Three-dimensional Function Plotting - GNU Octave
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##### 15.2.2.2 Three-dimensional Function Plotting

— Function File: ezplot3 (fx, fy, fz)
— Function File: ezplot3 (..., dom)
— Function File: ezplot3 (..., n)
— Function File: ezplot3 (h, ...)
— Function File: h = ezplot3 (...)

> Plot a parametrically defined curve in three dimensions. 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 is a graphics handle to the created plot.

>               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.

— 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 (...)

> Plot 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 is a graphics handle to the created surface object.

>               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, ezmeshc, ezsurf, ezsurfc.

— 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 (...)

> Plot 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 is a 2-element vector with a graphics handle for the created mesh plot and a second handle for the created contour plot.

>               f = @(x,y) sqrt(abs(x .* y)) ./ (1 + x.^2 + y.^2);
>               ezmeshc (f, [-3, 3]);

> See also: ezplot, ezsurfc, ezsurf, ezmesh.

— 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 (...)

> Plot 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 is a graphics handle to the created surface object.

>               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.

— 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 (...)

> Plot 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 is a 2-element vector with a graphics for the created surface plot and a second handle for the created contour plot.

>               f = @(x,y) sqrt(abs(x .* y)) ./ (1 + x.^2 + y.^2);
>               ezsurfc (f, [-3, 3]);

> See also: ezplot, ezmeshc, ezsurf, ezmesh.