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- #!/usr/bin/perl
- # -----------------------------------------------------------------------
- #
- # Copyright 2007-2008 rPath, Inc. - All Rights Reserved
- #
- # This file is part of the Linux kernel, and is made available under
- # the terms of the GNU General Public License version 2 or (at your
- # option) any later version; incorporated herein by reference.
- #
- # -----------------------------------------------------------------------
- #
- #
- # Usage: timeconst.pl HZ > timeconst.h
- #
- # Precomputed values for systems without Math::BigInt
- # Generated by:
- # timeconst.pl --can 24 32 48 64 100 122 128 200 250 256 300 512 1000 1024 1200
- %canned_values = (
- 24 => [
- '0xa6aaaaab','0x2aaaaaa',26,
- 125,3,
- '0xc49ba5e4','0x1fbe76c8b4',37,
- 3,125,
- '0xa2c2aaab','0xaaaa',16,
- 125000,3,
- '0xc9539b89','0x7fffbce4217d',47,
- 3,125000,
- ], 32 => [
- '0xfa000000','0x6000000',27,
- 125,4,
- '0x83126e98','0xfdf3b645a',36,
- 4,125,
- '0xf4240000','0x0',17,
- 31250,1,
- '0x8637bd06','0x3fff79c842fa',46,
- 1,31250,
- ], 48 => [
- '0xa6aaaaab','0x6aaaaaa',27,
- 125,6,
- '0xc49ba5e4','0xfdf3b645a',36,
- 6,125,
- '0xa2c2aaab','0x15555',17,
- 62500,3,
- '0xc9539b89','0x3fffbce4217d',46,
- 3,62500,
- ], 64 => [
- '0xfa000000','0xe000000',28,
- 125,8,
- '0x83126e98','0x7ef9db22d',35,
- 8,125,
- '0xf4240000','0x0',18,
- 15625,1,
- '0x8637bd06','0x1fff79c842fa',45,
- 1,15625,
- ], 100 => [
- '0xa0000000','0x0',28,
- 10,1,
- '0xcccccccd','0x733333333',35,
- 1,10,
- '0x9c400000','0x0',18,
- 10000,1,
- '0xd1b71759','0x1fff2e48e8a7',45,
- 1,10000,
- ], 122 => [
- '0x8325c53f','0xfbcda3a',28,
- 500,61,
- '0xf9db22d1','0x7fbe76c8b',35,
- 61,500,
- '0x8012e2a0','0x3ef36',18,
- 500000,61,
- '0xffda4053','0x1ffffbce4217',45,
- 61,500000,
- ], 128 => [
- '0xfa000000','0x1e000000',29,
- 125,16,
- '0x83126e98','0x3f7ced916',34,
- 16,125,
- '0xf4240000','0x40000',19,
- 15625,2,
- '0x8637bd06','0xfffbce4217d',44,
- 2,15625,
- ], 200 => [
- '0xa0000000','0x0',29,
- 5,1,
- '0xcccccccd','0x333333333',34,
- 1,5,
- '0x9c400000','0x0',19,
- 5000,1,
- '0xd1b71759','0xfff2e48e8a7',44,
- 1,5000,
- ], 250 => [
- '0x80000000','0x0',29,
- 4,1,
- '0x80000000','0x180000000',33,
- 1,4,
- '0xfa000000','0x0',20,
- 4000,1,
- '0x83126e98','0x7ff7ced9168',43,
- 1,4000,
- ], 256 => [
- '0xfa000000','0x3e000000',30,
- 125,32,
- '0x83126e98','0x1fbe76c8b',33,
- 32,125,
- '0xf4240000','0xc0000',20,
- 15625,4,
- '0x8637bd06','0x7ffde7210be',43,
- 4,15625,
- ], 300 => [
- '0xd5555556','0x2aaaaaaa',30,
- 10,3,
- '0x9999999a','0x1cccccccc',33,
- 3,10,
- '0xd0555556','0xaaaaa',20,
- 10000,3,
- '0x9d495183','0x7ffcb923a29',43,
- 3,10000,
- ], 512 => [
- '0xfa000000','0x7e000000',31,
- 125,64,
- '0x83126e98','0xfdf3b645',32,
- 64,125,
- '0xf4240000','0x1c0000',21,
- 15625,8,
- '0x8637bd06','0x3ffef39085f',42,
- 8,15625,
- ], 1000 => [
- '0x80000000','0x0',31,
- 1,1,
- '0x80000000','0x0',31,
- 1,1,
- '0xfa000000','0x0',22,
- 1000,1,
- '0x83126e98','0x1ff7ced9168',41,
- 1,1000,
- ], 1024 => [
- '0xfa000000','0xfe000000',32,
- 125,128,
- '0x83126e98','0x7ef9db22',31,
- 128,125,
- '0xf4240000','0x3c0000',22,
- 15625,16,
- '0x8637bd06','0x1fff79c842f',41,
- 16,15625,
- ], 1200 => [
- '0xd5555556','0xd5555555',32,
- 5,6,
- '0x9999999a','0x66666666',31,
- 6,5,
- '0xd0555556','0x2aaaaa',22,
- 2500,3,
- '0x9d495183','0x1ffcb923a29',41,
- 3,2500,
- ]
- );
- $has_bigint = eval 'use Math::BigInt qw(bgcd); 1;';
- sub bint($)
- {
- my($x) = @_;
- return Math::BigInt->new($x);
- }
- #
- # Constants for division by reciprocal multiplication.
- # (bits, numerator, denominator)
- #
- sub fmul($$$)
- {
- my ($b,$n,$d) = @_;
- $n = bint($n);
- $d = bint($d);
- return scalar (($n << $b)+$d-bint(1))/$d;
- }
- sub fadj($$$)
- {
- my($b,$n,$d) = @_;
- $n = bint($n);
- $d = bint($d);
- $d = $d/bgcd($n, $d);
- return scalar (($d-bint(1)) << $b)/$d;
- }
- sub fmuls($$$) {
- my($b,$n,$d) = @_;
- my($s,$m);
- my($thres) = bint(1) << ($b-1);
- $n = bint($n);
- $d = bint($d);
- for ($s = 0; 1; $s++) {
- $m = fmul($s,$n,$d);
- return $s if ($m >= $thres);
- }
- return 0;
- }
- # Generate a hex value if the result fits in 64 bits;
- # otherwise skip.
- sub bignum_hex($) {
- my($x) = @_;
- my $s = $x->as_hex();
- return (length($s) > 18) ? undef : $s;
- }
- # Provides mul, adj, and shr factors for a specific
- # (bit, time, hz) combination
- sub muladj($$$) {
- my($b, $t, $hz) = @_;
- my $s = fmuls($b, $t, $hz);
- my $m = fmul($s, $t, $hz);
- my $a = fadj($s, $t, $hz);
- return (bignum_hex($m), bignum_hex($a), $s);
- }
- # Provides numerator, denominator values
- sub numden($$) {
- my($n, $d) = @_;
- my $g = bgcd($n, $d);
- return ($n/$g, $d/$g);
- }
- # All values for a specific (time, hz) combo
- sub conversions($$) {
- my ($t, $hz) = @_;
- my @val = ();
- # HZ_TO_xx
- push(@val, muladj(32, $t, $hz));
- push(@val, numden($t, $hz));
- # xx_TO_HZ
- push(@val, muladj(32, $hz, $t));
- push(@val, numden($hz, $t));
- return @val;
- }
- sub compute_values($) {
- my($hz) = @_;
- my @val = ();
- my $s, $m, $a, $g;
- if (!$has_bigint) {
- die "$0: HZ == $hz not canned and ".
- "Math::BigInt not available\n";
- }
- # MSEC conversions
- push(@val, conversions(1000, $hz));
- # USEC conversions
- push(@val, conversions(1000000, $hz));
- return @val;
- }
- sub outputval($$)
- {
- my($name, $val) = @_;
- my $csuf;
- if (defined($val)) {
- if ($name !~ /SHR/) {
- $val = "U64_C($val)";
- }
- printf "#define %-23s %s\n", $name.$csuf, $val.$csuf;
- }
- }
- sub output($@)
- {
- my($hz, @val) = @_;
- my $pfx, $bit, $suf, $s, $m, $a;
- print "/* Automatically generated by kernel/timeconst.pl */\n";
- print "/* Conversion constants for HZ == $hz */\n";
- print "\n";
- print "#ifndef KERNEL_TIMECONST_H\n";
- print "#define KERNEL_TIMECONST_H\n";
- print "\n";
- print "#include <linux/param.h>\n";
- print "#include <linux/types.h>\n";
- print "\n";
- print "#if HZ != $hz\n";
- print "#error \"kernel/timeconst.h has the wrong HZ value!\"\n";
- print "#endif\n";
- print "\n";
- foreach $pfx ('HZ_TO_MSEC','MSEC_TO_HZ',
- 'HZ_TO_USEC','USEC_TO_HZ') {
- foreach $bit (32) {
- foreach $suf ('MUL', 'ADJ', 'SHR') {
- outputval("${pfx}_$suf$bit", shift(@val));
- }
- }
- foreach $suf ('NUM', 'DEN') {
- outputval("${pfx}_$suf", shift(@val));
- }
- }
- print "\n";
- print "#endif /* KERNEL_TIMECONST_H */\n";
- }
- # Pretty-print Perl values
- sub perlvals(@) {
- my $v;
- my @l = ();
- foreach $v (@_) {
- if (!defined($v)) {
- push(@l, 'undef');
- } elsif ($v =~ /^0x/) {
- push(@l, "\'".$v."\'");
- } else {
- push(@l, $v.'');
- }
- }
- return join(',', @l);
- }
- ($hz) = @ARGV;
- # Use this to generate the %canned_values structure
- if ($hz eq '--can') {
- shift(@ARGV);
- @hzlist = sort {$a <=> $b} (@ARGV);
- print "# Precomputed values for systems without Math::BigInt\n";
- print "# Generated by:\n";
- print "# timeconst.pl --can ", join(' ', @hzlist), "\n";
- print "\%canned_values = (\n";
- my $pf = "\t";
- foreach $hz (@hzlist) {
- my @values = compute_values($hz);
- print "$pf$hz => [\n";
- while (scalar(@values)) {
- my $bit;
- foreach $bit (32) {
- my $m = shift(@values);
- my $a = shift(@values);
- my $s = shift(@values);
- print "\t\t", perlvals($m,$a,$s), ",\n";
- }
- my $n = shift(@values);
- my $d = shift(@values);
- print "\t\t", perlvals($n,$d), ",\n";
- }
- print "\t]";
- $pf = ', ';
- }
- print "\n);\n";
- } else {
- $hz += 0; # Force to number
- if ($hz < 1) {
- die "Usage: $0 HZ\n";
- }
- @val = @{$canned_values{$hz}};
- if (!defined(@val)) {
- @val = compute_values($hz);
- }
- output($hz, @val);
- }
- exit 0;
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