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#!/usr/bin/env perl
use strict;
use warnings;
use ntheory ":all";
use v5.20;
my $s = 0;
if(0) {
$s+= make_table(1, 15, 0, 9);
$s+= make_table(2, 30, 9, 39);
$s+= make_table(3, 60, 39, 63);
$s+= make_table(4, 300, 60, 120);
$s+= make_table(5, 30000, 120,3000);
}
if(0) {
$s+= make_table(1, 15, 0, 9);
$s+= make_table(2, 30, 9, 39);
$s+= make_table(3, 60, 39, 63);
$s+= make_table(4, 60, 63, 90);
$s+= make_table(5, 15000, 90,3000);
}
if(0) {
$s+= make_table(1, 5, 0, 1.5);
$s+= make_table(2, 15, 1.5, 12);
$s+= make_table(3, 30, 12, 39);
$s+= make_table(4, 30, 39, 66);
$s+= make_table(5, 60, 66, 90);
$s+= make_table(6, 30000, 90,3000);
}
if(1) {
# k M M
$s+= make_table(0, 3, 0, 0.30);
$s+= make_table(1, 6, 0.30, 3.0 );
$s+= make_table(2, 15, 3.0, 15 );
$s+= make_table(3, 30, 15, 42 );
$s+= make_table(4, 30, 42, 69 );
$s+= make_table(5, 60, 69, 90 );
$s+= make_table(6, 30000, 90, 3000 );
}
say "/* $s bytes */";
sub make_table {
my($name, $stepk, $start, $stop) = @_;
my $step = 1000 * $stepk;
$start *= 1_000_000;
$stop *= 1_000_000;
die "start must be less than stop" unless $start < $stop;
die "start must be divisible by step" unless ($start % $step) == 0;
die "stop must be divisible by step" unless ($stop % $step) == 0;
my $s = $start / $step;
my $pc = prime_count($start);
my $nsteps = ($stop - $start) / $step;
if ($start == 0) {
$s = 0;
$pc = prime_count(5);
}
my @c;
{
my($npc,$spc) = ($pc);
@c = map { ($spc,$npc) = ($npc, prime_count(($s+$_)*$step)); $npc-$spc; } 1 .. $nsteps;
}
my $min = vecmin(@c);
@c = map { $_-$min } @c;
my $max = vecmax(@c);
say "#define NSTEP_STEP_$name $step";
say "#define NSTEP_START_$name $start";
say "#define NSTEP_COUNT_$name $pc";
say "#define NSTEP_BASE_$name $min";
my $type = ($max <= 255) ? "char" : ($max <= 65535) ? "short" : "int";
say "static const unsigned $type step_counts_${name}[] =";
say "{",join(",",@c),"};";
say "#define NSTEP_NUM_$name (sizeof(step_counts_$name)/sizeof(step_counts_${name}[0]))";
say "";
return scalar(@c) * (($max <= 255) ? 1 : ($max <= 65535) ? 2 : 4);
}
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