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|
#!perl
use strict;
use warnings;
use Test::More tests => 48;
BEGIN {
use_ok('Math::Symbolic');
}
if ($ENV{TEST_YAPP_PARSER}) {
require Math::Symbolic::Parser::Yapp;
$Math::Symbolic::Parser = Math::Symbolic::Parser::Yapp->new();
}
use Math::Symbolic qw/:all/;
use Math::Symbolic::ExportConstants qw/:all/;
my $x = Math::Symbolic::parse_from_string('1');
ok( $x->is_constant(), 'is_constant true for constants' );
$x = Math::Symbolic::parse_from_string('a');
ok( !$x->is_constant(), 'is_constant false for vars' );
$x = Math::Symbolic::parse_from_string('1+1/5*log(2,3)^5');
ok( $x->is_constant(), 'is_constant true for constant expressions' );
$x = Math::Symbolic::parse_from_string('1+1/5*log(2,a)^5');
ok( !$x->is_constant(), 'is_constant false for non-constant expressions' );
$x =
Math::Symbolic::parse_from_string('partial_derivative(1+1/5*log(2,2)^5-a,a)');
ok( $x->is_constant(),
'is_constant true for expressions that become constant after del/delx' );
$x =
Math::Symbolic::parse_from_string('total_derivative(1+1/5*log(2,2)^5-a,a)');
ok( $x->is_constant(),
'is_constant true for expressions that become constant after d/dx' );
$x =
Math::Symbolic::parse_from_string(
'total_derivative(b(a)+1/5*log(2,2)^5-a,a)');
ok( !$x->is_constant(),
'is_constant true for expressions that become constant after d/dx' );
$x = Math::Symbolic::parse_from_string('a');
ok( !$x->is_integer(), 'is_integer false for vars' );
$x = Math::Symbolic::parse_from_string('1.5');
ok( !$x->is_integer(), 'is_integer false for fractions' );
$x = Math::Symbolic::parse_from_string('2000');
ok( $x->is_integer(), 'is_integer true for integers' );
$x = Math::Symbolic::parse_from_string('0');
ok( $x->is_integer(), 'is_integer true for zero' );
$x = Math::Symbolic::parse_from_string('2000*2000');
ok( !$x->is_integer(), 'is_integer false for operators' );
$x = Math::Symbolic::parse_from_string('1');
ok( $x->is_sum(), 'is_sum true for constant' );
$x = Math::Symbolic::parse_from_string('1+2');
ok( $x->is_sum(), 'is_sum true for constant sum' );
$x = Math::Symbolic::parse_from_string('1*a');
ok( $x->is_sum(), 'is_sum true for constant times variable' );
$x = Math::Symbolic::parse_from_string('1*a');
ok( $x->is_sum(), 'is_sum true for integer constant times variable' );
$x = Math::Symbolic::parse_from_string('1.5*a');
ok( !$x->is_sum(), 'is_sum false for non-integer constant times variable' );
$x = Math::Symbolic::parse_from_string('1*a+(-b)-3*sin(2)');
ok( $x->is_sum(), 'is_sum true for sum of variables and constant terms' );
$x =
Math::Symbolic::parse_from_string(
'partial_derivative(10*a^2+(-1/b)-3*sin(2),a)');
ok( $x->is_sum(), 'is_sum true for del/delx that evaluates to a sum' );
my $y =
Math::Symbolic::parse_from_string(
'partial_derivative(10*a^2+(-1/b(x))-3*sin(2),a)');
$x =
Math::Symbolic::parse_from_string(
'partial_derivative(10*a^2+(-1/b(x))-3*sin(2),a)');
ok( $x->is_identical($y), 'is_identical true involved term' );
$y =
Math::Symbolic::parse_from_string(
'total_derivative(10*a^2+(-1/b(x))-3*sin(c(d,f,g,i,a)-2),a)');
$x =
Math::Symbolic::parse_from_string(
'total_derivative(10*a^2+(-1/b(x))-3*sin(c(d,f,g,i,a)-2),a)');
ok( $x->is_identical($y), 'is_identical true involved term' );
$y =
Math::Symbolic::parse_from_string(
'total_derivative(10*a^2+(-1/b(a))-3*sin(2),a)');
$x =
Math::Symbolic::parse_from_string(
'total_derivative(10*a^2+(-1/b(x))-3*sin(2),a)');
ok( !$x->is_identical($y),
'is_identical false involved term differing in signature' );
$y =
Math::Symbolic::parse_from_string(
'total_derivative(10*a^2+(-2/b(x))-3*sin(2),a)');
$x =
Math::Symbolic::parse_from_string(
'total_derivative(10*a^2+(-1/b(x))-3*sin(2),a)');
ok( !$x->is_identical($y),
'is_identical false involved term differing in constant' );
$y =
Math::Symbolic::parse_from_string(
'total_derivative(10*x^2+(-1/b(x))-3*sin(2),a)');
$x =
Math::Symbolic::parse_from_string(
'total_derivative(10*a^2+(-1/b(x))-3*sin(2),a)');
ok( !$x->is_identical($y),
'is_identical false involved term differing in variable' );
$y =
Math::Symbolic::parse_from_string(
'total_derivative(10*a^2+(-1*b(x))-3*sin(2),a)');
$x =
Math::Symbolic::parse_from_string(
'total_derivative(10*a^2+(-1/b(x))-3*sin(2),a)');
ok( !$x->is_identical($y),
'is_identical false involved term differing in operator' );
ok(
(
$x->can('descend')
and defined( ref( $x->can('descend') ) )
and ref( $x->can('descend') ) eq 'CODE'
),
'can() returns code ref for builtin method.'
);
ok(
(
$x->can('is_constant')
and defined( ref( $x->can('is_constant') ) )
and ref( $x->can('is_constant') ) eq 'CODE'
),
'can() returns code ref for delegated method.'
);
ok( !$x->can('bdasjkhdsajhdsakasjlh'),
'can() returns false for non-existant builtin method.' );
ok( !$x->can('is_ashdgsajhgdasjhg'),
'can() returns false for non-existant delegated method.' );
ok( parse_from_string('x*y')->is_identical_base('x*y'),
'is_identical_base trivial' );
ok( parse_from_string('(x*y)^2')->is_identical_base('x*y'),
'is_identical_base simple' );
ok( parse_from_string('(x*y)^(a*b)')->is_identical_base('x*y'),
'more is_identical_base tests' );
ok( parse_from_string('(x*y)^(a*b)')->is_identical_base('(x*y)^3'),
'more is_identical_base tests' );
ok( parse_from_string('(x*y^3)')->is_identical_base('(x*y^3)^3'),
'more is_identical_base tests' );
ok( not( parse_from_string('(y)^(a*b)')->is_identical_base('(x*y)^3') ),
'more is_identical_base tests' );
ok( parse_from_string('1')->is_one(), '1 is_one' );
ok( !parse_from_string('0')->is_one(), '!0 is_one' );
ok( !parse_from_string('4-3')->is_one(), '!4-3 is_one' );
ok( !parse_from_string('a')->is_one(), '!a is_one' );
ok( !parse_from_string('1')->is_zero(), '!1 is_zero' );
ok( parse_from_string('0')->is_zero(), '!0 is_zero' );
ok( !parse_from_string('4-4')->is_zero(), '!4-4 is_zero' );
ok( !parse_from_string('a')->is_zero(), '!a is_zero' );
ok( parse_from_string('1')->is_zero_or_one(), '1 is_zero_or_one' );
ok( parse_from_string('0')->is_zero_or_one(), '0 is_zero_or_one' );
ok( !parse_from_string('4-4')->is_zero_or_one(), '!4-4 is_zero_or_one' );
ok( !parse_from_string('a')->is_zero_or_one(), '!a is_zero_or_one' );
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