NAME
Math::Bacovia::Fraction - Represents a symbolic fraction.
SYNOPSIS
use 5.014;
use Math::Bacovia qw(Fraction Symbol);
my $f = Fraction(Symbol('a'), Symbol('b'));
my $g = Fraction(Symbol('x'), Symbol('y'));
say (($f + $g)->pretty); #=> (((a * y) + (x * b))/(b * y))
METHODS
This section describes the methods provided by the Math::Bacovia::Fraction module.
new
my $obj = Math::Bacovia::Fraction->new($numerator, $denominator);
Constructs and returns a new Math::Bacovia::Fraction object.
get
my ($numerator, $denominator) = $obj->get;
Returns the internal values of the self-object.
add
$x + $y
$x->add($y)
Sum of x
and y
, using the identity:
a/b + c/d = (a*d + c*b) / (b*d)
sub
$x - $y
$x->sub($y)
Subtraction of y
from x
, using the identity:
a/b - c/d = (a*d - c*b) / (b*d)
mul
$x * $y
$x->mul($y)
Product of x
and y
, using the identity:
(a/b) * (c/d) = (a*c) / (b*d)
div
$x / $y
$x->div($y)
Division of x
by y
, using the identity:
(a/b) / (c/d) = (a*d) / (b*c)
inv
$x->inv
Multiplicative inverse of x
, using the identity:
1/(a/b) = b/a
eq
$x == $y
$x->eq($y)
Return a true value when x
and y
are symbolically equal.
SPECIAL METHODS
This section describes the special methods provided by the Math::Bacovia::Fraction module.
alternatives
my @alt = $obj->alternatives;
my @alt = $obj->alternatives(full => 1);
This method uses common mathematical identities to create symbolically equivalent expressions from the self-expression.
pretty
my $str = $obj->pretty;
Returns a human-readable stringification of the self-expression.
stringify
my $str = $obj->stringify;
Returns a stringification of the self-expression.
numeric
my $num = $obj->numeric;
Evaluates the self-expression numerically and returns a Math::AnyNum object.
SEE ALSO
The other parts of Math::Bacovia:
AUTHOR
Daniel Șuteu, <trizen at protonmail.com>
BUGS
Please report any bugs or feature requests to https://github.com/trizen/Math-Bacovia. I will be notified, and then you'll automatically be notified of progress on your bug as I make changes.
SUPPORT
You can find documentation for this module with the perldoc command.
perldoc Math::Bacovia::Fraction
You can also look for information at:
AnnoCPAN: Annotated CPAN documentation
CPAN Ratings
Search CPAN
GitHub
LICENSE AND COPYRIGHT
Copyright 2017-2018 Daniel Șuteu.
This program is free software; you can redistribute it and/or modify it under the terms of the the Artistic License (2.0). You may obtain a copy of the full license at:
http://www.perlfoundation.org/artistic_license_2_0
Any use, modification, and distribution of the Standard or Modified Versions is governed by this Artistic License. By using, modifying or distributing the Package, you accept this license. Do not use, modify, or distribute the Package, if you do not accept this license.
If your Modified Version has been derived from a Modified Version made by someone other than you, you are nevertheless required to ensure that your Modified Version complies with the requirements of this license.
This license does not grant you the right to use any trademark, service mark, tradename, or logo of the Copyright Holder.
This license includes the non-exclusive, worldwide, free-of-charge patent license to make, have made, use, offer to sell, sell, import and otherwise transfer the Package with respect to any patent claims licensable by the Copyright Holder that are necessarily infringed by the Package. If you institute patent litigation (including a cross-claim or counterclaim) against any party alleging that the Package constitutes direct or contributory patent infringement, then this Artistic License to you shall terminate on the date that such litigation is filed.
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