#!/usr/bin/env perl
use strict;
use warnings;
use Math::Primality;
use Math::Prime::XS;
use Math::Prime::Util;
use Math::Prime::Util::GMP;
use Math::BigInt try=>"GMP,Pari";
#use Math::Prime::FastSieve;
use Benchmark qw/:all/;
use List::Util qw/min max/;
my $count = shift || -5;
srand(29);
test_at_digits($_) for (5..18);
sub test_at_digits {
my $digits = shift;
die "Digits must be > 0" unless $digits > 0;
my @nums = ndigit_rand($digits, 1000);
my $min_num = min @nums;
my $max_num = max @nums;
#my $sieve = Math::Prime::FastSieve::Sieve->new(10 ** $magnitude + 1);
#Math::Prime::Util::prime_precalc(10 ** $magnitude + 1);
print "miller_rabin for 1000 random $digits-digit numbers ($min_num - $max_num)\n";
cmpthese($count,{
'MPU' => sub { Math::Prime::Util::is_strong_pseudoprime($_,2,3,5,7,11,13,17) for @nums },
'MPU GMP' => sub { Math::Prime::Util::GMP::is_strong_pseudoprime($_,2,3,5,7,11,13,17) for @nums },
'M:Primality' => sub { for (@nums) {
Math::Primality::is_strong_pseudoprime($_,2) &&
Math::Primality::is_strong_pseudoprime($_,3) &&
Math::Primality::is_strong_pseudoprime($_,5) &&
Math::Primality::is_strong_pseudoprime($_,7) &&
Math::Primality::is_strong_pseudoprime($_,11) &&
Math::Primality::is_strong_pseudoprime($_,13) &&
Math::Primality::is_strong_pseudoprime($_,17); } },
});
print "\n";
}
use Bytes::Random::Secure qw/random_string_from/;
sub ndigit_rand {
my($digits, $howmany) = @_;
die "digits must be > 0" if $digits < 1;
$howmany = 1 unless defined $howmany;
my @nums = map { random_string_from("123456789",1) . random_string_from("0123456789",$digits-1) } 1 .. $howmany;
@nums = map { Math::BigInt->new($_) } @nums if 10**$digits > ~0;
return @nums;
}