Provided by: libtest-lectrotest-perl_0.5001-2_all bug

NAME

       Test::LectroTest::Generator - Random value generators and combinators

VERSION

       version 0.5001

SYNOPSIS

        use Test::LectroTest::Generator qw(:common :combinators);

        my $int_gen = Int;
        my $pct_gen = Int( range=>[0,100] );
        my $flt_gen = Float( range=>[0,1] );
        my $bln_gen = Bool;
        my $chr_gen = Char( charset=>"a-z" );
        my $str_gen = String( charset=>"A-Z0-9", length=>[3,] );
        my $ary_gen = List( Int(sized=>0) );
        my $hsh_gen = Hash( $str_gen, $pct_gen );
        my $uni_gen = Unit( "e" );  # always returns "e"
        my $elm_gen = Elements("e1", "e2", "e3", "e4");

        for my $sizing_guidance (1..100) {
            my $i = $int_gen->generate( $sizing_guidance );
            print "$i ";
        }
        print "\n";

        # generates single digits
        my $digit_gen  = Elements( 0..9 );  # or Int(range=>[0,9],sized=>0)

        # generates SSNs like "910-77-2236"
        my $ssn_gen    = Paste( Paste( ($digit_gen) x 3 ),
                                Paste( ($digit_gen) x 2 ),
                                Paste( ($digit_gen) x 4 ),
                                glue => "-"                );

        # print 10 SSNs
        print( map {$ssn_gen->generate($_)."\n"} 1..10 );

        my $english_dist_vowel_gen =
            Frequency( [8.167,Unit("a")], [12.702,Unit("e")],
                       [6.996,Unit("i")], [ 7.507,Unit("o")],
                       [2.758,Unit("u")] );
            # Source: http://www.csm.astate.edu/~rossa/datasec/frequency.html

DESCRIPTION

       This module provides random value generators for common data types and provides an
       interface and tools for creating your own generators.  It also provides generator
       combinators that can be used to create more-complex generators by combining simple ones.

       A generator is an object having a method "generate", which takes a single argument, size
       and returns a new random value.  The generated value is always a scalar.  Generators that
       produce data structures return references to them.

   Sizing guidance
       The "generate" method interprets its size argument as guidance about the complexity of the
       value it should create.  Typically, smaller size values result in smaller generated
       numbers and shorter generated strings and lists.  Some generators, for which sizing
       doesn't make sense, ignore sizing guidance altogether; those that do use sizing guidance
       can be told to ignore it via the sized modifier.

       The purpose of sizing is to allow LectroTest to generate simple values at first and then,
       as testing progresses, to slowly ramp up the complexity.  In this way, counterexamples for
       obvious problems will be easier for you to understand.

   Generators
       The following functions create fully-formed generators, ready to use.  These functions are
       exported into your code's namespace if you ask for ":generators" or ":all" when you "use"
       this module.

       Each generator has a "generate" method that you can call to extract a new, random value
       from the generator.

       Int
               my $gen = Int( range=>[0,9], sized=>0 );

           Creates a generator for integer values, by default in the range [-32768,32767],
           inclusive, but this can be changed via the optional range modifier.

           Int( range=>[low, high] )
               Causes the generated values to be constrained to the range [low, high], inclusive.
               By default, the range is [-32768, 32767].

               Note: If your range is empty (i.e., low > high), LectroTest will complain.

               Note: If zero is not within the range you provide, sizing makes no sense because
               the intersection of your range and the sizing range can be empty, and thus you
               must turn off sizing with "sized=>0".  If you forget, LectroTest will complain.

           Int( sized=>bool )
               If true (the default), constrains the absolute value of the generated integers to
               the sizing guidance provided to the "generate" method.  Otherwise, the generated
               values are constrained only by the range.

       Float
               my $gen = Float( range=>[-2.0,2.0], sized=>1 );

           Creates a generator for floating-point values, by default in the range
           [-32768.0,32768.0), but this can be changed via the optional range modifier.  By
           default Float generators are sized.

           Float( range=>[low, high] )
               Causes the generated values to be constrained to the range [low, high).  By
               default, the range is [-32768.0,32768.0).  (Note that the high value itself can
               never be generated, but values infinitesimally close to it can.)

               Note: If your range is empty (i.e., low > high), LectroTest will complain.

               Note: If zero is not within the range you provide, sizing makes no sense because
               the intersection of your range and the sizing range can be empty, and thus you
               must turn off sizing with "sized=>0".  If you forget, LectroTest will complain.

           Float( sized=>bool )
               If true (the default), constrains the absolute value of the generated values to
               the sizing guidance provided to the "generate" method.  Otherwise, the generated
               values are constrained only by the range.

       Bool
               my $gen = Bool;

           Creates a generator for boolean values: 0 for false, 1 for true.  The generator
           ignores sizing guidance.

       Char
               my $gen = Char( charset=>"A-Za-z0-9_" );

           Creates a generator for characters.  By default the characters are in the ASCII range
           [0,127], inclusive, but this behavior can be changed with the charset modifier:

           Char( charset=>cset )
               Characters will be drawn from the character set given by the character-set
               specification cset.  The syntax of cset is similar the Perl "tr" built-in and is a
               string comprised of characters and character ranges:

               c   Adds the character c to the set.

               c-d Adds the characters in the range c through d (inclusive) to the set.  Note: If
                   c is lexicographically greater than d, the range is empty, and no characters
                   will be added to the set.

               Examples:

               charset=>"abcdwxyz"
                   The characters "a", "b", "c", "d", "w", "x", "y", and "z" are in the set.

               charset=>"a-dx-z"
                   Shorter version of the previous example.

               charset=>"\x00-\x7f"
                   The ASCII character set.

               charset=>"-_A-Za-z0-9"
                   The character set contains "-", "_", upper- and lower-case ASCII letters, and
                   the digits 0-9.  Notice that the dash must occur first so that it is not
                   misinterpreted as denoting a range of characters.

       List(elemgen)
               my $gen = List( Bool, length=>[1,10] );

           Creates a generator for lists (which are returned as array refs).  The elements of the
           lists are generated by the generator given as elemgen.  The lengths of the generated
           lists are constrained by sizing guidance at the time of generation.  You can override
           the default sizing behavior using the optional length modifier:

           When the list generator calls the element generator, it divides the sizing guidance by
           the length of the list.  For example, if the list being generated will have 7
           elements, when the list generator calls the element generator to generate each
           element, it will scale the sizing guidance by 1/7.  In this way the sizing guidance
           provides a rough constraint on the total number of elements produced, regardless of
           the depth of the list structure being generated.

           List( ..., length=>N )
               Generated lists are exactly length N.

           List( ..., length=>[M,] )
               Generated lists are at least length M.  (Maximum length is constrained by sizing
               factor.)

           List( ..., length=>[M,N] )
               Generated lists are of length between M and N, inclusive.  Sizing guidance is
               ignored.

           Advanced Note: If more than one elemgen is given, they will be used in turn to create
           successive elements. In this case, the length of the list will be multiplied by the
           number of generators given.  For example, providing two generators will create double-
           length lists.

       Hash(keygen, valgen)
               my $gen = Hash( String( charset=>"A-Z", length=>3 ),
                               Float( range=>[0.0, 100.0] );

           Creates a generator for hashes (which are returned as hash refs).  The keys of the
           hash are generated by the generator given as keygen, and the values are generated by
           the generator valgen.

           The Hash generator takes an optional length modifier that specifies the desired hash
           length (= number of keys):

           Hash( ..., length=>length-spec )
               Specifies the desired length of the generated hashes, using the same length-spec
               syntax as for the List generator.  Note that the generated hashes may be smaller
               than expected because of key collision.

       String
               my $gen = String( length=>[3,], charset=>"A-Z" );

           Creates a generator for strings.  By default the strings will be drawn from the ASCII
           character set (0 through 127) and be of length constrained by the sizing factor.  Both
           defaults can be changed using modifiers:

           String( charset=>cset )
               Characters will be drawn from the character set given by the character-set
               specification cset.  The syntax of cset is similar the Perl "tr" operator and is a
               string comprised of characters and character ranges.  See Char for a full
               description.

           String( length=>length-spec )
               Specifies the desired length of generated strings, using the same length-spec
               syntax as for the List generator.

       Elements(e1, e2, ...)
               my $gen = Elements( "alpha", "beta", "gamma" );

           Creates a generator that chooses among the given elements e1, e2, ... with equal
           probability.  Each call to the "generate" method will return one of the element
           values.  Sizing guidance has no effect on this generator.

           Note: This generator builder does not accept modifiers.  If you pass any, they will be
           interpreted as elements to be added to the pool from which the generator randomly
           selects, which is probably not what you want.

       Unit(e)
               my $gen = Unit( "alpha" );

           Creates a generator that always returns the value e.  Not too useful on its own but
           can be handy as a building block for combinators to chew on.  Naturally, sizing
           guidance has no effect on this generator.

           Note: This generator builder does not accept modifiers.

   Generator combinators
       The following combinators allow you to build more complicated generators from simpler
       ones.  These combinators are exported into your code's namespace if you ask for
       ":combinators" or ":all" when you "use" this module.

       Paste(gens..., glue=>str)
               my $gen = Paste( (String(charset=>"0-9",length=>4)) x 4,
                                glue => " " );
               # gens credit-card numbers like "4592 9459 9023 1369"

               my $lgen = Paste( List( String(charset=>"0-9",length=>4)
                                     , length=>4 ), glue => " " );
               # another way of doing the same

           Creates a combined generator that generates values by joining the values generated by
           each of the supplied sub-generators gens.  (Generated list values will have their
           elements "flattened" into the rest of the generated results before joining.) The
           resulting string is returned.

           The values are joined using the given glue string str.  If no glue modifier is
           provided, the default glue is the empty string.

           The sizing guidance given to the combined generator will be passed unchanged to each
           of the sub-generators.

       OneOf(gens...)
               my $gen = OneOf( Unit(0), List(Int,length=>3) );
               # generates scalar 0 or a 3-element list of integers

           Creates a combined generator that generates each value by selecting at random (with
           equal probability) one of the sub-generators in gens and using that generator to
           generate the output value.

           The sizing guidance given to the combined generator will be passed unchanged to the
           selected sub-generator.

           Note: This combinator does not accept modifiers.

       Frequency([freq1, gen1], [freq2, gen2], ...)
               my $gen = Frequency( [50, Unit("common"     )],
                                    [35, Unit("less common")],
                                    [15, Unit("uncommon"   )] );
               # generates one of "common", "less common", or
               # "uncommon" with respective probabilities
               # 50%, 35%, and 15%.

           Creates a combined generator that generates each value by selecting at random one of
           the generators gen1 or gen2 or ... and using that generator to generate the output
           value.  Each generator is selected with probability proportional to its associated
           frequency.  (If all of the given frequencies are the same, the Frequency combinator
           effectively becomes OneOf.)  The frequencies can be any non-negative numerical values
           you want and will be normalized to a 0-to-1 scale internally.  At least one frequency
           must be greater than zero.

           The sizing guidance given to the combined generator will be passed unchanged to the
           selected sub-generator.

           Note: This combinator does not accept modifiers.

       Each(gens...)
               my $gen = Each( Unit(1), Unit("X") );
               # always generates [ 1, "X" ]

           Creates a generator that returns a list (array ref) whose successive elements are the
           successive values generated by the given generators gens.

           The sizing guidance given to the combined generator will be passed unchanged to each
           sub-generator.

           Note: This combinator does not accept modifiers.

           (Note for technical buffs: "Each(...)" is exactly equivalent to "List(...,
           length=>1)").

       Apply(fn, gens...)
               my $gen = Apply( sub { $_[0] x $_[1] }
                              , Unit("X"), Unit(4) );
               # always generates "XXXX"

           Creates a generator that applies the given function fn to arguments generated from
           each of the given sub-generators gens and returns the resulting value.  Each sub-
           generator contributes one value, and the values are passed to fn as arguments in the
           same order as the sub-generators were given to Apply.

           The sizing guidance given to the combined generator will be passed unchanged to each
           sub-generator.

           Note: The function fn is always evaluated in scalar context.  If you need to generate
           an array, return it as an array reference.

           Note: This combinator does not accept modifiers.

       Map(fn, gens...)
               my $gen = Map( sub { "X" x $_[0] }
                            , Unit(4), Unit(3), Unit(0) );
               # always generates [ "XXXX", "XXX", "" ]

           Creates a generator that applies the given function fn to the values generated by the
           given generators gen one at a time and returns a list (array ref) whose elements are
           each of the successive results.

           The sizing guidance given to the combined generator will be passed unchanged to each
           sub-generator.

           Note: The function fn is always evaluated in scalar context.  If you need to generate
           an array, return it as an array reference.

           Note: This combinator does not accept modifiers.

       Concat(gens...)
               my $gen = Concat( List( Unit(1),   length=>3 )
                               , List( Unit("x"), length=>1 ) );
               # always generates [1, 1, 1, "x"]

           Creates a generator that concatenates the values generated by each of its sub-
           generators, resulting in a list (which is returned as a array reference).  The values
           returned by the sub-generators are expected to be lists (array refs).  If a sub-
           generator returns a scalar value, it will be treated like a single-element list that
           contains the value.

           The sizing guidance given to the combined generator will be passed unchanged to each
           sub-generator.

           Note: If a sub-generator returns something other than a list or scalar, you will get a
           run-time error.

           Note: This combinator does not accept modifiers.

       Flatten(gens...)
               my $gen = Flatten( Unit( [[[[[[ 1 ]]]]]] ) );
               # generates [1]

           Flatten is just like Concat except that it recursively flattens any sublists generated
           by the generators gen and then concatenates them to generate a final a list of depth
           one, regardless of the depth of any sublists.

           The sizing guidance given to the combined generator will be passed unchanged to each
           sub-generator.

           Note: If a sub-generator returns something other than a list or scalar, you will get a
           run-time error.

           Note: This combinator does not accept modifiers.

       ConcatMap(fn, gens)
               sub take_odds { my $x = shift;
                               $x % 2 ? [$x] : [] }
               my $gen = ConcatMap( \&take_odds
                                  , Unit(1), Unit(2), Unit(3) );
               # generates [1, 3]

           Creates a generator that applies the function fn to each of the values generated by
           the given generators gen in turn, and then concatenates the results.

           The sizing guidance given to the combined generator will be passed unchanged to each
           sub-generator.

           Note: The function fn is always evaluated in scalar context.  If you need to generate
           an array, return it as an array reference.

           Note: If a sub-generator returns something other than a list or scalar, you will get a
           run-time error.

           Note: This combinator does not accept modifiers.

       FlattenMap(fn, gens)
               my $gen = FlattenMap( sub { [ ($_[0]) x 3 ] }
                                   , Unit([1]), Unit([[2]]) );
               # generates [1, 1, 1, 2, 2, 2]

           Creates a generator that applies the function fn to each of the values generated by
           the given generators gen in turn, and then flattens and concatenates the results.

           The sizing guidance given to the combined generator will be passed unchanged to each
           sub-generator.

           Note: The function fn is always evaluated in scalar context.  If you need to generate
           an array, return it as an array reference.

           Note: If a sub-generator returns something other than a list or scalar, you will get a
           run-time error.

           Note: This combinator does not accept modifiers.

       Sized(fn, gen)
               my $gen = Sized { 2 * $_[0] } List(Int);
                   # ^ magnify sizing guidance by factor of two
               my $gen2 = Sized { 10 } Int;
                   # ^ use constant guidance of 10

           Creates a generator that adjusts sizing guidance by passing it through the function
           fn. Then it calls the generator gen with the adjusted guidance and returns the result.

           Note: This combinator does not accept modifiers.

   Rolling your own generators
       You can create your own generators by creating any object that has a "generate" method.
       Your method should accept as its first argument sizing guidance size and, if it makes
       sense, adjust the complexity of the values it generates accordingly.

       The easiest way to create a generator is by using the magic function "Gen".  It promotes a
       block of code into a generator.  For example, here's a home-brew generator for times in
       ctime(3) format that is built on top of an Int generator:

         use Test::LectroTest::Generator qw( :common Gen );

         my $time_gen = Int(range=>[0, 2_147_483_647], sized=>0);
         my $ctime_gen = Gen {
             scalar localtime $time_gen->generate( @_ );
         };

         print($ctime_gen->generate($_), "\n") for 1..5;
         # Fri Jun  2 18:13:21 1978
         # Thu Mar 28 00:55:51 1974
         # Wed Mar 26 06:41:09 2025
         # Sun Sep 11 15:39:44 2016
         # Fri Dec 26 00:39:31 1975

       Alternatively, we could build the generator using the Apply combinator:

         my $ctime_gen2 = Apply { localtime $_[0] } $time_gen;

       Note: "Gen" is not exported into your code's namespace by default.  If you want to use it,
       you must import it by name or import ":all" when you use this module.

EXAMPLES

       Here are some examples to consider.

   Simple examples
        use strict;
        use Test::LectroTest::Generator qw(:common);

        show("Ints (sized by default)", Int);

        show("Floats (sized by default)", Float);

        show("Percentages (unsized)",
             Int( range=>[0,100], sized=>0 ));

        show("Lists (sized by default) of Ints (unsized) in [0,10]",
             List( Int( sized=>0, range=>[0,10] ) ));

        show("Uppercase-alpha identifiers at least 3 chars long",
             String( length=>[3,], charset=>"A-Z" ));

        show("Hashes (sized by default) of form AAA=>Digit",
             Hash( String( length=>3, charset=>"A-Z" ),
                   Int( sized=>0, range=>[0,9] ) ));

        sub show {
            print "\n", shift(), "\n";
            my ($gen) = @_;
            for (1..10) {
                my $val = $gen->generate($_);
                printf "Size %2d:  ", $_;
                if (ref $val eq "HASH") {
                    my @pairs = map {"$_=>$val->{$_}"} keys %$val;
                    print "{ @pairs }";
                }
                elsif (ref $val eq "ARRAY") {
                    print "[ @$val ]"
                }
                else {
                    print $val;
                }
                print "\n";
            }
        }

   Advanced examples
       For these examples we use "Data::Dumper" to inspect the data structures we generate.
       Also, we import not only the common generator constructors (like Int) but also the generic
       Gen constructor, which lets us build generators out of blocks on the fly.

           use Data::Dumper;
           use Test::LectroTest::Generator qw(:common Gen);

       First, here's a recipe for building a list of lists of integers:

           my $loloi_gen = List( List( Int(sized=>0) ) );
           print Dumper($loloi_gen->generate(10));

       You may want to run the example several times to get a feel for the distribution of the
       generated output.

       Now, a more complicated example.  Here we build sized trees of random depth using a
       recursive set of generators.

           my $tree_gen = do {
               my $density = 0.5;
               my $leaf_gen = Int( sized=>0 );
               my $tree_helper = \1;
               my $branch_gen = List( Gen { $$tree_helper->generate(@_) } );
               $tree_helper = \Gen {
                   my ($size) = @_;
                   return rand($size) < $density
                       ? $leaf_gen->generate($size)
                       : $branch_gen->generate($size + 1);
               };
               $$tree_helper;
           };

           print Dumper($tree_gen->generate(30));

       We define a tree as either a leaf or a branch, and we randomly decide between the two at
       each node in the growing tree.  Leaves are just integers and become more likely when the
       sizing guidance diminishes (which happens as we go deeper).  The code uses $density as a
       control knob for leaf density.  (Try re-running the above code after changing the value of
       $density.  Try 0, 1, and 2.)  Branches, on the other hand, are lists of trees.  Because
       branches generate trees, and trees generate branches, we use a reference trick to set up
       the mutually recursive relationship.  This we encapsulate within a do block for tidiness.

SEE ALSO

       Test::LectroTest gives a quick overview of automatic, specification-based testing with
       LectroTest.

AUTHOR

       Tom Moertel (tom@moertel.com)

INSPIRATION

       The LectroTest project was inspired by Haskell's QuickCheck module by Koen Claessen and
       John Hughes: http://www.cs.chalmers.se/~rjmh/QuickCheck/.

COPYRIGHT and LICENSE

       Copyright (c) 2004-13 by Thomas G Moertel.  All rights reserved.

       This program is free software; you can redistribute it and/or modify it under the same
       terms as Perl itself.