From 479b8c4e7945e3e3a3f9c52158dc2a70279cba6d Mon Sep 17 00:00:00 2001 From: Charles McGarvey Date: Mon, 28 Nov 2016 01:21:36 -0700 Subject: [PATCH 1/1] initial commit --- .gitignore | 12 + .travis.yml | 20 ++ Changes | 4 + LICENSE | 379 ++++++++++++++++++++++++++++ README.md | 1 + bin/test-logical-equivalence | 81 ++++++ dist.ini | 9 + lib/Acme/Test/LogicalEquivalence.pm | 87 +++++++ t/01-universal-laws.t | 90 +++++++ 9 files changed, 683 insertions(+) create mode 100644 .gitignore create mode 100644 .travis.yml create mode 100644 Changes create mode 100644 LICENSE create mode 100644 README.md create mode 100755 bin/test-logical-equivalence create mode 100644 dist.ini create mode 100644 lib/Acme/Test/LogicalEquivalence.pm create mode 100644 t/01-universal-laws.t diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..a33a052 --- /dev/null +++ b/.gitignore @@ -0,0 +1,12 @@ +*.bs +*.o +*.tar* +*~ +/.build +/.perl-version +/Acme-Test-LogicalEquivalence-* +/MYMETA.* +/Makefile +/blib +/local* +/pm_to_blib diff --git a/.travis.yml b/.travis.yml new file mode 100644 index 0000000..c0fa429 --- /dev/null +++ b/.travis.yml @@ -0,0 +1,20 @@ +sudo: false +language: perl +perl: + - '5.24' + - '5.22' + - '5.20' + - '5.18' + - '5.16' + - '5.14' +matrix: + fast_finish: true +before_install: + - git config --global user.name "TravisCI" + - git config --global user.email $HOSTNAME":not-for-mail@travis-ci.org" +install: + - cpanm --quiet --notest --skip-satisfied Dist::Zilla + - "dzil authordeps --missing | grep -vP '[^\\w:]' | xargs -n 5 -P 10 cpanm --quiet --notest" + - "dzil listdeps --author --missing | grep -vP '[^\\w:]' | cpanm --verbose" +script: + - dzil smoke --release --author diff --git a/Changes b/Changes new file mode 100644 index 0000000..b621e9a --- /dev/null +++ b/Changes @@ -0,0 +1,4 @@ +Revision history for Acme-Test-LogicalEquivalence. + +{{$NEXT}} + diff --git a/LICENSE b/LICENSE new file mode 100644 index 0000000..1935df6 --- /dev/null +++ b/LICENSE @@ -0,0 +1,379 @@ +This software is copyright (c) 2016 by Charles McGarvey. + +This is free software; you can redistribute it and/or modify it under +the same terms as the Perl 5 programming language system itself. + +Terms of the Perl programming language system itself + +a) the GNU General Public License as published by the Free + Software Foundation; either version 1, or (at your option) any + later version, or +b) the "Artistic License" + +--- The GNU General Public License, Version 1, February 1989 --- + +This software is Copyright (c) 2016 by Charles McGarvey. + +This is free software, licensed under: + + The GNU General Public License, Version 1, February 1989 + + GNU GENERAL PUBLIC LICENSE + Version 1, February 1989 + + Copyright (C) 1989 Free Software Foundation, Inc. + 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA + + Everyone is permitted to copy and distribute verbatim copies + of this license document, but changing it is not allowed. + + Preamble + + The license agreements of most software companies try to keep users +at the mercy of those companies. 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Variables should be one or more of $a, $b, ..., $z', "\n"; + exit 2; +} + +# convert $a-style vars to $_[0]-style to support more than just $a and $b +$expr1 =~ s/\$([a-z])/'$_['.(ord($1) - 97).']'/ge; +$expr2 =~ s/\$([a-z])/'$_['.(ord($1) - 97).']'/ge; + +my $sub1 = eval "sub { $expr1 }" or die "Expression 1: $@\n"; ## no critic (ProhibitStringyEval) +my $sub2 = eval "sub { $expr2 }" or die "Expression 2: $@\n"; ## no critic (ProhibitStringyEval) + +plan tests => (2 ** $num); +note "Testing for logical equivalence of two expressions with $num variable(s)..."; + +my $equivalence = is_logically_equivalent($num, $sub1, $sub2); +note $equivalence ? 'Logical equivalence proved!' : 'Bummer...'; + diff --git a/dist.ini b/dist.ini new file mode 100644 index 0000000..60688e1 --- /dev/null +++ b/dist.ini @@ -0,0 +1,9 @@ + +name = Acme-Test-LogicalEquivalence +author = Charles McGarvey +copyright_holder = Charles McGarvey +copyright_year = 2016 +license = Perl_5 + +[@Author::CCM] + diff --git a/lib/Acme/Test/LogicalEquivalence.pm b/lib/Acme/Test/LogicalEquivalence.pm new file mode 100644 index 0000000..d1cfa32 --- /dev/null +++ b/lib/Acme/Test/LogicalEquivalence.pm @@ -0,0 +1,87 @@ +package Acme::Test::LogicalEquivalence; +# ABSTRACT: Test if expressions are logically equivalent +# KEYWORDS: test logic + +use 5.008; +use warnings; +use strict; + +our $VERSION = '999.999'; # VERSION + +use Exporter qw(import); +use Test::More; +use namespace::clean -except => [qw(import)]; + +our @EXPORT_OK = qw(is_logically_equivalent); + +=head1 SYNOPSIS + + use Test::More; + use Acme::Test::LogicalEquivalence qw(is_logically_equivalent); + + # test two expressions with 2 variables using the special vars $a and $b + is_logically_equivalent(2, sub { $a && $b }, sub { $b && $a }); + + # same as above + is_logically_equivalent(2, sub { $_[0] && $_[1] }, sub { $_[1] && $_[0] }); + + # you can do as many vars as you like + is_logically_equivalent(3, sub { $_[0] || ($_[1] && $_[2]) }, + sub { ($_[0] || $_[1]) && ($_[0] || $_[2]) }); + + done_testing; + +=head1 DESCRIPTION + +Some expressions are "logically equivalent" to other expressions, but it may not be easy to tell if +one or both of the expressions are reasonably complicated. Or maybe you're like many other people +and are too lazy to go through the effort... Either way, why not let your computer prove logical +equivalence for you? + +=head1 SEE ALSO + +=for :list +* What is logical equivalence? Start here: L + +=func is_logically_equivalent + +Test logical equivalence of two subroutines. + + my $is_equivalent = is_logically_equivalent($numvars, &sub1, &sub2); + +This will execute both of the subroutines one or more times (depending on how many variables you +specify) with different inputs. The subroutines shall be considered logically equivalent if, for all +combinations of inputs, they both return the same thing. + +Returns true if the subroutines are logically equivalent, false otherwise. + +=cut + +sub is_logically_equivalent { + my $numvars = shift; + my $sub1 = shift; + my $sub2 = shift; + + my $equivalence = 1; + + for (my $i = 0; $i < 2 ** $numvars; ++$i) { + my @vars = split(//, substr(unpack("B32", pack('N', $i)), -$numvars)); + + (local $a, local $b) = @vars; + my $r1 = !!$sub1->(@vars); + + (local $a, local $b) = @vars; + my $r2 = !!$sub2->(@vars); + + my $test = !($r1 xor $r2); + + my $args = join(', ', map { $_ ? 'T' : 'F' } @vars); + ok($test, "expr1($args) <=> expr2($args)"); + + $equivalence = '' if !$test; + } + + return $equivalence; +} + +1; diff --git a/t/01-universal-laws.t b/t/01-universal-laws.t new file mode 100644 index 0000000..4555fc5 --- /dev/null +++ b/t/01-universal-laws.t @@ -0,0 +1,90 @@ +#!perl + +use warnings; +use strict; + +use Test::More; + +use Acme::Test::LogicalEquivalence qw(is_logically_equivalent); + +note "Let's see if the universe still makes sense..."; + +note 'Identity laws'; +is_logically_equivalent 1, + sub { $a && 1 }, + sub { $a }; +is_logically_equivalent 1, + sub { $a || 0 }, + sub { $a }; + +note 'Domination laws'; +is_logically_equivalent 1, + sub { $a || 1 }, + sub { 1 }; +is_logically_equivalent 1, + sub { $a && 0 }, + sub { 0 }; + +note 'Idempotent laws'; +is_logically_equivalent 1, + sub { $a && $a }, + sub { $a }; +is_logically_equivalent 1, + sub { $a || $a }, + sub { $a }; + +note 'Double negation law'; +is_logically_equivalent 1, + sub { !!$a }, + sub { $a }; + +note 'Commutative laws'; +is_logically_equivalent 2, + sub { $a || $b }, + sub { $b || $a }; +is_logically_equivalent 2, + sub { $a && $b }, + sub { $b && $a }; + +note 'Associative laws'; +is_logically_equivalent 3, + sub { ($_[0] || $_[1]) || $_[2] }, + sub { $_[0] || ($_[1] || $_[2]) }; +is_logically_equivalent 3, + sub { ($_[0] && $_[1]) && $_[2] }, + sub { $_[0] && ($_[1] && $_[2]) }; + +note 'Distributive laws'; +is_logically_equivalent 3, + sub { $_[0] || ($_[1] && $_[2]) }, + sub { ($_[0] || $_[1]) && ($_[0] || $_[2]) }; +is_logically_equivalent 3, + sub { $_[0] && ($_[1] || $_[2]) }, + sub { ($_[0] && $_[1]) || ($_[0] && $_[2]) }; + +note 'De Morgan\'s laws'; +is_logically_equivalent 2, + sub { !($a && $b) }, + sub { !$a || !$b }; +is_logically_equivalent 2, + sub { !($a || $b) }, + sub { !$a && !$b }; + +note 'Absorption laws'; +is_logically_equivalent 2, + sub { $a || ($a && $b) }, + sub { $a }; +is_logically_equivalent 2, + sub { $a && ($a || $b) }, + sub { $a }; + +note 'Negation laws'; +is_logically_equivalent 1, + sub { $a || !$a }, + sub { 1 }; +is_logically_equivalent 1, + sub { $a && !$a }, + sub { 0 }; + +done_testing; + -- 2.45.2