Timing Utilities::.

    `ctime'
          Time of last file status change in the same form as time values returned from `time'.  *Note Timing Utilities::.

    `blksize'
          Size of blocks in the file.

    `blocks'
          Number of blocks allocated for file.

     If the call is successful ERR is 0 and MSG is an empty string.  If the file does not exist, or some other error occurs, S is an empty matrix, ERR is -1, and MSG contains the corresponding system error message.

     If FILE is a symbolic link, `stat' will return information about the actual file that is referenced by the link.  Use `lstat' if you want information about the symbolic link itself.

     For example,

          [s, err, msg] = stat ("/vmlinuz")
                => s =
                  {
                    atime = 855399756
                    rdev = 0
                    ctime = 847219094
                    uid = 0
                    size = 389218
                    blksize = 4096
                    mtime = 847219094
                    gid = 6
                    nlink = 1
                    blocks = 768
                    mode = -rw-r--r--
                    modestr = -rw-r--r--
                    ino = 9316
                    dev = 2049
                  }
               => err = 0
               => msg =

# name: <cell-element>
# type: string
# elements: 1
# length: 69
Return a structure S containing the following information about FILE.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
S_ISREG
# name: <cell-element>
# type: string
# elements: 1
# length: 190
 -- Built-in Function:  S_ISREG (MODE)
     Return true if MODE corresponds to a regular file.  The value of MODE is assumed to be returned from a call to `stat'.  See also: stat, lstat.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 50
Return true if MODE corresponds to a regular file.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
S_ISDIR
# name: <cell-element>
# type: string
# elements: 1
# length: 187
 -- Built-in Function:  S_ISDIR (MODE)
     Return true if MODE corresponds to a directory.  The value of MODE is assumed to be returned from a call to `stat'.  See also: stat, lstat.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 47
Return true if MODE corresponds to a directory.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
S_ISCHR
# name: <cell-element>
# type: string
# elements: 1
# length: 195
 -- Built-in Function:  S_ISCHR (MODE)
     Return true if MODE corresponds to a character devicey.  The value of MODE is assumed to be returned from a call to `stat'.  See also: stat, lstat.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 55
Return true if MODE corresponds to a character devicey.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
S_ISBLK
# name: <cell-element>
# type: string
# elements: 1
# length: 190
 -- Built-in Function:  S_ISBLK (MODE)
     Return true if MODE corresponds to a block device.  The value of MODE is assumed to be returned from a call to `stat'.  See also: stat, lstat.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 50
Return true if MODE corresponds to a block device.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
S_ISFIFO
# name: <cell-element>
# type: string
# elements: 1
# length: 183
 -- Built-in Function:  S_ISFIFO (MODE)
     Return true if MODE corresponds to a fifo.  The value of MODE is assumed to be returned from a call to `stat'.  See also: stat, lstat.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 42
Return true if MODE corresponds to a fifo.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
S_ISLNK
# name: <cell-element>
# type: string
# elements: 1
# length: 191
 -- Built-in Function:  S_ISLNK (MODE)
     Return true if MODE corresponds to a symbolic link.  The value of MODE is assumed to be returned from a call to `stat'.  See also: stat, lstat.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 51
Return true if MODE corresponds to a symbolic link.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
S_ISSOCK
# name: <cell-element>
# type: string
# elements: 1
# length: 71
 -- Built-in Function:  S_ISSOCK (MODE)
     See also: stat, lstat.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 22
See also: stat, lstat.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
uname
# name: <cell-element>
# type: string
# elements: 1
# length: 549
 -- Built-in Function: [UTS, ERR, MSG] = uname ()
     Return system information in the structure.  For example,

          uname ()
               => {
                     sysname = x86_64
                     nodename = segfault
                     release = 2.6.15-1-amd64-k8-smp
                     version = Linux
                     machine = #2 SMP Thu Feb 23 04:57:49 UTC 2006
                   }

     If successful, ERR is 0 and MSG is an empty string.  Otherwise, ERR is nonzero and MSG contains a system-dependent error message.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 43
Return system information in the structure.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
unlink
# name: <cell-element>
# type: string
# elements: 1
# length: 222
 -- Built-in Function: [ERR, MSG] = unlink (FILE)
     Delete the file named FILE.

     If successful, ERR is 0 and MSG is an empty string.  Otherwise, ERR is nonzero and MSG contains a system-dependent error message.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 27
Delete the file named FILE.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
waitpid
# name: <cell-element>
# type: string
# elements: 1
# length: 1411
 -- Built-in Function: [PID, STATUS, MSG] = waitpid (PID, OPTIONS)
     Wait for process PID to terminate.  The PID argument can be:

    -1
          Wait for any child process.

    0
          Wait for any child process whose process group ID is equal to that of the Octave interpreter process.

    > 0
          Wait for termination of the child process with ID PID.

     The OPTIONS argument can be a bitwise OR of zero or more of the following constants:

    `0'
          Wait until signal is received or a child process exits (this is the default if the OPTIONS argument is missing).

    `WNOHANG'
          Do not hang if status is not immediately available.

    `WUNTRACED'
          Report the status of any child processes that are stopped, and whose status has not yet been reported since they stopped.

    `WCONTINUE'
          Return if a stopped child has been resumed by delivery of `SIGCONT'.  This value may not be meaningful on all systems.

     If the returned value of PID is greater than 0, it is the process ID of the child process that exited.  If an error occurs, PID will be less than zero and MSG will contain a system-dependent error message.  The value of STATUS contains additional system-dependent information about the subprocess that exited.  See also: WCONTINUE, WCOREDUMP, WEXITSTATUS, WIFCONTINUED, WIFSIGNALED, WIFSTOPPED, WNOHANG, WSTOPSIG, WTERMSIG, WUNTRACED.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
Wait for process PID to terminate.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
WIFEXITED
# name: <cell-element>
# type: string
# elements: 1
# length: 239
 -- Built-in Function:  WIFEXITED (STATUS)
     Given STATUS from a call to `waitpid', return true if the child terminated normally.  See also: waitpid, WEXITSTATUS, WIFSIGNALED, WTERMSIG, WCOREDUMP, WIFSTOPPED, WSTOPSIG, WIFCONTINUED.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 84
Given STATUS from a call to `waitpid', return true if the child terminated normally.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
WEXITSTATUS
# name: <cell-element>
# type: string
# elements: 1
# length: 299
 -- Built-in Function:  WEXITSTATUS (STATUS)
     Given STATUS from a call to `waitpid', return the exit status of the child.  This function should only be employed if `WIFEXITED' returned true.  See also: waitpid, WIFEXITED, WIFSIGNALED, WTERMSIG, WCOREDUMP, WIFSTOPPED, WSTOPSIG, WIFCONTINUED.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 75
Given STATUS from a call to `waitpid', return the exit status of the child.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
WIFSIGNALED
# name: <cell-element>
# type: string
# elements: 1
# length: 254
 -- Built-in Function:  WIFSIGNALED (STATUS)
     Given STATUS from a call to `waitpid', return true if the child process was terminated by a signal.  See also: waitpid, WIFEXITED, WEXITSTATUS, WTERMSIG, WCOREDUMP, WIFSTOPPED, WSTOPSIG, WIFCONTINUED.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 99
Given STATUS from a call to `waitpid', return true if the child process was terminated by a signal.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
WTERMSIG
# name: <cell-element>
# type: string
# elements: 1
# length: 340
 -- Built-in Function:  WTERMSIG (STATUS)
     Given STATUS from a call to `waitpid', return the number of the signal that caused the child process to terminate.  This function should only be employed if `WIFSIGNALED' returned true.  See also: waitpid, WIFEXITED, WEXITSTATUS, WIFSIGNALED, WCOREDUMP, WIFSTOPPED, WSTOPSIG, WIFCONTINUED.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 114
Given STATUS from a call to `waitpid', return the number of the signal that caused the child process to terminate.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
WCOREDUMP
# name: <cell-element>
# type: string
# elements: 1
# length: 457
 -- Built-in Function:  WCOREDUMP (STATUS)
     Given STATUS from a call to `waitpid', return true if the child produced a core dump.  This function should only be employed if `WIFSIGNALED' returned true.  The macro used to implement this function is not specified in POSIX.1-2001 and is not available on some Unix implementations (e.g., AIX, SunOS).  See also: waitpid, WIFEXITED, WEXITSTATUS, WIFSIGNALED, WTERMSIG, WIFSTOPPED, WSTOPSIG, WIFCONTINUED.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 85
Given STATUS from a call to `waitpid', return true if the child produced a core dump.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
WIFSTOPPED
# name: <cell-element>
# type: string
# elements: 1
# length: 375
 -- Built-in Function:  WIFSTOPPED (STATUS)
     Given STATUS from a call to `waitpid', return true if the child process was stopped by delivery of a signal; this is only possible if the call was done using `WUNTRACED' or when the child is being traced (see ptrace(2)).  See also: waitpid, WIFEXITED, WEXITSTATUS, WIFSIGNALED, WTERMSIG, WCOREDUMP, WSTOPSIG, WIFCONTINUED.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 220
Given STATUS from a call to `waitpid', return true if the child process was stopped by delivery of a signal; this is only possible if the call was done using `WUNTRACED' or when the child is being traced (see ptrace(2)).

# name: <cell-element>
# type: string
# elements: 1
# length: 8
WSTOPSIG
# name: <cell-element>
# type: string
# elements: 1
# length: 327
 -- Built-in Function:  WSTOPSIG (STATUS)
     Given STATUS from a call to `waitpid', return the number of the signal which caused the child to stop.  This function should only be employed if `WIFSTOPPED' returned true.  See also: waitpid, WIFEXITED, WEXITSTATUS, WIFSIGNALED, WTERMSIG, WCOREDUMP, WIFSTOPPED, WIFCONTINUED.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 102
Given STATUS from a call to `waitpid', return the number of the signal which caused the child to stop.

# name: <cell-element>
# type: string
# elements: 1
# length: 12
WIFCONTINUED
# name: <cell-element>
# type: string
# elements: 1
# length: 264
 -- Built-in Function:  WIFCONTINUED (STATUS)
     Given STATUS from a call to `waitpid', return true if the child process was resumed by delivery of `SIGCONT'.  See also: waitpid, WIFEXITED, WEXITSTATUS, WIFSIGNALED, WTERMSIG, WCOREDUMP, WIFSTOPPED, WSTOPSIG.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 109
Given STATUS from a call to `waitpid', return true if the child process was resumed by delivery of `SIGCONT'.

# name: <cell-element>
# type: string
# elements: 1
# length: 22
canonicalize_file_name
# name: <cell-element>
# type: string
# elements: 1
# length: 122
 -- Built-in Function: [CNAME, STATUS, MSG] canonicalize_file_name (NAME)
     Return the canonical name of file NAME.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 39
Return the canonical name of file NAME.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
F_DUPFD
# name: <cell-element>
# type: string
# elements: 1
# length: 183
 -- Built-in Function:  F_DUPFD ()
     Return the value required to request that `fcntl' return a duplicate file descriptor.  See also: fcntl, F_GETFD, F_GETFL, F_SETFD, F_SETFL.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 85
Return the value required to request that `fcntl' return a duplicate file descriptor.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
F_GETFD
# name: <cell-element>
# type: string
# elements: 1
# length: 184
 -- Built-in Function:  F_GETFD ()
     Return the value required to request that `fcntl' to return the file descriptor flags.  See also: fcntl, F_DUPFD, F_GETFL, F_SETFD, F_SETFL.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 86
Return the value required to request that `fcntl' to return the file descriptor flags.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
F_GETFL
# name: <cell-element>
# type: string
# elements: 1
# length: 180
 -- Built-in Function:  F_GETFL ()
     Return the value required to request that `fcntl' to return the file status flags.  See also: fcntl, F_DUPFD, F_GETFD, F_SETFD, F_SETFL.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 82
Return the value required to request that `fcntl' to return the file status flags.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
F_SETFD
# name: <cell-element>
# type: string
# elements: 1
# length: 181
 -- Built-in Function:  F_SETFD ()
     Return the value required to request that `fcntl' to set the file descriptor flags.  See also: fcntl, F_DUPFD, F_GETFD, F_GETFL, F_SETFL.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 83
Return the value required to request that `fcntl' to set the file descriptor flags.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
F_SETFL
# name: <cell-element>
# type: string
# elements: 1
# length: 177
 -- Built-in Function:  F_SETFL ()
     Return the value required to request that `fcntl' to set the file status flags.  See also: fcntl, F_DUPFD, F_GETFD, F_GETFL, F_SETFD.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 79
Return the value required to request that `fcntl' to set the file status flags.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
O_APPEND
# name: <cell-element>
# type: string
# elements: 1
# length: 336
 -- Built-in Function:  O_APPEND ()
     Return the numerical value of the file status flag that may be returned by `fcntl' to indicate each write operation appends, or that may be passed to `fcntl' to set the write mode to append.\nSee also: fcntl, O_ASYNC, O_CREAT, O_EXCL, O_NONBLOCK, O_RDONLY, O_RDWR, O_SYNC, O_TRUNC, O_WRONLY.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 190
Return the numerical value of the file status flag that may be returned by `fcntl' to indicate each write operation appends, or that may be passed to `fcntl' to set the write mode to append.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
O_ASYNC
# name: <cell-element>
# type: string
# elements: 1
# length: 258
 -- Built-in Function:  O_ASYNC ()
     Return the numerical value of the file status flag that may be returned by `fcntl' to indicate asynchronous I/O.  See also: fcntl, O_APPEND, O_CREAT, O_EXCL, O_NONBLOCK, O_RDONLY, O_RDWR, O_SYNC, O_TRUNC, O_WRONLY.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 112
Return the numerical value of the file status flag that may be returned by `fcntl' to indicate asynchronous I/O.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
O_CREAT
# name: <cell-element>
# type: string
# elements: 1
# length: 292
 -- Built-in Function:  O_CREAT ()
     Return the numerical value of the file status flag that may be returned by `fcntl' to indicate that a file should be created if it does not exist.  See also: fcntl, O_APPEND, O_ASYNC, O_EXCL, O_NONBLOCK, O_RDONLY, O_RDWR, O_SYNC, O_TRUNC, O_WRONLY.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 146
Return the numerical value of the file status flag that may be returned by `fcntl' to indicate that a file should be created if it does not exist.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
O_EXCL
# name: <cell-element>
# type: string
# elements: 1
# length: 267
 -- Built-in Function:  O_EXCL ()
     Return the numerical value of the file status flag that may be returned by `fcntl' to indicate that file locking is used.  See also: fcntl, O_APPEND, O_ASYNC, O_CREAT, O_NONBLOCK, O_RDONLY, O_RDWR, O_SYNC, O_TRUNC, O_WRONLY.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 121
Return the numerical value of the file status flag that may be returned by `fcntl' to indicate that file locking is used.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
O_NONBLOCK
# name: <cell-element>
# type: string
# elements: 1
# length: 332
 -- Built-in Function:  O_NONBLOCK ()
     Return the numerical value of the file status flag that may be returned by `fcntl' to indicate that non-blocking I/O is in use, or that may be passsed to `fcntl' to set non-blocking I/O.  See also: fcntl, O_APPEND, O_ASYNC, O_CREAT, O_EXCL, O_RDONLY, O_RDWR, O_SYNC, O_TRUNC, O_WRONLY.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 186
Return the numerical value of the file status flag that may be returned by `fcntl' to indicate that non-blocking I/O is in use, or that may be passsed to `fcntl' to set non-blocking I/O.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
O_RDONLY
# name: <cell-element>
# type: string
# elements: 1
# length: 278
 -- Built-in Function:  O_RDONLY ()
     Return the numerical value of the file status flag that may be returned by `fcntl' to indicate that a file is open for reading only.  See also: fcntl, O_APPEND, O_ASYNC, O_CREAT, O_EXCL, O_NONBLOCK, O_RDWR, O_SYNC, O_TRUNC, O_WRONLY.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 132
Return the numerical value of the file status flag that may be returned by `fcntl' to indicate that a file is open for reading only.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
O_RDWR
# name: <cell-element>
# type: string
# elements: 1
# length: 290
 -- Built-in Function:  O_RDWR ()
     Return the numerical value of the file status flag that may be returned by `fcntl' to indicate that a file is open for both reading and writing.  See also: fcntl, O_APPEND, O_ASYNC, O_CREAT, O_EXCL, O_NONBLOCK, O_RDONLY, O_SYNC, O_TRUNC, O_WRONLY.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 144
Return the numerical value of the file status flag that may be returned by `fcntl' to indicate that a file is open for both reading and writing.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
O_SYNC
# name: <cell-element>
# type: string
# elements: 1
# length: 281
 -- Built-in Function:  O_SYNC ()
     Return the numerical value of the file status flag that may be returned by `fcntl' to indicate that a file is open for synchronous I/O.  See also: fcntl, O_APPEND, O_ASYNC, O_CREAT, O_EXCL, O_NONBLOCK, O_RDONLY, O_RDWR, O_TRUNC, O_WRONLY.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 135
Return the numerical value of the file status flag that may be returned by `fcntl' to indicate that a file is open for synchronous I/O.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
O_TRUNC
# name: <cell-element>
# type: string
# elements: 1
# length: 297
 -- Built-in Variable: O_TRUNC ()
     Return the numerical value of the file status flag that may be returned by `fcntl' to indicate that if file exists, it should be truncated when writing.  See also: fcntl, O_APPEND, O_ASYNC, O_CREAT, O_EXCL, O_NONBLOCK, O_RDONLY, O_RDWR, O_SYNC, O_WRONLY.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 152
Return the numerical value of the file status flag that may be returned by `fcntl' to indicate that if file exists, it should be truncated when writing.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
O_WRONLY
# name: <cell-element>
# type: string
# elements: 1
# length: 278
 -- Built-in Function:  O_WRONLY ()
     Return the numerical value of the file status flag that may be returned by `fcntl' to indicate that a file is open for writing only.  See also: fcntl, O_APPEND, O_ASYNC, O_CREAT, O_EXCL, O_NONBLOCK, O_RDONLY, O_RDWR, O_SYNC, O_TRUNC.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 132
Return the numerical value of the file status flag that may be returned by `fcntl' to indicate that a file is open for writing only.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
WNOHANG
# name: <cell-element>
# type: string
# elements: 1
# length: 266
 -- Built-in Function:  WNOHANG ()
     Return the numerical value of the option argument that may be passed to `waitpid' to indicate that it should return its status immediately instead of waiting for a process to exit.  See also: waitpid, WUNTRACED, WCONTINUE.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 180
Return the numerical value of the option argument that may be passed to `waitpid' to indicate that it should return its status immediately instead of waiting for a process to exit.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
WUNTRACED
# name: <cell-element>
# type: string
# elements: 1
# length: 285
 -- Built-in Function:  WUNTRACED ()
     Return the numerical value of the option argument that may be passed to `waitpid' to indicate that it should also return if the child process has stopped but is not traced via the `ptrace' system call See also: waitpid, WNOHANG, WCONTINUE.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 239
Return the numerical value of the option argument that may be passed to `waitpid' to indicate that it should also return if the child process has stopped but is not traced via the `ptrace' system call See also: waitpid, WNOHANG, WCONTINUE.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
WCONTINUE
# name: <cell-element>
# type: string
# elements: 1
# length: 276
 -- Built-in Function: WCONINTUE ()
     Return the numerical value of the option argument that may be passed to `waitpid' to indicate that it should also return if a stopped child has been resumed by delivery of a `SIGCONT' signal.  See also: waitpid, WNOHANG, WUNTRACED.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 191
Return the numerical value of the option argument that may be passed to `waitpid' to indicate that it should also return if a stopped child has been resumed by delivery of a `SIGCONT' signal.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
clc
# name: <cell-element>
# type: string
# elements: 1
# length: 143
 -- Built-in Function:  clc ()
 -- Built-in Function:  home ()
     Clear the terminal screen and move the cursor to the upper left corner.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 71
Clear the terminal screen and move the cursor to the upper left corner.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
getenv
# name: <cell-element>
# type: string
# elements: 1
# length: 194
 -- Built-in Function:  getenv (VAR)
     Return the value of the environment variable VAR.  For example,

          getenv ("PATH")

     returns a string containing the value of your path.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 49
Return the value of the environment variable VAR.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
putenv
# name: <cell-element>
# type: string
# elements: 1
# length: 152
 -- Built-in Function:  putenv (VAR, VALUE)
 -- Built-in Function:  setenv (VAR, VALUE)
     Set the value of the environment variable VAR to VALUE.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 55
Set the value of the environment variable VAR to VALUE.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
kbhit
# name: <cell-element>
# type: string
# elements: 1
# length: 411
 -- Built-in Function:  kbhit ()
     Read a single keystroke from the keyboard.  If called with one argument, don't wait for a keypress.  For example,

          x = kbhit ();

     will set X to the next character typed at the keyboard as soon as it is typed.

          x = kbhit (1);

     identical to the above example, but don't wait for a keypress, returning the empty string if no key is available.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 42
Read a single keystroke from the keyboard.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
pause
# name: <cell-element>
# type: string
# elements: 1
# length: 421
 -- Built-in Function:  pause (SECONDS)
     Suspend the execution of the program.  If invoked without any arguments, Octave waits until you type a character.  With a numeric argument, it pauses for the given number of seconds.  For example, the following statement prints a message and then waits 5 seconds before clearing the screen.

          fprintf (stderr, "wait please...\n");
          pause (5);
          clc;

# name: <cell-element>
# type: string
# elements: 1
# length: 37
Suspend the execution of the program.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
sleep
# name: <cell-element>
# type: string
# elements: 1
# length: 118
 -- Built-in Function:  sleep (SECONDS)
     Suspend the execution of the program for the given number of seconds.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 69
Suspend the execution of the program for the given number of seconds.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
usleep
# name: <cell-element>
# type: string
# elements: 1
# length: 293
 -- Built-in Function:  usleep (MICROSECONDS)
     Suspend the execution of the program for the given number of microseconds.  On systems where it is not possible to sleep for periods of time less than one second, `usleep' will pause the execution for `round (MICROSECONDS / 1e6)' seconds.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 74
Suspend the execution of the program for the given number of microseconds.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
isieee
# name: <cell-element>
# type: string
# elements: 1
# length: 140
 -- Built-in Function:  isieee ()
     Return 1 if your computer claims to conform to the IEEE standard for floating point calculations.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 97
Return 1 if your computer claims to conform to the IEEE standard for floating point calculations.

# name: <cell-element>
# type: string
# elements: 1
# length: 19
native_float_format
# name: <cell-element>
# type: string
# elements: 1
# length: 107
 -- Built-in Function:  native_float_format ()
     Return the native floating point format as a string
   
# name: <cell-element>
# type: string
# elements: 1
# length: 53
Return the native floating point format as a string  

# name: <cell-element>
# type: string
# elements: 1
# length: 12
tilde_expand
# name: <cell-element>
# type: string
# elements: 1
# length: 658
 -- Built-in Function:  tilde_expand (STRING)
     Performs tilde expansion on STRING.  If STRING begins with a tilde character, (`~'), all of the characters preceding the first slash (or all characters, if there is no slash) are treated as a possible user name, and the tilde and the following characters up to the slash are replaced by the home directory of the named user.  If the tilde is followed immediately by a slash, the tilde is replaced by the home directory of the user running Octave.  For example,

          tilde_expand ("~joeuser/bin")
               => "/home/joeuser/bin"
          tilde_expand ("~/bin")
               => "/home/jwe/bin"

# name: <cell-element>
# type: string
# elements: 1
# length: 35
Performs tilde expansion on STRING.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
time
# name: <cell-element>
# type: string
# elements: 1
# length: 413
 -- Loadable Function:  time ()
     Return the current time as the number of seconds since the epoch.  The epoch is referenced to 00:00:00 CUT (Coordinated Universal Time) 1 Jan 1970.  For example, on Monday February 17, 1997 at 07:15:06 CUT, the value returned by `time' was 856163706.  See also: strftime, strptime, localtime, gmtime, mktime, now, date, clock, datenum, datestr, datevec, calendar, weekday.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 65
Return the current time as the number of seconds since the epoch.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
gmtime
# name: <cell-element>
# type: string
# elements: 1
# length: 694
 -- Loadable Function:  gmtime (T)
     Given a value returned from time (or any non-negative integer), return a time structure corresponding to CUT.  For example,

          gmtime (time ())
               => {
                     usec = 0
                     year = 97
                     mon = 1
                     mday = 17
                     sec = 6
                     zone = CST
                     min = 15
                     wday = 1
                     hour = 7
                     isdst = 0
                     yday = 47
                   }
     See also: strftime, strptime, localtime, mktime, time, now, date, clock, datenum, datestr, datevec, calendar, weekday.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 109
Given a value returned from time (or any non-negative integer), return a time structure corresponding to CUT.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
localtime
# name: <cell-element>
# type: string
# elements: 1
# length: 699
 -- Loadable Function:  localtime (T)
     Given a value returned from time (or any non-negative integer), return a time structure corresponding to the local time zone.

          localtime (time ())
               => {
                     usec = 0
                     year = 97
                     mon = 1
                     mday = 17
                     sec = 6
                     zone = CST
                     min = 15
                     wday = 1
                     hour = 1
                     isdst = 0
                     yday = 47
                   }
     See also: strftime, strptime, gmtime, mktime, time, now, date, clock, datenum, datestr, datevec, calendar, weekday.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 125
Given a value returned from time (or any non-negative integer), return a time structure corresponding to the local time zone.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
mktime
# name: <cell-element>
# type: string
# elements: 1
# length: 356
 -- Loadable Function:  mktime (TM_STRUCT)
     Convert a time structure corresponding to the local time to the number of seconds since the epoch.  For example,

          mktime (localtime (time ()))
               => 856163706
     See also: strftime, strptime, localtime, gmtime, time, now, date, clock, datenum, datestr, datevec, calendar, weekday.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 98
Convert a time structure corresponding to the local time to the number of seconds since the epoch.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
strftime
# name: <cell-element>
# type: string
# elements: 1
# length: 2887
 -- Loadable Function:  strftime (FMT, TM_STRUCT)
     Format the time structure TM_STRUCT in a flexible way using the format string FMT that contains `%' substitutions similar to those in `printf'.  Except where noted, substituted fields have a fixed size; numeric fields are padded if necessary.  Padding is with zeros by default; for fields that display a single number, padding can be changed or inhibited by following the `%' with one of the modifiers described below.  Unknown field specifiers are copied as normal characters.  All other characters are copied to the output without change.  For example,

          strftime ("%r (%Z) %A %e %B %Y", localtime (time ()))
               => "01:15:06 AM (CST) Monday 17 February 1997"

     Octave's `strftime' function supports a superset of the ANSI C field specifiers.

     Literal character fields:

    `%'
          % character.

    `n'
          Newline character.

    `t'
          Tab character.

     Numeric modifiers (a nonstandard extension):

    `- (dash)'
          Do not pad the field.

    `_ (underscore)'
          Pad the field with spaces.

     Time fields:

    `%H'
          Hour (00-23).

    `%I'
          Hour (01-12).

    `%k'
          Hour (0-23).

    `%l'
          Hour (1-12).

    `%M'
          Minute (00-59).

    `%p'
          Locale's AM or PM.

    `%r'
          Time, 12-hour (hh:mm:ss [AP]M).

    `%R'
          Time, 24-hour (hh:mm).

    `%s'
          Time in seconds since 00:00:00, Jan 1, 1970 (a nonstandard extension).

    `%S'
          Second (00-61).

    `%T'
          Time, 24-hour (hh:mm:ss).

    `%X'
          Locale's time representation (%H:%M:%S).

    `%Z'
          Time zone (EDT), or nothing if no time zone is determinable.

     Date fields:

    `%a'
          Locale's abbreviated weekday name (Sun-Sat).

    `%A'
          Locale's full weekday name, variable length (Sunday-Saturday).

    `%b'
          Locale's abbreviated month name (Jan-Dec).

    `%B'
          Locale's full month name, variable length (January-December).

    `%c'
          Locale's date and time (Sat Nov 04 12:02:33 EST 1989).

    `%C'
          Century (00-99).

    `%d'
          Day of month (01-31).

    `%e'
          Day of month ( 1-31).

    `%D'
          Date (mm/dd/yy).

    `%h'
          Same as %b.

    `%j'
          Day of year (001-366).

    `%m'
          Month (01-12).

    `%U'
          Week number of year with Sunday as first day of week (00-53).

    `%w'
          Day of week (0-6).

    `%W'
          Week number of year with Monday as first day of week (00-53).

    `%x'
          Locale's date representation (mm/dd/yy).

    `%y'
          Last two digits of year (00-99).

    `%Y'
          Year (1970-).
     See also: strptime, localtime, gmtime, mktime, time, now, date, clock, datenum, datestr, datevec, calendar, weekday.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 143
Format the time structure TM_STRUCT in a flexible way using the format string FMT that contains `%' substitutions similar to those in `printf'.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
strptime
# name: <cell-element>
# type: string
# elements: 1
# length: 496
 -- Loadable Function: [TM_STRUCT, NCHARS] = strptime (STR, FMT)
     Convert the string STR to the time structure TM_STRUCT under the control of the format string FMT.

     If FMT fails to match, NCHARS is 0; otherwise it is set to the position of last matched character plus 1. Always check for this unless you're absolutely sure the date string will be parsed correctly.  See also: strftime, localtime, gmtime, mktime, time, now, date, clock, datenum, datestr, datevec, calendar, weekday.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 98
Convert the string STR to the time structure TM_STRUCT under the control of the format string FMT.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
quit
# name: <cell-element>
# type: string
# elements: 1
# length: 265
 -- Built-in Function:  exit (STATUS)
 -- Built-in Function:  quit (STATUS)
     Exit the current Octave session.  If the optional integer value STATUS is supplied, pass that value to the operating system as the Octave's exit status.  The default value is zero.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 32
Exit the current Octave session.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
warranty
# name: <cell-element>
# type: string
# elements: 1
# length: 105
 -- Built-in Function:  warranty ()
     Describe the conditions for copying and distributing Octave.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 60
Describe the conditions for copying and distributing Octave.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
system
# name: <cell-element>
# type: string
# elements: 1
# length: 1316
 -- Built-in Function:  system (STRING, RETURN_OUTPUT, TYPE)
     Execute a shell command specified by STRING.  The second argument is optional.  If TYPE is `"async"', the process is started in the background and the process id of the child process is returned immediately.  Otherwise, the process is started, and Octave waits until it exits.  If the TYPE argument is omitted, a value of `"sync"' is assumed.

     If two input arguments are given (the actual value of RETURN_OUTPUT is irrelevant) and the subprocess is started synchronously, or if SYSTEM is called with one input argument and one or more output arguments, the output from the command is returned.  Otherwise, if the subprocess is executed synchronously, its output is sent to the standard output.  To send the output of a command executed with SYSTEM through the pager, use a command like

          disp (system (cmd, 1));

     or

          printf ("%s\n", system (cmd, 1));

     The `system' function can return two values.  The first is the exit status of the command and the second is any output from the command that was written to the standard output stream.  For example,

          [status, output] = system ("echo foo; exit 2");

     will set the variable `output' to the string `foo', and the variable `status' to the integer `2'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 44
Execute a shell command specified by STRING.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
atexit
# name: <cell-element>
# type: string
# elements: 1
# length: 961
 -- Built-in Function:  atexit (FCN)
 -- Built-in Function:  atexit (FCN, FLAG)
     Register a function to be called when Octave exits.  For example,

          function last_words ()
            disp ("Bye bye");
          endfunction
          atexit ("last_words");

     will print the message "Bye bye" when Octave exits.

     The additional argument FLAG will register or unregister FCN from the list of functions to be called when Octave exits.  If FLAG is true, the function is registered, and if FLAG is false, it is unregistered.  For example, after registering the function `last_words' above,

          atexit ("last_words", false);

     will remove the function from the list and Octave will not call `last_words' when it exits.

     Note that `atexit' only removes the first occurrence of a function from the list, so if a function was placed in the list multiple times with `atexit', it must also be removed from the list multiple times.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 51
Register a function to be called when Octave exits.

# name: <cell-element>
# type: string
# elements: 1
# length: 18
octave_config_info
# name: <cell-element>
# type: string
# elements: 1
# length: 238
 -- Built-in Function:  octave_config_info (OPTION)
     Return a structure containing configuration and installation information for Octave.

     if OPTION is a string, return the configuration information for the specified option.

   
# name: <cell-element>
# type: string
# elements: 1
# length: 84
Return a structure containing configuration and installation information for Octave.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
tsearch
# name: <cell-element>
# type: string
# elements: 1
# length: 276
 -- Loadable Function: IDX = tsearch (X, Y, T, XI, YI)
     Searches for the enclosing Delaunay convex hull.  For `T = delaunay (X, Y)', finds the index in T containing the points `(XI, YI)'.  For points outside the convex hull, IDX is NaN.  See also: delaunay, delaunayn.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 48
Searches for the enclosing Delaunay convex hull.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
typecast
# name: <cell-element>
# type: string
# elements: 1
# length: 505
 -- Loadable Function:  typecast (X, TYPE)
     Convert from one datatype to another without changing the underlying data.  The argument TYPE defines the type of the return argument and must be one of 'uint8', 'uint16', 'uint32', 'uint64', 'int8', 'int16', 'int32', 'int64', 'single' or 'double'.

     An example of the use of typecast on a little-endian machine is

          X = uint16 ([1, 65535]);
          typecast (X, 'uint8')
          => [   0,   1, 255, 255]
     See also: cast, swapbytes.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 74
Convert from one datatype to another without changing the underlying data.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
urlwrite
# name: <cell-element>
# type: string
# elements: 1
# length: 1338
 -- Loadable Function:  urlwrite (URL, LOCALFILE)
 -- Loadable Function: F = urlwrite (URL, LOCALFILE)
 -- Loadable Function: [F, SUCCESS] = urlwrite (URL, LOCALFILE)
 -- Loadable Function: [F, SUCCESS, MESSAGE] = urlwrite (URL, LOCALFILE)
     Download a remote file specified by its URL and save it as LOCALFILE.  For example,

          urlwrite ("ftp://ftp.octave.org/pub/octave/README",
                    "README.txt");

     The full path of the downloaded file is returned in F.  The variable SUCCESS is 1 if the download was successful, otherwise it is 0 in which case MESSAGE contains an error message.  If no output argument is specified and if an error occurs, then the error is signaled through Octave's error handling mechanism.

     This function uses libcurl.  Curl supports, among others, the HTTP, FTP and FILE protocols.  Username and password may be specified in the URL, for example:

          urlwrite ("http://username:password@example.com/file.txt",
                    "file.txt");

     GET and POST requests can be specified by METHOD and PARAM.  The parameter METHOD is either `get' or `post' and PARAM is a cell array of parameter and value pairs.  For example:

          urlwrite ("http://www.google.com/search", "search.html",
                    "get", {"query", "octave"});
     See also: urlread.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 69
Download a remote file specified by its URL and save it as LOCALFILE.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
urlread
# name: <cell-element>
# type: string
# elements: 1
# length: 1195
 -- Loadable Function: S = urlread (URL)
 -- Loadable Function: [S, SUCCESS] = urlread (URL)
 -- Loadable Function: [S, SUCCESS, MESSAGE] = urlread (URL)
 -- Loadable Function: [...] = urlread (URL, METHOD, PARAM)
     Download a remote file specified by its URL and return its content in string S.  For example,

          s = urlread ("ftp://ftp.octave.org/pub/octave/README");

     The variable SUCCESS is 1 if the download was successful, otherwise it is 0 in which case MESSAGE contains an error message.  If no output argument is specified and if an error occurs, then the error is signaled through Octave's error handling mechanism.

     This function uses libcurl.  Curl supports, among others, the HTTP, FTP and FILE protocols.  Username and password may be specified in the URL.  For example,

          s = urlread ("http://user:password@example.com/file.txt");

     GET and POST requests can be specified by METHOD and PARAM.  The parameter METHOD is either `get' or `post' and PARAM is a cell array of parameter and value pairs.  For example,

          s = urlread ("http://www.google.com/search", "get",
                       {"query", "octave"});
     See also: urlwrite.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 79
Download a remote file specified by its URL and return its content in string S.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
isvarname
# name: <cell-element>
# type: string
# elements: 1
# length: 94
 -- Built-in Function:  isvarname (NAME)
     Return true if NAME is a valid variable name
   
# name: <cell-element>
# type: string
# elements: 1
# length: 46
Return true if NAME is a valid variable name  

# name: <cell-element>
# type: string
# elements: 1
# length: 16
file_in_loadpath
# name: <cell-element>
# type: string
# elements: 1
# length: 648
 -- Built-in Function:  file_in_loadpath (FILE)
 -- Built-in Function:  file_in_loadpath (FILE, "all")
     Return the absolute name of FILE if it can be found in the list of directories specified by `path'.  If no file is found, return an empty matrix.

     If the first argument is a cell array of strings, search each directory of the loadpath for element of the cell array and return the first that matches.

     If the second optional argument `"all"' is supplied, return a cell array containing the list of all files that have the same name in the path.  If no files are found, return an empty cell array.  See also: file_in_path, path.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 99
Return the absolute name of FILE if it can be found in the list of directories specified by `path'.

# name: <cell-element>
# type: string
# elements: 1
# length: 12
file_in_path
# name: <cell-element>
# type: string
# elements: 1
# length: 794
 -- Built-in Function:  file_in_path (PATH, FILE)
 -- Built-in Function:  file_in_path (PATH, FILE, "all")
     Return the absolute name of FILE if it can be found in PATH.  The value of PATH should be a colon-separated list of directories in the format described for `path'.  If no file is found, return an empty matrix.  For example,

          file_in_path (EXEC_PATH, "sh")
               => "/bin/sh"

     If the second argument is a cell array of strings, search each directory of the path for element of the cell array and return the first that matches.

     If the third optional argument `"all"' is supplied, return a cell array containing the list of all files that have the same name in the path.  If no files are found, return an empty cell array.  See also: file_in_loadpath.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 60
Return the absolute name of FILE if it can be found in PATH.

# name: <cell-element>
# type: string
# elements: 1
# length: 17
do_string_escapes
# name: <cell-element>
# type: string
# elements: 1
# length: 120
 -- Built-in Function:  do_string_escapes (STRING)
     Convert special characters in STRING to their escaped forms.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 60
Convert special characters in STRING to their escaped forms.

# name: <cell-element>
# type: string
# elements: 1
# length: 19
undo_string_escapes
# name: <cell-element>
# type: string
# elements: 1
# length: 732
 -- Built-in Function:  undo_string_escapes (S)
     Converts special characters in strings back to their escaped forms.  For example, the expression

          bell = "\a";

     assigns the value of the alert character (control-g, ASCII code 7) to the string variable `bell'.  If this string is printed, the system will ring the terminal bell (if it is possible).  This is normally the desired outcome.  However, sometimes it is useful to be able to print the original representation of the string, with the special characters replaced by their escape sequences.  For example,

          octave:13> undo_string_escapes (bell)
          ans = \a

     replaces the unprintable alert character with its printable representation.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 67
Converts special characters in strings back to their escaped forms.

# name: <cell-element>
# type: string
# elements: 1
# length: 20
is_absolute_filename
# name: <cell-element>
# type: string
# elements: 1
# length: 105
 -- Built-in Function:  is_absolute_filename (FILE)
     Return true if FILE is an absolute filename.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 44
Return true if FILE is an absolute filename.

# name: <cell-element>
# type: string
# elements: 1
# length: 27
is_rooted_relative_filename
# name: <cell-element>
# type: string
# elements: 1
# length: 118
 -- Built-in Function:  is_rooted_relative_filename (FILE)
     Return true if FILE is a rooted-relative filename.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 50
Return true if FILE is a rooted-relative filename.

# name: <cell-element>
# type: string
# elements: 1
# length: 22
make_absolute_filename
# name: <cell-element>
# type: string
# elements: 1
# length: 127
 -- Built-in Function:  make_absolute_filename (FILE)
     Return the full name of FILE, relative to the current directory.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 64
Return the full name of FILE, relative to the current directory.

# name: <cell-element>
# type: string
# elements: 1
# length: 16
find_dir_in_path
# name: <cell-element>
# type: string
# elements: 1
# length: 318
 -- Built-in Function:  find_dir_in_path (DIR)
     Return the full name of the path element matching DIR.  The match is performed at the end of each path element.  For example, if DIR is `"foo/bar"', it matches the path element `"/some/dir/foo/bar"', but not `"/some/dir/foo/bar/baz"' or `"/some/dir/allfoo/bar"'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 54
Return the full name of the path element matching DIR.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
errno
# name: <cell-element>
# type: string
# elements: 1
# length: 339
 -- Built-in Function: ERR = errno ()
 -- Built-in Function: ERR = errno (VAL)
 -- Built-in Function: ERR = errno (NAME)
     Return the current value of the system-dependent variable errno, set its value to VAL and return the previous value, or return the named error code given NAME as a character string, or -1 if NAME is not found.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 209
Return the current value of the system-dependent variable errno, set its value to VAL and return the previous value, or return the named error code given NAME as a character string, or -1 if NAME is not found.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
errno_list
# name: <cell-element>
# type: string
# elements: 1
# length: 111
 -- Built-in Function:  errno_list ()
     Return a structure containing the system-dependent errno values.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 64
Return a structure containing the system-dependent errno values.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
isglobal
# name: <cell-element>
# type: string
# elements: 1
# length: 184
 -- Built-in Function:  isglobal (NAME)
     Return 1 if NAME is globally visible.  Otherwise, return 0.  For example,

          global x
          isglobal ("x")
               => 1

# name: <cell-element>
# type: string
# elements: 1
# length: 37
Return 1 if NAME is globally visible.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
is_global
# name: <cell-element>
# type: string
# elements: 1
# length: 106
 -- Built-in Function:  isglobal (NAME)
     This function has been deprecated.  Use isglobal instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
exist
# name: <cell-element>
# type: string
# elements: 1
# length: 1031
 -- Built-in Function:  exist (NAME, TYPE)
     Return 1 if the name exists as a variable, 2 if the name is an absolute file name, an ordinary file in Octave's `path', or (after appending `.m') a function file in Octave's `path', 3 if the name is a `.oct' or `.mex' file in Octave's `path', 5 if the name is a built-in function, 7 if the name is a directory, or 103 if the name is a function not associated with a file (entered on the command line).

     Otherwise, return 0.

     This function also returns 2 if a regular file called NAME exists in Octave's search path.  If you want information about other types of files, you should use some combination of the functions `file_in_path' and `stat' instead.

     If the optional argument TYPE is supplied, check only for symbols of the specified type.  Valid types are

    `"var"'
          Check only for variables.

    `"builtin"'
          Check only for built-in functions.

    `"file"'
          Check only for files.

    `"dir"'
          Check only for directories.

# name: <cell-element>
# type: string
# elements: 1
# length: 142
Return 1 if the name exists as a variable, 2 if the name is an absolute file name, an ordinary file in Octave's `path', or (after appending `.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
who
# name: <cell-element>
# type: string
# elements: 1
# length: 1046
 -- Command: who
 -- Command: who pattern ...
 -- Command: who option pattern ...
 -- Command: C = who("pattern", ...)
     List currently defined variables matching the given patterns.  Valid pattern syntax is the same as described for the `clear' command.  If no patterns are supplied, all variables are listed.  By default, only variables visible in the local scope are displayed.

     The following are valid options but may not be combined.

    `global'
          List variables in the global scope rather than the current scope.

    `-regexp'
          The patterns are considered to be regular expressions when matching the variables to display.  The same pattern syntax accepted by the `regexp' function is used.

    `-file'
          The next argument is treated as a filename.  All variables found within the specified file are listed.  No patterns are accepted when reading variables from a file.

     If called as a function, return a cell array of defined variable names matching the given patterns.  See also: whos, regexp.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 61
List currently defined variables matching the given patterns.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
whos
# name: <cell-element>
# type: string
# elements: 1
# length: 1377
 -- Command: whos
 -- Command: whos pattern ...
 -- Command: whos option pattern ...
 -- Command: S = whos("pattern", ...)
     Provide detailed information on currently defined variables matching the given patterns.  Options and pattern syntax are the same as for the `who' command.  Extended information about each variable is summarized in a table with the following default entries.

    Attr
          Attributes of the listed variable.  Possible attributes are:
         blank
               Variable in local scope

         `g'
               Variable with global scope

         `p'
               Persistent variable

    Name
          The name of the variable.

    Size
          The logical size of the variable.  A scalar is 1x1, a vector is 1xN or Nx1, a 2-D matrix is MxN.

    Bytes
          The amount of memory currently used to store the variable.

    Class
          The class of the variable.  Examples include double, single, char, uint16, cell, and struct.

     The table can be customized to display more or less information through the function `whos_line_format'.

     If `whos' is called as a function, return a struct array of defined variable names matching the given patterns.  Fields in the structure describing each variable are: name, size, bytes, class, global, sparse, complex, nesting, persistent.  See also: who, whos_line_format.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 88
Provide detailed information on currently defined variables matching the given patterns.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
mlock
# name: <cell-element>
# type: string
# elements: 1
# length: 151
 -- Built-in Function:  mlock ()
     Lock the current function into memory so that it can't be cleared.  See also: munlock, mislocked, persistent.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 66
Lock the current function into memory so that it can't be cleared.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
munlock
# name: <cell-element>
# type: string
# elements: 1
# length: 173
 -- Built-in Function:  munlock (FCN)
     Unlock the named function.  If no function is named then unlock the current function.  See also: mlock, mislocked, persistent.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 26
Unlock the named function.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
mislocked
# name: <cell-element>
# type: string
# elements: 1
# length: 209
 -- Built-in Function:  mislocked (FCN)
     Return true if the named function is locked.  If no function is named then return true if the current function is locked.  See also: mlock, munlock, persistent.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 44
Return true if the named function is locked.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
clear
# name: <cell-element>
# type: string
# elements: 1
# length: 2049
 -- Command: clear [options] pattern ...
     Delete the names matching the given patterns from the symbol table.  The pattern may contain the following special characters:

    `?'
          Match any single character.

    `*'
          Match zero or more characters.

    `[ LIST ]'
          Match the list of characters specified by LIST.  If the first character is `!' or `^', match all characters except those specified by LIST.  For example, the pattern `[a-zA-Z]' will match all lower and upper case alphabetic characters.

     For example, the command

          clear foo b*r

     clears the name `foo' and all names that begin with the letter `b' and end with the letter `r'.

     If `clear' is called without any arguments, all user-defined variables (local and global) are cleared from the symbol table.  If `clear' is called with at least one argument, only the visible names matching the arguments are cleared.  For example, suppose you have defined a function `foo', and then hidden it by performing the assignment `foo = 2'.  Executing the command `clear foo' once will clear the variable definition and restore the definition of `foo' as a function.  Executing `clear foo' a second time will clear the function definition.

     The following options are available in both long and short form
    `-all, -a'
          Clears all local and global user-defined variables and all functions from the symbol table.

    `-exclusive, -x'
          Clears the variables that don't match the following pattern.

    `-functions, -f'
          Clears the function names and the built-in symbols names.

    `-global, -g'
          Clears the global symbol names.

    `-variables, -v'
          Clears the local variable names.

    `-classes, -c'
          Clears the class structure table and clears all objects.

    `-regexp, -r'
          The arguments are treated as regular expressions as any variables that match will be cleared.
     With the exception of `exclusive', all long options can be used without the dash as well.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 67
Delete the names matching the given patterns from the symbol table.

# name: <cell-element>
# type: string
# elements: 1
# length: 16
whos_line_format
# name: <cell-element>
# type: string
# elements: 1
# length: 1622
 -- Built-in Function: VAL = whos_line_format ()
 -- Built-in Function: OLD_VAL = whos_line_format (NEW_VAL)
     Query or set the format string used by the command `whos'.

     A full format string is:

          %[modifier]<command>[:width[:left-min[:balance]]];

     The following command sequences are available:

    `%a'
          Prints attributes of variables (g=global, p=persistent, f=formal parameter, a=automatic variable).

    `%b'
          Prints number of bytes occupied by variables.

    `%c'
          Prints class names of variables.

    `%e'
          Prints elements held by variables.

    `%n'
          Prints variable names.

    `%s'
          Prints dimensions of variables.

    `%t'
          Prints type names of variables.

     Every command may also have an alignment modifier:

    `l'
          Left alignment.

    `r'
          Right alignment (default).

    `c'
          Column-aligned (only applicable to command %s).

     The `width' parameter is a positive integer specifying the minimum number of columns used for printing.  No maximum is needed as the field will auto-expand as required.

     The parameters `left-min' and `balance' are only available when the column-aligned modifier is used with the command `%s'.  `balance' specifies the column number within the field width which will be aligned between entries.  Numbering starts from 0 which indicates the leftmost column.  `left-min' specifies the minimum field width to the left of the specified balance column.

     The default format is `"  %a:4; %ln:6; %cs:16:6:1;  %rb:12;  %lc:-1;\n"'.  See also: whos.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 58
Query or set the format string used by the command `whos'.

# name: <cell-element>
# type: string
# elements: 1
# length: 13
geometric_rnd
# name: <cell-element>
# type: string
# elements: 1
# length: 349
 -- Function File:  geometric_rnd (P, R, C)
 -- Function File:  geometric_rnd (P, SZ)
     Return an R by C matrix of random samples from the geometric distribution with parameter P, which must be a scalar or of size R by C.

     If R and C are given create a matrix with R rows and C columns.  Or if SZ is a vector, create a matrix of size SZ.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 133
Return an R by C matrix of random samples from the geometric distribution with parameter P, which must be a scalar or of size R by C.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
meshdom
# name: <cell-element>
# type: string
# elements: 1
# length: 103
 -- Function File:  meshdom (X, Y)
     This function has been deprecated.  Use `meshgrid' instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
is_square
# name: <cell-element>
# type: string
# elements: 1
# length: 100
 -- Function File:  is_square (X)
     This function has been deprecated.  Use issquare instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
poisson_pdf
# name: <cell-element>
# type: string
# elements: 1
# length: 178
 -- Function File:  poisson_pdf (X, LAMBDA)
     For each element of X, compute the probability density function (PDF) at X of the poisson distribution with parameter LAMBDA.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 125
For each element of X, compute the probability density function (PDF) at X of the poisson distribution with parameter LAMBDA.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
spkron
# name: <cell-element>
# type: string
# elements: 1
# length: 98
 -- Function File:  spkron (A, B)
     This function has been deprecated.  Use `kron' instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
spcholinv
# name: <cell-element>
# type: string
# elements: 1
# length: 101
 -- Function File:  spcholinv (U)
     This function has been deprecated.  Use `cholinv' instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
weibull_cdf
# name: <cell-element>
# type: string
# elements: 1
# length: 260
 -- Function File:  weibull_cdf (X, SHAPE, SCALE)
     Compute the cumulative distribution function (CDF) at X of the Weibull distribution with shape parameter SCALE and scale parameter SHAPE, which is

          1 - exp(-(x/shape)^scale)

     for X >= 0.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 147
Compute the cumulative distribution function (CDF) at X of the Weibull distribution with shape parameter SCALE and scale parameter SHAPE, which is 

# name: <cell-element>
# type: string
# elements: 1
# length: 7
weibpdf
# name: <cell-element>
# type: string
# elements: 1
# length: 297
 -- Function File:  weibpdf (X, SCALE, SHAPE)
     Compute the probability density function (PDF) at X of the Weibull distribution with shape parameter SCALE and scale parameter SHAPE which is given by

             scale * shape^(-scale) * x^(scale-1) * exp(-(x/shape)^scale)

     for X > 0.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 151
Compute the probability density function (PDF) at X of the Weibull distribution with shape parameter SCALE and scale parameter SHAPE which is given by 

# name: <cell-element>
# type: string
# elements: 1
# length: 10
normal_cdf
# name: <cell-element>
# type: string
# elements: 1
# length: 222
 -- Function File:  normal_cdf (X, M, V)
     For each element of X, compute the cumulative distribution function (CDF) at X of the normal distribution with mean M and variance V.

     Default values are M = 0, V = 1.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 133
For each element of X, compute the cumulative distribution function (CDF) at X of the normal distribution with mean M and variance V.

# name: <cell-element>
# type: string
# elements: 1
# length: 13
chisquare_inv
# name: <cell-element>
# type: string
# elements: 1
# length: 180
 -- Function File:  chisquare_inv (X, N)
     For each element of X, compute the quantile (the inverse of the CDF) at X of the chisquare distribution with N degrees of freedom.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 130
For each element of X, compute the quantile (the inverse of the CDF) at X of the chisquare distribution with N degrees of freedom.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
splu
# name: <cell-element>
# type: string
# elements: 1
# length: 299
 -- Loadable Function: [L, U] = splu (A)
 -- Loadable Function: [L, U, P] = splu (A)
 -- Loadable Function: [L, U, P, Q] = splu (A)
 -- Loadable Function: [L, U, P, Q] = splu (..., THRES)
 -- Loadable Function: [L, U, P] = splu (..., Q)
     This function has been deprecated.  Use `lu' instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
gamma_pdf
# name: <cell-element>
# type: string
# elements: 1
# length: 173
 -- Function File:  gamma_pdf (X, A, B)
     For each element of X, return the probability density function (PDF) at X of the Gamma distribution with parameters A and B.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 124
For each element of X, return the probability density function (PDF) at X of the Gamma distribution with parameters A and B.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
t_inv
# name: <cell-element>
# type: string
# elements: 1
# length: 167
 -- Function File:  t_inv (X, N)
     For each component of X, compute the quantile (the inverse of the CDF) at X of the t (Student) distribution with parameter N.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 125
For each component of X, compute the quantile (the inverse of the CDF) at X of the t (Student) distribution with parameter N.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
pascal_pdf
# name: <cell-element>
# type: string
# elements: 1
# length: 329
 -- Function File:  pascal_pdf (X, N, P)
     For each element of X, compute the probability density function (PDF) at X of the Pascal (negative binomial) distribution with parameters N and P.

     The number of failures in a Bernoulli experiment with success probability P before the N-th success follows this distribution.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 146
For each element of X, compute the probability density function (PDF) at X of the Pascal (negative binomial) distribution with parameters N and P.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
isstr
# name: <cell-element>
# type: string
# elements: 1
# length: 94
 -- Function File:  isstr (A)
     This function has been deprecated.  Use ischar instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
is_struct
# name: <cell-element>
# type: string
# elements: 1
# length: 100
 -- Function File:  is_struct (A)
     This function has been deprecated.  Use isstruct instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 13
chisquare_pdf
# name: <cell-element>
# type: string
# elements: 1
# length: 181
 -- Function File:  chisquare_pdf (X, N)
     For each element of X, compute the probability density function (PDF) at X of the chisquare distribution with N degrees of freedom.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 131
For each element of X, compute the probability density function (PDF) at X of the chisquare distribution with N degrees of freedom.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
spdiag
# name: <cell-element>
# type: string
# elements: 1
# length: 113
 -- Function File:  spdiag (V, K)
     This function has been deprecated.  Use `sparse (diag (...))' instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
setstr
# name: <cell-element>
# type: string
# elements: 1
# length: 93
 -- Function File:  setstr (S)
     This function has been deprecated.  Use char instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
spmin
# name: <cell-element>
# type: string
# elements: 1
# length: 146
 -- Mapping Function:  spmin (X, Y, DIM)
 -- Mapping Function: [W, IW] = spmin (X)
     This function has been deprecated.  Use `min' instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
uniform_cdf
# name: <cell-element>
# type: string
# elements: 1
# length: 182
 -- Function File:  uniform_cdf (X, A, B)
     Return the CDF at X of the uniform distribution on [A, B], i.e., PROB (uniform (A, B) <= x).

     Default values are A = 0, B = 1.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 61
Return the CDF at X of the uniform distribution on [A, B], i.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
weibull_pdf
# name: <cell-element>
# type: string
# elements: 1
# length: 301
 -- Function File:  weibull_pdf (X, SHAPE, SCALE)
     Compute the probability density function (PDF) at X of the Weibull distribution with shape parameter SCALE and scale parameter SHAPE which is given by

             scale * shape^(-scale) * x^(scale-1) * exp(-(x/shape)^scale)

     for X > 0.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 151
Compute the probability density function (PDF) at X of the Weibull distribution with shape parameter SCALE and scale parameter SHAPE which is given by 

# name: <cell-element>
# type: string
# elements: 1
# length: 9
spcumprod
# name: <cell-element>
# type: string
# elements: 1
# length: 106
 -- Function File:  spcumprod (X, DIM)
     This function has been deprecated.  Use `cumprod' instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
spprod
# name: <cell-element>
# type: string
# elements: 1
# length: 100
 -- Function File:  spprod (X, DIM)
     This function has been deprecated.  Use `prod' instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
str2mat
# name: <cell-element>
# type: string
# elements: 1
# length: 349
 -- Function File:  str2mat (S_1, ..., S_N)
     Return a matrix containing the strings S_1, ..., S_N as its rows.  Each string is padded with blanks in order to form a valid matrix.

     This function is modelled after MATLAB.  In Octave, you can create a matrix of strings by `[S_1; ...; S_N]' even if the strings are not all the same length.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 45
Return a matrix containing the strings S_1, .

# name: <cell-element>
# type: string
# elements: 1
# length: 10
is_complex
# name: <cell-element>
# type: string
# elements: 1
# length: 102
 -- Function File:  is_complex (A)
     This function has been deprecated.  Use iscomplex instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 13
lognormal_inv
# name: <cell-element>
# type: string
# elements: 1
# length: 343
 -- Function File:  lognormal_inv (X, A, V)
     For each element of X, compute the quantile (the inverse of the CDF) at X of the lognormal distribution with parameters A and V.  If a random variable follows this distribution, its logarithm is normally distributed with mean `log (A)' and variance V.

     Default values are A = 1, V = 1.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 128
For each element of X, compute the quantile (the inverse of the CDF) at X of the lognormal distribution with parameters A and V.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
t_pdf
# name: <cell-element>
# type: string
# elements: 1
# length: 175
 -- Function File:  t_pdf (X, N)
     For each element of X, compute the probability density function (PDF) at X of the T (Student) distribution with N degrees of freedom.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 133
For each element of X, compute the probability density function (PDF) at X of the T (Student) distribution with N degrees of freedom.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
com2str
# name: <cell-element>
# type: string
# elements: 1
# length: 319
 -- Function File:  com2str (ZZ, FLG)
     This function has been deprecated.  Use num2str instead.

     Convert complex number to a string.  *Inputs*
    ZZ
          complex number

    FLG
          format flag 0 (default):            -1, 0, 1,   1i,   1 + 0.5i 1 (for use with zpout): -1, 0, + 1, + 1i, + 1 + 0.5i

# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
polyinteg
# name: <cell-element>
# type: string
# elements: 1
# length: 308
 -- Function File:  polyinteg (C)
     Return the coefficients of the integral of the polynomial whose coefficients are represented by the vector C.

     The constant of integration is set to zero.  See also: polyint, poly, polyderiv, polyreduce, roots, conv, deconv, residue, filter, polyval, polyvalm.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 109
Return the coefficients of the integral of the polynomial whose coefficients are represented by the vector C.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
f_rnd
# name: <cell-element>
# type: string
# elements: 1
# length: 388
 -- Function File:  f_rnd (M, N, R, C)
 -- Function File:  f_rnd (M, N, SZ)
     Return an R by C matrix of random samples from the F distribution with M and N degrees of freedom.  Both M and N must be scalar or of size R by C.  If SZ is a vector the random samples are in a matrix of size SZ.

     If R and C are omitted, the size of the result matrix is the common size of M and N.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 98
Return an R by C matrix of random samples from the F distribution with M and N degrees of freedom.

# name: <cell-element>
# type: string
# elements: 1
# length: 15
exponential_rnd
# name: <cell-element>
# type: string
# elements: 1
# length: 383
 -- Function File:  exponential_rnd (LAMBDA, R, C)
 -- Function File:  exponential_rnd (LAMBDA, SZ)
     Return an R by C matrix of random samples from the exponential distribution with parameter LAMBDA, which must be a scalar or of size R by C.  Or if SZ is a vector, create a matrix of size SZ.

     If R and C are omitted, the size of the result matrix is the size of LAMBDA.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 140
Return an R by C matrix of random samples from the exponential distribution with parameter LAMBDA, which must be a scalar or of size R by C.

# name: <cell-element>
# type: string
# elements: 1
# length: 13
lognormal_rnd
# name: <cell-element>
# type: string
# elements: 1
# length: 389
 -- Function File:  lognormal_rnd (A, V, R, C)
 -- Function File:  lognormal_rnd (A, V, SZ)
     Return an R by C matrix of random samples from the lognormal distribution with parameters A and V.  Both A and V must be scalar or of size R by C.  Or if SZ is a vector, create a matrix of size SZ.

     If R and C are omitted, the size of the result matrix is the common size of A and V.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 98
Return an R by C matrix of random samples from the lognormal distribution with parameters A and V.

# name: <cell-element>
# type: string
# elements: 1
# length: 12
binomial_inv
# name: <cell-element>
# type: string
# elements: 1
# length: 154
 -- Function File:  binomial_inv (X, N, P)
     For each element of X, compute the quantile at X of the binomial distribution with parameters N and P.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 102
For each element of X, compute the quantile at X of the binomial distribution with parameters N and P.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
poisson_rnd
# name: <cell-element>
# type: string
# elements: 1
# length: 275
 -- Function File:  poisson_rnd (LAMBDA, R, C)
     Return an R by C matrix of random samples from the Poisson distribution with parameter LAMBDA, which must be a scalar or of size R by C.

     If R and C are omitted, the size of the result matrix is the size of LAMBDA.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 136
Return an R by C matrix of random samples from the Poisson distribution with parameter LAMBDA, which must be a scalar or of size R by C.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
weibinv
# name: <cell-element>
# type: string
# elements: 1
# length: 187
 -- Function File:  weibinv (X, SCALE, SHAPE)
     Compute the quantile (the inverse of the CDF) at X of the Weibull distribution with shape parameter SCALE and scale parameter SHAPE.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 132
Compute the quantile (the inverse of the CDF) at X of the Weibull distribution with shape parameter SCALE and scale parameter SHAPE.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
spcumsum
# name: <cell-element>
# type: string
# elements: 1
# length: 104
 -- Function File:  spcumsum (X, DIM)
     This function has been deprecated.  Use `cumsum' instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
is_matrix
# name: <cell-element>
# type: string
# elements: 1
# length: 100
 -- Function File:  is_matrix (A)
     This function has been deprecated.  Use ismatrix instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 15
exponential_inv
# name: <cell-element>
# type: string
# elements: 1
# length: 185
 -- Function File:  exponential_inv (X, LAMBDA)
     For each element of X, compute the quantile (the inverse of the CDF) at X of the exponential distribution with parameter LAMBDA.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 128
For each element of X, compute the quantile (the inverse of the CDF) at X of the exponential distribution with parameter LAMBDA.

# name: <cell-element>
# type: string
# elements: 1
# length: 13
geometric_inv
# name: <cell-element>
# type: string
# elements: 1
# length: 146
 -- Function File:  geometric_inv (X, P)
     For each element of X, compute the quantile at X of the geometric distribution with parameter P.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 96
For each element of X, compute the quantile at X of the geometric distribution with parameter P.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
spatan2
# name: <cell-element>
# type: string
# elements: 1
# length: 100
 -- Function File:  spatan2 (Y, X)
     This function has been deprecated.  Use `atan2' instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 13
lognormal_cdf
# name: <cell-element>
# type: string
# elements: 1
# length: 348
 -- Function File:  lognormal_cdf (X, A, V)
     For each element of X, compute the cumulative distribution function (CDF) at X of the lognormal distribution with parameters A and V.  If a random variable follows this distribution, its logarithm is normally distributed with mean `log (A)' and variance V.

     Default values are A = 1, V = 1.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 133
For each element of X, compute the cumulative distribution function (CDF) at X of the lognormal distribution with parameters A and V.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
gamma_cdf
# name: <cell-element>
# type: string
# elements: 1
# length: 178
 -- Function File:  gamma_cdf (X, A, B)
     For each element of X, compute the cumulative distribution function (CDF) at X of the Gamma distribution with parameters A and B.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 129
For each element of X, compute the cumulative distribution function (CDF) at X of the Gamma distribution with parameters A and B.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
clearplot
# name: <cell-element>
# type: string
# elements: 1
# length: 94
 -- Function File:  clearplot ()
     This function has been deprecated.  Use clf instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 14
unmark_command
# name: <cell-element>
# type: string
# elements: 1
# length: 133
 -- Built-in Function:  unmark_command (NAME)
     This function is obsolete and will be removed from a future version of Octave.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 78
This function is obsolete and will be removed from a future version of Octave.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
dmult
# name: <cell-element>
# type: string
# elements: 1
# length: 163
 -- Function File:  dmult (A, B)
     This function has been deprecated.  Use the direct syntax `diag(A)*B' which is more readable and now also more efficient.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 15
struct_contains
# name: <cell-element>
# type: string
# elements: 1
# length: 114
 -- Function File:  struct_contains (EXPR, NAME)
     This function has been deprecated.  Use isfield instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
normal_rnd
# name: <cell-element>
# type: string
# elements: 1
# length: 345
 -- Function File:  normal_rnd (M, V, R, C)
 -- Function File:  normal_rnd (M, V, SZ)
     Return an R by C  or `size (SZ)' matrix of random samples from the normal distribution with parameters M and V.  Both M and V must be scalar or of size R by C.

     If R and C are omitted, the size of the result matrix is the common size of M and V.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 110
Return an R by C or `size (SZ)' matrix of random samples from the normal distribution with parameters M and V.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
spmax
# name: <cell-element>
# type: string
# elements: 1
# length: 146
 -- Mapping Function:  spmax (X, Y, DIM)
 -- Mapping Function: [W, IW] = spmax (X)
     This function has been deprecated.  Use `max' instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
spchol2inv
# name: <cell-element>
# type: string
# elements: 1
# length: 103
 -- Function File:  spchol2inv (U)
     This function has been deprecated.  Use `chol2inv' instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
is_bool
# name: <cell-element>
# type: string
# elements: 1
# length: 96
 -- Function File:  is_bool (A)
     This function has been deprecated.  Use isbool instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
gamma_rnd
# name: <cell-element>
# type: string
# elements: 1
# length: 343
 -- Function File:  gamma_rnd (A, B, R, C)
 -- Function File:  gamma_rnd (A, B, SZ)
     Return an R by C or a `size (SZ)' matrix of random samples from the Gamma distribution with parameters A and B.  Both A and B must be scalar or of size R by C.

     If R and C are omitted, the size of the result matrix is the common size of A and B.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 111
Return an R by C or a `size (SZ)' matrix of random samples from the Gamma distribution with parameters A and B.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
pascal_inv
# name: <cell-element>
# type: string
# elements: 1
# length: 303
 -- Function File:  pascal_inv (X, N, P)
     For each element of X, compute the quantile at X of the Pascal (negative binomial) distribution with parameters N and P.

     The number of failures in a Bernoulli experiment with success probability P before the N-th success follows this distribution.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 120
For each element of X, compute the quantile at X of the Pascal (negative binomial) distribution with parameters N and P.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
uniform_pdf
# name: <cell-element>
# type: string
# elements: 1
# length: 172
 -- Function File:  uniform_pdf (X, A, B)
     For each element of X, compute the PDF at X of the uniform distribution on [A, B].

     Default values are A = 0, B = 1.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 82
For each element of X, compute the PDF at X of the uniform distribution on [A, B].

# name: <cell-element>
# type: string
# elements: 1
# length: 15
exponential_cdf
# name: <cell-element>
# type: string
# elements: 1
# length: 243
 -- Function File:  exponential_cdf (X, LAMBDA)
     For each element of X, compute the cumulative distribution function (CDF) at X of the exponential distribution with parameter LAMBDA.

     The arguments can be of common size or scalar.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 133
For each element of X, compute the cumulative distribution function (CDF) at X of the exponential distribution with parameter LAMBDA.

# name: <cell-element>
# type: string
# elements: 1
# length: 18
hypergeometric_inv
# name: <cell-element>
# type: string
# elements: 1
# length: 262
 -- Function File:  hypergeometric_inv (X, M, T, N)
     For each element of X, compute the quantile at X of the hypergeometric distribution with parameters M, T, and N.

     The parameters M, T, and N must positive integers with M and N not greater than T.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 112
For each element of X, compute the quantile at X of the hypergeometric distribution with parameters M, T, and N.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
wiener_rnd
# name: <cell-element>
# type: string
# elements: 1
# length: 435
 -- Function File:  wiener_rnd (T, D, N)
     Return a simulated realization of the D-dimensional Wiener Process on the interval [0, T].  If D is omitted, D = 1 is used.  The first column of the return matrix contains time, the remaining columns contain the Wiener process.

     The optional parameter N gives the number of summands used for simulating the process over an interval of length 1.  If N is omitted, N = 1000 is used.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 90
Return a simulated realization of the D-dimensional Wiener Process on the interval [0, T].

# name: <cell-element>
# type: string
# elements: 1
# length: 6
spfind
# name: <cell-element>
# type: string
# elements: 1
# length: 231
 -- Loadable Function:  spfind (X)
 -- Loadable Function:  spfind (X, N)
 -- Loadable Function:  spfind (X, N, DIRECTION)
 -- Loadable Function: [I, J, V spfind (...)
     This function has been deprecated.  Use `find' instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
iscommand
# name: <cell-element>
# type: string
# elements: 1
# length: 128
 -- Built-in Function:  iscommand (NAME)
     This function is obsolete and will be removed from a future version of Octave.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 78
This function is obsolete and will be removed from a future version of Octave.

# name: <cell-element>
# type: string
# elements: 1
# length: 13
lognormal_pdf
# name: <cell-element>
# type: string
# elements: 1
# length: 344
 -- Function File:  lognormal_pdf (X, A, V)
     For each element of X, compute the probability density function (PDF) at X of the lognormal distribution with parameters A and V.  If a random variable follows this distribution, its logarithm is normally distributed with mean `log (A)' and variance V.

     Default values are A = 1, V = 1.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 129
For each element of X, compute the probability density function (PDF) at X of the lognormal distribution with parameters A and V.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
beta_pdf
# name: <cell-element>
# type: string
# elements: 1
# length: 141
 -- Function File:  beta_pdf (X, A, B)
     For each element of X, returns the PDF at X of the beta distribution with parameters A and B.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 93
For each element of X, returns the PDF at X of the beta distribution with parameters A and B.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
weibrnd
# name: <cell-element>
# type: string
# elements: 1
# length: 397
 -- Function File:  weibrnd (SCALE, SHAPE, R, C)
 -- Function File:  weibrnd (SCALE, SHAPE, SZ)
     Return an R by C matrix of random samples from the Weibull distribution with parameters SCALE and SHAPE which must be scalar or of size R by C.  Or if SZ is a vector return a matrix of size SZ.

     If R and C are omitted, the size of the result matrix is the common size of ALPHA and SIGMA.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 143
Return an R by C matrix of random samples from the Weibull distribution with parameters SCALE and SHAPE which must be scalar or of size R by C.

# name: <cell-element>
# type: string
# elements: 1
# length: 12
intersection
# name: <cell-element>
# type: string
# elements: 1
# length: 107
 -- Function File:  intersection (X, Y)
     This function has been deprecated.  Use intersect instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
weibull_inv
# name: <cell-element>
# type: string
# elements: 1
# length: 191
 -- Function File:  weibull_inv (X, SHAPE, SCALE)
     Compute the quantile (the inverse of the CDF) at X of the Weibull distribution with shape parameter SCALE and scale parameter SHAPE.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 132
Compute the quantile (the inverse of the CDF) at X of the Weibull distribution with shape parameter SCALE and scale parameter SHAPE.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
weibcdf
# name: <cell-element>
# type: string
# elements: 1
# length: 256
 -- Function File:  weibcdf (X, SCALE, SHAPE)
     Compute the cumulative distribution function (CDF) at X of the Weibull distribution with shape parameter SCALE and scale parameter SHAPE, which is

          1 - exp(-(x/shape)^scale)

     for X >= 0.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 147
Compute the cumulative distribution function (CDF) at X of the Weibull distribution with shape parameter SCALE and scale parameter SHAPE, which is 

# name: <cell-element>
# type: string
# elements: 1
# length: 5
t_rnd
# name: <cell-element>
# type: string
# elements: 1
# length: 348
 -- Function File:  t_rnd (N, R, C)
 -- Function File:  t_rnd (N, SZ)
     Return an R by C matrix of random samples from the t (Student) distribution with N degrees of freedom.  N must be a scalar or of size R by C.  Or if SZ is a vector create a matrix of size SZ.

     If R and C are omitted, the size of the result matrix is the size of N.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 102
Return an R by C matrix of random samples from the t (Student) distribution with N degrees of freedom.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
spchol
# name: <cell-element>
# type: string
# elements: 1
# length: 191
 -- Loadable Function: R = spchol (A)
 -- Loadable Function: [R, P] = spchol (A)
 -- Loadable Function: [R, P, Q] = spchol (A)
     This function has been deprecated.  Use `chol' instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 18
hypergeometric_pdf
# name: <cell-element>
# type: string
# elements: 1
# length: 405
 -- Function File:  hypergeometric_pdf (X, M, T, N)
     Compute the probability density function (PDF) at X of the hypergeometric distribution with parameters M, T, and N.  This is the probability of obtaining X marked items when randomly drawing a sample of size N without replacement from a population of total size T containing M marked items.

     The arguments must be of common size or scalar.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 115
Compute the probability density function (PDF) at X of the hypergeometric distribution with parameters M, T, and N.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
loadimage
# name: <cell-element>
# type: string
# elements: 1
# length: 214
 -- Function File: [X, MAP] = loadimage (FILE)
     Load an image file and its associated color map from the specified FILE.  The image must be stored in Octave's image format.  See also: saveimage, load, save.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 72
Load an image file and its associated color map from the specified FILE.

# name: <cell-element>
# type: string
# elements: 1
# length: 12
binomial_pdf
# name: <cell-element>
# type: string
# elements: 1
# length: 180
 -- Function File:  binomial_pdf (X, N, P)
     For each element of X, compute the probability density function (PDF) at X of the binomial distribution with parameters N and P.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 128
For each element of X, compute the probability density function (PDF) at X of the binomial distribution with parameters N and P.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
spsumsq
# name: <cell-element>
# type: string
# elements: 1
# length: 102
 -- Function File:  spsumsq (X, DIM)
     This function has been deprecated.  Use `sumsq' instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 13
chisquare_rnd
# name: <cell-element>
# type: string
# elements: 1
# length: 330
 -- Function File:  chisquare_rnd (N, R, C)
 -- Function File:  chisquare_rnd (N, SZ)
     Return an R by C  or a `size (SZ)' matrix of random samples from the chisquare distribution with N degrees of freedom.  N must be a scalar or of size R by C.

     If R and C are omitted, the size of the result matrix is the size of N.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 117
Return an R by C or a `size (SZ)' matrix of random samples from the chisquare distribution with N degrees of freedom.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
splchol
# name: <cell-element>
# type: string
# elements: 1
# length: 208
 -- Loadable Function: L = splchol (A)
 -- Loadable Function: [L, P] = splchol (A)
 -- Loadable Function: [L, P, Q] = splchol (A)
     This function has been deprecated.  Use `chol (...,'lower')' instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
spinv
# name: <cell-element>
# type: string
# elements: 1
# length: 105
 -- Function File: [X, RCOND] = spinv (A)
     This function has been deprecated.  Use `inv' instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
spsum
# name: <cell-element>
# type: string
# elements: 1
# length: 98
 -- Function File:  spsum (X, DIM)
     This function has been deprecated.  Use `sum' instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
poisson_inv
# name: <cell-element>
# type: string
# elements: 1
# length: 179
 -- Function File:  poisson_inv (X, LAMBDA)
     For each component of X, compute the quantile (the inverse of the CDF) at X of the Poisson distribution with parameter LAMBDA.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 126
For each component of X, compute the quantile (the inverse of the CDF) at X of the Poisson distribution with parameter LAMBDA.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
beta_rnd
# name: <cell-element>
# type: string
# elements: 1
# length: 339
 -- Function File:  beta_rnd (A, B, R, C)
 -- Function File:  beta_rnd (A, B, SZ)
     Return an R by C or `size (SZ)' matrix of random samples from the Beta distribution with parameters A and B.  Both A and B must be scalar or of size R  by C.

     If R and C are omitted, the size of the result matrix is the common size of A and B.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 108
Return an R by C or `size (SZ)' matrix of random samples from the Beta distribution with parameters A and B.

# name: <cell-element>
# type: string
# elements: 1
# length: 13
chisquare_cdf
# name: <cell-element>
# type: string
# elements: 1
# length: 185
 -- Function File:  chisquare_cdf (X, N)
     For each element of X, compute the cumulative distribution function (CDF) at X of the chisquare distribution with N degrees of freedom.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 135
For each element of X, compute the cumulative distribution function (CDF) at X of the chisquare distribution with N degrees of freedom.

# name: <cell-element>
# type: string
# elements: 1
# length: 15
mark_as_command
# name: <cell-element>
# type: string
# elements: 1
# length: 134
 -- Built-in Function:  mark_as_command (NAME)
     This function is obsolete and will be removed from a future version of Octave.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 78
This function is obsolete and will be removed from a future version of Octave.

# name: <cell-element>
# type: string
# elements: 1
# length: 18
hypergeometric_cdf
# name: <cell-element>
# type: string
# elements: 1
# length: 458
 -- Function File:  hypergeometric_cdf (X, M, T, N)
     Compute the cumulative distribution function (CDF) at X of the hypergeometric distribution with parameters M, T, and N.  This is the probability of obtaining not more than X marked items when randomly drawing a sample of size N without replacement from a population of total size T containing M marked items.

     The parameters M, T, and N must positive integers with M and N not greater than T.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 119
Compute the cumulative distribution function (CDF) at X of the hypergeometric distribution with parameters M, T, and N.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
is_scalar
# name: <cell-element>
# type: string
# elements: 1
# length: 100
 -- Function File:  is_scalar (A)
     This function has been deprecated.  Use isscalar instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
uniform_rnd
# name: <cell-element>
# type: string
# elements: 1
# length: 335
 -- Function File:  uniform_rnd (A, B, R, C)
 -- Function File:  uniform_rnd (A, B, SZ)
     Return an R by C or a `size (SZ)' matrix of random samples from the uniform distribution on [A, B].  Both A and B must be scalar or of size R by C.

     If R and C are omitted, the size of the result matrix is the common size of A and B.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 99
Return an R by C or a `size (SZ)' matrix of random samples from the uniform distribution on [A, B].

# name: <cell-element>
# type: string
# elements: 1
# length: 10
create_set
# name: <cell-element>
# type: string
# elements: 1
# length: 142
 -- Function File:  create_set (X)
 -- Function File:  create_set (X, "rows")
     This function has been deprecated.  Use unique instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 17
unmark_rawcommand
# name: <cell-element>
# type: string
# elements: 1
# length: 136
 -- Built-in Function:  unmark_rawcommand (NAME)
     This function is obsolete and will be removed from a future version of Octave.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 78
This function is obsolete and will be removed from a future version of Octave.

# name: <cell-element>
# type: string
# elements: 1
# length: 15
struct_elements
# name: <cell-element>
# type: string
# elements: 1
# length: 113
 -- Function File:  struct_elements (STRUCT)
     This function has been deprecated.  Use fieldnames instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
beta_inv
# name: <cell-element>
# type: string
# elements: 1
# length: 173
 -- Function File:  beta_inv (X, A, B)
     For each component of X, compute the quantile (the inverse of the CDF) at X of the Beta distribution with parameters A and B.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 125
For each component of X, compute the quantile (the inverse of the CDF) at X of the Beta distribution with parameters A and B.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
gamma_inv
# name: <cell-element>
# type: string
# elements: 1
# length: 175
 -- Function File:  gamma_inv (X, A, B)
     For each component of X, compute the quantile (the inverse of the CDF) at X of the Gamma distribution with parameters A and B.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 126
For each component of X, compute the quantile (the inverse of the CDF) at X of the Gamma distribution with parameters A and B.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
split
# name: <cell-element>
# type: string
# elements: 1
# length: 118
 -- Function File:  split (S, T, N)
     This function has been deprecated.  Use `char (strsplit (s, t))' instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
clg
# name: <cell-element>
# type: string
# elements: 1
# length: 88
 -- Function File:  clg ()
     This function has been deprecated.  Use clf instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 15
exponential_pdf
# name: <cell-element>
# type: string
# elements: 1
# length: 181
 -- Function File:  exponential_pdf (X, LAMBDA)
     For each element of X, compute the probability density function (PDF) of the exponential distribution with parameter LAMBDA.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 124
For each element of X, compute the probability density function (PDF) of the exponential distribution with parameter LAMBDA.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
f_inv
# name: <cell-element>
# type: string
# elements: 1
# length: 167
 -- Function File:  f_inv (X, M, N)
     For each component of X, compute the quantile (the inverse of the CDF) at X of the F distribution with parameters M and N.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 122
For each component of X, compute the quantile (the inverse of the CDF) at X of the F distribution with parameters M and N.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
normal_pdf
# name: <cell-element>
# type: string
# elements: 1
# length: 218
 -- Function File:  normal_pdf (X, M, V)
     For each element of X, compute the probability density function (PDF) at X of the normal distribution with mean M and variance V.

     Default values are M = 0, V = 1.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 129
For each element of X, compute the probability density function (PDF) at X of the normal distribution with mean M and variance V.

# name: <cell-element>
# type: string
# elements: 1
# length: 12
binomial_rnd
# name: <cell-element>
# type: string
# elements: 1
# length: 353
 -- Function File:  binomial_rnd (N, P, R, C)
 -- Function File:  binomial_rnd (N, P, SZ)
     Return an R by C  or a `size (SZ)' matrix of random samples from the binomial distribution with parameters N and P.  Both N and P must be scalar or of size R by C.

     If R and C are omitted, the size of the result matrix is the common size of N and P.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 114
Return an R by C or a `size (SZ)' matrix of random samples from the binomial distribution with parameters N and P.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
pascal_cdf
# name: <cell-element>
# type: string
# elements: 1
# length: 298
 -- Function File:  pascal_cdf (X, N, P)
     For each element of X, compute the CDF at x of the Pascal (negative binomial) distribution with parameters N and P.

     The number of failures in a Bernoulli experiment with success probability P before the N-th success follows this distribution.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 115
For each element of X, compute the CDF at x of the Pascal (negative binomial) distribution with parameters N and P.

# name: <cell-element>
# type: string
# elements: 1
# length: 13
geometric_pdf
# name: <cell-element>
# type: string
# elements: 1
# length: 172
 -- Function File:  geometric_pdf (X, P)
     For each element of X, compute the probability density function (PDF) at X of the geometric distribution with parameter P.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 122
For each element of X, compute the probability density function (PDF) at X of the geometric distribution with parameter P.

# name: <cell-element>
# type: string
# elements: 1
# length: 18
mark_as_rawcommand
# name: <cell-element>
# type: string
# elements: 1
# length: 137
 -- Built-in Function:  mark_as_rawcommand (NAME)
     This function is obsolete and will be removed from a future version of Octave.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 78
This function is obsolete and will be removed from a future version of Octave.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
is_vector
# name: <cell-element>
# type: string
# elements: 1
# length: 100
 -- Function File:  is_vector (A)
     This function has been deprecated.  Use isvector instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
f_cdf
# name: <cell-element>
# type: string
# elements: 1
# length: 171
 -- Function File:  f_cdf (X, M, N)
     For each element of X, compute the CDF at X of the F distribution with M and N degrees of freedom, i.e., PROB (F (M, N) <= X).
   
# name: <cell-element>
# type: string
# elements: 1
# length: 101
For each element of X, compute the CDF at X of the F distribution with M and N degrees of freedom, i.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
normal_inv
# name: <cell-element>
# type: string
# elements: 1
# length: 217
 -- Function File:  normal_inv (X, M, V)
     For each element of X, compute the quantile (the inverse of the CDF) at X of the normal distribution with mean M and variance V.

     Default values are M = 0, V = 1.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 128
For each element of X, compute the quantile (the inverse of the CDF) at X of the normal distribution with mean M and variance V.

# name: <cell-element>
# type: string
# elements: 1
# length: 12
israwcommand
# name: <cell-element>
# type: string
# elements: 1
# length: 131
 -- Built-in Function:  israwcommand (NAME)
     This function is obsolete and will be removed from a future version of Octave.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 78
This function is obsolete and will be removed from a future version of Octave.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
uniform_inv
# name: <cell-element>
# type: string
# elements: 1
# length: 202
 -- Function File:  uniform_inv (X, A, B)
     For each element of X, compute the quantile (the inverse of the CDF) at X of the uniform distribution on [A, B].

     Default values are A = 0, B = 1.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 112
For each element of X, compute the quantile (the inverse of the CDF) at X of the uniform distribution on [A, B].

# name: <cell-element>
# type: string
# elements: 1
# length: 13
geometric_cdf
# name: <cell-element>
# type: string
# elements: 1
# length: 141
 -- Function File:  geometric_cdf (X, P)
     For each element of X, compute the CDF at X of the geometric distribution with parameter P.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 91
For each element of X, compute the CDF at X of the geometric distribution with parameter P.

# name: <cell-element>
# type: string
# elements: 1
# length: 12
binomial_cdf
# name: <cell-element>
# type: string
# elements: 1
# length: 149
 -- Function File:  binomial_cdf (X, N, P)
     For each element of X, compute the CDF at X of the binomial distribution with parameters N and P.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 97
For each element of X, compute the CDF at X of the binomial distribution with parameters N and P.

# name: <cell-element>
# type: string
# elements: 1
# length: 18
hypergeometric_rnd
# name: <cell-element>
# type: string
# elements: 1
# length: 302
 -- Function File:  hypergeometric_rnd (M, T, N, R, C)
 -- Function File:  hygernd (M, T, N, SZ)
     Return an R by C matrix of random samples from the hypergeometric distribution with parameters M, T, and N.

     The parameters M, T, and N must positive integers with M and N not greater than T.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 107
Return an R by C matrix of random samples from the hypergeometric distribution with parameters M, T, and N.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
beta_cdf
# name: <cell-element>
# type: string
# elements: 1
# length: 172
 -- Function File:  beta_cdf (X, A, B)
     For each element of X, returns the CDF at X of the beta distribution with parameters A and B, i.e., PROB (beta (A, B) <= X).
   
# name: <cell-element>
# type: string
# elements: 1
# length: 96
For each element of X, returns the CDF at X of the beta distribution with parameters A and B, i.

# name: <cell-element>
# type: string
# elements: 1
# length: 12
is_symmetric
# name: <cell-element>
# type: string
# elements: 1
# length: 110
 -- Function File:  issymmetric (X, TOL)
     This function has been deprecated.  Use issymmetric instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
weibull_rnd
# name: <cell-element>
# type: string
# elements: 1
# length: 405
 -- Function File:  weibull_rnd (SHAPE, SCALE, R, C)
 -- Function File:  weibull_rnd (SHAPE, SCALE, SZ)
     Return an R by C matrix of random samples from the Weibull distribution with parameters SCALE and SHAPE which must be scalar or of size R by C.  Or if SZ is a vector return a matrix of size SZ.

     If R and C are omitted, the size of the result matrix is the common size of ALPHA and SIGMA.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 143
Return an R by C matrix of random samples from the Weibull distribution with parameters SCALE and SHAPE which must be scalar or of size R by C.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
lchol
# name: <cell-element>
# type: string
# elements: 1
# length: 157
 -- Loadable Function: L = lchol (A)
 -- Loadable Function: [L, P] = lchol (A)
     This function has been deprecated.  Use `chol (...,'lower')' instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
is_list
# name: <cell-element>
# type: string
# elements: 1
# length: 96
 -- Function File:  is_list (A)
     This function has been deprecated.  Use islist instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
spqr
# name: <cell-element>
# type: string
# elements: 1
# length: 224
 -- Loadable Function: R = spqr (A)
 -- Loadable Function: R = spqr (A,0)
 -- Loadable Function: [C, R] = spqr (A,B)
 -- Loadable Function: [C, R] = spqr (A,B,0)
     This function has been deprecated.  Use `qr' instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
t_cdf
# name: <cell-element>
# type: string
# elements: 1
# length: 168
 -- Function File:  t_cdf (X, N)
     For each element of X, compute the CDF at X of the t (Student) distribution with N degrees of freedom, i.e., PROB (t(N) <= X).
   
# name: <cell-element>
# type: string
# elements: 1
# length: 105
For each element of X, compute the CDF at X of the t (Student) distribution with N degrees of freedom, i.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
poisson_cdf
# name: <cell-element>
# type: string
# elements: 1
# length: 182
 -- Function File:  poisson_cdf (X, LAMBDA)
     For each element of X, compute the cumulative distribution function (CDF) at X of the Poisson distribution with parameter lambda.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 129
For each element of X, compute the cumulative distribution function (CDF) at X of the Poisson distribution with parameter lambda.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
f_pdf
# name: <cell-element>
# type: string
# elements: 1
# length: 174
 -- Function File:  f_pdf (X, M, N)
     For each element of X, compute the probability density function (PDF) at X of the F distribution with M and N degrees of freedom.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 129
For each element of X, compute the probability density function (PDF) at X of the F distribution with M and N degrees of freedom.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
spdet
# name: <cell-element>
# type: string
# elements: 1
# length: 109
 -- Loadable Function: [D, RCOND] = spdet (A)
     This function has been deprecated.  Use `det' instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
is_stream
# name: <cell-element>
# type: string
# elements: 1
# length: 100
 -- Function File:  is_stream (A)
     This function has been deprecated.  Use isstream instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
This function has been deprecated.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
pascal_rnd
# name: <cell-element>
# type: string
# elements: 1
# length: 400
 -- Function File:  pascal_rnd (N, P, R, C)
 -- Function File:  pascal_rnd (N, P, SZ)
     Return an R by C matrix of random samples from the Pascal (negative binomial) distribution with parameters N and P.  Both N and P must be scalar or of size R by C.

     If R and C are omitted, the size of the result matrix is the common size of N and P.  Or if SZ is a vector, create a matrix of size SZ.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 115
Return an R by C matrix of random samples from the Pascal (negative binomial) distribution with parameters N and P.

# name: <cell-element>
# type: string
# elements: 1
# length: 14
hotelling_test
# name: <cell-element>
# type: string
# elements: 1
# length: 540
 -- Function File: [PVAL, TSQ] = hotelling_test (X, M)
     For a sample X from a multivariate normal distribution with unknown mean and covariance matrix, test the null hypothesis that `mean (X) == M'.

     Hotelling's T^2 is returned in TSQ.  Under the null, (n-p) T^2 / (p(n-1)) has an F distribution with p and n-p degrees of freedom, where n and p are the numbers of samples and variables, respectively.

     The p-value of the test is returned in PVAL.

     If no output argument is given, the p-value of the test is displayed.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 142
For a sample X from a multivariate normal distribution with unknown mean and covariance matrix, test the null hypothesis that `mean (X) == M'.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
t_test_2
# name: <cell-element>
# type: string
# elements: 1
# length: 839
 -- Function File: [PVAL, T, DF] = t_test_2 (X, Y, ALT)
     For two samples x and y from normal distributions with unknown means and unknown equal variances, perform a two-sample t-test of the null hypothesis of equal means.  Under the null, the test statistic T follows a Student distribution with DF degrees of freedom.

     With the optional argument string ALT, the alternative of interest can be selected.  If ALT is `"!="' or `"<>"', the null is tested against the two-sided alternative `mean (X) != mean (Y)'.  If ALT is `">"', the one-sided alternative `mean (X) > mean (Y)' is used.  Similarly for `"<"', the one-sided alternative `mean (X) < mean (Y)' is used.  The default is the two-sided case.

     The p-value of the test is returned in PVAL.

     If no output argument is given, the p-value of the test is displayed.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 164
For two samples x and y from normal distributions with unknown means and unknown equal variances, perform a two-sample t-test of the null hypothesis of equal means.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
t_test
# name: <cell-element>
# type: string
# elements: 1
# length: 811
 -- Function File: [PVAL, T, DF] = t_test (X, M, ALT)
     For a sample X from a normal distribution with unknown mean and variance, perform a t-test of the null hypothesis `mean (X) == M'.  Under the null, the test statistic T follows a Student distribution with `DF = length (X) - 1' degrees of freedom.

     With the optional argument string ALT, the alternative of interest can be selected.  If ALT is `"!="' or `"<>"', the null is tested against the two-sided alternative `mean (X) != M'.  If ALT is `">"', the one-sided alternative `mean (X) > M' is considered.  Similarly for "<", the one-sided alternative `mean (X) < M' is considered.  The default is the two-sided case.

     The p-value of the test is returned in PVAL.

     If no output argument is given, the p-value of the test is displayed.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 130
For a sample X from a normal distribution with unknown mean and variance, perform a t-test of the null hypothesis `mean (X) == M'.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
cor_test
# name: <cell-element>
# type: string
# elements: 1
# length: 1347
 -- Function File:  cor_test (X, Y, ALT, METHOD)
     Test whether two samples X and Y come from uncorrelated populations.

     The optional argument string ALT describes the alternative hypothesis, and can be `"!="' or `"<>"' (non-zero), `">"' (greater than 0), or `"<"' (less than 0).  The default is the two-sided case.

     The optional argument string METHOD specifies on which correlation coefficient the test should be based.  If METHOD is `"pearson"' (default), the (usual) Pearson's product moment correlation coefficient is used.  In this case, the data should come from a bivariate normal distribution.  Otherwise, the other two methods offer nonparametric alternatives.  If METHOD is `"kendall"', then Kendall's rank correlation tau is used.  If METHOD is `"spearman"', then Spearman's rank correlation rho is used.  Only the first character is necessary.

     The output is a structure with the following elements:

    PVAL
          The p-value of the test.

    STAT
          The value of the test statistic.

    DIST
          The distribution of the test statistic.

    PARAMS
          The parameters of the null distribution of the test statistic.

    ALTERNATIVE
          The alternative hypothesis.

    METHOD
          The method used for testing.

     If no output argument is given, the p-value is displayed.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 68
Test whether two samples X and Y come from uncorrelated populations.

# name: <cell-element>
# type: string
# elements: 1
# length: 17
f_test_regression
# name: <cell-element>
# type: string
# elements: 1
# length: 491
 -- Function File: [PVAL, F, DF_NUM, DF_DEN] = f_test_regression (Y, X, RR, R)
     Perform an F test for the null hypothesis rr * b = r in a classical normal regression model y = X * b + e.

     Under the null, the test statistic F follows an F distribution with DF_NUM and DF_DEN degrees of freedom.

     The p-value (1 minus the CDF of this distribution at F) is returned in PVAL.

     If not given explicitly, R = 0.

     If no output argument is given, the p-value is displayed.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 106
Perform an F test for the null hypothesis rr * b = r in a classical normal regression model y = X * b + e.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
z_test
# name: <cell-element>
# type: string
# elements: 1
# length: 809
 -- Function File: [PVAL, Z] = z_test (X, M, V, ALT)
     Perform a Z-test of the null hypothesis `mean (X) == M' for a sample X from a normal distribution with unknown mean and known variance V.  Under the null, the test statistic Z follows a standard normal distribution.

     With the optional argument string ALT, the alternative of interest can be selected.  If ALT is `"!="' or `"<>"', the null is tested against the two-sided alternative `mean (X) != M'.  If ALT is `">"', the one-sided alternative `mean (X) > M' is considered.  Similarly for `"<"', the one-sided alternative `mean (X) < M' is considered.  The default is the two-sided case.

     The p-value of the test is returned in PVAL.

     If no output argument is given, the p-value of the test is displayed along with some information.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 137
Perform a Z-test of the null hypothesis `mean (X) == M' for a sample X from a normal distribution with unknown mean and known variance V.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
welch_test
# name: <cell-element>
# type: string
# elements: 1
# length: 853
 -- Function File: [PVAL, T, DF] = welch_test (X, Y, ALT)
     For two samples X and Y from normal distributions with unknown means and unknown and not necessarily equal variances, perform a Welch test of the null hypothesis of equal means.  Under the null, the test statistic T approximately follows a Student distribution with DF degrees of freedom.

     With the optional argument string ALT, the alternative of interest can be selected.  If ALT is `"!="' or `"<>"', the null is tested against the two-sided alternative `mean (X) != M'.  If ALT is `">"', the one-sided alternative mean(x) > M is considered.  Similarly for `"<"', the one-sided alternative mean(x) < M is considered.  The default is the two-sided case.

     The p-value of the test is returned in PVAL.

     If no output argument is given, the p-value of the test is displayed.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 177
For two samples X and Y from normal distributions with unknown means and unknown and not necessarily equal variances, perform a Welch test of the null hypothesis of equal means.

# name: <cell-element>
# type: string
# elements: 1
# length: 12
mcnemar_test
# name: <cell-element>
# type: string
# elements: 1
# length: 524
 -- Function File: [PVAL, CHISQ, DF] = mcnemar_test (X)
     For a square contingency table X of data cross-classified on the row and column variables, McNemar's test can be used for testing the null hypothesis of symmetry of the classification probabilities.

     Under the null, CHISQ is approximately distributed as chisquare with DF degrees of freedom.

     The p-value (1 minus the CDF of this distribution at CHISQ) is returned in PVAL.

     If no output argument is given, the p-value of the test is displayed.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 198
For a square contingency table X of data cross-classified on the row and column variables, McNemar's test can be used for testing the null hypothesis of symmetry of the classification probabilities.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
anova
# name: <cell-element>
# type: string
# elements: 1
# length: 957
 -- Function File: [PVAL, F, DF_B, DF_W] = anova (Y, G)
     Perform a one-way analysis of variance (ANOVA).  The goal is to test whether the population means of data taken from K different groups are all equal.

     Data may be given in a single vector Y with groups specified by a corresponding vector of group labels G (e.g., numbers from 1 to K).  This is the general form which does not impose any restriction on the number of data in each group or the group labels.

     If Y is a matrix and G is omitted, each column of Y is treated as a group.  This form is only appropriate for balanced ANOVA in which the numbers of samples from each group are all equal.

     Under the null of constant means, the statistic F follows an F distribution with DF_B and DF_W degrees of freedom.

     The p-value (1 minus the CDF of this distribution at F) is returned in PVAL.

     If no output argument is given, the standard one-way ANOVA table is printed.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 47
Perform a one-way analysis of variance (ANOVA).

# name: <cell-element>
# type: string
# elements: 1
# length: 25
kolmogorov_smirnov_test_2
# name: <cell-element>
# type: string
# elements: 1
# length: 1111
 -- Function File: [PVAL, KS, D] = kolmogorov_smirnov_test_2 (X, Y, ALT)
     Perform a 2-sample Kolmogorov-Smirnov test of the null hypothesis that the samples X and Y come from the same (continuous) distribution.  I.e., if F and G are the CDFs corresponding to the X and Y samples, respectively, then the null is that F == G.

     With the optional argument string ALT, the alternative of interest can be selected.  If ALT is `"!="' or `"<>"', the null is tested against the two-sided alternative F != G.  In this case, the test statistic KS follows a two-sided Kolmogorov-Smirnov distribution.  If ALT is `">"', the one-sided alternative F > G is considered.  Similarly for `"<"', the one-sided alternative F < G is considered.  In this case, the test statistic KS has a one-sided Kolmogorov-Smirnov distribution.  The default is the two-sided case.

     The p-value of the test is returned in PVAL.

     The third returned value, D, is the test statistic, the maximum vertical distance between the two cumulative distribution functions.

     If no output argument is given, the p-value is displayed.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 136
Perform a 2-sample Kolmogorov-Smirnov test of the null hypothesis that the samples X and Y come from the same (continuous) distribution.

# name: <cell-element>
# type: string
# elements: 1
# length: 27
chisquare_test_independence
# name: <cell-element>
# type: string
# elements: 1
# length: 441
 -- Function File: [PVAL, CHISQ, DF] = chisquare_test_independence (X)
     Perform a chi-square test for independence based on the contingency table X.  Under the null hypothesis of independence, CHISQ approximately has a chi-square distribution with DF degrees of freedom.

     The p-value (1 minus the CDF of this distribution at chisq) of the test is returned in PVAL.

     If no output argument is given, the p-value is displayed.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 76
Perform a chi-square test for independence based on the contingency table X.

# name: <cell-element>
# type: string
# elements: 1
# length: 19
kruskal_wallis_test
# name: <cell-element>
# type: string
# elements: 1
# length: 1087
 -- Function File: [PVAL, K, DF] = kruskal_wallis_test (X1, ...)
     Perform a Kruskal-Wallis one-factor "analysis of variance".

     Suppose a variable is observed for K > 1 different groups, and let X1, ..., XK be the corresponding data vectors.

     Under the null hypothesis that the ranks in the pooled sample are not affected by the group memberships, the test statistic K is approximately chi-square with DF = K - 1 degrees of freedom.

     If the data contains ties (some value appears more than once) K is divided by

     1 - SUM_TIES / (N^3 - N)

     where SUM_TIES is the sum of T^2 - T over each group of ties where T is the number of ties in the group and N is the total number of values in the input data.  For more info on this adjustment see "Use of Ranks in One-Criterion Variance Analysis" in Journal of the American Statistical Association, Vol. 47, No. 260 (Dec 1952) by William H. Kruskal and W. Allen Wallis.

     The p-value (1 minus the CDF of this distribution at K) is returned in PVAL.

     If no output argument is given, the p-value is displayed.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 59
Perform a Kruskal-Wallis one-factor "analysis of variance".

# name: <cell-element>
# type: string
# elements: 1
# length: 8
run_test
# name: <cell-element>
# type: string
# elements: 1
# length: 327
 -- Function File: [PVAL, CHISQ] = run_test (X)
     Perform a chi-square test with 6 degrees of freedom based on the upward runs in the columns of X.  Can be used to test whether X contains independent data.

     The p-value of the test is returned in PVAL.

     If no output argument is given, the p-value is displayed.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 97
Perform a chi-square test with 6 degrees of freedom based on the upward runs in the columns of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 17
t_test_regression
# name: <cell-element>
# type: string
# elements: 1
# length: 814
 -- Function File: [PVAL, T, DF] = t_test_regression (Y, X, RR, R, ALT)
     Perform an t test for the null hypothesis `RR * B = R' in a classical normal regression model `Y = X * B + E'.  Under the null, the test statistic T follows a T distribution with DF degrees of freedom.

     If R is omitted, a value of 0 is assumed.

     With the optional argument string ALT, the alternative of interest can be selected.  If ALT is `"!="' or `"<>"', the null is tested against the two-sided alternative `RR * B != R'.  If ALT is `">"', the one-sided alternative `RR * B > R' is used.  Similarly for "<", the one-sided alternative `RR * B < R' is used.  The default is the two-sided case.

     The p-value of the test is returned in PVAL.

     If no output argument is given, the p-value of the test is displayed.
   
# name: <cell-element>
# type: string
# elements: 1
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Perform an t test for the null hypothesis `RR * B = R' in a classical normal regression model `Y = X * B + E'.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
z_test_2
# name: <cell-element>
# type: string
# elements: 1
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 -- Function File: [PVAL, Z] = z_test_2 (X, Y, V_X, V_Y, ALT)
     For two samples X and Y from normal distributions with unknown means and known variances V_X and V_Y, perform a Z-test of the hypothesis of equal means.  Under the null, the test statistic Z follows a standard normal distribution.

     With the optional argument string ALT, the alternative of interest can be selected.  If ALT is `"!="' or `"<>"', the null is tested against the two-sided alternative `mean (X) != mean (Y)'.  If alt is `">"', the one-sided alternative `mean (X) > mean (Y)' is used.  Similarly for `"<"', the one-sided alternative `mean (X) < mean (Y)' is used.  The default is the two-sided case.

     The p-value of the test is returned in PVAL.

     If no output argument is given, the p-value of the test is displayed along with some information.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 152
For two samples X and Y from normal distributions with unknown means and known variances V_X and V_Y, perform a Z-test of the hypothesis of equal means.

# name: <cell-element>
# type: string
# elements: 1
# length: 23
kolmogorov_smirnov_test
# name: <cell-element>
# type: string
# elements: 1
# length: 1293
 -- Function File: [PVAL, KS] = kolmogorov_smirnov_test (X, DIST, PARAMS, ALT)
     Perform a Kolmogorov-Smirnov test of the null hypothesis that the sample X comes from the (continuous) distribution dist.  I.e., if F and G are the CDFs corresponding to the sample and dist, respectively, then the null is that F == G.

     The optional argument PARAMS contains a list of parameters of DIST.  For example, to test whether a sample X comes from a uniform distribution on [2,4], use

          kolmogorov_smirnov_test(x, "uniform", 2, 4)

     DIST can be any string for which a function DIST_CDF that calculates the CDF of distribution DIST exists.

     With the optional argument string ALT, the alternative of interest can be selected.  If ALT is `"!="' or `"<>"', the null is tested against the two-sided alternative F != G.  In this case, the test statistic KS follows a two-sided Kolmogorov-Smirnov distribution.  If ALT is `">"', the one-sided alternative F > G is considered.  Similarly for `"<"', the one-sided alternative F > G is considered.  In this case, the test statistic KS has a one-sided Kolmogorov-Smirnov distribution.  The default is the two-sided case.

     The p-value of the test is returned in PVAL.

     If no output argument is given, the p-value is displayed.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 121
Perform a Kolmogorov-Smirnov test of the null hypothesis that the sample X comes from the (continuous) distribution dist.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
u_test
# name: <cell-element>
# type: string
# elements: 1
# length: 847
 -- Function File: [PVAL, Z] = u_test (X, Y, ALT)
     For two samples X and Y, perform a Mann-Whitney U-test of the null hypothesis PROB (X > Y) == 1/2 == PROB (X < Y).  Under the null, the test statistic Z approximately follows a standard normal distribution.  Note that this test is equivalent to the Wilcoxon rank-sum test.

     With the optional argument string ALT, the alternative of interest can be selected.  If ALT is `"!="' or `"<>"', the null is tested against the two-sided alternative PROB (X > Y) != 1/2.  If ALT is `">"', the one-sided alternative PROB (X > Y) > 1/2 is considered.  Similarly for `"<"', the one-sided alternative PROB (X > Y) < 1/2 is considered.  The default is the two-sided case.

     The p-value of the test is returned in PVAL.

     If no output argument is given, the p-value of the test is displayed.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 114
For two samples X and Y, perform a Mann-Whitney U-test of the null hypothesis PROB (X > Y) == 1/2 == PROB (X < Y).

# name: <cell-element>
# type: string
# elements: 1
# length: 8
var_test
# name: <cell-element>
# type: string
# elements: 1
# length: 841
 -- Function File: [PVAL, F, DF_NUM, DF_DEN] = var_test (X, Y, ALT)
     For two samples X and Y from normal distributions with unknown means and unknown variances, perform an F-test of the null hypothesis of equal variances.  Under the null, the test statistic F follows an F-distribution with DF_NUM and DF_DEN degrees of freedom.

     With the optional argument string ALT, the alternative of interest can be selected.  If ALT is `"!="' or `"<>"', the null is tested against the two-sided alternative `var (X) != var (Y)'.  If ALT is `">"', the one-sided alternative `var (X) > var (Y)' is used.  Similarly for "<", the one-sided alternative `var (X) > var (Y)' is used.  The default is the two-sided case.

     The p-value of the test is returned in PVAL.

     If no output argument is given, the p-value of the test is displayed.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 152
For two samples X and Y from normal distributions with unknown means and unknown variances, perform an F-test of the null hypothesis of equal variances.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
sign_test
# name: <cell-element>
# type: string
# elements: 1
# length: 905
 -- Function File: [PVAL, B, N] = sign_test (X, Y, ALT)
     For two matched-pair samples X and Y, perform a sign test of the null hypothesis PROB (X > Y) == PROB (X < Y) == 1/2.  Under the null, the test statistic B roughly follows a binomial distribution with parameters `N = sum (X != Y)' and P = 1/2.

     With the optional argument `alt', the alternative of interest can be selected.  If ALT is `"!="' or `"<>"', the null hypothesis is tested against the two-sided alternative PROB (X < Y) != 1/2.  If ALT is `">"', the one-sided alternative PROB (X > Y) > 1/2 ("x is stochastically greater than y") is considered.  Similarly for `"<"', the one-sided alternative PROB (X > Y) < 1/2 ("x is stochastically less than y") is considered.  The default is the two-sided case.

     The p-value of the test is returned in PVAL.

     If no output argument is given, the p-value of the test is displayed.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 117
For two matched-pair samples X and Y, perform a sign test of the null hypothesis PROB (X > Y) == PROB (X < Y) == 1/2.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
manova
# name: <cell-element>
# type: string
# elements: 1
# length: 614
 -- Function File:  manova (Y, G)
     Perform a one-way multivariate analysis of variance (MANOVA).  The goal is to test whether the p-dimensional population means of data taken from K different groups are all equal.  All data are assumed drawn independently from p-dimensional normal distributions with the same covariance matrix.

     The data matrix is given by Y.  As usual, rows are observations and columns are variables.  The vector G specifies the corresponding group labels (e.g., numbers from 1 to K).

     The LR test statistic (Wilks' Lambda) and approximate p-values are computed and displayed.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 61
Perform a one-way multivariate analysis of variance (MANOVA).

# name: <cell-element>
# type: string
# elements: 1
# length: 13
wilcoxon_test
# name: <cell-element>
# type: string
# elements: 1
# length: 910
 -- Function File: [PVAL, Z] = wilcoxon_test (X, Y, ALT)
     For two matched-pair sample vectors X and Y, perform a Wilcoxon signed-rank test of the null hypothesis PROB (X > Y) == 1/2.  Under the null, the test statistic Z approximately follows a standard normal distribution when N > 25.

     *Warning*: This function assumes a normal distribution for Z and thus is invalid for N <= 25.

     With the optional argument string ALT, the alternative of interest can be selected.  If ALT is `"!="' or `"<>"', the null is tested against the two-sided alternative PROB (X > Y) != 1/2.  If alt is `">"', the one-sided alternative PROB (X > Y) > 1/2 is considered.  Similarly for `"<"', the one-sided alternative PROB (X > Y) < 1/2 is considered.  The default is the two-sided case.

     The p-value of the test is returned in PVAL.

     If no output argument is given, the p-value of the test is displayed.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 124
For two matched-pair sample vectors X and Y, perform a Wilcoxon signed-rank test of the null hypothesis PROB (X > Y) == 1/2.

# name: <cell-element>
# type: string
# elements: 1
# length: 16
hotelling_test_2
# name: <cell-element>
# type: string
# elements: 1
# length: 656
 -- Function File: [PVAL, TSQ] = hotelling_test_2 (X, Y)
     For two samples X from multivariate normal distributions with the same number of variables (columns), unknown means and unknown equal covariance matrices, test the null hypothesis `mean (X) == mean (Y)'.

     Hotelling's two-sample T^2 is returned in TSQ.  Under the null,

          (n_x+n_y-p-1) T^2 / (p(n_x+n_y-2))

     has an F distribution with p and n_x+n_y-p-1 degrees of freedom, where n_x and n_y are the sample sizes and p is the number of variables.

     The p-value of the test is returned in PVAL.

     If no output argument is given, the p-value of the test is displayed.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 203
For two samples X from multivariate normal distributions with the same number of variables (columns), unknown means and unknown equal covariance matrices, test the null hypothesis `mean (X) == mean (Y)'.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
prop_test_2
# name: <cell-element>
# type: string
# elements: 1
# length: 820
 -- Function File: [PVAL, Z] = prop_test_2 (X1, N1, X2, N2, ALT)
     If X1 and N1 are the counts of successes and trials in one sample, and X2 and N2 those in a second one, test the null hypothesis that the success probabilities P1 and P2 are the same.  Under the null, the test statistic Z approximately follows a standard normal distribution.

     With the optional argument string ALT, the alternative of interest can be selected.  If ALT is `"!="' or `"<>"', the null is tested against the two-sided alternative P1 != P2.  If ALT is `">"', the one-sided alternative P1 > P2 is used.  Similarly for `"<"', the one-sided alternative P1 < P2 is used.  The default is the two-sided case.

     The p-value of the test is returned in PVAL.

     If no output argument is given, the p-value of the test is displayed.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 183
If X1 and N1 are the counts of successes and trials in one sample, and X2 and N2 those in a second one, test the null hypothesis that the success probabilities P1 and P2 are the same.

# name: <cell-element>
# type: string
# elements: 1
# length: 13
bartlett_test
# name: <cell-element>
# type: string
# elements: 1
# length: 471
 -- Function File: [PVAL, CHISQ, DF] = bartlett_test (X1, ...)
     Perform a Bartlett test for the homogeneity of variances in the data vectors X1, X2, ..., XK, where K > 1.

     Under the null of equal variances, the test statistic CHISQ approximately follows a chi-square distribution with DF degrees of freedom.

     The p-value (1 minus the CDF of this distribution at CHISQ) is returned in PVAL.

     If no output argument is given, the p-value is displayed.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 86
Perform a Bartlett test for the homogeneity of variances in the data vectors X1, X2, .

# name: <cell-element>
# type: string
# elements: 1
# length: 26
chisquare_test_homogeneity
# name: <cell-element>
# type: string
# elements: 1
# length: 586
 -- Function File: [PVAL, CHISQ, DF] = chisquare_test_homogeneity (X, Y, C)
     Given two samples X and Y, perform a chisquare test for homogeneity of the null hypothesis that X and Y come from the same distribution, based on the partition induced by the (strictly increasing) entries of C.

     For large samples, the test statistic CHISQ approximately follows a chisquare distribution with DF = `length (C)' degrees of freedom.

     The p-value (1 minus the CDF of this distribution at CHISQ) is returned in PVAL.

     If no output argument is given, the p-value is displayed.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 210
Given two samples X and Y, perform a chisquare test for homogeneity of the null hypothesis that X and Y come from the same distribution, based on the partition induced by the (strictly increasing) entries of C.

# name: <cell-element>
# type: string
# elements: 1
# length: 13
stdnormal_pdf
# name: <cell-element>
# type: string
# elements: 1
# length: 158
 -- Function File:  stdnormal_pdf (X)
     For each element of X, compute the probability density function (PDF) of the standard normal distribution at X.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 111
For each element of X, compute the probability density function (PDF) of the standard normal distribution at X.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
binoinv
# name: <cell-element>
# type: string
# elements: 1
# length: 149
 -- Function File:  binoinv (X, N, P)
     For each element of X, compute the quantile at X of the binomial distribution with parameters N and P.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 102
For each element of X, compute the quantile at X of the binomial distribution with parameters N and P.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
frnd
# name: <cell-element>
# type: string
# elements: 1
# length: 386
 -- Function File:  frnd (M, N, R, C)
 -- Function File:  frnd (M, N, SZ)
     Return an R by C matrix of random samples from the F distribution with M and N degrees of freedom.  Both M and N must be scalar or of size R by C.  If SZ is a vector the random samples are in a matrix of size SZ.

     If R and C are omitted, the size of the result matrix is the common size of M and N.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 98
Return an R by C matrix of random samples from the F distribution with M and N degrees of freedom.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
gamrnd
# name: <cell-element>
# type: string
# elements: 1
# length: 398
 -- Function File:  gamrnd (A, B, R, C)
 -- Function File:  gamrnd (A, B, SZ)
     Return an R by C or a `size (SZ)' matrix of random samples from the Gamma distribution with parameters A and B.  Both A and B must be scalar or of size R by C.

     If R and C are omitted, the size of the result matrix is the common size of A and B.  See also: gamma, gammaln, gammainc, gampdf, gamcdf, gaminv.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 111
Return an R by C or a `size (SZ)' matrix of random samples from the Gamma distribution with parameters A and B.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
norminv
# name: <cell-element>
# type: string
# elements: 1
# length: 224
 -- Function File:  norminv (X, M, S)
     For each element of X, compute the quantile (the inverse of the CDF) at X of the normal distribution with mean M and standard deviation S.

     Default values are M = 0, S = 1.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 138
For each element of X, compute the quantile (the inverse of the CDF) at X of the normal distribution with mean M and standard deviation S.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
poisscdf
# name: <cell-element>
# type: string
# elements: 1
# length: 179
 -- Function File:  poisscdf (X, LAMBDA)
     For each element of X, compute the cumulative distribution function (CDF) at X of the Poisson distribution with parameter lambda.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 129
For each element of X, compute the cumulative distribution function (CDF) at X of the Poisson distribution with parameter lambda.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
poisspdf
# name: <cell-element>
# type: string
# elements: 1
# length: 175
 -- Function File:  poisspdf (X, LAMBDA)
     For each element of X, compute the probability density function (PDF) at X of the poisson distribution with parameter LAMBDA.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 125
For each element of X, compute the probability density function (PDF) at X of the poisson distribution with parameter LAMBDA.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
geocdf
# name: <cell-element>
# type: string
# elements: 1
# length: 134
 -- Function File:  geocdf (X, P)
     For each element of X, compute the CDF at X of the geometric distribution with parameter P.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 91
For each element of X, compute the CDF at X of the geometric distribution with parameter P.

# name: <cell-element>
# type: string
# elements: 1
# length: 13
empirical_inv
# name: <cell-element>
# type: string
# elements: 1
# length: 198
 -- Function File:  empirical_inv (X, DATA)
     For each element of X, compute the quantile (the inverse of the CDF) at X of the empirical distribution obtained from the univariate sample DATA.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 145
For each element of X, compute the quantile (the inverse of the CDF) at X of the empirical distribution obtained from the univariate sample DATA.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
gaminv
# name: <cell-element>
# type: string
# elements: 1
# length: 233
 -- Function File:  gaminv (X, A, B)
     For each component of X, compute the quantile (the inverse of the CDF) at X of the Gamma distribution with parameters A and B.  See also: gamma, gammaln, gammainc, gampdf, gamcdf, gamrnd.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 126
For each component of X, compute the quantile (the inverse of the CDF) at X of the Gamma distribution with parameters A and B.

# name: <cell-element>
# type: string
# elements: 1
# length: 12
discrete_cdf
# name: <cell-element>
# type: string
# elements: 1
# length: 220
 -- Function File:  discrete_cdf (X, V, P)
     For each element of X, compute the cumulative distribution function (CDF) at X of a univariate discrete distribution which assumes the values in V with probabilities P.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 168
For each element of X, compute the cumulative distribution function (CDF) at X of a univariate discrete distribution which assumes the values in V with probabilities P.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
cauchy_pdf
# name: <cell-element>
# type: string
# elements: 1
# length: 265
 -- Function File:  cauchy_pdf (X, LAMBDA, SIGMA)
     For each element of X, compute the probability density function (PDF) at X of the Cauchy distribution with location parameter LAMBDA and scale parameter SIGMA > 0.  Default values are LAMBDA = 0, SIGMA = 1.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 163
For each element of X, compute the probability density function (PDF) at X of the Cauchy distribution with location parameter LAMBDA and scale parameter SIGMA > 0.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
betarnd
# name: <cell-element>
# type: string
# elements: 1
# length: 337
 -- Function File:  betarnd (A, B, R, C)
 -- Function File:  betarnd (A, B, SZ)
     Return an R by C or `size (SZ)' matrix of random samples from the Beta distribution with parameters A and B.  Both A and B must be scalar or of size R  by C.

     If R and C are omitted, the size of the result matrix is the common size of A and B.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 108
Return an R by C or `size (SZ)' matrix of random samples from the Beta distribution with parameters A and B.

# name: <cell-element>
# type: string
# elements: 1
# length: 13
empirical_rnd
# name: <cell-element>
# type: string
# elements: 1
# length: 377
 -- Function File:  empirical_rnd (N, DATA)
 -- Function File:  empirical_rnd (DATA, R, C)
 -- Function File:  empirical_rnd (DATA, SZ)
     Generate a bootstrap sample of size N from the empirical distribution obtained from the univariate sample DATA.

     If R and C are given create a matrix with R rows and C columns.  Or if SZ is a vector, create a matrix of size SZ.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 111
Generate a bootstrap sample of size N from the empirical distribution obtained from the univariate sample DATA.

# name: <cell-element>
# type: string
# elements: 1
# length: 13
stdnormal_inv
# name: <cell-element>
# type: string
# elements: 1
# length: 159
 -- Function File:  stdnormal_inv (X)
     For each component of X, compute the quantile (the inverse of the CDF) at X of the standard normal distribution.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 112
For each component of X, compute the quantile (the inverse of the CDF) at X of the standard normal distribution.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
normcdf
# name: <cell-element>
# type: string
# elements: 1
# length: 229
 -- Function File:  normcdf (X, M, S)
     For each element of X, compute the cumulative distribution function (CDF) at X of the normal distribution with mean M and standard deviation S.

     Default values are M = 0, S = 1.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 143
For each element of X, compute the cumulative distribution function (CDF) at X of the normal distribution with mean M and standard deviation S.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
gampdf
# name: <cell-element>
# type: string
# elements: 1
# length: 231
 -- Function File:  gampdf (X, A, B)
     For each element of X, return the probability density function (PDF) at X of the Gamma distribution with parameters A and B.  See also: gamma, gammaln, gammainc, gamcdf, gaminv, gamrnd.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 124
For each element of X, return the probability density function (PDF) at X of the Gamma distribution with parameters A and B.

# name: <cell-element>
# type: string
# elements: 1
# length: 12
discrete_rnd
# name: <cell-element>
# type: string
# elements: 1
# length: 427
 -- Function File:  discrete_rnd (N, V, P)
 -- Function File:  discrete_rnd (V, P, R, C)
 -- Function File:  discrete_rnd (V, P, SZ)
     Generate a row vector containing a random sample of size N from the univariate distribution which assumes the values in V with probabilities P.  N must be a scalar.

     If R and C are given create a matrix with R rows and C columns.  Or if SZ is a vector, create a matrix of size SZ.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 143
Generate a row vector containing a random sample of size N from the univariate distribution which assumes the values in V with probabilities P.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
chi2cdf
# name: <cell-element>
# type: string
# elements: 1
# length: 179
 -- Function File:  chi2cdf (X, N)
     For each element of X, compute the cumulative distribution function (CDF) at X of the chisquare distribution with N degrees of freedom.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 135
For each element of X, compute the cumulative distribution function (CDF) at X of the chisquare distribution with N degrees of freedom.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
expinv
# name: <cell-element>
# type: string
# elements: 1
# length: 171
 -- Function File:  expinv (X, LAMBDA)
     For each element of X, compute the quantile (the inverse of the CDF) at X of the exponential distribution with mean LAMBDA.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 123
For each element of X, compute the quantile (the inverse of the CDF) at X of the exponential distribution with mean LAMBDA.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
chi2pdf
# name: <cell-element>
# type: string
# elements: 1
# length: 181
 -- Function File:  chisquare_pdf (X, N)
     For each element of X, compute the probability density function (PDF) at X of the chisquare distribution with N degrees of freedom.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 131
For each element of X, compute the probability density function (PDF) at X of the chisquare distribution with N degrees of freedom.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
unifcdf
# name: <cell-element>
# type: string
# elements: 1
# length: 178
 -- Function File:  unifcdf (X, A, B)
     Return the CDF at X of the uniform distribution on [A, B], i.e., PROB (uniform (A, B) <= x).

     Default values are A = 0, B = 1.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 61
Return the CDF at X of the uniform distribution on [A, B], i.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
betapdf
# name: <cell-element>
# type: string
# elements: 1
# length: 140
 -- Function File:  betapdf (X, A, B)
     For each element of X, returns the PDF at X of the beta distribution with parameters A and B.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 93
For each element of X, returns the PDF at X of the beta distribution with parameters A and B.

# name: <cell-element>
# type: string
# elements: 1
# length: 13
stdnormal_rnd
# name: <cell-element>
# type: string
# elements: 1
# length: 184
 -- Function File:  stdnormal_rnd (R, C)
 -- Function File:  stdnormal_rnd (SZ)
     Return an R by C or `size (SZ)' matrix of random numbers from the standard normal distribution.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 95
Return an R by C or `size (SZ)' matrix of random numbers from the standard normal distribution.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
unidrnd
# name: <cell-element>
# type: string
# elements: 1
# length: 461
 -- Function File:  unidrnd (MX);
 -- Function File:  unidrnd (MX, V);
 -- Function File:  unidrnd (MX, M, N, ...);
     Return random values from discrete uniform distribution, with maximum value(s) given by the integer MX, which may be a scalar or multidimensional array.

     If MX is a scalar, the size of the result is specified by the vector V, or by the optional arguments M, N, ....  Otherwise, the size of the result is the same as the size of MX.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 152
Return random values from discrete uniform distribution, with maximum value(s) given by the integer MX, which may be a scalar or multidimensional array.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
hygepdf
# name: <cell-element>
# type: string
# elements: 1
# length: 394
 -- Function File:  hygepdf (X, T, M, N)
     Compute the probability density function (PDF) at X of the hypergeometric distribution with parameters T, M, and N.  This is the probability of obtaining X marked items when randomly drawing a sample of size N without replacement from a population of total size T containing M marked items.

     The arguments must be of common size or scalar.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 115
Compute the probability density function (PDF) at X of the hypergeometric distribution with parameters T, M, and N.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
wblrnd
# name: <cell-element>
# type: string
# elements: 1
# length: 395
 -- Function File:  wblrnd (SCALE, SHAPE, R, C)
 -- Function File:  wblrnd (SCALE, SHAPE, SZ)
     Return an R by C matrix of random samples from the Weibull distribution with parameters SCALE and SHAPE which must be scalar or of size R by C.  Or if SZ is a vector return a matrix of size SZ.

     If R and C are omitted, the size of the result matrix is the common size of ALPHA and SIGMA.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 143
Return an R by C matrix of random samples from the Weibull distribution with parameters SCALE and SHAPE which must be scalar or of size R by C.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
cauchy_cdf
# name: <cell-element>
# type: string
# elements: 1
# length: 265
 -- Function File:  cauchy_cdf (X, LAMBDA, SIGMA)
     For each element of X, compute the cumulative distribution function (CDF) at X of the Cauchy distribution with location parameter LAMBDA and scale parameter SIGMA.  Default values are LAMBDA = 0, SIGMA = 1.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 163
For each element of X, compute the cumulative distribution function (CDF) at X of the Cauchy distribution with location parameter LAMBDA and scale parameter SIGMA.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
normrnd
# name: <cell-element>
# type: string
# elements: 1
# length: 363
 -- Function File:  normrnd (M, S, R, C)
 -- Function File:  normrnd (M, S, SZ)
     Return an R by C  or `size (SZ)' matrix of random samples from the normal distribution with parameters mean M and standard deviation S.  Both M and S must be scalar or of size R by C.

     If R and C are omitted, the size of the result matrix is the common size of M and S.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 134
Return an R by C or `size (SZ)' matrix of random samples from the normal distribution with parameters mean M and standard deviation S.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
exppdf
# name: <cell-element>
# type: string
# elements: 1
# length: 167
 -- Function File:  exppdf (X, LAMBDA)
     For each element of X, compute the probability density function (PDF) of the exponential distribution with mean LAMBDA.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 119
For each element of X, compute the probability density function (PDF) of the exponential distribution with mean LAMBDA.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
unidinv
# name: <cell-element>
# type: string
# elements: 1
# length: 212
 -- Function File:  unidinv (X, V)
     For each component of X, compute the quantile (the inverse of the CDF) at X of the univariate discrete distribution which assumes the values in V with equal probability
   
# name: <cell-element>
# type: string
# elements: 1
# length: 170
For each component of X, compute the quantile (the inverse of the CDF) at X of the univariate discrete distribution which assumes the values in V with equal probability  

# name: <cell-element>
# type: string
# elements: 1
# length: 4
finv
# name: <cell-element>
# type: string
# elements: 1
# length: 166
 -- Function File:  finv (X, M, N)
     For each component of X, compute the quantile (the inverse of the CDF) at X of the F distribution with parameters M and N.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 122
For each component of X, compute the quantile (the inverse of the CDF) at X of the F distribution with parameters M and N.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
normpdf
# name: <cell-element>
# type: string
# elements: 1
# length: 225
 -- Function File:  normpdf (X, M, S)
     For each element of X, compute the probability density function (PDF) at X of the normal distribution with mean M and standard deviation S.

     Default values are M = 0, S = 1.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 139
For each element of X, compute the probability density function (PDF) at X of the normal distribution with mean M and standard deviation S.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
logninv
# name: <cell-element>
# type: string
# elements: 1
# length: 357
 -- Function File:  logninv (X, MU, SIGMA)
     For each element of X, compute the quantile (the inverse of the CDF) at X of the lognormal distribution with parameters MU and SIGMA.  If a random variable follows this distribution, its logarithm is normally distributed with mean `log (MU)' and variance SIGMA.

     Default values are MU = 1, SIGMA = 1.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 133
For each element of X, compute the quantile (the inverse of the CDF) at X of the lognormal distribution with parameters MU and SIGMA.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
expcdf
# name: <cell-element>
# type: string
# elements: 1
# length: 229
 -- Function File:  expcdf (X, LAMBDA)
     For each element of X, compute the cumulative distribution function (CDF) at X of the exponential distribution with mean LAMBDA.

     The arguments can be of common size or scalar.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 128
For each element of X, compute the cumulative distribution function (CDF) at X of the exponential distribution with mean LAMBDA.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
logncdf
# name: <cell-element>
# type: string
# elements: 1
# length: 364
 -- Function File:  logncdf (X, MU, SIGMA)
     For each element of X, compute the cumulative distribution function (CDF) at X of the lognormal distribution with parameters MU and SIGMA.  If a random variable follows this distribution, its logarithm is normally distributed with mean MU and standard deviation SIGMA.

     Default values are MU = 1, SIGMA = 1.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 138
For each element of X, compute the cumulative distribution function (CDF) at X of the lognormal distribution with parameters MU and SIGMA.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
laplace_pdf
# name: <cell-element>
# type: string
# elements: 1
# length: 148
 -- Function File:  laplace_pdf (X)
     For each element of X, compute the probability density function (PDF) at X of the Laplace distribution.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 103
For each element of X, compute the probability density function (PDF) at X of the Laplace distribution.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
laplace_rnd
# name: <cell-element>
# type: string
# elements: 1
# length: 204
 -- Function File:  laplace_rnd (R, C)
 -- Function File:  laplace_rnd (SZ);
     Return an R by C matrix of random numbers from the Laplace distribution.  Or if SZ is a vector, create a matrix of SZ.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 72
Return an R by C matrix of random numbers from the Laplace distribution.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
lognrnd
# name: <cell-element>
# type: string
# elements: 1
# length: 402
 -- Function File:  lognrnd (MU, SIGMA, R, C)
 -- Function File:  lognrnd (MU, SIGMA, SZ)
     Return an R by C matrix of random samples from the lognormal distribution with parameters MU and SIGMA.  Both MU and SIGMA must be scalar or of size R by C.  Or if SZ is a vector, create a matrix of size SZ.

     If R and C are omitted, the size of the result matrix is the common size of MU and SIGMA.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 103
Return an R by C matrix of random samples from the lognormal distribution with parameters MU and SIGMA.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
poissinv
# name: <cell-element>
# type: string
# elements: 1
# length: 176
 -- Function File:  poissinv (X, LAMBDA)
     For each component of X, compute the quantile (the inverse of the CDF) at X of the Poisson distribution with parameter LAMBDA.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 126
For each component of X, compute the quantile (the inverse of the CDF) at X of the Poisson distribution with parameter LAMBDA.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
hygeinv
# name: <cell-element>
# type: string
# elements: 1
# length: 251
 -- Function File:  hygeinv (X, T, M, N)
     For each element of X, compute the quantile at X of the hypergeometric distribution with parameters T, M, and N.

     The parameters T, M, and N must positive integers with M and N not greater than T.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 112
For each element of X, compute the quantile at X of the hypergeometric distribution with parameters T, M, and N.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
fcdf
# name: <cell-element>
# type: string
# elements: 1
# length: 170
 -- Function File:  fcdf (X, M, N)
     For each element of X, compute the CDF at X of the F distribution with M and N degrees of freedom, i.e., PROB (F (M, N) <= X).
   
# name: <cell-element>
# type: string
# elements: 1
# length: 101
For each element of X, compute the CDF at X of the F distribution with M and N degrees of freedom, i.

# name: <cell-element>
# type: string
# elements: 1
# length: 13
stdnormal_cdf
# name: <cell-element>
# type: string
# elements: 1
# length: 129
 -- Function File:  stdnormal_cdf (X)
     For each component of X, compute the CDF of the standard normal distribution at X.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 82
For each component of X, compute the CDF of the standard normal distribution at X.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
nbininv
# name: <cell-element>
# type: string
# elements: 1
# length: 300
 -- Function File:  nbininv (X, N, P)
     For each element of X, compute the quantile at X of the Pascal (negative binomial) distribution with parameters N and P.

     The number of failures in a Bernoulli experiment with success probability P before the N-th success follows this distribution.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 120
For each element of X, compute the quantile at X of the Pascal (negative binomial) distribution with parameters N and P.

# name: <cell-element>
# type: string
# elements: 1
# length: 12
logistic_inv
# name: <cell-element>
# type: string
# elements: 1
# length: 151
 -- Function File:  logistic_inv (X)
     For each component of X, compute the quantile (the inverse of the CDF) at X of the logistic distribution.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 105
For each component of X, compute the quantile (the inverse of the CDF) at X of the logistic distribution.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
hygecdf
# name: <cell-element>
# type: string
# elements: 1
# length: 447
 -- Function File:  hygecdf (X, T, M, N)
     Compute the cumulative distribution function (CDF) at X of the hypergeometric distribution with parameters T, M, and N.  This is the probability of obtaining not more than X marked items when randomly drawing a sample of size N without replacement from a population of total size T containing M marked items.

     The parameters T, M, and N must positive integers with M and N not greater than T.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 119
Compute the cumulative distribution function (CDF) at X of the hypergeometric distribution with parameters T, M, and N.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
unidpdf
# name: <cell-element>
# type: string
# elements: 1
# length: 210
 -- Function File:  unidpdf (X, V)
     For each element of X, compute the probability density function (PDF) at X of a univariate discrete distribution which assumes the values in V with equal probability.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 166
For each element of X, compute the probability density function (PDF) at X of a univariate discrete distribution which assumes the values in V with equal probability.

# name: <cell-element>
# type: string
# elements: 1
# length: 12
logistic_cdf
# name: <cell-element>
# type: string
# elements: 1
# length: 121
 -- Function File:  logistic_cdf (X)
     For each component of X, compute the CDF at X of the logistic distribution.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 75
For each component of X, compute the CDF at X of the logistic distribution.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
gamcdf
# name: <cell-element>
# type: string
# elements: 1
# length: 236
 -- Function File:  gamcdf (X, A, B)
     For each element of X, compute the cumulative distribution function (CDF) at X of the Gamma distribution with parameters A and B.  See also: gamma, gammaln, gammainc, gampdf, gaminv, gamrnd.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 129
For each element of X, compute the cumulative distribution function (CDF) at X of the Gamma distribution with parameters A and B.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
unifinv
# name: <cell-element>
# type: string
# elements: 1
# length: 198
 -- Function File:  unifinv (X, A, B)
     For each element of X, compute the quantile (the inverse of the CDF) at X of the uniform distribution on [A, B].

     Default values are A = 0, B = 1.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 112
For each element of X, compute the quantile (the inverse of the CDF) at X of the uniform distribution on [A, B].

# name: <cell-element>
# type: string
# elements: 1
# length: 4
tpdf
# name: <cell-element>
# type: string
# elements: 1
# length: 174
 -- Function File:  tpdf (X, N)
     For each element of X, compute the probability density function (PDF) at X of the T (Student) distribution with N degrees of freedom.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 133
For each element of X, compute the probability density function (PDF) at X of the T (Student) distribution with N degrees of freedom.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
nbinpdf
# name: <cell-element>
# type: string
# elements: 1
# length: 326
 -- Function File:  nbinpdf (X, N, P)
     For each element of X, compute the probability density function (PDF) at X of the Pascal (negative binomial) distribution with parameters N and P.

     The number of failures in a Bernoulli experiment with success probability P before the N-th success follows this distribution.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 146
For each element of X, compute the probability density function (PDF) at X of the Pascal (negative binomial) distribution with parameters N and P.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
geoinv
# name: <cell-element>
# type: string
# elements: 1
# length: 139
 -- Function File:  geoinv (X, P)
     For each element of X, compute the quantile at X of the geometric distribution with parameter P.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 96
For each element of X, compute the quantile at X of the geometric distribution with parameter P.

# name: <cell-element>
# type: string
# elements: 1
# length: 12
discrete_inv
# name: <cell-element>
# type: string
# elements: 1
# length: 210
 -- Function File:  discrete_inv (X, V, P)
     For each component of X, compute the quantile (the inverse of the CDF) at X of the univariate distribution which assumes the values in V with probabilities P.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 158
For each component of X, compute the quantile (the inverse of the CDF) at X of the univariate distribution which assumes the values in V with probabilities P.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
unidcdf
# name: <cell-element>
# type: string
# elements: 1
# length: 214
 -- Function File:  unidcdf (X, V)
     For each element of X, compute the cumulative distribution function (CDF) at X of a univariate discrete distribution which assumes the values in V with equal probability.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 170
For each element of X, compute the cumulative distribution function (CDF) at X of a univariate discrete distribution which assumes the values in V with equal probability.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
binopdf
# name: <cell-element>
# type: string
# elements: 1
# length: 175
 -- Function File:  binopdf (X, N, P)
     For each element of X, compute the probability density function (PDF) at X of the binomial distribution with parameters N and P.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 128
For each element of X, compute the probability density function (PDF) at X of the binomial distribution with parameters N and P.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
wblcdf
# name: <cell-element>
# type: string
# elements: 1
# length: 254
 -- Function File:  wblcdf (X, SCALE, SHAPE)
     Compute the cumulative distribution function (CDF) at X of the Weibull distribution with shape parameter SCALE and scale parameter SHAPE, which is

          1 - exp(-(x/shape)^scale)
     for X >= 0.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 147
Compute the cumulative distribution function (CDF) at X of the Weibull distribution with shape parameter SCALE and scale parameter SHAPE, which is 

# name: <cell-element>
# type: string
# elements: 1
# length: 7
hygernd
# name: <cell-element>
# type: string
# elements: 1
# length: 474
 -- Function File:  hygernd (T, M, N, R, C)
 -- Function File:  hygernd (T, M, N, SZ)
 -- Function File:  hygernd (T, M, N)
     Return an R by C matrix of random samples from the hypergeometric distribution with parameters T, M, and N.

     The parameters T, M, and N must positive integers with M and N not greater than T.

     The parameter SZ must be scalar or a vector of matrix dimensions.  If SZ is scalar, then a SZ by SZ matrix of random samples is generated.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 107
Return an R by C matrix of random samples from the hypergeometric distribution with parameters T, M, and N.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
trnd
# name: <cell-element>
# type: string
# elements: 1
# length: 346
 -- Function File:  trnd (N, R, C)
 -- Function File:  trnd (N, SZ)
     Return an R by C matrix of random samples from the t (Student) distribution with N degrees of freedom.  N must be a scalar or of size R by C.  Or if SZ is a vector create a matrix of size SZ.

     If R and C are omitted, the size of the result matrix is the size of N.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 102
Return an R by C matrix of random samples from the t (Student) distribution with N degrees of freedom.

# name: <cell-element>
# type: string
# elements: 1
# length: 22
kolmogorov_smirnov_cdf
# name: <cell-element>
# type: string
# elements: 1
# length: 365
 -- Function File:  kolmogorov_smirnov_cdf (X, TOL)
     Return the CDF at X of the Kolmogorov-Smirnov distribution,
                   Inf
          Q(x) =   SUM    (-1)^k exp(-2 k^2 x^2)
                 k = -Inf

     for X > 0.

     The optional parameter TOL specifies the precision up to which the series should be evaluated;  the default is TOL = `eps'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 110
Return the CDF at X of the Kolmogorov-Smirnov distribution,  Inf  Q(x) = SUM (-1)^k exp(-2 k^2 x^2)  k = -Inf 

# name: <cell-element>
# type: string
# elements: 1
# length: 11
laplace_cdf
# name: <cell-element>
# type: string
# elements: 1
# length: 152
 -- Function File:  laplace_cdf (X)
     For each element of X, compute the cumulative distribution function (CDF) at X of the Laplace distribution.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 107
For each element of X, compute the cumulative distribution function (CDF) at X of the Laplace distribution.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
exprnd
# name: <cell-element>
# type: string
# elements: 1
# length: 360
 -- Function File:  exprnd (LAMBDA, R, C)
 -- Function File:  exprnd (LAMBDA, SZ)
     Return an R by C matrix of random samples from the exponential distribution with mean LAMBDA, which must be a scalar or of size R by C.  Or if SZ is a vector, create a matrix of size SZ.

     If R and C are omitted, the size of the result matrix is the size of LAMBDA.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 135
Return an R by C matrix of random samples from the exponential distribution with mean LAMBDA, which must be a scalar or of size R by C.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
poissrnd
# name: <cell-element>
# type: string
# elements: 1
# length: 272
 -- Function File:  poissrnd (LAMBDA, R, C)
     Return an R by C matrix of random samples from the Poisson distribution with parameter LAMBDA, which must be a scalar or of size R by C.

     If R and C are omitted, the size of the result matrix is the size of LAMBDA.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 136
Return an R by C matrix of random samples from the Poisson distribution with parameter LAMBDA, which must be a scalar or of size R by C.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
chi2inv
# name: <cell-element>
# type: string
# elements: 1
# length: 174
 -- Function File:  chi2inv (X, N)
     For each element of X, compute the quantile (the inverse of the CDF) at X of the chisquare distribution with N degrees of freedom.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 130
For each element of X, compute the quantile (the inverse of the CDF) at X of the chisquare distribution with N degrees of freedom.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
unifrnd
# name: <cell-element>
# type: string
# elements: 1
# length: 327
 -- Function File:  unifrnd (A, B, R, C)
 -- Function File:  unifrnd (A, B, SZ)
     Return an R by C or a `size (SZ)' matrix of random samples from the uniform distribution on [A, B].  Both A and B must be scalar or of size R by C.

     If R and C are omitted, the size of the result matrix is the common size of A and B.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 99
Return an R by C or a `size (SZ)' matrix of random samples from the uniform distribution on [A, B].

# name: <cell-element>
# type: string
# elements: 1
# length: 12
logistic_rnd
# name: <cell-element>
# type: string
# elements: 1
# length: 206
 -- Function File:  logistic_rnd (R, C)
 -- Function File:  logistic_rnd (SZ)
     Return an R by C matrix of random numbers from the logistic distribution.  Or if SZ is a vector, create a matrix of SZ.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 73
Return an R by C matrix of random numbers from the logistic distribution.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
cauchy_rnd
# name: <cell-element>
# type: string
# elements: 1
# length: 378
 -- Function File:  cauchy_rnd (LAMBDA, SIGMA, R, C)
 -- Function File:  cauchy_rnd (LAMBDA, SIGMA, SZ)
     Return an R by C or a `size (SZ)' matrix of random samples from the Cauchy distribution with parameters LAMBDA and SIGMA which must both be scalar or of size R by C.

     If R and C are omitted, the size of the result matrix is the common size of LAMBDA and SIGMA.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 165
Return an R by C or a `size (SZ)' matrix of random samples from the Cauchy distribution with parameters LAMBDA and SIGMA which must both be scalar or of size R by C.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
betainv
# name: <cell-element>
# type: string
# elements: 1
# length: 172
 -- Function File:  betainv (X, A, B)
     For each component of X, compute the quantile (the inverse of the CDF) at X of the Beta distribution with parameters A and B.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 125
For each component of X, compute the quantile (the inverse of the CDF) at X of the Beta distribution with parameters A and B.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
unifpdf
# name: <cell-element>
# type: string
# elements: 1
# length: 168
 -- Function File:  unifpdf (X, A, B)
     For each element of X, compute the PDF at X of the uniform distribution on [A, B].

     Default values are A = 0, B = 1.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 82
For each element of X, compute the PDF at X of the uniform distribution on [A, B].

# name: <cell-element>
# type: string
# elements: 1
# length: 7
betacdf
# name: <cell-element>
# type: string
# elements: 1
# length: 171
 -- Function File:  betacdf (X, A, B)
     For each element of X, returns the CDF at X of the beta distribution with parameters A and B, i.e., PROB (beta (A, B) <= X).
   
# name: <cell-element>
# type: string
# elements: 1
# length: 96
For each element of X, returns the CDF at X of the beta distribution with parameters A and B, i.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
lognpdf
# name: <cell-element>
# type: string
# elements: 1
# length: 360
 -- Function File:  lognpdf (X, MU, SIGMA)
     For each element of X, compute the probability density function (PDF) at X of the lognormal distribution with parameters MU and SIGMA.  If a random variable follows this distribution, its logarithm is normally distributed with mean MU and standard deviation SIGMA.

     Default values are MU = 1, SIGMA = 1.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 134
For each element of X, compute the probability density function (PDF) at X of the lognormal distribution with parameters MU and SIGMA.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
nbincdf
# name: <cell-element>
# type: string
# elements: 1
# length: 295
 -- Function File:  nbincdf (X, N, P)
     For each element of X, compute the CDF at x of the Pascal (negative binomial) distribution with parameters N and P.

     The number of failures in a Bernoulli experiment with success probability P before the N-th success follows this distribution.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 115
For each element of X, compute the CDF at x of the Pascal (negative binomial) distribution with parameters N and P.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
geopdf
# name: <cell-element>
# type: string
# elements: 1
# length: 165
 -- Function File:  geopdf (X, P)
     For each element of X, compute the probability density function (PDF) at X of the geometric distribution with parameter P.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 122
For each element of X, compute the probability density function (PDF) at X of the geometric distribution with parameter P.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
wienrnd
# name: <cell-element>
# type: string
# elements: 1
# length: 432
 -- Function File:  wienrnd (T, D, N)
     Return a simulated realization of the D-dimensional Wiener Process on the interval [0, T].  If D is omitted, D = 1 is used.  The first column of the return matrix contains time, the remaining columns contain the Wiener process.

     The optional parameter N gives the number of summands used for simulating the process over an interval of length 1.  If N is omitted, N = 1000 is used.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 90
Return a simulated realization of the D-dimensional Wiener Process on the interval [0, T].

# name: <cell-element>
# type: string
# elements: 1
# length: 13
empirical_cdf
# name: <cell-element>
# type: string
# elements: 1
# length: 203
 -- Function File:  empirical_cdf (X, DATA)
     For each element of X, compute the cumulative distribution function (CDF) at X of the empirical distribution obtained from the univariate sample DATA.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 150
For each element of X, compute the cumulative distribution function (CDF) at X of the empirical distribution obtained from the univariate sample DATA.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
geornd
# name: <cell-element>
# type: string
# elements: 1
# length: 335
 -- Function File:  geornd (P, R, C)
 -- Function File:  geornd (P, SZ)
     Return an R by C matrix of random samples from the geometric distribution with parameter P, which must be a scalar or of size R by C.

     If R and C are given create a matrix with R rows and C columns.  Or if SZ is a vector, create a matrix of size SZ.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 133
Return an R by C matrix of random samples from the geometric distribution with parameter P, which must be a scalar or of size R by C.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
binocdf
# name: <cell-element>
# type: string
# elements: 1
# length: 144
 -- Function File:  binocdf (X, N, P)
     For each element of X, compute the CDF at X of the binomial distribution with parameters N and P.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 97
For each element of X, compute the CDF at X of the binomial distribution with parameters N and P.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
tinv
# name: <cell-element>
# type: string
# elements: 1
# length: 294
 -- Function File:  tinv (X, N)
     For each probability value X, compute the inverse of the cumulative distribution function (CDF) of the t (Student) distribution with degrees of freedom N.  This function is analogous to looking in a table for the t-value of a single-tailed distribution.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 154
For each probability value X, compute the inverse of the cumulative distribution function (CDF) of the t (Student) distribution with degrees of freedom N.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
binornd
# name: <cell-element>
# type: string
# elements: 1
# length: 343
 -- Function File:  binornd (N, P, R, C)
 -- Function File:  binornd (N, P, SZ)
     Return an R by C  or a `size (SZ)' matrix of random samples from the binomial distribution with parameters N and P.  Both N and P must be scalar or of size R by C.

     If R and C are omitted, the size of the result matrix is the common size of N and P.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 114
Return an R by C or a `size (SZ)' matrix of random samples from the binomial distribution with parameters N and P.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
tcdf
# name: <cell-element>
# type: string
# elements: 1
# length: 202
 -- Function File:  tcdf (X, N)
     For each element of X, compute the cumulative distribution function (CDF) at X of the t (Student) distribution with N degrees of freedom, i.e., PROB (t(N) <= X).
   
# name: <cell-element>
# type: string
# elements: 1
# length: 140
For each element of X, compute the cumulative distribution function (CDF) at X of the t (Student) distribution with N degrees of freedom, i.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
fpdf
# name: <cell-element>
# type: string
# elements: 1
# length: 173
 -- Function File:  fpdf (X, M, N)
     For each element of X, compute the probability density function (PDF) at X of the F distribution with M and N degrees of freedom.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 129
For each element of X, compute the probability density function (PDF) at X of the F distribution with M and N degrees of freedom.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
wblinv
# name: <cell-element>
# type: string
# elements: 1
# length: 186
 -- Function File:  wblinv (X, SCALE, SHAPE)
     Compute the quantile (the inverse of the CDF) at X of the Weibull distribution with shape parameter SCALE and scale parameter SHAPE.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 132
Compute the quantile (the inverse of the CDF) at X of the Weibull distribution with shape parameter SCALE and scale parameter SHAPE.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
cauchy_inv
# name: <cell-element>
# type: string
# elements: 1
# length: 260
 -- Function File:  cauchy_inv (X, LAMBDA, SIGMA)
     For each element of X, compute the quantile (the inverse of the CDF) at X of the Cauchy distribution with location parameter LAMBDA and scale parameter SIGMA.  Default values are LAMBDA = 0, SIGMA = 1.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 158
For each element of X, compute the quantile (the inverse of the CDF) at X of the Cauchy distribution with location parameter LAMBDA and scale parameter SIGMA.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
nbinrnd
# name: <cell-element>
# type: string
# elements: 1
# length: 394
 -- Function File:  nbinrnd (N, P, R, C)
 -- Function File:  nbinrnd (N, P, SZ)
     Return an R by C matrix of random samples from the Pascal (negative binomial) distribution with parameters N and P.  Both N and P must be scalar or of size R by C.

     If R and C are omitted, the size of the result matrix is the common size of N and P.  Or if SZ is a vector, create a matrix of size SZ.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 115
Return an R by C matrix of random samples from the Pascal (negative binomial) distribution with parameters N and P.

# name: <cell-element>
# type: string
# elements: 1
# length: 13
empirical_pdf
# name: <cell-element>
# type: string
# elements: 1
# length: 199
 -- Function File:  empirical_pdf (X, DATA)
     For each element of X, compute the probability density function (PDF) at X of the empirical distribution obtained from the univariate sample DATA.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 146
For each element of X, compute the probability density function (PDF) at X of the empirical distribution obtained from the univariate sample DATA.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
wblpdf
# name: <cell-element>
# type: string
# elements: 1
# length: 296
 -- Function File:  wblpdf (X, SCALE, SHAPE)
     Compute the probability density function (PDF) at X of the Weibull distribution with shape parameter SCALE and scale parameter SHAPE which is given by

             scale * shape^(-scale) * x^(scale-1) * exp(-(x/shape)^scale)

     for X > 0.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 151
Compute the probability density function (PDF) at X of the Weibull distribution with shape parameter SCALE and scale parameter SHAPE which is given by 

# name: <cell-element>
# type: string
# elements: 1
# length: 11
laplace_inv
# name: <cell-element>
# type: string
# elements: 1
# length: 147
 -- Function File:  laplace_inv (X)
     For each element of X, compute the quantile (the inverse of the CDF) at X of the Laplace distribution.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 102
For each element of X, compute the quantile (the inverse of the CDF) at X of the Laplace distribution.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
chi2rnd
# name: <cell-element>
# type: string
# elements: 1
# length: 318
 -- Function File:  chi2rnd (N, R, C)
 -- Function File:  chi2rnd (N, SZ)
     Return an R by C  or a `size (SZ)' matrix of random samples from the chisquare distribution with N degrees of freedom.  N must be a scalar or of size R by C.

     If R and C are omitted, the size of the result matrix is the size of N.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 117
Return an R by C or a `size (SZ)' matrix of random samples from the chisquare distribution with N degrees of freedom.

# name: <cell-element>
# type: string
# elements: 1
# length: 12
discrete_pdf
# name: <cell-element>
# type: string
# elements: 1
# length: 216
 -- Function File:  discrete_pdf (X, V, P)
     For each element of X, compute the probability density function (PDF) at X of a univariate discrete distribution which assumes the values in V with probabilities P.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 164
For each element of X, compute the probability density function (PDF) at X of a univariate discrete distribution which assumes the values in V with probabilities P.

# name: <cell-element>
# type: string
# elements: 1
# length: 12
logistic_pdf
# name: <cell-element>
# type: string
# elements: 1
# length: 121
 -- Function File:  logistic_pdf (X)
     For each component of X, compute the PDF at X of the logistic distribution.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 75
For each component of X, compute the PDF at X of the logistic distribution.

# name: <cell-element>
# type: string
# elements: 1
# length: 31
logistic_regression_derivatives
# name: <cell-element>
# type: string
# elements: 1
# length: 206
 -- Function File: [DL, D2L] = logistic_regression_derivatives (X, Z, Z1, G, G1, P)
     Called by logistic_regression.  Calculates derivates of the log-likelihood for ordinal logistic regression model.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 30
Called by logistic_regression.

# name: <cell-element>
# type: string
# elements: 1
# length: 19
logistic_regression
# name: <cell-element>
# type: string
# elements: 1
# length: 1609
 -- Function File: [THETA, BETA, DEV, DL, D2L, P] = logistic_regression (Y, X, PRINT, THETA, BETA)
     Perform ordinal logistic regression.

     Suppose Y takes values in K ordered categories, and let `gamma_i (X)' be the cumulative probability that Y falls in one of the first I categories given the covariate X.  Then

          [theta, beta] = logistic_regression (y, x)

     fits the model

          logit (gamma_i (x)) = theta_i - beta' * x,   i = 1 ... k-1

     The number of ordinal categories, K, is taken to be the number of distinct values of `round (Y)'.  If K equals 2, Y is binary and the model is ordinary logistic regression.  The matrix X is assumed to have full column rank.

     Given Y only, `theta = logistic_regression (y)' fits the model with baseline logit odds only.

     The full form is

          [theta, beta, dev, dl, d2l, gamma]
             = logistic_regression (y, x, print, theta, beta)

     in which all output arguments and all input arguments except Y are optional.

     Setting PRINT to 1 requests summary information about the fitted model to be displayed.  Setting PRINT to 2 requests information about convergence at each iteration.  Other values request no information to be displayed.  The input arguments THETA and BETA give initial estimates for THETA and BETA.

     The returned value DEV holds minus twice the log-likelihood.

     The returned values DL and D2L are the vector of first and the matrix of second derivatives of the log-likelihood with respect to THETA and BETA.

     P holds estimates for the conditional distribution of Y given X.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 36
Perform ordinal logistic regression.

# name: <cell-element>
# type: string
# elements: 1
# length: 30
logistic_regression_likelihood
# name: <cell-element>
# type: string
# elements: 1
# length: 193
 -- Function File: [G, G1, P, DEV] = logistic_regression_likelihood (Y, X, BETA, Z, Z1)
     Calculates likelihood for the ordinal logistic regression model.  Called by logistic_regression.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 64
Calculates likelihood for the ordinal logistic regression model.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
spearman
# name: <cell-element>
# type: string
# elements: 1
# length: 598
 -- Function File:  spearman (X, Y)
     Compute Spearman's rank correlation coefficient RHO for each of the variables specified by the input arguments.

     For matrices, each row is an observation and each column a variable; vectors are always observations and may be row or column vectors.

     `spearman (X)' is equivalent to `spearman (X, X)'.

     For two data vectors X and Y, Spearman's RHO is the correlation of the ranks of X and Y.

     If X and Y are drawn from independent distributions, RHO has zero mean and variance `1 / (n - 1)', and is asymptotically normally distributed.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 111
Compute Spearman's rank correlation coefficient RHO for each of the variables specified by the input arguments.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
ols
# name: <cell-element>
# type: string
# elements: 1
# length: 754
 -- Function File: [BETA, SIGMA, R] = ols (Y, X)
     Ordinary least squares estimation for the multivariate model y = x b + e with mean (e) = 0 and cov (vec (e)) = kron (s, I).   where y is a t by p matrix, x is a t by k matrix, b is a k by p matrix, and e is a t by p matrix.

     Each row of Y and X is an observation and each column a variable.

     The return values BETA, SIGMA, and R are defined as follows.

    BETA
          The OLS estimator for B, `BETA = pinv (X) * Y', where `pinv (X)' denotes the pseudoinverse of X.

    SIGMA
          The OLS estimator for the matrix S,

               SIGMA = (Y-X*BETA)'
                 * (Y-X*BETA)
                 / (T-rank(X))

    R
          The matrix of OLS residuals, `R = Y - X * BETA'.

# name: <cell-element>
# type: string
# elements: 1
# length: 123
Ordinary least squares estimation for the multivariate model y = x b + e with mean (e) = 0 and cov (vec (e)) = kron (s, I).

# name: <cell-element>
# type: string
# elements: 1
# length: 4
mode
# name: <cell-element>
# type: string
# elements: 1
# length: 497
 -- Function File: [M, F, C] = mode (X, DIM)
     Count the most frequently appearing value.  `mode' counts the frequency along the first non-singleton dimension and if two or more values have the same frequency returns the smallest of the two in M.  The dimension along which to count can be specified by the DIM parameter.

     The variable F counts the frequency of each of the most frequently occurring elements.  The cell array C contains all of the elements with the maximum frequency .
   
# name: <cell-element>
# type: string
# elements: 1
# length: 42
Count the most frequently appearing value.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
probit
# name: <cell-element>
# type: string
# elements: 1
# length: 139
 -- Function File:  probit (P)
     For each component of P, return the probit (the quantile of the standard normal distribution) of P.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 99
For each component of P, return the probit (the quantile of the standard normal distribution) of P.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
ppplot
# name: <cell-element>
# type: string
# elements: 1
# length: 827
 -- Function File: [P, Y] = ppplot (X, DIST, PARAMS)
     Perform a PP-plot (probability plot).

     If F is the CDF of the distribution DIST with parameters PARAMS and X a sample vector of length N, the PP-plot graphs ordinate Y(I) = F (I-th largest element of X) versus abscissa P(I) = (I - 0.5)/N.  If the sample comes from F, the pairs will approximately follow a straight line.

     The default for DIST is the standard normal distribution.  The optional argument PARAMS contains a list of parameters of DIST.  For example, for a probability plot of the uniform distribution on [2,4] and X, use

          ppplot (x, "uniform", 2, 4)

     DIST can be any string for which a function DIST_CDF that calculates the CDF of distribution DIST exists.

     If no output arguments are given, the data are plotted directly.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 37
Perform a PP-plot (probability plot).

# name: <cell-element>
# type: string
# elements: 1
# length: 6
qqplot
# name: <cell-element>
# type: string
# elements: 1
# length: 903
 -- Function File: [Q, S] = qqplot (X, DIST, PARAMS)
     Perform a QQ-plot (quantile plot).

     If F is the CDF of the distribution DIST with parameters PARAMS and G its inverse, and X a sample vector of length N, the QQ-plot graphs ordinate S(I) = I-th largest element of x versus abscissa Q(If) = G((I - 0.5)/N).

     If the sample comes from F except for a transformation of location and scale, the pairs will approximately follow a straight line.

     The default for DIST is the standard normal distribution.  The optional argument PARAMS contains a list of parameters of DIST.  For example, for a quantile plot of the uniform distribution on [2,4] and X, use

          qqplot (x, "uniform", 2, 4)

     DIST can be any string for which a function DIST_INV that calculates the inverse CDF of distribution DIST exists.

     If no output arguments are given, the data are plotted directly.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
Perform a QQ-plot (quantile plot).

# name: <cell-element>
# type: string
# elements: 1
# length: 6
median
# name: <cell-element>
# type: string
# elements: 1
# length: 489
 -- Function File:  median (X, DIM)
     If X is a vector, compute the median value of the elements of X.  If the elements of X are sorted, the median is defined as

                      x(ceil(N/2)),             N odd
          median(x) =
                      (x(N/2) + x((N/2)+1))/2,  N even
     If X is a matrix, compute the median value for each column and return them in a row vector.  If the optional DIM argument is given, operate along this dimension.  See also: std, mean.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 64
If X is a vector, compute the median value of the elements of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
cov
# name: <cell-element>
# type: string
# elements: 1
# length: 302
 -- Function File:  cov (X, Y)
     Compute covariance.

     If each row of X and Y is an observation and each column is a variable, the (I, J)-th entry of `cov (X, Y)' is the covariance between the I-th variable in X and the J-th variable in Y.  If called with one argument, compute `cov (X, X)'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 19
Compute covariance.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
table
# name: <cell-element>
# type: string
# elements: 1
# length: 254
 -- Function File: [T, L_X] = table (X)
 -- Function File: [T, L_X, L_Y] = table (X, Y)
     Create a contingency table T from data vectors.  The L vectors are the corresponding levels.

     Currently, only 1- and 2-dimensional tables are supported.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 47
Create a contingency table T from data vectors.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
histc
# name: <cell-element>
# type: string
# elements: 1
# length: 1039
 -- Function File: N = histc (Y, EDGES)
 -- Function File: N = histc (Y, EDGES, DIM)
 -- Function File: [N, IDX] = histc (...)
     Produce histogram counts.

     When Y is a vector, the function counts the number of elements of Y that fall in the histogram bins defined by EDGES.  This must be a vector of monotonically non-decreasing values that define the edges of the histogram bins.  So, `N (k)' contains the number of elements in Y for which `EDGES (k) <= Y < EDGES (k+1)'.  The final element of N contains the number of elements of Y that was equal to the last element of EDGES.

     When Y is a N-dimensional array, the same operation as above is repeated along dimension DIM.  If this argument is given, the operation is performed along the first non-singleton dimension.

     If a second output argument is requested an index matrix is also returned.  The IDX matrix has same size as Y.  Each element of IDX contains the index of the histogram bin in which the corresponding element of Y was counted.

     See also: hist.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 25
Produce histogram counts.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
std
# name: <cell-element>
# type: string
# elements: 1
# length: 780
 -- Function File:  std (X)
 -- Function File:  std (X, OPT)
 -- Function File:  std (X, OPT, DIM)
     If X is a vector, compute the standard deviation of the elements of X.

          std (x) = sqrt (sumsq (x - mean (x)) / (n - 1))
     If X is a matrix, compute the standard deviation for each column and return them in a row vector.

     The argument OPT determines the type of normalization to use.  Valid values are

    0:
          normalizes with N-1, provides the square root of best unbiased estimator of   the variance [default]

    1:
          normalizes with N, this provides the square root of the second moment around   the mean

     The third argument DIM determines the dimension along which the standard deviation is calculated.  See also: mean, median.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 70
If X is a vector, compute the standard deviation of the elements of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
range
# name: <cell-element>
# type: string
# elements: 1
# length: 319
 -- Function File:  range (X)
 -- Function File:  range (X, DIM)
     If X is a vector, return the range, i.e., the difference between the maximum and the minimum, of the input data.

     If X is a matrix, do the above for each column of X.

     If the optional argument DIM is supplied, work along dimension DIM.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 38
If X is a vector, return the range, i.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
skewness
# name: <cell-element>
# type: string
# elements: 1
# length: 340
 -- Function File:  skewness (X, DIM)
     If X is a vector of length n, return the skewness

          skewness (x) = N^(-1) std(x)^(-3) sum ((x - mean(x)).^3)

     of X.  If X is a matrix, return the skewness along the first non-singleton dimension of the matrix.  If the optional DIM argument is given, operate along this dimension.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 50
If X is a vector of length n, return the skewness 

# name: <cell-element>
# type: string
# elements: 1
# length: 10
studentize
# name: <cell-element>
# type: string
# elements: 1
# length: 274
 -- Function File:  studentize (X, DIM)
     If X is a vector, subtract its mean and divide by its standard deviation.

     If X is a matrix, do the above along the first non-singleton dimension.  If the optional argument DIM is given then operate along this dimension.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 73
If X is a vector, subtract its mean and divide by its standard deviation.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
var
# name: <cell-element>
# type: string
# elements: 1
# length: 553
 -- Function File:  var (X)
     For vector arguments, return the (real) variance of the values.  For matrix arguments, return a row vector containing the variance for each column.

     The argument OPT determines the type of normalization to use.  Valid values are

    0:
          Normalizes with N-1, provides the best unbiased estimator of the variance [default].

    1:
          Normalizes with N, this provides the second moment around the mean.

     The third argument DIM determines the dimension along which the variance is calculated.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 63
For vector arguments, return the (real) variance of the values.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
values
# name: <cell-element>
# type: string
# elements: 1
# length: 192
 -- Function File:  values (X)
     Return the different values in a column vector, arranged in ascending order.

     As an example, `values([1, 2, 3, 1])' returns the vector `[1, 2, 3]'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 76
Return the different values in a column vector, arranged in ascending order.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
ranks
# name: <cell-element>
# type: string
# elements: 1
# length: 192
 -- Function File:  ranks (X, DIM)
     Return the ranks of X along the first non-singleton dimension adjust for ties.  If the optional argument DIM is given, operate along this dimension.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 78
Return the ranks of X along the first non-singleton dimension adjust for ties.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
prctile
# name: <cell-element>
# type: string
# elements: 1
# length: 721
 -- Function File: Y = prctile (X, P)
 -- Function File: Q = prctile (X, P, DIM)
     For a sample X, compute the quantiles, Y, corresponding to the cumulative probability values, P, in percent.  All non-numeric values (NaNs) of X are ignored.

     If X is a matrix, compute the percentiles for each column and return them in a matrix, such that the i-th row of Y contains the P(i)th percentiles of each column of X.

     The optional argument DIM determines the dimension along which the percentiles are calculated.  If DIM is omitted, and X is a vector or matrix, it defaults to 1 (column wise quantiles).  In the instance that X is a N-d array, DIM defaults to the first dimension whose size greater than unity.

   
# name: <cell-element>
# type: string
# elements: 1
# length: 108
For a sample X, compute the quantiles, Y, corresponding to the cumulative probability values, P, in percent.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
kendall
# name: <cell-element>
# type: string
# elements: 1
# length: 859
 -- Function File:  kendall (X, Y)
     Compute Kendall's TAU for each of the variables specified by the input arguments.

     For matrices, each row is an observation and each column a variable; vectors are always observations and may be row or column vectors.

     `kendall (X)' is equivalent to `kendall (X, X)'.

     For two data vectors X, Y of common length N, Kendall's TAU is the correlation of the signs of all rank differences of X and Y;  i.e., if both X and Y have distinct entries, then

                   1
          tau = -------   SUM sign (q(i) - q(j)) * sign (r(i) - r(j))
                n (n-1)   i,j

     in which the Q(I) and R(I)  are the ranks of X and Y, respectively.

     If X and Y are drawn from independent distributions, Kendall's TAU is asymptotically normal with mean 0 and variance `(2 * (2N+5)) / (9 * N * (N-1))'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 81
Compute Kendall's TAU for each of the variables specified by the input arguments.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
center
# name: <cell-element>
# type: string
# elements: 1
# length: 250
 -- Function File:  center (X)
 -- Function File:  center (X, DIM)
     If X is a vector, subtract its mean.  If X is a matrix, do the above for each column.  If the optional argument DIM is given, perform the above operation along this dimension
   
# name: <cell-element>
# type: string
# elements: 1
# length: 36
If X is a vector, subtract its mean.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
iqr
# name: <cell-element>
# type: string
# elements: 1
# length: 319
 -- Function File:  iqr (X, DIM)
     If X is a vector, return the interquartile range, i.e., the difference between the upper and lower quartile, of the input data.

     If X is a matrix, do the above for first non-singleton dimension of X.  If the option DIM argument is given, then operate along this dimension.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 52
If X is a vector, return the interquartile range, i.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
statistics
# name: <cell-element>
# type: string
# elements: 1
# length: 312
 -- Function File:  statistics (X)
     If X is a matrix, return a matrix with the minimum, first quartile, median, third quartile, maximum, mean, standard deviation, skewness and kurtosis of the columns of X as its columns.

     If X is a vector, calculate the statistics along the non-singleton dimension.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 184
If X is a matrix, return a matrix with the minimum, first quartile, median, third quartile, maximum, mean, standard deviation, skewness and kurtosis of the columns of X as its columns.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
meansq
# name: <cell-element>
# type: string
# elements: 1
# length: 315
 -- Function File:  meansq (X)
 -- Function File:  meansq (X, DIM)
     For vector arguments, return the mean square of the values.  For matrix arguments, return a row vector containing the mean square of each column.  With the optional DIM argument, returns the mean squared of the values along this dimension.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 59
For vector arguments, return the mean square of the values.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
mahalanobis
# name: <cell-element>
# type: string
# elements: 1
# length: 244
 -- Function File:  mahalanobis (X, Y)
     Return the Mahalanobis' D-square distance between the multivariate samples X and Y, which must have the same number of components (columns), but may have a different number of observations (rows).
   
# name: <cell-element>
# type: string
# elements: 1
# length: 196
Return the Mahalanobis' D-square distance between the multivariate samples X and Y, which must have the same number of components (columns), but may have a different number of observations (rows).

# name: <cell-element>
# type: string
# elements: 1
# length: 7
cloglog
# name: <cell-element>
# type: string
# elements: 1
# length: 138
 -- Function File:  cloglog (X)
     Return the complementary log-log function of X, defined as

          cloglog(x) = - log (- log (X))

# name: <cell-element>
# type: string
# elements: 1
# length: 59
Return the complementary log-log function of X, defined as 

# name: <cell-element>
# type: string
# elements: 1
# length: 8
quantile
# name: <cell-element>
# type: string
# elements: 1
# length: 2540
 -- Function File: Q = quantile (X, P)
 -- Function File: Q = quantile (X, P, DIM)
 -- Function File: Q = quantile (X, P, DIM, METHOD)
     For a sample, X, calculate the quantiles, Q, corresponding to the cumulative probability values in P.  All non-numeric values (NaNs) of X are ignored.

     If X is a matrix, compute the quantiles for each column and return them in a matrix, such that the i-th row of Q contains the P(i)th quantiles of each column of X.

     The optional argument DIM determines the dimension along which the percentiles are calculated.  If DIM is omitted, and X is a vector or matrix, it defaults to 1 (column wise quantiles).  In the instance that X is a N-d array, DIM defaults to the first dimension whose size greater than unity.

     The methods available to calculate sample quantiles are the nine methods used by R (http://www.r-project.org/).  The default value is METHOD = 5.

     Discontinuous sample quantile methods 1, 2, and 3

       1. Method 1: Inverse of empirical distribution function.

       2. Method 2: Similar to method 1 but with averaging at discontinuities.

       3. Method 3: SAS definition: nearest even order statistic.

     Continuous sample quantile methods 4 through 9, where p(k) is the linear interpolation function respecting each methods' representative cdf.

       4. Method 4: p(k) = k / n. That is, linear interpolation of the empirical cdf.

       5. Method 5: p(k) = (k - 0.5) / n. That is a piecewise linear function where the knots are the values midway through the steps of the empirical cdf.

       6. Method 6: p(k) = k / (n + 1).

       7. Method 7: p(k) = (k - 1) / (n - 1).

       8. Method 8: p(k) = (k - 1/3) / (n + 1/3).  The resulting quantile estimates are approximately median-unbiased regardless of the distribution of X.

       9. Method 9: p(k) = (k - 3/8) / (n + 1/4).  The resulting quantile estimates are approximately unbiased for the expected order statistics if X is normally distributed.

     Hyndman and Fan (1996) recommend method 8.  Maxima, S, and R (versions prior to 2.0.0) use 7 as their default.  Minitab and SPSS use method 6.  MATLAB uses method 5.

     References:

        * Becker, R. A., Chambers, J. M. and Wilks, A. R. (1988) The New S Language.  Wadsworth & Brooks/Cole.

        * Hyndman, R. J. and Fan, Y. (1996) Sample quantiles in statistical packages, American Statistician, 50, 361-365.

        * R: A Language and Environment for Statistical Computing; `http://cran.r-project.org/doc/manuals/fullrefman.pdf'.

# name: <cell-element>
# type: string
# elements: 1
# length: 101
For a sample, X, calculate the quantiles, Q, corresponding to the cumulative probability values in P.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
moment
# name: <cell-element>
# type: string
# elements: 1
# length: 530
 -- Function File:  moment (X, P, OPT, DIM)
     If X is a vector, compute the P-th moment of X.

     If X is a matrix, return the row vector containing the P-th moment of each column.

     With the optional string opt, the kind of moment to be computed can be specified.  If opt contains `"c"' or `"a"', central and/or absolute moments are returned.  For example,

          moment (x, 3, "ac")

     computes the third central absolute moment of X.

     If the optional argument DIM is supplied, work along dimension DIM.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 47
If X is a vector, compute the P-th moment of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
corrcoef
# name: <cell-element>
# type: string
# elements: 1
# length: 376
 -- Function File:  corrcoef (X, Y)
     Compute correlation.

     If each row of X and Y is an observation and each column is a variable, the (I, J)-th entry of `corrcoef (X, Y)' is the correlation between the I-th variable in X and the J-th variable in Y.

          corrcoef(x,y) = cov(x,y)/(std(x)*std(y))

     If called with one argument, compute `corrcoef (X, X)'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 20
Compute correlation.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
logit
# name: <cell-element>
# type: string
# elements: 1
# length: 130
 -- Function File:  logit (P)
     For each component of P, return the logit of P defined as
          logit(P) = log (P / (1-P))

# name: <cell-element>
# type: string
# elements: 1
# length: 86
For each component of P, return the logit of P defined as  logit(P) = log (P / (1-P)) 

# name: <cell-element>
# type: string
# elements: 1
# length: 3
cor
# name: <cell-element>
# type: string
# elements: 1
# length: 484
 -- Function File:  cor (X, Y)
     Compute correlation.

     The (I, J)-th entry of `cor (X, Y)' is the correlation between the I-th variable in X and the J-th variable in Y.

          corrcoef(x,y) = cov(x,y)/(std(x)*std(y))

     For matrices, each row is an observation and each column a variable; vectors are always observations and may be row or column vectors.

     `cor (X)' is equivalent to `cor (X, X)'.

     Note that the `corrcoef' function does the same as `cor'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 20
Compute correlation.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
kurtosis
# name: <cell-element>
# type: string
# elements: 1
# length: 354
 -- Function File:  kurtosis (X, DIM)
     If X is a vector of length N, return the kurtosis

          kurtosis (x) = N^(-1) std(x)^(-4) sum ((x - mean(x)).^4) - 3

     of X.  If X is a matrix, return the kurtosis over the first non-singleton dimension.  The optional argument DIM can be given to force the kurtosis to be given over that dimension.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 50
If X is a vector of length N, return the kurtosis 

# name: <cell-element>
# type: string
# elements: 1
# length: 3
cut
# name: <cell-element>
# type: string
# elements: 1
# length: 519
 -- Function File:  cut (X, BREAKS)
     Create categorical data out of numerical or continuous data by cutting into intervals.

     If BREAKS is a scalar, the data is cut into that many equal-width intervals.  If BREAKS is a vector of break points, the category has `length (BREAKS) - 1' groups.

     The returned value is a vector of the same size as X telling which group each point in X belongs to.  Groups are labelled from 1 to the number of groups; points outside the range of BREAKS are labelled by `NaN'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 86
Create categorical data out of numerical or continuous data by cutting into intervals.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
gls
# name: <cell-element>
# type: string
# elements: 1
# length: 582
 -- Function File: [BETA, V, R] = gls (Y, X, O)
     Generalized least squares estimation for the multivariate model y = x b + e with mean (e) = 0 and cov (vec (e)) = (s^2) o,  where y is a t by p matrix, x is a t by k matrix, b is a k by p matrix, e is a t by p matrix, and o is a t p by t p matrix.

     Each row of Y and X is an observation and each column a variable.  The return values BETA, V, and R are defined as follows.

    BETA
          The GLS estimator for b.

    V
          The GLS estimator for s^2.

    R
          The matrix of GLS residuals, r = y - x beta.

# name: <cell-element>
# type: string
# elements: 1
# length: 246
Generalized least squares estimation for the multivariate model y = x b + e with mean (e) = 0 and cov (vec (e)) = (s^2) o, where y is a t by p matrix, x is a t by k matrix, b is a k by p matrix, e is a t by p matrix, and o is a t p by t p matrix.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
run_count
# name: <cell-element>
# type: string
# elements: 1
# length: 237
 -- Function File:  run_count (X, N)
     Count the upward runs along the first non-singleton dimension of X of length 1, 2, ..., N-1 and greater than or equal to N.  If the optional argument DIM is given operate along this dimension
   
# name: <cell-element>
# type: string
# elements: 1
# length: 84
Count the upward runs along the first non-singleton dimension of X of length 1, 2, .

# name: <cell-element>
# type: string
# elements: 1
# length: 4
mean
# name: <cell-element>
# type: string
# elements: 1
# length: 688
 -- Function File:  mean (X, DIM, OPT)
     If X is a vector, compute the mean of the elements of X

          mean (x) = SUM_i x(i) / N
     If X is a matrix, compute the mean for each column and return them in a row vector.

     With the optional argument OPT, the kind of mean computed can be selected.  The following options are recognized:

    `"a"'
          Compute the (ordinary) arithmetic mean.  This is the default.

    `"g"'
          Compute the geometric mean.

    `"h"'
          Compute the harmonic mean.

     If the optional argument DIM is supplied, work along dimension DIM.

     Both DIM and OPT are optional.  If both are supplied, either may appear first.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 56
If X is a vector, compute the mean of the elements of X 

# name: <cell-element>
# type: string
# elements: 1
# length: 9
griddatan
# name: <cell-element>
# type: string
# elements: 1
# length: 360
 -- Function File: YI = griddatan (X, Y, XI, METHOD, OPTIONS)
     Generate a regular mesh from irregular data using interpolation.  The function is defined by `Y = f (X)'.  The interpolation points are all XI.

     The interpolation method can be `"nearest"' or `"linear"'.  If method is omitted it defaults to `"linear"'.  See also: griddata, delaunayn.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 64
Generate a regular mesh from irregular data using interpolation.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
delaunay3
# name: <cell-element>
# type: string
# elements: 1
# length: 481
 -- Function File: T = delaunay3 (X, Y, Z)
 -- Function File: T = delaunay3 (X, Y, Z, OPT)
     A matrix of size [n, 4] is returned.  Each row contains a set of tetrahedron which are described by the indices to the data point vectors (x,y,z).

     A fourth optional argument, which must be a string or cell array of strings, contains extra options passed to the underlying qhull command.  See the documentation for the Qhull library for details.  See also: delaunay,delaunayn.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 36
A matrix of size [n, 4] is returned.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
griddata3
# name: <cell-element>
# type: string
# elements: 1
# length: 377
 -- Function File: VI = griddata3 (X, Y, Z, V XI, YI, ZI, METHOD, OPTIONS)
     Generate a regular mesh from irregular data using interpolation.  The function is defined by `Y = f (X,Y,Z)'.  The interpolation points are all XI.

     The interpolation method can be `"nearest"' or `"linear"'.  If method is omitted it defaults to `"linear"'.  See also: griddata, delaunayn.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 64
Generate a regular mesh from irregular data using interpolation.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
trisurf
# name: <cell-element>
# type: string
# elements: 1
# length: 360
 -- Function File:  trisurf (TRI, X, Y, Z)
 -- Function File: H = trisurf (...)
     Plot a triangular surface in 3D.  The variable TRI is the triangular meshing of the points `(X, Y)' which is returned from `delaunay'.  The variable Z is value at the point `(X, Y)'.  The output argument H is the graphic handle to the plot.  See also: triplot, delaunay3.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 32
Plot a triangular surface in 3D.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
rectint
# name: <cell-element>
# type: string
# elements: 1
# length: 436
 -- Function File: AREA = rectint (A, B)
     Compute the area of intersection of rectangles in A and rectangles in B.  Rectangles are defined as [x y width height] where x and y are the minimum values of the two orthogonal dimensions.

     If A or B are matrices, then the output, AREA, is a matrix where the i-th row corresponds to the i-th row of a and the j-th column corresponds to the j-th row of b.

     See also: polyarea.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 72
Compute the area of intersection of rectangles in A and rectangles in B.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
voronoi
# name: <cell-element>
# type: string
# elements: 1
# length: 878
 -- Function File:  voronoi (X, Y)
 -- Function File:  voronoi (X, Y, "plotstyle")
 -- Function File:  voronoi (X, Y, "plotstyle", OPTIONS)
 -- Function File: [VX, VY] = voronoi (...)
     plots voronoi diagram of points `(X, Y)'.  The voronoi facets with points at infinity are not drawn.  [VX, VY] = voronoi(...) returns the vertices instead of plotting the diagram. plot (VX, VY) shows the voronoi diagram.

     A fourth optional argument, which must be a string, contains extra options passed to the underlying qhull command.  See the documentation for the Qhull library for details.

            x = rand (10, 1);
            y = rand (size (x));
            h = convhull (x, y);
            [vx, vy] = voronoi (x, y);
            plot (vx, vy, "-b", x, y, "o", x(h), y(h), "-g")
            legend ("", "points", "hull");

     See also: voronoin, delaunay, convhull.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 41
plots voronoi diagram of points `(X, Y)'.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
dsearch
# name: <cell-element>
# type: string
# elements: 1
# length: 293
 -- Function File: IDX = dsearch (X, Y, TRI, XI, YI)
 -- Function File: IDX = dsearch (X, Y, TRI, XI, YI, S)
     Returns the index IDX or the closest point in `X, Y' to the elements `[XI(:), YI(:)]'.  The variable S is accepted but ignored for compatibility.  See also: dsearchn, tsearch.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 86
Returns the index IDX or the closest point in `X, Y' to the elements `[XI(:), YI(:)]'.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
delaunayn
# name: <cell-element>
# type: string
# elements: 1
# length: 1199
 -- Function File: T = delaunayn (P)
 -- Function File: T = delaunayn (P, OPT)
     Form the Delaunay triangulation for a set of points.  The Delaunay triangulation is a tessellation of the convex hull of the points such that no n-sphere defined by the n-triangles contains any other points from the set.  The input matrix P of size `[n, dim]' contains N points in a space of dimension dim.  The return matrix T has the size `[m, dim+1]'.  It contains for each row a set of indices to the points, which describes a simplex of dimension dim.  For example, a 2d simplex is a triangle and 3d simplex is a tetrahedron.

     Extra options for the underlying Qhull command can be specified by the second argument.  This argument is a cell array of strings.  The default options depend on the dimension of the input:

        * 2D and 3D: OPT = `{"Qt", "Qbb", "Qc"}'

        * 4D and higher: OPT = `{"Qt", "Qbb", "Qc", "Qz"}'

     If OPT is [], then the default arguments are used.  If OPT is `{""}', then none of the default arguments are used by Qhull.  See the Qhull documentation for the available options.

     All options can also be specified as single string, for example `"Qt Qbb Qc Qz"'.

   
# name: <cell-element>
# type: string
# elements: 1
# length: 52
Form the Delaunay triangulation for a set of points.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
tsearchn
# name: <cell-element>
# type: string
# elements: 1
# length: 357
 -- Function File: [IDX, P] = tsearchn (X, T, XI)
     Searches for the enclosing Delaunay convex hull.  For `T = delaunayn (X)', finds the index in T containing the points XI.  For points outside the convex hull, IDX is NaN.  If requested `tsearchn' also returns the Barycentric coordinates P of the enclosing triangles.  See also: delaunay, delaunayn.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 48
Searches for the enclosing Delaunay convex hull.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
convhull
# name: <cell-element>
# type: string
# elements: 1
# length: 428
 -- Function File: H = convhull (X, Y)
 -- Function File: H = convhull (X, Y, OPT)
     Returns the index vector to the points of the enclosing convex hull.  The data points are defined by the x and y vectors.

     A third optional argument, which must be a string, contains extra options passed to the underlying qhull command.  See the documentation for the Qhull library for details.

     See also: delaunay, convhulln.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 68
Returns the index vector to the points of the enclosing convex hull.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
voronoin
# name: <cell-element>
# type: string
# elements: 1
# length: 555
 -- Function File: [C, F] = voronoin (PTS)
 -- Function File: [C, F] = voronoin (PTS, OPTIONS)
     computes n- dimensional voronoi facets.  The input matrix PTS of size [n, dim] contains n points of dimension dim.  C contains the points of the voronoi facets.  The list F contains for each facet the indices of the voronoi points.

     A second optional argument, which must be a string, contains extra options passed to the underlying qhull command.  See the documentation for the Qhull library for details.  See also: voronoin, delaunay, convhull.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 39
computes n- dimensional voronoi facets.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
inpolygon
# name: <cell-element>
# type: string
# elements: 1
# length: 293
 -- Function File: [IN, ON] = inpolygon (X, Y, XV, XY)
     For a polygon defined by `(XV, YV)' points, determine if the points `(X, Y)' are inside or outside the polygon.  The variables X, Y, must have the same dimension.  The optional output ON gives the points that are on the polygon.

   
# name: <cell-element>
# type: string
# elements: 1
# length: 111
For a polygon defined by `(XV, YV)' points, determine if the points `(X, Y)' are inside or outside the polygon.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
griddata
# name: <cell-element>
# type: string
# elements: 1
# length: 495
 -- Function File: ZI = griddata (X, Y, Z, XI, YI, METHOD)
 -- Function File: [XI, YI, ZI] = griddata (X, Y, Z, XI, YI, METHOD)
     Generate a regular mesh from irregular data using interpolation.  The function is defined by `Z = f (X, Y)'.  The interpolation points are all `(XI, YI)'.  If XI, YI are vectors then they are made into a 2D mesh.

     The interpolation method can be `"nearest"', `"cubic"' or `"linear"'.  If method is omitted it defaults to `"linear"'.  See also: delaunay.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 64
Generate a regular mesh from irregular data using interpolation.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
trimesh
# name: <cell-element>
# type: string
# elements: 1
# length: 357
 -- Function File:  trimesh (TRI, X, Y, Z)
 -- Function File: H = trimesh (...)
     Plot a triangular mesh in 3D.  The variable TRI is the triangular meshing of the points `(X, Y)' which is returned from `delaunay'.  The variable Z is value at the point `(X, Y)'.  The output argument H is the graphic handle to the plot.  See also: triplot, delaunay3.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 29
Plot a triangular mesh in 3D.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
dsearchn
# name: <cell-element>
# type: string
# elements: 1
# length: 465
 -- Function File: IDX = dsearchn (X, TRI, XI)
 -- Function File: IDX = dsearchn (X, TRI, XI, OUTVAL)
 -- Function File: IDX = dsearchn (X, XI)
 -- Function File: [IDX, D] = dsearchn (...)
     Returns the index IDX or the closest point in X to the elements XI.  If OUTVAL is supplied, then the values of XI that are not contained within one of the simplicies TRI are set to OUTVAL.  Generally, TRI is returned from `delaunayn (X)'.  See also: dsearch, tsearch.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 67
Returns the index IDX or the closest point in X to the elements XI.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
triplot
# name: <cell-element>
# type: string
# elements: 1
# length: 433
 -- Function File:  triplot (TRI, X, Y)
 -- Function File:  triplot (TRI, X, Y, LINESPEC)
 -- Function File: H = triplot (...)
     Plot a triangular mesh in 2D.  The variable TRI is the triangular meshing of the points `(X, Y)' which is returned from `delaunay'.  If given, the LINESPEC determines the properties to use for the lines.  The output argument H is the graphic handle to the plot.  See also: plot, trimesh, delaunay.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 29
Plot a triangular mesh in 2D.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
delaunay
# name: <cell-element>
# type: string
# elements: 1
# length: 863
 -- Function File: TRI = delaunay (X, Y)
 -- Function File: TRI = delaunay (X, Y, OPT)
     The return matrix of size [n, 3] contains a set triangles which are described by the indices to the data point x and y vector.  The triangulation satisfies the Delaunay circum-circle criterion.  No other data point is in the circum-circle of the defining triangle.

     A third optional argument, which must be a string, contains extra options passed to the underlying qhull command.  See the documentation for the Qhull library for details.

          x = rand (1, 10);
          y = rand (size (x));
          T = delaunay (x, y);
          X = [x(T(:,1)); x(T(:,2)); x(T(:,3)); x(T(:,1))];
          Y = [y(T(:,1)); y(T(:,2)); y(T(:,3)); y(T(:,1))];
          axis ([0,1,0,1]);
          plot (X, Y, "b", x, y, "r*");
     See also: voronoi, delaunay3, delaunayn.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 126
The return matrix of size [n, 3] contains a set triangles which are described by the indices to the data point x and y vector.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
isonormals
# name: <cell-element>
# type: string
# elements: 1
# length: 3208
 -- Function File: [N] = isonormals (VAL, V)
 -- Function File: [N] = isonormals (VAL, P)
 -- Function File: [N] = isonormals (X, Y, Z, VAL, V)
 -- Function File: [N] = isonormals (X, Y, Z, VAL, P)
 -- Function File: [N] = isonormals (..., "negate")
 -- Function File: isonormals (..., P)
     If called with one output argument and the first input argument VAL is a three-dimensional array that contains the data for an isosurface geometry and the second input argument V keeps the vertices of an isosurface then return the normals N in form of a matrix with the same size than V at computed points `[x, y, z] = meshgrid (1:l, 1:m, 1:n)'.  The output argument N can be taken to manually set VERTEXNORMALS of a patch.

     If called with further input arguments X, Y and Z which are three-dimensional arrays with the same size than VAL then the volume data is taken at those given points.  Instead of the vertices data V a patch handle P can be passed to this function.

     If given the string input argument "negate" as last input argument then compute the reverse vector normals of an isosurface geometry.

     If no output argument is given then directly redraw the patch that is given by the patch handle P.

     For example,
          function [] = isofinish (p)
            set (gca, "DataAspectRatioMode","manual","DataAspectRatio",[1 1 1]);
            set (p, "VertexNormals", -get(p,"VertexNormals")); ## Revert normals
            set (p, "FaceColor", "interp");
            ## set (p, "FaceLighting", "phong");
            ## light ("Position", [1 1 5]); ## Available with JHandles
          endfunction

          N = 15;    ## Increase number of vertices in each direction
          iso = .4;  ## Change isovalue to .1 to display a sphere
          lin = linspace (0, 2, N);
          [x, y, z] = meshgrid (lin, lin, lin);
          c = abs ((x-.5).^2 + (y-.5).^2 + (z-.5).^2);
          figure (); ## Open another figure window

          subplot (2, 2, 1); view (-38, 20);
          [f, v, cdat] = isosurface (x, y, z, c, iso, y);
          p = patch ("Faces", f, "Vertices", v, "FaceVertexCData", cdat, \
          	   "FaceColor", "interp", "EdgeColor", "none");
          isofinish (p); ## Call user function isofinish

          subplot (2, 2, 2); view (-38, 20);
          p = patch ("Faces", f, "Vertices", v, "FaceVertexCData", cdat, \
          	   "FaceColor", "interp", "EdgeColor", "none");
          isonormals (x, y, z, c, p); ## Directly modify patch
          isofinish (p);

          subplot (2, 2, 3); view (-38, 20);
          p = patch ("Faces", f, "Vertices", v, "FaceVertexCData", cdat, \
          	   "FaceColor", "interp", "EdgeColor", "none");
          n = isonormals (x, y, z, c, v); ## Compute normals of isosurface
          set (p, "VertexNormals", n);    ## Manually set vertex normals
          isofinish (p);

          subplot (2, 2, 4); view (-38, 20);
          p = patch ("Faces", f, "Vertices", v, "FaceVertexCData", cdat, \
          	   "FaceColor", "interp", "EdgeColor", "none");
          isonormals (x, y, z, c, v, "negate"); ## Use reverse directly
          isofinish (p);

     See also: isosurface, isocolors, isocaps, marching_cube.

   
# name: <cell-element>
# type: string
# elements: 1
# length: 345
If called with one output argument and the first input argument VAL is a three-dimensional array that contains the data for an isosurface geometry and the second input argument V keeps the vertices of an isosurface then return the normals N in form of a matrix with the same size than V at computed points `[x, y, z] = meshgrid (1:l, 1:m, 1:n)'.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
grid
# name: <cell-element>
# type: string
# elements: 1
# length: 569
 -- Function File:  grid (ARG)
 -- Function File:  grid ("minor", ARG2)
 -- Function File:  grid (HAX, ...)
     Force the display of a grid on the plot.  The argument may be either `"on"', or `"off"'.  If it is omitted, the current grid state is toggled.

     If ARG is `"minor"' then the minor grid is toggled.  When using a minor grid a second argument ARG2 is allowed, which can be either `"on"' or `"off"' to explicitly set the state of the minor grid.

     If the first argument is an axis handle, HAX, operate on the specified axis object.  See also: plot.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 40
Force the display of a grid on the plot.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
semilogx
# name: <cell-element>
# type: string
# elements: 1
# length: 239
 -- Function File:  semilogx (ARGS)
     Produce a two-dimensional plot using a log scale for the X axis.  See the description of `plot' for a description of the arguments that `semilogx' will accept.  See also: plot, semilogy, loglog.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 64
Produce a two-dimensional plot using a log scale for the X axis.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
surface
# name: <cell-element>
# type: string
# elements: 1
# length: 765
 -- Function File:  surface (X, Y, Z, C)
 -- Function File:  surface (X, Y, Z)
 -- Function File:  surface (Z, C)
 -- Function File:  surface (Z)
 -- Function File:  surface (..., PROP, VAL)
 -- Function File:  surface (H, ...)
 -- Function File: H = surface (...)
     Plot a surface graphic object given matrices X, and Y from `meshgrid' and a matrix Z corresponding to the X and Y coordinates of the surface.  If X and Y are vectors, then a typical vertex is (X(j), Y(i), Z(i,j)).  Thus, columns of Z correspond to different X values and rows of Z correspond to different Y values.  If X and Y are missing, they are constructed from size of the matrix Z.

     Any additional properties passed are assigned to the surface.  See also: surf, mesh, patch, line.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 141
Plot a surface graphic object given matrices X, and Y from `meshgrid' and a matrix Z corresponding to the X and Y coordinates of the surface.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
title
# name: <cell-element>
# type: string
# elements: 1
# length: 138
 -- Function File:  title (TITLE)
 -- Function File:  title (TITLE, P1, V1, ...)
     Create a title object and return a handle to it.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 48
Create a title object and return a handle to it.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
ellipsoid
# name: <cell-element>
# type: string
# elements: 1
# length: 380
 -- Function File: [X, Y, Z] = ellipsoid (XC,YC, ZC, XR, YR, ZR, N)
 -- Function File:  ellipsoid (H, ...)
     Generate three matrices in `meshgrid' format that define an ellipsoid.  Called with no return arguments, `ellipsoid' calls directly `surf (X, Y, Z)'.  If an axes handle is passed as the first argument, the surface is plotted to this set of axes.  See also: sphere.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 70
Generate three matrices in `meshgrid' format that define an ellipsoid.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
isfigure
# name: <cell-element>
# type: string
# elements: 1
# length: 130
 -- Function File:  isfigure (H)
     Return true if H is a graphics handle that contains a figure object and false otherwise.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 88
Return true if H is a graphics handle that contains a figure object and false otherwise.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
findobj
# name: <cell-element>
# type: string
# elements: 1
# length: 1576
 -- Function File: H = findobj ()
 -- Function File: H = findobj (PROP_NAME, PROP_VALUE)
 -- Function File: H = findobj ('-property', PROP_NAME)
 -- Function File: H = findobj ('-regexp', PROP_NAME, PATTERN)
 -- Function File: H = findobj ('flat', ...)
 -- Function File: H = findobj (H, ...)
 -- Function File: H = findobj (H, '-depth', D, ...)
     Find object with specified property values.  The simplest form is

          findobj (PROP_NAME, PROP_VALUE)

     which returns all of the handles to the objects with the name PROP_NAME and the name PROP_VALUE.  The search can be limited to a particular object or set of objects and their descendants by passing a handle or set of handles H as the first argument to `findobj'.

     The depth of hierarchy of objects to which to search to can be limited with the '-depth' argument.  To limit the number depth of the hierarchy to search to D generations of children, and example is

          findobj (H, '-depth', D, PROP_NAME, PROP_VALUE)

     Specifying a depth D of 0, limits the search to the set of object passed in H.  A depth D of 0 is equivalent to the '-flat' argument.

     A specified logical operator may be applied to the pairs of PROP_NAME and PROP_VALUE.  The supported logical operators are '-and', '-or', '-xor', '-not'.

     The objects may also be matched by comparing a regular expression to the property values, where property values that match `regexp (PROP_VALUE, PATTERN)' are returned.  Finally, objects may be matched by property name only, using the '-property' option.  See also: get, set.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 43
Find object with specified property values.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
loglogerr
# name: <cell-element>
# type: string
# elements: 1
# length: 479
 -- Function File:  loglogerr (ARGS)
     Produce two-dimensional plots on double logarithm axis with errorbars.  Many different combinations of arguments are possible.  The most used form is

          loglogerr (X, Y, EY, FMT)

     which produces a double logarithm plot of Y versus X with errors in the Y-scale defined by EY and the plot format defined by FMT.  See errorbar for available formats and additional information.  See also: errorbar, semilogxerr, semilogyerr.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 70
Produce two-dimensional plots on double logarithm axis with errorbars.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
gcbo
# name: <cell-element>
# type: string
# elements: 1
# length: 514
 -- Function File: H = gcbo ()
 -- Function File: [H, FIG] = gcbo ()
     Return a handle to the object whose callback is currently executing.  If no callback is executing, this function returns the empty matrix.  This handle is obtained from the root object property "CallbackObject".

     Additionally return the handle of the figure containing the object whose callback is currently executing.  If no callback is executing, the second output is also set to the empty matrix.

     See also: gcf, gca, gcbf.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 68
Return a handle to the object whose callback is currently executing.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
stem
# name: <cell-element>
# type: string
# elements: 1
# length: 1419
 -- Function File: H = stem (X, Y, LINESPEC)
 -- Function File: H = stem (..., "filled")
     Plot a stem graph from two vectors of x-y data.  If only one argument is given, it is taken as the y-values and the x coordinates are taken from the indices of the elements.

     If Y is a matrix, then each column of the matrix is plotted as a separate stem graph.  In this case X can either be a vector, the same length as the number of rows in Y, or it can be a matrix of the same size as Y.

     The default color is `"r"' (red).  The default line style is `"-"' and the default marker is `"o"'.  The line style can be altered by the `linespec' argument in the same manner as the `plot' command.  For example

          x = 1:10;
          y = ones (1, length (x))*2.*x;
          stem (x, y, "b");

     plots 10 stems with heights from 2 to 20 in blue;

     The return value of `stem' is a vector if "stem series" graphics handles, with one handle per column of the variable Y.  This handle regroups the elements of the stem graph together as the children of the "stem series" handle, allowing them to be altered together.  For example

          x = [0 : 10].';
          y = [sin(x), cos(x)]
          h = stem (x, y);
          set (h(2), "color", "g");
          set (h(1), "basevalue", -1)

     changes the color of the second "stem series"  and moves the base line of the first.  See also: bar, barh, plot.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 47
Plot a stem graph from two vectors of x-y data.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
ezplot
# name: <cell-element>
# type: string
# elements: 1
# length: 1395
 -- Function File:  ezplot (F)
 -- Function File:  ezplot (FX, FY)
 -- Function File:  ezplot (..., DOM)
 -- Function File:  ezplot (..., N)
 -- Function File:  ezplot (H, ...)
 -- Function File: H = ezplot (...)
     Plots in two-dimensions the curve defined by F.  The function F may be a string, inline function or function handle and can have either one or two variables.  If F has one variable, then the function is plotted over the domain `-2*pi < X < 2*pi' with 500 points.

     If F has two variables then `F(X,Y) = 0' is calculated over the meshed domain `-2*pi < X | Y < 2*pi' with 60 by 60 in the mesh.  For example

          ezplot (@(X, Y) X .^ 2 - Y .^ 2 - 1)

     If two functions are passed as strings, inline functions or function handles, then the parametric function

          X = FX (T)
          Y = FY (T)

     is plotted over the domain `-2*pi < T < 2*pi' with 500 points.

     If DOM is a two element vector, it represents the minimum and maximum value of X, Y and T.  If it is a four element vector, then the minimum and maximum values of X and T are determined by the first two elements and the minimum and maximum of Y by the second pair of elements.

     N is a scalar defining the number of points to use in plotting the function.

     The optional return value H provides a list of handles to the the line objects plotted.

     See also: plot, ezplot3.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 47
Plots in two-dimensions the curve defined by F.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
ezcontourf
# name: <cell-element>
# type: string
# elements: 1
# length: 1013
 -- Function File:  ezcontourf (F)
 -- Function File:  ezcontourf (..., DOM)
 -- Function File:  ezcontourf (..., N)
 -- Function File:  ezcontourf (H, ...)
 -- Function File: H = ezcontourf (...)
     Plots the filled contour lines of a function.  F is a string, inline function or function handle with two arguments defining the function.  By default the plot is over the domain `-2*pi < X < 2*pi' and `-2*pi < Y < 2*pi' with 60 points in each dimension.

     If DOM is a two element vector, it represents the minimum and maximum value of both X and Y.  If DOM is a four element vector, then the minimum and maximum value of X and Y are specify separately.

     N is a scalar defining the number of points to use in each dimension.

     The optional return value H provides a list of handles to the the parts of the vector field (body, arrow and marker).

          f = @(x,y) sqrt(abs(x .* y)) ./ (1 + x.^2 + y.^2);
          ezcontourf (f, [-3, 3]);

     See also: ezplot, ezcontour, ezsurfc, ezmeshc.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 45
Plots the filled contour lines of a function.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
ezcontour
# name: <cell-element>
# type: string
# elements: 1
# length: 1001
 -- Function File:  ezcontour (F)
 -- Function File:  ezcontour (..., DOM)
 -- Function File:  ezcontour (..., N)
 -- Function File:  ezcontour (H, ...)
 -- Function File: H = ezcontour (...)
     Plots the contour lines of a function.  F is a string, inline function or function handle with two arguments defining the function.  By default the plot is over the domain `-2*pi < X < 2*pi' and `-2*pi < Y < 2*pi' with 60 points in each dimension.

     If DOM is a two element vector, it represents the minimum and maximum value of both X and Y.  If DOM is a four element vector, then the minimum and maximum value of X and Y are specify separately.

     N is a scalar defining the number of points to use in each dimension.

     The optional return value H provides a list of handles to the the parts of the vector field (body, arrow and marker).

          f = @(x,y) sqrt(abs(x .* y)) ./ (1 + x.^2 + y.^2);
          ezcontour (f, [-3, 3]);

     See also: ezplot, ezcontourf, ezsurfc, ezmeshc.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 38
Plots the contour lines of a function.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
orient
# name: <cell-element>
# type: string
# elements: 1
# length: 361
 -- Function File:  orient (ORIENTATION)
     Set the default print orientation.  Valid values for ORIENTATION include `"landscape"', `"portrait"', and `"tall"'.

     The `"tall"' option sets the orientation to portait and fills the page with the plot, while leaving a 0.25in border.

     If called with no arguments, return the default print orientation.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
Set the default print orientation.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
ginput
# name: <cell-element>
# type: string
# elements: 1
# length: 281
 -- Function File: [X, Y, BUTTONS] = ginput (N)
     Return which mouse buttons were pressed and keys were hit on the current figure.  If N is defined, then wait for N mouse clicks before returning.  If N is not defined, then `ginput' will loop until the return key is pressed.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 80
Return which mouse buttons were pressed and keys were hit on the current figure.

# name: <cell-element>
# type: string
# elements: 1
# length: 14
gnuplot_binary
# name: <cell-element>
# type: string
# elements: 1
# length: 236
 -- Loadable Function: VAL = gnuplot_binary ()
 -- Loadable Function: OLD_VAL = gnuplot_binary (NEW_VAL)
     Query or set the name of the program invoked by the plot command.  The default value `\"gnuplot\"'.  *Note Installation::.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 65
Query or set the name of the program invoked by the plot command.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
barh
# name: <cell-element>
# type: string
# elements: 1
# length: 1088
 -- Function File:  barh (X, Y)
 -- Function File:  barh (Y)
 -- Function File:  barh (X, Y, W)
 -- Function File:  barh (X, Y, W, STYLE)
 -- Function File: H = barh (..., PROP, VAL)
 -- Function File:  barh (H, ...)
     Produce a horizontal bar graph from two vectors of x-y data.

     If only one argument is given, it is taken as a vector of y-values and the x coordinates are taken to be the indices of the elements.

     The default width of 0.8 for the bars can be changed using W.

     If Y is a matrix, then each column of Y is taken to be a separate bar graph plotted on the same graph.  By default the columns are plotted side-by-side.  This behavior can be changed by the STYLE argument, which can take the values `"grouped"' (the default), or `"stacked"'.

     The optional return value H provides a handle to the bar series object.  See `bar' for a description of the use of the bar series.

     The optional input handle H allows an axis handle to be passed.  Properties of the patch graphics object can be changed using PROP, VAL pairs.

     See also: bar, plot.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 60
Produce a horizontal bar graph from two vectors of x-y data.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
ylim
# name: <cell-element>
# type: string
# elements: 1
# length: 771
 -- Function File: XL = ylim ()
 -- Function File:  ylim (XL)
 -- Function File: M = ylim ('mode')
 -- Function File:  ylim (M)
 -- Function File:  ylim (H, ...)
     Get or set the limits of the y-axis of the current plot.  Called without arguments `ylim' returns the y-axis limits of the current plot.  If passed a two element vector XL, the limits of the y-axis are set to this value.

     The current mode for calculation of the y-axis can be returned with a call `ylim ('mode')', and can be either 'auto' or 'manual'.  The current plotting mode can be set by passing either 'auto' or 'manual' as the argument.

     If passed an handle as the first argument, then operate on this handle rather than the current axes handle.  See also: xlim, zlim, set, get, gca.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 56
Get or set the limits of the y-axis of the current plot.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
scatter3
# name: <cell-element>
# type: string
# elements: 1
# length: 1391
 -- Function File:  scatter3 (X, Y, Z, S, C)
 -- Function File:  scatter3 (..., 'filled')
 -- Function File:  scatter3 (..., STYLE)
 -- Function File:  scatter3 (..., PROP, VAL)
 -- Function File:  scatter3 (H, ...)
 -- Function File: H = scatter3 (...)
     Plot a scatter plot of the data in 3D.  A marker is plotted at each point defined by the points in the vectors X, Y and Z.  The size of the markers used is determined by S, which can be a scalar or a vector of the same length of X, Y and Z.  If S is not given or is an empty matrix, then the default value of 8 points is used.

     The color of the markers is determined by C, which can be a string defining a fixed color, a 3 element vector giving the red, green and blue components of the color, a vector of the same length as X that gives a scaled index into the current colormap, or a N-by-3 matrix defining the colors of each of the markers individually.

     The marker to use can be changed with the STYLE argument, that is a string defining a marker in the same manner as the `plot' command.  If the argument 'filled' is given then the markers as filled.  All additional arguments are passed to the underlying patch command.

     The optional return value H provides a handle to the patch object

          [x, y, z] = peaks (20);
          scatter3 (x(:), y(:), z(:), [], z(:));

     See also: plot, patch, scatter.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 38
Plot a scatter plot of the data in 3D.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
patch
# name: <cell-element>
# type: string
# elements: 1
# length: 741
 -- Function File:  patch ()
 -- Function File:  patch (X, Y, C)
 -- Function File:  patch (X, Y, Z, C)
 -- Function File:  patch (FV)
 -- Function File:  patch ('Faces', F, 'Vertices', V, ...)
 -- Function File:  patch (..., PROP, VAL)
 -- Function File:  patch (H, ...)
 -- Function File: H = patch (...)
     Create patch object from X and Y with color C and insert in the current axes object.  Return handle to patch object.

     For a uniform colored patch, C can be given as an RGB vector, scalar value referring to the current colormap, or string value (for example, "r" or "red").

     If passed a structure FV contain the fields "vertices", "faces" and optionally "facevertexcdata", create the patch based on these properties.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 84
Create patch object from X and Y with color C and insert in the current axes object.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
allchild
# name: <cell-element>
# type: string
# elements: 1
# length: 413
 -- Function File: H = allchild (HANDLES)
     Find all children, including hidden children, of a graphics object.

     This function is similar to `get (h, "children")', but also returns includes hidden objects.  If HANDLES is a scalar, H will be a vector.  Otherwise, H will be a cell matrix of the same size as HANDLES and each cell will contain a vector of handles.  See also: get, set, findall, findobj.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 67
Find all children, including hidden children, of a graphics object.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
ezsurf
# name: <cell-element>
# type: string
# elements: 1
# length: 1533
 -- Function File:  ezsurf (F)
 -- Function File:  ezsurf (FX, FY, FZ)
 -- Function File:  ezsurf (..., DOM)
 -- Function File:  ezsurf (..., N)
 -- Function File:  ezsurf (..., 'circ')
 -- Function File:  ezsurf (H, ...)
 -- Function File: H = ezsurf (...)
     Plots the surface defined by a function.  F is a string, inline function or function handle with two arguments defining the function.  By default the plot is over the domain `-2*pi < X < 2*pi' and `-2*pi < Y < 2*pi' with 60 points in each dimension.

     If DOM is a two element vector, it represents the minimum and maximum value of both X and Y.  If DOM is a four element vector, then the minimum and maximum value of X and Y are specify separately.

     N is a scalar defining the number of points to use in each dimension.

     If three functions are passed, then plot the parametrically defined function `[FX (S, T), FY (S, T), FZ (S, T)]'.

     If the argument 'circ' is given, then the function is plotted over a disk centered on the middle of the domain DOM.

     The optional return value H provides a list of handles to the the parts of the vector field (body, arrow and marker).

          f = @(x,y) sqrt(abs(x .* y)) ./ (1 + x.^2 + y.^2);
          ezsurf (f, [-3, 3]);

     An example of a parametrically defined function is

          fx = @(s,t) cos (s) .* cos(t);
          fy = @(s,t) sin (s) .* cos(t);
          fz = @(s,t) sin(t);
          ezsurf (fx, fy, fz, [-pi, pi, -pi/2, pi/2], 20);

     See also: ezplot, ezmesh, ezsurfc, ezmeshc.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 40
Plots the surface defined by a function.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
view
# name: <cell-element>
# type: string
# elements: 1
# length: 183
 -- Function File:  view (AZIMUTH, ELEVATION)
 -- Function File:  view (DIMS)
 -- Function File: [AZIMUTH, ELEVATION] = view ()
     Set or get the viewpoint for the current axes.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 46
Set or get the viewpoint for the current axes.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
findall
# name: <cell-element>
# type: string
# elements: 1
# length: 446
 -- Function File: H = findall ()
 -- Function File: H = findall (PROP_NAME, PROP_VALUE)
 -- Function File: H = findall (H, ...)
 -- Function File: H = findall (H, "-depth", D, ...)
     Find object with specified property values including hidden handles.

     This function performs the same function as `findobj', but it includes hidden objects in its search.  For full documentation, see `findobj'.  See also: get, set, findobj, allchild.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 68
Find object with specified property values including hidden handles.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
gca
# name: <cell-element>
# type: string
# elements: 1
# length: 417
 -- Function File:  gca ()
     Return a handle to the current axis object.  If no axis object exists, create one and return its handle.  The handle may then be used to examine or set properties of the axes.  For example,

          ax = gca ();
          set (ax, "position", [0.5, 0.5, 0.5, 0.5]);

     creates an empty axes object, then changes its location and size in the figure window.  See also: get, set.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 43
Return a handle to the current axis object.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
semilogxerr
# name: <cell-element>
# type: string
# elements: 1
# length: 477
 -- Function File:  semilogxerr (ARGS)
     Produce two-dimensional plots on a semilogarithm axis with errorbars.  Many different combinations of arguments are possible.  The most used form is

          semilogxerr (X, Y, EY, FMT)

     which produces a semi-logarithm plot of Y versus X with errors in the Y-scale defined by EY and the plot format defined by FMT.  See errorbar for available formats and additional information.  See also: errorbar, loglogerr semilogyerr.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 69
Produce two-dimensional plots on a semilogarithm axis with errorbars.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
semilogyerr
# name: <cell-element>
# type: string
# elements: 1
# length: 477
 -- Function File:  semilogyerr (ARGS)
     Produce two-dimensional plots on a semilogarithm axis with errorbars.  Many different combinations of arguments are possible.  The most used form is

          semilogyerr (X, Y, EY, FMT)

     which produces a semi-logarithm plot of Y versus X with errors in the Y-scale defined by EY and the plot format defined by FMT.  See errorbar for available formats and additional information.  See also: errorbar, loglogerr semilogxerr.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 69
Produce two-dimensional plots on a semilogarithm axis with errorbars.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
sphere
# name: <cell-element>
# type: string
# elements: 1
# length: 468
 -- Function File: [X, Y, Z] = sphere (N)
 -- Function File:  sphere (H, ...)
     Generates three matrices in `meshgrid' format, such that `surf (X, Y, Z)' generates a unit sphere.  The matrices of `N+1'-by-`N+1'.  If N is omitted then a default value of 20 is assumed.

     Called with no return arguments, `sphere' call directly `surf (X, Y, Z)'.  If an axes handle is passed as the first argument, the surface is plotted to this set of axes.  See also: peaks.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 98
Generates three matrices in `meshgrid' format, such that `surf (X, Y, Z)' generates a unit sphere.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
xlabel
# name: <cell-element>
# type: string
# elements: 1
# length: 351
 -- Function File:  xlabel (STRING)
 -- Function File:  ylabel (STRING)
 -- Function File:  zlabel (STRING)
 -- Function File:  xlabel (H, STRING)
     Specify x, y, and z axis labels for the current figure.  If H is specified then label the axis defined by H.  See also: plot, semilogx, semilogy, loglog, polar, mesh, contour, bar, stairs, title.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 55
Specify x, y, and z axis labels for the current figure.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
meshz
# name: <cell-element>
# type: string
# elements: 1
# length: 382
 -- Function File:  meshz (X, Y, Z)
     Plot a curtain mesh given matrices X, and Y from `meshgrid' and a matrix Z corresponding to the X and Y coordinates of the mesh.  If X and Y are vectors, then a typical vertex is (X(j), Y(i), Z(i,j)).  Thus, columns of Z correspond to different X values and rows of Z correspond to different Y values.  See also: meshgrid, mesh, contour.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 128
Plot a curtain mesh given matrices X, and Y from `meshgrid' and a matrix Z corresponding to the X and Y coordinates of the mesh.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
ezplot3
# name: <cell-element>
# type: string
# elements: 1
# length: 885
 -- Function File:  ezplot3 (FX, FY, FZ)
 -- Function File:  ezplot3 (..., DOM)
 -- Function File:  ezplot3 (..., N)
 -- Function File:  ezplot3 (H, ...)
 -- Function File: H = ezplot3 (...)
     Plots in three-dimensions the curve defined parametrically.  FX, FY, and FZ are strings, inline functions or function handles with one arguments defining the function.  By default the plot is over the domain `-2*pi < X < 2*pi' with 60 points.

     If DOM is a two element vector, it represents the minimum and maximum value of T.  N is a scalar defining the number of points to use.

     The optional return value H provides a list of handles to the the parts of the vector field (body, arrow and marker).

          fx = @(t) cos (t);
          fy = @(t) sin (t);
          fz = @(t) t;
          ezplot3 (fx, fy, fz, [0, 10*pi], 100);

     See also: plot3, ezplot, ezsurf, ezmesh.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 59
Plots in three-dimensions the curve defined parametrically.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
hidden
# name: <cell-element>
# type: string
# elements: 1
# length: 312
 -- Function File:  hidden (MODE)
 -- Function File:  hidden ()
     Manipulation the mesh hidden line removal.  Called with no argument the hidden line removal is toggled.  The argument MODE can be either 'on' or 'off' and the set of the hidden line removal is set accordingly.  See also: mesh, meshc, surf.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 42
Manipulation the mesh hidden line removal.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
shg
# name: <cell-element>
# type: string
# elements: 1
# length: 136
 -- Function File:  shg
     Show the graph window.  Currently, this is the same as executing `drawnow'.  See also: drawnow, figure.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 22
Show the graph window.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
specular
# name: <cell-element>
# type: string
# elements: 1
# length: 525
 -- Function File:  specular (SX, SY, SZ, L, V)
 -- Function File:  specular (SX, SY, SZ, L, V, SE)
     Calculate specular reflection strength of a surface defined by the normal vector elements SX, SY, SZ using Phong's approximation.  The light and view vectors can be specified using parameter L and V respectively.  Both can be given as 2-element vectors [azimuth, elevation] in degrees or as 3-element vector [x, y, z].  An optional 6th argument describes the specular exponent (spread) SE.  See also: surfl, diffuse.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 129
Calculate specular reflection strength of a surface defined by the normal vector elements SX, SY, SZ using Phong's approximation.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
gcf
# name: <cell-element>
# type: string
# elements: 1
# length: 533
 -- Function File:  gcf ()
     Return the current figure handle.  If a figure does not exist, create one and return its handle.  The handle may then be used to examine or set properties of the figure.  For example,

          fplot (@sin, [-10, 10]);
          fig = gcf ();
          set (fig, "visible", "off");

     plots a sine wave, finds the handle of the current figure, and then makes that figure invisible.  Setting the visible property of the figure to `"on"' will cause it to be displayed again.  See also: get, set.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 33
Return the current figure handle.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
ezmesh
# name: <cell-element>
# type: string
# elements: 1
# length: 1530
 -- Function File:  ezmesh (F)
 -- Function File:  ezmesh (FX, FY, FZ)
 -- Function File:  ezmesh (..., DOM)
 -- Function File:  ezmesh (..., N)
 -- Function File:  ezmesh (..., 'circ')
 -- Function File:  ezmesh (H, ...)
 -- Function File: H = ezmesh (...)
     Plots the mesh defined by a function.  F is a string, inline function or function handle with two arguments defining the function.  By default the plot is over the domain `-2*pi < X < 2*pi' and `-2*pi < Y < 2*pi' with 60 points in each dimension.

     If DOM is a two element vector, it represents the minimum and maximum value of both X and Y.  If DOM is a four element vector, then the minimum and maximum value of X and Y are specify separately.

     N is a scalar defining the number of points to use in each dimension.

     If three functions are passed, then plot the parametrically defined function `[FX (S, T), FY (S, T), FZ (S, T)]'.

     If the argument 'circ' is given, then the function is plotted over a disk centered on the middle of the domain DOM.

     The optional return value H provides a list of handles to the the parts of the vector field (body, arrow and marker).

          f = @(x,y) sqrt(abs(x .* y)) ./ (1 + x.^2 + y.^2);
          ezmesh (f, [-3, 3]);

     An example of a parametrically defined function is

          fx = @(s,t) cos (s) .* cos(t);
          fy = @(s,t) sin (s) .* cos(t);
          fz = @(s,t) sin(t);
          ezmesh (fx, fy, fz, [-pi, pi, -pi/2, pi/2], 20);

     See also: ezplot, ezsurf, ezsurfc, ezmeshc.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 37
Plots the mesh defined by a function.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
bar
# name: <cell-element>
# type: string
# elements: 1
# length: 1384
 -- Function File:  bar (X, Y)
 -- Function File:  bar (Y)
 -- Function File:  bar (X, Y, W)
 -- Function File:  bar (X, Y, W, STYLE)
 -- Function File: H = bar (..., PROP, VAL)
 -- Function File:  bar (H, ...)
     Produce a bar graph from two vectors of x-y data.

     If only one argument is given, it is taken as a vector of y-values and the x coordinates are taken to be the indices of the elements.

     The default width of 0.8 for the bars can be changed using W.

     If Y is a matrix, then each column of Y is taken to be a separate bar graph plotted on the same graph.  By default the columns are plotted side-by-side.  This behavior can be changed by the STYLE argument, which can take the values `"grouped"' (the default), or `"stacked"'.

     The optional return value H provides a handle to the "bar series" object with one handle per column of the variable Y.  This series allows common elements of the group of bar series objects to be changed in a single bar series and the same properties are changed in the other "bar series".  For example

          h = bar (rand (5, 10));
          set (h(1), "basevalue", 0.5);

     changes the position on the base of all of the bar series.

     The optional input handle H allows an axis handle to be passed.  Properties of the patch graphics object can be changed using PROP, VAL pairs.

     See also: barh, plot.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 49
Produce a bar graph from two vectors of x-y data.

# name: <cell-element>
# type: string
# elements: 1
# length: 18
waitforbuttonpress
# name: <cell-element>
# type: string
# elements: 1
# length: 208
 -- Function File: B = waitforbuttonpress ()
     Wait for button or mouse press.over a figure window.  The value of B returns 0 if a mouse button was pressed or 1 is a key was pressed.  See also: ginput.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 31
Wait for button or mouse press.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
pie
# name: <cell-element>
# type: string
# elements: 1
# length: 717
 -- Function File:  pie (Y)
 -- Function File:  pie (Y, EXPLODE)
 -- Function File:  pie (..., LABELS)
 -- Function File:  pie (H, ...);
 -- Function File: H = pie (...);
     Produce a pie chart.

     Called with a single vector argument, produces a pie chart of the elements in X, with the size of the slice determined by percentage size of the values of X.

     The variable EXPLODE is a vector of the same length as X that if non zero 'explodes' the slice from the pie chart.

     If given LABELS is a cell array of strings of the same length as X, giving the labels of each of the slices of the pie chart.

     The optional return value H provides a handle to the patch object.

     See also: bar, stem.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 20
Produce a pie chart.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
surfc
# name: <cell-element>
# type: string
# elements: 1
# length: 389
 -- Function File:  surfc (X, Y, Z)
     Plot a surface and contour given matrices X, and Y from `meshgrid' and a matrix Z corresponding to the X and Y coordinates of the mesh.  If X and Y are vectors, then a typical vertex is (X(j), Y(i), Z(i,j)).  Thus, columns of Z correspond to different X values and rows of Z correspond to different Y values.  See also: meshgrid, surf, contour.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 135
Plot a surface and contour given matrices X, and Y from `meshgrid' and a matrix Z corresponding to the X and Y coordinates of the mesh.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
fplot
# name: <cell-element>
# type: string
# elements: 1
# length: 685
 -- Function File:  fplot (FN, LIMITS)
 -- Function File:  fplot (FN, LIMITS, TOL)
 -- Function File:  fplot (FN, LIMITS, N)
 -- Function File:  fplot (..., FMT)
     Plot a function FN, within the defined limits.  FN an be either a string, a function handle or an inline function.  The limits of the plot are given by LIMITS of the form `[XLO, XHI]' or `[XLO, XHI, YLO, YHI]'.  TOL is the default tolerance to use for the plot, and if TOL is an integer it is assumed that it defines the number points to use in the plot.  The FMT argument is passed to the plot command.

             fplot ("cos", [0, 2*pi])
             fplot ("[cos(x), sin(x)]", [0, 2*pi])
     See also: plot.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 46
Plot a function FN, within the defined limits.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
ylabel
# name: <cell-element>
# type: string
# elements: 1
# length: 102
 -- Function File:  ylabel (STRING)
 -- Function File:  ylabel (H, STRING)
     See also: xlabel..
   
# name: <cell-element>
# type: string
# elements: 1
# length: 17
See also: xlabel.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
sombrero
# name: <cell-element>
# type: string
# elements: 1
# length: 284
 -- Function File:  sombrero (N)
     Produce the familiar three-dimensional sombrero plot using N grid lines.  If N is omitted, a value of 41 is assumed.

     The function plotted is

          z = sin (sqrt (x^2 + y^2)) / (sqrt (x^2 + y^2))
     See also: surf, meshgrid, mesh.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 72
Produce the familiar three-dimensional sombrero plot using N grid lines.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
pcolor
# name: <cell-element>
# type: string
# elements: 1
# length: 1144
 -- Function File:  pcolor (X, Y, C)
 -- Function File:  pcolor (C)
     Density plot for given matrices X, and Y from `meshgrid' and a matrix C corresponding to the X and Y coordinates of the mesh's vertices.  If X and Y are vectors, then a typical vertex is (X(j), Y(i), C(i,j)).  Thus, columns of C correspond to different X values and rows of C correspond to different Y values.

     The `colormap' is scaled to the extents of C.  Limits may be placed on the color axis by the command `caxis', or by setting the `clim' property of the parent axis.

     The face color of each cell of the mesh is determined by interpolating the values of C for the cell's vertices.  Contrast this with `imagesc' which renders one cell for each element of C.

     `shading' modifies an attribute determining the manner by which the face color of each cell is interpolated from the values of C, and the visibility of the cells' edges.  By default the attribute is "faceted", which renders a single color for each cell's face with the edge visible.

     H is the handle to the surface object.

     See also: caxis, contour, meshgrid, imagesc, shading.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 136
Density plot for given matrices X, and Y from `meshgrid' and a matrix C corresponding to the X and Y coordinates of the mesh's vertices.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
surfnorm
# name: <cell-element>
# type: string
# elements: 1
# length: 1094
 -- Function File:  surfnorm (X, Y, Z)
 -- Function File:  surfnorm (Z)
 -- Function File: [NX, NY, NZ] = surfnorm (...)
 -- Function File:  surfnorm (H, ...)
     Find the vectors normal to a meshgridded surface.  The meshed gridded surface is defined by X, Y, and Z.  If X and Y are not defined, then it is assumed that they are given by

          [X, Y] = meshgrid (1:size(Z, 1),
                               1:size(Z, 2));

     If no return arguments are requested, a surface plot with the normal vectors to the surface is plotted.  Otherwise the components of the normal vectors at the mesh gridded points are returned in NX, NY, and NZ.

     The normal vectors are calculated by taking the cross product of the diagonals of each of the quadrilaterals in the meshgrid to find the normal vectors of the centers of these quadrilaterals.  The four nearest normal vectors to the meshgrid points are then averaged to obtain the normal to the surface at the meshgridded points.

     An example of the use of `surfnorm' is

          surfnorm (peaks (25));
     See also: surf, quiver3.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 49
Find the vectors normal to a meshgridded surface.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
text
# name: <cell-element>
# type: string
# elements: 1
# length: 375
 -- Function File: H = text (X, Y, LABEL)
 -- Function File: H = text (X, Y, Z, LABEL)
 -- Function File: H = text (X, Y, LABEL, P1, V1, ...)
 -- Function File: H = text (X, Y, Z, LABEL, P1, V1, ...)
     Create a text object with text LABEL at position X, Y, Z on the current axes.  Property-value pairs following LABEL may be used to specify the appearance of the text.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 77
Create a text object with text LABEL at position X, Y, Z on the current axes.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
ezmeshc
# name: <cell-element>
# type: string
# elements: 1
# length: 1326
 -- Function File:  ezmeshc (F)
 -- Function File:  ezmeshc (FX, FY, FZ)
 -- Function File:  ezmeshc (..., DOM)
 -- Function File:  ezmeshc (..., N)
 -- Function File:  ezmeshc (..., 'circ')
 -- Function File:  ezmeshc (H, ...)
 -- Function File: H = ezmeshc (...)
     Plots the mesh and contour lines defined by a function.  F is a string, inline function or function handle with two arguments defining the function.  By default the plot is over the domain `-2*pi < X < 2*pi' and `-2*pi < Y < 2*pi' with 60 points in each dimension.

     If DOM is a two element vector, it represents the minimum and maximum value of both X and Y.  If DOM is a four element vector, then the minimum and maximum value of X and Y are specify separately.

     N is a scalar defining the number of points to use in each dimension.

     If three functions are passed, then plot the parametrically defined function `[FX (S, T), FY (S, T), FZ (S, T)]'.

     If the argument 'circ' is given, then the function is plotted over a disk centered on the middle of the domain DOM.

     The optional return value H provides a list of handles to the the parts of the vector field (body, arrow and marker).

          f = @(x,y) sqrt(abs(x .* y)) ./ (1 + x.^2 + y.^2);
          ezmeshc (f, [-3, 3]);

     See also: ezplot, ezsurfc, ezsurf, ezmesh.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 55
Plots the mesh and contour lines defined by a function.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
plotyy
# name: <cell-element>
# type: string
# elements: 1
# length: 1209
 -- Function File:  plotyy (X1, Y1, X2, Y2)
 -- Function File:  plotyy (..., FUN)
 -- Function File:  plotyy (..., FUN1, FUN2)
 -- Function File:  plotyy (H, ...)
 -- Function File: [AX, H1, H2] = plotyy (...)
     Plots two sets of data with independent y-axes.  The arguments X1 and Y1 define the arguments for the first plot and X1 and Y2 for the second.

     By default the arguments are evaluated with `feval (@plot, X, Y)'.  However the type of plot can be modified with the FUN argument, in which case the plots are generated by `feval (FUN, X, Y)'.  FUN can be a function handle, an inline function or a string of a function name.

     The function to use for each of the plots can be independently defined with FUN1 and FUN2.

     If given, H defines the principal axis in which to plot the X1 and Y1 data.  The return value AX is a two element vector with the axis handles of the two plots.  H1 and H2 are handles to the objects generated by the plot commands.

          x = 0:0.1:2*pi;
          y1 = sin (x);
          y2 = exp (x - 1);
          ax = plotyy (x, y1, x - 1, y2, @plot, @semilogy);
          xlabel ("X");
          ylabel (ax(1), "Axis 1");
          ylabel (ax(2), "Axis 2");

# name: <cell-element>
# type: string
# elements: 1
# length: 47
Plots two sets of data with independent y-axes.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
rose
# name: <cell-element>
# type: string
# elements: 1
# length: 892
 -- Function File:  rose (TH, R)
 -- Function File:  rose (H, ...)
 -- Function File: H = rose (...)
 -- Function File: [R, TH] = rose (...)
     Plot an angular histogram.  With one vector argument TH, plots the histogram with 20 angular bins.  If TH is a matrix, then each column of TH produces a separate histogram.

     If R is given and is a scalar, then the histogram is produced with R bins.  If R is a vector, then the center of each bin are defined by the values of R.

     The optional return value H provides a list of handles to the the parts of the vector field (body, arrow and marker).

     If two output arguments are requested, then rather than plotting the histogram, the polar vectors necessary to plot the histogram are returned.

          [r, t] = rose ([2*randn(1e5,1), pi + 2 * randn(1e5,1)]);
          polar (r, t);

     See also: plot, compass, polar, hist.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 26
Plot an angular histogram.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
comet
# name: <cell-element>
# type: string
# elements: 1
# length: 560
 -- Function File:  comet (Y)
 -- Function File:  comet (X, Y)
 -- Function File:  comet (X, Y, P)
 -- Function File:  comet (AX, ...)
     Produce a simple comet style animation along the trajectory provided by the input coordinate vectors (X, Y), where X will default to the indices of Y.

     The speed of the comet may be controlled by P, which represents the time which passes as the animation passes from one point to the next.  The default for P is 0.1 seconds.

     If AX is specified the animation is produced in that axis rather than the `gca'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 150
Produce a simple comet style animation along the trajectory provided by the input coordinate vectors (X, Y), where X will default to the indices of Y.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
clabel
# name: <cell-element>
# type: string
# elements: 1
# length: 1453
 -- Function File:  clabel (C, H)
 -- Function File:  clabel (C, H, V)
 -- Function File:  clabel (C, H, "manual")
 -- Function File:  clabel (C)
 -- Function File:  clabel (C, H)
 -- Function File:  clabel (..., PROP, VAL, ...)
 -- Function File: H = clabel (...)
     Adds labels to the contours of a contour plot.  The contour plot is specified by the contour matrix C and optionally the contourgroup object H that are returned by `contour', `contourf' and `contour3'.  The contour labels are rotated and placed in the contour itself.

     By default, all contours are labelled.  However, the contours to label can be specified by the vector V.  If the "manual" argument is given then the contours to label can be selected with the mouse.

     Additional property/value pairs that are valid properties of text objects can be given and are passed to the underlying text objects.  Additionally, the property "LabelSpacing" is available allowing the spacing between labels on a contour (in points) to be specified.  The default is 144 points, or 2 inches.

     The returned value H is the set of text object that represent the contour labels.  The "userdata" property of the text objects contains the numerical value of the contour label.

     An example of the use of `clabel' is

          [c, h] = contour (peaks(), -4 : 6);
          clabel (c, h, -4 : 2 : 6, 'fontsize', 12);

     See also: contour, contourf, contour3, meshc, surfc, text.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 46
Adds labels to the contours of a contour plot.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
axis
# name: <cell-element>
# type: string
# elements: 1
# length: 2333
 -- Function File:  axis (LIMITS)
     Set axis limits for plots.

     The argument LIMITS should be a 2, 4, or 6 element vector.  The first and second elements specify the lower and upper limits for the x axis.  The third and fourth specify the limits for the y-axis, and the fifth and sixth specify the limits for the z-axis.

     Without any arguments, `axis' turns autoscaling on.

     With one output argument, `x = axis' returns the current axes

     The vector argument specifying limits is optional, and additional string arguments may be used to specify various axis properties.  For example,

          axis ([1, 2, 3, 4], "square");

     forces a square aspect ratio, and

          axis ("labely", "tic");

     turns tic marks on for all axes and tic mark labels on for the y-axis only.

     The following options control the aspect ratio of the axes.

    `"square"'
          Force a square aspect ratio.

    `"equal"'
          Force x distance to equal y-distance.

    `"normal"'
          Restore the balance.

     The following options control the way axis limits are interpreted.

    `"auto"'
          Set the specified axes to have nice limits around the data or all if no axes are specified.

    `"manual"'
          Fix the current axes limits.

    `"tight"'
          Fix axes to the limits of the data.

     The option `"image"' is equivalent to `"tight"' and `"equal"'.

     The following options affect the appearance of tic marks.

    `"on"'
          Turn tic marks and labels on for all axes.

    `"off"'
          Turn tic marks off for all axes.

    `"tic[xyz]"'
          Turn tic marks on for all axes, or turn them on for the specified axes and off for the remainder.

    `"label[xyz]"'
          Turn tic labels on for all axes, or turn them on for the specified axes and off for the remainder.

    `"nolabel"'
          Turn tic labels off for all axes.
     Note, if there are no tic marks for an axis, there can be no labels.

     The following options affect the direction of increasing values on the axes.

    `"ij"'
          Reverse y-axis, so lower values are nearer the top.

    `"xy"'
          Restore y-axis, so higher values are nearer the top.

     If an axes handle is passed as the first argument, then operate on this axes rather than the current axes.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 26
Set axis limits for plots.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
cla
# name: <cell-element>
# type: string
# elements: 1
# length: 406
 -- Function File:  cla ()
 -- Function File:  cla ("reset")
 -- Function File:  cla (HAX)
 -- Function File:  cla (HAX, "reset")
     Delete the children of the current axes with visible handles.  If HAX is specified and is an axes object handle, operate on it instead of the current axes.  If the optional argument `"reset"' is specified, also delete the children with hidden handles.  See also: clf.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 61
Delete the children of the current axes with visible handles.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
surfl
# name: <cell-element>
# type: string
# elements: 1
# length: 1410
 -- Function File:  surfl (X, Y, Z)
 -- Function File:  surfl (Z)
 -- Function File:  surfl (X, Y, Z, L)
 -- Function File:  surfl (X, Y, Z, L, P)
 -- Function File:  surfl (...,"light")
     Plot a lighted surface given matrices X, and Y from `meshgrid' and a matrix Z corresponding to the X and Y coordinates of the mesh.  If X and Y are vectors, then a typical vertex is (X(j), Y(i), Z(i,j)).  Thus, columns of Z correspond to different X values and rows of Z correspond to different Y values.

     The light direction can be specified using L.  It can be given as 2-element vector [azimuth, elevation] in degrees or as 3-element vector [lx, ly, lz].  The default value is rotated 45° counter-clockwise from the current view.

     The material properties of the surface can specified using a 4-element vector P = [AM D SP EXP] which defaults to P = [0.55 0.6 0.4 10].
    `"AM" strength of ambient light'

    `"D" strength of diffuse reflection'

    `"SP" strength of specular reflection'

    `"EXP" specular exponent'

     The default lighting mode "cdata", changes the cdata property to give the impression of a lighted surface.  Please note: the alternative "light" mode, which creates a light object to illuminate the surface is not implemented (yet).

     Example:

          colormap(bone);
          surfl(peaks);
          shading interp;
     See also: surf, diffuse, specular, surface.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 131
Plot a lighted surface given matrices X, and Y from `meshgrid' and a matrix Z corresponding to the X and Y coordinates of the mesh.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
subplot
# name: <cell-element>
# type: string
# elements: 1
# length: 736
 -- Function File:  subplot (ROWS, COLS, INDEX)
 -- Function File:  subplot (RCN)
     Set up a plot grid with COLS by ROWS subwindows and plot in location given by INDEX.

     If only one argument is supplied, then it must be a three digit value specifying the location in digits 1 (rows) and 2 (columns) and the plot index in digit 3.

     The plot index runs row-wise.  First all the columns in a row are filled and then the next row is filled.

     For example, a plot with 2 by 3 grid will have plot indices running as follows:

               +-----+-----+-----+
               |  1  |  2  |  3  |
               +-----+-----+-----+
               |  4  |  5  |  6  |
               +-----+-----+-----+
     See also: plot.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 84
Set up a plot grid with COLS by ROWS subwindows and plot in location given by INDEX.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
contourc
# name: <cell-element>
# type: string
# elements: 1
# length: 1036
 -- Function File: [C, LEV] = contourc (X, Y, Z, VN)
     Compute isolines (contour lines) of the matrix Z.  Parameters X, Y and VN are optional.

     The return value LEV is a vector of the contour levels.  The return value C is a 2 by N matrix containing the contour lines in the following format

          C = [lev1, x1, x2, ..., levn, x1, x2, ...
               len1, y1, y2, ..., lenn, y1, y2, ...]

     in which contour line N has a level (height) of LEVN and length of LENN.

     If X and Y are omitted they are taken as the row/column index of Z.  VN is either a scalar denoting the number of lines to compute or a vector containing the values of the lines.  If only one value is wanted, set `VN = [val, val]'; If VN is omitted it defaults to 10.

     For example,
          x = 0:2;
          y = x;
          z = x' * y;
          contourc (x, y, z, 2:3)
               =>   2.0000   2.0000   1.0000   3.0000   1.5000   2.0000
               2.0000   1.0000   2.0000   2.0000   2.0000   1.5000
     See also: contour.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 49
Compute isolines (contour lines) of the matrix Z.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
plot3
# name: <cell-element>
# type: string
# elements: 1
# length: 1525
 -- Function File:  plot3 (ARGS)
     Produce three-dimensional plots.  Many different combinations of arguments are possible.  The simplest form is

          plot3 (X, Y, Z)

     in which the arguments are taken to be the vertices of the points to be plotted in three dimensions.  If all arguments are vectors of the same length, then a single continuous line is drawn.  If all arguments are matrices, then each column of the matrices is treated as a separate line.  No attempt is made to transpose the arguments to make the number of rows match.

     If only two arguments are given, as

          plot3 (X, C)

     the real and imaginary parts of the second argument are used as the Y and Z coordinates, respectively.

     If only one argument is given, as

          plot3 (C)

     the real and imaginary parts of the argument are used as the Y and Z values, and they are plotted versus their index.

     Arguments may also be given in groups of three as

          plot3 (X1, Y1, Z1, X2, Y2, Z2, ...)

     in which each set of three arguments is treated as a separate line or set of lines in three dimensions.

     To plot multiple one- or two-argument groups, separate each group with an empty format string, as

          plot3 (X1, C1, "", C2, "", ...)

     An example of the use of `plot3' is

             z = [0:0.05:5];
             plot3 (cos(2*pi*z), sin(2*pi*z), z, ";helix;");
             plot3 (z, exp(2i*pi*z), ";complex sinusoid;");
     See also: plot, xlabel, ylabel, zlabel, title, print.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 32
Produce three-dimensional plots.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
ezpolar
# name: <cell-element>
# type: string
# elements: 1
# length: 773
 -- Function File:  ezpolar (F)
 -- Function File:  ezpolar (..., DOM)
 -- Function File:  ezpolar (..., N)
 -- Function File:  ezpolar (H, ...)
 -- Function File: H = ezpolar (...)
     Plots in polar plot defined by a function.  The function F is either a string, inline function or function handle with one arguments defining the function.  By default the plot is over the domain `0 < X < 2*pi' with 60 points.

     If DOM is a two element vector, it represents the minimum and maximum value of both T.  N is a scalar defining the number of points to use.

     The optional return value H provides a list of handles to the the parts of the vector field (body, arrow and marker).

          ezpolar (@(t) 1 + sin (t));

     See also: polar, ezplot, ezsurf, ezmesh.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 42
Plots in polar plot defined by a function.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
ribbon
# name: <cell-element>
# type: string
# elements: 1
# length: 428
 -- Function File:  ribbon (X, Y, WIDTH)
 -- Function File:  ribbon (Y)
 -- Function File: H = ribbon (...)
     Plot a ribbon plot for the columns of Y vs.  X.  The optional parameter WIDTH specifies the width of a single ribbon (default is 0.75).  If X is omitted, a vector containing the row numbers is assumed (1:rows(Y)).  If requested, return a vector H of the handles to the surface objects.  See also: gca, colorbar.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 43
Plot a ribbon plot for the columns of Y vs.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
pareto
# name: <cell-element>
# type: string
# elements: 1
# length: 1386
 -- Function File:  pareto (X)
 -- Function File:  pareto (X, Y)
 -- Function File:  pareto (H, ...)
 -- Function File: H = pareto (...)
     Draw a Pareto chart, also called ABC chart.  A Pareto chart is a bar graph used to arrange information in such a way that priorities for process improvement can be established.  It organizes and displays information to show the relative importance of data.  The chart is similar to the histogram or bar chart, except that the bars are arranged in decreasing order from left to right along the abscissa.

     The fundamental idea (Pareto principle) behind the use of Pareto diagrams is that the majority of an effect is due to a small subset of the causes, so for quality improvement the first few (as presented on the diagram) contributing causes to a problem usually account for the majority of the result.  Thus, targeting these "major causes" for elimination results in the most cost-effective improvement scheme.

     The data are passed as X and the abscissa as Y.  If Y is absent, then the abscissa are assumed to be `1 : length (X)'.  Y can be a string array, a cell array of strings or a numerical vector.

     An example of the use of `pareto' is

          Cheese = {"Cheddar", "Swiss", "Camembert", ...
                    "Munster", "Stilton", "Blue"};
          Sold = [105, 30, 70, 10, 15, 20];
          pareto(Sold, Cheese);

# name: <cell-element>
# type: string
# elements: 1
# length: 43
Draw a Pareto chart, also called ABC chart.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
legend
# name: <cell-element>
# type: string
# elements: 1
# length: 3141
 -- Function File:  legend (ST1, ST2, ...)
 -- Function File:  legend (ST1, ST2, ..., "location", POS)
 -- Function File:  legend (MATSTR)
 -- Function File:  legend (MATSTR, "location", POS)
 -- Function File:  legend (CELL)
 -- Function File:  legend (CELL, "location", POS)
 -- Function File:  legend ('FUNC')
     Display a legend for the current axes using the specified strings as labels.  Legend entries may be specified as individual character string arguments, a character array, or a cell array of character strings.  Legend works on line graphs, bar graphs, etc.  A plot must exist before legend is called.

     The optional parameter POS specifies the location of the legend as follows:

                                                                   north                                                                                                                                            center top
                                                                   south                                                                                                                                            center bottom
                                                                   east                                                                                                                                             right center
                                                                   west                                                                                                                                             left center
                                                                   northeast                                                                                                                                        right top (default)
                                                                   northwest                                                                                                                                        left top
                                                                   southeast                                                                                                                                        right bottom
                                                                   southwest                                                                                                                                        left bottom

                                                                   outside                                                                                                                                          can be appended to any location string

     Some specific functions are directly available using FUNC:

    "show"
          Show legends from the plot

    "hide"
    "off"
          Hide legends from the plot

    "boxon"
          Draw a box around legends

    "boxoff"
          Withdraw the box around legends

    "left"
          Text is to the left of the keys

    "right"
          Text is to the right of the keys

# name: <cell-element>
# type: string
# elements: 1
# length: 76
Display a legend for the current axes using the specified strings as labels.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
mesh
# name: <cell-element>
# type: string
# elements: 1
# length: 367
 -- Function File:  mesh (X, Y, Z)
     Plot a mesh given matrices X, and Y from `meshgrid' and a matrix Z corresponding to the X and Y coordinates of the mesh.  If X and Y are vectors, then a typical vertex is (X(j), Y(i), Z(i,j)).  Thus, columns of Z correspond to different X values and rows of Z correspond to different Y values.  See also: meshgrid, contour.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 120
Plot a mesh given matrices X, and Y from `meshgrid' and a matrix Z corresponding to the X and Y coordinates of the mesh.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
peaks
# name: <cell-element>
# type: string
# elements: 1
# length: 854
 -- Function File:  peaks ()
 -- Function File:  peaks (N)
 -- Function File:  peaks (X, Y)
 -- Function File: Z = peaks (...)
 -- Function File: [X, Y, Z] = peaks (...)
     Generate a function with lots of local maxima and minima.  The function has the form


     f(x,y) = 3*(1-x)^2*exp(-x^2 - (y+1)^2) ...
              - 10*(x/5 - x^3 - y^5)*exp(-x^2-y^2) ...
              - 1/3*exp(-(x+1)^2 - y^2)

     Called without a return argument, `peaks' plots the surface of the above function using `mesh'.  If N is a scalar, the `peaks' returns the values of the above function on a N-by-N mesh over the range `[-3,3]'.  The default value for N is 49.

     If N is a vector, then it represents the X and Y values of the grid on which to calculate the above function.  The X and Y values can be specified separately.  See also: surf, mesh, meshgrid.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 57
Generate a function with lots of local maxima and minima.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
contour
# name: <cell-element>
# type: string
# elements: 1
# length: 982
 -- Function File:  contour (Z)
 -- Function File:  contour (Z, VN)
 -- Function File:  contour (X, Y, Z)
 -- Function File:  contour (X, Y, Z, VN)
 -- Function File:  contour (..., STYLE)
 -- Function File:  contour (H, ...)
 -- Function File: [C, H] = contour (...)
     Plot level curves (contour lines) of the matrix Z, using the contour matrix C computed by `contourc' from the same arguments; see the latter for their interpretation.  The set of contour levels, C, is only returned if requested.  For example:

          x = 0:2;
          y = x;
          z = x' * y;
          contour (x, y, z, 2:3)

     The style to use for the plot can be defined with a line style STYLE in a similar manner to the line styles used with the `plot' command.  Any markers defined by STYLE are ignored.

     The optional input and output argument H allows an axis handle to be passed to `contour' and the handles to the contour objects to be returned.  See also: contourc, patch, plot.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 166
Plot level curves (contour lines) of the matrix Z, using the contour matrix C computed by `contourc' from the same arguments; see the latter for their interpretation.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
isosurface
# name: <cell-element>
# type: string
# elements: 1
# length: 3902
 -- Function File: [FV] = isosurface (VAL, ISO)
 -- Function File: [FV] = isosurface (X, Y, Z, VAL, ISO)
 -- Function File: [FV] = isosurface (..., "noshare", "verbose")
 -- Function File: [FVC] = isosurface (..., COL)
 -- Function File: [F, V] = isosurface (X, Y, Z, VAL, ISO)
 -- Function File: [F, V, C] = isosurface (X, Y, Z, VAL, ISO, COL)
 -- Function File:  isosurface (X, Y, Z, VAL, ISO, COL, OPT)
     If called with one output argument and the first input argument VAL is a three-dimensional array that contains the data of an isosurface geometry and the second input argument ISO keeps the isovalue as a scalar value then return a structure array FV that contains the fields FACES and VERTICES at computed points `[x, y, z] = meshgrid (1:l, 1:m, 1:n)'.  The output argument FV can directly be taken as an input argument for the `patch' function.

     If called with further input arguments X, Y and Z which are three-dimensional arrays with the same size than VAL then the volume data is taken at those given points.

     The string input argument "noshare" is only for compatibility and has no effect. If given the string input argument "verbose" then print messages to the command line interface about the current progress.

     If called with the input argument COL which is a three-dimensional array of the same size than VAL then take those values for the interpolation of coloring the isosurface geometry.  Add the field FACEVERTEXCDATA to the structure array FV.

     If called with two or three output arguments then return the information about the faces F, vertices V and color data C as seperate arrays instead of a single structure array.

     If called with no output argument then directly process the isosurface geometry with the `patch' command.

     For example

          [x, y, z] = meshgrid (1:5, 1:5, 1:5);
          val = rand (5, 5, 5);
          isosurface (x, y, z, val, .5);

     will directly draw a random isosurface geometry in a graphics window.  Another example for an isosurface geometry with different additional coloring

          N = 15;    ## Increase number of vertices in each direction
          iso = .4;  ## Change isovalue to .1 to display a sphere
          lin = linspace (0, 2, N);
          [x, y, z] = meshgrid (lin, lin, lin);
          c = abs ((x-.5).^2 + (y-.5).^2 + (z-.5).^2);
          figure (); ## Open another figure window

          subplot (2, 2, 1); view (-38, 20);
          [f, v] = isosurface (x, y, z, c, iso);
          p = patch ("Faces", f, "Vertices", v, "EdgeColor", "none");
          set (gca, "DataAspectRatioMode","manual", "DataAspectRatio", [1 1 1]);
           set (p, "FaceColor", "green", "FaceLighting", "phong");
           light ("Position", [1 1 5]); ## Available with the JHandles package

          subplot (2, 2, 2); view (-38, 20);
          p = patch ("Faces", f, "Vertices", v, "EdgeColor", "blue");
          set (gca, "DataAspectRatioMode","manual", "DataAspectRatio", [1 1 1]);
           set (p, "FaceColor", "none", "FaceLighting", "phong");
           light ("Position", [1 1 5]);

          subplot (2, 2, 3); view (-38, 20);
          [f, v, c] = isosurface (x, y, z, c, iso, y);
          p = patch ("Faces", f, "Vertices", v, "FaceVertexCData", c, \
                     "FaceColor", "interp", "EdgeColor", "none");
          set (gca, "DataAspectRatioMode","manual", "DataAspectRatio", [1 1 1]);
           set (p, "FaceLighting", "phong");
           light ("Position", [1 1 5]);

          subplot (2, 2, 4); view (-38, 20);
          p = patch ("Faces", f, "Vertices", v, "FaceVertexCData", c, \
                     "FaceColor", "interp", "EdgeColor", "blue");
          set (gca, "DataAspectRatioMode","manual", "DataAspectRatio", [1 1 1]);
           set (p, "FaceLighting", "phong");
           light ("Position", [1 1 5]);

     See also: isocolors, isonormals, isocaps.

   
# name: <cell-element>
# type: string
# elements: 1
# length: 352
If called with one output argument and the first input argument VAL is a three-dimensional array that contains the data of an isosurface geometry and the second input argument ISO keeps the isovalue as a scalar value then return a structure array FV that contains the fields FACES and VERTICES at computed points `[x, y, z] = meshgrid (1:l, 1:m, 1:n)'.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
isocolors
# name: <cell-element>
# type: string
# elements: 1
# length: 3332
 -- Function File: [CD] = isocolors (C, V)
 -- Function File: [CD] = isocolors (X, Y, Z, C, V)
 -- Function File: [CD] = isocolors (X, Y, Z, R, G, B, V)
 -- Function File: [CD] = isocolors (R, G, B, V)
 -- Function File: [CD] = isocolors (..., P)
 -- Function File: isocolors (...)
     If called with one output argument and the first input argument C is a three-dimensional array that contains color values and the second input argument V keeps the vertices of a geometry then return a matrix CD with color data information for the geometry at computed points `[x, y, z] = meshgrid (1:l, 1:m, 1:n)'.  The output argument CD can be taken to manually set FaceVertexCData of a patch.

     If called with further input arguments X, Y and Z which are three-dimensional arrays of the same size than C then the color data is taken at those given points.  Instead of the color data C this function can also be called with RGB values R, G, B.  If input argumnets X, Y, Z are not given then again `meshgrid' computed values are taken.

     Optionally, the patch handle P can be given as the last input argument to all variations of function calls instead of the vertices data V.  Finally, if no output argument is given then directly change the colors of a patch that is given by the patch handle P.

     For example,
          function [] = isofinish (p)
            set (gca, "DataAspectRatioMode", "manual", \
                 "DataAspectRatio", [1 1 1]);
            set (p, "FaceColor", "interp");
            ## set (p, "FaceLighting", "flat");
            ## light ("Position", [1 1 5]); ## Available with JHandles
          endfunction

          N = 15;    ## Increase number of vertices in each direction
          iso = .4;  ## Change isovalue to .1 to display a sphere
          lin = linspace (0, 2, N);
          [x, y, z] = meshgrid (lin, lin, lin);
          c = abs ((x-.5).^2 + (y-.5).^2 + (z-.5).^2);
          figure (); ## Open another figure window

          subplot (2, 2, 1); view (-38, 20);
          [f, v] = isosurface (x, y, z, c, iso);
          p = patch ("Faces", f, "Vertices", v, "EdgeColor", "none");
          cdat = rand (size (c));       ## Compute random patch color data
          isocolors (x, y, z, cdat, p); ## Directly set colors of patch
          isofinish (p);                ## Call user function isofinish

          subplot (2, 2, 2); view (-38, 20);
          p = patch ("Faces", f, "Vertices", v, "EdgeColor", "none");
          [r, g, b] = meshgrid (lin, 2-lin, 2-lin);
          cdat = isocolors (x, y, z, c, v); ## Compute color data vertices
          set (p, "FaceVertexCData", cdat); ## Set color data manually
          isofinish (p);

          subplot (2, 2, 3); view (-38, 20);
          p = patch ("Faces", f, "Vertices", v, "EdgeColor", "none");
          cdat = isocolors (r, g, b, c, p); ## Compute color data patch
          set (p, "FaceVertexCData", cdat); ## Set color data manually
          isofinish (p);

          subplot (2, 2, 4); view (-38, 20);
          p = patch ("Faces", f, "Vertices", v, "EdgeColor", "none");
          r = g = b = repmat ([1:N] / N, [N, 1, N]); ## Black to white
          cdat = isocolors (x, y, z, r, g, b, v);
          set (p, "FaceVertexCData", cdat);
          isofinish (p);

     See also: isosurface, isonormals, isocaps.

   
# name: <cell-element>
# type: string
# elements: 1
# length: 314
If called with one output argument and the first input argument C is a three-dimensional array that contains color values and the second input argument V keeps the vertices of a geometry then return a matrix CD with color data information for the geometry at computed points `[x, y, z] = meshgrid (1:l, 1:m, 1:n)'.

# name: <cell-element>
# type: string
# elements: 1
# length: 15
gnuplot_drawnow
# name: <cell-element>
# type: string
# elements: 1
# length: 228
 -- Function File:  drawnow ()
     Update and display the current graphics.

     Octave automatically calls drawnow just before printing a prompt, when `sleep' or `pause' is called, or while waiting for command-line input.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 40
Update and display the current graphics.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
quiver3
# name: <cell-element>
# type: string
# elements: 1
# length: 1453
 -- Function File:  quiver3 (U, V, W)
 -- Function File:  quiver3 (X, Y, Z, U, V, W)
 -- Function File:  quiver3 (..., S)
 -- Function File:  quiver3 (..., STYLE)
 -- Function File:  quiver3 (..., 'filled')
 -- Function File:  quiver3 (H, ...)
 -- Function File: H = quiver3 (...)
     Plot the `(U, V, W)' components of a vector field in an `(X, Y), Z' meshgrid.  If the grid is uniform, you can specify X, Y Z as vectors.

     If X, Y and Z are undefined they are assumed to be `(1:M, 1:N, 1:P)' where `[M, N] = size(U)' and `P = max (size (W))'.

     The variable S is a scalar defining a scaling factor to use for  the arrows of the field relative to the mesh spacing.  A value of 0 disables all scaling.  The default value is 1.

     The style to use for the plot can be defined with a line style STYLE in a similar manner to the line styles used with the `plot' command.  If a marker is specified then markers at the grid points of the vectors are printed rather than arrows.  If the argument 'filled' is given then the markers as filled.

     The optional return value H provides a quiver group that regroups the components of the quiver plot (body, arrow and marker), and allows them to be changed together

          [x, y, z] = peaks (25);
          surf (x, y, z);
          hold on;
          [u, v, w] = surfnorm (x, y, z / 10);
          h = quiver3 (x, y, z, u, v, w);
          set (h, "maxheadsize", 0.33);

     See also: plot.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 77
Plot the `(U, V, W)' components of a vector field in an `(X, Y), Z' meshgrid.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
clf
# name: <cell-element>
# type: string
# elements: 1
# length: 481
 -- Function File:  clf ()
 -- Function File:  clf ("reset")
 -- Function File:  clf (HFIG)
 -- Function File:  clf (HFIG, "reset")
     Clear the current figure window.  `clf' operates by deleting child graphics objects with visible handles (`HandleVisibility' = on).  If HFIG is specified operate on it instead of the current figure.  If the optional argument `"reset"' is specified, all objects including those with hidden handles are deleted.  See also: cla, close, delete.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 32
Clear the current figure window.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
hggroup
# name: <cell-element>
# type: string
# elements: 1
# length: 379
 -- Function File:  hggroup ()
 -- Function File:  hggroup (H)
 -- Function File:  hggroup (..., PROPERTY, VALUE, ...)
     Create group object with parent H.  If no parent is specified, the group is created in the current axes.  Return the handle of the group object created.

     Multiple property-value pairs may be specified for the group, but they must appear in pairs.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
Create group object with parent H.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
backend
# name: <cell-element>
# type: string
# elements: 1
# length: 399
 -- Function File:  backend (NAME)
 -- Function File:  backend (HLIST, NAME)
     Change the default graphics backend to NAME.  If the backend is not already loaded, it is first initialized (initialization is done through the execution of `__init_NAME__').

     When called with a list of figure handles, HLIST, the backend is changed only for the listed figures.  See also: available_backends.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 44
Change the default graphics backend to NAME.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
refreshdata
# name: <cell-element>
# type: string
# elements: 1
# length: 886
 -- Function File:  refreshdata ()
 -- Function File:  refreshdata (H)
 -- Function File:  refreshdata (H, WORKSPACE)
     Evaluate any `datasource' properties of the current figure and update the plot if the corresponding data has changed.  If called with one or more arguments H is a scalar or array of figure handles to refresh.  The optional second argument WORKSPACE can take the following values.

    `"base"'
          Evaluate the datasource properties in the base workspace.  (default).

    `"caller"'
          Evaluate the datasource properties in the workspace of the function that called `refreshdata'.

     An example of the use of `refreshdata' is:

          x = 0:0.1:10;
          y = sin (x);
          plot (x, y, "ydatasource", "y");
          for i = 1 : 100
            pause(0.1)
            y = sin (x + 0.1 * i);
            refreshdata();
          endfor

# name: <cell-element>
# type: string
# elements: 1
# length: 117
Evaluate any `datasource' properties of the current figure and update the plot if the corresponding data has changed.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
line
# name: <cell-element>
# type: string
# elements: 1
# length: 394
 -- Function File:  line ()
 -- Function File:  line (X, Y)
 -- Function File:  line (X, Y, Z)
 -- Function File:  line (X, Y, Z, PROPERTY, VALUE, ...)
     Create line object from X and Y and insert in current axes object.  Return a handle (or vector of handles) to the line objects created.

     Multiple property-value pairs may be specified for the line, but they must appear in pairs.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 66
Create line object from X and Y and insert in current axes object.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
ezsurfc
# name: <cell-element>
# type: string
# elements: 1
# length: 1329
 -- Function File:  ezsurfc (F)
 -- Function File:  ezsurfc (FX, FY, FZ)
 -- Function File:  ezsurfc (..., DOM)
 -- Function File:  ezsurfc (..., N)
 -- Function File:  ezsurfc (..., 'circ')
 -- Function File:  ezsurfc (H, ...)
 -- Function File: H = ezsurfc (...)
     Plots the surface and contour lines defined by a function.  F is a string, inline function or function handle with two arguments defining the function.  By default the plot is over the domain `-2*pi < X < 2*pi' and `-2*pi < Y < 2*pi' with 60 points in each dimension.

     If DOM is a two element vector, it represents the minimum and maximum value of both X and Y.  If DOM is a four element vector, then the minimum and maximum value of X and Y are specify separately.

     N is a scalar defining the number of points to use in each dimension.

     If three functions are passed, then plot the parametrically defined function `[FX (S, T), FY (S, T), FZ (S, T)]'.

     If the argument 'circ' is given, then the function is plotted over a disk centered on the middle of the domain DOM.

     The optional return value H provides a list of handles to the the parts of the vector field (body, arrow and marker).

          f = @(x,y) sqrt(abs(x .* y)) ./ (1 + x.^2 + y.^2);
          ezsurfc (f, [-3, 3]);

     See also: ezplot, ezmeshc, ezsurf, ezmesh.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 58
Plots the surface and contour lines defined by a function.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
refresh
# name: <cell-element>
# type: string
# elements: 1
# length: 243
 -- Function File:  refresh ()
 -- Function File:  refresh (H)
     Refresh a figure, forcing it to be redrawn.  Called without an argument the current figure is redrawn, otherwise the figure pointed to by H is redrawn.  See also: drawnow.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 43
Refresh a figure, forcing it to be redrawn.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
caxis
# name: <cell-element>
# type: string
# elements: 1
# length: 669
 -- Function File:  caxis (LIMITS)
 -- Function File:  caxis (H, ...)
     Set color axis limits for plots.

     The argument LIMITS should be a 2 element vector specifying the lower and upper limits to assign to the first and last value in the colormap.  Values outside this range are clamped to the first and last colormap entries.

     If LIMITS is 'auto', then automatic colormap scaling is applied, whereas if LIMITS is 'manual' the colormap scaling is set to manual.

     Called without any arguments to current color axis limits are returned.

     If an axes handle is passed as the first argument, then operate on this axes rather than the current axes.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 32
Set color axis limits for plots.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
quiver
# name: <cell-element>
# type: string
# elements: 1
# length: 1332
 -- Function File:  quiver (U, V)
 -- Function File:  quiver (X, Y, U, V)
 -- Function File:  quiver (..., S)
 -- Function File:  quiver (..., STYLE)
 -- Function File:  quiver (..., 'filled')
 -- Function File:  quiver (H, ...)
 -- Function File: H = quiver (...)
     Plot the `(U, V)' components of a vector field in an `(X, Y)' meshgrid.  If the grid is uniform, you can specify X and Y as vectors.

     If X and Y are undefined they are assumed to be `(1:M, 1:N)' where `[M, N] = size(U)'.

     The variable S is a scalar defining a scaling factor to use for  the arrows of the field relative to the mesh spacing.  A value of 0 disables all scaling.  The default value is 1.

     The style to use for the plot can be defined with a line style STYLE in a similar manner to the line styles used with the `plot' command.  If a marker is specified then markers at the grid points of the vectors are printed rather than arrows.  If the argument 'filled' is given then the markers as filled.

     The optional return value H provides a quiver group that regroups the components of the quiver plot (body, arrow and marker), and allows them to be changed together

          [x, y] = meshgrid (1:2:20);
          h = quiver (x, y, sin (2*pi*x/10), sin (2*pi*y/10));
          set (h, "maxheadsize", 0.33);

     See also: plot.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 71
Plot the `(U, V)' components of a vector field in an `(X, Y)' meshgrid.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
plot
# name: <cell-element>
# type: string
# elements: 1
# length: 3989
 -- Function File:  plot (Y)
 -- Function File:  plot (X, Y)
 -- Function File:  plot (X, Y, PROPERTY, VALUE, ...)
 -- Function File:  plot (X, Y, FMT)
 -- Function File:  plot (H, ...)
     Produces two-dimensional plots.  Many different combinations of arguments are possible.  The simplest form is

          plot (Y)

     where the argument is taken as the set of Y coordinates and the X coordinates are taken to be the indices of the elements, starting with 1.

     To save a plot, in one of several image formats such as PostScript or PNG, use the `print' command.

     If more than one argument is given, they are interpreted as

          plot (Y, PROPERTY, VALUE, ...)

     or

          plot (X, Y, PROPERTY, VALUE, ...)

     or

          plot (X, Y, FMT, ...)

     and so on.  Any number of argument sets may appear.  The X and Y values are interpreted as follows:

        * If a single data argument is supplied, it is taken as the set of Y coordinates and the X coordinates are taken to be the indices of the elements, starting with 1.

        * If the X is a vector and Y is a matrix, then the columns (or rows) of Y are plotted versus X.  (using whichever combination matches, with columns tried first.)

        * If the X is a matrix and Y is a vector, Y is plotted versus the columns (or rows) of X.  (using whichever combination matches, with columns tried first.)

        * If both arguments are vectors, the elements of Y are plotted versus the elements of X.

        * If both arguments are matrices, the columns of Y are plotted versus the columns of X.  In this case, both matrices must have the same number of rows and columns and no attempt is made to transpose the arguments to make the number of rows match.

          If both arguments are scalars, a single point is plotted.

     Multiple property-value pairs may be specified, but they must appear in pairs.  These arguments are applied to the lines drawn by `plot'.

     If the FMT argument is supplied, it is interpreted as follows.  If FMT is missing, the default gnuplot line style is assumed.

    `-'
          Set lines plot style (default).

    `.'
          Set dots plot style.

    `N'
          Interpreted as the plot color if N is an integer in the range 1 to 6.

    `NM'
          If NM is a two digit integer and M is an integer in the range 1 to 6, M is interpreted as the point style.  This is only valid in combination with the `@' or `-@' specifiers.

    `C'
          If C is one of `"k"' (black), `"r"' (red), `"g"' (green), `"b"' (blue), `"m"' (magenta), `"c"' (cyan), or `"w"' (white), it is interpreted as the line plot color.

    `";title;"'
          Here `"title"' is the label for the key.

    `+'
    `*'
    `o'
    `x'
    `^'
          Used in combination with the points or linespoints styles, set the point style.

     The FMT argument may also be used to assign key titles.  To do so, include the desired title between semi-colons after the formatting sequence described above, e.g., "+3;Key Title;" Note that the last semi-colon is required and will generate an error if it is left out.

     Here are some plot examples:

          plot (x, y, "@12", x, y2, x, y3, "4", x, y4, "+")

     This command will plot `y' with points of type 2 (displayed as `+') and color 1 (red), `y2' with lines, `y3' with lines of color 4 (magenta) and `y4' with points displayed as `+'.

          plot (b, "*", "markersize", 3)

     This command will plot the data in the variable `b', with points displayed as `*' with a marker size of 3.

          t = 0:0.1:6.3;
          plot (t, cos(t), "-;cos(t);", t, sin(t), "+3;sin(t);");

     This will plot the cosine and sine functions and label them accordingly in the key.

     If the first argument is an axis handle, then plot into these axes, rather than the current axis handle returned by `gca'.  See also: semilogx, semilogy, loglog, polar, mesh, contour, bar, stairs, errorbar, xlabel, ylabel, title, print.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 31
Produces two-dimensional plots.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
scatter
# name: <cell-element>
# type: string
# elements: 1
# length: 1399
 -- Function File:  scatter (X, Y, S, C)
 -- Function File:  scatter (..., 'filled')
 -- Function File:  scatter (..., STYLE)
 -- Function File:  scatter (..., PROP, VAL)
 -- Function File:  scatter (H, ...)
 -- Function File: H = scatter (...)
     Plot a scatter plot of the data.  A marker is plotted at each point defined by the points in the vectors X and Y.  The size of the markers used is determined by the S, which can be a scalar, a vector of the same length of X and Y.  If S is not given or is an empty matrix, then the default value of 8 points is used.

     The color of the markers is determined by C, which can be a string defining a fixed color, a 3 element vector giving the red, green and blue components of the color, a vector of the same length as X that gives a scaled index into the current colormap, or a N-by-3 matrix defining the colors of each of the markers individually.

     The marker to use can be changed with the STYLE argument, that is a string defining a marker in the same manner as the `plot' command.  If the argument 'filled' is given then the markers as filled.  All additional arguments are passed to the underlying patch command.

     The optional return value H provides a handle to the patch object

          x = randn (100, 1);
          y = randn (100, 1);
          scatter (x, y, [], sqrt(x.^2 + y.^2));

     See also: plot, patch, scatter3.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 32
Plot a scatter plot of the data.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
surf
# name: <cell-element>
# type: string
# elements: 1
# length: 366
 -- Function File:  surf (X, Y, Z)
     Plot a surface given matrices X, and Y from `meshgrid' and a matrix Z corresponding to the X and Y coordinates of the mesh.  If X and Y are vectors, then a typical vertex is (X(j), Y(i), Z(i,j)).  Thus, columns of Z correspond to different X values and rows of Z correspond to different Y values.  See also: mesh, surface.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 123
Plot a surface given matrices X, and Y from `meshgrid' and a matrix Z corresponding to the X and Y coordinates of the mesh.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
feather
# name: <cell-element>
# type: string
# elements: 1
# length: 760
 -- Function File:  feather (U, V)
 -- Function File:  feather (Z)
 -- Function File:  feather (..., STYLE)
 -- Function File:  feather (H, ...)
 -- Function File: H = feather (...)
     Plot the `(U, V)' components of a vector field emanating from equidistant points on the x-axis.  If a single complex argument Z is given, then `U = real (Z)' and `V = imag (Z)'.

     The style to use for the plot can be defined with a line style STYLE in a similar manner to the line styles used with the `plot' command.

     The optional return value H provides a list of handles to the the parts of the vector field (body, arrow and marker).

          phi = [0 : 15 : 360] * pi / 180;
          feather (sin (phi), cos (phi))

     See also: plot, quiver, compass.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 95
Plot the `(U, V)' components of a vector field emanating from equidistant points on the x-axis.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
newplot
# name: <cell-element>
# type: string
# elements: 1
# length: 173
 -- Function File:  newplot ()
     Prepare graphics engine to produce a new plot.  This function should be called at the beginning of all high-level plotting functions.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 46
Prepare graphics engine to produce a new plot.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
polar
# name: <cell-element>
# type: string
# elements: 1
# length: 199
 -- Function File:  polar (THETA, RHO, FMT)
     Make a two-dimensional plot given the polar coordinates THETA and RHO.

     The optional third argument specifies the line type.  See also: plot.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 70
Make a two-dimensional plot given the polar coordinates THETA and RHO.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
closereq
# name: <cell-element>
# type: string
# elements: 1
# length: 143
 -- Function File:  closereq ()
     Close the current figure and delete all graphics objects associated with it.  See also: close, delete.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 76
Close the current figure and delete all graphics objects associated with it.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
area
# name: <cell-element>
# type: string
# elements: 1
# length: 836
 -- Function File:  area (X, Y)
 -- Function File:  area (X, Y, LVL)
 -- Function File:  area (..., PROP, VAL, ...)
 -- Function File:  area (Y, ...)
 -- Function File:  area (H, ...)
 -- Function File: H = area (...)
     Area plot of cumulative sum of the columns of Y.  This shows the contributions of a value to a sum, and is functionally similar to `plot (X, cumsum (Y, 2))', except that the area under the curve is shaded.

     If the X argument is omitted it is assumed to be given by `1 : rows (Y)'.  A value LVL can be defined that determines where the base level of the shading under the curve should be defined.

     Additional arguments to the `area' function are passed to the `patch'.  The optional return value H provides a handle to area series object representing the patches of the areas.  See also: plot, patch.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 48
Area plot of cumulative sum of the columns of Y.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
xlim
# name: <cell-element>
# type: string
# elements: 1
# length: 771
 -- Function File: XL = xlim ()
 -- Function File:  xlim (XL)
 -- Function File: M = xlim ('mode')
 -- Function File:  xlim (M)
 -- Function File:  xlim (H, ...)
     Get or set the limits of the x-axis of the current plot.  Called without arguments `xlim' returns the x-axis limits of the current plot.  If passed a two element vector XL, the limits of the x-axis are set to this value.

     The current mode for calculation of the x-axis can be returned with a call `xlim ('mode')', and can be either 'auto' or 'manual'.  The current plotting mode can be set by passing either 'auto' or 'manual' as the argument.

     If passed an handle as the first argument, then operate on this handle rather than the current axes handle.  See also: ylim, zlim, set, get, gca.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 56
Get or set the limits of the x-axis of the current plot.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
ancestor
# name: <cell-element>
# type: string
# elements: 1
# length: 570
 -- Function File: PARENT = ancestor (H, TYPE)
 -- Function File: PARENT = ancestor (H, TYPE, 'toplevel')
     Return the first ancestor of handle object H whose type matches TYPE, where TYPE is a character string.  If TYPE is a cell array of strings, return the first parent whose type matches any of the given type strings.

     If the handle object H is of type TYPE, return H.

     If `"toplevel"' is given as a 3rd argument, return the highest parent in the object hierarchy that matches the condition, instead of the first (nearest) one.  See also: get, set.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 103
Return the first ancestor of handle object H whose type matches TYPE, where TYPE is a character string.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
gtext
# name: <cell-element>
# type: string
# elements: 1
# length: 399
 -- Function File:  gtext (S)
 -- Function File:  gtext ({S1; S2; ...})
 -- Function File:  gtext (..., PROP, VAL)
     Place text on the current figure using the mouse.  The text is defined by the string S.  If S is a cell array, each element of the cell array is written to a separate line.  Additional arguments are passed to the underlying text object as properties.  See also: ginput, text.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 49
Place text on the current figure using the mouse.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
spinmap
# name: <cell-element>
# type: string
# elements: 1
# length: 302
 -- Function File:  spinmap (T, INC)
     Cycle the colormap for T seconds with an increment of INC.  Both parameters are optional.  The default cycle time is 5 seconds and the default increment is 2.

     A higher value of INC causes a faster cycle through the colormap.  See also: gca, colorbar.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 58
Cycle the colormap for T seconds with an increment of INC.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
ishold
# name: <cell-element>
# type: string
# elements: 1
# length: 173
 -- Function File:  ishold
     Return true if the next line will be added to the current plot, or false if the plot device will be cleared before drawing the next line.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 137
Return true if the next line will be added to the current plot, or false if the plot device will be cleared before drawing the next line.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
diffuse
# name: <cell-element>
# type: string
# elements: 1
# length: 341
 -- Function File:  diffuse (SX, SY, SZ, L)
     Calculate diffuse reflection strength of a surface defined by the normal vector elements SX, SY, SZ.  The light vector can be specified using parameter L.  It can be given as 2-element vector [azimuth, elevation] in degrees or as 3-element vector [lx, ly, lz].  See also: specular, surfl.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 100
Calculate diffuse reflection strength of a surface defined by the normal vector elements SX, SY, SZ.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
semilogy
# name: <cell-element>
# type: string
# elements: 1
# length: 239
 -- Function File:  semilogy (ARGS)
     Produce a two-dimensional plot using a log scale for the Y axis.  See the description of `plot' for a description of the arguments that `semilogy' will accept.  See also: plot, semilogx, loglog.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 64
Produce a two-dimensional plot using a log scale for the Y axis.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
figure
# name: <cell-element>
# type: string
# elements: 1
# length: 314
 -- Function File:  figure (N)
 -- Function File:  figure (N, PROPERTY, VALUE, ...)
     Set the current plot window to plot window N.  If no arguments are specified, the next available window number is chosen.

     Multiple property-value pairs may be specified for the figure, but they must appear in pairs.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 45
Set the current plot window to plot window N.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
stem3
# name: <cell-element>
# type: string
# elements: 1
# length: 542
 -- Function File: H = stem3 (X, Y, Z, LINESPEC)
     Plot a three-dimensional stem graph and return the handles of the line and marker objects used to draw the stems as "stem series" object.  The default color is `"r"' (red).  The default line style is `"-"' and the default marker is `"o"'.

     For example,
          theta = 0:0.2:6;
          stem3 (cos (theta), sin (theta), theta)

     plots 31 stems with heights from 0 to 6 lying on a circle.  Color definitions with rgb-triples are not valid!  See also: bar, barh, stem, plot.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 137
Plot a three-dimensional stem graph and return the handles of the line and marker objects used to draw the stems as "stem series" object.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
zlabel
# name: <cell-element>
# type: string
# elements: 1
# length: 102
 -- Function File:  zlabel (STRING)
 -- Function File:  zlabel (H, STRING)
     See also: xlabel..
   
# name: <cell-element>
# type: string
# elements: 1
# length: 17
See also: xlabel.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
print
# name: <cell-element>
# type: string
# elements: 1
# length: 4534
 -- Function File:  print ()
 -- Function File:  print (OPTIONS)
 -- Function File:  print (FILENAME, OPTIONS)
 -- Function File:  print (H, FILENAME, OPTIONS)
     Print a graph, or save it to a file

     FILENAME defines the file name of the output file.  If no filename is specified, the output is sent to the printer.

     H specifies the figure handle.  If no handle is specified the handle for the current figure is used.

     OPTIONS:
    `-PPRINTER'
          Set the PRINTER name to which the graph is sent if no FILENAME is specified.

    `-GGHOSTSCRIPT_COMMAND'
          Specify the command for calling Ghostscript.  For Unix and Windows, the defaults are 'gs' and 'gswin32c', respectively.

    `-color'
    `-mono'
          Monochrome or color lines.

    `-solid'
    `-dashed'
          Solid or dashed lines.

    `-portrait'
    `-landscape'
          Specify the orientation of the plot for printed output.

    `-dDEVICE'
          Output device, where DEVICE is one of:
         `ps'
         `ps2'
         `psc'
         `psc2'
               Postscript (level 1 and 2, mono and color)

         `eps'
         `eps2'
         `epsc'
         `epsc2'
               Encapsulated postscript (level 1 and 2, mono and color)

         `tex'
         `epslatex'
         `epslatexstandalone'
         `pstex'
         `pslatex'
               Generate a LaTeX (or TeX) file for labels, and eps/ps for graphics.  The file produced by `epslatexstandalone' can be processed directly by LaTeX.  The other formats are intended to be included in a LaTeX (or TeX) document.  The `tex' device is the same as the `epslatex' device.

         `ill'
         `aifm'
               Adobe Illustrator

         `cdr'
         `corel'
               CorelDraw

         `dxf'
               AutoCAD

         `emf'
         `meta'
               Microsoft Enhanced Metafile

         `fig'
               XFig.  If this format is selected the additional options `-textspecial' or `-textnormal' can be used to control     whether the special flag should be set for the text in     the figure (default is `-textnormal').

         `hpgl'
               HP plotter language

         `mf'
               Metafont

         `png'
               Portable network graphics

         `jpg'
         `jpeg'
               JPEG image

         `gif'
               GIF image

         `pbm'
               PBMplus

         `svg'
               Scalable vector graphics

         `pdf'
               Portable document format

          If the device is omitted, it is inferred from the file extension, or if there is no filename it is sent to the printer as postscript.

    `-dGS_DEVICE'
          Additional devices are supported by Ghostscript.  Some examples are;

         `ljet2p'
               HP LaserJet IIP

         `ljet3'
               HP LaserJet III

         `deskjet'
               HP DeskJet and DeskJet Plus

         `cdj550'
               HP DeskJet 550C

         `paintjet'
               HP PointJet

         `pcx24b'
               24-bit color PCX file format

         `ppm'
               Portable Pixel Map file format

          For a complete list, type `system ("gs -h")' to see what formats and devices are available.

          When the ghostscript is sent to a printer the size is determined by the figure's "papersize" property.  When the ghostscript output is sent to a file the size is determined by the figure's "paperposition" property.

    `-rNUM'
          Resolution of bitmaps in pixels per inch.  For both metafiles and SVG the default is the screen resolution, for other it is 150 dpi.  To specify screen resolution, use "-r0".

    `-tight'
          Forces a tight bounding box for eps-files.  Since the ghostscript devices are conversion of an eps-file, this option works the those devices as well.

    `-SXSIZE,YSIZE'
          Plot size in pixels for EMF, GIF, JPEG, PBM, PNG and SVG.  If using the command form of the print function, you must quote the XSIZE,YSIZE option.  For example, by writing `"-S640,480"'.  The size defaults to that specified by the figure's paperposition property.

    `-FFONTNAME'
    `-FFONTNAME:SIZE'
    `-F:SIZE'
          FONTNAME set the postscript font (for use with postscript, aifm, corel and fig).  By default, 'Helvetica' is set for PS/Aifm, and 'SwitzerlandLight' for Corel.  It can also be 'Times-Roman'.  SIZE is given in points.  FONTNAME is ignored for the fig device.

     The filename and options can be given in any order.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 36
Print a graph, or save it to a file 

# name: <cell-element>
# type: string
# elements: 1
# length: 10
plotmatrix
# name: <cell-element>
# type: string
# elements: 1
# length: 1351
 -- Function File:  plotmatrix (X, Y)
 -- Function File:  plotmatrix (X)
 -- Function File:  plotmatrix (..., STYLE)
 -- Function File:  plotmatrix (H, ...)
 -- Function File: [H, AX, BIGAX, P, PAX] = plotmatrix (...)
     Scatter plot of the columns of one matrix against another.  Given the arguments X and Y, that have a matching number of rows, `plotmatrix' plots a set of axes corresponding to

          plot (X (:, i), Y (:, j)

     Given a single argument X, then this is equivalent to

          plotmatrix (X, X)

     except that the diagonal of the set of axes will be replaced with the histogram `hist (X (:, i))'.

     The marker to use can be changed with the STYLE argument, that is a string defining a marker in the same manner as the `plot' command.  If a leading axes handle H is passed to `plotmatrix', then this axis will be used for the plot.

     The optional return value H provides handles to the individual graphics objects in the scatter plots, whereas AX returns the handles to the scatter plot axis objects.  BIGAX is a hidden axis object that surrounds the other axes, such that the commands `xlabel', `title', etc., will be associated with this hidden axis.  Finally P returns the graphics objects associated with the histogram and PAX the corresponding axes objects.

          plotmatrix (randn (100, 3), 'g+')

   
# name: <cell-element>
# type: string
# elements: 1
# length: 58
Scatter plot of the columns of one matrix against another.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
fill
# name: <cell-element>
# type: string
# elements: 1
# length: 279
 -- Function File:  fill (X, Y, C)
 -- Function File:  fill (X1, Y1, C1, X2, Y2, C2)
 -- Function File:  fill (..., PROP, VAL)
 -- Function File:  fill (H, ...)
 -- Function File: H = fill (...)
     Create one or more filled patch objects, returning a patch object for each.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 75
Create one or more filled patch objects, returning a patch object for each.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
cylinder
# name: <cell-element>
# type: string
# elements: 1
# length: 787
 -- Function File:  cylinder
 -- Function File:  cylinder (R)
 -- Function File:  cylinder (R, N)
 -- Function File: [X, Y, Z] = cylinder (...)
 -- Function File:  cylinder (AX, ...)
     Generates three matrices in `meshgrid' format, such that `surf (X, Y, Z)' generates a unit cylinder.  The matrices are of size `N+1'-by-`N+1'.  R is a vector containing the radius along the z-axis.  If N or R are omitted then default values of 20 or [1 1] are assumed.

     Called with no return arguments, `cylinder' calls directly `surf (X, Y, Z)'.  If an axes handle AX is passed as the first argument, the surface is plotted to this set of axes.

     Examples:
          disp ("plotting a cone")
          [x, y, z] = cylinder (10:-1:0,50);
          surf (x, y, z);
     See also: sphere.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 100
Generates three matrices in `meshgrid' format, such that `surf (X, Y, Z)' generates a unit cylinder.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
meshc
# name: <cell-element>
# type: string
# elements: 1
# length: 386
 -- Function File:  meshc (X, Y, Z)
     Plot a mesh and contour given matrices X, and Y from `meshgrid' and a matrix Z corresponding to the X and Y coordinates of the mesh.  If X and Y are vectors, then a typical vertex is (X(j), Y(i), Z(i,j)).  Thus, columns of Z correspond to different X values and rows of Z correspond to different Y values.  See also: meshgrid, mesh, contour.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 132
Plot a mesh and contour given matrices X, and Y from `meshgrid' and a matrix Z corresponding to the X and Y coordinates of the mesh.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
box
# name: <cell-element>
# type: string
# elements: 1
# length: 237
 -- Function File:  box (ARG)
 -- Function File:  box (H, ...)
     Control the display of a border around the plot.  The argument may be either `"on"' or `"off"'.  If it is omitted, the current box state is toggled.  See also: grid.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 48
Control the display of a border around the plot.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
gcbf
# name: <cell-element>
# type: string
# elements: 1
# length: 323
 -- Function File: FIG = gcbf ()
     Return a handle to the figure containing the object whose callback is currently executing.  If no callback is executing, this function returns the empty matrix.  The handle returned by this function is the same as the second output argument of gcbo.

     See also: gcf, gca, gcbo.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 90
Return a handle to the figure containing the object whose callback is currently executing.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
compass
# name: <cell-element>
# type: string
# elements: 1
# length: 760
 -- Function File:  compass (U, V)
 -- Function File:  compass (Z)
 -- Function File:  compass (..., STYLE)
 -- Function File:  compass (H, ...)
 -- Function File: H = compass (...)
     Plot the `(U, V)' components of a vector field emanating from the origin of a polar plot.  If a single complex argument Z is given, then `U = real (Z)' and `V = imag (Z)'.

     The style to use for the plot can be defined with a line style STYLE in a similar manner to the line styles used with the `plot' command.

     The optional return value H provides a list of handles to the the parts of the vector field (body, arrow and marker).

          a = toeplitz([1;randn(9,1)],[1,randn(1,9)]);
          compass (eig (a))

     See also: plot, polar, quiver, feather.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 89
Plot the `(U, V)' components of a vector field emanating from the origin of a polar plot.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
loglog
# name: <cell-element>
# type: string
# elements: 1
# length: 235
 -- Function File:  loglog (ARGS)
     Produce a two-dimensional plot using log scales for both axes.  See the description of `plot' for a description of the arguments that `loglog' will accept.  See also: plot, semilogx, semilogy.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 62
Produce a two-dimensional plot using log scales for both axes.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
meshgrid
# name: <cell-element>
# type: string
# elements: 1
# length: 599
 -- Function File: [XX, YY, ZZ] = meshgrid (X, Y, Z)
 -- Function File: [XX, YY] = meshgrid (X, Y)
 -- Function File: [XX, YY] = meshgrid (X)
     Given vectors of X and Y and Z coordinates, and returning 3 arguments, return three-dimensional arrays corresponding to the X, Y, and Z coordinates of a mesh.  When returning only 2 arguments, return matrices corresponding to the X and Y coordinates of a mesh.  The rows of XX are copies of X, and the columns of YY are copies of Y.  If Y is omitted, then it is assumed to be the same as X, and Z is assumed the same as Y.  See also: mesh, contour.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 158
Given vectors of X and Y and Z coordinates, and returning 3 arguments, return three-dimensional arrays corresponding to the X, Y, and Z coordinates of a mesh.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
ndgrid
# name: <cell-element>
# type: string
# elements: 1
# length: 522
 -- Function File: [Y1, Y2, ...,  Yn] = ndgrid (X1, X2, ..., Xn)
 -- Function File: [Y1, Y2, ...,  Yn] = ndgrid (X)
     Given n vectors X1, ... Xn, `ndgrid' returns n arrays of dimension n. The elements of the i-th output argument contains the elements of the vector Xi repeated over all dimensions different from the i-th dimension.  Calling ndgrid with only one input argument X is equivalent of calling ndgrid with all n input arguments equal to X:

     [Y1, Y2, ...,  Yn] = ndgrid (X, ..., X) See also: meshgrid.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 21
Given n vectors X1, .

# name: <cell-element>
# type: string
# elements: 1
# length: 4
hist
# name: <cell-element>
# type: string
# elements: 1
# length: 859
 -- Function File:  hist (Y, X, NORM)
     Produce histogram counts or plots.

     With one vector input argument, plot a histogram of the values with 10 bins.  The range of the histogram bins is determined by the range of the data.  With one matrix input argument, plot a histogram where each bin contains a bar per input column.

     Given a second scalar argument, use that as the number of bins.

     Given a second vector argument, use that as the centers of the bins, with the width of the bins determined from the adjacent values in the vector.

     If third argument is provided, the histogram is normalized such that the sum of the bars is equal to NORM.

     Extreme values are lumped in the first and last bins.

     With two output arguments, produce the values NN and XX such that `bar (XX, NN)' will plot the histogram.  See also: bar.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
Produce histogram counts or plots.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
errorbar
# name: <cell-element>
# type: string
# elements: 1
# length: 2097
 -- Function File:  errorbar (ARGS)
     This function produces two-dimensional plots with errorbars.  Many different combinations of arguments are possible.  The simplest form is

          errorbar (Y, EY)

     where the first argument is taken as the set of Y coordinates and the second argument EY is taken as the errors of the Y values.  X coordinates are taken to be the indices of the elements, starting with 1.

     If more than two arguments are given, they are interpreted as

          errorbar (X, Y, ..., FMT, ...)

     where after X and Y there can be up to four error parameters such as EY, EX, LY, UY, etc., depending on the plot type.  Any number of argument sets may appear, as long as they are separated with a format string FMT.

     If Y is a matrix, X and error parameters must also be matrices having same dimensions.  The columns of Y are plotted versus the corresponding columns of X and errorbars are drawn from the corresponding columns of error parameters.

     If FMT is missing, yerrorbars ("~") plot style is assumed.

     If the FMT argument is supplied, it is interpreted as in normal plots.  In addition the following plot styles are supported by errorbar:

    `~'
          Set yerrorbars plot style (default).

    `>'
          Set xerrorbars plot style.

    `~>'
          Set xyerrorbars plot style.

    `#'
          Set boxes plot style.

    `#~'
          Set boxerrorbars plot style.

    `#~>'
          Set boxxyerrorbars plot style.

     Examples:

          errorbar (X, Y, EX, ">")

     produces an xerrorbar plot of Y versus X with X errorbars drawn from X-EX to X+EX.

          errorbar (X, Y1, EY, "~",
                    X, Y2, LY, UY)

     produces yerrorbar plots with Y1 and Y2 versus X.  Errorbars for Y1 are drawn from Y1-EY to Y1+EY, errorbars for Y2 from Y2-LY to Y2+UY.

          errorbar (X, Y, LX, UX,
                    LY, UY, "~>")

     produces an xyerrorbar plot of Y versus X in which X errorbars are drawn from X-LX to X+UX and Y errorbars from Y-LY to Y+UY.  See also: semilogxerr, semilogyerr, loglogerr.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 60
This function produces two-dimensional plots with errorbars.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
zlim
# name: <cell-element>
# type: string
# elements: 1
# length: 771
 -- Function File: XL = zlim ()
 -- Function File:  zlim (XL)
 -- Function File: M = zlim ('mode')
 -- Function File:  zlim (M)
 -- Function File:  zlim (H, ...)
     Get or set the limits of the z-axis of the current plot.  Called without arguments `zlim' returns the z-axis limits of the current plot.  If passed a two element vector XL, the limits of the z-axis are set to this value.

     The current mode for calculation of the z-axis can be returned with a call `zlim ('mode')', and can be either 'auto' or 'manual'.  The current plotting mode can be set by passing either 'auto' or 'manual' as the argument.

     If passed an handle as the first argument, then operate on this handle rather than the current axes handle.  See also: xlim, ylim, set, get, gca.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 56
Get or set the limits of the z-axis of the current plot.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
ishghandle
# name: <cell-element>
# type: string
# elements: 1
# length: 102
 -- Function File:  ishghandle (H)
     Return true if H is a graphics handle and false otherwise.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 58
Return true if H is a graphics handle and false otherwise.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
contour3
# name: <cell-element>
# type: string
# elements: 1
# length: 1119
 -- Function File:  contour3 (Z)
 -- Function File:  contour3 (Z, VN)
 -- Function File:  contour3 (X, Y, Z)
 -- Function File:  contour3 (X, Y, Z, VN)
 -- Function File:  contour3 (..., STYLE)
 -- Function File:  contour3 (H, ...)
 -- Function File: [C, H] = contour3 (...)
     Plot level curves (contour lines) of the matrix Z, using the contour matrix C computed by `contourc' from the same arguments; see the latter for their interpretation.  The contours are plotted at the Z level corresponding to their contour.  The set of contour levels, C, is only returned if requested.  For example:

          contour3 (peaks (19));
          hold on
          surface (peaks (19), "facecolor", "none", "EdgeColor", "black")
          colormap hot

     The style to use for the plot can be defined with a line style STYLE in a similar manner to the line styles used with the `plot' command.  Any markers defined by STYLE are ignored.

     The optional input and output argument H allows an axis handle to be passed to `contour' and the handles to the contour objects to be returned.  See also: contourc, patch, plot.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 166
Plot level curves (contour lines) of the matrix Z, using the contour matrix C computed by `contourc' from the same arguments; see the latter for their interpretation.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
stairs
# name: <cell-element>
# type: string
# elements: 1
# length: 721
 -- Function File:  stairs (X, Y)
 -- Function File:  stairs (..., STYLE)
 -- Function File:  stairs (..., PROP, VAL)
 -- Function File:  stairs (H, ...)
 -- Function File: H = stairs (...)
     Produce a stairstep plot.  The arguments may be vectors or matrices.

     If only one argument is given, it is taken as a vector of y-values and the x coordinates are taken to be the indices of the elements.

     If two output arguments are specified, the data are generated but not plotted.  For example,

          stairs (x, y);

     and

          [xs, ys] = stairs (x, y);
          plot (xs, ys);

     are equivalent.  See also: plot, semilogx, semilogy, loglog, polar, mesh, contour, bar, xlabel, ylabel, title.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 25
Produce a stairstep plot.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
close
# name: <cell-element>
# type: string
# elements: 1
# length: 284
 -- Command:  close
 -- Command:  close (N)
 -- Command:  close all
 -- Command:  close all hidden
     Close figure window(s) by calling the function specified by the `"closerequestfcn"' property for each figure.  By default, the function `closereq' is used.  See also: closereq.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 109
Close figure window(s) by calling the function specified by the `"closerequestfcn"' property for each figure.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
axes
# name: <cell-element>
# type: string
# elements: 1
# length: 162
 -- Function File:  axes ()
 -- Function File:  axes (PROPERTY, VALUE, ...)
 -- Function File:  axes (H)
     Create an axes object and return a handle to it.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 48
Create an axes object and return a handle to it.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
colorbar
# name: <cell-element>
# type: string
# elements: 1
# length: 933
 -- Function File:  colorbar (S)
 -- Function File:  colorbar ("peer", H, ...)
     Adds a colorbar to the current axes.  Valid values for S are

    "EastOutside"
          Place the colorbar outside the plot to the right.  This is the default.

    "East"
          Place the colorbar inside the plot to the right.

    "WestOutside"
          Place the colorbar outside the plot to the left.

    "West"
          Place the colorbar inside the plot to the left.

    "NorthOutside"
          Place the colorbar above the plot.

    "North"
          Place the colorbar at the top of the plot.

    "SouthOutside"
          Place the colorbar under the plot.

    "South"
          Place the colorbar at the bottom of the plot.

    "Off", "None"
          Remove any existing colorbar from the plot.

     If the argument "peer" is given, then the following argument is treated as the axes handle on which to add the colorbar.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 36
Adds a colorbar to the current axes.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
shading
# name: <cell-element>
# type: string
# elements: 1
# length: 494
 -- Function File:  shading (TYPE)
 -- Function File:  shading (AX, ...)
     Set the shading of surface or patch graphic objects.  Valid arguments for TYPE are

    `"flat"'
          Single colored patches with invisible edges.

    `"faceted"'
          Single colored patches with visible edges.

    `"interp"'
          Color between patch vertices are interpolated and the patch edges are invisible.

     If AX is given the shading is applied to axis AX instead of the current axis.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 52
Set the shading of surface or patch graphic objects.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
contourf
# name: <cell-element>
# type: string
# elements: 1
# length: 1326
 -- Function File: [C, H] = contourf (X, Y, Z, LVL)
 -- Function File: [C, H] = contourf (X, Y, Z, N)
 -- Function File: [C, H] = contourf (X, Y, Z)
 -- Function File: [C, H] = contourf (Z, N)
 -- Function File: [C, H] = contourf (Z, LVL)
 -- Function File: [C, H] = contourf (Z)
 -- Function File: [C, H] = contourf (AX, ...)
 -- Function File: [C, H] = contourf (..., "PROPERTY", VAL)
     Compute and plot filled contours of the matrix Z.  Parameters X, Y and N or LVL are optional.

     The return value C is a 2xn matrix containing the contour lines as described in the help to the contourc function.

     The return value H is handle-vector to the patch objects creating the filled contours.

     If X and Y are omitted they are taken as the row/column index of Z.  N is a scalar denoting the number of lines to compute.  Alternatively LVL is a vector containing the contour levels.  If only one value (e.g., lvl0) is wanted, set LVL to [lvl0, lvl0].  If both N or LVL are omitted a default value of 10 contour level is assumed.

     If provided, the filled contours are added to the axes object AX instead of the current axis.

     The following example plots filled contours of the `peaks' function.
          [x, y, z] = peaks (50);
          contourf (x, y, z, -7:9)
     See also: contour, contourc, patch.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 49
Compute and plot filled contours of the matrix Z.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
replot
# name: <cell-element>
# type: string
# elements: 1
# length: 63
 -- Function File:  replot ()
     Refresh the plot window.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 24
Refresh the plot window.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
hold
# name: <cell-element>
# type: string
# elements: 1
# length: 757
 -- Function File:  hold
 -- Function File:  hold STATE
 -- Function File:  hold (HAX, ...)
     Toggle or set the 'hold' state of the plotting engine which determines whether new graphic objects are added to the plot or replace the existing objects.

    `hold on'
          Retain plot data and settings so that subsequent plot commands are displayed on a single graph.

    `hold off'
          Clear plot and restore default graphics settings before each new plot command.  (default).

    `hold'
          Toggle the current 'hold' state.

     When given the additional argument HAX, the hold state is modified only for the given axis handle.

     To query the current 'hold' state use the `ishold' function.  See also: ishold, cla, newplot, clf.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 153
Toggle or set the 'hold' state of the plotting engine which determines whether new graphic objects are added to the plot or replace the existing objects.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
slice
# name: <cell-element>
# type: string
# elements: 1
# length: 1741
 -- Function File:  slice (X, Y, Z, V, SX, SY, SZ)
 -- Function File:  slice (X, Y, Z, V, XI, YI, ZI)
 -- Function File:  slice (V, SX, SY, SZ)
 -- Function File:  slice (V, XI, YI, ZI)
 -- Function File: H = slice (...)
 -- Function File: H = slice (..., METHOD)
     Plot slices of 3D data/scalar fields.  Each element of the 3-dimensional array V represents a scalar value at a location given by the parameters X, Y, and Z.  The parameters X, X, and Z are either 3-dimensional arrays of the same size as the array V in the "meshgrid" format or vectors.  The parameters XI, etc. respect a similar format to X, etc., and they represent the points at which the array VI is interpolated using interp3.  The vectors SX, SY, and SZ contain points of orthogonal slices of the respective axes.

     If X, Y, Z are omitted, they are assumed to be `x = 1:size (V, 2)', `y = 1:size (V, 1)' and `z = 1:size (V, 3)'.

     METHOD is one of:

    `"nearest"'
          Return the nearest neighbor.

    `"linear"'
          Linear interpolation from nearest neighbors.

    `"cubic"'
          Cubic interpolation from four nearest neighbors (not implemented yet).

    `"spline"'
          Cubic spline interpolation--smooth first and second derivatives throughout the curve.

     The default method is `"linear"'.  The optional return value H is a vector of handles to the surface graphic objects.

     Examples:
          [x, y, z] = meshgrid (linspace (-8, 8, 32));
          v = sin (sqrt (x.^2 + y.^2 + z.^2)) ./ (sqrt (x.^2 + y.^2 + z.^2));
          slice (x, y, z, v, [], 0, []);
          [xi, yi] = meshgrid (linspace (-7, 7));
          zi = xi + yi;
          slice (x, y, z, v, xi, yi, zi);
     See also: interp3, surface, pcolor.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 37
Plot slices of 3D data/scalar fields.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
linkprop
# name: <cell-element>
# type: string
# elements: 1
# length: 620
 -- Function File: HLINK = linkprop (H, PROP)
     Links graphics object properties, such that a change in one is propagated to the others.  The properties to link are given as a string of cell string array by PROP and the objects containing these properties by the handle array H.

     An example of the use of linkprops is

          x = 0:0.1:10;
          subplot (1, 2, 1);
          h1 = plot (x, sin (x));
          subplot (1, 2, 2);
          h2 = plot (x, cos (x));
          hlink = linkprop ([h1, h2], {"color","linestyle"});
          set (h1, "color", "green");
          set (h2, "linestyle", "--");

   
# name: <cell-element>
# type: string
# elements: 1
# length: 88
Links graphics object properties, such that a change in one is propagated to the others.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
unpack
# name: <cell-element>
# type: string
# elements: 1
# length: 558
 -- Function File: FILES = unpack (FILE, DIR)
 -- Function File: FILES = unpack (FILE, DIR, FILETYPE)
     Unpack the archive FILE based on its extension to the directory DIR.  If FILE is a cellstr, then all files will be handled individually.  If DIR is not specified, it defaults to the current directory.  It returns a list of FILES unpacked.  If a directory is in the file list, then the FILETYPE to unpack must also be specified.

     The FILES includes the entire path to the output files.  See also: bunzip2, tar, untar, gzip, gunzip, zip, unzip.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 68
Unpack the archive FILE based on its extension to the directory DIR.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
orderfields
# name: <cell-element>
# type: string
# elements: 1
# length: 484
 -- Function File: [T, P] = orderfields (S1, S2)
     Return a struct with fields arranged alphabetically or as specified by S2 and a corresponding permutation vector.

     Given one struct, arrange field names in S1 alphabetically.

     Given two structs, arrange field names in S1 as they appear in S2.  The second argument may also specify the order in a permutation vector or a cell array of strings.

     See also: getfield, rmfield, isfield, isstruct, fieldnames, struct.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 113
Return a struct with fields arranged alphabetically or as specified by S2 and a corresponding permutation vector.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
movefile
# name: <cell-element>
# type: string
# elements: 1
# length: 438
 -- Function File: [STATUS, MSG, MSGID] = movefile (F1, F2)
     Move the file F1 to the new name F2.  The name F1 may contain globbing patterns.  If F1 expands to multiple file names, F2 must be a directory.

     If successful, STATUS is 1, with MSG and MSGID empty\n\ character strings.  Otherwise, STATUS is 0, MSG contains a\n\ system-dependent error message, and MSGID contains a unique\n\ message identifier.\n\ See also: glob.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 36
Move the file F1 to the new name F2.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
tempname
# name: <cell-element>
# type: string
# elements: 1
# length: 90
 -- Function File: filename = tempname ()
     This function is an alias for `tmpnam'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 39
This function is an alias for `tmpnam'.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
unzip
# name: <cell-element>
# type: string
# elements: 1
# length: 225
 -- Function File:  unzip (ZIPFILE, DIR)
     Unpack the ZIP archive ZIPFILE to the directory DIR.  If DIR is not specified, it defaults to the current directory.  See also: unpack, bunzip2, tar, untar, gzip, gunzip, zip.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 52
Unpack the ZIP archive ZIPFILE to the directory DIR.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
perl
# name: <cell-element>
# type: string
# elements: 1
# length: 292
 -- Function File: [OUTPUT, STATUS] = perl (SCRIPTFILE)
 -- Function File: [OUTPUT, STATUS] = perl (SCRIPTFILE, ARGUMENT1, ARGUMENT2, ...)
     Invoke perl script SCRIPTFILE with possibly a list of command line arguments.  Returns output in OUTPUT and status in STATUS.  See also: system.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 77
Invoke perl script SCRIPTFILE with possibly a list of command line arguments.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
ispc
# name: <cell-element>
# type: string
# elements: 1
# length: 129
 -- Function File:  ispc ()
     Return 1 if Octave is running on a Windows system and 0 otherwise.  See also: ismac, isunix.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 66
Return 1 if Octave is running on a Windows system and 0 otherwise.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
debug
# name: <cell-element>
# type: string
# elements: 1
# length: 1567
 -- Function File:  debug ()
     Summary of the debugging commands.  The debugging commands that are available in Octave are

    `keyboard'
          Force entry into debug mode.

    `dbstop'
          Add a breakpoint.

    `dbclear'
          Remove a breakpoint.

    `dbstatus'
          List all breakpoints.

    `dbcont'
          Continue execution from the debug prompt.

    `dbstack'
          Print a backtrace of the execution stack.

    `dbstep'
          Execute one or more lines and re-enter debug mode

    `dbtype'
          List the function where execution is currently stopped, enumerating the lines.

    `dbup'
          The workspace up the execution stack.

    `dbdown'
          The workspace down the execution stack.

    `dbquit'
          Quit debugging mode and return to the main prompt.

    `debug_on_error'
          Flag whether to enter debug mode in case Octave encounters an error.

    `debug_on_warning'
          Flag whether to enter debug mode in case Octave encounters a warning.

    `debug_on_interrupt'
          Flag whether to enter debug mode in case Octave encounters an interupt.


     when Octave encounters a breakpoint or other reason to enter debug mode, the prompt changes to `"debug>"'.  The workspace of the function where the breakpoint was encountered becomes available and any Octave command that works within that workspace may be executed.

     See also: dbstop, dbclear, dbstatus, dbcont, dbstack, dbstep, dbtype, dbup, dbdown, dbquit, debug_on_error, debug_on_warning, debug_on_interrupt.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
Summary of the debugging commands.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
tar
# name: <cell-element>
# type: string
# elements: 1
# length: 413
 -- Function File: ENTRIES = tar (TARFILE, FILES, ROOT)
     Pack FILES FILES into the TAR archive TARFILE.  The list of files must be a string or a cell array of strings.

     The optional argument ROOT changes the relative path of FILES from the current directory.

     If an output argument is requested the entries in the archive are returned in a cell array.  See also: untar, gzip, gunzip, zip, unzip.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 46
Pack FILES FILES into the TAR archive TARFILE.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
dir
# name: <cell-element>
# type: string
# elements: 1
# length: 864
 -- Function File:  dir (DIRECTORY)
 -- Function File: [LIST] = dir (DIRECTORY)
     Display file listing for directory DIRECTORY.  If a return value is requested, return a structure array with the fields

          name
          bytes
          date
          isdir
          statinfo

     in which `statinfo' is the structure returned from `stat'.

     If DIRECTORY is not a directory, return information about the named FILENAME.  DIRECTORY may be a list of directories specified either by name or with wildcard characters (like * and ?)  which will be expanded with glob.

     Note that for symbolic links, `dir' returns information about the file that a symbolic link points to instead of the link itself.  However, if the link points to a nonexistent file, `dir' returns information about the link.  See also: ls, stat, lstat, readdir, glob, filesep.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 45
Display file listing for directory DIRECTORY.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
license
# name: <cell-element>
# type: string
# elements: 1
# length: 1080
 -- Function File:  license
     Display the license of Octave.

 -- Function File:  license ("inuse")
     Display a list of packages currently being used.

 -- Function File: RETVAL = license ("inuse")
     Return a structure containing the fields `feature' and `user'.

 -- Function File: RETVAL = license ("test", FEATURE)
     Return 1 if a license exists for the product identified by the string FEATURE and 0 otherwise.  The argument FEATURE is case insensitive and only the first 27 characters are checked.

 -- Function File:  license ("test", FEATURE, TOGGLE)
     Enable or disable license testing for FEATURE, depending on TOGGLE, which may be one of:

    `"enable"'
          Future tests for the specified license of FEATURE are conducted as usual.

    `"disable"'
          Future tests for the specified license of FEATURE return 0.

 -- Function File: RETVAL = license ("checkout", FEATURE)
     Check out a license for FEATURE, returning 1 on success and 0 on failure.

     This function is provided for compatibility with MATLAB.  See also: ver, version.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 73
Check out a license for FEATURE, returning 1 on success and 0 on failure.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
xor
# name: <cell-element>
# type: string
# elements: 1
# length: 215
 -- Mapping Function:  xor (X, Y)
     Return the `exclusive or' of the entries of X and Y.  For boolean expressions X and Y, `xor (X, Y)' is true if and only if X or Y is true, but not if both X and Y are true.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 52
Return the `exclusive or' of the entries of X and Y.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
menu
# name: <cell-element>
# type: string
# elements: 1
# length: 450
 -- Function File:  menu (TITLE, OPT1, ...)
     Print a title string followed by a series of options.  Each option will be printed along with a number.  The return value is the number of the option selected by the user.  This function is useful for interactive programs.  There is no limit to the number of options that may be passed in, but it may be confusing to present more than will fit easily on one screen.  See also: disp, printf, input.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 53
Print a title string followed by a series of options.

# name: <cell-element>
# type: string
# elements: 1
# length: 16
compare_versions
# name: <cell-element>
# type: string
# elements: 1
# length: 1140
 -- Function File:  compare_versions (V1, V2, OPERATOR)
     Compares to version strings using the given OPERATOR.

     This function assumes that versions V1 and V2 are arbitrarily long strings made of numeric and period characters possibly followed by an arbitrary string (e.g., "1.2.3", "0.3", "0.1.2+", or "1.2.3.4-test1").

     The version is first split into the numeric and the character parts then the parts are padded to be the same length (i.e., "1.1" would be padded to be like "1.1.0" when being compared with "1.1.1", and separately, the character parts of the strings are padded with nulls).

     The operator can be any logical operator from the set

        * "==" equal

        * "<" less than

        * "<=" less than or equal to

        * ">" greater than

        * ">=" greater than or equal to

        * "!=" not equal

        * "~=" not equal

     Note that version "1.1-test2" would compare as greater than "1.1-test10".  Also, since the numeric part is compared first, "a" compares less than "1a" because the second string starts with a numeric part even though double("a") is greater than double("1").
   
# name: <cell-element>
# type: string
# elements: 1
# length: 53
Compares to version strings using the given OPERATOR.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
bincoeff
# name: <cell-element>
# type: string
# elements: 1
# length: 505
 -- Mapping Function:  bincoeff (N, K)
     Return the binomial coefficient of N and K, defined as

           /   \
           | n |    n (n-1) (n-2) ... (n-k+1)
           |   |  = -------------------------
           | k |               k!
           \   /

     For example,

          bincoeff (5, 2)
               => 10

     In most cases, the `nchoosek' function is faster for small scalar integer arguments.  It also warns about loss of precision for big arguments.

     See also: nchoosek.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 55
Return the binomial coefficient of N and K, defined as 

# name: <cell-element>
# type: string
# elements: 1
# length: 6
delete
# name: <cell-element>
# type: string
# elements: 1
# length: 258
 -- Function File:  delete (FILE)
 -- Function File:  delete (HANDLE)
     Delete the named file or graphics handle.

     Deleting graphics objects is the proper way to remove features from a plot without clearing the entire figure.  See also: clf, cla.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 41
Delete the named file or graphics handle.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
ans
# name: <cell-element>
# type: string
# elements: 1
# length: 229
 -- Automatic Variable: ans
     The most recently computed result that was not explicitly assigned to a variable.  For example, after the expression

          3^2 + 4^2

     is evaluated, the value returned by `ans' is 25.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 81
The most recently computed result that was not explicitly assigned to a variable.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
list_primes
# name: <cell-element>
# type: string
# elements: 1
# length: 209
 -- Function File:  list_primes (N)
     List the first N primes.  If N is unspecified, the first 25 primes are listed.

     The algorithm used is from page 218 of the TeXbook.  See also: primes, isprime.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 24
List the first N primes.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
comma
# name: <cell-element>
# type: string
# elements: 1
# length: 100
 -- Operator: ,
     Array index, function argument, or command separator.  See also: semicolon.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 53
Array index, function argument, or command separator.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
mkoctfile
# name: <cell-element>
# type: string
# elements: 1
# length: 3026
 -- Function File:  mkoctfile [-options] file ...
     The `mkoctfile' function compiles source code written in C, C++, or Fortran.  Depending on the options used with `mkoctfile', the compiled code can be called within Octave or can be used as a stand-alone application.

     `mkoctfile' can be called from the shell prompt or from the Octave prompt.

     `mkoctfile' accepts the following options, all of which are optional except for the file name of the code you wish to compile:

    `-I DIR'
          Add the include directory DIR to compile commands.

    `-D DEF'
          Add the definition DEF to the compiler call.

    `-l LIB'
          Add the library LIB to the link command.

    `-L DIR'
          Add the library directory DIR to the link command.

    `-M'
    `--depend'
          Generate dependency files (.d) for C and C++ source files.

    `-c'
          Compile but do not link.

    `-g'
          Enable debugging options for compilers.

    `-o FILE'
    `--output FILE'
          Output file name.  Default extension is .oct (or .mex if -mex is specified) unless linking a stand-alone executable.

    `-p VAR'
    `--print VAR'
          Print the configuration variable VAR.  Recognized variables are:

                  ALL_CFLAGS                FFTW_LIBS
                  ALL_CXXFLAGS              FLIBS
                  ALL_FFLAGS                FPICFLAG
                  ALL_LDFLAGS               INCFLAGS
                  BLAS_LIBS                 LDFLAGS
                  CC                        LD_CXX
                  CFLAGS                    LD_STATIC_FLAG
                  CPICFLAG                  LFLAGS
                  CPPFLAGS                  LIBCRUFT
                  CXX                       LIBOCTAVE
                  CXXFLAGS                  LIBOCTINTERP
                  CXXPICFLAG                LIBREADLINE
                  DEPEND_EXTRA_SED_PATTERN  LIBS
                  DEPEND_FLAGS              OCTAVE_LIBS
                  DL_LD                     RDYNAMIC_FLAG
                  DL_LDFLAGS                RLD_FLAG
                  F2C                       SED
                  F2CFLAGS                  XTRA_CFLAGS
                  F77                       XTRA_CXXFLAGS
                  FFLAGS

    `--link-stand-alone'
          Link a stand-alone executable file.

    `--mex'
          Assume we are creating a MEX file.  Set the default output extension to ".mex".

    `-s'
    `--strip'
          Strip the output file.

    `-v'
    `--verbose'
          Echo commands as they are executed.

    `file'
          The file to compile or link.  Recognized file types are

                                 .c    C source
                                 .cc   C++ source
                                 .C    C++ source
                                 .cpp  C++ source
                                 .f    Fortran source
                                 .F    Fortran source
                                 .o    object file


# name: <cell-element>
# type: string
# elements: 1
# length: 76
The `mkoctfile' function compiles source code written in C, C++, or Fortran.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
dump_prefs
# name: <cell-element>
# type: string
# elements: 1
# length: 216
 -- Function File:  dump_prefs (FILE)
     Have Octave dump all the current user preference variables to FILE in a format that can be parsed by Octave later.  If FILE is omitted, the listing is printed to stdout.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 114
Have Octave dump all the current user preference variables to FILE in a format that can be parsed by Octave later.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
untar
# name: <cell-element>
# type: string
# elements: 1
# length: 225
 -- Function File:  untar (TARFILE, DIR)
     Unpack the TAR archive TARFILE to the directory DIR.  If DIR is not specified, it defaults to the current directory.  See also: unpack, bunzip2, tar, gzip, gunzip, zip, unzip.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 52
Unpack the TAR archive TARFILE to the directory DIR.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
fullfile
# name: <cell-element>
# type: string
# elements: 1
# length: 159
 -- Function File: FILENAME = fullfile (DIR1, DIR2, ..., FILE)
     Return a complete filename constructed from the given components.  See also: fileparts.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 65
Return a complete filename constructed from the given components.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
fileattrib
# name: <cell-element>
# type: string
# elements: 1
# length: 1167
 -- Function File: [STATUS, MSG, MSGID] = fileattrib (FILE)
     Return information about FILE.

     If successful, STATUS is 1, with RESULT containing a structure with the following fields:

    `Name'
          Full name of FILE.

    `archive'
          True if FILE is an archive (Windows).

    `system'
          True if FILE is a system file (Windows).

    `hidden'
          True if FILE is a hidden file (Windows).

    `directory'
          True if FILE is a directory.

    `UserRead'
    `GroupRead'
    `OtherRead'
          True if the user (group; other users) has read permission for FILE.

    `UserWrite'
    `GroupWrite'
    `OtherWrite'
          True if the user (group; other users) has write permission for FILE.

    `UserExecute'
    `GroupExecute'
    `OtherExecute'
          True if the user (group; other users) has execute permission for FILE.
     If an attribute does not apply (i.e., archive on a Unix system) then the field is set to NaN.

     With no input arguments, return information about the current directory.

     If FILE contains globbing characters, return information about all the matching files.  See also: glob.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 30
Return information about FILE.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
setfield
# name: <cell-element>
# type: string
# elements: 1
# length: 455
 -- Function File: [K1, ..., V1] = setfield (S, K1, V1, ...)
     Set field members in a structure.

          oo(1,1).f0 = 1;
          oo = setfield (oo, {1,2}, "fd", {3}, "b", 6);
          oo(1,2).fd(3).b == 6
          => ans = 1

     Note that this function could be written

          i1 = {1,2}; i2 = "fd"; i3 = {3}; i4 = "b";
          oo(i1{:}).(i2)(i3{:}).(i4) == 6;
     See also: getfield, rmfield, isfield, isstruct, fieldnames, struct.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 33
Set field members in a structure.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
what
# name: <cell-element>
# type: string
# elements: 1
# length: 325
 -- Command:  what
 -- Command:  what DIR
 -- Function File: w = what (DIR)
     List the Octave specific files in a directory.  If the variable DIR is given then check that directory rather than the current directory.  If a return argument is requested, the files found are returned in the structure W.  See also: which.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 46
List the Octave specific files in a directory.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
computer
# name: <cell-element>
# type: string
# elements: 1
# length: 657
 -- Function File: [C, MAXSIZE, ENDIAN] = computer ()
     Print or return a string of the form CPU-VENDOR-OS that identifies the kind of computer Octave is running on.  If invoked with an output argument, the value is returned instead of printed.  For example,

          computer ()
               -| i586-pc-linux-gnu

          x = computer ()
               => x = "i586-pc-linux-gnu"

     If two output arguments are requested, also return the maximum number of elements for an array.

     If three output arguments are requested, also return the byte order of the current system as a character (`"B"' for big-endian or `"L"' for little-endian).
   
# name: <cell-element>
# type: string
# elements: 1
# length: 109
Print or return a string of the form CPU-VENDOR-OS that identifies the kind of computer Octave is running on.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
ls_command
# name: <cell-element>
# type: string
# elements: 1
# length: 233
 -- Function File: [OLD_CMD = ls_command (CMD)
     Set or return the shell command used by Octave's `ls' command.  The value of CMD must be a character string.  With no arguments, simply return the previous value.  See also: ls.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 62
Set or return the shell command used by Octave's `ls' command.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
flops
# name: <cell-element>
# type: string
# elements: 1
# length: 126
 -- Function File:  flops ()
     This function is provided for MATLAB compatibility, but it doesn't actually do anything.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 88
This function is provided for MATLAB compatibility, but it doesn't actually do anything.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
copyfile
# name: <cell-element>
# type: string
# elements: 1
# length: 535
 -- Function File: [STATUS, MSG, MSGID] = copyfile (F1, F2, FORCE)
     Copy the file F1 to the new name F2.  The name F1 may contain globbing patterns.  If F1 expands to multiple file names, F2 must be a directory.  If FORCE is given and equals the string "f" the copy operation will be forced.

     If successful, STATUS is 1, with MSG and MSGID empty\n\ character strings.  Otherwise, STATUS is 0, MSG contains a\n\ system-dependent error message, and MSGID contains a unique\n\ message identifier.\n\ See also: glob, movefile.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 36
Copy the file F1 to the new name F2.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
zip
# name: <cell-element>
# type: string
# elements: 1
# length: 350
 -- Function File: ENTRIES = zip (ZIPFILE, FILES)
 -- Function File: ENTRIES = zip (ZIPFILE, FILES, ROOTDIR)
     Compress the list of files and/or directories specified in FILES into the archive ZIPFILES in the same directory.  If ROOTDIR is defined the FILES is located relative to ROOTDIR rather than the current directory See also: unzip,tar.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 113
Compress the list of files and/or directories specified in FILES into the archive ZIPFILES in the same directory.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
tempdir
# name: <cell-element>
# type: string
# elements: 1
# length: 107
 -- Function File: DIR = tempdir ()
     Return the name of the system's directory for temporary files.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 62
Return the name of the system's directory for temporary files.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
intwarning
# name: <cell-element>
# type: string
# elements: 1
# length: 1533
 -- Function File:  intwarning (ACTION)
 -- Function File:  intwarning (S)
 -- Function File: S = intwarning (...)
     Control the state of the warning for integer conversions and math operations.

    "query"
          The state of the Octave integer conversion and math warnings is queried.  If there is no output argument, then the state is printed.  Otherwise it is returned in a structure with the fields "identifier" and "state".

               intwarning ("query")
               The state of warning "Octave:int-convert-nan" is "off"
               The state of warning "Octave:int-convert-non-int-val" is "off"
               The state of warning "Octave:int-convert-overflow" is "off"
               The state of warning "Octave:int-math-overflow" is "off"

    "on"
          Turn integer conversion and math warnings "on".  If there is no output argument, then nothing is printed.  Otherwise the original state of the state of the integer conversion and math warnings is returned in a structure array.

    "off"
          Turn integer conversion and math warnings "on".  If there is no output argument, then nothing is printed.  Otherwise the original state of the state of the integer conversion and math warnings is returned in a structure array.

     The original state of the integer warnings can be restored by passing the structure array returned by `intwarning' to a later call to `intwarning'.  For example

          s = intwarning ("off");
          ...
          intwarning (s);
     See also: warning.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 77
Control the state of the warning for integer conversions and math operations.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
semicolon
# name: <cell-element>
# type: string
# elements: 1
# length: 74
 -- Operator: ;
     Array row or command separator.  See also: comma.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 31
Array row or command separator.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
pack
# name: <cell-element>
# type: string
# elements: 1
# length: 130
 -- Function File:  pack ()
     This function is provided for compatibility with MATLAB, but it doesn't actually do anything.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 93
This function is provided for compatibility with MATLAB, but it doesn't actually do anything.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
version
# name: <cell-element>
# type: string
# elements: 1
# length: 150
 -- Function File:  version ()
     Return Octave's version number as a string.  This is also the value of the built-in variable `OCTAVE_VERSION'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 43
Return Octave's version number as a string.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
cast
# name: <cell-element>
# type: string
# elements: 1
# length: 153
 -- Function File:  cast (VAL, TYPE)
     Convert VAL to data type TYPE.  See also: int8, uint8, int16, uint16, int32, uint32, int64, uint64, double.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 30
Convert VAL to data type TYPE.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
bunzip2
# name: <cell-element>
# type: string
# elements: 1
# length: 232
 -- Function File:  bunzip2 (BZFILE, DIR)
     Unpack the bzip2 archive BZFILE to the directory DIR.  If DIR is not specified, it defaults to the current directory.  See also: unpack, bzip2, tar, untar, gzip, gunzip, zip, unzip.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 53
Unpack the bzip2 archive BZFILE to the directory DIR.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
bug_report
# name: <cell-element>
# type: string
# elements: 1
# length: 202
 -- Function File:  bug_report ()
     Have Octave create a bug report template file, invoke your favorite editor, and submit the report to the bug-octave mailing list when you are finished editing.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 159
Have Octave create a bug report template file, invoke your favorite editor, and submit the report to the bug-octave mailing list when you are finished editing.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
isunix
# name: <cell-element>
# type: string
# elements: 1
# length: 131
 -- Function File:  isunix ()
     Return 1 if Octave is running on a Unix-like system and 0 otherwise.  See also: ismac, ispc.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 68
Return 1 if Octave is running on a Unix-like system and 0 otherwise.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
getfield
# name: <cell-element>
# type: string
# elements: 1
# length: 461
 -- Function File: [V1, ...] = getfield (S, KEY, ...)
     Extract fields from a structure.  For example

          ss(1,2).fd(3).b = 5;
          getfield (ss, {1,2}, "fd", {3}, "b")
          => ans = 5

     Note that the function call in the previous example is equivalent to the expression

          i1 = {1,2}; i2 = "fd"; i3 = {3}; i4= "b";
          ss(i1{:}).(i2)(i3{:}).(i4)
     See also: setfield, rmfield, isfield, isstruct, fieldnames, struct.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 32
Extract fields from a structure.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
ver
# name: <cell-element>
# type: string
# elements: 1
# length: 788
 -- Function File:  ver ()
     Display a header containing the current Octave version number, license string and operating system, followed by the installed package names, versions, and installation directories.

 -- Function File: v = ver ()
     Return a vector of structures, respecting Octave and each installed package.  The structure includes the following fields.

    `Name'
          Package name.

    `Version'
          Version of the package.

    `Revision'
          Revision of the package.

    `Date'
          Date respecting the version/revision.

 -- Function File: v = ver (`"Octave"')
     Return version information for Octave only..

 -- Function File: v = ver (PKG)
     Return version information for the specified package PKG.  See also: license, version.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 57
Return version information for the specified package PKG.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
news
# name: <cell-element>
# type: string
# elements: 1
# length: 78
 -- Function File:  news ()
     Display the current NEWS file for Octave.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 41
Display the current NEWS file for Octave.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
gzip
# name: <cell-element>
# type: string
# elements: 1
# length: 467
 -- Function File: ENTRIES = gzip (FILES)
 -- Function File: ENTRIES = gzip (FILES, OUTDIR)
     Compress the list of files and/or directories specified in FILES.  Each file is compressed separately and a new file with a '.gz' extension is created.  The original files are not touched.  Existing compressed files are silently overwritten.  If OUTDIR is defined the compressed versions of the files are placed in this directory.  See also: gunzip, bzip2, zip, tar.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 65
Compress the list of files and/or directories specified in FILES.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
parseparams
# name: <cell-element>
# type: string
# elements: 1
# length: 643
 -- Function File: [REG, PROP] = parseparams (PARAMS)
     Return in REG the cell elements of PARAM up to the first string element and in PROP all remaining elements beginning with the first string element.  For example

          [reg, prop] = parseparams ({1, 2, "linewidth", 10})
          reg =
          {
            [1,1] = 1
            [1,2] = 2
          }
          prop =
          {
            [1,1] = linewidth
            [1,2] = 10
          }

     The parseparams function may be used to separate 'regular' arguments and additional arguments given as property/value pairs of the VARARGIN cell array.  See also: varargin.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 147
Return in REG the cell elements of PARAM up to the first string element and in PROP all remaining elements beginning with the first string element.

# name: <cell-element>
# type: string
# elements: 1
# length: 2
ls
# name: <cell-element>
# type: string
# elements: 1
# length: 470
 -- Command: ls options
     List directory contents.  For example,

          ls -l
               -| total 12
               -| -rw-r--r--   1 jwe  users  4488 Aug 19 04:02 foo.m
               -| -rw-r--r--   1 jwe  users  1315 Aug 17 23:14 bar.m

     The `dir' and `ls' commands are implemented by calling your system's directory listing command, so the available options may vary from system to system.  See also: dir, stat, readdir, glob, filesep, ls_command.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 24
List directory contents.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
ismac
# name: <cell-element>
# type: string
# elements: 1
# length: 130
 -- Function File:  ismac ()
     Return 1 if Octave is running on a Mac OS X system and 0 otherwise.  See also: ispc, isunix.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 67
Return 1 if Octave is running on a Mac OS X system and 0 otherwise.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
unix
# name: <cell-element>
# type: string
# elements: 1
# length: 463
 -- Function File: [STATUS, TEXT] unix (COMMAND)
 -- Function File: [STATUS, TEXT] unix (COMMAND, "-echo")
     Execute a system command if running under a Unix-like operating system, otherwise do nothing.  Return the exit status of the program in STATUS and any output sent to the standard output in TEXT.  If the optional second argument `"-echo"' is given, then also send the output from the command to the standard output.  See also: isunix, ispc, system.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 93
Execute a system command if running under a Unix-like operating system, otherwise do nothing.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
inputname
# name: <cell-element>
# type: string
# elements: 1
# length: 95
 -- Function File:  inputname (N)
     Return the text defining N-th input to the function.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 52
Return the text defining N-th input to the function.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
fileparts
# name: <cell-element>
# type: string
# elements: 1
# length: 168
 -- Function File: [DIR, NAME, EXT, VER] = fileparts (FILENAME)
     Return the directory, name, extension, and version components of FILENAME.  See also: fullfile.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 74
Return the directory, name, extension, and version components of FILENAME.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
substruct
# name: <cell-element>
# type: string
# elements: 1
# length: 153
 -- Function File:  substruct (TYPE, SUBS, ...)
     Create a subscript structure for use with `subsref' or `subsasgn'.  See also: subsref, subsasgn.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 66
Create a subscript structure for use with `subsref' or `subsasgn'.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
info
# name: <cell-element>
# type: string
# elements: 1
# length: 94
 -- Function File:  info ()
     Display contact information for the GNU Octave community.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 57
Display contact information for the GNU Octave community.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
bzip2
# name: <cell-element>
# type: string
# elements: 1
# length: 449
 -- Function File: ENTRIES = bzip2 (FILES)
 -- Function File: ENTRIES = bzip2 (FILES, OUTDIR)
     Compress the list of files specified in FILES.  Each file is compressed separately and a new file with a '.bz2' extension is created.  The original files are not touched.  Existing compressed files are silently overwritten.If OUTDIR is defined the compressed versions of the files are placed in this directory.  See also: bunzip2, gzip, zip, tar.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 46
Compress the list of files specified in FILES.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
swapbytes
# name: <cell-element>
# type: string
# elements: 1
# length: 255
 -- Function File:  swapbytes (X)
     Swaps the byte order on values, converting from little endian to big endian and vice versa.  For example

          swapbytes (uint16 (1:4))
          => [   256   512   768  1024]

     See also: typecast, cast.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 91
Swaps the byte order on values, converting from little endian to big endian and vice versa.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
mexext
# name: <cell-element>
# type: string
# elements: 1
# length: 88
 -- Function File:  mexext ()
     Return the filename extension used for MEX files.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 49
Return the filename extension used for MEX files.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
paren
# name: <cell-element>
# type: string
# elements: 1
# length: 84
 -- Operator: (
 -- Operator: )
     Array index or function argument delimeter.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 43
Array index or function argument delimeter.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
dos
# name: <cell-element>
# type: string
# elements: 1
# length: 474
 -- Function File: [STATUS, TEXT] = dos (COMMAND)
 -- Function File: [STATUS, TEXT] = dos (COMMAND, "-echo")
     Execute a system command if running under a Windows-like operating system, otherwise do nothing.  Return the exit status of the program in STATUS and any output sent to the standard output in TEXT.  If the optional second argument `"-echo"' is given, then also send the output from the command to the standard output.  See also: unix, isunix, ispc, system.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 96
Execute a system command if running under a Windows-like operating system, otherwise do nothing.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
run
# name: <cell-element>
# type: string
# elements: 1
# length: 337
 -- Function File:  run (F)
 -- Command:  run F
     Run scripts in the current workspace that are not necessarily on the path.  If F is the script to run, including its path, then `run' change the directory to the directory where F is found.  `run' then executes the script, and returns to the original directory.  See also: system.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 74
Run scripts in the current workspace that are not necessarily on the path.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
texas_lotto
# name: <cell-element>
# type: string
# elements: 1
# length: 143
 -- Function File:  texas_lotto ()
     Pick 6 unique numbers between 1 and 50 that are guaranteed to win the Texas Lotto.  See also: rand.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 82
Pick 6 unique numbers between 1 and 50 that are guaranteed to win the Texas Lotto.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
mex
# name: <cell-element>
# type: string
# elements: 1
# length: 196
 -- Function File:  mex [options] file ...
     Compile source code written in C, C++, or Fortran, to a MEX file.  This is equivalent to `mkoctfile --mex [options] file'.  See also: mkoctfile.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 65
Compile source code written in C, C++, or Fortran, to a MEX file.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
gunzip
# name: <cell-element>
# type: string
# elements: 1
# length: 321
 -- Function File:  gunzip (GZFILE, DIR)
     Unpack the gzip archive GZFILE to the directory DIR.  If DIR is not specified, it defaults to the current directory.  If the GZFILE is a directory, all files in the directory will be recursively gunzipped.  See also: unpack, bunzip2, tar, untar, gzip, gunzip, zip, unzip.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 52
Unpack the gzip archive GZFILE to the directory DIR.

# name: <cell-element>
# type: string
# elements: 1
# length: 13
namelengthmax
# name: <cell-element>
# type: string
# elements: 1
# length: 423
 -- Function File:  namelengthmax ()
     Returns the MATLAB compatible maximum variable name length.  Octave is capable of storing strings up to `2 ^ 31 - 1' in length.  However for MATLAB compatibility all variable, function and structure field names should be shorter than the length supplied by `namelengthmax'.  In particular variables stored to a MATLAB file format will have their names truncated to this length.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 59
Returns the MATLAB compatible maximum variable name length.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
symvar
# name: <cell-element>
# type: string
# elements: 1
# length: 325
 -- Function File:  symvar (S)
     Identifies the argument names in the function defined by a string.  Common constant names such as `pi', `NaN', `Inf', `eps', `i' or `j' are ignored.  The arguments that are found are returned in a cell array of strings.  If no variables are found then the returned cell array is empty.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 66
Identifies the argument names in the function defined by a string.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
edit
# name: <cell-element>
# type: string
# elements: 1
# length: 4371
 -- Command: edit NAME
 -- Command: edit FIELD VALUE
 -- Command: VALUE = edit get FIELD
     Edit the named function, or change editor settings.

     If `edit' is called with the name of a file or function as its argument it will be opened in a text editor.

        * If the function NAME is available in a file on your path and that file is modifiable, then it will be edited in place.  If it is a system function, then it will first be copied to the directory `HOME' (see further down) and then edited.  If no file is found, then the m-file variant, ending with ".m", will be considered.  If still no file is found, then variants with a leading "@" and then with both a leading "@" and trailing ".m" will be considered.

        * If NAME is the name of a function defined in the interpreter but not in an m-file, then an m-file will be created in `HOME' to contain that function along with its current definition.

        * If `name.cc' is specified, then it will search for `name.cc' in the path and try to modify it, otherwise it will create a new `.cc' file in `HOME'.  If NAME happens to be an m-file or interpreter defined function, then the text of that function will be inserted into the .cc file as a comment.

        * If NAME.EXT is on your path then it will be edited, otherwise the editor will be started with `HOME/name.ext' as the filename.  If `name.ext' is not modifiable, it will be copied to `HOME' before editing.

          *WARNING!* You may need to clear name before the new definition is available.  If you are editing a .cc file, you will need to mkoctfile `name.cc' before the definition will be available.

     If `edit' is called with FIELD and VALUE variables, the value of the control field FIELD will be VALUE.  If an output argument is requested and the first argument is `get' then `edit' will return the value of the control field FIELD.  If the control field does not exist, edit will return a structure containing all fields and values.  Thus, `edit get all' returns a complete control structure.  The following control fields are used:

    `editor'
          This is the editor to use to modify the functions.  By default it uses Octave's `EDITOR' built-in function, which comes from `getenv("EDITOR")' and defaults to `emacs'.  Use `%s' In place of the function name.  For example,
         `[EDITOR, " %s"]'
               Use the editor which Octave uses for `bug_report'.

         `"xedit %s &"'
               pop up simple X11 editor in a separate window

         `"gnudoit -q \"(find-file \\\"%s\\\")\""'
               Send it to current Emacs; must have `(gnuserv-start)' in `.emacs'.

          See also field 'mode', which controls how the editor is run by Octave.

          On Cygwin, you will need to convert the Cygwin path to a Windows path if you are using a native Windows editor.  For example
               '"C:/Program Files/Good Editor/Editor.exe" "$(cygpath -wa %s)"'

    `home'
          This is the location of user local m-files.  Be be sure it is in your path.  The default is `~/octave'.

    `author'
          This is the name to put after the "## Author:" field of new functions.  By default it guesses from the `gecos' field of password database.

    `email'
          This is the e-mail address to list after the name in the author field.  By default it guesses `<$LOGNAME@$HOSTNAME>', and if `$HOSTNAME' is not defined it uses `uname -n'.  You probably want to override this.  Be sure to use `<user@host>' as your format.

    `license'

         `gpl'
               GNU General Public License (default).

         `bsd'
               BSD-style license without advertising clause.

         `pd'
               Public domain.

         `"text"'
               Your own default copyright and license.

          Unless you specify `pd', edit will prepend the copyright statement with "Copyright (C) yyyy Function Author".

    `mode'
          This value determines whether the editor should be started in async mode (editor is started in the background and Octave continues) or sync mode (Octave waits until the editor exits).  Set it to "async" to start the editor in async mode.  The default is "sync" (see also "system").

    `editinplace'
          Determines whether files should be edited in place, without regard to whether they are modifiable or not.  The default is `false'.

# name: <cell-element>
# type: string
# elements: 1
# length: 51
Edit the named function, or change editor settings.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
pkg
# name: <cell-element>
# type: string
# elements: 1
# length: 5938
 -- Command: pkg COMMAND PKG_NAME
 -- Command: pkg COMMAND OPTION PKG_NAME
     This command interacts with the package manager.  Different actions will be taken depending on the value of COMMAND.

    `install'
          Install named packages.  For example,
               pkg install image-1.0.0.tar.gz
          installs the package found in the file `image-1.0.0.tar.gz'.

          The OPTION variable can contain options that affect the manner in which a package is installed.  These options can be one or more of

         `-nodeps'
               The package manager will disable the dependency checking.  That way it is possible to install a package even if it depends on another package that's not installed on the system.  *Use this option with care.*

         `-noauto'
               The package manager will not automatically load the installed package when starting Octave, even if the package requests that it is.

         `-auto'
               The package manager will automatically load the installed package when starting Octave, even if the package requests that it isn't.

         `-local'
               A local installation is forced, even if the user has system privileges.

         `-global'
               A global installation is forced, even if the user doesn't normally have system privileges

         `-verbose'
               The package manager will print the output of all of the commands that are performed.

    `uninstall'
          Uninstall named packages.  For example,
               pkg uninstall image
          removes the `image' package from the system.  If another installed package depends on the `image' package an error will be issued.  The package can be uninstalled anyway by using the `-nodeps' option.

    `load'
          Add named packages to the path.  After loading a package it is possible to use the functions provided by the package.  For example,
               pkg load image
          adds the `image' package to the path.  It is possible to load all installed packages at once with the command
               pkg load all

    `unload'
          Removes named packages from the path.  After unloading a package it is no longer possible to use the functions provided by the package.  This command behaves like the `load' command.

    `list'
          Show a list of the currently installed packages.  By requesting one or two output argument it is possible to get a list of the currently installed packages.  For example,
               installed_packages = pkg list;
          returns a cell array containing a structure for each installed package.  The command
               [USER_PACKAGES, SYSTEM_PACKAGES] = pkg list
          splits the list of installed packages into those who are installed by the current user, and those installed by the system administrator.

    `describe'
          Show a short description of the named installed packages, with the option '-verbose' also list functions provided by the package, e.g.:
                pkg describe -verbose all
          will describe all installed packages and the functions they provide.  If one output is requested a cell of structure containing the description and list of functions of each package is returned as output rather than printed on screen:
                desc = pkg ("describe", "secs1d", "image")
          If any of the requested packages is not installed, pkg returns an error, unless a second output is requested:
                [ desc, flag] = pkg ("describe", "secs1d", "image")
          FLAG will take one of the values "Not installed", "Loaded" or "Not loaded" for each of the named packages.

    `prefix'
          Set the installation prefix directory.  For example,
               pkg prefix ~/my_octave_packages
          sets the installation prefix to `~/my_octave_packages'.  Packages will be installed in this directory.

          It is possible to get the current installation prefix by requesting an output argument.  For example,
               p = pkg prefix

          The location in which to install the architecture dependent files can be independent specified with an addition argument.  For example

               pkg prefix ~/my_octave_packages ~/my_arch_dep_pkgs

    `local_list'
          Set the file in which to look for information on the locally installed packages.  Locally installed packages are those that are typically available only to the current user.  For example
               pkg local_list ~/.octave_packages
          It is possible to get the current value of local_list with the following
               pkg local_list

    `global_list'
          Set the file in which to look for, for information on the globally installed packages.  Globally installed packages are those that are typically available to all users.  For example
               pkg global_list /usr/share/octave/octave_packages
          It is possible to get the current value of global_list with the following
               pkg global_list

    `rebuild'
          Rebuilds the package database from the installed directories.  This can be used in cases where for some reason the package database is corrupted.  It can also take the `-auto' and `-noauto' options to allow the autoloading state of a package to be changed.  For example

               pkg rebuild -noauto image

          will remove the autoloading status of the image package.

    `build'
          Builds a binary form of a package or packages.  The binary file produced will itself be an Octave package that can be installed normally with `pkg'.  The form of the command to build a binary package is

               pkg build builddir image-1.0.0.tar.gz ...

          where `builddir' is the name of a directory where the temporary installation will be produced and the binary packages will be found.  The options `-verbose' and `-nodeps' are respected, while the other options are ignored.

# name: <cell-element>
# type: string
# elements: 1
# length: 48
This command interacts with the package manager.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
csvread
# name: <cell-element>
# type: string
# elements: 1
# length: 203
 -- Function File: X = csvread (FILENAME)
     Read the matrix X from a file.

     This function is equivalent to
          dlmread (FILENAME, "," , ...)

     See also: dlmread, dlmwrite, csvwrite.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 30
Read the matrix X from a file.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
beep
# name: <cell-element>
# type: string
# elements: 1
# length: 127
 -- Function File:  beep ()
     Produce a beep from the speaker (or visual bell).  See also: puts, fputs, printf, fprintf.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 49
Produce a beep from the speaker (or visual bell).

# name: <cell-element>
# type: string
# elements: 1
# length: 8
dlmwrite
# name: <cell-element>
# type: string
# elements: 1
# length: 1504
 -- Function File:  dlmwrite (FILE, A)
 -- Function File:  dlmwrite (FILE, A, DELIM, R, C)
 -- Function File:  dlmwrite (FILE, A, KEY, VAL ...)
 -- Function File:  dlmwrite (FILE, A, "-append", ...)
     Write the matrix A to the named file using delimiters.

     The parameter DELIM specifies the delimiter to use to separate values on a row.

     The value of R specifies the number of delimiter-only lines to add to the start of the file.

     The value of C specifies the number of delimiters to prepend to each line of data.

     If the argument `"-append"' is given, append to the end of the FILE.

     In addition, the following keyword value pairs may appear at the end of the argument list:
    `"append"'
          Either `"on"' or `"off"'.  See `"-append"' above.

    `"delimiter"'
          See DELIM above.

    `"newline"'
          The character(s) to use to separate each row.  Three special cases exist for this option.  `"unix"' is changed into '\n', `"pc"' is changed into '\r\n', and `"mac"' is changed into '\r'.  Other values for this option are kept as is.

    `"roffset"'
          See R above.

    `"coffset"'
          See C above.

    `"precision"'
          The precision to use when writing the file.  It can either be a format string (as used by fprintf) or a number of significant digits.

          dlmwrite ("file.csv", reshape (1:16, 4, 4));

          dlmwrite ("file.tex", a, "delimiter", "&", "newline", "\\n")

     See also: dlmread, csvread, csvwrite.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 54
Write the matrix A to the named file using delimiters.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
csvwrite
# name: <cell-element>
# type: string
# elements: 1
# length: 208
 -- Function File: X = csvwrite (FILENAME, X)
     Write the matrix X to a file.

     This function is equivalent to
          dlmwrite (FILENAME, X, ",", ...)

     See also: dlmread, dlmwrite, csvread.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 29
Write the matrix X to a file.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
magic
# name: <cell-element>
# type: string
# elements: 1
# length: 145
 -- Function File:  magic (N)
     Create an N-by-N magic square.  Note that `magic (2)' is undefined since there is no 2-by-2 magic square.

   
# name: <cell-element>
# type: string
# elements: 1
# length: 30
Create an N-by-N magic square.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
hankel
# name: <cell-element>
# type: string
# elements: 1
# length: 571
 -- Function File:  hankel (C, R)
     Return the Hankel matrix constructed given the first column C, and (optionally) the last row R.  If the last element of C is not the same as the first element of R, the last element of C is used.  If the second argument is omitted, it is assumed to be a vector of zeros with the same size as C.

     A Hankel matrix formed from an m-vector C, and an n-vector R, has the elements

          H(i,j) = c(i+j-1),  i+j-1 <= m;
          H(i,j) = r(i+j-m),  otherwise
     See also: vander, sylvester_matrix, hilb, invhilb, toeplitz.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 95
Return the Hankel matrix constructed given the first column C, and (optionally) the last row R.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
hilb
# name: <cell-element>
# type: string
# elements: 1
# length: 233
 -- Function File:  hilb (N)
     Return the Hilbert matrix of order N.  The i, j element of a Hilbert matrix is defined as

          H (i, j) = 1 / (i + j - 1)
     See also: hankel, vander, sylvester_matrix, invhilb, toeplitz.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 37
Return the Hilbert matrix of order N.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
pascal
# name: <cell-element>
# type: string
# elements: 1
# length: 646
 -- Function File:  pascal (N, T)
     Return the Pascal matrix of order N if `T = 0'.  T defaults to 0. Return lower triangular Cholesky factor of the Pascal matrix if `T = 1'.  This matrix is its own inverse, that is `pascal (N, 1) ^ 2 == eye (N)'.  If `T = -1', return its absolute value.  This is the standard pascal triangle as a lower-triangular matrix.  If `T = 2', return a transposed and permuted version of `pascal (N, 1)', which is the cube-root of the identity matrix.  That is `pascal (N, 2) ^ 3 == eye (N)'.

     See also: hankel, vander, sylvester_matrix, hilb, invhilb, toeplitz           hadamard, wilkinson, compan, rosser.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 47
Return the Pascal matrix of order N if `T = 0'.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
vander
# name: <cell-element>
# type: string
# elements: 1
# length: 569
 -- Function File:  vander (C, N)
     Return the Vandermonde matrix whose next to last column is C.  If N is specified, it determines the number of columns; otherwise, N is taken to be equal to the length of C.

     A Vandermonde matrix has the form:

          c(1)^(n-1) ... c(1)^2  c(1)  1
          c(2)^(n-1) ... c(2)^2  c(2)  1
              .     .      .      .    .
              .       .    .      .    .
              .         .  .      .    .
          c(n)^(n-1) ... c(n)^2  c(n)  1
     See also: hankel, sylvester_matrix, hilb, invhilb, toeplitz.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 61
Return the Vandermonde matrix whose next to last column is C.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
wilkinson
# name: <cell-element>
# type: string
# elements: 1
# length: 200
 -- Function File:  wilkinson (N)
     Return the Wilkinson matrix of order N.

     See also: hankel, vander, sylvester_matrix, hilb, invhilb, toeplitz           hadamard, rosser, compan, pascal.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 39
Return the Wilkinson matrix of order N.

# name: <cell-element>
# type: string
# elements: 1
# length: 16
sylvester_matrix
# name: <cell-element>
# type: string
# elements: 1
# length: 147
 -- Function File:  sylvester_matrix (K)
     Return the Sylvester matrix of order n = 2^k.  See also: hankel, vander, hilb, invhilb, toeplitz.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 45
Return the Sylvester matrix of order n = 2^k.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
invhilb
# name: <cell-element>
# type: string
# elements: 1
# length: 1020
 -- Function File:  invhilb (N)
     Return the inverse of a Hilbert matrix of order N.  This can be computed exactly using

                      (i+j)         /n+i-1\  /n+j-1\   /i+j-2\ 2
           A(i,j) = -1      (i+j-1)(       )(       ) (       )
                                    \ n-j /  \ n-i /   \ i-2 /

                  = p(i) p(j) / (i+j-1)
     where
                       k  /k+n-1\   /n\
              p(k) = -1  (       ) (   )
                          \ k-1 /   \k/

     The validity of this formula can easily be checked by expanding the binomial coefficients in both formulas as factorials.  It can be derived more directly via the theory of Cauchy matrices: see J. W. Demmel, Applied Numerical Linear Algebra, page 92.

     Compare this with the numerical calculation of `inverse (hilb (n))', which suffers from the ill-conditioning of the Hilbert matrix, and the finite precision of your computer's floating point arithmetic.  See also: hankel, vander, sylvester_matrix, hilb, toeplitz.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 50
Return the inverse of a Hilbert matrix of order N.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
hadamard
# name: <cell-element>
# type: string
# elements: 1
# length: 602
 -- Function File:  hadamard (N)
     Construct a Hadamard matrix HN of size N-by-N.  The size N must be of the form `2 ^ K * P' in which P is one of 1, 12, 20 or 28.  The returned matrix is normalized, meaning `Hn(:,1) == 1' and `H(1,:) == 1'.

     Some of the properties of Hadamard matrices are:

        * `kron (HM, HN)' is a Hadamard matrix of size M-by-N.

        * `Hn * Hn' == N * eye (N)'.

        * The rows of HN are orthogonal.

        * `det (A) <= abs(det (HN))' for all A with `abs (A (I, J)) <= 1'.

        * Multiply any row or column by -1 and still have a Hadamard matrix.

   
# name: <cell-element>
# type: string
# elements: 1
# length: 46
Construct a Hadamard matrix HN of size N-by-N.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
rosser
# name: <cell-element>
# type: string
# elements: 1
# length: 253
 -- Function File:  rosser ()
     Returns the Rosser matrix.  This is a difficult test case used to test eigenvalue algorithms.

     See also: hankel, vander, sylvester_matrix, hilb, invhilb, toeplitz           hadamard, wilkinson, compan, pascal.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 26
Returns the Rosser matrix.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
toeplitz
# name: <cell-element>
# type: string
# elements: 1
# length: 719
 -- Function File:  toeplitz (C, R)
     Return the Toeplitz matrix constructed given the first column C, and (optionally) the first row R.  If the first element of C is not the same as the first element of R, the first element of C is used.  If the second argument is omitted, the first row is taken to be the same as the first column.

     A square Toeplitz matrix has the form:

          c(0)  r(1)   r(2)  ...  r(n)
          c(1)  c(0)   r(1)  ... r(n-1)
          c(2)  c(1)   c(0)  ... r(n-2)
           .     ,      ,   .      .
           .     ,      ,     .    .
           .     ,      ,       .  .
          c(n) c(n-1) c(n-2) ...  c(0)
     See also: hankel, vander, sylvester_matrix, hilb, invhilb.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 98
Return the Toeplitz matrix constructed given the first column C, and (optionally) the first row R.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
logm
# name: <cell-element>
# type: string
# elements: 1
# length: 211
 -- Function File:  logm (A)
     Compute the matrix logarithm of the square matrix A.  Note that this is currently implemented in terms of an eigenvalue expansion and needs to be improved to be more robust.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 52
Compute the matrix logarithm of the square matrix A.

# name: <cell-element>
# type: string
# elements: 1
# length: 18
commutation_matrix
# name: <cell-element>
# type: string
# elements: 1
# length: 375
 -- Function File:  commutation_matrix (M, N)
     Return the commutation matrix  K(m,n)  which is the unique M*N by M*N  matrix such that K(m,n) * vec(A) = vec(A')  for all m by n  matrices A.

     If only one argument M is given, K(m,m)  is returned.

     See Magnus and Neudecker (1988), Matrix differential calculus with applications in statistics and econometrics.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 137
Return the commutation matrix K(m,n) which is the unique M*N by M*N matrix such that K(m,n) * vec(A) = vec(A') for all m by n matrices A.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
expm
# name: <cell-element>
# type: string
# elements: 1
# length: 842
 -- Function File:  expm (A)
     Return the exponential of a matrix, defined as the infinite Taylor series

          expm(a) = I + a + a^2/2! + a^3/3! + ...

     The Taylor series is _not_ the way to compute the matrix exponential; see Moler and Van Loan, `Nineteen Dubious Ways to Compute the Exponential of a Matrix', SIAM Review, 1978.  This routine uses Ward's diagonal Pade' approximation method with three step preconditioning (SIAM Journal on Numerical Analysis, 1977).  Diagonal Pade'  approximations are rational polynomials of matrices

               -1
          D (a)   N (a)

     whose Taylor series matches the first `2q+1' terms of the Taylor series above; direct evaluation of the Taylor series (with the same preconditioning steps) may be desirable in lieu of the Pade' approximation when `Dq(a)' is ill-conditioned.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 74
Return the exponential of a matrix, defined as the infinite Taylor series 

# name: <cell-element>
# type: string
# elements: 1
# length: 3
dot
# name: <cell-element>
# type: string
# elements: 1
# length: 266
 -- Function File:  dot (X, Y, DIM)
     Computes the dot product of two vectors.  If X and Y are matrices, calculate the dot-product along the first non-singleton dimension.  If the optional argument DIM is given, calculate the dot-product along this dimension.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 40
Computes the dot product of two vectors.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
cross
# name: <cell-element>
# type: string
# elements: 1
# length: 436
 -- Function File:  cross (X, Y)
 -- Function File:  cross (X, Y, DIM)
     Compute the vector cross product of two 3-dimensional vectors X and Y.

          cross ([1,1,0], [0,1,1])
               => [ 1; -1; 1 ]

     If X and Y are matrices, the cross product is applied along the first dimension with 3 elements.  The optional argument DIM forces the cross product to be calculated along the specified dimension.  See also: dot.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 70
Compute the vector cross product of two 3-dimensional vectors X and Y.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
cond
# name: <cell-element>
# type: string
# elements: 1
# length: 367
 -- Function File:  cond (A,P)
     Compute the P-norm condition number of a matrix.  `cond (A)' is defined as `norm (A, P) * norm (inv (A), P)'.  By default `P=2' is used which implies a (relatively slow) singular value decomposition.  Other possible selections are `P= 1, Inf, inf, 'Inf', 'fro'' which are generally faster.  See also: condest, rcond, norm, svd.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 48
Compute the P-norm condition number of a matrix.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
planerot
# name: <cell-element>
# type: string
# elements: 1
# length: 180
 -- Function File: [G, Y] = planerot (X)
     Given a two-element column vector, returns the 2 by 2 orthogonal matrix G such that `Y = G * X' and `Y(2) = 0'.  See also: givens.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 111
Given a two-element column vector, returns the 2 by 2 orthogonal matrix G such that `Y = G * X' and `Y(2) = 0'.

# name: <cell-element>
# type: string
# elements: 1
# length: 18
duplication_matrix
# name: <cell-element>
# type: string
# elements: 1
# length: 319
 -- Function File:  duplication_matrix (N)
     Return the duplication matrix Dn  which is the unique n^2 by n*(n+1)/2  matrix such that Dn vech (A) = vec (A)  for all symmetric n by n  matrices A.

     See Magnus and Neudecker (1988), Matrix differential calculus with applications in statistics and econometrics.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 145
Return the duplication matrix Dn which is the unique n^2 by n*(n+1)/2 matrix such that Dn vech (A) = vec (A) for all symmetric n by n matrices A.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
onenormest
# name: <cell-element>
# type: string
# elements: 1
# length: 1270
 -- Function File: [EST, V, W, ITER] = onenormest (A, T)
 -- Function File: [EST, V, W, ITER] = onenormest (APPLY, APPLY_T, N, T)
     Apply Higham and Tisseur's randomized block 1-norm estimator to matrix A using T test vectors.  If T exceeds 5, then only 5 test vectors are used.

     If the matrix is not explicit, e.g., when estimating the norm of `inv (A)' given an LU factorization, `onenormest' applies A and its conjugate transpose through a pair of functions APPLY and APPLY_T, respectively, to a dense matrix of size N by T.  The implicit version requires an explicit dimension N.

     Returns the norm estimate EST, two vectors V and W related by norm `(W, 1) = EST * norm (V, 1)', and the number of iterations ITER.  The number of iterations is limited to 10 and is at least 2.

     References:
        * Nicholas J. Higham and Françoise Tisseur, "A Block Algorithm for Matrix 1-Norm Estimation, with an Application to 1-Norm Pseudospectra." SIMAX vol 21, no 4, pp 1185-1201.  `http://dx.doi.org/10.1137/S0895479899356080'

        * Nicholas J. Higham and Françoise Tisseur, "A Block Algorithm for Matrix 1-Norm Estimation, with an Application to 1-Norm Pseudospectra." `http://citeseer.ist.psu.edu/223007.html'

     See also: condest, norm, cond.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 94
Apply Higham and Tisseur's randomized block 1-norm estimator to matrix A using T test vectors.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
housh
# name: <cell-element>
# type: string
# elements: 1
# length: 593
 -- Function File: [HOUSV, BETA, ZER] = housh (X, J, Z)
     Compute Householder reflection vector HOUSV to reflect X to be the j-th column of identity, i.e.,

          (I - beta*housv*housv')x =  norm(x)*e(j) if x(1) < 0,
          (I - beta*housv*housv')x = -norm(x)*e(j) if x(1) >= 0

     Inputs

    X
          vector

    J
          index into vector

    Z
          threshold for zero  (usually should be the number 0)

     Outputs (see Golub and Van Loan):

    BETA
          If beta = 0, then no reflection need be applied (zer set to 0)

    HOUSV
          householder vector

# name: <cell-element>
# type: string
# elements: 1
# length: 94
Compute Householder reflection vector HOUSV to reflect X to be the j-th column of identity, i.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
rref
# name: <cell-element>
# type: string
# elements: 1
# length: 299
 -- Function File: [R, K] = rref (A, TOL)
     Returns the reduced row echelon form of A.  TOL defaults to `eps * max (size (A)) * norm (A, inf)'.

     Called with two return arguments, K returns the vector of "bound variables", which are those columns on which elimination has been performed.

   
# name: <cell-element>
# type: string
# elements: 1
# length: 42
Returns the reduced row echelon form of A.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
krylov
# name: <cell-element>
# type: string
# elements: 1
# length: 1133
 -- Function File: [U, H, NU] = krylov (A, V, K, EPS1, PFLG)
     Construct an orthogonal basis U of block Krylov subspace

          [v a*v a^2*v ... a^(k+1)*v]

     Using Householder reflections to guard against loss of orthogonality.

     If V is a vector, then H contains the Hessenberg matrix such that `a*u == u*h+rk*ek'', in which `rk = a*u(:,k)-u*h(:,k)', and `ek'' is the vector `[0, 0, ..., 1]' of length `k'.  Otherwise, H is meaningless.

     If V is a vector and K is greater than `length(A)-1', then H contains the Hessenberg matrix such that `a*u == u*h'.

     The value of NU is the dimension of the span of the krylov subspace (based on EPS1).

     If B is a vector and K is greater than M-1, then H contains the Hessenberg decomposition of A.

     The optional parameter EPS1 is the threshold for zero.  The default value is 1e-12.

     If the optional parameter PFLG is nonzero, row pivoting is used to improve numerical behavior.  The default value is 0.

     Reference: Hodel and Misra, "Partial Pivoting in the Computation of Krylov Subspaces", to be submitted to Linear Algebra and its Applications
   
# name: <cell-element>
# type: string
# elements: 1
# length: 57
Construct an orthogonal basis U of block Krylov subspace 

# name: <cell-element>
# type: string
# elements: 1
# length: 6
qzhess
# name: <cell-element>
# type: string
# elements: 1
# length: 720
 -- Function File: [AA, BB, Q, Z] = qzhess (A, B)
     Compute the Hessenberg-triangular decomposition of the matrix pencil `(A, B)', returning `AA = Q * A * Z', `BB = Q * B * Z', with Q and Z orthogonal.  For example,

          [aa, bb, q, z] = qzhess ([1, 2; 3, 4], [5, 6; 7, 8])
               => aa = [ -3.02244, -4.41741;  0.92998,  0.69749 ]
               => bb = [ -8.60233, -9.99730;  0.00000, -0.23250 ]
               =>  q = [ -0.58124, -0.81373; -0.81373,  0.58124 ]
               =>  z = [ 1, 0; 0, 1 ]

     The Hessenberg-triangular decomposition is the first step in Moler and Stewart's QZ decomposition algorithm.

     Algorithm taken from Golub and Van Loan, `Matrix Computations, 2nd edition'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 149
Compute the Hessenberg-triangular decomposition of the matrix pencil `(A, B)', returning `AA = Q * A * Z', `BB = Q * B * Z', with Q and Z orthogonal.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
subspace
# name: <cell-element>
# type: string
# elements: 1
# length: 151
 -- Function File: ANGLE = subspace (A, B)
     Determine the largest principal angle between two subspaces spanned by columns of matrices A and B.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 99
Determine the largest principal angle between two subspaces spanned by columns of matrices A and B.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
vech
# name: <cell-element>
# type: string
# elements: 1
# length: 181
 -- Function File:  vech (X)
     Return the vector obtained by eliminating all supradiagonal elements of the square matrix X and stacking the result one column above the other.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 143
Return the vector obtained by eliminating all supradiagonal elements of the square matrix X and stacking the result one column above the other.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
krylovb
# name: <cell-element>
# type: string
# elements: 1
# length: 84
 -- Function File: [U, UCOLS] = krylovb (A, V, K, EPS1, PFLG)
     See `krylov'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 13
See `krylov'.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
condest
# name: <cell-element>
# type: string
# elements: 1
# length: 1554
 -- Function File: [EST, V] = condest (A, T)
 -- Function File: [EST, V] = condest (A, SOLVE, SOLVE_T, T)
 -- Function File: [EST, V] = condest (APPLY, APPLY_T, SOLVE, SOLVE_T, N, T)
     Estimate the 1-norm condition number of a matrix A using T test vectors using a randomized 1-norm estimator.  If T exceeds 5, then only 5 test vectors are used.

     If the matrix is not explicit, e.g., when estimating the condition number of A given an LU factorization, `condest' uses the following functions:

    APPLY
          `A*x' for a matrix `x' of size N by T.

    APPLY_T
          `A'*x' for a matrix `x' of size N by T.

    SOLVE
          `A \ b' for a matrix `b' of size N by T.

    SOLVE_T
          `A' \ b' for a matrix `b' of size N by T.

     The implicit version requires an explicit dimension N.

     `condest' uses a randomized algorithm to approximate the 1-norms.

     `condest' returns the 1-norm condition estimate EST and a vector V satisfying `norm (A*v, 1) == norm (A, 1) * norm (V, 1) / EST'.  When EST is large, V is an approximate null vector.

     References:
        * Nicholas J. Higham and Françoise Tisseur, "A Block Algorithm for Matrix 1-Norm Estimation, with an Application to 1-Norm Pseudospectra." SIMAX vol 21, no 4, pp 1185-1201.  `http://dx.doi.org/10.1137/S0895479899356080'

        * Nicholas J. Higham and Françoise Tisseur, "A Block Algorithm for Matrix 1-Norm Estimation, with an Application to 1-Norm Pseudospectra." `http://citeseer.ist.psu.edu/223007.html'

     See also: cond, norm, onenormest.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 108
Estimate the 1-norm condition number of a matrix A using T test vectors using a randomized 1-norm estimator.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
rank
# name: <cell-element>
# type: string
# elements: 1
# length: 410
 -- Function File:  rank (A, TOL)
     Compute the rank of A, using the singular value decomposition.  The rank is taken to be the number of singular values of A that are greater than the specified tolerance TOL.  If the second argument is omitted, it is taken to be

          tol = max (size (A)) * sigma(1) * eps;

     where `eps' is machine precision and `sigma(1)' is the largest singular value of A.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 62
Compute the rank of A, using the singular value decomposition.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
trace
# name: <cell-element>
# type: string
# elements: 1
# length: 80
 -- Function File:  trace (A)
     Compute the trace of A, `sum (diag (A))'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 41
Compute the trace of A, `sum (diag (A))'.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
null
# name: <cell-element>
# type: string
# elements: 1
# length: 297
 -- Function File:  null (A, TOL)
     Return an orthonormal basis of the null space of A.

     The dimension of the null space is taken as the number of singular values of A not greater than TOL.  If the argument TOL is missing, it is computed as

          max (size (A)) * max (svd (A)) * eps

# name: <cell-element>
# type: string
# elements: 1
# length: 51
Return an orthonormal basis of the null space of A.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
orth
# name: <cell-element>
# type: string
# elements: 1
# length: 295
 -- Function File:  orth (A, TOL)
     Return an orthonormal basis of the range space of A.

     The dimension of the range space is taken as the number of singular values of A greater than TOL.  If the argument TOL is missing, it is computed as

          max (size (A)) * max (svd (A)) * eps

# name: <cell-element>
# type: string
# elements: 1
# length: 52
Return an orthonormal basis of the range space of A.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
vec
# name: <cell-element>
# type: string
# elements: 1
# length: 124
 -- Function File:  vec (X)
     Return the vector obtained by stacking the columns of the matrix X one above the other.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 87
Return the vector obtained by stacking the columns of the matrix X one above the other.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
findstr
# name: <cell-element>
# type: string
# elements: 1
# length: 523
 -- Function File:  findstr (S, T, OVERLAP)
     Return the vector of all positions in the longer of the two strings S and T where an occurrence of the shorter of the two starts.  If the optional argument OVERLAP is nonzero, the returned vector can include overlapping positions (this is the default).  For example,

          findstr ("ababab", "a")
               => [1, 3, 5]
          findstr ("abababa", "aba", 0)
               => [1, 5]
     See also: strfind, strmatch, strcmp, strncmp, strcmpi, strncmpi, find.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 129
Return the vector of all positions in the longer of the two strings S and T where an occurrence of the shorter of the two starts.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
strtrunc
# name: <cell-element>
# type: string
# elements: 1
# length: 275
 -- Function File:  strtrunc (S, N)
     Truncate the character string S to length N.  If S is a char matrix, then the number of columns is adjusted.

     If S is a cell array of strings, then the operation is performed on its members and the new cell array is returned.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 44
Truncate the character string S to length N.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
isstrprop
# name: <cell-element>
# type: string
# elements: 1
# length: 1385
 -- Function File:  isstrprop (STR, PRED)
     Test character string properties.  For example,

          isstrprop ("abc123", "alpha")
          => [1, 1, 1, 0, 0, 0]

     If STR is a cell array, `isstrpop' is applied recursively to each element of the cell array.

     Numeric arrays are converted to character strings.

     The second argument PRED may be one of

    `"alpha"'
          True for characters that are alphabetic

    `"alnum"'
    `"alphanum"'
          True for characters that are alphabetic or digits.

    `"ascii"'
          True for characters that are in the range of ASCII encoding.

    `"cntrl"'
          True for control characters.

    `"digit"'
          True for decimal digits.

    `"graph"'
    `"graphic"'
          True for printing characters except space.

    `"lower"'
          True for lower-case letters.

    `"print"'
          True for printing characters including space.

    `"punct"'
          True for printing characters except space or letter or digit.

    `"space"'
    `"wspace"'
          True for whitespace characters (space, formfeed, newline, carriage return, tab, vertical tab).

    `"upper"'
          True for upper-case letters.

    `"xdigit"'
          True for hexadecimal digits.

     See also: isalnum, isalpha, isascii, iscntrl, isdigit, isgraph, islower, isprint, ispunct, isspace, isupper, isxdigit.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 33
Test character string properties.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
bin2dec
# name: <cell-element>
# type: string
# elements: 1
# length: 372
 -- Function File:  bin2dec (S)
     Return the decimal number corresponding to the binary number stored in the string S.  For example,

          bin2dec ("1110")
               => 14

     If S is a string matrix, returns a column vector of converted numbers, one per row of S.  Invalid rows evaluate to NaN.  See also: dec2hex, base2dec, dec2base, hex2dec, dec2bin.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 84
Return the decimal number corresponding to the binary number stored in the string S.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
strcmpi
# name: <cell-element>
# type: string
# elements: 1
# length: 705
 -- Function File:  strcmpi (S1, S2)
     Ignoring case, return 1 if the character strings (or character arrays) S1 and S2 are the same, and 0 otherwise.

     If either S1 or S2 is a cell array of strings, then an array of the same size is returned, containing the values described above for every member of the cell array.  The other argument may also be a cell array of strings (of the same size or with only one element), char matrix or character string.

     *Caution:* For compatibility with MATLAB, Octave's strcmpi function returns 1 if the character strings are equal, and 0 otherwise.  This is just the opposite of the corresponding C library function.  See also: strcmp, strncmp, strncmpi.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 111
Ignoring case, return 1 if the character strings (or character arrays) S1 and S2 are the same, and 0 otherwise.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
isletter
# name: <cell-element>
# type: string
# elements: 1
# length: 109
 -- Function File:  isletter (S)
     Returns true if S is a letter, false otherwise.  See also: isalpha.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 47
Returns true if S is a letter, false otherwise.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
strsplit
# name: <cell-element>
# type: string
# elements: 1
# length: 320
 -- Function File: [S] = strsplit (P, SEP, STRIP_EMPTY)
     Split a single string using one or more delimiters and return a cell array of strings.  Consecutive delimiters and delimiters at boundaries result in empty strings, unless STRIP_EMPTY is true.  The default value of STRIP_EMPTY is false.  See also: strtok.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 86
Split a single string using one or more delimiters and return a cell array of strings.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
cstrcat
# name: <cell-element>
# type: string
# elements: 1
# length: 417
 -- Function File:  cstrcat (S1, S2, ...)
     Return a string containing all the arguments concatenated horizontally.  Trailing white space is preserved.  For example,

          cstrcat ("ab   ", "cd")
               => "ab   cd"

          s = [ "ab"; "cde" ];
          cstrcat (s, s, s)
               => ans =
                  "ab ab ab "
                  "cdecdecde"
     See also: strcat, char, strvcat.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 71
Return a string containing all the arguments concatenated horizontally.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
mat2str
# name: <cell-element>
# type: string
# elements: 1
# length: 1032
 -- Function File: S = mat2str (X, N)
 -- Function File: S = mat2str (..., 'class')
     Format real/complex numerical matrices as strings.  This function returns values that are suitable for the use of the `eval' function.

     The precision of the values is given by N.  If N is a scalar then both real and imaginary parts of the matrix are printed to the same precision.  Otherwise `N (1)' defines the precision of the real part and `N (2)' defines the precision of the imaginary part.  The default for N is 17.

     If the argument 'class' is given, then the class of X is included in the string in such a way that the eval will result in the construction of a matrix of the same class.

          mat2str ([ -1/3 + i/7; 1/3 - i/7 ], [4 2])
               => "[-0.3333+0.14i;0.3333-0.14i]"

          mat2str ([ -1/3 +i/7; 1/3 -i/7 ], [4 2])
               => "[-0.3333+0i,0+0.14i;0.3333+0i,-0-0.14i]"

          mat2str (int16([1 -1]), 'class')
               => "int16([1,-1])"

     See also: sprintf, num2str, int2str.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 50
Format real/complex numerical matrices as strings.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
base2dec
# name: <cell-element>
# type: string
# elements: 1
# length: 646
 -- Function File:  base2dec (S, B)
     Convert S from a string of digits of base B into an integer.

          base2dec ("11120", 3)
               => 123

     If S is a matrix, returns a column vector with one value per row of S.  If a row contains invalid symbols then the corresponding value will be NaN.  Rows are right-justified before converting so that trailing spaces are ignored.

     If B is a string, the characters of B are used as the symbols for the digits of S.  Space (' ') may not be used as a symbol.

          base2dec ("yyyzx", "xyz")
               => 123
     See also: dec2base, dec2bin, bin2dec, hex2dec, dec2hex.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 60
Convert S from a string of digits of base B into an integer.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
strmatch
# name: <cell-element>
# type: string
# elements: 1
# length: 700
 -- Function File:  strmatch (S, A, "exact")
     Return indices of entries of A that match the string S.  The second argument A may be a string matrix or a cell array of strings.  If the third argument `"exact"' is not given, then S only needs to match A up to the length of S.  Nul characters match blanks.  Results are returned as a column vector.  For example:

          strmatch ("apple", "apple juice")
               => 1

          strmatch ("apple", ["apple pie"; "apple juice"; "an apple"])
               => [1; 2]

          strmatch ("apple", {"apple pie"; "apple juice"; "tomato"})
               => [1; 2]
     See also: strfind, findstr, strcmp, strncmp, strcmpi, strncmpi, find.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 55
Return indices of entries of A that match the string S.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
strncmpi
# name: <cell-element>
# type: string
# elements: 1
# length: 731
 -- Function File:  strncmpi (S1, S2, N)
     Ignoring case, return 1 if the first N characters of character strings (or character arrays) S1 and S2 are the same, and 0 otherwise.

     If either S1 or S2 is a cell array of strings, then an array of the same size is returned, containing the values described above for every member of the cell array.  The other argument may also be a cell array of strings (of the same size or with only one element), char matrix or character string.

     *Caution:* For compatibility with MATLAB, Octave's strncmpi function returns 1 if the character strings are equal, and 0 otherwise.  This is just the opposite of the corresponding C library function.  See also: strcmp, strcmpi, strncmp.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 133
Ignoring case, return 1 if the first N characters of character strings (or character arrays) S1 and S2 are the same, and 0 otherwise.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
strfind
# name: <cell-element>
# type: string
# elements: 1
# length: 868
 -- Function File: IDX = strfind (STR, PATTERN)
 -- Function File: IDX = strfind (CELLSTR, PATTERN)
     Search for PATTERN in the string STR and return the starting index of every such occurrence in the vector IDX.  If there is no such occurrence, or if PATTERN is longer than STR, then IDX is the empty array `[]'.

     If the cell array of strings CELLSTR is specified instead of the string STR, then IDX is a cell array of vectors, as specified above.  Examples:

          strfind ("abababa", "aba")
               => [1, 3, 5]

          strfind ({"abababa", "bebebe", "ab"}, "aba")
               => ans =
                  {
                    [1,1] =

                       1   3   5

                    [1,2] = [](1x0)
                    [1,3] = [](1x0)
                  }
     See also: findstr, strmatch, strcmp, strncmp, strcmpi, strncmpi, find.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 110
Search for PATTERN in the string STR and return the starting index of every such occurrence in the vector IDX.

# name: <cell-element>
# type: string
# elements: 1
# length: 14
validatestring
# name: <cell-element>
# type: string
# elements: 1
# length: 855
 -- Function File: VALIDSTR = validatestring (STR, STRARRAY)
 -- Function File: VALIDSTR = validatestring (STR, STRARRAY, FUNCNAME)
 -- Function File: VALIDSTR = validatestring (STR, STRARRAY, FUNCNAME, VARNAME)
 -- Function File: VALIDSTR = validatestring (..., POSITION)
     Verify that STR is a string or substring of an element of STRARRAY.

     STR is a character string to be tested, and STRARRAY is a cellstr of valid values.  VALIDSTR will be the validated form of STR where validation is defined as STR being a member or substring of VALIDSTR.  If STR is a substring of VALIDSTR and there are multiple matches, the shortest match will be returned if all matches are substrings of each other, and an error will be raised if the matches are not substrings of each other.

     All comparisons are case insensitive.  See also: strcmp, strcmpi.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 67
Verify that STR is a string or substring of an element of STRARRAY.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
strtok
# name: <cell-element>
# type: string
# elements: 1
# length: 567
 -- Function File: [TOK, REM] = strtok (STR, DELIM)
     Find all characters up to but not including the first character which is in the string delim.  If REM is requested, it contains the remainder of the string, starting at the first delimiter.  Leading delimiters are ignored.  If DELIM is not specified, space is assumed.  For example:

          strtok ("this is the life")
               => "this"

          [tok, rem] = strtok ("14*27+31", "+-*/")
               =>
                  tok = 14
                  rem = *27+31
     See also: index, strsplit.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 93
Find all characters up to but not including the first character which is in the string delim.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
strrep
# name: <cell-element>
# type: string
# elements: 1
# length: 304
 -- Function File:  strrep (S, X, Y)
     Replace all occurrences of the substring X of the string S with the string Y and return the result.  For example,

          strrep ("This is a test string", "is", "&%$")
               => "Th&%$ &%$ a test string"
     See also: regexprep, strfind, findstr.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 99
Replace all occurrences of the substring X of the string S with the string Y and return the result.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
dec2base
# name: <cell-element>
# type: string
# elements: 1
# length: 663
 -- Function File:  dec2base (N, B, LEN)
     Return a string of symbols in base B corresponding to the non-negative integer N.

          dec2base (123, 3)
               => "11120"

     If N is a vector, return a string matrix with one row per value, padded with leading zeros to the width of the largest value.

     If B is a string then the characters of B are used as the symbols for the digits of N.  Space (' ') may not be used as a symbol.

          dec2base (123, "aei")
               => "eeeia"

     The optional third argument, LEN, specifies the minimum number of digits in the result.  See also: base2dec, dec2bin, bin2dec, hex2dec, dec2hex.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 81
Return a string of symbols in base B corresponding to the non-negative integer N.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
dec2hex
# name: <cell-element>
# type: string
# elements: 1
# length: 466
 -- Function File:  dec2hex (N, LEN)
     Return the hexadecimal string corresponding to the non-negative integer N.  For example,

          dec2hex (2748)
               => "ABC"

     If N is a vector, returns a string matrix, one row per value, padded with leading zeros to the width of the largest value.

     The optional second argument, LEN, specifies the minimum number of digits in the result.  See also: hex2dec, dec2base, base2dec, bin2dec, dec2bin.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 74
Return the hexadecimal string corresponding to the non-negative integer N.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
str2double
# name: <cell-element>
# type: string
# elements: 1
# length: 1962
 -- Function File: [NUM, STATUS, STRARRAY] = str2double (STR, CDELIM, RDELIM, DDELIM)
     Convert strings into numeric values.

     `str2double' can replace `str2num', but avoids the use of `eval' on unknown data.

     STR can be the form `[+-]d[.]dd[[eE][+-]ddd]' in which `d' can be any of digit from 0 to 9, and `[]' indicate optional elements.

     NUM is the corresponding numeric value.  If the conversion fails, status is -1 and NUM is NaN.

     STATUS is 0 if the conversion was successful and -1 otherwise.

     STRARRAY is a cell array of strings.

     Elements which are not defined or not valid return NaN and the STATUS becomes -1.

     If STR is a character array or a cell array of strings, then NUM and STATUS return matrices of appropriate size.

     STR can also contain multiple elements separated by row and column delimiters (CDELIM and RDELIM).

     The parameters CDELIM, RDELIM, and DDELIM are optional column, row, and decimal delimiters.

     The default row-delimiters are newline, carriage return and semicolon (ASCII 10, 13 and 59).  The default column-delimiters are tab, space and comma (ASCII 9, 32, and 44).  The default decimal delimiter is `.' (ASCII 46).

     CDELIM, RDELIM, and DDELIM must contain only nul, newline, carriage return, semicolon, colon, slash, tab, space, comma, or `()[]{}' (ASCII 0, 9, 10, 11, 12, 13, 14, 32, 33, 34, 40, 41, 44, 47, 58, 59, 91, 93, 123, 124, 125).

     Examples:

          str2double ("-.1e-5")
          => -1.0000e-006

          str2double (".314e1, 44.44e-1, .7; -1e+1")
          =>
             3.1400    4.4440    0.7000
           -10.0000       NaN       NaN

          line = "200, 300, NaN, -inf, yes, no, 999, maybe, NaN";
          [x, status] = str2double (line)
          => x =
              200   300   NaN  -Inf   NaN   NaN   999   NaN   NaN
          => status =
                0     0     0     0    -1    -1     0    -1     0
     See also: str2num.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 36
Convert strings into numeric values.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
strtrim
# name: <cell-element>
# type: string
# elements: 1
# length: 397
 -- Function File:  strtrim (S)
     Remove leading and trailing blanks and nulls from S.  If S is a matrix, STRTRIM trims each row to the length of longest string.  If S is a cell array, operate recursively on each element of the cell array.  For example:

          strtrim ("    abc  ")
               => "abc"

          strtrim ([" abc   "; "   def   "])
               => ["abc  "; "  def"]

# name: <cell-element>
# type: string
# elements: 1
# length: 52
Remove leading and trailing blanks and nulls from S.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
substr
# name: <cell-element>
# type: string
# elements: 1
# length: 498
 -- Function File:  substr (S, OFFSET, LEN)
     Return the substring of S which starts at character number OFFSET and is LEN characters long.

     If OFFSET is negative, extraction starts that far from the end of the string.  If LEN is omitted, the substring extends to the end of S.

     For example,

          substr ("This is a test string", 6, 9)
               => "is a test"

     This function is patterned after AWK.  You can get the same result by `S(OFFSET : (OFFSET + LEN - 1))'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 93
Return the substring of S which starts at character number OFFSET and is LEN characters long.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
deblank
# name: <cell-element>
# type: string
# elements: 1
# length: 234
 -- Function File:  deblank (S)
     Remove trailing blanks and nulls from S.  If S is a matrix, DEBLANK trims each row to the length of longest string.  If S is a cell array, operate recursively on each element of the cell array.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 40
Remove trailing blanks and nulls from S.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
dec2bin
# name: <cell-element>
# type: string
# elements: 1
# length: 496
 -- Function File:  dec2bin (N, LEN)
     Return a binary number corresponding to the non-negative decimal number N, as a string of ones and zeros.  For example,

          dec2bin (14)
               => "1110"

     If N is a vector, returns a string matrix, one row per value, padded with leading zeros to the width of the largest value.

     The optional second argument, LEN, specifies the minimum number of digits in the result.  See also: bin2dec, dec2base, base2dec, hex2dec, dec2hex.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 105
Return a binary number corresponding to the non-negative decimal number N, as a string of ones and zeros.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
blanks
# name: <cell-element>
# type: string
# elements: 1
# length: 377
 -- Function File:  blanks (N)
     Return a string of N blanks, for example:

          blanks(10);
          whos ans;
               =>
                Attr Name        Size                     Bytes  Class
                ==== ====        ====                     =====  =====
                     ans         1x10                        10  char
     See also: repmat.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 42
Return a string of N blanks, for example: 

# name: <cell-element>
# type: string
# elements: 1
# length: 7
str2num
# name: <cell-element>
# type: string
# elements: 1
# length: 529
 -- Function File:  str2num (S)
     Convert the string (or character array) S to a number (or an array).  Examples:

          str2num("3.141596")
               => 3.141596

          str2num(["1, 2, 3"; "4, 5, 6"]);
               => ans =
                  1  2  3
                  4  5  6

     *Caution:* As `str2num' uses the `eval' function to do the conversion, `str2num' will execute any code contained in the string S.  Use `str2double' instead if you want to avoid the use of `eval'.  See also: str2double, eval.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 68
Convert the string (or character array) S to a number (or an array).

# name: <cell-element>
# type: string
# elements: 1
# length: 7
hex2dec
# name: <cell-element>
# type: string
# elements: 1
# length: 418
 -- Function File:  hex2dec (S)
     Return the integer corresponding to the hexadecimal number stored in the string S.  For example,

          hex2dec ("12B")
               => 299
          hex2dec ("12b")
               => 299

     If S is a string matrix, returns a column vector of converted numbers, one per row of S.  Invalid rows evaluate to NaN.  See also: dec2hex, base2dec, dec2base, bin2dec, dec2bin.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 82
Return the integer corresponding to the hexadecimal number stored in the string S.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
strcat
# name: <cell-element>
# type: string
# elements: 1
# length: 746
 -- Function File:  strcat (S1, S2, ...)
     Return a string containing all the arguments concatenated horizontally.  If the arguments are cells strings,  `strcat' returns a cell string with the individual cells concatenated.  For numerical input, each element is converted to the corresponding ASCII character.  Trailing white space is eliminated.  For example,

          s = [ "ab"; "cde" ];
          strcat (s, s, s)
               => ans =
                  "ab ab ab "
                  "cdecdecde"

          s = { "ab"; "cde" };
          strcat (s, s, s)
               => ans =
                  {
                    [1,1] = ababab
                    [2,1] = cdecdecde
                  }

     See also: cstrcat, char, strvcat.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 71
Return a string containing all the arguments concatenated horizontally.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
index
# name: <cell-element>
# type: string
# elements: 1
# length: 572
 -- Function File:  index (S, T)
 -- Function File:  index (S, T, DIRECTION)
     Return the position of the first occurrence of the string T in the string S, or 0 if no occurrence is found.  For example,

          index ("Teststring", "t")
               => 4

     If DIRECTION is `"first"', return the first element found.  If DIRECTION is `"last"', return the last element found.  The `rindex' function is equivalent to `index' with DIRECTION set to `"last"'.

     *Caution:*  This function does not work for arrays of character strings.  See also: find, rindex.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 108
Return the position of the first occurrence of the string T in the string S, or 0 if no occurrence is found.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
strjust
# name: <cell-element>
# type: string
# elements: 1
# length: 486
 -- Function File:  strjust (S, ["left"|"right"|"center"])
     Shift the non-blank text of S to the left, right or center of the string.  If S is a string array, justify each string in the array.  Null characters are replaced by blanks.  If no justification is specified, then all rows are right-justified.  For example:

          strjust (["a"; "ab"; "abc"; "abcd"])
               => ans =
                     a
                    ab
                   abc
                  abcd

# name: <cell-element>
# type: string
# elements: 1
# length: 73
Shift the non-blank text of S to the left, right or center of the string.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
strchr
# name: <cell-element>
# type: string
# elements: 1
# length: 410
 -- Function File: IDX = strchr (STR, CHARS)
 -- Function File: IDX = strchr (STR, CHARS, N)
 -- Function File: IDX = strchr (STR, CHARS, N, DIRECTION)
     Search for the string STR for occurrences of characters from the set CHARS.  The return value, as well as the N and DIRECTION arguments behave identically as in `find'.

     This will be faster than using regexp in most cases.

     See also: find.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 75
Search for the string STR for occurrences of characters from the set CHARS.

# name: <cell-element>
# type: string
# elements: 1
# length: 15
regexptranslate
# name: <cell-element>
# type: string
# elements: 1
# length: 772
 -- Function File:  regexptranslate (OP, S)
     Translate a string for use in a regular expression.  This might include either wildcard replacement or special character escaping.  The behavior can be controlled by the OP that can have the values

    "wildcard"
          The wildcard characters `.', `*' and `?' are replaced with wildcards that are appropriate for a regular expression.  For example:
               regexptranslate ("wildcard", "*.m")
                    => ".*\.m"

    "escape"
          The characters `$.?[]', that have special meaning for regular expressions are escaped so that they are treated literally.  For example:
               regexptranslate ("escape", "12.5")
                    => "12\.5"
     See also: regexp, regexpi, regexprep.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 51
Translate a string for use in a regular expression.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
rindex
# name: <cell-element>
# type: string
# elements: 1
# length: 345
 -- Function File:  rindex (S, T)
     Return the position of the last occurrence of the character string T in the character string S, or 0 if no occurrence is found.  For example,

          rindex ("Teststring", "t")
               => 6

     *Caution:*  This function does not work for arrays of character strings.  See also: find, index.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 127
Return the position of the last occurrence of the character string T in the character string S, or 0 if no occurrence is found.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
glpk
# name: <cell-element>
# type: string
# elements: 1
# length: 11571
 -- Function File: [XOPT, FMIN, STATUS, EXTRA] = glpk (C, A, B, LB, UB, CTYPE, VARTYPE, SENSE, PARAM)
     Solve a linear program using the GNU GLPK library.  Given three arguments, `glpk' solves the following standard LP:

          min C'*x

     subject to

          A*x  = b
            x >= 0

     but may also solve problems of the form

          [ min | max ] C'*x

     subject to

          A*x [ "=" | "<=" | ">=" ] b
            x >= LB
            x <= UB

     Input arguments:

    C
          A column array containing the objective function coefficients.

    A
          A matrix containing the constraints coefficients.

    B
          A column array containing the right-hand side value for each constraint in the constraint matrix.

    LB
          An array containing the lower bound on each of the variables.  If LB is not supplied, the default lower bound for the variables is zero.

    UB
          An array containing the upper bound on each of the variables.  If UB is not supplied, the default upper bound is assumed to be infinite.

    CTYPE
          An array of characters containing the sense of each constraint in the constraint matrix.  Each element of the array may be one of the following values
         `"F"'
               A free (unbounded) constraint (the constraint is ignored).

         `"U"'
               An inequality constraint with an upper bound (`A(i,:)*x <= b(i)').

         `"S"'
               An equality constraint (`A(i,:)*x = b(i)').

         `"L"'
               An inequality with a lower bound (`A(i,:)*x >= b(i)').

         `"D"'
               An inequality constraint with both upper and lower bounds (`A(i,:)*x >= -b(i)' _and_ (`A(i,:)*x <= b(i)').

    VARTYPE
          A column array containing the types of the variables.
         `"C"'
               A continuous variable.

         `"I"'
               An integer variable.

    SENSE
          If SENSE is 1, the problem is a minimization.  If SENSE is -1, the problem is a maximization.  The default value is 1.

    PARAM
          A structure containing the following parameters used to define the behavior of solver.  Missing elements in the structure take on default values, so you only need to set the elements that you wish to change from the default.

          Integer parameters:

         `msglev (`LPX_K_MSGLEV', default: 1)'
               Level of messages output by solver routines:
              0
                    No output.

              1
                    Error messages only.

              2
                    Normal output .

              3
                    Full output (includes informational messages).

         `scale (`LPX_K_SCALE', default: 1)'
               Scaling option:
              0
                    No scaling.

              1
                    Equilibration scaling.

              2
                    Geometric mean scaling, then equilibration scaling.

         `dual	 (`LPX_K_DUAL', default: 0)'
               Dual simplex option:
              0
                    Do not use the dual simplex.

              1
                    If initial basic solution is dual feasible, use the dual simplex.

         `price	 (`LPX_K_PRICE', default: 1)'
               Pricing option (for both primal and dual simplex):
              0
                    Textbook pricing.

              1
                    Steepest edge pricing.

         `round	 (`LPX_K_ROUND', default: 0)'
               Solution rounding option:
              0
                    Report all primal and dual values "as is".

              1
                    Replace tiny primal and dual values by exact zero.

         `itlim	 (`LPX_K_ITLIM', default: -1)'
               Simplex iterations limit.  If this value is positive, it is decreased by one each time when one simplex iteration has been performed, and reaching zero value signals the solver to stop the search.  Negative value means no iterations limit.

         `itcnt (`LPX_K_OUTFRQ', default: 200)'
               Output frequency, in iterations.  This parameter specifies how frequently the solver sends information about the solution to the standard output.

         `branch (`LPX_K_BRANCH', default: 2)'
               Branching heuristic option (for MIP only):
              0
                    Branch on the first variable.

              1
                    Branch on the last variable.

              2
                    Branch using a heuristic by Driebeck and Tomlin.

         `btrack (`LPX_K_BTRACK', default: 2)'
               Backtracking heuristic option (for MIP only):
              0
                    Depth first search.

              1
                    Breadth first search.

              2
                    Backtrack using the best projection heuristic.

         `presol (`LPX_K_PRESOL', default: 1)'
               If this flag is set, the routine lpx_simplex solves the problem using the built-in LP presolver.  Otherwise the LP presolver is not used.

         `lpsolver (default: 1)'
               Select which solver to use.  If the problem is a MIP problem this flag will be ignored.
              1
                    Revised simplex method.

              2
                    Interior point method.

         `save (default: 0)'
               If this parameter is nonzero, save a copy of the problem in CPLEX LP format to the file `"outpb.lp"'.  There is currently no way to change the name of the output file.

          Real parameters:

         `relax (`LPX_K_RELAX', default: 0.07)'
               Relaxation parameter used in the ratio test.  If it is zero, the textbook ratio test is used.  If it is non-zero (should be positive), Harris' two-pass ratio test is used.  In the latter case on the first pass of the ratio test basic variables (in the case of primal simplex) or reduced costs of non-basic variables (in the case of dual simplex) are allowed to slightly violate their bounds, but not more than `relax*tolbnd' or `relax*toldj (thus, `relax' is a percentage of `tolbnd' or `toldj''.

         `tolbnd (`LPX_K_TOLBND', default: 10e-7)'
               Relative tolerance used to check if the current basic solution is primal feasible.  It is not recommended that you change this parameter unless you have a detailed understanding of its purpose.

         `toldj (`LPX_K_TOLDJ', default: 10e-7)'
               Absolute tolerance used to check if the current basic solution is dual feasible.  It is not recommended that you change this parameter unless you have a detailed understanding of its purpose.

         `tolpiv (`LPX_K_TOLPIV', default: 10e-9)'
               Relative tolerance used to choose eligible pivotal elements of the simplex table.  It is not recommended that you change this parameter unless you have a detailed understanding of its purpose.

         `objll (`LPX_K_OBJLL', default: -DBL_MAX)'
               Lower limit of the objective function.  If on the phase II the objective function reaches this limit and continues decreasing, the solver stops the search.  This parameter is used in the dual simplex method only.

         `objul (`LPX_K_OBJUL', default: +DBL_MAX)'
               Upper limit of the objective function.  If on the phase II the objective function reaches this limit and continues increasing, the solver stops the search.  This parameter is used in the dual simplex only.

         `tmlim (`LPX_K_TMLIM', default: -1.0)'
               Searching time limit, in seconds.  If this value is positive, it is decreased each time when one simplex iteration has been performed by the amount of time spent for the iteration, and reaching zero value signals the solver to stop the search.  Negative value means no time limit.

         `outdly (`LPX_K_OUTDLY', default: 0.0)'
               Output delay, in seconds.  This parameter specifies how long the solver should delay sending information about the solution to the standard output.  Non-positive value means no delay.

         `tolint (`LPX_K_TOLINT', default: 10e-5)'
               Relative tolerance used to check if the current basic solution is integer feasible.  It is not recommended that you change this parameter unless you have a detailed understanding of its purpose.

         `tolobj (`LPX_K_TOLOBJ', default: 10e-7)'
               Relative tolerance used to check if the value of the objective function is not better than in the best known integer feasible solution.  It is not recommended that you change this parameter unless you have a detailed understanding of its purpose.

     Output values:

    XOPT
          The optimizer (the value of the decision variables at the optimum).

    FOPT
          The optimum value of the objective function.

    STATUS
          Status of the optimization.

          Simplex Method:
         180 (`LPX_OPT')
               Solution is optimal.

         181 (`LPX_FEAS')
               Solution is feasible.

         182 (`LPX_INFEAS')
               Solution is infeasible.

         183 (`LPX_NOFEAS')
               Problem has no feasible solution.

         184 (`LPX_UNBND')
               Problem has no unbounded solution.

         185 (`LPX_UNDEF')
               Solution status is undefined.
          Interior Point Method:
         150 (`LPX_T_UNDEF')
               The interior point method is undefined.

         151 (`LPX_T_OPT')
               The interior point method is optimal.
          Mixed Integer Method:
         170 (`LPX_I_UNDEF')
               The status is undefined.

         171 (`LPX_I_OPT')
               The solution is integer optimal.

         172 (`LPX_I_FEAS')
               Solution integer feasible but its optimality has not been proven

         173 (`LPX_I_NOFEAS')
               No integer feasible solution.
          If an error occurs, STATUS will contain one of the following codes:

         204 (`LPX_E_FAULT')
               Unable to start the search.

         205 (`LPX_E_OBJLL')
               Objective function lower limit reached.

         206 (`LPX_E_OBJUL')
               Objective function upper limit reached.

         207 (`LPX_E_ITLIM')
               Iterations limit exhausted.

         208 (`LPX_E_TMLIM')
               Time limit exhausted.

         209 (`LPX_E_NOFEAS')
               No feasible solution.

         210 (`LPX_E_INSTAB')
               Numerical instability.

         211 (`LPX_E_SING')
               Problems with basis matrix.

         212 (`LPX_E_NOCONV')
               No convergence (interior).

         213 (`LPX_E_NOPFS')
               No primal feasible solution (LP presolver).

         214 (`LPX_E_NODFS')
               No dual feasible solution (LP presolver).

    EXTRA
          A data structure containing the following fields:
         `lambda'
               Dual variables.

         `redcosts'
               Reduced Costs.

         `time'
               Time (in seconds) used for solving LP/MIP problem.

         `mem'
               Memory (in bytes) used for solving LP/MIP problem (this is not available if the version of GLPK is 4.15 or later).

     Example:

          c = [10, 6, 4]';
          a = [ 1, 1, 1;
               10, 4, 5;
                2, 2, 6];
          b = [100, 600, 300]';
          lb = [0, 0, 0]';
          ub = [];
          ctype = "UUU";
          vartype = "CCC";
          s = -1;

          param.msglev = 1;
          param.itlim = 100;

          [xmin, fmin, status, extra] = ...
             glpk (c, a, b, lb, ub, ctype, vartype, s, param);

# name: <cell-element>
# type: string
# elements: 1
# length: 50
Solve a linear program using the GNU GLPK library.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
lsqnonneg
# name: <cell-element>
# type: string
# elements: 1
# length: 1204
 -- Function File: X = lsqnonneg (C, D)
 -- Function File: X = lsqnonneg (C, D, X0)
 -- Function File: [X, RESNORM] = lsqnonneg (...)
 -- Function File: [X, RESNORM, RESIDUAL] = lsqnonneg (...)
 -- Function File: [X, RESNORM, RESIDUAL, EXITFLAG] = lsqnonneg (...)
 -- Function File: [X, RESNORM, RESIDUAL, EXITFLAG, OUTPUT] = lsqnonneg (...)
 -- Function File: [X, RESNORM, RESIDUAL, EXITFLAG, OUTPUT, LAMBDA] = lsqnonneg (...)
     Minimize `norm (C*X-d)' subject to `X >= 0'.  C and D must be real.  X0 is an optional initial guess for X.

     Outputs:
        * resnorm

          The squared 2-norm of the residual: norm(C*X-D)^2

        * residual

          The residual: D-C*X

        * exitflag

          An indicator of convergence.  0 indicates that the iteration count was exceeded, and therefore convergence was not reached; >0 indicates that the algorithm converged.  (The algorithm is stable and will converge given enough iterations.)

        * output

          A structure with two fields:
             * "algorithm": The algorithm used ("nnls")

             * "iterations": The number of iterations taken.

        * lambda

          Not implemented.
     See also: optimset.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 44
Minimize `norm (C*X-d)' subject to `X >= 0'.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
fsolve
# name: <cell-element>
# type: string
# elements: 1
# length: 4012
 -- Function File:  fsolve (FCN, X0, OPTIONS)
 -- Function File: [X, FVEC, INFO, OUTPUT, FJAC] = fsolve (FCN, ...)
     Solve a system of nonlinear equations defined by the function FCN.  FCN should accepts a vector (array) defining the unknown variables, and return a vector of left-hand sides of the equations.  Right-hand sides are defined to be zeros.  In other words, this function attempts to determine a vector X such that `FCN (X)' gives (approximately) all zeros.  X0 determines a starting guess.  The shape of X0 is preserved in all calls to FCN, but otherwise it is treated as a column vector.  OPTIONS is a structure specifying additional options.  Currently, `fsolve' recognizes these options: `"FunValCheck"', `"OutputFcn"', `"TolX"', `"TolFun"', `"MaxIter"', `"MaxFunEvals"', `"Jacobian"', `"Updating"' and `"ComplexEqn"'.

     If `"Jacobian"' is `"on"', it specifies that FCN, called with 2 output arguments, also returns the Jacobian matrix of right-hand sides at the requested point.  `"TolX"' specifies the termination tolerance in the unknown variables, while `"TolFun"' is a tolerance for equations.  Default is `1e-7' for both `"TolX"' and `"TolFun"'.  If `"Updating"' is "on", the function will attempt to use Broyden updates to update the Jacobian, in order to reduce the amount of jacobian calculations.  If your user function always calculates the Jacobian (regardless of number of output arguments), this option provides no advantage and should be set to false.

     `"ComplexEqn"' is `"on"', `fsolve' will attempt to solve complex equations in complex variables, assuming that the equations possess a complex derivative (i.e., are holomorphic).  If this is not what you want, should unpack the real and imaginary parts of the system to get a real system.

     For description of the other options, see `optimset'.

     On return, FVAL contains the value of the function FCN evaluated at X, and INFO may be one of the following values:

    1
          Converged to a solution point.  Relative residual error is less than specified by TolFun.

    2
          Last relative step size was less that TolX.

    3
          Last relative decrease in residual was less than TolF.

    0
          Iteration limit exceeded.

    -3
          The trust region radius became excessively small.

     Note: If you only have a single nonlinear equation of one variable, using `fzero' is usually a much better idea.  See also: fzero, optimset.

     Note about user-supplied jacobians: As an inherent property of the algorithm, jacobian is always requested for a solution vector whose residual vector is already known, and it is the last accepted successful step.  Often this will be one of the last two calls, but not always.  If the savings by reusing intermediate results from residual calculation in jacobian calculation are significant, the best strategy is to employ OutputFcn: After a vector is evaluated for residuals, if OutputFcn is called with that vector, then the intermediate results should be saved for future jacobian evaluation, and should be kept until a jacobian evaluation is requested or until outputfcn is called with a different vector, in which case they should be dropped in favor of this most recent vector.  A short example how this can be achieved follows:

          function [fvec, fjac] = user_func (x, optimvalues, state)
          persistent sav = [], sav0 = [];
          if (nargin == 1)
            ## evaluation call
            if (nargout == 1)
              sav0.x = x; # mark saved vector
              ## calculate fvec, save results to sav0.
            elseif (nargout == 2)
              ## calculate fjac using sav.
            endif
          else
            ## outputfcn call.
            if (all (x == sav0.x))
              sav = sav0;
            endif
            ## maybe output iteration status, etc.
          endif
          endfunction

           ....

          fsolve (@user_func, x0, optimset ("OutputFcn", @user_func, ...))

   
# name: <cell-element>
# type: string
# elements: 1
# length: 66
Solve a system of nonlinear equations defined by the function FCN.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
optimget
# name: <cell-element>
# type: string
# elements: 1
# length: 293
 -- Function File:  optimget (OPTIONS, PARNAME)
 -- Function File:  optimget (OPTIONS, PARNAME, DEFAULT)
     Return a specific option from a structure created by `optimset'.  If PARNAME is not a field of the OPTIONS structure, return DEFAULT if supplied, otherwise return an empty matrix.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 64
Return a specific option from a structure created by `optimset'.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
fzero
# name: <cell-element>
# type: string
# elements: 1
# length: 962
 -- Function File: [X, FVAL, INFO, OUTPUT] = fzero (FUN, X0, OPTIONS)
     Find a zero point of a univariate function.  FUN should be a function handle or name.  X0 specifies a starting point.  OPTIONS is a structure specifying additional options.  Currently, `fzero' recognizes these options: `"FunValCheck"', `"OutputFcn"', `"TolX"', `"MaxIter"', `"MaxFunEvals"'.  For description of these options, see *note optimset: doc-optimset.

     On exit, the function returns X, the approximate zero point and FVAL, the function value thereof.  INFO is an exit flag that can have these values:
        * 1 The algorithm converged to a solution.

        * 0 Maximum number of iterations or function evaluations has been exhausted.

        * -1 The algorithm has been terminated from user output function.

        * -2 A general unexpected error.

        * -3 A non-real value encountered.

        * -4 A NaN value encountered.
     See also: optimset, fsolve.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 43
Find a zero point of a univariate function.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
glpkmex
# name: <cell-element>
# type: string
# elements: 1
# length: 293
 -- Function File: [XOPT, FMIN, STATUS, EXTRA] = glpkmex (SENSE, C, A, B, CTYPE, LB, UB, VARTYPE, PARAM, LPSOLVER, SAVE_PB)
     This function is provided for compatibility with the old MATLAB interface to the GNU GLPK library.  For Octave code, you should use the `glpk' function instead.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 98
This function is provided for compatibility with the old MATLAB interface to the GNU GLPK library.

# name: <cell-element>
# type: string
# elements: 1
# length: 2
qp
# name: <cell-element>
# type: string
# elements: 1
# length: 1066
 -- Function File: [X, OBJ, INFO, LAMBDA] = qp (X0, H, Q, A, B, LB, UB, A_LB, A_IN, A_UB)
     Solve the quadratic program

               min 0.5 x'*H*x + x'*q
                x

     subject to

               A*x = b
               lb <= x <= ub
               A_lb <= A_in*x <= A_ub

     using a null-space active-set method.

     Any bound (A, B, LB, UB, A_LB, A_UB) may be set to the empty matrix (`[]') if not present.  If the initial guess is feasible the algorithm is faster.

     The value INFO is a structure with the following fields:
    `solveiter'
          The number of iterations required to find the solution.

    `info'
          An integer indicating the status of the solution, as follows:
         0
               The problem is feasible and convex.  Global solution found.

         1
               The problem is not convex.  Local solution found.

         2
               The problem is not convex and unbounded.

         3
               Maximum number of iterations reached.

         6
               The problem is infeasible.

# name: <cell-element>
# type: string
# elements: 1
# length: 28
Solve the quadratic program 

# name: <cell-element>
# type: string
# elements: 1
# length: 7
fminunc
# name: <cell-element>
# type: string
# elements: 1
# length: 1805
 -- Function File:  fminunc (FCN, X0, OPTIONS)
 -- Function File: [X, FVEC, INFO, OUTPUT, FJAC] = fminunc (FCN, ...)
     Solve a unconstrained optimization problem defined by the function FCN.  FCN should accepts a vector (array) defining the unknown variables, and return the objective function value, optionally with gradient.  In other words, this function attempts to determine a vector X such that `FCN (X)' is a local minimum.  X0 determines a starting guess. The shape of X0 is preserved in all calls to FCN, but otherwise it is treated as a column vector.  OPTIONS is a structure specifying additional options.  Currently, `fminunc' recognizes these options: `"FunValCheck"', `"OutputFcn"', `"TolX"', `"TolFun"', `"MaxIter"', `"MaxFunEvals"', `"GradObj"', `"FinDiffType"'.

     If `"GradObj"' is `"on"', it specifies that FCN, called with 2 output arguments, also returns the Jacobian matrix of right-hand sides at the requested point.  `"TolX"' specifies the termination tolerance in the unknown variables, while `"TolFun"' is a tolerance for equations. Default is `1e-7' for both `"TolX"' and `"TolFun"'.

     For description of the other options, see `optimset'.

     On return, FVAL contains the value of the function FCN evaluated at X, and INFO may be one of the following values:

    1
          Converged to a solution point. Relative gradient error is less than specified by TolFun.

    2
          Last relative step size was less that TolX.

    3
          Last relative decrease in func value was less than TolF.

    0
          Iteration limit exceeded.

    -3
          The trust region radius became excessively small.

     Note: If you only have a single nonlinear equation of one variable, using `fminbnd' is usually a much better idea.  See also: fminbnd, optimset.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 71
Solve a unconstrained optimization problem defined by the function FCN.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
sqp
# name: <cell-element>
# type: string
# elements: 1
# length: 3958
 -- Function File: [X, OBJ, INFO, ITER, NF, LAMBDA] = sqp (X, PHI, G, H, LB, UB, MAXITER, TOLERANCE)
     Solve the nonlinear program

               min phi (x)
                x

     subject to

               g(x)  = 0
               h(x) >= 0
               lb <= x <= ub

     using a successive quadratic programming method.

     The first argument is the initial guess for the vector X.

     The second argument is a function handle pointing to the objective function.  The objective function must be of the form

               y = phi (x)

     in which X is a vector and Y is a scalar.

     The second argument may also be a 2- or 3-element cell array of function handles.  The first element should point to the objective function, the second should point to a function that computes the gradient of the objective function, and the third should point to a function to compute the hessian of the objective function.  If the gradient function is not supplied, the gradient is computed by finite differences.  If the hessian function is not supplied, a BFGS update formula is used to approximate the hessian.

     If supplied, the gradient function must be of the form

          g = gradient (x)

     in which X is a vector and G is a vector.

     If supplied, the hessian function must be of the form

          h = hessian (x)

     in which X is a vector and H is a matrix.

     The third and fourth arguments are function handles pointing to functions that compute the equality constraints and the inequality constraints, respectively.

     If your problem does not have equality (or inequality) constraints, you may pass an empty matrix for CEF (or CIF).

     If supplied, the equality and inequality constraint functions must be of the form

          r = f (x)

     in which X is a vector and R is a vector.

     The third and fourth arguments may also be 2-element cell arrays of function handles.  The first element should point to the constraint function and the second should point to a function that computes the gradient of the constraint function:

                          [ d f(x)   d f(x)        d f(x) ]
              transpose ( [ ------   -----   ...   ------ ] )
                          [  dx_1     dx_2          dx_N  ]

     The fifth and sixth arguments are vectors containing lower and upper bounds on X.  These must be consistent with equality and inequality constraints G and H.  If the bounds are not specified, or are empty, they are set to -REALMAX and REALMAX by default.

     The seventh argument is max. number of iterations.  If not specified, the default value is 100.

     The eighth argument is tolerance for stopping criteria.  If not specified, the default value is EPS.

     Here is an example of calling `sqp':

          function r = g (x)
            r = [ sumsq(x)-10;
                  x(2)*x(3)-5*x(4)*x(5);
                  x(1)^3+x(2)^3+1 ];
          endfunction

          function obj = phi (x)
            obj = exp(prod(x)) - 0.5*(x(1)^3+x(2)^3+1)^2;
          endfunction

          x0 = [-1.8; 1.7; 1.9; -0.8; -0.8];

          [x, obj, info, iter, nf, lambda] = sqp (x0, @phi, @g, [])

          x =

            -1.71714
             1.59571
             1.82725
            -0.76364
            -0.76364

          obj = 0.053950
          info = 101
          iter = 8
          nf = 10
          lambda =

            -0.0401627
             0.0379578
            -0.0052227

     The value returned in INFO may be one of the following:
    101
          The algorithm terminated because the norm of the last step was less than `tol * norm (x))' (the value of tol is currently fixed at `sqrt (eps)'--edit `sqp.m' to modify this value.

    102
          The BFGS update failed.

    103
          The maximum number of iterations was reached (the maximum number of allowed iterations is currently fixed at 100--edit `sqp.m' to increase this value).
     See also: qp.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 28
Solve the nonlinear program 

# name: <cell-element>
# type: string
# elements: 1
# length: 8
optimset
# name: <cell-element>
# type: string
# elements: 1
# length: 225
 -- Function File:  optimset ()
 -- Function File:  optimset (PAR, VAL, ...)
 -- Function File:  optimset (OLD, PAR, VAL, ...)
 -- Function File:  optimset (OLD, NEW)
     Create options struct for optimization functions.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 49
Create options struct for optimization functions.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
acoth
# name: <cell-element>
# type: string
# elements: 1
# length: 121
 -- Mapping Function:  acoth (X)
     Compute the inverse hyperbolic cotangent of each element of X.  See also: coth.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 62
Compute the inverse hyperbolic cotangent of each element of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
acotd
# name: <cell-element>
# type: string
# elements: 1
# length: 125
 -- Function File:  acotd (X)
     Compute the inverse cotangent in degrees for each element of X.  See also: cotd, acot.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 63
Compute the inverse cotangent in degrees for each element of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
tand
# name: <cell-element>
# type: string
# elements: 1
# length: 226
 -- Function File:  tand (X)
     Compute the tangent for each element of X in degrees.  Returns zero for elements where `X/180' is an integer and `Inf' for elements where `(X-90)/180' is an integer.  See also: atand, tan.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 53
Compute the tangent for each element of X in degrees.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
acot
# name: <cell-element>
# type: string
# elements: 1
# length: 127
 -- Mapping Function:  acot (X)
     Compute the inverse cotangent in radians for each element of X.  See also: cot, acotd.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 63
Compute the inverse cotangent in radians for each element of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
coth
# name: <cell-element>
# type: string
# elements: 1
# length: 113
 -- Mapping Function:  coth (X)
     Compute the hyperbolic cotangent of each element of X.  See also: acoth.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 54
Compute the hyperbolic cotangent of each element of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
sec
# name: <cell-element>
# type: string
# elements: 1
# length: 121
 -- Mapping Function:  sec (X)
     Compute the secant for each element of X in radians.  See also: asec, secd, sech.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 52
Compute the secant for each element of X in radians.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
atand
# name: <cell-element>
# type: string
# elements: 1
# length: 123
 -- Function File:  atand (X)
     Compute the inverse tangent in degrees for each element of X.  See also: tand, atan.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 61
Compute the inverse tangent in degrees for each element of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
lcm
# name: <cell-element>
# type: string
# elements: 1
# length: 336
 -- Mapping Function:  lcm (X)
 -- Mapping Function:  lcm (X, ...)
     Compute the least common multiple of the elements of X, or of the list of all arguments.  For example,

          lcm (a1, ..., ak)

     is the same as

          lcm ([a1, ..., ak]).

     All elements must be the same size or scalar.  See also: factor, gcd.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 88
Compute the least common multiple of the elements of X, or of the list of all arguments.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
secd
# name: <cell-element>
# type: string
# elements: 1
# length: 113
 -- Function File:  secd (X)
     Compute the secant for each element of X in degrees.  See also: asecd, sec.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 52
Compute the secant for each element of X in degrees.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
cotd
# name: <cell-element>
# type: string
# elements: 1
# length: 116
 -- Function File:  cotd (X)
     Compute the cotangent for each element of X in degrees.  See also: acotd, cot.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 55
Compute the cotangent for each element of X in degrees.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
csch
# name: <cell-element>
# type: string
# elements: 1
# length: 112
 -- Mapping Function:  csch (X)
     Compute the hyperbolic cosecant of each element of X.  See also: acsch.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 53
Compute the hyperbolic cosecant of each element of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
asind
# name: <cell-element>
# type: string
# elements: 1
# length: 120
 -- Function File:  asind (X)
     Compute the inverse sine in degrees for each element of X.  See also: sind, asin.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 58
Compute the inverse sine in degrees for each element of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
asec
# name: <cell-element>
# type: string
# elements: 1
# length: 124
 -- Mapping Function:  asec (X)
     Compute the inverse secant in radians for each element of X.  See also: sec, asecd.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 60
Compute the inverse secant in radians for each element of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
acosd
# name: <cell-element>
# type: string
# elements: 1
# length: 122
 -- Function File:  acosd (X)
     Compute the inverse cosine in degrees for each element of X.  See also: cosd, acos.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 60
Compute the inverse cosine in degrees for each element of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
acsc
# name: <cell-element>
# type: string
# elements: 1
# length: 126
 -- Mapping Function:  acsc (X)
     Compute the inverse cosecant in radians for each element of X.  See also: csc, acscd.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 62
Compute the inverse cosecant in radians for each element of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
csc
# name: <cell-element>
# type: string
# elements: 1
# length: 123
 -- Mapping Function:  csc (X)
     Compute the cosecant for each element of X in radians.  See also: acsc, cscd, csch.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 54
Compute the cosecant for each element of X in radians.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
cot
# name: <cell-element>
# type: string
# elements: 1
# length: 124
 -- Mapping Function:  cot (X)
     Compute the cotangent for each element of X in radians.  See also: acot, cotd, coth.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 55
Compute the cotangent for each element of X in radians.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
sind
# name: <cell-element>
# type: string
# elements: 1
# length: 167
 -- Function File:  sind (X)
     Compute the sine for each element of X in degrees.  Returns zero for elements where `X/180' is an integer.  See also: asind, sin.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 50
Compute the sine for each element of X in degrees.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
sech
# name: <cell-element>
# type: string
# elements: 1
# length: 110
 -- Mapping Function:  sech (X)
     Compute the hyperbolic secant of each element of X.  See also: asech.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 51
Compute the hyperbolic secant of each element of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
asech
# name: <cell-element>
# type: string
# elements: 1
# length: 118
 -- Mapping Function:  asech (X)
     Compute the inverse hyperbolic secant of each element of X.  See also: sech.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 59
Compute the inverse hyperbolic secant of each element of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
asecd
# name: <cell-element>
# type: string
# elements: 1
# length: 122
 -- Function File:  asecd (X)
     Compute the inverse secant in degrees for each element of X.  See also: secd, asec.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 60
Compute the inverse secant in degrees for each element of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
cosd
# name: <cell-element>
# type: string
# elements: 1
# length: 174
 -- Function File:  cosd (X)
     Compute the cosine for each element of X in degrees.  Returns zero for elements where `(X-90)/180' is an integer.  See also: acosd, cos.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 52
Compute the cosine for each element of X in degrees.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
cscd
# name: <cell-element>
# type: string
# elements: 1
# length: 115
 -- Function File:  cscd (X)
     Compute the cosecant for each element of X in degrees.  See also: acscd, csc.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 54
Compute the cosecant for each element of X in degrees.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
acscd
# name: <cell-element>
# type: string
# elements: 1
# length: 124
 -- Function File:  acscd (X)
     Compute the inverse cosecant in degrees for each element of X.  See also: cscd, acsc.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 62
Compute the inverse cosecant in degrees for each element of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
acsch
# name: <cell-element>
# type: string
# elements: 1
# length: 120
 -- Mapping Function:  acsch (X)
     Compute the inverse hyperbolic cosecant of each element of X.  See also: csch.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 61
Compute the inverse hyperbolic cosecant of each element of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
etreeplot
# name: <cell-element>
# type: string
# elements: 1
# length: 286
 -- Function File:  etreeplot (TREE)
 -- Function File:  etreeplot (TREE, NODE_STYLE, EDGE_STYLE)
     Plot the elimination tree of the matrix S or `S+S''  if S in non-symmetric.  The optional parameters LINE_STYLE and EDGE_STYLE define the output style.  See also: treeplot, gplot.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 74
Plot the elimination tree of the matrix S or `S+S'' if S in non-symmetric.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
gplot
# name: <cell-element>
# type: string
# elements: 1
# length: 564
 -- Function File:  gplot (A, XY)
 -- Function File:  gplot (A, XY, LINE_STYLE)
 -- Function File: [X, Y] = gplot (A, XY)
     Plot a graph defined by A and XY in the graph theory sense.  A is the adjacency matrix of the array to be plotted and XY is an N-by-2 matrix containing the coordinates of the nodes of the graph.

     The optional parameter LINE_STYLE defines the output style for the plot.  Called with no output arguments the graph is plotted directly.  Otherwise, return the coordinates of the plot in X and Y.  See also: treeplot, etreeplot, spy.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 59
Plot a graph defined by A and XY in the graph theory sense.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
spstats
# name: <cell-element>
# type: string
# elements: 1
# length: 570
 -- Function File: [COUNT, MEAN, VAR] = spstats (S)
 -- Function File: [COUNT, MEAN, VAR] = spstats (S, J)
     Return the stats for the non-zero elements of the sparse matrix S.  COUNT is the number of non-zeros in each column, MEAN is the mean of the non-zeros in each column, and VAR is the variance of the non-zeros in each column.

     Called with two input arguments, if S is the data and J is the bin number for the data, compute the stats for each bin.  In this case, bins can contain data values of zero, whereas with `spstats (S)' the zeros may disappear.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 66
Return the stats for the non-zero elements of the sparse matrix S.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
treeplot
# name: <cell-element>
# type: string
# elements: 1
# length: 373
 -- Function File:  treeplot (TREE)
 -- Function File:  treeplot (TREE, LINE_STYLE, EDGE_STYLE)
     Produces a graph of tree or forest.  The first argument is vector of predecessors, optional parameters LINE_STYLE and EDGE_STYLE define the output style.  The complexity of the algorithm is O(n) in terms of is time and memory requirements.  See also: etreeplot, gplot.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 35
Produces a graph of tree or forest.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
spones
# name: <cell-element>
# type: string
# elements: 1
# length: 147
 -- Function File: Y = spones (X)
     Replace the non-zero entries of X with ones.  This creates a sparse matrix with the same structure as X.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 44
Replace the non-zero entries of X with ones.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
nonzeros
# name: <cell-element>
# type: string
# elements: 1
# length: 105
 -- Function File:  nonzeros (S)
     Returns a vector of the non-zero values of the sparse matrix S.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 63
Returns a vector of the non-zero values of the sparse matrix S.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
bicgstab
# name: <cell-element>
# type: string
# elements: 1
# length: 1097
 -- Function File:  bicgstab (A, B)
 -- Function File:  bicgstab (A, B, TOL, MAXIT, M1, M2, X0)
     This procedure attempts to solve a system of linear equations A*x = b for x.  The A must be square, symmetric and positive definite real matrix N*N.  The B must be a one column vector with a length of N.  The TOL specifies the tolerance of the method, the default value is 1e-6.  The MAXIT specifies the maximum number of iterations, the default value is min(20,N).  The M1 specifies a preconditioner, can also be a function handler which returns M\X.  The M2 combined with M1 defines preconditioner as preconditioner=M1*M2.  The X0 is the initial guess, the default value is zeros(N,1).

     The value X is a computed result of this procedure.  The value FLAG can be 0 when we reach tolerance in MAXIT iterations, 1 when we don't reach tolerance in MAXIT iterations and 3 when the procedure stagnates.  The value RELRES is a relative residual - norm(b-A*x)/norm(b).  The value ITER is an iteration number in which x was computed.  The value RESVEC is a vector of RELRES for each iteration.

   
# name: <cell-element>
# type: string
# elements: 1
# length: 76
This procedure attempts to solve a system of linear equations A*x = b for x.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
treelayout
# name: <cell-element>
# type: string
# elements: 1
# length: 381
 -- Function File:  treelayout (TREE)
 -- Function File:  treelayout (TREE, PERMUTATION)
     treelayout lays out a tree or a forest.  The first argument TREE is a vector of predecessors, optional parameter PERMUTATION is an optional postorder permutation.  The complexity of the algorithm is O(n) in terms of time and memory requirements.  See also: etreeplot, gplot,treeplot.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 39
treelayout lays out a tree or a forest.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
sphcat
# name: <cell-element>
# type: string
# elements: 1
# length: 211
 -- Function File: Y = sphcat (A1, A2, ..., AN)
     Return the horizontal concatenation of sparse matrices.  This function is obselete and `horzcat' should be used.  See also: spvcat, vertcat, horzcat, cat.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 55
Return the horizontal concatenation of sparse matrices.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
sprandsym
# name: <cell-element>
# type: string
# elements: 1
# length: 606
 -- Function File:  sprandsym (N, D)
 -- Function File:  sprandsym (S)
     Generate a symmetric random sparse matrix.  The size of the matrix will be N by N, with a density of values given by D.  D should be between 0 and 1. Values will be normally distributed with mean of zero and variance 1.

     Note: sometimes the actual density may be a bit smaller than D.  This is unlikely to happen for large really sparse matrices.

     If called with a single matrix argument, a random sparse matrix is generated wherever the matrix S is non-zero in its lower triangular part.  See also: sprand, sprandn.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 42
Generate a symmetric random sparse matrix.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
cgs
# name: <cell-element>
# type: string
# elements: 1
# length: 666
 -- Function File:  cgs (A, B)
 -- Function File:  cgs (A, B, TOL, MAXIT, M1, M2, X0)
     This procedure attempts to solve a system of linear equations A*x = b for x.  The A must be square, symmetric and positive definite real matrix N*N.  The B must be a one column vector with a length of N.  The TOL specifies the tolerance of the method, default value is 1e-6.  The MAXIT specifies the maximum number of iteration, default value is MIN(20,N).  The M1 specifies a preconditioner, can also be a function handler which returns M\X.  The M2 combined with M1 defines preconditioner as preconditioner=M1*M2.  The X0 is initial guess, default value is zeros(N,1).

   
# name: <cell-element>
# type: string
# elements: 1
# length: 76
This procedure attempts to solve a system of linear equations A*x = b for x.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
pcg
# name: <cell-element>
# type: string
# elements: 1
# length: 5631
 -- Function File: X = pcg (A, B, TOL, MAXIT, M1, M2, X0, ...)
 -- Function File: [X, FLAG, RELRES, ITER, RESVEC, EIGEST] = pcg (...)
     Solves the linear system of equations `A * X = B' by means of the Preconditioned Conjugate Gradient iterative method.  The input arguments are

        * A can be either a square (preferably sparse) matrix or a function handle, inline function or string containing the name of a function which computes `A * X'.  In principle A should be symmetric and positive definite; if `pcg' finds A to not be positive definite, you will get a warning message and the FLAG output parameter will be set.

        * B is the right hand side vector.

        * TOL is the required relative tolerance for the residual error, `B - A * X'.  The iteration stops if `norm (B - A * X) <= TOL * norm (B - A * X0)'.  If TOL is empty or is omitted, the function sets `TOL = 1e-6' by default.

        * MAXIT is the maximum allowable number of iterations; if `[]' is supplied for `maxit', or `pcg' has less arguments, a default value equal to 20 is used.

        * M = M1 * M2 is the (left) preconditioning matrix, so that the iteration is (theoretically) equivalent to solving by `pcg' `P * X = M \ B', with `P = M \ A'.  Note that a proper choice of the preconditioner may dramatically improve the overall performance of the method.  Instead of matrices M1 and M2, the user may pass two functions which return the results of applying the inverse of M1 and M2 to a vector (usually this is the preferred way of using the preconditioner).  If `[]' is supplied for M1, or M1 is omitted, no preconditioning is applied.  If M2 is omitted, M = M1 will be used as preconditioner.

        * X0 is the initial guess.  If X0 is empty or omitted, the function sets X0 to a zero vector by default.

     The arguments which follow X0 are treated as parameters, and passed in a proper way to any of the functions (A or M) which are passed to `pcg'.  See the examples below for further details.  The output arguments are

        * X is the computed approximation to the solution of `A * X = B'.

        * FLAG reports on the convergence.  `FLAG = 0' means the solution converged and the tolerance criterion given by TOL is satisfied.  `FLAG = 1' means that the MAXIT limit for the iteration count was reached.  `FLAG = 3' reports that the (preconditioned) matrix was found not positive definite.

        * RELRES is the ratio of the final residual to its initial value, measured in the Euclidean norm.

        * ITER is the actual number of iterations performed.

        * RESVEC describes the convergence history of the method.  `RESVEC (i,1)' is the Euclidean norm of the residual, and `RESVEC (i,2)' is the preconditioned residual norm, after the (I-1)-th iteration, `I = 1, 2, ..., ITER+1'.  The preconditioned residual norm is defined as `norm (R) ^ 2 = R' * (M \ R)' where `R = B - A * X', see also the description of M.  If EIGEST is not required, only `RESVEC (:,1)' is returned.

        * EIGEST returns the estimate for the smallest `EIGEST (1)' and largest `EIGEST (2)' eigenvalues of the preconditioned matrix `P = M \ A'.  In particular, if no preconditioning is used, the estimates for the extreme eigenvalues of A are returned.  `EIGEST (1)' is an overestimate and `EIGEST (2)' is an underestimate, so that `EIGEST (2) / EIGEST (1)' is a lower bound for `cond (P, 2)', which nevertheless in the limit should theoretically be equal to the actual value of the condition number.  The method which computes EIGEST works only for symmetric positive definite A and M, and the user is responsible for verifying this assumption.

     Let us consider a trivial problem with a diagonal matrix (we exploit the sparsity of A)

          	n = 10;
          	a = diag (sparse (1:n));
          	b = rand (n, 1);
               [l, u, p, q] = luinc (a, 1.e-3);

     EXAMPLE 1: Simplest use of `pcg'

            x = pcg(A,b)

     EXAMPLE 2: `pcg' with a function which computes `A * X'

            function y = apply_a (x)
              y = [1:N]'.*x;
            endfunction

            x = pcg ("apply_a", b)

     EXAMPLE 3: `pcg' with a preconditioner: L * U

          x = pcg (a, b, 1.e-6, 500, l*u);

     EXAMPLE 4: `pcg' with a preconditioner: L * U.  Faster than EXAMPLE 3 since lower and upper triangular matrices are easier to invert

          x = pcg (a, b, 1.e-6, 500, l, u);

     EXAMPLE 5: Preconditioned iteration, with full diagnostics.  The preconditioner (quite strange, because even the original matrix A is trivial) is defined as a function

            function y = apply_m (x)
              k = floor (length (x) - 2);
              y = x;
              y(1:k) = x(1:k)./[1:k]';
            endfunction

            [x, flag, relres, iter, resvec, eigest] = ...
                               pcg (a, b, [], [], "apply_m");
            semilogy (1:iter+1, resvec);

     EXAMPLE 6: Finally, a preconditioner which depends on a parameter K.

            function y = apply_M (x, varargin)
            K = varargin{1};
            y = x;
            y(1:K) = x(1:K)./[1:K]';
            endfunction

            [x, flag, relres, iter, resvec, eigest] = ...
                 pcg (A, b, [], [], "apply_m", [], [], 3)

     REFERENCES

     	[1] C.T.Kelley, 'Iterative methods for linear and nonlinear equations', 	SIAM, 1995 (the base PCG algorithm)

     	[2] Y.Saad, 'Iterative methods for sparse linear systems', PWS 1996 	(condition number estimate from PCG) Revised version of this book is 	available online at http://www-users.cs.umn.edu/~saad/books.html

     See also: sparse, pcr.
   
# name: <cell-element>
# type: string
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Solves the linear system of equations `A * X = B' by means of the Preconditioned Conjugate Gradient iterative method.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
spvcat
# name: <cell-element>
# type: string
# elements: 1
# length: 207
 -- Function File: Y = spvcat (A1, A2, ..., AN)
     Return the vertical concatenation of sparse matrices.  This function is obselete and `vertcat' should be used See also: sphcat, vertcat, horzcat, cat.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 53
Return the vertical concatenation of sparse matrices.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
normest
# name: <cell-element>
# type: string
# elements: 1
# length: 431
 -- Function File: [N, C] = normest (A, TOL)
     Estimate the 2-norm of the matrix A using a power series analysis.  This is typically used for large matrices, where the cost of calculating the `norm (A)' is prohibitive and an approximation to the 2-norm is acceptable.

     TOL is the tolerance to which the 2-norm is calculated.  By default TOL is 1e-6.  C returns the number of iterations needed for `normest' to converge.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 66
Estimate the 2-norm of the matrix A using a power series analysis.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
pcr
# name: <cell-element>
# type: string
# elements: 1
# length: 4058
 -- Function File: X = pcr (A, B, TOL, MAXIT, M, X0, ...)
 -- Function File: [X, FLAG, RELRES, ITER, RESVEC] = pcr (...)
     Solves the linear system of equations `A * X = B' by means of the Preconditioned Conjugate Residuals iterative method.  The input arguments are

        * A can be either a square (preferably sparse) matrix or a function handle, inline function or string containing the name of a function which computes `A * X'.  In principle A should be symmetric and non-singular; if `pcr' finds A to be numerically singular, you will get a warning message and the FLAG output parameter will be set.

        * B is the right hand side vector.

        * TOL is the required relative tolerance for the residual error, `B - A * X'.  The iteration stops if `norm (B - A * X) <= TOL * norm (B - A * X0)'.  If TOL is empty or is omitted, the function sets `TOL = 1e-6' by default.

        * MAXIT is the maximum allowable number of iterations; if `[]' is supplied for `maxit', or `pcr' has less arguments, a default value equal to 20 is used.

        * M is the (left) preconditioning matrix, so that the iteration is (theoretically) equivalent to solving by `pcr' `P * X = M \ B', with `P = M \ A'.  Note that a proper choice of the preconditioner may dramatically improve the overall performance of the method.  Instead of matrix M, the user may pass a function which returns the results of applying the inverse of M to a vector (usually this is the preferred way of using the preconditioner).  If `[]' is supplied for M, or M is omitted, no preconditioning is applied.

        * X0 is the initial guess.  If X0 is empty or omitted, the function sets X0 to a zero vector by default.

     The arguments which follow X0 are treated as parameters, and passed in a proper way to any of the functions (A or M) which are passed to `pcr'.  See the examples below for further details.  The output arguments are

        * X is the computed approximation to the solution of `A * X = B'.

        * FLAG reports on the convergence.  `FLAG = 0' means the solution converged and the tolerance criterion given by TOL is satisfied.  `FLAG = 1' means that the MAXIT limit for the iteration count was reached.  `FLAG = 3' reports t `pcr' breakdown, see [1] for details.

        * RELRES is the ratio of the final residual to its initial value, measured in the Euclidean norm.

        * ITER is the actual number of iterations performed.

        * RESVEC describes the convergence history of the method, so that `RESVEC (i)' contains the Euclidean norms of the residual after the (I-1)-th iteration, `I = 1,2, ..., ITER+1'.

     Let us consider a trivial problem with a diagonal matrix (we exploit the sparsity of A)

          	n = 10;
          	a = sparse (diag (1:n));
          	b = rand (N, 1);

     EXAMPLE 1: Simplest use of `pcr'

            x = pcr(A, b)

     EXAMPLE 2: `pcr' with a function which computes `A * X'.

            function y = apply_a (x)
              y = [1:10]'.*x;
            endfunction

            x = pcr ("apply_a", b)

     EXAMPLE 3:  Preconditioned iteration, with full diagnostics.  The preconditioner (quite strange, because even the original matrix A is trivial) is defined as a function

            function y = apply_m (x)
              k = floor (length(x)-2);
              y = x;
              y(1:k) = x(1:k)./[1:k]';
            endfunction

            [x, flag, relres, iter, resvec] = ...
                               pcr (a, b, [], [], "apply_m")
            semilogy([1:iter+1], resvec);

     EXAMPLE 4: Finally, a preconditioner which depends on a parameter K.

            function y = apply_m (x, varargin)
              k = varargin{1};
              y = x; y(1:k) = x(1:k)./[1:k]';
            endfunction

            [x, flag, relres, iter, resvec] = ...
                               pcr (a, b, [], [], "apply_m"', [], 3)

     REFERENCES

     	[1] W. Hackbusch, "Iterative Solution of Large Sparse Systems of  	Equations", section 9.5.4; Springer, 1994

     See also: sparse, pcg.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 118
Solves the linear system of equations `A * X = B' by means of the Preconditioned Conjugate Residuals iterative method.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
spy
# name: <cell-element>
# type: string
# elements: 1
# length: 395
 -- Function File:  spy (X)
 -- Function File:  spy (..., MARKERSIZE)
 -- Function File:  spy (..., LINE_SPEC)
     Plot the sparsity pattern of the sparse matrix X.  If the argument MARKERSIZE is given as an scalar value, it is used to determine the point size in the plot.  If the string LINE_SPEC is given it is passed to `plot' and determines the appearance of the plot.  See also: plot.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 49
Plot the sparsity pattern of the sparse matrix X.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
spconvert
# name: <cell-element>
# type: string
# elements: 1
# length: 412
 -- Function File: X = spconvert (M)
     This function converts for a simple sparse matrix format easily produced by other programs into Octave's internal sparse format.  The input X is either a 3 or 4 column real matrix, containing the row, column, real and imaginary parts of the elements of the sparse matrix.  An element with a zero real and imaginary part can be used to force a particular matrix size.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 128
This function converts for a simple sparse matrix format easily produced by other programs into Octave's internal sparse format.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
spalloc
# name: <cell-element>
# type: string
# elements: 1
# length: 703
 -- Function File: S = spalloc (R, C, NZ)
     Returns an empty sparse matrix of size R-by-C.  As Octave resizes sparse matrices at the first opportunity, so that no additional space is needed, the argument NZ is ignored.  This function is provided only for compatibility reasons.

     It should be noted that this means that code like

          k = 5;
          nz = r * k;
          s = spalloc (r, c, nz)
          for j = 1:c
            idx = randperm (r);
            s (:, j) = [zeros(r - k, 1); rand(k, 1)] (idx);
          endfor

     will reallocate memory at each step.  It is therefore vitally important that code like this is vectorized as much as possible.  See also: sparse, nzmax.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 46
Returns an empty sparse matrix of size R-by-C.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
svds
# name: <cell-element>
# type: string
# elements: 1
# length: 1986
 -- Function File: S = svds (A)
 -- Function File: S = svds (A, K)
 -- Function File: S = svds (A, K, SIGMA)
 -- Function File: S = svds (A, K, SIGMA, OPTS)
 -- Function File: [U, S, V, FLAG] = svds (...)
     Find a few singular values of the matrix A.  The singular values are calculated using

          [M, N] = size(A)
          S = eigs([sparse(M, M), A; ...
                          A', sparse(N, N)])

     The eigenvalues returned by `eigs' correspond to the singular values of A.  The number of singular values to calculate is given by K, whose default value is 6.

     The argument SIGMA can be used to specify which singular values to find.  SIGMA can be either the string 'L', the default, in which case the largest singular values of A are found.  Otherwise SIGMA should be a real scalar, in which case the singular values closest to SIGMA are found.  Note that for relatively small values of SIGMA, there is the chance that the requested number of singular values are not returned.  In that case SIGMA should be increased.

     If OPTS is given, then it is a structure that defines options that `svds' will pass to EIGS.  The possible fields of this structure are therefore determined by `eigs'.  By default three fields of this structure are set by `svds'.

    `tol'
          The required convergence tolerance for the singular values.  `eigs' is passed TOL divided by `sqrt(2)'.  The default value is 1e-10.

    `maxit'
          The maximum number of iterations.  The default is 300.

    `disp'
          The level of diagnostic printout.  If `disp' is 0 then there is no printout.  The default value is 0.

     If more than one output argument is given, then `svds' also calculates the left and right singular vectors of A.  FLAG is used to signal the convergence of `svds'.  If `svds' converges to the desired tolerance, then FLAG given by

          norm (A * V - U * S, 1) <= ...
                  TOL * norm (A, 1)

     will be zero.
   See also: eigs.  
# name: <cell-element>
# type: string
# elements: 1
# length: 43
Find a few singular values of the matrix A.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
spdiags
# name: <cell-element>
# type: string
# elements: 1
# length: 1036
 -- Function File: [B, C] = spdiags (A)
 -- Function File: B = spdiags (A, C)
 -- Function File: B = spdiags (V, C, A)
 -- Function File: B = spdiags (V, C, M, N)
     A generalization of the function `diag'.  Called with a single input argument, the non-zero diagonals C of A are extracted.  With two arguments the diagonals to extract are given by the vector C.

     The other two forms of `spdiags' modify the input matrix by replacing the diagonals.  They use the columns of V to replace the columns represented by the vector C.  If the sparse matrix A is defined then the diagonals of this matrix are replaced.  Otherwise a matrix of M by N is created with the diagonals given by V.

     Negative values of C represent diagonals below the main diagonal, and positive values of C diagonals above the main diagonal.

     For example

          spdiags (reshape (1:12, 4, 3), [-1 0 1], 5, 4)
          =>    5 10  0  0
                1  6 11  0
                0  2  7 12
                0  0  3  8
                0  0  0  4

   
# name: <cell-element>
# type: string
# elements: 1
# length: 40
A generalization of the function `diag'.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
spfun
# name: <cell-element>
# type: string
# elements: 1
# length: 235
 -- Function File: Y = spfun (F,X)
     Compute `f(X)' for the non-zero values of X.  This results in a sparse matrix with the same structure as X.  The function F can be passed as a string, a function handle or an inline function.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 44
Compute `f(X)' for the non-zero values of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
colperm
# name: <cell-element>
# type: string
# elements: 1
# length: 305
 -- Function File: P = colperm (S)
     Returns the column permutations such that the columns of `S (:, P)' are ordered in terms of increase number of non-zero elements.  If S is symmetric, then P is chosen such that `S (P, P)' orders the rows and columns with increasing number of non zeros elements.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 129
Returns the column permutations such that the columns of `S (:, P)' are ordered in terms of increase number of non-zero elements.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
sprand
# name: <cell-element>
# type: string
# elements: 1
# length: 540
 -- Function File:  sprand (M, N, D)
 -- Function File:  sprand (S)
     Generate a random sparse matrix.  The size of the matrix will be M by N, with a density of values given by D.  D should be between 0 and 1. Values will be uniformly distributed between 0 and 1.

     Note: sometimes the actual density may be a bit smaller than D.  This is unlikely to happen for large really sparse matrices.

     If called with a single matrix argument, a random sparse matrix is generated wherever the matrix S is non-zero.  See also: sprandn.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 32
Generate a random sparse matrix.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
spaugment
# name: <cell-element>
# type: string
# elements: 1
# length: 1264
 -- Function File: S = spaugment (A, C)
     Creates the augmented matrix of A.  This is given by

          [C * eye(M, M),A; A', zeros(N,
          N)]

     This is related to the least squares solution of `A \\ B', by

          S * [ R / C; x] = [B, zeros(N,
          columns(B)]

     where R is the residual error

          R = B - A * X

     As the matrix S is symmetric indefinite it can be factorized with `lu', and the minimum norm solution can therefore be found without the need for a `qr' factorization.  As the residual error will be `zeros (M, M)' for under determined problems, and example can be

          m = 11; n = 10; mn = max(m ,n);
          a = spdiags ([ones(mn,1), 10*ones(mn,1), -ones(mn,1)],
                       [-1, 0, 1], m, n);
          x0 = a \ ones (m,1);
          s = spaugment (a);
          [L, U, P, Q] = lu (s);
          x1 = Q * (U \ (L \ (P  * [ones(m,1); zeros(n,1)])));
          x1 = x1(end - n + 1 : end);

     To find the solution of an overdetermined problem needs an estimate of the residual error R and so it is more complex to formulate a minimum norm solution using the `spaugment' function.

     In general the left division operator is more stable and faster than using the `spaugment' function.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
Creates the augmented matrix of A.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
speye
# name: <cell-element>
# type: string
# elements: 1
# length: 472
 -- Function File: Y = speye (M)
 -- Function File: Y = speye (M, N)
 -- Function File: Y = speye (SZ)
     Returns a sparse identity matrix.  This is significantly more efficient than `sparse (eye (M))' as the full matrix is not constructed.

     Called with a single argument a square matrix of size M by M is created.  Otherwise a matrix of M by N is created.  If called with a single vector argument, this argument is taken to be the size of the matrix to create.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 33
Returns a sparse identity matrix.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
sprandn
# name: <cell-element>
# type: string
# elements: 1
# length: 557
 -- Function File:  sprandn (M, N, D)
 -- Function File:  sprandn (S)
     Generate a random sparse matrix.  The size of the matrix will be M by N, with a density of values given by D.  D should be between 0 and 1. Values will be normally distributed with mean of zero and variance 1.

     Note: sometimes the actual density may be a bit smaller than D.  This is unlikely to happen for large really sparse matrices.

     If called with a single matrix argument, a random sparse matrix is generated wherever the matrix S is non-zero.  See also: sprand.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 32
Generate a random sparse matrix.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
assert
# name: <cell-element>
# type: string
# elements: 1
# length: 1302
 -- Function File:  assert (COND)
 -- Function File:  assert (COND, ERRMSG, ...)
 -- Function File:  assert (COND, MSG_ID, ERRMSG, ...)
 -- Function File:  assert (OBSERVED,EXPECTED)
 -- Function File:  assert (OBSERVED,EXPECTED,TOL)
     Produces an error if the condition is not met.  `assert' can be called in three different ways.

    `assert (COND)'
    `assert (COND, ERRMSG, ...)'
    `assert (COND, MSG_ID, ERRMSG, ...)'
          Called with a single argument COND, `assert' produces an error if COND is zero.  If called with a single argument a generic error message.  With more than one argument, the additional arguments are passed to the `error' function.

    `assert (OBSERVED, EXPECTED)'
          Produce an error if observed is not the same as expected.  Note that observed and expected can be strings, scalars, vectors, matrices, lists or structures.

    `assert(OBSERVED, EXPECTED, TOL)'
          Accept a tolerance when comparing numbers.  If TOL is positive use it as an absolute tolerance, will produce an error if `abs(OBSERVED - EXPECTED) > abs(TOL)'.  If TOL is negative use it as a relative tolerance, will produce an error if `abs(OBSERVED - EXPECTED) > abs(TOL * EXPECTED)'.  If EXPECTED is zero TOL will always be used as an absolute tolerance.
     See also: test.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 46
Produces an error if the condition is not met.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
rundemos
# name: <cell-element>
# type: string
# elements: 1
# length: 44
 -- Function File:  rundemos (DIRECTORY)
   
# name: <cell-element>
# type: string
# elements: 0

# name: <cell-element>
# type: string
# elements: 1
# length: 7
example
# name: <cell-element>
# type: string
# elements: 1
# length: 453
 -- Function File:  example ('NAME',N)
 -- Function File: [X, IDX] = example ('NAME',N)
     Display the code for example N associated with the function 'NAME', but do not run it.  If N is not given, all examples are displayed.

     Called with output arguments, the examples are returned in the form of a string X, with IDX indicating the ending position of the various examples.

     See `demo' for a complete explanation.  See also: demo, test.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 86
Display the code for example N associated with the function 'NAME', but do not run it.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
speed
# name: <cell-element>
# type: string
# elements: 1
# length: 4706
 -- Function File:  speed (F, INIT, MAX_N, F2, TOL)
 -- Function File: [ORDER, N, T_F, T_F2] = speed (...)
     Determine the execution time of an expression for various N.  The N are log-spaced from 1 to MAX_N.  For each N, an initialization expression is computed to create whatever data are needed for the test.  If a second expression is given, the execution times of the two expressions will be compared.  Called without output arguments the results are presented graphically.

    `F'
          The expression to evaluate.

    `MAX_N'
          The maximum test length to run.  Default value is 100.  Alternatively, use `[min_n,max_n]' or for complete control, `[n1,n2,...,nk]'.

    `INIT'
          Initialization expression for function argument values.  Use K for the test number and N for the size of the test.  This should compute values for all variables listed in args.  Note that init will be evaluated first for k = 0, so things which are constant throughout the test can be computed then.  The default value is `X = randn (N, 1);'.

    `F2'
          An alternative expression to evaluate, so the speed of the two can be compared.  Default is `[]'.

    `TOL'
          If TOL is `Inf', then no comparison will be made between the results of expression F and expression F2.  Otherwise, expression F should produce a value V and expression F2 should produce a value V2, and these shall be compared using `assert(V,V2,TOL)'.  If TOL is positive, the tolerance is assumed to be absolute.  If TOL is negative, the tolerance is assumed to be relative.  The default is `eps'.

    `ORDER'
          The time complexity of the expression `O(a n^p)'.  This is a structure with fields `a' and `p'.

    `N'
          The values N for which the expression was calculated and the execution time was greater than zero.

    `T_F'
          The nonzero execution times recorded for the expression F in seconds.

    `T_F2'
          The nonzero execution times recorded for the expression F2 in seconds.  If it is needed, the mean time ratio is just `mean(T_f./T_f2)'.


     The slope of the execution time graph shows the approximate power of the asymptotic running time `O(n^p)'.  This power is plotted for the region over which it is approximated (the latter half of the graph).  The estimated power is not very accurate, but should be sufficient to determine the general order of your algorithm.  It should indicate if for example your implementation is unexpectedly `O(n^2)' rather than `O(n)' because it extends a vector each time through the loop rather than preallocating one which is big enough.  For example, in the current version of Octave, the following is not the expected `O(n)':

          speed ("for i = 1:n, y{i} = x(i); end", "", [1000,10000])

     but it is if you preallocate the cell array `y':

          speed ("for i = 1:n, y{i} = x(i); end", ...
                 "x = rand (n, 1); y = cell (size (x));", [1000, 10000])

     An attempt is made to approximate the cost of the individual operations, but it is wildly inaccurate.  You can improve the stability somewhat by doing more work for each `n'.  For example:

          speed ("airy(x)", "x = rand (n, 10)", [10000, 100000])

     When comparing a new and original expression, the line on the speedup ratio graph should be larger than 1 if the new expression is faster.  Better algorithms have a shallow slope.  Generally, vectorizing an algorithm will not change the slope of the execution time graph, but it will shift it relative to the original.  For example:

          speed ("v = sum (x)", "", [10000, 100000], ...
                 "v = 0; for i = 1:length (x), v += x(i); end")

     A more complex example, if you had an original version of `xcorr' using for loops and another version using an FFT, you could compare the run speed for various lags as follows, or for a fixed lag with varying vector lengths as follows:

          speed ("v = xcorr (x, n)", "x = rand (128, 1);", 100,
                 "v2 = xcorr_orig (x, n)", -100*eps)
          speed ("v = xcorr (x, 15)", "x = rand (20+n, 1);", 100,
                 "v2 = xcorr_orig (x, n)", -100*eps)

     Assuming one of the two versions is in XCORR_ORIG, this would compare their speed and their output values.  Note that the FFT version is not exact, so we specify an acceptable tolerance on the comparison `100*eps', and the errors should be computed relatively, as `abs((X - Y)./Y)' rather than absolutely as `abs(X - Y)'.

     Type `example('speed')' to see some real examples.  Note for obscure reasons, you can't run examples 1 and 2 directly using `demo('speed')'.  Instead use, `eval(example('speed',1))' and `eval(example('speed',2))'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 60
Determine the execution time of an expression for various N.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
test
# name: <cell-element>
# type: string
# elements: 1
# length: 2033
 -- Function File:  test NAME
 -- Function File:  test NAME quiet|normal|verbose
 -- Function File:  test ('NAME', 'quiet|normal|verbose', FID)
 -- Function File:  test ([], 'explain', FID)
 -- Function File: SUCCESS = test (...)
 -- Function File: [N, MAX] = test (...)
 -- Function File: [CODE, IDX] = test ('NAME','grabdemo')
     Perform tests from the first file in the loadpath matching NAME.  `test' can be called as a command or as a function.  Called with a single argument NAME, the tests are run interactively and stop after the first error is encountered.

     With a second argument the tests which are performed and the amount of output is selected.

    'quiet'
          Don't report all the tests as they happen, just the errors.

    'normal'
          Report all tests as they happen, but don't do tests which require user interaction.

    'verbose'
          Do tests which require user interaction.

     The argument FID can be used to allow batch processing.  Errors can be written to the already open file defined by FID, and hopefully when Octave crashes this file will tell you what was happening when it did.  You can use `stdout' if you want to see the results as they happen.  You can also give a file name rather than an FID, in which case the contents of the file will be replaced with the log from the current test.

     Called with a single output argument SUCCESS, `test' returns true if all of the tests were successful.  Called with two output arguments N and MAX, the number of successful tests and the total number of tests in the file NAME are returned.

     If the second argument is the string 'grabdemo', the contents of the demo blocks are extracted but not executed.  Code for all code blocks is concatenated and returned as CODE with IDX being a vector of positions of the ends of the demo blocks.

     If the second argument is 'explain', then NAME is ignored and an explanation of the line markers used is written to the file FID.  See also: error, assert, fail, demo, example.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 64
Perform tests from the first file in the loadpath matching NAME.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
fail
# name: <cell-element>
# type: string
# elements: 1
# length: 715
 -- Function File:  fail (CODE,PATTERN)
 -- Function File:  fail (CODE,'warning',PATTERN)
     Return true if CODE fails with an error message matching PATTERN, otherwise produce an error.  Note that CODE is a string and if CODE runs successfully, the error produced is:

                    expected error but got none

     If the code fails with a different error, the message produced is:

                    expected <pattern>
                    but got <text of actual error>

     The angle brackets are not part of the output.

     Called with three arguments, the behavior is similar to `fail(CODE, PATTERN)', but produces an error if no warning is given during code execution or if the code fails.

   
# name: <cell-element>
# type: string
# elements: 1
# length: 93
Return true if CODE fails with an error message matching PATTERN, otherwise produce an error.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
demo
# name: <cell-element>
# type: string
# elements: 1
# length: 1935
 -- Function File:  demo ('NAME',N)
     Runs any examples associated with the function 'NAME'.  Examples are stored in the script file, or in a file with the same name but no extension somewhere on your path.  To keep them separate from the usual script code, all lines are prefixed by `%!'.  Each example is introduced by the keyword 'demo' flush left to the prefix, with no intervening spaces.  The remainder of the example can contain arbitrary Octave code.  For example:

             %!demo
             %! t=0:0.01:2*pi; x = sin(t);
             %! plot(t,x)
             %! %-------------------------------------------------
             %! % the figure window shows one cycle of a sine wave

     Note that the code is displayed before it is executed, so a simple comment at the end suffices.  It is generally not necessary to use disp or printf within the demo.

     Demos are run in a function environment with no access to external variables.  This means that all demos in your function must use separate initialization code.  Alternatively, you can combine your demos into one huge demo, with the code:

             %! input("Press <enter> to continue: ","s");

     between the sections, but this is discouraged.  Other techniques include using multiple plots by saying figure between each, or using subplot to put multiple plots in the same window.

     Also, since demo evaluates inside a function context, you cannot define new functions inside a demo.  Instead you will have to use `eval(example('function',n))' to see them.  Because eval only evaluates one line, or one statement if the statement crosses multiple lines, you must wrap your demo in "if 1 <demo stuff> endif" with the 'if' on the same line as 'demo'.  For example,

            %!demo if 1
            %!  function y=f(x)
            %!    y=x;
            %!  endfunction
            %!  f(3)
            %! endif
     See also: test, example.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 54
Runs any examples associated with the function 'NAME'.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
setdiff
# name: <cell-element>
# type: string
# elements: 1
# length: 522
 -- Function File:  setdiff (A, B)
 -- Function File:  setdiff (A, B, "rows")
 -- Function File: [C, I] = setdiff (A, B)
     Return the elements in A that are not in B, sorted in ascending order.  If A and B are both column vectors return a column vector, otherwise return a row vector.

     Given the optional third argument `"rows"', return the rows in A that are not in B, sorted in ascending order by rows.

     If requested, return I such that `c = a(i)'.  See also: unique, union, intersect, setxor, ismember.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 70
Return the elements in A that are not in B, sorted in ascending order.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
intersect
# name: <cell-element>
# type: string
# elements: 1
# length: 378
 -- Function File:  intersect (A, B)
 -- Function File: [C, IA, IB] = intersect (A, B)
     Return the elements in both A and B, sorted in ascending order.  If A and B are both column vectors return a column vector, otherwise return a row vector.

     Return index vectors IA and IB such that `a(ia)==c' and `b(ib)==c'.

   See also: unique, union, setxor, setdiff, ismember.  
# name: <cell-element>
# type: string
# elements: 1
# length: 63
Return the elements in both A and B, sorted in ascending order.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
complement
# name: <cell-element>
# type: string
# elements: 1
# length: 222
 -- Function File:  complement (X, Y)
     Return the elements of set Y that are not in set X.  For example,

          complement ([ 1, 2, 3 ], [ 2, 3, 5 ])
               => 5
     See also: union, intersect, unique.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 51
Return the elements of set Y that are not in set X.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
union
# name: <cell-element>
# type: string
# elements: 1
# length: 675
 -- Function File:  union (A, B)
 -- Function File:  union (A, B, "rows")
     Return the set of elements that are in either of the sets A and B.  For example,

          union ([1, 2, 4], [2, 3, 5])
               => [1, 2, 3, 4, 5]

     If the optional third input argument is the string "rows" each row of the matrices A and B will be considered an element of sets.  For example,
          union([1, 2; 2, 3], [1, 2; 3, 4], "rows")
               =>  1   2
              2   3
              3   4

 -- Function File: [C, IA, IB] = union (A, B)
     Return index vectors IA and IB such that `a == c(ia)' and `b == c(ib)'.

     See also: intersect, complement, unique.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 71
Return index vectors IA and IB such that `a == c(ia)' and `b == c(ib)'.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
unique
# name: <cell-element>
# type: string
# elements: 1
# length: 852
 -- Function File:  unique (X)
 -- Function File:  unique (X, "rows")
 -- Function File:  unique (..., "first")
 -- Function File:  unique (..., "last")
 -- Function File: [Y, I, J] = unique (...)
     Return the unique elements of X, sorted in ascending order.  If X is a row vector, return a row vector, but if X is a column vector or a matrix return a column vector.

     If the optional argument `"rows"' is supplied, return the unique rows of X, sorted in ascending order.

     If requested, return index vectors I and J such that `x(i)==y' and `y(j)==x'.

     Additionally, one of `"first"' or `"last"' may be given as an argument.  If `"last"' is specified, return the highest possible indices in I, otherwise, if `"first"' is specified, return the lowest.  The default is `"last"'.  See also: union, intersect, setdiff, setxor, ismember.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 59
Return the unique elements of X, sorted in ascending order.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
ismember
# name: <cell-element>
# type: string
# elements: 1
# length: 1133
 -- Function File: [TF = ismember (A, S)
 -- Function File: [TF, S_IDX] = ismember (A, S)
 -- Function File: [TF, S_IDX] = ismember (A, S, "rows")
     Return a matrix TF with the same shape as A which has a 1 if `A(i,j)' is in S and 0 if it is not.  If a second output argument is requested, the index into S of each of the matching elements is also returned.

          a = [3, 10, 1];
          s = [0:9];
          [tf, s_idx] = ismember (a, s);
               => tf = [1, 0, 1]
               => s_idx = [4, 0, 2]

     The inputs, A and S, may also be cell arrays.

          a = {'abc'};
          s = {'abc', 'def'};
          [tf, s_idx] = ismember (a, s);
               => tf = [1, 0]
               => s_idx = [1, 0]

     With the optional third argument `"rows"', and matrices A and S with the same number of columns, compare rows in A with the rows in S.

          a = [1:3; 5:7; 4:6];
          s = [0:2; 1:3; 2:4; 3:5; 4:6];
          [tf, s_idx] = ismember(a, s, 'rows');
               => tf = logical ([1; 0; 1])
               => s_idx = [2; 0; 5];

     See also: unique, union, intersect, setxor, setdiff.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 97
Return a matrix TF with the same shape as A which has a 1 if `A(i,j)' is in S and 0 if it is not.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
setxor
# name: <cell-element>
# type: string
# elements: 1
# length: 429
 -- Function File:  setxor (A, B)
 -- Function File:  setxor (A, B, 'rows')
     Return the elements exclusive to A or B, sorted in ascending order.  If A and B are both column vectors return a column vector, otherwise return a row vector.

 -- Function File: [C, IA, IB] = setxor (A, B)
     Return index vectors IA and IB such that `a == c(ia)' and `b == c(ib)'.

     See also: unique, union, intersect, setdiff, ismember.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 71
Return index vectors IA and IB such that `a == c(ia)' and `b == c(ib)'.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
imfinfo
# name: <cell-element>
# type: string
# elements: 1
# length: 2213
 -- Function File: INFO = imfinfo (FILENAME)
 -- Function File: INFO = imfinfo (URL)
     Read image information from a file.

     `imfinfo' returns a structure containing information about the image stored in the file FILENAME.  The output structure contains the following fields.

    `Filename'
          The full name of the image file.

    `FileSize'
          Number of bytes of the image on disk

    `FileModDate'
          Date of last modification to the file.

    `Height'
          Image height in pixels.

    `Width'
          Image Width in pixels.

    `BitDepth'
          Number of bits per channel per pixel.

    `Format'
          Image format (e.g., `"jpeg"').

    `LongFormat'
          Long form image format description.

    `XResolution'
          X resolution of the image.

    `YResolution'
          Y resolution of the image.

    `TotalColors'
          Number of unique colors in the image.

    `TileName'
          Tile name.

    `AnimationDelay'
          Time in 1/100ths of a second (0 to 65535) which must expire before displaying the next image in an animated sequence.

    `AnimationIterations'
          Number of iterations to loop an animation (e.g., Netscape loop extension) for.

    `ByteOrder'
          Endian option for formats that support it.  Is either `"little-endian"', `"big-endian"', or `"undefined"'.

    `Gamma'
          Gamma level of the image.  The same color image displayed on two different workstations may look different due to differences in the display monitor.

    `Matte'
          `true' if the image has transparency.

    `ModulusDepth'
          Image modulus depth (minimum number of bits required to support red/green/blue components without loss of accuracy).

    `Quality'
          JPEG/MIFF/PNG compression level.

    `QuantizeColors'
          Preferred number of colors in the image.

    `ResolutionUnits'
          Units of image resolution.  Is either `"pixels per inch"', `"pixels per centimeter"', or `"undefined"'.

    `ColorType'
          Image type.  Is either `"grayscale"', `"indexed"', `"truecolor"', or `"undefined"'.

    `View'
          FlashPix viewing parameters.

     See also: imread, imwrite.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 35
Read image information from a file.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
imread
# name: <cell-element>
# type: string
# elements: 1
# length: 473
 -- Function File: [IMG, MAP, ALPHA] = imread (FILENAME)
     Read images from various file formats.

     The size and numeric class of the output depends on the format of the image.  A color image is returned as an MxNx3 matrix.  Grey-level and black-and-white images are of size MxN.  The color depth of the image determines the numeric class of the output: "uint8" or "uint16" for grey and color, and "logical" for black and white.

     See also: imwrite, imfinfo.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 38
Read images from various file formats.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
brighten
# name: <cell-element>
# type: string
# elements: 1
# length: 677
 -- Function File: MAP_OUT = brighten (MAP, BETA)
 -- Function File: MAP_OUT = brighten (H, BETA)
 -- Function File: MAP_OUT = brighten (BETA)
     Darkens or brightens the given colormap.  If the MAP argument is omitted, the function is applied to the current colormap.  The first argument can also be a valid graphics handle H, in which case `brighten' is applied to the colormap associated with this handle.

     Should the resulting colormap MAP_OUT not be assigned, it will be written to the current colormap.

     The argument BETA should be a scalar between -1 and 1, where a negative value darkens and a positive value brightens the colormap.  See also: colormap.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 40
Darkens or brightens the given colormap.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
gmap40
# name: <cell-element>
# type: string
# elements: 1
# length: 444
 -- Function File:  gmap40 (N)
     Create a color colormap.  The colormap is red, green, blue, yellow, magenta and cyan.  These are the colors that are allowed with patch objects using gnuplot 4.0, and so this colormap function is specially designed for users of gnuplot 4.0.  The argument N should be a scalar.  If it is omitted, a length of 6 is assumed.  Larger values of N result in a repetition of the above colors See also: colormap.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 24
Create a color colormap.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
imshow
# name: <cell-element>
# type: string
# elements: 1
# length: 1061
 -- Function File:  imshow (IM)
 -- Function File:  imshow (IM, LIMITS)
 -- Function File:  imshow (IM, MAP)
 -- Function File:  imshow (RGB, ...)
 -- Function File:  imshow (FILENAME)
 -- Function File:  imshow (..., STRING_PARAM1, VALUE1, ...)
     Display the image IM, where IM can be a 2-dimensional (gray-scale image) or a 3-dimensional (RGB image) matrix.

     If LIMITS is a 2-element vector `[LOW, HIGH]', the image is shown using a display range between LOW and HIGH.  If an empty matrix is passed for LIMITS, the display range is computed as the range between the minimal and the maximal value in the image.

     If MAP is a valid color map, the image will be shown as an indexed image using the supplied color map.

     If a file name is given instead of an image, the file will be read and shown.

     If given, the parameter STRING_PARAM1 has value VALUE1.  STRING_PARAM1 can be any of the following:
    `"displayrange"'
          VALUE1 is the display range as described above.
     See also: image, imagesc, colormap, gray2ind, rgb2ind.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 111
Display the image IM, where IM can be a 2-dimensional (gray-scale image) or a 3-dimensional (RGB image) matrix.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
gray2ind
# name: <cell-element>
# type: string
# elements: 1
# length: 222
 -- Function File: [IMG, MAP] = gray2ind (I, N)
     Convert a gray scale intensity image to an Octave indexed image.  The indexed image will consist of N different intensity values.  If not given N will default to 64.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 64
Convert a gray scale intensity image to an Octave indexed image.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
spring
# name: <cell-element>
# type: string
# elements: 1
# length: 228
 -- Function File:  spring (N)
     Create color colormap.  This colormap is magenta to yellow.  The argument N should be a scalar.  If it is omitted, the length of the current colormap or 64 is assumed.  See also: colormap.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 22
Create color colormap.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
winter
# name: <cell-element>
# type: string
# elements: 1
# length: 224
 -- Function File:  winter (N)
     Create color colormap.  This colormap is blue to green.  The argument N should be a scalar.  If it is omitted, the length of the current colormap or 64 is assumed.  See also: colormap.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 22
Create color colormap.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
prism
# name: <cell-element>
# type: string
# elements: 1
# length: 264
 -- Function File:  prism (N)
     Create color colormap.  This colormap cycles trough red, orange, yellow, green, blue and violet.  The argument N should be a scalar.  If it is omitted, the length of the current colormap or 64 is assumed.  See also: colormap.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 22
Create color colormap.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
gray
# name: <cell-element>
# type: string
# elements: 1
# length: 222
 -- Function File:  gray (N)
     Return a gray colormap with N entries corresponding to values from 0 to N-1.  The argument N should be a scalar.  If it is omitted, the length of the current colormap or 64 is assumed.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 76
Return a gray colormap with N entries corresponding to values from 0 to N-1.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
autumn
# name: <cell-element>
# type: string
# elements: 1
# length: 239
 -- Function File:  autumn (N)
     Create color colormap.  This colormap is red through orange to yellow.  The argument N should be a scalar.  If it is omitted, the length of the current colormap or 64 is assumed.  See also: colormap.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 22
Create color colormap.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
ind2gray
# name: <cell-element>
# type: string
# elements: 1
# length: 238
 -- Function File:  ind2gray (X, MAP)
     Convert an Octave indexed image to a gray scale intensity image.  If MAP is omitted, the current colormap is used to determine the intensities.  See also: gray2ind, rgb2ntsc, image, colormap.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 64
Convert an Octave indexed image to a gray scale intensity image.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
flag
# name: <cell-element>
# type: string
# elements: 1
# length: 247
 -- Function File:  flag (N)
     Create color colormap.  This colormap cycles through red, white, blue and black.  The argument N should be a scalar.  If it is omitted, the length of the current colormap or 64 is assumed.  See also: colormap.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 22
Create color colormap.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
saveimage
# name: <cell-element>
# type: string
# elements: 1
# length: 891
 -- Function File:  saveimage (FILE, X, FMT, MAP)
     Save the matrix X to FILE in image format FMT.  Valid values for FMT are

    `"img"'
          Octave's image format.  The current colormap is also saved in the file.

    `"ppm"'
          Portable pixmap format.

    `"ps"'
          PostScript format.  Note that images saved in PostScript format cannot be read back into Octave with loadimage.

     If the fourth argument is supplied, the specified colormap will also be saved along with the image.

     Note: if the colormap contains only two entries and these entries are black and white, the bitmap ppm and PostScript formats are used.  If the image is a gray scale image (the entries within each row of the colormap are equal) the gray scale ppm and PostScript image formats are used, otherwise the full color formats are used.  See also: loadimage, save, load, colormap.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 46
Save the matrix X to FILE in image format FMT.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
ntsc2rgb
# name: <cell-element>
# type: string
# elements: 1
# length: 112
 -- Function File:  ntsc2rgb (YIQ)
     Transform a colormap or image from NTSC to RGB.  See also: rgb2ntsc.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 47
Transform a colormap or image from NTSC to RGB.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
ind2rgb
# name: <cell-element>
# type: string
# elements: 1
# length: 376
 -- Function File: RGB = ind2rgb (X, MAP)
 -- Function File: [R, G, B] = ind2rgb (X, MAP)
     Convert an indexed image to red, green, and blue color components.  If the colormap doesn't contain enough colors, pad it with the last color in the map.  If MAP is omitted, the current colormap is used for the conversion.  See also: rgb2ind, image, imshow, ind2gray, gray2ind.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 66
Convert an indexed image to red, green, and blue color components.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
rgb2ind
# name: <cell-element>
# type: string
# elements: 1
# length: 179
 -- Function File: [X, MAP] = rgb2ind (RGB)
 -- Function File: [X, MAP] = rgb2ind (R, G, B)
     Convert an RGB image to an Octave indexed image.  See also: ind2rgb, rgb2ntsc.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 48
Convert an RGB image to an Octave indexed image.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
jet
# name: <cell-element>
# type: string
# elements: 1
# length: 268
 -- Function File:  jet (N)
     Create color colormap.  This colormap is dark blue through blue, cyan, green, yellow, red to dark red.  The argument N should be a scalar.  If it is omitted, the length of the current colormap or 64 is assumed.  See also: colormap.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 22
Create color colormap.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
hot
# name: <cell-element>
# type: string
# elements: 1
# length: 260
 -- Function File:  hot (N)
     Create color colormap.  This colormap is black through dark red, red, orange, yellow to white.  The argument N should be a scalar.  If it is omitted, the length of the current colormap or 64 is assumed.  See also: colormap.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 22
Create color colormap.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
colormap
# name: <cell-element>
# type: string
# elements: 1
# length: 580
 -- Function File:  colormap (MAP)
 -- Function File:  colormap ("default")
     Set the current colormap.

     `colormap (MAP)' sets the current colormap to MAP.  The color map should be an N row by 3 column matrix.  The columns contain red, green, and blue intensities respectively.  All entries should be between 0 and 1 inclusive.  The new colormap is returned.

     `colormap ("default")' restores the default colormap (the `jet' map with 64 entries).  The default colormap is returned.

     With no arguments, `colormap' returns the current color map.  See also: jet.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 25
Set the current colormap.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
ocean
# name: <cell-element>
# type: string
# elements: 1
# length: 169
 -- Function File:  ocean (N)
     Create color colormap.  The argument N should be a scalar.  If it is omitted, the length of the current colormap or 64 is assumed.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 22
Create color colormap.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
bone
# name: <cell-element>
# type: string
# elements: 1
# length: 247
 -- Function File:  bone (N)
     Create color colormap.  This colormap is a gray colormap with a light blue tone.  The argument N should be a scalar.  If it is omitted, the length of the current colormap or 64 is assumed.  See also: colormap.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 22
Create color colormap.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
rgb2hsv
# name: <cell-element>
# type: string
# elements: 1
# length: 461
 -- Function File: HSV_MAP = rgb2hsv (RGB_MAP)
     Transform a colormap or image from the rgb space to the hsv space.

     A color n the RGB space consists of the red, green and blue intensities.

     In the HSV space each color is represented by their hue, saturation and value (brightness).  Value gives the amount of light in the color.  Hue describes the dominant wavelength.  Saturation is the amount of Hue mixed into the color.  See also: hsv2rgb.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 66
Transform a colormap or image from the rgb space to the hsv space.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
cool
# name: <cell-element>
# type: string
# elements: 1
# length: 223
 -- Function File:  cool (N)
     Create color colormap.  The colormap is cyan to magenta.  The argument N should be a scalar.  If it is omitted, the length of the current colormap or 64 is assumed.  See also: colormap.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 22
Create color colormap.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
rainbow
# name: <cell-element>
# type: string
# elements: 1
# length: 261
 -- Function File:  rainbow (N)
     Create color colormap.  This colormap is red through orange, yellow, green, blue to violet.  The argument N should be a scalar.  If it is omitted, the length of the current colormap or 64 is assumed.  See also: colormap.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 22
Create color colormap.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
imagesc
# name: <cell-element>
# type: string
# elements: 1
# length: 686
 -- Function File:  imagesc (A)
 -- Function File:  imagesc (X, Y, A)
 -- Function File:  imagesc (..., LIMITS)
 -- Function File:  imagesc (H, ...)
 -- Function File: H = imagesc (...)
     Display a scaled version of the matrix A as a color image.  The colormap is scaled so that the entries of the matrix occupy the entire colormap.  If LIMITS = [LO, HI] are given, then that range is set to the 'clim' of the current axes.

     The axis values corresponding to the matrix elements are specified in X and Y, either as pairs giving the minimum and maximum values for the respective axes, or as values for each row and column of the matrix A.

     See also: image, imshow, caxis.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 58
Display a scaled version of the matrix A as a color image.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
summer
# name: <cell-element>
# type: string
# elements: 1
# length: 226
 -- Function File:  summer (N)
     Create color colormap.  This colormap is green to yellow.  The argument N should be a scalar.  If it is omitted, the length of the current colormap or 64 is assumed.  See also: colormap.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 22
Create color colormap.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
hsv
# name: <cell-element>
# type: string
# elements: 1
# length: 454
 -- Function File:  hsv (N)
     Create color colormap.  This colormap is red through yellow, green, cyan, blue, magenta to red.  It is obtained by linearly varying the hue through all possible values while keeping constant maximum saturation and value and is equivalent to `hsv2rgb ([linspace(0,1,N)', ones(N,2)])'.

     The argument N should be a scalar.  If it is omitted, the length of the current colormap or 64 is assumed.  See also: colormap.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 22
Create color colormap.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
image
# name: <cell-element>
# type: string
# elements: 1
# length: 665
 -- Function File:  image (IMG)
 -- Function File:  image (X, Y, IMG)
     Display a matrix as a color image.  The elements of X are indices into the current colormap, and the colormap will be scaled so that the extremes of X are mapped to the extremes of the colormap.

     It first tries to use `gnuplot', then `display' from `ImageMagick', then `xv', and then `xloadimage'.  The actual program used can be changed using the `image_viewer' function.

     The axis values corresponding to the matrix elements are specified in X and Y.  If you're not using gnuplot 4.2 or later, these variables are ignored.  See also: imshow, imagesc, colormap, image_viewer.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
Display a matrix as a color image.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
white
# name: <cell-element>
# type: string
# elements: 1
# length: 226
 -- Function File:  white (N)
     Create color colormap.  This colormap is completely white.  The argument N should be a scalar.  If it is omitted, the length of the current colormap or 64 is assumed.  See also: colormap.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 22
Create color colormap.

# name: <cell-element>
# type: string
# elements: 1
# length: 12
image_viewer
# name: <cell-element>
# type: string
# elements: 1
# length: 1707
 -- Function File: [FCN, DEFAULT_ZOOM] = image_viewer (FCN, DEFAULT_ZOOM)
     Change the program or function used for viewing images and return the previous values.

     When the `image' or `imshow' function is called it will launch an external program to display the image.  The default behavior is to use gnuplot if the installed version supports image viewing, and otherwise try the programs `display', `xv', and `xloadimage'.  Using this function it is possible to change that behavior.

     When called with one input argument images will be displayed by saving the image to a file and the system command COMMAND will be called to view the image.  The COMMAND must be a string containing `%s' and possibly `%f'.  The `%s' will be replaced by the filename of the image, and the `%f' will (if present) be replaced by the zoom factor given to the `image' function.  For example,
          image_viewer ("eog %s");
     changes the image viewer to the `eog' program.

     With two input arguments, images will be displayed by calling the function FUNCTION_HANDLE.  For example,
          image_viewer (data, @my_image_viewer);
     sets the image viewer function to `my_image_viewer'.  The image viewer function is called with
          my_image_viewer (X, Y, IM, ZOOM, DATA)
     where X and Y are the axis of the image, IM is the image variable, and DATA is extra user-supplied data to be passed to the viewer function.

     With three input arguments it is possible to change the zooming.  Some programs (like `xloadimage') require the zoom factor to be between 0 and 100, and not 0 and 1 like Octave assumes.  This is solved by setting the third argument to 100.

     See also: image, imshow.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 86
Change the program or function used for viewing images and return the previous values.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
hsv2rgb
# name: <cell-element>
# type: string
# elements: 1
# length: 142
 -- Function File: RGB_MAP = hsv2rgb (HSV_MAP)
     Transform a colormap or image from the hsv space to the rgb space.  See also: rgb2hsv.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 66
Transform a colormap or image from the hsv space to the rgb space.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
imwrite
# name: <cell-element>
# type: string
# elements: 1
# length: 627
 -- Function File:  imwrite (IMG, FILENAME, FMT, P1, V1, ...)
 -- Function File:  imwrite (IMG, MAP, FILENAME, FMT, P1, V1, ...)
     Write images in various file formats.

     If FMT is missing, the file extension (if any) of FILENAME is used to determine the format.

     The parameter-value pairs (P1, V1, ...) are optional.  Currently the following options are supported for JPEG images

    `Quality'
          Sets the quality of the compression.  The corresponding value should be an integer between 0 and 100, with larger values meaning higher visual quality and less compression.

     See also: imread, imfinfo.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 37
Write images in various file formats.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
contrast
# name: <cell-element>
# type: string
# elements: 1
# length: 246
 -- Function File:  contrast (X, N)
     Return a gray colormap that maximizes the contrast in an image.  The returned colormap will have N rows.  If N is not defined then the size of the current colormap is used instead.  See also: colormap.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 63
Return a gray colormap that maximizes the contrast in an image.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
rgb2ntsc
# name: <cell-element>
# type: string
# elements: 1
# length: 112
 -- Function File:  rgb2ntsc (RGB)
     Transform a colormap or image from RGB to NTSC.  See also: ntsc2rgb.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 47
Transform a colormap or image from RGB to NTSC.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
pink
# name: <cell-element>
# type: string
# elements: 1
# length: 250
 -- Function File:  pink (N)
     Create color colormap.  This colormap gives a sepia tone on black and white images.  The argument N should be a scalar.  If it is omitted, the length of the current colormap or 64 is assumed.  See also: colormap.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 22
Create color colormap.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
copper
# name: <cell-element>
# type: string
# elements: 1
# length: 239
 -- Function File:  copper (N)
     Create color colormap.  This colormap is black to a light copper tone.  The argument N should be a scalar.  If it is omitted, the length of the current colormap or 64 is assumed.  See also: colormap.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 22
Create color colormap.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
reallog
# name: <cell-element>
# type: string
# elements: 1
# length: 205
 -- Function File:  reallog (X)
     Return the real-valued natural logarithm of each element of X.  Report an error if any element results in a complex return value.  See also: log, realpow, realsqrt.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 62
Return the real-valued natural logarithm of each element of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
factor
# name: <cell-element>
# type: string
# elements: 1
# length: 346
 -- Function File: P = factor (Q)
 -- Function File: [P, N] = factor (Q)
     Return prime factorization of Q.  That is, `prod (P) == Q' and every element of P is a prime number.  If `Q == 1', returns 1.

     With two output arguments, return the unique primes P and their multiplicities.  That is, `prod (P .^ N) == Q'.  See also: gcd, lcm.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 32
Return prime factorization of Q.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
legendre
# name: <cell-element>
# type: string
# elements: 1
# length: 2244
 -- Function File: L = legendre (N, X)
 -- Function File: L = legendre (N, X, NORMALIZATION)
     Compute the Legendre function of degree N and order M = 0 ... N.  The optional argument, NORMALIZATION, may be one of `"unnorm"', `"sch"', or `"norm"'.  The default is `"unnorm"'.  The value of N must be a non-negative scalar integer.

     If the optional argument NORMALIZATION is missing or is `"unnorm"', compute the Legendre function of degree N and order M and return all values for M = 0 ... N.  The return value has one dimension more than X.

     The Legendre Function of degree N and order M:

           m        m       2  m/2   d^m
          P(x) = (-1) * (1-x  )    * ----  P (x)
           n                         dx^m   n

     with Legendre polynomial of degree N:

                    1     d^n   2    n
          P (x) = ------ [----(x - 1)  ]
           n      2^n n!  dx^n

     `legendre (3, [-1.0, -0.9, -0.8])' returns the matrix:

           x  |   -1.0   |   -0.9   |  -0.8
          ------------------------------------
          m=0 | -1.00000 | -0.47250 | -0.08000
          m=1 |  0.00000 | -1.99420 | -1.98000
          m=2 |  0.00000 | -2.56500 | -4.32000
          m=3 |  0.00000 | -1.24229 | -3.24000

     If the optional argument `normalization' is `"sch"', compute the Schmidt semi-normalized associated Legendre function.  The Schmidt semi-normalized associated Legendre function is related to the unnormalized Legendre functions by the following:

     For Legendre functions of degree n and order 0:

            0       0
          SP (x) = P (x)
            n       n

     For Legendre functions of degree n and order m:

            m       m          m    2(n-m)! 0.5
          SP (x) = P (x) * (-1)  * [-------]
            n       n               (n+m)!

     If the optional argument NORMALIZATION is `"norm"', compute the fully normalized associated Legendre function.  The fully normalized associated Legendre function is related to the unnormalized Legendre functions by the following:

     For Legendre functions of degree N and order M

            m       m          m    (n+0.5)(n-m)! 0.5
          NP (x) = P (x) * (-1)  * [-------------]
            n       n                   (n+m)!

# name: <cell-element>
# type: string
# elements: 1
# length: 59
Compute the Legendre function of degree N and order M = 0 .

# name: <cell-element>
# type: string
# elements: 1
# length: 5
betai
# name: <cell-element>
# type: string
# elements: 1
# length: 221
 -- Function File:  betai (A, B, X)
     This function is provided for compatibility with older versions of Octave.  New programs should use betainc instead.

     `betai (A, B, X)' is the same as `betainc (X, A, B)'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 74
This function is provided for compatibility with older versions of Octave.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
perms
# name: <cell-element>
# type: string
# elements: 1
# length: 353
 -- Function File:  perms (V)
     Generate all permutations of V, one row per permutation.  The result has size `factorial (N) * N', where N is the length of V.

     As an example, `perms([1, 2, 3])' returns the matrix
            1   2   3
            2   1   3
            1   3   2
            2   3   1
            3   1   2
            3   2   1

# name: <cell-element>
# type: string
# elements: 1
# length: 56
Generate all permutations of V, one row per permutation.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
realsqrt
# name: <cell-element>
# type: string
# elements: 1
# length: 200
 -- Function File:  realsqrt (X)
     Return the real-valued square root of each element of X.  Report an error if any element results in a complex return value.  See also: sqrt, realpow, reallog.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 56
Return the real-valued square root of each element of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
isprime
# name: <cell-element>
# type: string
# elements: 1
# length: 375
 -- Function File:  isprime (N)
     Return true if N is a prime number, false otherwise.

     Something like the following is much faster if you need to test a lot of small numbers:

             T = ismember (N, primes (max (N (:))));

     If max(n) is very large, then you should be using special purpose factorization code.

     See also: primes, factor, gcd, lcm.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 52
Return true if N is a prime number, false otherwise.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
factorial
# name: <cell-element>
# type: string
# elements: 1
# length: 328
 -- Function File:  factorial (N)
     Return the factorial of N where N is a positive integer.  If N is a scalar, this is equivalent to `prod (1:N)'.  For vector or matrix arguments, return the factorial of each element in the array.  For non-integers see the generalized factorial function `gamma'.  See also: prod, gamma.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 56
Return the factorial of N where N is a positive integer.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
erfinv
# name: <cell-element>
# type: string
# elements: 1
# length: 108
 -- Mapping Function:  erfinv (Z)
     Computes the inverse of the error function.  See also: erf, erfc.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 43
Computes the inverse of the error function.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
betaln
# name: <cell-element>
# type: string
# elements: 1
# length: 192
 -- Mapping Function:  betaln (A, B)
     Return the log of the Beta function,

          betaln (a, b) = gammaln (a) + gammaln (b) - gammaln (a + b)
     See also: beta, betainc, gammaln.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 37
Return the log of the Beta function, 

# name: <cell-element>
# type: string
# elements: 1
# length: 7
realpow
# name: <cell-element>
# type: string
# elements: 1
# length: 237
 -- Function File:  realpow (X, Y)
     Compute the real-valued, element-by-element power operator.  This is equivalent to `X .^ Y', except that `realpow' reports an error if any return value is complex.  See also: reallog, realsqrt.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 59
Compute the real-valued, element-by-element power operator.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
bessel
# name: <cell-element>
# type: string
# elements: 1
# length: 2013
 -- Loadable Function: [J, IERR] = besselj (ALPHA, X, OPT)
 -- Loadable Function: [Y, IERR] = bessely (ALPHA, X, OPT)
 -- Loadable Function: [I, IERR] = besseli (ALPHA, X, OPT)
 -- Loadable Function: [K, IERR] = besselk (ALPHA, X, OPT)
 -- Loadable Function: [H, IERR] = besselh (ALPHA, K, X, OPT)
     Compute Bessel or Hankel functions of various kinds:

    `besselj'
          Bessel functions of the first kind.  If the argument OPT is supplied, the result is multiplied by `exp(-abs(imag(x)))'.

    `bessely'
          Bessel functions of the second kind.  If the argument OPT is supplied, the result is multiplied by `exp(-abs(imag(x)))'.

    `besseli'
          Modified Bessel functions of the first kind.  If the argument OPT is supplied, the result is multiplied by `exp(-abs(real(x)))'.

    `besselk'
          Modified Bessel functions of the second kind.  If the argument OPT is supplied, the result is multiplied by `exp(x)'.

    `besselh'
          Compute Hankel functions of the first (K = 1) or second (K = 2) kind.  If the argument OPT is supplied, the result is multiplied by `exp (-I*X)' for K = 1 or `exp (I*X)' for K = 2.

     If ALPHA is a scalar, the result is the same size as X.  If X is a scalar, the result is the same size as ALPHA.  If ALPHA is a row vector and X is a column vector, the result is a matrix with `length (X)' rows and `length (ALPHA)' columns.  Otherwise, ALPHA and X must conform and the result will be the same size.

     The value of ALPHA must be real.  The value of X may be complex.

     If requested, IERR contains the following status information and is the same size as the result.

       0. Normal return.

       1. Input error, return `NaN'.

       2. Overflow, return `Inf'.

       3. Loss of significance by argument reduction results in less than half of machine accuracy.

       4. Complete loss of significance by argument reduction, return `NaN'.

       5. Error--no computation, algorithm termination condition not met, return `NaN'.

# name: <cell-element>
# type: string
# elements: 1
# length: 53
Compute Bessel or Hankel functions of various kinds: 

# name: <cell-element>
# type: string
# elements: 1
# length: 6
gammai
# name: <cell-element>
# type: string
# elements: 1
# length: 218
 -- Function File:  gammai (A, X)
     This function is provided for compatibility with older versions of Octave.  New programs should use `gammainc' instead.

     `gammai (A, X)' is the same as `gammainc (X, A)'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 74
This function is provided for compatibility with older versions of Octave.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
primes
# name: <cell-element>
# type: string
# elements: 1
# length: 407
 -- Function File:  primes (N)
     Return all primes up to N.

     The algorithm used is the Sieve of Erastothenes.

     Note that if you need a specific number of primes you can use the fact the distance from one prime to the next is, on average, proportional to the logarithm of the prime.  Integrating, one finds that there are about k primes less than k*log(5*k).  See also: list_primes, isprime.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 26
Return all primes up to N.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
pow2
# name: <cell-element>
# type: string
# elements: 1
# length: 209
 -- Mapping Function:  pow2 (X)
 -- Mapping Function:  pow2 (F, E)
     With one argument, computes 2 .^ x for each element of X.

     With two arguments, returns f .* (2 .^ e).  See also: log2, nextpow2.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 31
With one argument, computes 2 .

# name: <cell-element>
# type: string
# elements: 1
# length: 4
beta
# name: <cell-element>
# type: string
# elements: 1
# length: 147
 -- Mapping Function:  beta (A, B)
     For real inputs, return the Beta function,

          beta (a, b) = gamma (a) * gamma (b) / gamma (a + b).

# name: <cell-element>
# type: string
# elements: 1
# length: 43
For real inputs, return the Beta function, 

# name: <cell-element>
# type: string
# elements: 1
# length: 8
nchoosek
# name: <cell-element>
# type: string
# elements: 1
# length: 777
 -- Function File: C = nchoosek (N, K)
     Compute the binomial coefficient or all combinations of N.  If N is a scalar then, calculate the binomial coefficient of N and K, defined as

           /   \
           | n |    n (n-1) (n-2) ... (n-k+1)       n!
           |   |  = ------------------------- =  ---------
           | k |               k!                k! (n-k)!
           \   /

     If N is a vector generate all combinations of the elements of N, taken K at a time, one row per combination.  The resulting C has size `[nchoosek (length (N), K), K]'.

     `nchoosek' works only for non-negative integer arguments; use `bincoeff' for non-integer scalar arguments and for using vector arguments to compute many coefficients at once.

     See also: bincoeff.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 58
Compute the binomial coefficient or all combinations of N.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
wavread
# name: <cell-element>
# type: string
# elements: 1
# length: 765
 -- Function File: Y = wavread (FILENAME)
     Load the RIFF/WAVE sound file FILENAME, and return the samples in vector Y.  If the file contains multichannel data, then Y is a matrix with the channels represented as columns.

 -- Function File: [Y, FS, BITS] = wavread (FILENAME)
     Additionally return the sample rate (FS) in Hz and the number of bits per sample (BITS).

 -- Function File: [...] = wavread (FILENAME, N)
     Read only the first N samples from each channel.

 -- Function File: [...] = wavread (FILENAME,[N1 N2])
     Read only samples N1 through N2 from each channel.

 -- Function File: [SAMPLES, CHANNELS] = wavread (FILENAME, "size")
     Return the number of samples (N) and channels (CH) instead of the audio data.  See also: wavwrite.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 77
Return the number of samples (N) and channels (CH) instead of the audio data.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
lin2mu
# name: <cell-element>
# type: string
# elements: 1
# length: 383
 -- Function File:  lin2mu (X, N)
     Converts audio data from linear to mu-law.  Mu-law values use 8-bit unsigned integers.  Linear values use N-bit signed integers or floating point values in the range -1<=X<=1 if N is 0.  If N is not specified it defaults to 0, 8 or 16 depending on the range values in X.  See also: mu2lin, loadaudio, saveaudio, playaudio, setaudio, record.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 42
Converts audio data from linear to mu-law.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
setaudio
# name: <cell-element>
# type: string
# elements: 1
# length: 111
 -- Function File:  setaudio ([W_TYPE [, VALUE]])
     Execute the shell command `mixer [W_TYPE [, VALUE]]'
   
# name: <cell-element>
# type: string
# elements: 1
# length: 54
Execute the shell command `mixer [W_TYPE [, VALUE]]'  

# name: <cell-element>
# type: string
# elements: 1
# length: 6
record
# name: <cell-element>
# type: string
# elements: 1
# length: 339
 -- Function File:  record (SEC, SAMPLING_RATE)
     Records SEC seconds of audio input into the vector X.  The default value for SAMPLING_RATE is 8000 samples per second, or 8kHz.  The program waits until the user types <RET> and then immediately starts to record.  See also: lin2mu, mu2lin, loadaudio, saveaudio, playaudio, setaudio.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 53
Records SEC seconds of audio input into the vector X.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
mu2lin
# name: <cell-element>
# type: string
# elements: 1
# length: 341
 -- Function File:  mu2lin (X, BPS)
     Converts audio data from linear to mu-law.  Mu-law values are 8-bit unsigned integers.  Linear values use N-bit signed integers or floating point values in the range -1<=y<=1 if N is 0.  If N is not specified it defaults to 8.  See also: lin2mu, loadaudio, saveaudio, playaudio, setaudio, record.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 42
Converts audio data from linear to mu-law.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
saveaudio
# name: <cell-element>
# type: string
# elements: 1
# length: 357
 -- Function File:  saveaudio (NAME, X, EXT, BPS)
     Saves a vector X of audio data to the file `NAME.EXT'.  The optional parameters EXT and BPS determine the encoding and the number of bits per sample used in the audio file (see `loadaudio');  defaults are `lin' and 8, respectively.  See also: lin2mu, mu2lin, loadaudio, playaudio, setaudio, record.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 49
Saves a vector X of audio data to the file `NAME.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
wavwrite
# name: <cell-element>
# type: string
# elements: 1
# length: 389
 -- Function File:  wavwrite (Y, FILENAME)
 -- Function File:  wavwrite (Y, FS, FILENAME)
 -- Function File:  wavwrite (Y, FS, BITS, FILENAME)
     Write Y to the canonical RIFF/WAVE sound file FILENAME with sample rate FS and bits per sample BITS.  The default sample rate is 8000 Hz with 16-bits per sample.  Each column of the data represents a separate channel.  See also: wavread.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 100
Write Y to the canonical RIFF/WAVE sound file FILENAME with sample rate FS and bits per sample BITS.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
playaudio
# name: <cell-element>
# type: string
# elements: 1
# length: 225
 -- Function File:  playaudio (NAME, EXT)
 -- Function File:  playaudio (X)
     Plays the audio file `NAME.EXT' or the audio data stored in the vector X.  See also: lin2mu, mu2lin, loadaudio, saveaudio, setaudio, record.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 27
Plays the audio file `NAME.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
loadaudio
# name: <cell-element>
# type: string
# elements: 1
# length: 509
 -- Function File:  loadaudio (NAME, EXT, BPS)
     Loads audio data from the file `NAME.EXT' into the vector X.

     The extension EXT determines how the data in the audio file is interpreted;  the extensions `lin' (default) and `raw' correspond to linear, the extensions `au', `mu', or `snd' to mu-law encoding.

     The argument BPS can be either 8 (default) or 16, and specifies the number of bits per sample used in the audio file.  See also: lin2mu, mu2lin, saveaudio, playaudio, setaudio, record.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 37
Loads audio data from the file `NAME.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
lookfor
# name: <cell-element>
# type: string
# elements: 1
# length: 1152
 -- Command: lookfor STR
 -- Command: lookfor -all STR
 -- Function: [FUNC, HELPSTRING] = lookfor (STR)
 -- Function: [FUNC, HELPSTRING] = lookfor ('-all', STR)
     Search for the string STR in all functions found in the current function search path.  By default, `lookfor' searches for STR in the first sentence of the help string of each function found.  The entire help text of each function can be searched if the '-all' argument is supplied.  All searches are case insensitive.

     Called with no output arguments, `lookfor' prints the list of matching functions to the terminal.  Otherwise, the output arguments FUNC and HELPSTRING define the matching functions and the first sentence of each of their help strings.

     The ability of `lookfor' to correctly identify the first sentence of the help text is dependent on the format of the function's help.  All Octave core functions are correctly formatted, but the same can not be guaranteed for external packages and user-supplied functions.  Therefore, the use of the '-all' argument may be necessary to find related functions that are not a part of Octave.  See also: help, doc, which.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 85
Search for the string STR in all functions found in the current function search path.

# name: <cell-element>
# type: string
# elements: 1
# length: 13
gen_doc_cache
# name: <cell-element>
# type: string
# elements: 1
# length: 441
 -- Function File: gen_doc_cache (OUT_FILE, DIRECTORY)
     Generate documentation caches for all functions in a given directory.

     A documentation cache is generated for all functions in DIRECTORY.  The resulting cache is saved in the file OUT_FILE.  The cache is used to speed up `lookfor'.

     If no directory is given (or it is the empty matrix), a cache for builtin operators, etc. is generated.

     See also: lookfor, path.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 69
Generate documentation caches for all functions in a given directory.

# name: <cell-element>
# type: string
# elements: 1
# length: 23
get_first_help_sentence
# name: <cell-element>
# type: string
# elements: 1
# length: 837
 -- Function File: [RETVAL, STATUS] = get_first_help_sentence (NAME, MAX_LEN)
     Return the first sentence of a function help text.

     The function reads the first sentence of the help text of the function NAME.  The first sentence is defined as the text after the function declaration until either the first period (".") or the first appearance of two consecutive end-lines ("\n\n").  The text is truncated to a maximum length of MAX_LEN, which defaults to 80.

     The optional output argument STATUS returns the status reported by `makeinfo'.  If only one output argument is requested, and STATUS is non-zero, a warning is displayed.

     As an example, the first sentence of this help text is

          get_first_help_sentence ("get_first_help_sentence")
          -| ans = Return the first sentence of a function help text.

# name: <cell-element>
# type: string
# elements: 1
# length: 50
Return the first sentence of a function help text.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
help
# name: <cell-element>
# type: string
# elements: 1
# length: 501
 -- Command: help NAME
     Display the help text for NAME.  If invoked without any arguments, `help' prints a list of all the available operators and functions.

     For example, the command `help help' prints a short message describing the `help' command.

     The help command can give you information about operators, but not the comma and semicolons that are used as command separators.  To get help for those, you must type `help comma' or `help semicolon'.  See also: doc, lookfor, which.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 31
Display the help text for NAME.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
type
# name: <cell-element>
# type: string
# elements: 1
# length: 411
 -- Command: type options name ...
     Display the definition of each NAME that refers to a function.

     Normally also displays whether each NAME is user-defined or built-in; the `-q' option suppresses this behavior.

     If an output argument is requested nothing is displayed.  Instead, a cell array of strings is returned, where each element corresponds to the definition of each requested function.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 62
Display the definition of each NAME that refers to a function.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
which
# name: <cell-element>
# type: string
# elements: 1
# length: 180
 -- Command: which name ...
     Display the type of each NAME.  If NAME is defined from a function file, the full name of the file is also displayed.  See also: help, lookfor.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 30
Display the type of each NAME.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
print_usage
# name: <cell-element>
# type: string
# elements: 1
# length: 267
 -- Function File:  print_usage ()
 -- Function File:  print_usage (NAME)
     Print the usage message for a function.  When called with no input arguments the `print_usage' function displays the usage message of the currently executing function.  See also: help.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 39
Print the usage message for a function.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
doc
# name: <cell-element>
# type: string
# elements: 1
# length: 495
 -- Command: doc FUNCTION_NAME
     Display documentation for the function FUNCTION_NAME directly from an on-line version of the printed manual, using the GNU Info browser.  If invoked without any arguments, the manual is shown from the beginning.

     For example, the command `doc rand' starts the GNU Info browser at the `rand' node in the on-line version of the manual.

     Once the GNU Info browser is running, help for using it is available using the command `C-h'.  See also: help.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 136
Display documentation for the function FUNCTION_NAME directly from an on-line version of the printed manual, using the GNU Info browser.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
savepath
# name: <cell-element>
# type: string
# elements: 1
# length: 306
 -- Function File:  savepath (FILE)
     Save the portion of the current function search path, that is not set during Octave's initialization process, to FILE.  If FILE is omitted, `~/.octaverc' is used.  If successful, `savepath' returns 0.  See also: path, addpath, rmpath, genpath, pathdef, pathsep.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 118
Save the portion of the current function search path, that is not set during Octave's initialization process, to FILE.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
pathdef
# name: <cell-element>
# type: string
# elements: 1
# length: 393
 -- Function File: VAL = pathdef ()
     Return the default path for Octave.  The path information is extracted from one of three sources.  In order of preference, those are;

       1. `~/.octaverc'

       2. `<octave-home>/.../<version>/m/startup/octaverc'

       3. Octave's path prior to changes by any octaverc.
          See also: path, addpath, rmpath, genpath, savepath, pathsep.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 35
Return the default path for Octave.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
matlabroot
# name: <cell-element>
# type: string
# elements: 1
# length: 109
 -- Function File: VAL = matlabroot ()
     Return the location of Octave's home.  See also: OCTAVE_HOME.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 37
Return the location of Octave's home.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
ind2sub
# name: <cell-element>
# type: string
# elements: 1
# length: 414
 -- Function File: [S1, S2, ..., SN] = ind2sub (DIMS, IND)
     Convert a linear index into subscripts.

     The following example shows how to convert the linear index `8' in a 3-by-3 matrix into a subscript.  The matrix is linearly indexed moving from one column to next, filling up all rows in each column.
          [r, c] = ind2sub ([3, 3], 8)
          => r =  2
          c =  3
     See also: sub2ind.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 39
Convert a linear index into subscripts.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
celldisp
# name: <cell-element>
# type: string
# elements: 1
# length: 244
 -- Function File:  celldisp (C, NAME)
     Recursively display the contents of a cell array.  By default the values are displayed with the name of the variable C.  However, this name can be replaced with the variable NAME.  See also: disp.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 49
Recursively display the contents of a cell array.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
sub2ind
# name: <cell-element>
# type: string
# elements: 1
# length: 460
 -- Function File: IND = sub2ind (DIMS, I, J)
 -- Function File: IND = sub2ind (DIMS, S1, S2, ..., SN)
     Convert subscripts into a linear index.

     The following example shows how to convert the two-dimensional index `(2,3)' of a 3-by-3 matrix to a linear index.  The matrix is linearly indexed moving from one column to next, filling up all rows in each column.

          linear_index = sub2ind ([3, 3], 2, 3)
          => 8
     See also: ind2sub.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 39
Convert subscripts into a linear index.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
pol2cart
# name: <cell-element>
# type: string
# elements: 1
# length: 365
 -- Function File: [X, Y] = pol2cart (THETA, R)
 -- Function File: [X, Y, Z] = pol2cart (THETA, R, Z)
     Transform polar or cylindrical to Cartesian coordinates.  THETA, R (and Z) must be the same shape, or scalar.  THETA describes the angle relative to the positive x-axis.  R is the distance to the z-axis (0, 0, z).  See also: cart2pol, cart2sph, sph2cart.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 56
Transform polar or cylindrical to Cartesian coordinates.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
issymmetric
# name: <cell-element>
# type: string
# elements: 1
# length: 390
 -- Function File:  issymmetric (X, TOL)
     If X is symmetric within the tolerance specified by TOL, then return the dimension of X.  Otherwise, return 0.  If TOL is omitted, use a tolerance equal to the machine precision.  Matrix X is considered symmetric if `norm (X - X.', inf) / norm (X, inf) < TOL'.  See also: size, rows, columns, length, ismatrix, isscalar, issquare, isvector.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 88
If X is symmetric within the tolerance specified by TOL, then return the dimension of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
runlength
# name: <cell-element>
# type: string
# elements: 1
# length: 241
 -- Function File:  runlength (X)
     Find the lengths of all sequences of common values.  Return the vector of lengths and the value that was repeated.

          runlength ([2, 2, 0, 4, 4, 4, 0, 1, 1, 1, 1])
          =>  [2, 1, 3, 1, 4]

# name: <cell-element>
# type: string
# elements: 1
# length: 51
Find the lengths of all sequences of common values.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
circshift
# name: <cell-element>
# type: string
# elements: 1
# length: 766
 -- Function File: Y = circshift (X, N)
     Circularly shifts the values of the array X.  N must be a vector of integers no longer than the number of dimensions in X.  The values of N can be either positive or negative, which determines the direction in which the values or X are shifted.  If an element of N is zero, then the corresponding dimension of X will not be shifted.  For example

          x = [1, 2, 3; 4, 5, 6; 7, 8, 9];
          circshift (x, 1)
          =>  7, 8, 9
              1, 2, 3
              4, 5, 6
          circshift (x, -2)
          =>  7, 8, 9
              1, 2, 3
              4, 5, 6
          circshift (x, [0,1])
          =>  3, 1, 2
              6, 4, 5
              9, 7, 8
     See also: permute, ipermute, shiftdim.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 44
Circularly shifts the values of the array X.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
common_size
# name: <cell-element>
# type: string
# elements: 1
# length: 626
 -- Function File: [ERR, Y1, ...] = common_size (X1, ...)
     Determine if all input arguments are either scalar or of common size.  If so, ERR is zero, and YI is a matrix of the common size with all entries equal to XI if this is a scalar or XI otherwise.  If the inputs cannot be brought to a common size, errorcode is 1, and YI is XI.  For example,

          [errorcode, a, b] = common_size ([1 2; 3 4], 5)
               => errorcode = 0
               => a = [ 1, 2; 3, 4 ]
               => b = [ 5, 5; 5, 5 ]

     This is useful for implementing functions where arguments can either be scalars or of common size.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 69
Determine if all input arguments are either scalar or of common size.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
shift
# name: <cell-element>
# type: string
# elements: 1
# length: 283
 -- Function File:  shift (X, B)
 -- Function File:  shift (X, B, DIM)
     If X is a vector, perform a circular shift of length B of the elements of X.

     If X is a matrix, do the same for each column of X.  If the optional DIM argument is given, operate along this dimension
   
# name: <cell-element>
# type: string
# elements: 1
# length: 76
If X is a vector, perform a circular shift of length B of the elements of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
cumtrapz
# name: <cell-element>
# type: string
# elements: 1
# length: 452
 -- Function File: Z = cumtrapz (Y)
 -- Function File: Z = cumtrapz (X, Y)
 -- Function File: Z = cumtrapz (..., DIM)
     Cumulative numerical integration using trapezoidal method.  `cumtrapz (Y)' computes the cumulative integral of the Y along the first non-singleton dimension.  If the argument X is omitted a equally spaced vector is assumed.  `cumtrapz (X, Y)' evaluates the cumulative integral with respect to X.

     See also: trapz,cumsum.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 58
Cumulative numerical integration using trapezoidal method.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
gradient
# name: <cell-element>
# type: string
# elements: 1
# length: 1783
 -- Function File: DX = gradient (M)
 -- Function File: [DX, DY, DZ, ...] = gradient (M)
 -- Function File: [...] = gradient (M, S)
 -- Function File: [...] = gradient (M, X, Y, Z, ...)
 -- Function File: [...] = gradient (F, X0)
 -- Function File: [...] = gradient (F, X0, S)
 -- Function File: [...] = gradient (F, X0, X, Y, ...)
     Calculate the gradient of sampled data or a function.  If M is a vector, calculate the one-dimensional gradient of M.  If M is a matrix the gradient is calculated for each dimension.

     `[DX, DY] = gradient (M)' calculates the one dimensional gradient for X and Y direction if M is a matrix.  Additional return arguments can be use for multi-dimensional matrices.

     A constant spacing between two points can be provided by the S parameter.  If S is a scalar, it is assumed to be the spacing for all dimensions.  Otherwise, separate values of the spacing can be supplied by the X, ... arguments.  Scalar values specify an equidistant spacing.  Vector values for the X, ... arguments specify the coordinate for that dimension.  The length must match their respective dimension of M.

     At boundary points a linear extrapolation is applied.  Interior points are calculated with the first approximation of the numerical gradient

          y'(i) = 1/(x(i+1)-x(i-1)) * (y(i-1)-y(i+1)).

     If the first argument F is a function handle, the gradient of the function at the points in X0 is approximated using central difference.  For example, `gradient (@cos, 0)' approximates the gradient of the cosine function in the point x0 = 0.  As with sampled data, the spacing values between the points from which the gradient is estimated can be set via the S or DX, DY, ... arguments.  By default a spacing of 1 is used.  See also: diff, del2.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 53
Calculate the gradient of sampled data or a function.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
triplequad
# name: <cell-element>
# type: string
# elements: 1
# length: 636
 -- Function File:  triplequad (F, XA, XB, YA, YB, ZA, ZB, TOL, QUADF, ...)
     Numerically evaluate a triple integral.  The function over which to integrate is defined by `F', and the interval for the integration is defined by `[XA, XB, YA, YB, ZA, ZB]'.  The function F must accept a vector X and a scalar Y, and return a vector of the same length as X.

     If defined, TOL defines the absolute tolerance to which to which to integrate each sub-integral.

     Additional arguments, are passed directly to F.  To use the default value for TOL one may pass an empty matrix.  See also: dblquad, quad, quadv, quadl, quadgk, trapz.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 39
Numerically evaluate a triple integral.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
prepad
# name: <cell-element>
# type: string
# elements: 1
# length: 517
 -- Function File:  prepad (X, L, C)
 -- Function File:  prepad (X, L, C, DIM)
     Prepend (append) the scalar value C to the vector X until it is of length L.  If the third argument is not supplied, a value of 0 is used.

     If `length (X) > L', elements from the beginning (end) of X are removed until a vector of length L is obtained.

     If X is a matrix, elements are prepended or removed from each row.

     If the optional DIM argument is given, then operate along this dimension.  See also: postpad.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 76
Prepend (append) the scalar value C to the vector X until it is of length L.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
cellidx
# name: <cell-element>
# type: string
# elements: 1
# length: 602
 -- Function File: [IDXVEC, ERRMSG] = cellidx (LISTVAR, STRLIST)
     Return indices of string entries in LISTVAR that match strings in STRLIST.

     Both LISTVAR and STRLIST may be passed as strings or string matrices.  If they are passed as string matrices, each entry is processed by `deblank' prior to searching for the entries.

     The first output is the vector of indices in LISTVAR.

     If STRLIST contains a string not in LISTVAR, then an error message is returned in ERRMSG.  If only one output argument is requested, then CELLIDX prints ERRMSG to the screen and exits with an error.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 74
Return indices of string entries in LISTVAR that match strings in STRLIST.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
bitget
# name: <cell-element>
# type: string
# elements: 1
# length: 277
 -- Function File: X = bitget (A,N)
     Return the status of bit(s) N of unsigned integers in A the lowest significant bit is N = 1.

          bitget (100, 8:-1:1)
          => 0  1  1  0  0  1  0  0
     See also: bitand, bitor, bitxor, bitset, bitcmp, bitshift, bitmax.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 92
Return the status of bit(s) N of unsigned integers in A the lowest significant bit is N = 1.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
tril
# name: <cell-element>
# type: string
# elements: 1
# length: 988
 -- Function File:  tril (A, K)
 -- Function File:  triu (A, K)
     Return a new matrix formed by extracting the lower (`tril') or upper (`triu') triangular part of the matrix A, and setting all other elements to zero.  The second argument is optional, and specifies how many diagonals above or below the main diagonal should also be set to zero.

     The default value of K is zero, so that `triu' and `tril' normally include the main diagonal as part of the result matrix.

     If the value of K is negative, additional elements above (for `tril') or below (for `triu') the main diagonal are also selected.

     The absolute value of K must not be greater than the number of sub- or super-diagonals.

     For example,

          tril (ones (3), -1)
               =>  0  0  0
                   1  0  0
                   1  1  0

     and

          tril (ones (3), 1)
               =>  1  1  0
                   1  1  1
                   1  1  1
     See also: triu, diag.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 150
Return a new matrix formed by extracting the lower (`tril') or upper (`triu') triangular part of the matrix A, and setting all other elements to zero.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
num2str
# name: <cell-element>
# type: string
# elements: 1
# length: 1331
 -- Function File:  num2str (X)
 -- Function File:  num2str (X, PRECISION)
 -- Function File:  num2str (X, FORMAT)
     Convert a number (or array) to a string (or a character array).  The optional second argument may either give the number of significant digits (PRECISION) to be used in the output or a format template string (FORMAT) as in `sprintf' (*note Formatted Output::).  `num2str' can also handle complex numbers.  For example:

          num2str (123.456)
               => "123.46"

          num2str (123.456, 4)
               => "123.5"

          s = num2str ([1, 1.34; 3, 3.56], "%5.1f")
               => s =
                  1.0  1.3
                  3.0  3.6
          whos s
               =>
                Attr Name        Size                     Bytes  Class
                ==== ====        ====                     =====  =====
                     s           2x8                         16  char

          num2str (1.234 + 27.3i)
               => "1.234+27.3i"

     The `num2str' function is not very flexible.  For better control over the results, use `sprintf' (*note Formatted Output::).  Note that for complex X, the format string may only contain one output conversion specification and nothing else.  Otherwise, you will get unpredictable results.  See also: sprintf, int2str, mat2str.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 63
Convert a number (or array) to a string (or a character array).

# name: <cell-element>
# type: string
# elements: 1
# length: 6
bitcmp
# name: <cell-element>
# type: string
# elements: 1
# length: 352
 -- Function File:  bitcmp (A, K)
     Return the K-bit complement of integers in A.  If K is omitted `k = log2 (bitmax) + 1' is assumed.

          bitcmp(7,4)
          => 8
          dec2bin(11)
          => 1011
          dec2bin(bitcmp(11, 6))
          => 110100
     See also: bitand, bitor, bitxor, bitset, bitget, bitcmp, bitshift, bitmax.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 45
Return the K-bit complement of integers in A.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
rem
# name: <cell-element>
# type: string
# elements: 1
# length: 298
 -- Mapping Function:  rem (X, Y)
     Return the remainder of the division `X / Y', computed using the expression

          x - y .* fix (x ./ y)

     An error message is printed if the dimensions of the arguments do not agree, or if either of the arguments is complex.  See also: mod, fmod.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 76
Return the remainder of the division `X / Y', computed using the expression 

# name: <cell-element>
# type: string
# elements: 1
# length: 8
interp1q
# name: <cell-element>
# type: string
# elements: 1
# length: 714
 -- Function File: YI = interp1q (X, Y, XI)
     One-dimensional linear interpolation without error checking.  Interpolates Y, defined at the points X, at the points XI.  The sample points X must be a strictly monotonically increasing column vector.  If Y is an array, treat the columns of Y separately.  If Y is a vector, it must be a column vector of the same length as X.

     Values of XI beyond the endpoints of the interpolation result in NA being returned.

     Note that the error checking is only a significant portion of the execution time of this `interp1' if the size of the input arguments is relatively small.  Therefore, the benefit of using `interp1q' is relatively small.  See also: interp1.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 60
One-dimensional linear interpolation without error checking.

# name: <cell-element>
# type: string
# elements: 1
# length: 18
is_duplicate_entry
# name: <cell-element>
# type: string
# elements: 1
# length: 118
 -- Function File:  is_duplicate_entry (X)
     Return non-zero if any entries in X are duplicates of one another.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 66
Return non-zero if any entries in X are duplicates of one another.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
polyarea
# name: <cell-element>
# type: string
# elements: 1
# length: 475
 -- Function File:  polyarea (X, Y)
 -- Function File:  polyarea (X, Y, DIM)
     Determines area of a polygon by triangle method.  The variables X and Y define the vertex pairs, and must therefore have the same shape.  They can be either vectors or arrays.  If they are arrays then the columns of X and Y are treated separately and an area returned for each.

     If the optional DIM argument is given, then `polyarea' works along this dimension of the arrays X and Y.

   
# name: <cell-element>
# type: string
# elements: 1
# length: 48
Determines area of a polygon by triangle method.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
structfun
# name: <cell-element>
# type: string
# elements: 1
# length: 1710
 -- Function File:  structfun (FUNC, S)
 -- Function File: [A, B] = structfun (...)
 -- Function File:  structfun (..., "ErrorHandler", ERRFUNC)
 -- Function File:  structfun (..., "UniformOutput", VAL)
     Evaluate the function named NAME on the fields of the structure S.  The fields of S are passed to the function FUNC individually.

     `structfun' accepts an arbitrary function FUNC in the form of an inline function, function handle, or the name of a function (in a character string).  In the case of a character string argument, the function must accept a single argument named X, and it must return a string value.  If the function returns more than one argument, they are returned as separate output variables.

     If the parameter "UniformOutput" is set to true (the default), then the function must return a single element which will be concatenated into the return value.  If "UniformOutput" is false, the outputs placed in a structure with the same fieldnames as the input structure.

          s.name1 = "John Smith";
          s.name2 = "Jill Jones";
          structfun (@(x) regexp (x, '(\w+)$', "matches"){1}, s,
                     "UniformOutput", false)

     Given the parameter "ErrorHandler", then ERRFUNC defines a function to call in case FUNC generates an error.  The form of the function is

          function [...] = errfunc (SE, ...)

     where there is an additional input argument to ERRFUNC relative to FUNC, given by SE.  This is a structure with the elements "identifier", "message" and "index", giving respectively the error identifier, the error message, and the index into the input arguments of the element that caused the error.  See also: cellfun, arrayfun.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 66
Evaluate the function named NAME on the fields of the structure S.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
isa
# name: <cell-element>
# type: string
# elements: 1
# length: 93
 -- Function File:  isa (X, CLASS)
     Return true if X is a value from the class CLASS.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 49
Return true if X is a value from the class CLASS.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
del2
# name: <cell-element>
# type: string
# elements: 1
# length: 1132
 -- Function File: D = del2 (M)
 -- Function File: D = del2 (M, H)
 -- Function File: D = del2 (M, DX, DY, ...)
     Calculate the discrete Laplace operator.  For a 2-dimensional matrix M this is defined as

                1    / d^2            d^2         \
          D  = --- * | ---  M(x,y) +  ---  M(x,y) |
                4    \ dx^2           dy^2        /

     For N-dimensional arrays the sum in parentheses is expanded to include second derivatives over the additional higher dimensions.

     The spacing between evaluation points may be defined by H, which is a scalar defining the equidistant spacing in all dimensions.  Alternatively, the spacing in each dimension may be defined separately by DX, DY, etc.  A scalar spacing argument defines equidistant spacing, whereas a vector argument can be used to specify variable spacing.  The length of the spacing vectors must match the respective dimension of M.  The default spacing value is 1.

     At least 3 data points are needed for each dimension.  Boundary points are calculated from the linear extrapolation of interior points.

     See also: gradient, diff.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 40
Calculate the discrete Laplace operator.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
logspace
# name: <cell-element>
# type: string
# elements: 1
# length: 431
 -- Function File:  logspace (BASE, LIMIT, N)
     Similar to `linspace' except that the values are logarithmically spaced from 10^base to 10^limit.

     If LIMIT is equal to pi, the points are between 10^base and pi, _not_ 10^base and 10^pi, in order to be compatible with the corresponding MATLAB function.

     Also for compatibility, return the second argument if fewer than two values are requested.  See also: linspace.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 97
Similar to `linspace' except that the values are logarithmically spaced from 10^base to 10^limit.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
bicubic
# name: <cell-element>
# type: string
# elements: 1
# length: 335
 -- Function File: ZI = bicubic (X, Y, Z, XI, YI, EXTRAPVAL)
     Return a matrix ZI corresponding to the bicubic interpolations at XI and YI of the data supplied as X, Y and Z.  Points outside the grid are set to EXTRAPVAL.

     See `http://wiki.woodpecker.org.cn/moin/Octave/Bicubic' for further information.  See also: interp2.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 111
Return a matrix ZI corresponding to the bicubic interpolations at XI and YI of the data supplied as X, Y and Z.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
sortrows
# name: <cell-element>
# type: string
# elements: 1
# length: 313
 -- Function File:  sortrows (A, C)
     Sort the rows of the matrix A according to the order of the columns specified in C.  If C is omitted, a lexicographical sort is used.  By default ascending order is used however if elements of C are negative then the corresponding column is sorted in descending order.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 83
Sort the rows of the matrix A according to the order of the columns specified in C.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
subsindex
# name: <cell-element>
# type: string
# elements: 1
# length: 824
 -- Function File: IDX = subsindex (A)
     Convert an object to an index vector.  When A is a class object defined with a class constructor, then `subsindex' is the overloading method that allows the conversion of this class object to a valid indexing vector.  It is important to note that `subsindex' must return a zero-based real integer vector of the class "double".  For example, if the class constructor

          function b = myclass (a)
           b = myclass (struct ("a", a), "myclass");
          endfunction

     then the `subsindex' function

          function idx = subsindex (a)
           idx = double (a.a) - 1.0;
          endfunction

     can then be used as follows

          a = myclass (1:4);
          b = 1:10;
          b(a)
          => 1  2  3  4

     See also: class, subsref, subsasgn.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 37
Convert an object to an index vector.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
interp2
# name: <cell-element>
# type: string
# elements: 1
# length: 1759
 -- Function File: ZI = interp2 (X, Y, Z, XI, YI)
 -- Function File: ZI = interp2 (Z, XI, YI)
 -- Function File: ZI = interp2 (Z, N)
 -- Function File: ZI = interp2 (..., METHOD)
 -- Function File: ZI = interp2 (..., METHOD, EXTRAPVAL)
     Two-dimensional interpolation.  X, Y and Z describe a surface function.  If X and Y are vectors their length must correspondent to the size of Z.  X and Y must be monotonic.  If they are matrices they must have the `meshgrid' format.

    `interp2 (X, Y, Z, XI, YI, ...)'
          Returns a matrix corresponding to the points described by the matrices XI, YI.

          If the last argument is a string, the interpolation method can be specified.  The method can be 'linear', 'nearest' or 'cubic'.  If it is omitted 'linear' interpolation is assumed.

    `interp2 (Z, XI, YI)'
          Assumes `X = 1:rows (Z)' and `Y = 1:columns (Z)'

    `interp2 (Z, N)'
          Interleaves the matrix Z n-times.  If N is omitted a value of `N = 1' is assumed.

     The variable METHOD defines the method to use for the interpolation.  It can take one of the following values

    'nearest'
          Return the nearest neighbor.

    'linear'
          Linear interpolation from nearest neighbors.

    'pchip'
          Piece-wise cubic hermite interpolating polynomial (not implemented yet).

    'cubic'
          Cubic interpolation from four nearest neighbors.

    'spline'
          Cubic spline interpolation-smooth first and second derivatives throughout the curve.

     If a scalar value EXTRAPVAL is defined as the final value, then values outside the mesh as set to this value.  Note that in this case METHOD must be defined as well.  If EXTRAPVAL is not defined then NA is assumed.

     See also: interp1.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 30
Two-dimensional interpolation.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
repmat
# name: <cell-element>
# type: string
# elements: 1
# length: 257
 -- Function File:  repmat (A, M, N)
 -- Function File:  repmat (A, [M N])
 -- Function File:  repmat (A, [M N P ...])
     Form a block matrix of size M by N, with a copy of matrix A as each element.  If N is not specified, form an M by M block matrix.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 76
Form a block matrix of size M by N, with a copy of matrix A as each element.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
isequal
# name: <cell-element>
# type: string
# elements: 1
# length: 128
 -- Function File:  isequal (X1, X2, ...)
     Return true if all of X1, X2, ... are equal.  See also: isequalwithequalnans.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 31
Return true if all of X1, X2, .

# name: <cell-element>
# type: string
# elements: 1
# length: 4
deal
# name: <cell-element>
# type: string
# elements: 1
# length: 494
 -- Function File: [R1, R2, ..., RN] = deal (A)
 -- Function File: [R1, R2, ..., RN] = deal (A1, A2, ..., AN)
     Copy the input parameters into the corresponding output parameters.  If only one input parameter is supplied, its value is copied to each of the outputs.

     For example,

          [a, b, c] = deal (x, y, z);

     is equivalent to

          a = x;
          b = y;
          c = z;

     and

          [a, b, c] = deal (x);

     is equivalent to

          a = b = c = x;

# name: <cell-element>
# type: string
# elements: 1
# length: 67
Copy the input parameters into the corresponding output parameters.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
quadv
# name: <cell-element>
# type: string
# elements: 1
# length: 1075
 -- Function File: Q = quadv (F, A, B)
 -- Function File: Q = quadl (F, A, B, TOL)
 -- Function File: Q = quadl (F, A, B, TOL, TRACE)
 -- Function File: Q = quadl (F, A, B, TOL, TRACE, P1, P2, ...)
 -- Function File: [Q, FCNT] = quadl (...)
     Numerically evaluate integral using adaptive Simpson's rule.  `quadv (F, A, B)' approximates the integral of `F(X)' to the default absolute tolerance of `1e-6'.  F is either a function handle, inline function or string containing the name of the function to evaluate.  The function F must accept a string, and can return a vector representing the approximation to N different sub-functions.

     If defined, TOL defines the absolute tolerance to which to which to integrate each sub-interval of `F(X)'.  While if TRACE is defined, displays the left end point of the current interval, the interval length, and the partial integral.

     Additional arguments P1, etc., are passed directly to F.  To use default values for TOL and TRACE, one may pass empty matrices.  See also: triplequad, dblquad, quad, quadl, quadgk, trapz.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 60
Numerically evaluate integral using adaptive Simpson's rule.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
randperm
# name: <cell-element>
# type: string
# elements: 1
# length: 122
 -- Function File:  randperm (N)
     Return a row vector containing a random permutation of the integers from 1 to N.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 80
Return a row vector containing a random permutation of the integers from 1 to N.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
interpn
# name: <cell-element>
# type: string
# elements: 1
# length: 1600
 -- Function File: VI = interpn (X1, X2, ..., V, Y1, Y2, ...)
 -- Function File: VI = interpn (V, Y1, Y2, ...)
 -- Function File: VI = interpn (V, M)
 -- Function File: VI = interpn (V)
 -- Function File: VI = interpn (..., METHOD)
 -- Function File: VI = interpn (..., METHOD, EXTRAPVAL)
     Perform N-dimensional interpolation, where N is at least two.  Each element of the N-dimensional array V represents a value at a location given by the parameters X1, X2, ..., XN.  The parameters X1, X2, ..., XN are either N-dimensional arrays of the same size as the array V in the 'ndgrid' format or vectors.  The parameters Y1, etc. respect a similar format to X1, etc., and they represent the points at which the array VI is interpolated.

     If X1, ..., XN are omitted, they are assumed to be `x1 = 1 : size (V, 1)', etc.  If M is specified, then the interpolation adds a point half way between each of the interpolation points.  This process is performed M times.  If only V is specified, then M is assumed to be `1'.

     Method is one of:

    'nearest'
          Return the nearest neighbor.

    'linear'
          Linear interpolation from nearest neighbors.

    'cubic'
          Cubic interpolation from four nearest neighbors (not implemented yet).

    'spline'
          Cubic spline interpolation-smooth first and second derivatives throughout the curve.

     The default method is 'linear'.

     If EXTRAPVAL is the scalar value, use it to replace the values beyond the endpoints with that number.  If EXTRAPVAL is missing, assume NA.  See also: interp1, interp2, spline, ndgrid.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 61
Perform N-dimensional interpolation, where N is at least two.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
fliplr
# name: <cell-element>
# type: string
# elements: 1
# length: 331
 -- Function File:  fliplr (X)
     Return a copy of X with the order of the columns reversed.  For example,

          fliplr ([1, 2; 3, 4])
               =>  2  1
                   4  3

     Note that `fliplr' only work with 2-D arrays.  To flip N-d arrays use `flipdim' instead.  See also: flipud, flipdim, rot90, rotdim.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 58
Return a copy of X with the order of the columns reversed.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
blkdiag
# name: <cell-element>
# type: string
# elements: 1
# length: 215
 -- Function File:  blkdiag (A, B, C, ...)
     Build a block diagonal matrix from A, B, C, ....  All the arguments must be numeric and are two-dimensional matrices or scalars.  See also: diag, horzcat, vertcat.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 45
Build a block diagonal matrix from A, B, C, .

# name: <cell-element>
# type: string
# elements: 1
# length: 8
cell2mat
# name: <cell-element>
# type: string
# elements: 1
# length: 274
 -- Function File: M = cell2mat (C)
     Convert the cell array C into a matrix by concatenating all elements of C into a hyperrectangle.  Elements of C must be numeric, logical or char, and `cat' must be able to concatenate them together.  See also: mat2cell, num2cell.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 96
Convert the cell array C into a matrix by concatenating all elements of C into a hyperrectangle.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
interpft
# name: <cell-element>
# type: string
# elements: 1
# length: 510
 -- Function File:  interpft (X, N)
 -- Function File:  interpft (X, N, DIM)
     Fourier interpolation.  If X is a vector, then X is resampled with N points.  The data in X is assumed to be equispaced.  If X is an array, then operate along each column of the array separately.  If DIM is specified, then interpolate along the dimension DIM.

     `interpft' assumes that the interpolated function is periodic, and so assumptions are made about the end points of the interpolation.

     See also: interp1.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 22
Fourier interpolation.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
triu
# name: <cell-element>
# type: string
# elements: 1
# length: 50
 -- Function File:  triu (A, K)
     See tril.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 9
See tril.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
strerror
# name: <cell-element>
# type: string
# elements: 1
# length: 264
 -- Function File:  strerror (NAME, NUM)
     Return the text of an error message for function NAME corresponding to the error number NUM.  This function is intended to be used to print useful error messages for those functions that return numeric error codes.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 92
Return the text of an error message for function NAME corresponding to the error number NUM.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
nargoutchk
# name: <cell-element>
# type: string
# elements: 1
# length: 506
 -- Function File: MSGSTR = nargoutchk (MINARGS, MAXARGS, NARGS)
 -- Function File: MSGSTR = nargoutchk (MINARGS, MAXARGS, NARGS, "string")
 -- Function File: MSGSTRUCT = nargoutchk (MINARGS, MAXARGS, NARGS, "struct")
     Return an appropriate error message string (or structure) if the number of outputs requested is invalid.

     This is useful for checking to see that the number of output arguments supplied to a function is within an acceptable range.  See also: nargchk, error, nargout, nargin.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 104
Return an appropriate error message string (or structure) if the number of outputs requested is invalid.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
trapz
# name: <cell-element>
# type: string
# elements: 1
# length: 400
 -- Function File: Z = trapz (Y)
 -- Function File: Z = trapz (X, Y)
 -- Function File: Z = trapz (..., DIM)
     Numerical integration using trapezoidal method.  `trapz (Y)' computes the integral of the Y along the first non-singleton dimension.  If the argument X is omitted a equally spaced vector is assumed.  `trapz (X, Y)' evaluates the integral with respect to X.

     See also: cumtrapz.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 47
Numerical integration using trapezoidal method.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
dblquad
# name: <cell-element>
# type: string
# elements: 1
# length: 619
 -- Function File:  dblquad (F, XA, XB, YA, YB, TOL, QUADF, ...)
     Numerically evaluate a double integral.  The function over with to integrate is defined by `F', and the interval for the integration is defined by `[XA, XB, YA, YB]'.  The function F must accept a vector X and a scalar Y, and return a vector of the same length as X.

     If defined, TOL defines the absolute tolerance to which to which to integrate each sub-integral.

     Additional arguments, are passed directly to F.  To use the default value for TOL one may pass an empty matrix.  See also: triplequad, quad, quadv, quadl, quadgk, trapz.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 39
Numerically evaluate a double integral.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
isdir
# name: <cell-element>
# type: string
# elements: 1
# length: 71
 -- Function File:  isdir (F)
     Return true if F is a directory.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 32
Return true if F is a directory.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
isvector
# name: <cell-element>
# type: string
# elements: 1
# length: 150
 -- Function File:  isvector (A)
     Return 1 if A is a vector.  Otherwise, return 0.  See also: size, rows, columns, length, isscalar, ismatrix.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 26
Return 1 if A is a vector.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
cart2pol
# name: <cell-element>
# type: string
# elements: 1
# length: 361
 -- Function File: [THETA, R] = cart2pol (X, Y)
 -- Function File: [THETA, R, Z] = cart2pol (X, Y, Z)
     Transform Cartesian to polar or cylindrical coordinates.  X, Y (and Z) must be the same shape, or scalar.  THETA describes the angle relative to the positive x-axis.  R is the distance to the z-axis (0, 0, z).  See also: pol2cart, cart2sph, sph2cart.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 56
Transform Cartesian to polar or cylindrical coordinates.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
idivide
# name: <cell-element>
# type: string
# elements: 1
# length: 1283
 -- Function File:  idivide (X, Y, OP)
     Integer division with different round rules.  The standard behavior of the an integer division such as `A ./ B' is to round the result to the nearest integer.  This is not always the desired behavior and `idivide' permits integer element-by-element division to be performed with different treatment for the fractional part of the division as determined by the OP flag.  OP is a string with one of the values:

    "fix"
          Calculate `A ./ B' with the fractional part rounded towards zero.

    "round"
          Calculate `A ./ B' with the fractional part rounded towards the nearest integer.

    "floor"
          Calculate `A ./ B' with the fractional part rounded downwards.

    "ceil"
          Calculate `A ./ B' with the fractional part rounded upwards.

     If OP is not given it is assumed that it is `"fix"'.  An example demonstrating these rounding rules is

          idivide (int8 ([-3, 3]), int8 (4), "fix")
          => int8 ([0, 0])
          idivide (int8 ([-3, 3]), int8 (4), "round")
          => int8 ([-1, 1])
          idivide (int8 ([-3, 3]), int8 (4), "ceil")
          => int8 ([0, 1])
          idivide (int8 ([-3, 3]), int8 (4), "floor")
          => int8 ([-1, 0])

     See also: ldivide, rdivide.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 44
Integer division with different round rules.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
diff
# name: <cell-element>
# type: string
# elements: 1
# length: 852
 -- Function File:  diff (X, K, DIM)
     If X is a vector of length N, `diff (X)' is the vector of first differences X(2) - X(1), ..., X(n) - X(n-1).

     If X is a matrix, `diff (X)' is the matrix of column differences along the first non-singleton dimension.

     The second argument is optional.  If supplied, `diff (X, K)', where K is a non-negative integer, returns the K-th differences.  It is possible that K is larger than then first non-singleton dimension of the matrix.  In this case, `diff' continues to take the differences along the next non-singleton dimension.

     The dimension along which to take the difference can be explicitly stated with the optional variable DIM.  In this case the K-th order differences are calculated along this dimension.  In the case where K exceeds `size (X, DIM)' then an empty matrix is returned.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 90
If X is a vector of length N, `diff (X)' is the vector of first differences X(2) - X(1), .

# name: <cell-element>
# type: string
# elements: 1
# length: 7
loadobj
# name: <cell-element>
# type: string
# elements: 1
# length: 479
 -- Function File: B = loadobj (A)
     Method of a class to manipulate an object after loading it from a file.  The function `loadobj' is called when the object A is loaded using the `load' function.  An example of the use of `saveobj' might be to add fields to an object that don't make sense to be saved.  For example

          function b = loadobj (a)
            b = a;
            b.addmissingfield = addfield (b);
          endfunction

     See also: saveobj, class.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 71
Method of a class to manipulate an object after loading it from a file.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
sph2cart
# name: <cell-element>
# type: string
# elements: 1
# length: 346
 -- Function File: [X, Y, Z] = sph2cart (THETA, PHI, R)
     Transform spherical to Cartesian coordinates.  X, Y and Z must be the same shape, or scalar.  THETA describes the angle relative to the positive x-axis.  PHI is the angle relative to the xy-plane.  R is the distance to the origin (0, 0, 0).  See also: pol2cart, cart2pol, cart2sph.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 45
Transform spherical to Cartesian coordinates.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
cart2sph
# name: <cell-element>
# type: string
# elements: 1
# length: 346
 -- Function File: [THETA, PHI, R] = cart2sph (X, Y, Z)
     Transform Cartesian to spherical coordinates.  X, Y and Z must be the same shape, or scalar.  THETA describes the angle relative to the positive x-axis.  PHI is the angle relative to the xy-plane.  R is the distance to the origin (0, 0, 0).  See also: pol2cart, cart2pol, sph2cart.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 45
Transform Cartesian to spherical coordinates.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
flipdim
# name: <cell-element>
# type: string
# elements: 1
# length: 241
 -- Function File:  flipdim (X, DIM)
     Return a copy of X flipped about the dimension DIM.  For example

          flipdim ([1, 2; 3, 4], 2)
               =>  2  1
                   4  3
     See also: fliplr, flipud, rot90, rotdim.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 51
Return a copy of X flipped about the dimension DIM.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
quadgk
# name: <cell-element>
# type: string
# elements: 1
# length: 3565
 -- Function File:  quadgk (F, A, B, ABSTOL, TRACE)
 -- Function File:  quadgk (F, A, B, PROP, VAL, ...)
 -- Function File: [Q, ERR] = quadgk (...)
     Numerically evaluate integral using adaptive Gauss-Konrod quadrature.  The formulation is based on a proposal by L.F. Shampine, `"Vectorized adaptive quadrature in MATLAB", Journal of Computational and Applied Mathematics, pp131-140, Vol 211, Issue 2, Feb 2008' where all function evaluations at an iteration are calculated with a single call to F.  Therefore the function F must be of the form `F (X)' and accept vector values of X and return a vector of the same length representing the function evaluations at the given values of X.  The function F can be defined in terms of a function handle, inline function or string.

     The bounds of the quadrature `[A, B]' can be finite or infinite and contain weak end singularities.  Variable transformation will be used to treat infinite intervals and weaken the singularities.  For example

          quadgk(@(x) 1 ./ (sqrt (x) .* (x + 1)), 0, Inf)

     Note that the formulation of the integrand uses the element-by-element operator `./' and all user functions to `quadgk' should do the same.

     The absolute tolerance can be passed as a fourth argument in a manner compatible with `quadv'.  Equally the user can request that information on the convergence can be printed is the fifth argument is logically true.

     Alternatively, certain properties of `quadgk' can be passed as pairs `PROP, VAL'.  Valid properties are

    `AbsTol'
          Defines the absolute error tolerance for the quadrature.  The default absolute tolerance is 1e-10.

    `RelTol'
          Defines the relative error tolerance for the quadrature.  The default relative tolerance is 1e-5.

    `MaxIntervalCount'
          `quadgk' initially subdivides the interval on which to perform the quadrature into 10 intervals.  Sub-intervals that have an unacceptable error are sub-divided and re-evaluated.  If the number of sub-intervals exceeds at any point 650 sub-intervals then a poor convergence is signaled and the current estimate of the integral is returned.  The property 'MaxIntervalCount' can be used to alter the number of sub-intervals that can exist before exiting.

    `WayPoints'
          If there exists discontinuities in the first derivative of the function to integrate, then these can be flagged with the `"WayPoints"' property.  This forces the ends of a sub-interval to fall on the breakpoints of the function and can result in significantly improved estimation of the error in the integral, faster computation or both.  For example,

               quadgk (@(x) abs (1 - x .^ 2), 0, 2, 'Waypoints', 1)

          signals the breakpoint in the integrand at `X = 1'.

    `Trace'
          If logically true, then `quadgk' prints information on the convergence of the quadrature at each iteration.

     If any of A, B or WAYPOINTS is complex, then the quadrature is treated as a contour integral along a piecewise continuous path defined by the above.  In this case the integral is assumed to have no edge singularities.  For example

          quadgk (@(z) log (z), 1+1i, 1+1i, "WayPoints",
                  [1-1i, -1,-1i, -1+1i])

     integrates `log (z)' along the square defined by `[1+1i,  1-1i, -1-1i, -1+1i]'

     If two output arguments are requested, then ERR returns the approximate bounds on the error in the integral `abs (Q - I)', where I is the exact value of the integral.

     See also: triplequad, dblquad, quad, quadl, quadv, trapz.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 69
Numerically evaluate integral using adaptive Gauss-Konrod quadrature.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
perror
# name: <cell-element>
# type: string
# elements: 1
# length: 271
 -- Function File:  perror (NAME, NUM)
     Print the error message for function NAME corresponding to the error number NUM.  This function is intended to be used to print useful error messages for those functions that return numeric error codes.  See also: strerror.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 80
Print the error message for function NAME corresponding to the error number NUM.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
saveobj
# name: <cell-element>
# type: string
# elements: 1
# length: 635
 -- Function File: B = saveobj (A)
     Method of a class to manipulate an object prior to saving it to a file.  The function `saveobj' is called when the object A is saved using the `save' function.  An example of the use of `saveobj' might be to remove fields of the object that don't make sense to be saved or it might be used to ensure that certain fields of the object are initialized before the object is saved.  For example

          function b = saveobj (a)
            b = a;
            if (isempty (b.field))
               b.field = initfield(b);
            endif
          endfunction

     See also: loadobj, class.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 71
Method of a class to manipulate an object prior to saving it to a file.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
interp3
# name: <cell-element>
# type: string
# elements: 1
# length: 1656
 -- Function File: VI = interp3 (X, Y,Z, V, XI, YI, ZI)
 -- Function File: VI = interp3 (V, XI, YI, ZI)
 -- Function File: VI = interp3 (V, M)
 -- Function File: VI = interp3 (V)
 -- Function File: VI = interp3 (..., METHOD)
 -- Function File: VI = interp3 (..., METHOD, EXTRAPVAL)
     Perform 3-dimensional interpolation.  Each element of the 3-dimensional array V represents a value at a location given by the parameters X, Y, and Z.  The parameters X, X, and Z are either 3-dimensional arrays of the same size as the array V in the 'meshgrid' format or vectors.  The parameters XI, etc.  respect a similar format to X, etc., and they represent the points at which the array VI is interpolated.

     If X, Y, Z are omitted, they are assumed to be `x = 1 : size (V, 2)', `y = 1 : size (V, 1)' and `z = 1 : size (V, 3)'.  If M is specified, then the interpolation adds a point half way between each of the interpolation points.  This process is performed M times.  If only V is specified, then M is assumed to be `1'.

     Method is one of:

    'nearest'
          Return the nearest neighbor.

    'linear'
          Linear interpolation from nearest neighbors.

    'cubic'
          Cubic interpolation from four nearest neighbors (not implemented yet).

    'spline'
          Cubic spline interpolation-smooth first and second derivatives throughout the curve.

     The default method is 'linear'.

     If EXTRAP is the string 'extrap', then extrapolate values beyond the endpoints.  If EXTRAP is a number, replace values beyond the endpoints with that number.  If EXTRAP is missing, assume NA.  See also: interp1, interp2, spline, meshgrid.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 36
Perform 3-dimensional interpolation.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
isscalar
# name: <cell-element>
# type: string
# elements: 1
# length: 150
 -- Function File:  isscalar (A)
     Return 1 if A is a scalar.  Otherwise, return 0.  See also: size, rows, columns, length, isscalar, ismatrix.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 26
Return 1 if A is a scalar.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
shiftdim
# name: <cell-element>
# type: string
# elements: 1
# length: 890
 -- Function File: Y = shiftdim (X, N)
 -- Function File: [Y, NS] = shiftdim (X)
     Shifts the dimension of X by N, where N must be an integer scalar.  When N is positive, the dimensions of X are shifted to the left, with the leading dimensions circulated to the end.  If N is negative, then the dimensions of X are shifted to the right, with N leading singleton dimensions added.

     Called with a single argument, `shiftdim', removes the leading singleton dimensions, returning the number of dimensions removed in the second output argument NS.

     For example

          x = ones (1, 2, 3);
          size (shiftdim (x, -1))
               => [1, 1, 2, 3]
          size (shiftdim (x, 1))
               => [2, 3]
          [b, ns] = shiftdim (x);
               => b =  [1, 1, 1; 1, 1, 1]
               => ns = 1
     See also: reshape, permute, ipermute, circshift, squeeze.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 66
Shifts the dimension of X by N, where N must be an integer scalar.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
rat
# name: <cell-element>
# type: string
# elements: 1
# length: 463
 -- Function File: S = rat (X, TOL)
 -- Function File: [N, D] = rat (X, TOL)
     Find a rational approximation to X within the tolerance defined by TOL using a continued fraction expansion.  For example,

          rat(pi) = 3 + 1/(7 + 1/16) = 355/113
          rat(e) = 3 + 1/(-4 + 1/(2 + 1/(5 + 1/(-2 + 1/(-7)))))
                 = 1457/536

     Called with two arguments returns the numerator and denominator separately as two matrices.
   See also: rats.  
# name: <cell-element>
# type: string
# elements: 1
# length: 108
Find a rational approximation to X within the tolerance defined by TOL using a continued fraction expansion.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
isdefinite
# name: <cell-element>
# type: string
# elements: 1
# length: 302
 -- Function File:  isdefinite (X, TOL)
     Return 1 if X is symmetric positive definite within the tolerance specified by TOL or 0 if X is symmetric positive semidefinite.  Otherwise, return -1.  If TOL is omitted, use a tolerance equal to 100 times the machine precision.  See also: issymmetric.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 128
Return 1 if X is symmetric positive definite within the tolerance specified by TOL or 0 if X is symmetric positive semidefinite.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
nthroot
# name: <cell-element>
# type: string
# elements: 1
# length: 234
 -- Function File:  nthroot (X, N)
     Compute the n-th root of X, returning real results for real components of X.  For example

          nthroot (-1, 3)
          => -1
          (-1) ^ (1 / 3)
          => 0.50000 - 0.86603i

   
# name: <cell-element>
# type: string
# elements: 1
# length: 76
Compute the n-th root of X, returning real results for real components of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
flipud
# name: <cell-element>
# type: string
# elements: 1
# length: 394
 -- Function File:  flipud (X)
     Return a copy of X with the order of the rows reversed.  For example,

          flipud ([1, 2; 3, 4])
               =>  3  4
                   1  2

     Due to the difficulty of defining which axis about which to flip the matrix `flipud' only work with 2-d arrays.  To flip N-d arrays use `flipdim' instead.  See also: fliplr, flipdim, rot90, rotdim.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 55
Return a copy of X with the order of the rows reversed.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
postpad
# name: <cell-element>
# type: string
# elements: 1
# length: 115
 -- Function File:  postpad (X, L, C)
 -- Function File:  postpad (X, L, C, DIM)
     See also: prepad, resize.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 25
See also: prepad, resize.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
nextpow2
# name: <cell-element>
# type: string
# elements: 1
# length: 191
 -- Function File:  nextpow2 (X)
     If X is a scalar, return the first integer N such that 2^n >= abs (x).

     If X is a vector, return `nextpow2 (length (X))'.  See also: pow2, log2.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 70
If X is a scalar, return the first integer N such that 2^n >= abs (x).

# name: <cell-element>
# type: string
# elements: 1
# length: 10
accumarray
# name: <cell-element>
# type: string
# elements: 1
# length: 1419
 -- Function File:  accumarray (SUBS, VALS, SZ, FUNC, FILLVAL, ISSPARSE)
 -- Function File:  accumarray (CSUBS, VALS, ...)
     Create an array by accumulating the elements of a vector into the positions defined by their subscripts.  The subscripts are defined by the rows of the matrix SUBS and the values by VALS.  Each row of SUBS corresponds to one of the values in VALS.

     The size of the matrix will be determined by the subscripts themselves.  However, if SZ is defined it determines the matrix size.  The length of SZ must correspond to the number of columns in SUBS.

     The default action of `accumarray' is to sum the elements with the same subscripts.  This behavior can be modified by defining the FUNC function.  This should be a function or function handle that accepts a column vector and returns a scalar.  The result of the function should not depend on the order of the subscripts.

     The elements of the returned array that have no subscripts associated with them are set to zero.  Defining FILLVAL to some other value allows these values to be defined.

     By default `accumarray' returns a full matrix.  If ISSPARSE is logically true, then a sparse matrix is returned instead.

     An example of the use of `accumarray' is:

          accumarray ([1,1,1;2,1,2;2,3,2;2,1,2;2,3,2], 101:105)
          => ans(:,:,1) = [101, 0, 0; 0, 0, 0]
             ans(:,:,2) = [0, 0, 0; 206, 0, 208]

# name: <cell-element>
# type: string
# elements: 1
# length: 104
Create an array by accumulating the elements of a vector into the positions defined by their subscripts.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
colon
# name: <cell-element>
# type: string
# elements: 1
# length: 278
 -- Function File: R = colon (A, B)
 -- Function File: R = colon (A, B, C)
     Method of a class to construct a range with the `:' operator.  For example.

          a = myclass (...)
          b = myclass (...)
          c = a : b

     See also: class, subsref, subsasgn.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 61
Method of a class to construct a range with the `:' operator.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
display
# name: <cell-element>
# type: string
# elements: 1
# length: 317
 -- Function File:  display (A)
     Display the contents of an object.  If A is an object of the class "myclass", then `display' is called in a case like

          myclass (...)

     where Octave is required to display the contents of a variable of the type "myclass".

     See also: class, subsref, subsasgn.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 34
Display the contents of an object.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
rotdim
# name: <cell-element>
# type: string
# elements: 1
# length: 964
 -- Function File:  rotdim (X, N, PLANE)
     Return a copy of X with the elements rotated counterclockwise in 90-degree increments.  The second argument is optional, and specifies how many 90-degree rotations are to be applied (the default value is 1).  The third argument is also optional and defines the plane of the rotation.  As such PLANE is a two element vector containing two different valid dimensions of the matrix.  If PLANE is not given Then the first two non-singleton dimensions are used.

     Negative values of N rotate the matrix in a clockwise direction.  For example,

          rotdim ([1, 2; 3, 4], -1, [1, 2])
               =>  3  1
                   4  2

     rotates the given matrix clockwise by 90 degrees.  The following are all equivalent statements:

          rotdim ([1, 2; 3, 4], -1, [1, 2])
          rotdim ([1, 2; 3, 4], 3, [1, 2])
          rotdim ([1, 2; 3, 4], 7, [1, 2])
     See also: rot90, flipud, fliplr, flipdim.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 86
Return a copy of X with the elements rotated counterclockwise in 90-degree increments.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
issquare
# name: <cell-element>
# type: string
# elements: 1
# length: 190
 -- Function File:  issquare (X)
     If X is a square matrix, then return the dimension of X.  Otherwise, return 0.  See also: size, rows, columns, length, ismatrix, isscalar, isvector.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 56
If X is a square matrix, then return the dimension of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
logical
# name: <cell-element>
# type: string
# elements: 1
# length: 167
 -- Function File:  logical (ARG)
     Convert ARG to a logical value.  For example,

          logical ([-1, 0, 1])

     is equivalent to

          [-1, 0, 1] != 0

# name: <cell-element>
# type: string
# elements: 1
# length: 31
Convert ARG to a logical value.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
bitset
# name: <cell-element>
# type: string
# elements: 1
# length: 337
 -- Function File: X = bitset (A, N)
 -- Function File: X = bitset (A, N, V)
     Set or reset bit(s) N of unsigned integers in A.  V = 0 resets and V = 1 sets the bits.  The lowest significant bit is: N = 1

          dec2bin (bitset (10, 1))
          => 1011
     See also: bitand, bitor, bitxor, bitget, bitcmp, bitshift, bitmax.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 48
Set or reset bit(s) N of unsigned integers in A.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
arrayfun
# name: <cell-element>
# type: string
# elements: 1
# length: 3319
 -- Function File:  arrayfun (FUNC, A)
 -- Function File: X = arrayfun (FUNC, A)
 -- Function File: X = arrayfun (FUNC, A, B, ...)
 -- Function File: [X, Y, ...] = arrayfun (FUNC, A, ...)
 -- Function File:  arrayfun (..., "UniformOutput", VAL)
 -- Function File:  arrayfun (..., "ErrorHandler", ERRFUNC)
     Execute a function on each element of an array.  This is useful for functions that do not accept array arguments.  If the function does accept array arguments it is better to call the function directly.

     The first input argument FUNC can be a string, a function handle, an inline function or an anonymous function.  The input argument A can be a logic array, a numeric array, a string array, a structure array or a cell array.  By a call of the function `arrayfun' all elements of A are passed on to the named function FUNC individually.

     The named function can also take more than two input arguments, with the input arguments given as third input argument B, fourth input argument C, ...  If given more than one array input argument then all input arguments must have the same sizes, for example

          arrayfun (@atan2, [1, 0], [0, 1])
          => ans = [1.5708   0.0000]

     If the parameter VAL after a further string input argument "UniformOutput" is set `true' (the default), then the named function FUNC must return a single element which then will be concatenated into the return value and is of type matrix.  Otherwise, if that parameter is set to `false', then the outputs are concatenated in a cell array.  For example

          arrayfun (@(x,y) x:y, "abc", "def", "UniformOutput", false)
          => ans =
          {
            [1,1] = abcd
            [1,2] = bcde
            [1,3] = cdef
          }

     If more than one output arguments are given then the named function must return the number of return values that also are expected, for example

          [A, B, C] = arrayfun (@find, [10; 0], "UniformOutput", false)
          =>
          A =
          {
            [1,1] =  1
            [2,1] = [](0x0)
          }
          B =
          {
            [1,1] =  1
            [2,1] = [](0x0)
          }
          C =
          {
            [1,1] =  10
            [2,1] = [](0x0)
          }

     If the parameter ERRFUNC after a further string input argument "ErrorHandler" is another string, a function handle, an inline function or an anonymous function, then ERRFUNC defines a function to call in the case that FUNC generates an error.  The definition of the function must be of the form

          function [...] = errfunc (S, ...)

     where there is an additional input argument to ERRFUNC relative to FUNC, given by S.  This is a structure with the elements "identifier", "message" and "index", giving respectively the error identifier, the error message and the index of the array elements that caused the error.  The size of the output argument of ERRFUNC must have the same size as the output argument of FUNC, otherwise a real error is thrown.  For example

          function y = ferr (s, x), y = "MyString"; endfunction
          arrayfun (@str2num, [1234], \
                    "UniformOutput", false, "ErrorHandler", @ferr)
          => ans =
          {
           [1,1] = MyString
          }

     See also: cellfun, spfun, structfun.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 47
Execute a function on each element of an array.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
nargchk
# name: <cell-element>
# type: string
# elements: 1
# length: 498
 -- Function File: MSGSTR = nargchk (MINARGS, MAXARGS, NARGS)
 -- Function File: MSGSTR = nargchk (MINARGS, MAXARGS, NARGS, "string")
 -- Function File: MSGSTRUCT = nargchk (MINARGS, MAXARGS, NARGS, "struct")
     Return an appropriate error message string (or structure) if the number of inputs requested is invalid.

     This is useful for checking to see that the number of input arguments supplied to a function is within an acceptable range.  See also: nargoutchk, error, nargin, nargout.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 103
Return an appropriate error message string (or structure) if the number of inputs requested is invalid.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
int2str
# name: <cell-element>
# type: string
# elements: 1
# length: 698
 -- Function File:  int2str (N)
     Convert an integer (or array of integers) to a string (or a character array).


          int2str (123)
               => "123"

          s = int2str ([1, 2, 3; 4, 5, 6])
               => s =
                  1  2  3
                  4  5  6

          whos s
               => s =
                Attr Name        Size                     Bytes  Class
                ==== ====        ====                     =====  =====
                     s           2x7                         14  char

     This function is not very flexible.  For better control over the results, use `sprintf' (*note Formatted Output::).  See also: sprintf, num2str, mat2str.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 77
Convert an integer (or array of integers) to a string (or a character array).

# name: <cell-element>
# type: string
# elements: 1
# length: 3
mod
# name: <cell-element>
# type: string
# elements: 1
# length: 496
 -- Mapping Function:  mod (X, Y)
     Compute the modulo of X and Y.  Conceptually this is given by

          x - y .* floor (x ./ y)

     and is written such that the correct modulus is returned for integer types.  This function handles negative values correctly.  That is, `mod (-1, 3)' is 2, not -1, as `rem (-1, 3)' returns.  `mod (X, 0)' returns X.

     An error results if the dimensions of the arguments do not agree, or if either of the arguments is complex.  See also: rem, fmod.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 30
Compute the modulo of X and Y.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
rot90
# name: <cell-element>
# type: string
# elements: 1
# length: 823
 -- Function File:  rot90 (X, N)
     Return a copy of X with the elements rotated counterclockwise in 90-degree increments.  The second argument is optional, and specifies how many 90-degree rotations are to be applied (the default value is 1).  Negative values of N rotate the matrix in a clockwise direction.  For example,

          rot90 ([1, 2; 3, 4], -1)
               =>  3  1
                   4  2

     rotates the given matrix clockwise by 90 degrees.  The following are all equivalent statements:

          rot90 ([1, 2; 3, 4], -1)
          rot90 ([1, 2; 3, 4], 3)
          rot90 ([1, 2; 3, 4], 7)

     Due to the difficulty of defining an axis about which to rotate the matrix `rot90' only work with 2-D arrays.  To rotate N-d arrays use `rotdim' instead.  See also: rotdim, flipud, fliplr, flipdim.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 86
Return a copy of X with the elements rotated counterclockwise in 90-degree increments.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
quadl
# name: <cell-element>
# type: string
# elements: 1
# length: 1059
 -- Function File: Q = quadl (F, A, B)
 -- Function File: Q = quadl (F, A, B, TOL)
 -- Function File: Q = quadl (F, A, B, TOL, TRACE)
 -- Function File: Q = quadl (F, A, B, TOL, TRACE, P1, P2, ...)
     Numerically evaluate integral using adaptive Lobatto rule.  `quadl (F, A, B)' approximates the integral of `F(X)' to machine precision.  F is either a function handle, inline function or string containing the name of the function to evaluate.  The function F must return a vector of output values if given a vector of input values.

     If defined, TOL defines the relative tolerance to which to which to integrate `F(X)'.  While if TRACE is defined, displays the left end point of the current interval, the interval length, and the partial integral.

     Additional arguments P1, etc., are passed directly to F.  To use default values for TOL and TRACE, one may pass empty matrices.

     Reference: W. Gander and W. Gautschi, 'Adaptive Quadrature - Revisited', BIT Vol. 40, No. 1, March 2000, pp. 84-101.  `http://www.inf.ethz.ch/personal/gander/'

   
# name: <cell-element>
# type: string
# elements: 1
# length: 58
Numerically evaluate integral using adaptive Lobatto rule.

# name: <cell-element>
# type: string
# elements: 1
# length: 20
isequalwithequalnans
# name: <cell-element>
# type: string
# elements: 1
# length: 150
 -- Function File:  isequalwithequalnans (X1, X2, ...)
     Assuming NaN == NaN, return true if all of X1, X2, ...  are equal.  See also: isequal.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 52
Assuming NaN == NaN, return true if all of X1, X2, .

# name: <cell-element>
# type: string
# elements: 1
# length: 7
interp1
# name: <cell-element>
# type: string
# elements: 1
# length: 2078
 -- Function File: YI = interp1 (X, Y, XI)
 -- Function File: YI = interp1 (..., METHOD)
 -- Function File: YI = interp1 (..., EXTRAP)
 -- Function File: PP = interp1 (..., 'pp')
     One-dimensional interpolation.  Interpolate Y, defined at the points X, at the points XI.  The sample points X must be strictly monotonic.  If Y is an array, treat the columns of Y separately.

     Method is one of:

    'nearest'
          Return the nearest neighbor.

    'linear'
          Linear interpolation from nearest neighbors

    'pchip'
          Piece-wise cubic hermite interpolating polynomial

    'cubic'
          Cubic interpolation from four nearest neighbors

    'spline'
          Cubic spline interpolation-smooth first and second derivatives throughout the curve

     Appending '*' to the start of the above method forces `interp1' to assume that X is uniformly spaced, and only `X (1)' and `X (2)' are referenced.  This is usually faster, and is never slower.  The default method is 'linear'.

     If EXTRAP is the string 'extrap', then extrapolate values beyond the endpoints.  If EXTRAP is a number, replace values beyond the endpoints with that number.  If EXTRAP is missing, assume NA.

     If the string argument 'pp' is specified, then XI should not be supplied and `interp1' returns the piece-wise polynomial that can later be used with `ppval' to evaluate the interpolation.  There is an equivalence, such that `ppval (interp1 (X, Y, METHOD, 'pp'), XI) == interp1 (X, Y, XI, METHOD, 'extrap')'.

     An example of the use of `interp1' is

          xf = [0:0.05:10];
          yf = sin (2*pi*xf/5);
          xp = [0:10];
          yp = sin (2*pi*xp/5);
          lin = interp1 (xp, yp, xf);
          spl = interp1 (xp, yp, xf, "spline");
          cub = interp1 (xp, yp, xf, "cubic");
          near = interp1 (xp, yp, xf, "nearest");
          plot (xf, yf, "r", xf, lin, "g", xf, spl, "b",
                xf, cub, "c", xf, near, "m", xp, yp, "r*");
          legend ("original", "linear", "spline", "cubic", "nearest")

     See also: interpft.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 30
One-dimensional interpolation.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
cplxpair
# name: <cell-element>
# type: string
# elements: 1
# length: 920
 -- Function File:  cplxpair (Z)
 -- Function File:  cplxpair (Z, TOL)
 -- Function File:  cplxpair (Z, TOL, DIM)
     Sort the numbers Z into complex conjugate pairs ordered by increasing real part.  Place the negative imaginary complex number first within each pair.  Place all the real numbers (those with `abs (imag (Z) / Z) < TOL)') after the complex pairs.

     If TOL is unspecified the default value is 100*`eps'.

     By default the complex pairs are sorted along the first non-singleton dimension of Z.  If DIM is specified, then the complex pairs are sorted along this dimension.

     Signal an error if some complex numbers could not be paired.  Signal an error if all complex numbers are not exact conjugates (to within TOL).  Note that there is no defined order for pairs with identical real parts but differing imaginary parts.

          cplxpair (exp(2i*pi*[0:4]'/5)) == exp(2i*pi*[3; 2; 4; 1; 0]/5)

# name: <cell-element>
# type: string
# elements: 1
# length: 80
Sort the numbers Z into complex conjugate pairs ordered by increasing real part.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
genvarname
# name: <cell-element>
# type: string
# elements: 1
# length: 2030
 -- Function File: VARNAME = genvarname (STR)
 -- Function File: VARNAME = genvarname (STR, EXCLUSIONS)
     Create unique variable(s) from STR.  If EXCLUSIONS is given, then the variable(s) will be unique to each other and to EXCLUSIONS (EXCLUSIONS may be either a string or a cellstr).

     If STR is a cellstr, then a unique variable is created for each cell in STR.

          x = 3.141;
          genvarname ("x", who ())
          => x1

     If WANTED is a cell array, genvarname will make sure the returned strings are distinct:

          genvarname ({"foo", "foo"})
          =>
          {
            [1,1] = foo
            [1,2] = foo1
          }

     Note that the result is a char array/cell array of strings, not the variables themselves.  To define a variable, `eval()' can be used.  The following trivial example sets `x' to `42'.

          name = genvarname ("x");
          eval([name " = 42"]);
          => x =  42

     Also, this can be useful for creating unique struct field names.

          x = struct ();
          for i = 1:3
            x.(genvarname ("a", fieldnames (x))) = i;
          endfor
          =>
          x =
          {
            a =  1
            a1 =  2
            a2 =  3
          }

     Since variable names may only contain letters, digits and underscores, genvarname replaces any sequence of disallowed characters with an underscore.  Also, variables may not begin with a digit; in this case an underscore is added before the variable name.

     Variable names beginning and ending with two underscores "__" are valid but they are used internally by octave and should generally be avoided, therefore genvarname will not generate such names.

     genvarname will also make sure that returned names do not clash with keywords such as "for" and "if".  A number will be appended if necessary.  Note, however, that this does *not* include function names, such as "sin".  Such names should be included in AVOID if necessary.  See also: isvarname, exist, tmpnam, eval.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 35
Create unique variable(s) from STR.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
fractdiff
# name: <cell-element>
# type: string
# elements: 1
# length: 149
 -- Function File:  fractdiff (X, D)
     Compute the fractional differences (1-L)^d x where L denotes the lag-operator and d is greater than -1.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 103
Compute the fractional differences (1-L)^d x where L denotes the lag-operator and d is greater than -1.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
hanning
# name: <cell-element>
# type: string
# elements: 1
# length: 226
 -- Function File:  hanning (M)
     Return the filter coefficients of a Hanning window of length M.

     For a definition of this window type, see e.g., A. V. Oppenheim & R. W. Schafer, `Discrete-Time Signal Processing'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 63
Return the filter coefficients of a Hanning window of length M.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
fftshift
# name: <cell-element>
# type: string
# elements: 1
# length: 640
 -- Function File:  fftshift (V)
 -- Function File:  fftshift (V, DIM)
     Perform a shift of the vector V, for use with the `fft' and `ifft' functions, in order the move the frequency 0 to the center of the vector or matrix.

     If V is a vector of N elements corresponding to N time samples spaced of Dt each, then `fftshift (fft (V))' corresponds to frequencies

          f = ((1:N) - ceil(N/2)) / N / Dt

     If V is a matrix, the same holds for rows and columns.  If V is an array, then the same holds along each dimension.

     The optional DIM argument can be used to limit the dimension along which the permutation occurs.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 150
Perform a shift of the vector V, for use with the `fft' and `ifft' functions, in order the move the frequency 0 to the center of the vector or matrix.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
freqz_plot
# name: <cell-element>
# type: string
# elements: 1
# length: 101
 -- Function File:  freqz_plot (W, H)
     Plot the pass band, stop band and phase response of H.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 54
Plot the pass band, stop band and phase response of H.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
sinewave
# name: <cell-element>
# type: string
# elements: 1
# length: 200
 -- Function File:  sinewave (M, N, D)
     Return an M-element vector with I-th element given by `sin (2 * pi * (I+D-1) / N)'.

     The default value for D is 0 and the default value for N is M.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 83
Return an M-element vector with I-th element given by `sin (2 * pi * (I+D-1) / N)'.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
autocov
# name: <cell-element>
# type: string
# elements: 1
# length: 219
 -- Function File:  autocov (X, H)
     Return the autocovariances from lag 0 to H of vector X.  If H is omitted, all autocovariances are computed.  If X is a matrix, the autocovariances of each column are computed.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 55
Return the autocovariances from lag 0 to H of vector X.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
freqz
# name: <cell-element>
# type: string
# elements: 1
# length: 1191
 -- Function File: [H, W] = freqz (B, A, N, "whole")
     Return the complex frequency response H of the rational IIR filter whose numerator and denominator coefficients are B and A, respectively.  The response is evaluated at N angular frequencies between 0 and  2*pi.

     The output value W is a vector of the frequencies.

     If the fourth argument is omitted, the response is evaluated at frequencies between 0 and  pi.

     If N is omitted, a value of 512 is assumed.

     If A is omitted, the denominator is assumed to be 1 (this corresponds to a simple FIR filter).

     For fastest computation, N should factor into a small number of small primes.

 -- Function File: H = freqz (B, A, W)
     Evaluate the response at the specific frequencies in the vector W.  The values for W are measured in radians.

 -- Function File: [...] = freqz (..., FS)
     Return frequencies in Hz instead of radians assuming a sampling rate FS.  If you are evaluating the response at specific frequencies W, those frequencies should be requested in Hz rather than radians.

 -- Function File:  freqz (...)
     Plot the pass band, stop band and phase response of H rather than returning them.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 81
Plot the pass band, stop band and phase response of H rather than returning them.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
periodogram
# name: <cell-element>
# type: string
# elements: 1
# length: 113
 -- Function File:  periodogram (X)
     For a data matrix X from a sample of size N, return the periodogram.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 68
For a data matrix X from a sample of size N, return the periodogram.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
arch_rnd
# name: <cell-element>
# type: string
# elements: 1
# length: 373
 -- Function File:  arch_rnd (A, B, T)
     Simulate an ARCH sequence of length T with AR coefficients B and CH coefficients A.  I.e., the result y(t) follows the model

          y(t) = b(1) + b(2) * y(t-1) + ... + b(lb) * y(t-lb+1) + e(t),

     where e(t), given Y up to time t-1, is N(0, h(t)), with

          h(t) = a(1) + a(2) * e(t-1)^2 + ... + a(la) * e(t-la+1)^2

# name: <cell-element>
# type: string
# elements: 1
# length: 83
Simulate an ARCH sequence of length T with AR coefficients B and CH coefficients A.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
sinetone
# name: <cell-element>
# type: string
# elements: 1
# length: 286
 -- Function File:  sinetone (FREQ, RATE, SEC, AMPL)
     Return a sinetone of frequency FREQ with length of SEC seconds at sampling rate RATE and with amplitude AMPL.  The arguments FREQ and AMPL may be vectors of common size.

     Defaults are RATE = 8000, SEC = 1 and AMPL = 64.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 109
Return a sinetone of frequency FREQ with length of SEC seconds at sampling rate RATE and with amplitude AMPL.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
triangle_sw
# name: <cell-element>
# type: string
# elements: 1
# length: 126
 -- Function File:  triangle_sw (N, B)
     Triangular spectral window.  Subfunction used for spectral density estimation.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 27
Triangular spectral window.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
hamming
# name: <cell-element>
# type: string
# elements: 1
# length: 228
 -- Function File:  hamming (M)
     Return the filter coefficients of a Hamming window of length M.

     For a definition of the Hamming window, see e.g., A. V. Oppenheim & R. W. Schafer, `Discrete-Time Signal Processing'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 63
Return the filter coefficients of a Hamming window of length M.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
diffpara
# name: <cell-element>
# type: string
# elements: 1
# length: 703
 -- Function File: [D, DD] = diffpara (X, A, B)
     Return the estimator D for the differencing parameter of an integrated time series.

     The frequencies from [2*pi*a/t, 2*pi*b/T] are used for the estimation.  If B is omitted, the interval [2*pi/T, 2*pi*a/T] is used.  If both B and A are omitted then a = 0.5 * sqrt (T) and b = 1.5 * sqrt (T) is used, where T is the sample size.  If X is a matrix, the differencing parameter of each column is estimated.

     The estimators for all frequencies in the intervals described above is returned in DD.  The value of D is simply the mean of DD.

     Reference: Brockwell, Peter J. & Davis, Richard A. Time Series: Theory and Methods Springer 1987.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 83
Return the estimator D for the differencing parameter of an integrated time series.

# name: <cell-element>
# type: string
# elements: 1
# length: 12
rectangle_lw
# name: <cell-element>
# type: string
# elements: 1
# length: 123
 -- Function File:  rectangle_lw (N, B)
     Rectangular lag window.  Subfunction used for spectral density estimation.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 23
Rectangular lag window.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
blackman
# name: <cell-element>
# type: string
# elements: 1
# length: 231
 -- Function File:  blackman (M)
     Return the filter coefficients of a Blackman window of length M.

     For a definition of the Blackman window, see e.g., A. V. Oppenheim & R. W. Schafer, `Discrete-Time Signal Processing'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 64
Return the filter coefficients of a Blackman window of length M.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
detrend
# name: <cell-element>
# type: string
# elements: 1
# length: 355
 -- Function File:  detrend (X, P)
     If X is a vector, `detrend (X, P)' removes the best fit of a polynomial of order P from the data X.

     If X is a matrix, `detrend (X, P)' does the same for each column in X.

     The second argument is optional.  If it is not specified, a value of 1 is assumed.  This corresponds to removing a linear trend.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 99
If X is a vector, `detrend (X, P)' removes the best fit of a polynomial of order P from the data X.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
stft
# name: <cell-element>
# type: string
# elements: 1
# length: 954
 -- Function File: [Y, C] = stft (X, WIN_SIZE, INC, NUM_COEF, W_TYPE)
     Compute the short-time Fourier transform of the vector X with NUM_COEF coefficients by applying a window of WIN_SIZE data points and an increment of INC points.

     Before computing the Fourier transform, one of the following windows is applied:

    hanning
          w_type = 1

    hamming
          w_type = 2

    rectangle
          w_type = 3

     The window names can be passed as strings or by the W_TYPE number.

     If not all arguments are specified, the following defaults are used: WIN_SIZE = 80, INC = 24, NUM_COEF = 64, and W_TYPE = 1.

     `Y = stft (X, ...)' returns the absolute values of the Fourier coefficients according to the NUM_COEF positive frequencies.

     `[Y, C] = stft (`x', ...)' returns the entire STFT-matrix Y and a 3-element vector C containing the window size, increment, and window type, which is needed by the synthesis function.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 160
Compute the short-time Fourier transform of the vector X with NUM_COEF coefficients by applying a window of WIN_SIZE data points and an increment of INC points.

# name: <cell-element>
# type: string
# elements: 1
# length: 12
spectral_adf
# name: <cell-element>
# type: string
# elements: 1
# length: 377
 -- Function File:  spectral_adf (C, WIN, B)
     Return the spectral density estimator given a vector of autocovariances C, window name WIN, and bandwidth, B.

     The window name, e.g., `"triangle"' or `"rectangle"' is used to search for a function called `WIN_sw'.

     If WIN is omitted, the triangle window is used.  If B is omitted, `1 / sqrt (length (X))' is used.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 109
Return the spectral density estimator given a vector of autocovariances C, window name WIN, and bandwidth, B.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
filter2
# name: <cell-element>
# type: string
# elements: 1
# length: 539
 -- Function File: Y = filter2 (B, X)
 -- Function File: Y = filter2 (B, X, SHAPE)
     Apply the 2-D FIR filter B to X.  If the argument SHAPE is specified, return an array of the desired shape.  Possible values are:

    'full'
          pad X with zeros on all sides before filtering.

    'same'
          unpadded X (default)

    'valid'
          trim X after filtering so edge effects are no included.

     Note this is just a variation on convolution, with the parameters reversed and B rotated 180 degrees.  See also: conv2.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 32
Apply the 2-D FIR filter B to X.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
fftfilt
# name: <cell-element>
# type: string
# elements: 1
# length: 304
 -- Function File:  fftfilt (B, X, N)
     With two arguments, `fftfilt' filters X with the FIR filter B using the FFT.

     Given the optional third argument, N, `fftfilt' uses the overlap-add method to filter X with B using an N-point FFT.

     If X is a matrix, filter each column of the matrix.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 76
With two arguments, `fftfilt' filters X with the FIR filter B using the FFT.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
fftconv
# name: <cell-element>
# type: string
# elements: 1
# length: 429
 -- Function File:  fftconv (A, B, N)
     Return the convolution of the vectors A and B, as a vector with length equal to the `length (a) + length (b) - 1'.  If A and B are the coefficient vectors of two polynomials, the returned value is the coefficient vector of the product polynomial.

     The computation uses the FFT by calling the function `fftfilt'.  If the optional argument N is specified, an N-point FFT is used.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 114
Return the convolution of the vectors A and B, as a vector with length equal to the `length (a) + length (b) - 1'.

# name: <cell-element>
# type: string
# elements: 1
# length: 11
triangle_lw
# name: <cell-element>
# type: string
# elements: 1
# length: 121
 -- Function File:  triangle_lw (N, B)
     Triangular lag window.  Subfunction used for spectral density estimation.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 22
Triangular lag window.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
ifftshift
# name: <cell-element>
# type: string
# elements: 1
# length: 209
 -- Function File:  ifftshift (V)
 -- Function File:  ifftshift (V, DIM)
     Undo the action of the `fftshift' function.  For even length V, `fftshift' is its own inverse, but odd lengths differ slightly.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 43
Undo the action of the `fftshift' function.

# name: <cell-element>
# type: string
# elements: 1
# length: 14
durbinlevinson
# name: <cell-element>
# type: string
# elements: 1
# length: 390
 -- Function File:  durbinlevinson (C, OLDPHI, OLDV)
     Perform one step of the Durbin-Levinson algorithm.

     The vector C specifies the autocovariances `[gamma_0, ..., gamma_t]' from lag 0 to T, OLDPHI specifies the coefficients based on C(T-1) and OLDV specifies the corresponding error.

     If OLDPHI and OLDV are omitted, all steps from 1 to T of the algorithm are performed.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 50
Perform one step of the Durbin-Levinson algorithm.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
unwrap
# name: <cell-element>
# type: string
# elements: 1
# length: 347
 -- Function File: B = unwrap (A, TOL, DIM)
     Unwrap radian phases by adding multiples of 2*pi as appropriate to remove jumps greater than TOL.  TOL defaults to pi.

     Unwrap will unwrap along the first non-singleton dimension of A, unless the optional argument DIM is given, in which case the data will be unwrapped along this dimension
   
# name: <cell-element>
# type: string
# elements: 1
# length: 97
Unwrap radian phases by adding multiples of 2*pi as appropriate to remove jumps greater than TOL.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
arch_fit
# name: <cell-element>
# type: string
# elements: 1
# length: 859
 -- Function File: [A, B] = arch_fit (Y, X, P, ITER, GAMMA, A0, B0)
     Fit an ARCH regression model to the time series Y using the scoring algorithm in Engle's original ARCH paper.  The model is

          y(t) = b(1) * x(t,1) + ... + b(k) * x(t,k) + e(t),
          h(t) = a(1) + a(2) * e(t-1)^2 + ... + a(p+1) * e(t-p)^2

     in which e(t) is N(0, h(t)), given a time-series vector Y up to time t-1 and a matrix of (ordinary) regressors X up to t.  The order of the regression of the residual variance is specified by P.

     If invoked as `arch_fit (Y, K, P)' with a positive integer K, fit an ARCH(K, P) process, i.e., do the above with the t-th row of X given by

          [1, y(t-1), ..., y(t-k)]

     Optionally, one can specify the number of iterations ITER, the updating factor GAMMA, and initial values a0 and b0 for the scoring algorithm.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 109
Fit an ARCH regression model to the time series Y using the scoring algorithm in Engle's original ARCH paper.

# name: <cell-element>
# type: string
# elements: 1
# length: 12
spectral_xdf
# name: <cell-element>
# type: string
# elements: 1
# length: 363
 -- Function File:  spectral_xdf (X, WIN, B)
     Return the spectral density estimator given a data vector X, window name WIN, and bandwidth, B.

     The window name, e.g., `"triangle"' or `"rectangle"' is used to search for a function called `WIN_sw'.

     If WIN is omitted, the triangle window is used.  If B is omitted, `1 / sqrt (length (X))' is used.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 95
Return the spectral density estimator given a data vector X, window name WIN, and bandwidth, B.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
synthesis
# name: <cell-element>
# type: string
# elements: 1
# length: 254
 -- Function File:  synthesis (Y, C)
     Compute a signal from its short-time Fourier transform Y and a 3-element vector C specifying window size, increment, and window type.

     The values Y and C can be derived by

          [Y, C] = stft (X , ...)

# name: <cell-element>
# type: string
# elements: 1
# length: 133
Compute a signal from its short-time Fourier transform Y and a 3-element vector C specifying window size, increment, and window type.

# name: <cell-element>
# type: string
# elements: 1
# length: 12
rectangle_sw
# name: <cell-element>
# type: string
# elements: 1
# length: 128
 -- Function File:  rectangle_sw (N, B)
     Rectangular spectral window.  Subfunction used for spectral density estimation.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 28
Rectangular spectral window.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
yulewalker
# name: <cell-element>
# type: string
# elements: 1
# length: 235
 -- Function File: [A, V] = yulewalker (C)
     Fit an AR (p)-model with Yule-Walker estimates given a vector C of autocovariances `[gamma_0, ..., gamma_p]'.

     Returns the AR coefficients, A, and the variance of white noise, V.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 95
Fit an AR (p)-model with Yule-Walker estimates given a vector C of autocovariances `[gamma_0, .

# name: <cell-element>
# type: string
# elements: 1
# length: 9
arch_test
# name: <cell-element>
# type: string
# elements: 1
# length: 949
 -- Function File: [PVAL, LM] = arch_test (Y, X, P)
     For a linear regression model

          y = x * b + e

     perform a Lagrange Multiplier (LM) test of the null hypothesis of no conditional heteroscedascity against the alternative of CH(P).

     I.e., the model is

          y(t) = b(1) * x(t,1) + ... + b(k) * x(t,k) + e(t),

     given Y up to t-1 and X up to t, e(t) is N(0, h(t)) with

          h(t) = v + a(1) * e(t-1)^2 + ... + a(p) * e(t-p)^2,

     and the null is a(1) == ... == a(p) == 0.

     If the second argument is a scalar integer, k, perform the same test in a linear autoregression model of order k, i.e., with

          [1, y(t-1), ..., y(t-K)]

     as the t-th row of X.

     Under the null, LM approximately has a chisquare distribution with P degrees of freedom and PVAL is the p-value (1 minus the CDF of this distribution at LM) of the test.

     If no output argument is given, the p-value is displayed.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 30
For a linear regression model 

# name: <cell-element>
# type: string
# elements: 1
# length: 8
arma_rnd
# name: <cell-element>
# type: string
# elements: 1
# length: 562
 -- Function File:  arma_rnd (A, B, V, T, N)
     Return a simulation of the ARMA model

          x(n) = a(1) * x(n-1) + ... + a(k) * x(n-k)
               + e(n) + b(1) * e(n-1) + ... + b(l) * e(n-l)

     in which K is the length of vector A, L is the length of vector B and E is Gaussian white noise with variance V.  The function returns a vector of length T.

     The optional parameter N gives the number of dummy X(I) used for initialization, i.e., a sequence of length T+N is generated and X(N+1:T+N) is returned.  If N is omitted, N = 100 is used.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 38
Return a simulation of the ARMA model 

# name: <cell-element>
# type: string
# elements: 1
# length: 4
sinc
# name: <cell-element>
# type: string
# elements: 1
# length: 63
 -- Function File:  sinc (X)
     Return  sin(pi*x)/(pi*x).
   
# name: <cell-element>
# type: string
# elements: 1
# length: 24
Return sin(pi*x)/(pi*x).

# name: <cell-element>
# type: string
# elements: 1
# length: 14
autoreg_matrix
# name: <cell-element>
# type: string
# elements: 1
# length: 337
 -- Function File:  autoreg_matrix (Y, K)
     Given a time series (vector) Y, return a matrix with ones in the first column and the first K lagged values of Y in the other columns.  I.e., for T > K, `[1, Y(T-1), ..., Y(T-K)]' is the t-th row of the result.  The resulting matrix may be used as a regressor matrix in autoregressions.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 134
Given a time series (vector) Y, return a matrix with ones in the first column and the first K lagged values of Y in the other columns.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
autocor
# name: <cell-element>
# type: string
# elements: 1
# length: 222
 -- Function File:  autocor (X, H)
     Return the autocorrelations from lag 0 to H of vector X.  If H is omitted, all autocorrelations are computed.  If X is a matrix, the autocorrelations of each column are computed.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 56
Return the autocorrelations from lag 0 to H of vector X.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
bartlett
# name: <cell-element>
# type: string
# elements: 1
# length: 244
 -- Function File:  bartlett (M)
     Return the filter coefficients of a Bartlett (triangular) window of length M.

     For a definition of the Bartlett window, see e.g., A. V. Oppenheim & R. W. Schafer, `Discrete-Time Signal Processing'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 77
Return the filter coefficients of a Bartlett (triangular) window of length M.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
hurst
# name: <cell-element>
# type: string
# elements: 1
# length: 184
 -- Function File:  hurst (X)
     Estimate the Hurst parameter of sample X via the rescaled range statistic.  If X is a matrix, the parameter is estimated for every single column.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 74
Estimate the Hurst parameter of sample X via the rescaled range statistic.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
spencer
# name: <cell-element>
# type: string
# elements: 1
# length: 110
 -- Function File:  spencer (X)
     Return Spencer's 15 point moving average of every single column of X.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 69
Return Spencer's 15 point moving average of every single column of X.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
conv
# name: <cell-element>
# type: string
# elements: 1
# length: 332
 -- Function File:  conv (A, B)
     Convolve two vectors.

     `y = conv (a, b)' returns a vector of length equal to `length (a) + length (b) - 1'.  If A and B are polynomial coefficient vectors, `conv' returns the coefficients of the product polynomial.  See also: deconv, poly, roots, residue, polyval, polyderiv, polyinteg.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 21
Convolve two vectors.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
roots
# name: <cell-element>
# type: string
# elements: 1
# length: 451
 -- Function File:  roots (V)
     For a vector V with N components, return the roots of the polynomial

          v(1) * z^(N-1) + ... + v(N-1) * z + v(N)

     As an example, the following code finds the roots of the quadratic polynomial
          p(x) = x^2 - 5.

          c = [1, 0, -5];
          roots(c)
          =>  2.2361
          => -2.2361
     Note that the true result is +/- sqrt(5) which is roughly +/- 2.2361.  See also: compan.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 69
For a vector V with N components, return the roots of the polynomial 

# name: <cell-element>
# type: string
# elements: 1
# length: 5
pchip
# name: <cell-element>
# type: string
# elements: 1
# length: 1061
 -- Function File: PP = pchip (X, Y)
 -- Function File: YI = pchip (X, Y, XI)
     Piecewise Cubic Hermite interpolating polynomial.  Called with two arguments, the piece-wise polynomial PP is returned, that may later be used with `ppval' to evaluate the polynomial at specific points.

     The variable X must be a strictly monotonic vector (either increasing or decreasing).  While Y can be either a vector or array.  In the case where Y is a vector, it must have a length of N.  If Y is an array, then the size of Y must have the form `[S1, S2, ..., SK, N]' The array is then reshaped internally to a matrix where the leading dimension is given by `S1 * S2 * ... * SK' and each row in this matrix is then treated separately.  Note that this is exactly the opposite treatment than `interp1' and is done for compatibility.

     Called with a third input argument, `pchip' evaluates the piece-wise polynomial at the points XI.  There is an equivalence between `ppval (pchip (X, Y), XI)' and `pchip (X, Y, XI)'.

     See also: spline, ppval, mkpp, unmkpp.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 49
Piecewise Cubic Hermite interpolating polynomial.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
polyreduce
# name: <cell-element>
# type: string
# elements: 1
# length: 244
 -- Function File:  polyreduce (C)
     Reduces a polynomial coefficient vector to a minimum number of terms by stripping off any leading zeros.  See also: poly, roots, conv, deconv, residue, filter, polyval, polyvalm, polyderiv, polyinteg.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 104
Reduces a polynomial coefficient vector to a minimum number of terms by stripping off any leading zeros.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
compan
# name: <cell-element>
# type: string
# elements: 1
# length: 914
 -- Function File:  compan (C)
     Compute the companion matrix corresponding to polynomial coefficient vector C.

     The companion matrix is

               _                                                        _
              |  -c(2)/c(1)   -c(3)/c(1)  ...  -c(N)/c(1)  -c(N+1)/c(1)  |
              |       1            0      ...       0             0      |
              |       0            1      ...       0             0      |
          A = |       .            .   .            .             .      |
              |       .            .       .        .             .      |
              |       .            .           .    .             .      |
              |_      0            0      ...       1             0     _|

     The eigenvalues of the companion matrix are equal to the roots of the polynomial.  See also: poly, roots, residue, conv, deconv, polyval, polyderiv, polyinteg.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 78
Compute the companion matrix corresponding to polynomial coefficient vector C.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
residue
# name: <cell-element>
# type: string
# elements: 1
# length: 2331
 -- Function File: [R, P, K, E] = residue (B, A)
     Compute the partial fraction expansion for the quotient of the polynomials, B and A.

           B(s)    M       r(m)         N
           ---- = SUM -------------  + SUM k(i)*s^(N-i)
           A(s)   m=1 (s-p(m))^e(m)    i=1

     where M is the number of poles (the length of the R, P, and E), the K vector is a polynomial of order N-1 representing the direct contribution, and the E vector specifies the multiplicity of the m-th residue's pole.

     For example,

          b = [1, 1, 1];
          a = [1, -5, 8, -4];
          [r, p, k, e] = residue (b, a);
               => r = [-2; 7; 3]
               => p = [2; 2; 1]
               => k = [](0x0)
               => e = [1; 2; 1]

     which represents the following partial fraction expansion

                  s^2 + s + 1       -2        7        3
             ------------------- = ----- + ------- + -----
             s^3 - 5s^2 + 8s - 4   (s-2)   (s-2)^2   (s-1)

 -- Function File: [B, A] = residue (R, P, K)
 -- Function File: [B, A] = residue (R, P, K, E)
     Compute the reconstituted quotient of polynomials, B(s)/A(s), from the partial fraction expansion; represented by the residues, poles, and a direct polynomial specified by R, P and K, and the pole multiplicity E.

     If the multiplicity, E, is not explicitly specified the multiplicity is determined by the script mpoles.m.

     For example,

          r = [-2; 7; 3];
          p = [2; 2; 1];
          k = [1, 0];
          [b, a] = residue (r, p, k);
               => b = [1, -5, 9, -3, 1]
               => a = [1, -5, 8, -4]

          where mpoles.m is used to determine e = [1; 2; 1]

     Alternatively the multiplicity may be defined explicitly, for example,

          r = [7; 3; -2];
          p = [2; 1; 2];
          k = [1, 0];
          e = [2; 1; 1];
          [b, a] = residue (r, p, k, e);
               => b = [1, -5, 9, -3, 1]
               => a = [1, -5, 8, -4]

     which represents the following partial fraction expansion

              -2        7        3         s^4 - 5s^3 + 9s^2 - 3s + 1
             ----- + ------- + ----- + s = --------------------------
             (s-2)   (s-2)^2   (s-1)          s^3 - 5s^2 + 8s - 4
     See also: poly, roots, conv, deconv, mpoles, polyval, polyderiv, polyinteg.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 212
Compute the reconstituted quotient of polynomials, B(s)/A(s), from the partial fraction expansion; represented by the residues, poles, and a direct polynomial specified by R, P and K, and the pole multiplicity E.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
polyint
# name: <cell-element>
# type: string
# elements: 1
# length: 331
 -- Function File:  polyint (C, K)
     Return the coefficients of the integral of the polynomial whose coefficients are represented by the vector C.  The variable K is the constant of integration, which by default is set to zero.  See also: poly, polyderiv, polyreduce, roots, conv, deconv, residue, filter, polyval, polyvalm.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 109
Return the coefficients of the integral of the polynomial whose coefficients are represented by the vector C.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
ppval
# name: <cell-element>
# type: string
# elements: 1
# length: 269
 -- Function File: YI = ppval (PP, XI)
     Evaluate piece-wise polynomial PP at the points XI.  If `PP.d' is a scalar greater than 1, or an array, then the returned value YI will be an array that is `d1, d1, ..., dk, length (XI)]'.  See also: mkpp, unmkpp, spline.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 51
Evaluate piece-wise polynomial PP at the points XI.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
spline
# name: <cell-element>
# type: string
# elements: 1
# length: 1285
 -- Function File: PP = spline (X, Y)
 -- Function File: YI = spline (X, Y, XI)
     Return the cubic spline interpolant of Y at points X.  If called with two arguments, `spline' returns the piece-wise polynomial PP that may later be used with `ppval' to evaluate the polynomial at specific points.  If called with a third input argument, `spline' evaluates the spline at the points XI.  There is an equivalence between `ppval (spline (X, Y), XI)' and `spline (X, Y, XI)'.

     The variable X must be a vector of length N, and Y can be either a vector or array.  In the case where Y is a vector, it can have a length of either N or `N + 2'.  If the length of Y is N, then the 'not-a-knot' end condition is used.  If the length of Y is `N + 2', then the first and last values of the vector Y are the values of the first derivative of the cubic spline at the end-points.

     If Y is an array, then the size of Y must have the form `[S1, S2, ..., SK, N]' or `[S1, S2, ..., SK, N + 2]'.  The array is then reshaped internally to a matrix where the leading dimension is given by `S1 * S2 * ... * SK' and each row of this matrix is then treated separately.  Note that this is exactly the opposite treatment than `interp1' and is done for compatibility.  See also: ppval, mkpp, unmkpp.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 53
Return the cubic spline interpolant of Y at points X.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
polyfit
# name: <cell-element>
# type: string
# elements: 1
# length: 1013
 -- Function File: [P, S, MU] = polyfit (X, Y, N)
     Return the coefficients of a polynomial P(X) of degree N that minimizes the least-squares-error of the fit.

     The polynomial coefficients are returned in a row vector.

     The second output is a structure containing the following fields:

    `R'
          Triangular factor R from the QR decomposition.

    `X'
          The Vandermonde matrix used to compute the polynomial coefficients.

    `df'
          The degrees of freedom.

    `normr'
          The norm of the residuals.

    `yf'
          The values of the polynomial for each value of X.

     The second output may be used by `polyval' to calculate the statistical error limits of the predicted values.

     When the third output, MU, is present the coefficients, P, are associated with a polynomial in XHAT = (X-MU(1))/MU(2).  Where MU(1) = mean (X), and MU(2) = std (X).  This linear transformation of X improves the numerical stability of the fit.  See also: polyval, residue.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 107
Return the coefficients of a polynomial P(X) of degree N that minimizes the least-squares-error of the fit.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
polyder
# name: <cell-element>
# type: string
# elements: 1
# length: 138
 -- Function File:  polyder (C)
 -- Function File: [Q] = polyder (B, A)
 -- Function File: [Q, R] = polyder (B, A)
     See polyderiv.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 14
See polyderiv.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
polygcd
# name: <cell-element>
# type: string
# elements: 1
# length: 717
 -- Function File: Q = polygcd (B, A, TOL)
     Find greatest common divisor of two polynomials.  This is equivalent to the polynomial found by multiplying together all the common roots.  Together with deconv, you can reduce a ratio of two polynomials.  Tolerance defaults to
          sqrt(eps).
      Note that this is an unstable algorithm, so don't try it on large polynomials.

     Example
          polygcd (poly(1:8), poly(3:12)) - poly(3:8)
          => [ 0, 0, 0, 0, 0, 0, 0 ]
          deconv (poly(1:8), polygcd (poly(1:8), poly(3:12))) ...
            - poly(1:2)
          => [ 0, 0, 0 ]
     See also: poly, polyinteg, polyderiv, polyreduce, roots, conv, deconv, residue, filter, polyval, polyvalm.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 48
Find greatest common divisor of two polynomials.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
polyderiv
# name: <cell-element>
# type: string
# elements: 1
# length: 495
 -- Function File:  polyderiv (C)
 -- Function File: [Q] = polyderiv (B, A)
 -- Function File: [Q, R] = polyderiv (B, A)
     Return the coefficients of the derivative of the polynomial whose coefficients are given by vector C.  If a pair of polynomials is given B and A, the derivative of the product is returned in Q, or the quotient numerator in Q and the quotient denominator in R.  See also: poly, polyinteg, polyreduce, roots, conv, deconv, residue, filter, polygcd, polyval, polyvalm.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 101
Return the coefficients of the derivative of the polynomial whose coefficients are given by vector C.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
deconv
# name: <cell-element>
# type: string
# elements: 1
# length: 385
 -- Function File:  deconv (Y, A)
     Deconvolve two vectors.

     `[b, r] = deconv (y, a)' solves for B and R such that `y = conv (a, b) + r'.

     If Y and A are polynomial coefficient vectors, B will contain the coefficients of the polynomial quotient and R will be a remainder polynomial of lowest order.  See also: conv, poly, roots, residue, polyval, polyderiv, polyinteg.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 23
Deconvolve two vectors.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
mkpp
# name: <cell-element>
# type: string
# elements: 1
# length: 771
 -- Function File: PP = mkpp (X, P)
 -- Function File: PP = mkpp (X, P, D)
     Construct a piece-wise polynomial structure from sample points X and coefficients P.  The i-th row of P, `P (I,:)', contains the coefficients for the polynomial over the I-th interval, ordered from highest to lowest.  There must be one row for each interval in X, so `rows (P) == length (X) - 1'.

     You can concatenate multiple polynomials of the same order over the same set of intervals using `P = [ P1; P2; ...; PD ]'.  In this case, `rows (P) == D * (length (X) - 1)'.

     D specifies the shape of the matrix P for all except the last dimension.  If D is not specified it will be computed as `round (rows (P) / (length (X) - 1))' instead.

     See also: unmkpp, ppval, spline.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 84
Construct a piece-wise polynomial structure from sample points X and coefficients P.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
mpoles
# name: <cell-element>
# type: string
# elements: 1
# length: 873
 -- Function File: [MULTP, INDX] = mpoles (P)
 -- Function File: [MULTP, INDX] = mpoles (P, TOL)
 -- Function File: [MULTP, INDX] = mpoles (P, TOL, REORDER)
     Identify unique poles in P and associates their multiplicity, ordering them from largest to smallest.

     If the relative difference of the poles is less than TOL, then they are considered to be multiples.  The default value for TOL is 0.001.

     If the optional parameter REORDER is zero, poles are not sorted.

     The value MULTP is a vector specifying the multiplicity of the poles.  MULTP(:) refers to multiplicity of P(INDX(:)).

     For example,

          p = [2 3 1 1 2];
          [m, n] = mpoles(p);
            => m = [1; 1; 2; 1; 2]
            => n = [2; 5; 1; 4; 3]
            => p(n) = [3, 2, 2, 1, 1]

     See also: poly, roots, conv, deconv, polyval, polyderiv, polyinteg, residue.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 101
Identify unique poles in P and associates their multiplicity, ordering them from largest to smallest.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
polyval
# name: <cell-element>
# type: string
# elements: 1
# length: 775
 -- Function File: Y = polyval (P, X)
 -- Function File: Y = polyval (P, X, [], MU)
     Evaluate the polynomial at of the specified values for X.  When MU is present evaluate the polynomial for (X-MU(1))/MU(2).  If X is a vector or matrix, the polynomial is evaluated for each of the elements of X.

 -- Function File: [Y, DY] = polyval (P, X, S)
 -- Function File: [Y, DY] = polyval (P, X, S, MU)
     In addition to evaluating the polynomial, the second output represents the prediction interval, Y +/- DY, which contains at least 50% of the future predictions.  To calculate the prediction interval, the structured variable S, originating form `polyfit', must be present.  See also: polyfit, polyvalm, poly, roots, conv, deconv, residue, filter, polyderiv, polyinteg.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 160
In addition to evaluating the polynomial, the second output represents the prediction interval, Y +/- DY, which contains at least 50% of the future predictions.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
convn
# name: <cell-element>
# type: string
# elements: 1
# length: 651
 -- Function File: C = convn (A, B, SHAPE)
     N-dimensional convolution of matrices A and B.

     The size of the output is determined by the SHAPE argument.  This can be any of the following character strings:

    "full"
          The full convolution result is returned.  The size out of the output is `size (A) + size (B)-1'.  This is the default behavior.

    "same"
          The central part of the convolution result is returned.  The size out of the output is the same as A.

    "valid"
          The valid part of the convolution is returned.  The size of the result is `max (size (A) - size (B)+1, 0)'.

     See also: conv, conv2.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 46
N-dimensional convolution of matrices A and B.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
polyvalm
# name: <cell-element>
# type: string
# elements: 1
# length: 397
 -- Function File:  polyvalm (C, X)
     Evaluate a polynomial in the matrix sense.

     `polyvalm (C, X)' will evaluate the polynomial in the matrix sense, i.e., matrix multiplication is used instead of element by element multiplication as is used in polyval.

     The argument X must be a square matrix.  See also: polyval, poly, roots, conv, deconv, residue, filter, polyderiv, polyinteg.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 42
Evaluate a polynomial in the matrix sense.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
polyout
# name: <cell-element>
# type: string
# elements: 1
# length: 334
 -- Function File:  polyout (C, X)
     Write formatted polynomial
             c(x) = c(1) * x^n + ... + c(n) x + c(n+1)
      and return it as a string or write it to the screen (if NARGOUT is zero).  X defaults to the string `"s"'.  See also: polyval, polyvalm, poly, roots, conv, deconv, residue, filter, polyderiv, polyinteg.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 49
Write formatted polynomial  c(x) = c(1) * x^n + .

# name: <cell-element>
# type: string
# elements: 1
# length: 6
unmkpp
# name: <cell-element>
# type: string
# elements: 1
# length: 821
 -- Function File: [X, P, N, K, D] = unmkpp (PP)
     Extract the components of a piece-wise polynomial structure PP.  These are as follows:

    X
          Sample points.

    P
          Polynomial coefficients for points in sample interval.  `P (I, :)' contains the coefficients for the polynomial over interval I ordered from highest to lowest.  If `D > 1', `P (R, I, :)' contains the coefficients for the r-th polynomial defined on interval I.  However, this is stored as a 2-D array such that `C = reshape (P (:, J), N, D)' gives `C (I,  R)' is the j-th coefficient of the r-th polynomial over the i-th interval.

    N
          Number of polynomial pieces.

    K
          Order of the polynomial plus 1.

    D
          Number of polynomials defined for each interval.

     See also: mkpp, ppval, spline.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 63
Extract the components of a piece-wise polynomial structure PP.

# name: <cell-element>
# type: string
# elements: 1
# length: 10
polyaffine
# name: <cell-element>
# type: string
# elements: 1
# length: 330
 -- Function File:  polyaffine (F, MU)
     Return the coefficients of the polynomial whose coefficients are given by vector F after an affine tranformation. If F is the vector representing the polynomial f(x), then G = polytrans (F, MU) is the vector representing
          g(x) = f((x-MU(1))/MU(2)).

     See also: polyval.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 113
Return the coefficients of the polynomial whose coefficients are given by vector F after an affine tranformation.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
poly
# name: <cell-element>
# type: string
# elements: 1
# length: 811
 -- Function File:  poly (A)
     If A is a square N-by-N matrix, `poly (A)' is the row vector of the coefficients of `det (z * eye (N) - a)', the characteristic polynomial of A.  As an example we can use this to find the eigenvalues of A as the roots of `poly (A)'.
          roots(poly(eye(3)))
          => 1.00000 + 0.00000i
          => 1.00000 - 0.00000i
          => 1.00000 + 0.00000i
     In real-life examples you should, however, use the `eig' function for computing eigenvalues.

     If X is a vector, `poly (X)' is a vector of coefficients of the polynomial whose roots are the elements of X.  That is, of C is a polynomial, then the elements of `D = roots (poly (C))' are contained in C.  The vectors C and D are, however, not equal due to sorting and numerical errors.  See also: eig, roots.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 144
If A is a square N-by-N matrix, `poly (A)' is the row vector of the coefficients of `det (z * eye (N) - a)', the characteristic polynomial of A.

# name: <cell-element>
# type: string
# elements: 1
# length: 8
datetick
# name: <cell-element>
# type: string
# elements: 1
# length: 609
 -- Function File:  datetick (FORM)
 -- Function File:  datetick (AXIS, FORM)
 -- Function File:  datetick (..., "keeplimits")
 -- Function File:  datetick (..., "keepticks")
 -- Function File:  datetick (...ax, ...)
     Adds date formatted tick labels to an axis.  The axis the apply the ticks to is determined by AXIS that can take the values "x", "y" or "z".  The default value is "x".  The formatting of the labels is determined by the variable FORM, that can either be a string in the format needed by `dateform', or a positive integer that can be accepted by `datestr'.  See also: datenum, datestr.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 43
Adds date formatted tick labels to an axis.

# name: <cell-element>
# type: string
# elements: 1
# length: 12
is_leap_year
# name: <cell-element>
# type: string
# elements: 1
# length: 242
 -- Function File:  is_leap_year (YEAR)
     Return 1 if the given year is a leap year and 0 otherwise.  If no arguments are provided, `is_leap_year' will use the current year.  For example,

          is_leap_year (2000)
               => 1

# name: <cell-element>
# type: string
# elements: 1
# length: 58
Return 1 if the given year is a leap year and 0 otherwise.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
datenum
# name: <cell-element>
# type: string
# elements: 1
# length: 1408
 -- Function File:  datenum (YEAR, MONTH, DAY)
 -- Function File:  datenum (YEAR, MONTH, DAY, HOUR)
 -- Function File:  datenum (YEAR, MONTH, DAY, HOUR, MINUTE)
 -- Function File:  datenum (YEAR, MONTH, DAY, HOUR, MINUTE, SECOND)
 -- Function File:  datenum (`"date"')
 -- Function File:  datenum (`"date"', P)
     Returns the specified local time as a day number, with Jan 1, 0000 being day 1.  By this reckoning, Jan 1, 1970 is day number 719529.  The fractional portion, P, corresponds to the portion of the specified day.

     Notes:

        * Years can be negative and/or fractional.

        * Months below 1 are considered to be January.

        * Days of the month start at 1.

        * Days beyond the end of the month go into subsequent months.

        * Days before the beginning of the month go to the previous month.

        * Days can be fractional.

     *Warning:* this function does not attempt to handle Julian calendars so dates before Octave 15, 1582 are wrong by as much as eleven days.  Also be aware that only Roman Catholic countries adopted the calendar in 1582.  It took until 1924 for it to be adopted everywhere.  See the Wikipedia entry on the Gregorian calendar for more details.

     *Warning:* leap seconds are ignored.  A table of leap seconds is available on the Wikipedia entry for leap seconds.  See also: date, clock, now, datestr, datevec, calendar, weekday.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 79
Returns the specified local time as a day number, with Jan 1, 0000 being day 1.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
weekday
# name: <cell-element>
# type: string
# elements: 1
# length: 449
 -- Function File: [N, S] = weekday (D, [FORM])
     Return the day of week as a number in N and a string in S, for example `[1, "Sun"]', `[2, "Mon"]', ..., or `[7, "Sat"]'.

     D is a serial date number or a date string.

     If the string FORM is given and is `"long"', S will contain the full name of the weekday; otherwise (or if FORM is `"short"'), S will contain the abbreviated name of the weekday.  See also: datenum, datevec, eomday.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 100
Return the day of week as a number in N and a string in S, for example `[1, "Sun"]', `[2, "Mon"]', .

# name: <cell-element>
# type: string
# elements: 1
# length: 8
calendar
# name: <cell-element>
# type: string
# elements: 1
# length: 573
 -- Function File:  calendar (...)
 -- Function File: C = calendar ()
 -- Function File: C = calendar (D)
 -- Function File: C = calendar (Y, M)
     If called with no arguments, return the current monthly calendar in a 6x7 matrix.

     If D is specified, return the calendar for the month containing the day D, which must be a serial date number or a date string.

     If Y and M are specified, return the calendar for year Y and month M.

     If no output arguments are specified, print the calendar on the screen instead of returning a matrix.  See also: datenum.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 81
If called with no arguments, return the current monthly calendar in a 6x7 matrix.

# name: <cell-element>
# type: string
# elements: 1
# length: 4
date
# name: <cell-element>
# type: string
# elements: 1
# length: 157
 -- Function File:  date ()
     Return the date as a character string in the form DD-MMM-YY.  For example,

          date ()
               => "20-Aug-93"

# name: <cell-element>
# type: string
# elements: 1
# length: 60
Return the date as a character string in the form DD-MMM-YY.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
asctime
# name: <cell-element>
# type: string
# elements: 1
# length: 299
 -- Function File:  asctime (TM_STRUCT)
     Convert a time structure to a string using the following five-field format: Thu Mar 28 08:40:14 1996.  For example,

          asctime (localtime (time ()))
               => "Mon Feb 17 01:15:06 1997\n"

     This is equivalent to `ctime (time ())'.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 101
Convert a time structure to a string using the following five-field format: Thu Mar 28 08:40:14 1996.

# name: <cell-element>
# type: string
# elements: 1
# length: 9
addtodate
# name: <cell-element>
# type: string
# elements: 1
# length: 213
 -- Function File: D = addtodate (D, Q, F)
     Add Q amount of time (with units F) to the datenum, D.

     F must be one of "year", "month", "day", "hour", "minute", or "second".  See also: datenum, datevec.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 54
Add Q amount of time (with units F) to the datenum, D.

# name: <cell-element>
# type: string
# elements: 1
# length: 6
eomday
# name: <cell-element>
# type: string
# elements: 1
# length: 134
 -- Function File: E = eomday (Y, M)
     Return the last day of the month M for the year Y.  See also: datenum, datevec, weekday.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 50
Return the last day of the month M for the year Y.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
datevec
# name: <cell-element>
# type: string
# elements: 1
# length: 736
 -- Function File: V = datevec (DATE)
 -- Function File: V = datevec (DATE, F)
 -- Function File: V = datevec (DATE, P)
 -- Function File: V = datevec (DATE, F, P)
 -- Function File: [Y, M, D, H, MI, S] = datevec (...)
     Convert a serial date number (see `datenum') or date string (see `datestr') into a date vector.

     A date vector is a row vector with six members, representing the year, month, day, hour, minute, and seconds respectively.

     F is the format string used to interpret date strings (see `datestr').

     P is the year at the start of the century in which two-digit years are to be interpreted in.  If not specified, it defaults to the current year minus 50.  See also: datenum, datestr, date, clock, now.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 95
Convert a serial date number (see `datenum') or date string (see `datestr') into a date vector.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
clock
# name: <cell-element>
# type: string
# elements: 1
# length: 324
 -- Function File:  clock ()
     Return a vector containing the current year, month (1-12), day (1-31), hour (0-23), minute (0-59) and second (0-61).  For example,

          clock ()
               => [ 1993, 8, 20, 4, 56, 1 ]

     The function clock is more accurate on systems that have the `gettimeofday' function.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 116
Return a vector containing the current year, month (1-12), day (1-31), hour (0-23), minute (0-59) and second (0-61).

# name: <cell-element>
# type: string
# elements: 1
# length: 5
etime
# name: <cell-element>
# type: string
# elements: 1
# length: 388
 -- Function File:  etime (T1, T2)
     Return the difference (in seconds) between two time values returned from `clock'.  For example:

          t0 = clock ();
           many computations later...
          elapsed_time = etime (clock (), t0);

     will set the variable `elapsed_time' to the number of seconds since the variable `t0' was set.  See also: tic, toc, clock, cputime.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 81
Return the difference (in seconds) between two time values returned from `clock'.

# name: <cell-element>
# type: string
# elements: 1
# length: 5
ctime
# name: <cell-element>
# type: string
# elements: 1
# length: 342
 -- Function File:  ctime (T)
     Convert a value returned from `time' (or any other non-negative integer), to the local time and return a string of the same form as `asctime'.  The function `ctime (time)' is equivalent to `asctime (localtime (time))'.  For example,

          ctime (time ())
               => "Mon Feb 17 01:15:06 1997\n"

# name: <cell-element>
# type: string
# elements: 1
# length: 142
Convert a value returned from `time' (or any other non-negative integer), to the local time and return a string of the same form as `asctime'.

# name: <cell-element>
# type: string
# elements: 1
# length: 7
datestr
# name: <cell-element>
# type: string
# elements: 1
# length: 35322
 -- Function File: STR = datestr (DATE, [F, [P]])
     Format the given date/time according to the format `f' and return the result in STR.  DATE is a serial date number (see `datenum') or a date vector (see `datevec').  The value of DATE may also be a string or cell array of strings.

     F can be an integer which corresponds to one of the codes in the table below, or a date format string.

     P is the year at the start of the century in which two-digit years are to be interpreted in.  If not specified, it defaults to the current year minus 50.

     For example, the date 730736.65149 (2000-09-07 15:38:09.0934) would be formatted as follows:

     Code                                                                                                   Format                                                                                                                                                                                                                                                                                                                                                                                                                                                                      Example
     --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 
     0                                                                                                      dd-mmm-yyyy HH:MM:SS                                                                                                                                                                                                                                                                                                                                                                                                                                                        07-Sep-2000 15:38:09
     1                                                                                                      dd-mmm-yyyy                                                                                                                                                                                                                                                                                                                                                                                                                                                                 07-Sep-2000
     2                                                                                                      mm/dd/yy                                                                                                                                                                                                                                                                                                                                                                                                                                                                    09/07/00
     3                                                                                                      mmm                                                                                                                                                                                                                                                                                                                                                                                                                                                                         Sep
     4                                                                                                      m                                                                                                                                                                                                                                                                                                                                                                                                                                                                           S
     5                                                                                                      mm                                                                                                                                                                                                                                                                                                                                                                                                                                                                          09
     6                                                                                                      mm/dd                                                                                                                                                                                                                                                                                                                                                                                                                                                                       09/07
     7                                                                                                      dd                                                                                                                                                                                                                                                                                                                                                                                                                                                                          07
     8                                                                                                      ddd                                                                                                                                                                                                                                                                                                                                                                                                                                                                         Thu
     9                                                                                                      d                                                                                                                                                                                                                                                                                                                                                                                                                                                                           T
     10                                                                                                     yyyy                                                                                                                                                                                                                                                                                                                                                                                                                                                                        2000
     11                                                                                                     yy                                                                                                                                                                                                                                                                                                                                                                                                                                                                          00
     12                                                                                                     mmmyy                                                                                                                                                                                                                                                                                                                                                                                                                                                                       Sep00
     13                                                                                                     HH:MM:SS                                                                                                                                                                                                                                                                                                                                                                                                                                                                    15:38:09
     14                                                                                                     HH:MM:SS PM                                                                                                                                                                                                                                                                                                                                                                                                                                                                 03:38:09 PM
     15                                                                                                     HH:MM                                                                                                                                                                                                                                                                                                                                                                                                                                                                       15:38
     16                                                                                                     HH:MM PM                                                                                                                                                                                                                                                                                                                                                                                                                                                                    03:38 PM
     17                                                                                                     QQ-YY                                                                                                                                                                                                                                                                                                                                                                                                                                                                       Q3-00
     18                                                                                                     QQ                                                                                                                                                                                                                                                                                                                                                                                                                                                                          Q3
     19                                                                                                     dd/mm                                                                                                                                                                                                                                                                                                                                                                                                                                                                       13/03
     20                                                                                                     dd/mm/yy                                                                                                                                                                                                                                                                                                                                                                                                                                                                    13/03/95
     21                                                                                                     mmm.dd.yyyy HH:MM:SS                                                                                                                                                                                                                                                                                                                                                                                                                                                        Mar.03.1962 13:53:06
     22                                                                                                     mmm.dd.yyyy                                                                                                                                                                                                                                                                                                                                                                                                                                                                 Mar.03.1962
     23                                                                                                     mm/dd/yyyy                                                                                                                                                                                                                                                                                                                                                                                                                                                                  03/13/1962
     24                                                                                                     dd/mm/yyyy                                                                                                                                                                                                                                                                                                                                                                                                                                                                  12/03/1962
     25                                                                                                     yy/mm/dd                                                                                                                                                                                                                                                                                                                                                                                                                                                                    95/03/13
     26                                                                                                     yyyy/mm/dd                                                                                                                                                                                                                                                                                                                                                                                                                                                                  1995/03/13
     27                                                                                                     QQ-YYYY                                                                                                                                                                                                                                                                                                                                                                                                                                                                     Q4-2132
     28                                                                                                     mmmyyyy                                                                                                                                                                                                                                                                                                                                                                                                                                                                     Mar2047
     29                                                                                                     yyyymmdd                                                                                                                                                                                                                                                                                                                                                                                                                                                                    20470313
     30                                                                                                     yyyymmddTHHMMSS                                                                                                                                                                                                                                                                                                                                                                                                                                                             20470313T132603
     31                                                                                                     yyyy-mm-dd HH:MM:SS                                                                                                                                                                                                                                                                                                                                                                                                                                                         1047-03-13 13:26:03

     If F is a format string, the following symbols are recognized:

     Symbol                                                                                                 Meaning                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   Example
     -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 
     yyyy                                                                                                   Full year                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 2005
     yy                                                                                                     Two-digit year                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            2005
     mmmm                                                                                                   Full month name                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           December
     mmm                                                                                                    Abbreviated month name                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    Dec
     mm                                                                                                     Numeric month number (padded with zeros)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  01, 08, 12
     m                                                                                                      First letter of month name (capitalized)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  D
     dddd                                                                                                   Full weekday name                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         Sunday
     ddd                                                                                                    Abbreviated weekday name                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  Sun
     dd                                                                                                     Numeric day of month (padded with zeros)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  11
     d                                                                                                      First letter of weekday name (capitalized)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                S
     HH                                                                                                     Hour of day, padded with zeros if PM is set                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               09:00
                                                                                                            and not padded with zeros otherwise                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       9:00 AM
     MM                                                                                                     Minute of hour (padded with zeros)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        10:05
     SS                                                                                                     Second of minute (padded with zeros)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      10:05:03
     PM                                                                                                     Use 12-hour time format                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   11:30 PM

     If F is not specified or is `-1', then use 0, 1 or 16, depending on whether the date portion or the time portion of DATE is empty.

     If P is nor specified, it defaults to the current year minus 50.

     If a matrix or cell array of dates is given, a vector of date strings is returned.

     See also: datenum, datevec, date, clock, now, datetick.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 84
Format the given date/time according to the format `f' and return the result in STR.

# name: <cell-element>
# type: string
# elements: 1
# length: 3
now
# name: <cell-element>
# type: string
# elements: 1
# length: 437
 -- Function File: t = now ()
     Returns the current local time as the number of days since Jan 1, 0000.  By this reckoning, Jan 1, 1970 is day number 719529.

     The integral part, `floor (now)' corresponds to 00:00:00 today.

     The fractional part, `rem (now, 1)' corresponds to the current time on Jan 1, 0000.

     The returned value is also called a "serial date number" (see `datenum').  See also: clock, date, datenum.
   
# name: <cell-element>
# type: string
# elements: 1
# length: 71
Returns the current local time as the number of days since Jan 1, 0000.

