Module QCheck

module QCheck: sig .. end

Quickcheck inspired property-based testing

The library takes inspiration from Haskell's QuickCheck library. The rough idea is that the programmer describes invariants that values of a certain type need to satisfy ("properties"), as functions from this type to bool. She also needs to describe how to generate random values of the type, so that the property is tried and checked on a number of random instances.

This explains the organization of this module:

'a arbitrary is used to describe how to generate random values, shrink them (make counter-examples as small as possible), print them, etc. Auxiliary modules such as QCheck.Gen, QCheck.Print, and QCheck.Shrink can be used along with QCheck.make to build one's own arbitrary instances.

QCheck.Test is used to describe a single test, that is, a property of type 'a -> bool combined with an 'a arbitrary that is used to generate the test cases for this property. Optional parameters allow to specify the random generator state, number of instances to generate and test, etc.

Examples:

List.rev is involutive:

      let test =
        QCheck.(Test.make ~count:1000
                  (list int) (fun l -> List.rev (List.rev l) = l));;

      QCheck.Test.check_exn test;;

Not all lists are sorted (false property that will fail. The 15 smallest counter-example lists will be printed):

      let test = QCheck.(
          Test.make
            ~count:10_000 ~max_fail:3
            (list small_nat)
            (fun l -> l = List.sort compare l));;
      QCheck.Test.check_exn test;;

generate 20 random trees using QCheck.Gen.fix :

      type tree = Leaf of int | Node of tree * tree

      let leaf x = Leaf x
      let node x y = Node (x,y)

      let g = QCheck.Gen.(sized @@ fix
                            (fun self n -> match n with
                               | 0 -> map leaf nat
                               | n ->
                                 frequency
                                   [1, map leaf nat;
                                    2, map2 node (self (n/2)) (self (n/2))]
                            ))

          Gen.generate ~n:20 g;;

More complex and powerful combinators can be found in Gabriel Scherer's Generator module. Its documentation can be found here.

val (==>) : bool -> bool -> bool

b1 ==> b2 is the logical implication b1 => b2 ie not b1 || b2 (except that it is strict and will interact better with QCheck.Test.check_exn and the likes, because they will know the precondition was not satisfied.).

WARNING: this function should only be used in a property (see QCheck.Test.make), because it raises a special exception in case of failure of the first argument, to distinguish between failed test and failed precondition. Because of OCaml's evaluation order, both b1 and b2 are always evaluated; if b2 should only be evaluated when b1 holds, see QCheck.assume.

val assume : bool -> unit

assume cond checks the precondition cond, and does nothing if cond=true. If cond=false, it interrupts the current test.

WARNING This function, like QCheck.(==>), should only be used in a test, not outside. Example:

      Test.make (list int) (fun l ->
          assume (l <> []);
          List.hd l :: List.tl l = l)

Since 0.5.1

val assume_fail : unit -> 'a

assume_fail () is like assume false, but can take any type since we know it always fails (like assert false). This is useful to ignore some branches in if or match.

Example:

      Test.make (list int) (function
          | [] -> assume_fail ()
          | _::_ as l -> List.hd l :: List.tl l = l)

Since 0.5.1

module Gen: sig .. end

Generate Random Values

Pretty printing

module Print: sig .. end

Show Values

module Iter: sig .. end

Iterators

module Shrink: sig .. end

Shrink Values

Observe Values

Observables are usable as arguments for random functions. The random function will observe its arguments in a way that is determined from the observable instance.

Inspired from https://blogs.janestreet.com/quickcheck-for-core/ and Koen Claessen's "Shrinking and Showing functions".

module Observable: sig .. end

Arbitrary

A value of type 'a arbitrary glues together a random generator, and optional functions for shrinking, printing, computing the size, etc. It is the "normal" way of describing how to generate values of a given type, to be then used in tests (see QCheck.Test).

type 'a stat = string * ('a -> int)

A statistic on a distribution of values of type 'a. The function MUST return a positive integer.

type 'a arbitrary = private {

`gen : 'a Gen.t;`
`print : ('a -> string) option;`	`(*`	print values	`*)`
`small : ('a -> int) option;`	`(*`	size of example	`*)`
`shrink : 'a Shrink.t option;`	`(*`	shrink to smaller examples	`*)`
`collect : ('a -> string) option;`	`(*`	map value to tag, and group by tag	`*)`
`stats : 'a stat list;`	`(*`	statistics to collect and print	`*)`

}

A value of type 'a arbitrary is an object with a method for generating random values of type 'a, and additional methods to compute the size of values, print them, and possibly shrink them into smaller counter-examples.

NOTE the collect field is unstable and might be removed, or moved into QCheck.Test.

Made private since 0.8

val make : ?print:'a Print.t ->
       ?small:('a -> int) ->
       ?shrink:'a Shrink.t ->
       ?collect:('a -> string) ->
       ?stats:'a stat list -> 'a Gen.t -> 'a arbitrary

Builder for arbitrary. Default is to only have a generator, but other arguments can be added.

print : printer for values (counter-examples)

shrink : to shrink counter-examples

collect : for statistics

val set_print : 'a Print.t -> 'a arbitrary -> 'a arbitrary

val set_small : ('a -> int) -> 'a arbitrary -> 'a arbitrary

val set_shrink : 'a Shrink.t -> 'a arbitrary -> 'a arbitrary

val set_collect : ('a -> string) -> 'a arbitrary -> 'a arbitrary

val set_stats : 'a stat list -> 'a arbitrary -> 'a arbitrary

Since 0.6

val add_shrink_invariant : ('a -> bool) -> 'a arbitrary -> 'a arbitrary

Update shrinker by only keeping smaller values satisfying the given invariant.

Since 0.8

val set_gen : 'a Gen.t -> 'a arbitrary -> 'a arbitrary

Change the generator

Since 0.7

val add_stat : 'a stat -> 'a arbitrary -> 'a arbitrary

Add a statistic to the arbitrary instance.

Since 0.6

val gen : 'a arbitrary -> 'a Gen.t

Access the underlying random generator of this arbitrary object.

Since 0.6

val get_gen : 'a arbitrary -> 'a Gen.t

Access the underlying random generator of this arbitrary object.

Since 0.6

val get_print : 'a arbitrary -> 'a Print.t option

Tests

A test is a universal property of type foo -> bool for some type foo, with an object of type foo arbitrary used to generate, print, etc. values of type foo.

The main features of this module are:

QCheck.Test.make to build a test,
QCheck.Test.make_neg to build a negative test that is expected not to satisfy the tested property,
QCheck.Test.check_exn to run a single test with a simple runner.

A test fails if the property does not hold for a given input. The simple form or the rich form) offer more elaborate forms to fail a test.

For more serious testing, it is recommended to create a testsuite and use a full-fledged runner:

QCheck_base_runner is a QCheck-only runner (useful if you don't have or don't need another test framework)
QCheck_alcotest interfaces to the Alcotest framework
QCheck_ounit interfaces to the to OUnit framework

module TestResult: sig .. end

Result of running a test

module Test: sig .. end

Module related to individual tests.

Sub-tests

The infrastructure used to find counter-examples to properties can also be used to find data satisfying a predicate, within a property being tested.

See https://github.com/c-cube/qcheck/issues/31

exception No_example_found of string

val find_example : ?name:string ->
       ?count:int -> f:('a -> bool) -> 'a Gen.t -> 'a Gen.t

find_example ~f gen uses gen to generate some values of type 'a, and checks them against f. If such a value is found, it is returned. Otherwise an exception is raised. NOTE this should only be used from within a property in QCheck.Test.make.

Since 0.6
Raises No_example_found if no example is found within count tries.

name : description of the example to find (used in the exception).

count : number of attempts.

f : the property that the example must satisfy.

val find_example_gen : ?rand:Stdlib.Random.State.t ->
       ?name:string -> ?count:int -> f:('a -> bool) -> 'a Gen.t -> 'a

Toplevel version of QCheck.find_example. find_example_gen ~f arb ~n is roughly the same as Gen.generate1 (find_example ~f arb |> gen).

Since 0.6
Raises No_example_found if no example was found within count tries.

rand : the random state to use to generate inputs.

Combinators for arbitrary

val choose : 'a arbitrary list -> 'a arbitrary

Choose among the given list of generators. The list must not be empty; if it is Invalid_argument is raised.

val unit : unit arbitrary

Always generates (), obviously.

val bool : bool arbitrary

Uniform boolean generator.

val float : float arbitrary

Generates regular floats (no nan and no infinities).

val pos_float : float arbitrary

Positive float generator (no nan and no infinities).

val neg_float : float arbitrary

Negative float generator (no nan and no infinities).

val float_bound_inclusive : float -> float arbitrary

float_bound_inclusive n is uniform between 0 and n included. If bound is negative, the result is negative or zero. If bound is 0, the result is 0.

Since 0.11

val float_bound_exclusive : float -> float arbitrary

float_bound_exclusive n is uniform between 0 included and n excluded. If bound is negative, the result is negative or zero.

Since 0.11
Raises Invalid_argument if bound is zero.

val float_range : float -> float -> float arbitrary

float_range low high is uniform between low included and high included.

Since 0.11
Raises Invalid_argument if low > high or if the range is larger than max_float.

val int : int arbitrary

Int generator. Uniformly distributed.

val int_bound : int -> int arbitrary

int_bound n is uniform between 0 and n included.

val int_range : int -> int -> int arbitrary

int_range a b is uniform between a and b included. b must be larger than a.

val small_nat : int arbitrary

Small unsigned integers.

Since 0.5.1

val small_int : int arbitrary

Deprecated. use QCheck.small_signed_int.

Small unsigned integers. See QCheck.Gen.small_int.

val small_signed_int : int arbitrary

Small signed integers.

Since 0.5.2

val (--) : int -> int -> int arbitrary

Synonym for QCheck.int_range.

val int32 : int32 arbitrary

Int32 generator. Uniformly distributed.

val int64 : int64 arbitrary

Int64 generator. Uniformly distributed.

val pos_int : int arbitrary

Positive int generator (0 included). Uniformly distributed. See QCheck.Gen.pint

val small_int_corners : unit -> int arbitrary

As small_int, but each newly created generator starts with a list of corner cases before falling back on random generation.

val neg_int : int arbitrary

Negative int generator (0 included, see QCheck.Gen.neg_int). The distribution is similar to that of small_int, not of pos_int.

val char : char arbitrary

Uniformly distributed on all the chars (not just ascii or valid latin-1).

val printable_char : char arbitrary

Uniformly distributed over a subset of printable ascii chars. Ascii character codes 32 to 126, inclusive - or '\n' with code 10.

val numeral_char : char arbitrary

Uniformly distributed over '0'..'9'.

val bytes_gen_of_size : int Gen.t -> char Gen.t -> bytes arbitrary

Builds a bytes generator from a (non-negative) size generator and a character generator.

Since 0.20

val bytes_of : char Gen.t -> bytes arbitrary

Generates bytes with a distribution of length of QCheck.Gen.nat.

Since 0.20

val bytes : bytes arbitrary

Generates bytes with a distribution of length of QCheck.Gen.nat and distribution of characters of char.

Since 0.20

val bytes_small : bytes arbitrary

Same as QCheck.bytes but with a small length (ie QCheck.Gen.small_nat ).

Since 0.20

val bytes_small_of : char Gen.t -> bytes arbitrary

Same as QCheck.bytes_of but with a small length (ie QCheck.Gen.small_nat ).

Since 0.20

val bytes_of_size : int Gen.t -> bytes arbitrary

Generates bytes with distribution of characters of char.

Since 0.20

val bytes_printable : bytes arbitrary

Generates bytes with a distribution of length of QCheck.Gen.nat and distribution of characters of printable_char.

Since 0.20

val string_gen_of_size : int Gen.t -> char Gen.t -> string arbitrary

Builds a string generator from a (non-negative) size generator and a character generator.

val string_gen : char Gen.t -> string arbitrary

Generates strings with a distribution of length of QCheck.Gen.nat.

val string_of : char Gen.t -> string arbitrary

Synonym for QCheck.string_gen added for convenience.

Since 0.20

val string : string arbitrary

Generates strings with a distribution of length of QCheck.Gen.nat and distribution of characters of char.

val small_string : string arbitrary

Same as QCheck.string but with a small length (ie QCheck.Gen.small_nat ).

val string_small : string arbitrary

Synonym for small_string added for convenience.

Since 0.20

val string_small_of : char Gen.t -> string arbitrary

Same as QCheck.string_of but with a small length (ie QCheck.Gen.small_nat ).

Since 0.20

val small_list : 'a arbitrary -> 'a list arbitrary

Generates lists of small size (see QCheck.Gen.small_nat).

Since 0.5.3

val string_of_size : int Gen.t -> string arbitrary

Generates strings with distribution of characters of char.

val printable_string : string arbitrary

Generates strings with a distribution of length of QCheck.Gen.nat and distribution of characters of printable_char.

val string_printable : string arbitrary

Synonym for printable_string added for convenience.

Since 0.20

val printable_string_of_size : int Gen.t -> string arbitrary

Generates strings with distribution of characters of printable_char.

val string_printable_of_size : int Gen.t -> string arbitrary

Synonym for printable_string_of_size added for convenience.

Since 0.20

val small_printable_string : string arbitrary

Generates strings with a length of small_nat and distribution of characters of printable_char.

val string_small_printable : string arbitrary

Synonym for small_printable_string added for convenience.

Since 0.20

val numeral_string : string arbitrary

Generates strings with a distribution of length of QCheck.Gen.nat and distribution of characters of numeral_char.

val string_numeral : string arbitrary

Synonym for numeral_string added for convenience.

Since 0.20

val numeral_string_of_size : int Gen.t -> string arbitrary

Generates strings with a distribution of characters of numeral_char.

val string_numeral_of_size : int Gen.t -> string arbitrary

Synonym for numeral_string_of_size added for convenience.

Since 0.20

val list : 'a arbitrary -> 'a list arbitrary

Generates lists with length generated by QCheck.Gen.nat.

val list_of_size : int Gen.t -> 'a arbitrary -> 'a list arbitrary

Generates lists with length from the given distribution.

val array : 'a arbitrary -> 'a array arbitrary

Generates arrays with length generated by QCheck.Gen.nat.

val array_of_size : int Gen.t -> 'a arbitrary -> 'a array arbitrary

Generates arrays with length from the given distribution.

val pair : 'a arbitrary -> 'b arbitrary -> ('a * 'b) arbitrary

Combines two generators into a generator of pairs. Order of elements can matter (w.r.t shrinking, see QCheck.Shrink.pair)

val triple : 'a arbitrary ->
       'b arbitrary -> 'c arbitrary -> ('a * 'b * 'c) arbitrary

Combines three generators into a generator of 3-tuples. Order matters for shrinking, see QCheck.Shrink.pair and the likes

val quad : 'a arbitrary ->
       'b arbitrary ->
       'c arbitrary ->
       'd arbitrary -> ('a * 'b * 'c * 'd) arbitrary

Combines four generators into a generator of 4-tuples. Order matters for shrinking, see QCheck.Shrink.pair and the likes

Tuple of generators

Shrinks on `gen1`, then `gen2`, then ...

val tup2 : 'a arbitrary -> 'b arbitrary -> ('a * 'b) arbitrary

Combines two generators into a 2-tuple generator. Order of elements can matter (w.r.t shrinking, see QCheck.Shrink.tup2) Prints as many elements as available printers

val tup3 : 'a arbitrary ->
       'b arbitrary -> 'c arbitrary -> ('a * 'b * 'c) arbitrary

Combines three generators into a 3-tuple generator. Order of elements can matter (w.r.t shrinking, see QCheck.Shrink.tup2) Prints as many elements as available printers

val tup4 : 'a arbitrary ->
       'b arbitrary ->
       'c arbitrary ->
       'd arbitrary -> ('a * 'b * 'c * 'd) arbitrary

Combines four generators into a 4-tuple generator. Order of elements can matter (w.r.t shrinking, see QCheck.Shrink.tup2) Prints as many elements as available printers

val tup5 : 'a arbitrary ->
       'b arbitrary ->
       'c arbitrary ->
       'd arbitrary ->
       'e arbitrary -> ('a * 'b * 'c * 'd * 'e) arbitrary

Combines five generators into a 5-tuple generator. Order of elements can matter (w.r.t shrinking, see QCheck.Shrink.tup2) Prints as many elements as available printers

val tup6 : 'a arbitrary ->
       'b arbitrary ->
       'c arbitrary ->
       'd arbitrary ->
       'e arbitrary ->
       'f arbitrary -> ('a * 'b * 'c * 'd * 'e * 'f) arbitrary

Combines six generators into a 6-tuple generator. Order of elements can matter (w.r.t shrinking, see QCheck.Shrink.tup2) Prints as many elements as available printers

val tup7 : 'a arbitrary ->
       'b arbitrary ->
       'c arbitrary ->
       'd arbitrary ->
       'e arbitrary ->
       'f arbitrary ->
       'g arbitrary -> ('a * 'b * 'c * 'd * 'e * 'f * 'g) arbitrary

Combines seven generators into a 7-tuple generator. Order of elements can matter (w.r.t shrinking, see QCheck.Shrink.tup2) Prints as many elements as available printers

val tup8 : 'a arbitrary ->
       'b arbitrary ->
       'c arbitrary ->
       'd arbitrary ->
       'e arbitrary ->
       'f arbitrary ->
       'g arbitrary ->
       'h arbitrary ->
       ('a * 'b * 'c * 'd * 'e * 'f * 'g * 'h) arbitrary

Combines eight generators into a 8-tuple generator. Order of elements can matter (w.r.t shrinking, see QCheck.Shrink.tup2) Prints as many elements as available printers

val tup9 : 'a arbitrary ->
       'b arbitrary ->
       'c arbitrary ->
       'd arbitrary ->
       'e arbitrary ->
       'f arbitrary ->
       'g arbitrary ->
       'h arbitrary ->
       'i arbitrary ->
       ('a * 'b * 'c * 'd * 'e * 'f * 'g * 'h * 'i) arbitrary

Combines nine generators into a 9-tuple generator. Order of elements can matter (w.r.t shrinking, see QCheck.Shrink.tup2) Prints as many elements as available printers

val option : ?ratio:float -> 'a arbitrary -> 'a option arbitrary

Choose between returning Some random value with optional ratio, or None.

val fun1_unsafe : 'a arbitrary -> 'b arbitrary -> ('a -> 'b) arbitrary

Deprecated. use QCheck.fun_ instead.

Generator of functions of arity 1. The functions are always pure and total functions:

when given the same argument (as decided by Stdlib.(=)), it returns the same value
it never does side effects, like printing or never raise exceptions etc. The functions generated are really printable.

renamed from QCheck.fun1 since 0.6

Since 0.6

val fun2_unsafe : 'a arbitrary ->
       'b arbitrary ->
       'c arbitrary -> ('a -> 'b -> 'c) arbitrary

Deprecated. use QCheck.fun_ instead since 0.6

Generator of functions of arity 2. The remark about fun1 also apply here. renamed from QCheck.fun2 since 0.6

type '_ fun_repr

Internal data for functions. A 'f fun_ is a function of type 'f, fundamentally.

type '_ fun_ =

`\|`	`Fun : 'f fun_repr * 'f -> 'f fun_`

A function packed with the data required to print/shrink it. See QCheck.Fn to see how to apply, print, etc. such a function.

One can also directly pattern match on it to obtain the executable function.

For example:

      QCheck.Test.make
        QCheck.(pair (fun1 Observable.int bool) (small_list int))
        (fun (Fun (_,f), l) -> l=(List.rev_map f l |> List.rev l))

module Fn: sig .. end

Utils on functions

val fun1 : 'a Observable.t ->
       'b arbitrary -> ('a -> 'b) fun_ arbitrary

fun1 o ret makes random functions that take an argument observable via o and map to random values generated from ret. To write functions with multiple arguments, it's better to use QCheck.Tuple or QCheck.Observable.pair rather than applying QCheck.fun_ several times (shrinking will be faster).

Since 0.6

module Tuple: sig .. end

val fun_nary : 'a Tuple.obs ->
       'b arbitrary -> ('a Tuple.t -> 'b) fun_ arbitrary

fun_nary makes random n-ary functions. Example:

      let module O = Observable in
      fun_nary Tuple.(O.int @-> O.float @-> O.string @-> o_nil) bool)

Since 0.6

val fun2 : 'a Observable.t ->
       'b Observable.t ->
       'c arbitrary -> ('a -> 'b -> 'c) fun_ arbitrary

Since 0.6

val fun3 : 'a Observable.t ->
       'b Observable.t ->
       'c Observable.t ->
       'd arbitrary -> ('a -> 'b -> 'c -> 'd) fun_ arbitrary

Since 0.6

val fun4 : 'a Observable.t ->
       'b Observable.t ->
       'c Observable.t ->
       'd Observable.t ->
       'e arbitrary ->
       ('a -> 'b -> 'c -> 'd -> 'e) fun_ arbitrary

Since 0.6

val oneofl : ?print:'a Print.t ->
       ?collect:('a -> string) -> 'a list -> 'a arbitrary

Pick an element randomly in the list.

val oneofa : ?print:'a Print.t ->
       ?collect:('a -> string) -> 'a array -> 'a arbitrary

Pick an element randomly in the array.

val oneof : 'a arbitrary list -> 'a arbitrary

Deprecated. this function is badly specified and will not use shrinkers appropriately. Consider using QCheck.Gen.oneof and then QCheck.make to build a well behaved arbitrary instance.

Pick a generator among the list, randomly.

val always : ?print:'a Print.t -> 'a -> 'a arbitrary

Always return the same element.

val frequency : ?print:'a Print.t ->
       ?small:('a -> int) ->
       ?shrink:'a Shrink.t ->
       ?collect:('a -> string) ->
       (int * 'a arbitrary) list -> 'a arbitrary

Similar to QCheck.oneof but with frequencies.

val frequencyl : ?print:'a Print.t ->
       ?small:('a -> int) -> (int * 'a) list -> 'a arbitrary

Same as QCheck.oneofl, but each element is paired with its frequency in the probability distribution (the higher, the more likely).

val frequencya : ?print:'a Print.t ->
       ?small:('a -> int) -> (int * 'a) array -> 'a arbitrary

Same as QCheck.frequencyl, but with an array.

val map : ?rev:('b -> 'a) -> ('a -> 'b) -> 'a arbitrary -> 'b arbitrary

map f a returns a new arbitrary instance that generates values using a#gen and then transforms them through f.

rev : if provided, maps values back to type 'a so that the printer, shrinker, etc. of a can be used. We assume f is monotonic in this case (that is, smaller inputs are transformed into smaller outputs).

val map_same_type : ('a -> 'a) -> 'a arbitrary -> 'a arbitrary

Specialization of map when the transformation preserves the type, which makes shrinker, printer, etc. still relevant.

val map_keep_input : ?print:'b Print.t ->
       ?small:('b -> int) ->
       ('a -> 'b) -> 'a arbitrary -> ('a * 'b) arbitrary

map_keep_input f a generates random values from a, and maps them into values of type 'b using the function f, but it also keeps the original value. For shrinking, it is assumed that f is monotonic and that smaller input values will map into smaller values.

print : optional printer for the f's output.