VERSION
version 2.11SYNOPSIS
use Math::GMP;
my $n = Math::GMP>new('2');
$n = $n ** (256*1024);
$n = $n  1;
print "n is now $n\n";
DESCRIPTION
Math::GMP was designed to be a dropin replacement both for Math::BigInt and for regular integer arithmetic. Unlike BigInt, though, Math::GMP uses the GNU gmp library for all of its calculations, as opposed to straight Perl functions. This can result in speed improvements.The downside is that this module requires a C compiler to install  a small tradeoff in most cases. Also, this module is not 100% compatible with Math::BigInt.
A Math::GMP object can be used just as a normal numeric scalar would be  the module overloads most of the normal arithmetic operators to provide as seamless an interface as possible. However, if you need a perfect interface, you can do the following:
use Math::GMP qw(:constant); $n = 2 ** (256 * 1024); print "n is $n\n";
This would fail without the ':constant' since Perl would use normal doubles to compute the 250,000 bit number, and thereby overflow it into meaninglessness (smaller exponents yield less accurate data due to floating point rounding).
METHODS
Although the nonoverload interface is not complete, the following functions do exist:new
$x = Math::GMP>new(123);
Creates a new Math::GMP object from the passed string or scalar.
$x = Math::GMP>new('abcd', 36);
Creates a new Math::GMP object from the first parameter which should be represented in the base specified by the second parameter.
bfac
$x = Math::GMP>new(5); my $val = $x>bfac(); # 1*2*3*4*5 = 120 print $val;
Calculates the factorial of $x and returns the result.
my $val = $x>band($y, $swap)
$x = Math::GMP>new(6); my $val = $x>band(3, 0); # 0b110 & 0b11 = 1 print $val;
Calculates the bitwise AND of its two arguments and returns the result. $swap should be provided but is ignored.
my $ret = $x>bxor($y, $swap);
$x = Math::GMP>new(6); my $val = $x>bxor(3, 0); # 0b110 ^ 0b11 = 0b101 print $val;
Calculates the bitwise XOR of its two arguments and returns the result.
my $ret = $x>bior($y, $swap);
$x = Math::GMP>new(6); my $val = $x>bior(3); # 0b110  0b11 = 0b111 print $val;
Calculates the bitwise OR of its two arguments and returns the result.
blshift
$x = Math::GMP>new(0b11); my $result = $x>blshift(4, 0); # $result = 0b11 << 4 = 0b110000
Calculates the bitwise leftshift of its two arguments and returns the result. Second argument is swap.
brshift
$x = Math::GMP>new(0b11001); my $result = $x>brshift(3, 0); # $result = 0b11001 << 3 = 0b11
Calculates the bitwise rightshift of its two arguments and returns the result. Second argument is swap.
bgcd
my $x = Math::GMP>new(6); my $gcd = $x>bgcd(4); # 6 / 2 = 3, 4 / 2 = 2 => 2 print $gcd
Returns the Greatest Common Divisor of the two arguments.
blcm
my $x = Math::GMP>new(6); my $lcm = $x>blcm(4); # 6 * 2 = 12, 4 * 3 = 12 => 12 print $lcm;
Returns the Least Common Multiple of the two arguments.
bmodinv
my $x = Math::GMP>new(5); my $modinv = $x>bmodinv(7); # 5 * 3 == 1 (mod 7) => 3 print $modinv;
Returns the modular inverse of $x (mod $y), if defined. This currently returns 0 if there is no inverse (but that may change in the future). Behaviour is undefined when $y is 0.
bsqrt
my $x = Math::GMP>new(6); my $root = $x>bsqrt(); # int(sqrt(6)) => 2 print $root;
Returns the integer square root of its argument.
legendre
$x = Math::GMP>new(6); my $ret = $x>legendre(3);
Returns the value of the Legendre symbol ($x/$y). The value is defined only when $y is an odd prime; when the value is not defined, this currently returns 0 (but that may change in the future).
jacobi
my $x = Math::GMP>new(6); my $jacobi_verdict = $x>jacobi(3);
Returns the value of the Jacobi symbol ($x/$y). The value is defined only when $y is odd; when the value is not defined, this currently returns 0 (but that may change in the future).
fibonacci
my $fib = Math::GMP::fibonacci(16);
Calculates the n'th number in the Fibonacci sequence.
probab_prime
my $x = Math::GMP>new(7); my $is_prime_verdict = $x>probab_prime(10);
Probabilistically determines if the number is a prime. Argument is the number of checks to perform. Returns 0 if the number is definitely not a prime, 1 if it may be, and 2 if it definitely is a prime.
$x>add_ui_gmp($n)
Adds to $x and mutates it inplace. $n must be a regular nonGMP, positive, integer.($quotient, $remainder) = $x>bdiv($y);
my $x = Math::GMP>new(7); my ($quo, $rem) = $x>bdiv(3);
Returns both the division and the modulo of an integer division operation.
my $ret = $x>div_2exp_gmp($n);
my $x = Math::GMP>new(200); my $ret = $x>div_2exp_gmp(2);
Returns a rightshift of the Math::GMP object by an unsigned regular integer. Also look at blshift() .
my $str = $x>get_str_gmp($base)
my $init_n = 3 * 7 + 2 * 7 * 7 + 6 * 7 * 7 * 7; my $x = Math::GMP>new($init_n); my $ret = $x>get_str_gmp(7); print $ret; # Prints "6230".
Returns a string representation of the number in base $base.
my $clone = $x>gmp_copy()
Returns a copy of $x that can be modified without affecting the original.my $verdict = $x>gmp_tstbit($bit_index);
Returns whether or not bit No. $bit_index is 1 in $x.my $remainder = $dividend>mmod_gmp($divisor)
my $x = Math::GMP>new(2 . ('0' x 200) . 4); my $y = Math::GMP>new(5); my $ret = $x>mmod_gmp($y); # $ret is now Math::GMP of 4.
From the GMP documentation:
Divide dividend and divisor and put the remainder in remainder. The remainder is always positive, and its value is less than the value of the divisor.
my $result = $x>mod_2exp_gmp($shift);
my $x = Math::GMP>new(0b10001011); my $ret = $x>mod_2exp_gmp(4); # $ret is now Math::GMP of 0b1011
Returns a Math::GMP object containing the lower $shift bits of $x (while not modifying $x).
my $left_shifted = $x>mul_2exp_gmp($shift);
my $x = Math::GMP>new(0b10001011); my $ret = $x>mul_2exp_gmp(4); # $ret is now Math::GMP of 0b1000_1011_0000
Returns a Math::GMP object containing $x shifted by $shift bits (where $shift is a plain integer).
my $ret = $base>powm_gmp($exp, $mod);
my $base = Math::GMP>new(157); my $exp = Math::GMP>new(100); my $mod = Math::GMP>new(5013); my $ret = $base>powm_gmp($exp, $mod); # $ret is now (($base ** $exp) % $mod)
Returns $base raised to the power of $exp modulo $mod.
my $plain_int_ret = $x>sizeinbase_gmp($plain_int_base);
Returns the size of $x in base $plain_int_base .my $int = $x>intify();
Returns the value of the object as an unblessed (and limitedinprecision) integer.gcd()
An alias to bgcd() .lcm()
An alias to blcm() .constant
For internal use. Do not use directly.destroy
For internal use. Do not use directly.new_from_scalar
For internal use. Do not use directly.new_from_scalar_with_base
For internal use. Do not use directly.op_add
For internal use. Do not use directly.op_div
For internal use. Do not use directly.op_eq
For internal use. Do not use directly.op_mod
For internal use. Do not use directly.op_mul
For internal use. Do not use directly.op_pow
For internal use. Do not use directly.op_spaceship
For internal use. Do not use directly.op_sub
For internal use. Do not use directly.stringify
For internal use. Do not use directly.uintify
For internal use. Do not use directly.BUGS
As of version 1.0, Math::GMP is mostly compatible with the old Math::BigInt version. It is not a full replacement for the rewritten Math::BigInt versions, though. See the SEE ALSO section on how to achieve to use Math::GMP and retain full compatibility to Math::BigInt.There are some slight incompatibilities, such as output of positive numbers not being prefixed by a '+' sign. This is intentional.
There are also some things missing, and not everything might work as expected.
VERSION CONTROL
The version control repository of this module is a git repository hosted on GitHub at: <https://github.com/turnstep/MathGMP>. Pull requests are welcome.AUTHOR
Chip Turner <[email protected]>, based on the old Math::BigInt by Mark Biggar and Ilya Zakharevich. Further extensive work provided by Tels <[email protected]>.AUTHOR
Shlomi Fish <[email protected]>COPYRIGHT AND LICENSE
This software is Copyright (c) 2000 by James H. Turner.This is free software, licensed under:
The GNU Lesser General Public License, Version 2.1, February 1999
BUGS
Please report any bugs or feature requests on the bugtracker website https://rt.cpan.org/Public/Dist/Display.html?Name=MathGMP or by email to [email protected].When submitting a bug or request, please include a testfile or a patch to an existing testfile that illustrates the bug or desired feature.
SUPPORT
Perldoc
You can find documentation for this module with the perldoc command.
perldoc Math::GMP
Websites
The following websites have more information about this module, and may be of help to you. As always, in addition to those websites please use your favorite search engine to discover more resources.
MetaCPAN
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Search CPAN
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RT: CPAN's Bug Tracker
The RT ( Request Tracker ) website is the default bug/issue tracking system for CPAN.
<https://rt.cpan.org/Public/Dist/Display.html?Name=MathGMP>

AnnoCPAN
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CPAN Forum
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Bugs / Feature Requests
Please report any bugs or feature requests by email to "bugmathgmp at rt.cpan.org", or through the web interface at <https://rt.cpan.org/Public/Bug/Report.html?Queue=MathGMP>. You will be automatically notified of any progress on the request by the system.Source Code
The code is open to the world, and available for you to hack on. Please feel free to browse it and play with it, or whatever. If you want to contribute patches, please send me a diff or prod me to pull from your repository :)<https://github.com/turnstep/perlMathGMP>
git clone https://github.com/turnstep/perlMathGMP.git