#!/usr/bin/env perl
use strict;
use warnings;
use Math::Prime::Util qw/:all/;
use Time::HiRes qw(gettimeofday tv_interval);
$| = 1; # fast pipes
my $mpu_limit = shift || 50_000_000;
my $mp_limit = shift || 20_000;
# 1. forprimes does a segmented sieve and calls us for each prime. This is
# independent of is_prime and the main sieve. So for each entry let's
# compare next_prime and prev_prime.
{
print "Using MPU forprimes to $mpu_limit\n";
my $start_time = [gettimeofday];
my $nextprint = 5000000;
my $n = 0;
forprimes {
die "next $n not $_" unless next_prime($n) == $_;
die "prev $n" unless prev_prime($_) == $n;
$n = $_;
if ($n > $nextprint) { print "$n.."; $nextprint += 5000000; }
} $mpu_limit;
my $seconds = tv_interval($start_time);
my $micro_per_call = ($seconds * 1000000) / (2*prime_count($mpu_limit));
printf "\nSuccess using forprimes to $mpu_limit. %6.2f uSec/call\n", $micro_per_call;
}
print "\n";
# 2. Just like before, but now we'll call prime_precalc first. This makes the
# prev_prime and next_prime functions really fast since they just look in
# the cached sieve.
{
print "Using MPU forprimes to $mpu_limit with prime_precalc\n";
my $start_time = [gettimeofday];
prime_precalc($mpu_limit);
my $nextprint = 5000000;
my $n = 0;
forprimes {
die "next $n not $_" unless next_prime($n) == $_;
die "prev $n" unless prev_prime($_) == $n;
$n = $_;
if ($n > $nextprint) { print "$n.."; $nextprint += 5000000; }
} $mpu_limit;
my $seconds = tv_interval($start_time);
my $micro_per_call = ($seconds * 1000000) / (2*prime_count($mpu_limit));
printf "\nSuccess using forprimes/precalc to $mpu_limit. %6.2f uSec/call\n", $micro_per_call;
}
print "\n";
# 3. Now we'll use Math::Primality to compare next_prime, prev_prime, and
# is_prime.
{
require Math::Primality;
print "Using Math::Primality to $mp_limit\n";
my $start_time = [gettimeofday];
foreach my $n (0 .. $mp_limit) {
die "next $n" unless next_prime($n) == Math::Primality::next_prime($n);
if ($n <= 2) {
die "prev $n" unless prev_prime($n) == 0;
} else {
die "prev $n" unless prev_prime($n) == Math::Primality::prev_prime($n);
}
die "is $n" unless is_prime($n) == Math::Primality::is_prime($n);
print "$n.." unless $n % 10000;
}
my $seconds = tv_interval($start_time);
my $micro_per_call = ($seconds * 1000000) / (6*prime_count($mp_limit));
printf "\nSuccess using Math::Primality to $mp_limit. %6.2f uSec/call\n", $micro_per_call;
}