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-rw-r--r--kernel/timeconst.pl402
1 files changed, 402 insertions, 0 deletions
diff --git a/kernel/timeconst.pl b/kernel/timeconst.pl
new file mode 100644
index 00000000000..62b1287932e
--- /dev/null
+++ b/kernel/timeconst.pl
@@ -0,0 +1,402 @@
+#!/usr/bin/perl
+# -----------------------------------------------------------------------
+#
+# Copyright 2007 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,
+ '0xa6aaaaaaaaaaaaab','0x2aaaaaaaaaaaaaa',58,
+ 125,3,
+ '0xc49ba5e4','0x1fbe76c8b4',37,
+ '0xc49ba5e353f7ceda','0x1fbe76c8b439581062',69,
+ 3,125,
+ '0xa2c2aaab','0xaaaa',16,
+ '0xa2c2aaaaaaaaaaab','0xaaaaaaaaaaaa',48,
+ 125000,3,
+ '0xc9539b89','0x7fffbce4217d',47,
+ '0xc9539b8887229e91','0x7fffbce4217d2849cb25',79,
+ 3,125000,
+ ], 32 => [
+ '0xfa000000','0x6000000',27,
+ '0xfa00000000000000','0x600000000000000',59,
+ 125,4,
+ '0x83126e98','0xfdf3b645a',36,
+ '0x83126e978d4fdf3c','0xfdf3b645a1cac0831',68,
+ 4,125,
+ '0xf4240000','0x0',17,
+ '0xf424000000000000','0x0',49,
+ 31250,1,
+ '0x8637bd06','0x3fff79c842fa',46,
+ '0x8637bd05af6c69b6','0x3fff79c842fa5093964a',78,
+ 1,31250,
+ ], 48 => [
+ '0xa6aaaaab','0x6aaaaaa',27,
+ '0xa6aaaaaaaaaaaaab','0x6aaaaaaaaaaaaaa',59,
+ 125,6,
+ '0xc49ba5e4','0xfdf3b645a',36,
+ '0xc49ba5e353f7ceda','0xfdf3b645a1cac0831',68,
+ 6,125,
+ '0xa2c2aaab','0x15555',17,
+ '0xa2c2aaaaaaaaaaab','0x1555555555555',49,
+ 62500,3,
+ '0xc9539b89','0x3fffbce4217d',46,
+ '0xc9539b8887229e91','0x3fffbce4217d2849cb25',78,
+ 3,62500,
+ ], 64 => [
+ '0xfa000000','0xe000000',28,
+ '0xfa00000000000000','0xe00000000000000',60,
+ 125,8,
+ '0x83126e98','0x7ef9db22d',35,
+ '0x83126e978d4fdf3c','0x7ef9db22d0e560418',67,
+ 8,125,
+ '0xf4240000','0x0',18,
+ '0xf424000000000000','0x0',50,
+ 15625,1,
+ '0x8637bd06','0x1fff79c842fa',45,
+ '0x8637bd05af6c69b6','0x1fff79c842fa5093964a',77,
+ 1,15625,
+ ], 100 => [
+ '0xa0000000','0x0',28,
+ '0xa000000000000000','0x0',60,
+ 10,1,
+ '0xcccccccd','0x733333333',35,
+ '0xcccccccccccccccd','0x73333333333333333',67,
+ 1,10,
+ '0x9c400000','0x0',18,
+ '0x9c40000000000000','0x0',50,
+ 10000,1,
+ '0xd1b71759','0x1fff2e48e8a7',45,
+ '0xd1b71758e219652c','0x1fff2e48e8a71de69ad4',77,
+ 1,10000,
+ ], 122 => [
+ '0x8325c53f','0xfbcda3a',28,
+ '0x8325c53ef368eb05','0xfbcda3ac10c9714',60,
+ 500,61,
+ '0xf9db22d1','0x7fbe76c8b',35,
+ '0xf9db22d0e560418a','0x7fbe76c8b43958106',67,
+ 61,500,
+ '0x8012e2a0','0x3ef36',18,
+ '0x8012e29f79b47583','0x3ef368eb04325',50,
+ 500000,61,
+ '0xffda4053','0x1ffffbce4217',45,
+ '0xffda4052d666a983','0x1ffffbce4217d2849cb2',77,
+ 61,500000,
+ ], 128 => [
+ '0xfa000000','0x1e000000',29,
+ '0xfa00000000000000','0x1e00000000000000',61,
+ 125,16,
+ '0x83126e98','0x3f7ced916',34,
+ '0x83126e978d4fdf3c','0x3f7ced916872b020c',66,
+ 16,125,
+ '0xf4240000','0x40000',19,
+ '0xf424000000000000','0x4000000000000',51,
+ 15625,2,
+ '0x8637bd06','0xfffbce4217d',44,
+ '0x8637bd05af6c69b6','0xfffbce4217d2849cb25',76,
+ 2,15625,
+ ], 200 => [
+ '0xa0000000','0x0',29,
+ '0xa000000000000000','0x0',61,
+ 5,1,
+ '0xcccccccd','0x333333333',34,
+ '0xcccccccccccccccd','0x33333333333333333',66,
+ 1,5,
+ '0x9c400000','0x0',19,
+ '0x9c40000000000000','0x0',51,
+ 5000,1,
+ '0xd1b71759','0xfff2e48e8a7',44,
+ '0xd1b71758e219652c','0xfff2e48e8a71de69ad4',76,
+ 1,5000,
+ ], 250 => [
+ '0x80000000','0x0',29,
+ '0x8000000000000000','0x0',61,
+ 4,1,
+ '0x80000000','0x180000000',33,
+ '0x8000000000000000','0x18000000000000000',65,
+ 1,4,
+ '0xfa000000','0x0',20,
+ '0xfa00000000000000','0x0',52,
+ 4000,1,
+ '0x83126e98','0x7ff7ced9168',43,
+ '0x83126e978d4fdf3c','0x7ff7ced916872b020c4',75,
+ 1,4000,
+ ], 256 => [
+ '0xfa000000','0x3e000000',30,
+ '0xfa00000000000000','0x3e00000000000000',62,
+ 125,32,
+ '0x83126e98','0x1fbe76c8b',33,
+ '0x83126e978d4fdf3c','0x1fbe76c8b43958106',65,
+ 32,125,
+ '0xf4240000','0xc0000',20,
+ '0xf424000000000000','0xc000000000000',52,
+ 15625,4,
+ '0x8637bd06','0x7ffde7210be',43,
+ '0x8637bd05af6c69b6','0x7ffde7210be9424e592',75,
+ 4,15625,
+ ], 300 => [
+ '0xd5555556','0x2aaaaaaa',30,
+ '0xd555555555555556','0x2aaaaaaaaaaaaaaa',62,
+ 10,3,
+ '0x9999999a','0x1cccccccc',33,
+ '0x999999999999999a','0x1cccccccccccccccc',65,
+ 3,10,
+ '0xd0555556','0xaaaaa',20,
+ '0xd055555555555556','0xaaaaaaaaaaaaa',52,
+ 10000,3,
+ '0x9d495183','0x7ffcb923a29',43,
+ '0x9d495182a9930be1','0x7ffcb923a29c779a6b5',75,
+ 3,10000,
+ ], 512 => [
+ '0xfa000000','0x7e000000',31,
+ '0xfa00000000000000','0x7e00000000000000',63,
+ 125,64,
+ '0x83126e98','0xfdf3b645',32,
+ '0x83126e978d4fdf3c','0xfdf3b645a1cac083',64,
+ 64,125,
+ '0xf4240000','0x1c0000',21,
+ '0xf424000000000000','0x1c000000000000',53,
+ 15625,8,
+ '0x8637bd06','0x3ffef39085f',42,
+ '0x8637bd05af6c69b6','0x3ffef39085f4a1272c9',74,
+ 8,15625,
+ ], 1000 => [
+ '0x80000000','0x0',31,
+ '0x8000000000000000','0x0',63,
+ 1,1,
+ '0x80000000','0x0',31,
+ '0x8000000000000000','0x0',63,
+ 1,1,
+ '0xfa000000','0x0',22,
+ '0xfa00000000000000','0x0',54,
+ 1000,1,
+ '0x83126e98','0x1ff7ced9168',41,
+ '0x83126e978d4fdf3c','0x1ff7ced916872b020c4',73,
+ 1,1000,
+ ], 1024 => [
+ '0xfa000000','0xfe000000',32,
+ '0xfa00000000000000','0xfe00000000000000',64,
+ 125,128,
+ '0x83126e98','0x7ef9db22',31,
+ '0x83126e978d4fdf3c','0x7ef9db22d0e56041',63,
+ 128,125,
+ '0xf4240000','0x3c0000',22,
+ '0xf424000000000000','0x3c000000000000',54,
+ 15625,16,
+ '0x8637bd06','0x1fff79c842f',41,
+ '0x8637bd05af6c69b6','0x1fff79c842fa5093964',73,
+ 16,15625,
+ ], 1200 => [
+ '0xd5555556','0xd5555555',32,
+ '0xd555555555555556','0xd555555555555555',64,
+ 5,6,
+ '0x9999999a','0x66666666',31,
+ '0x999999999999999a','0x6666666666666666',63,
+ 6,5,
+ '0xd0555556','0x2aaaaa',22,
+ '0xd055555555555556','0x2aaaaaaaaaaaaa',54,
+ 2500,3,
+ '0x9d495183','0x1ffcb923a29',41,
+ '0x9d495182a9930be1','0x1ffcb923a29c779a6b5',73,
+ 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($$$) {
+ my($b,$n,$d) = @_;
+ my($s,$m);
+ my($thres) = bint(1) << ($b-1);
+
+ $n = bint($n);
+ $d = bint($d);
+
+ for ($s = 0; 1; $s++) {
+ $m = fmul($s,$n,$d);
+ return $s if ($m >= $thres);
+ }
+ return 0;
+}
+
+# Provides mul, adj, and shr factors for a specific
+# (bit, time, hz) combination
+sub muladj($$$) {
+ my($b, $t, $hz) = @_;
+ my $s = fmuls($b, $t, $hz);
+ my $m = fmul($s, $t, $hz);
+ my $a = fadj($s, $t, $hz);
+ return ($m->as_hex(), $a->as_hex(), $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, muladj(64, $t, $hz));
+ push(@val, numden($t, $hz));
+
+ # xx_TO_HZ
+ push(@val, muladj(32, $hz, $t));
+ push(@val, muladj(64, $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, $hz));
+
+ return @val;
+}
+
+sub output($@)
+{
+ 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 "\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',
+ 'USEC_TO_HZ','HZ_TO_USEC') {
+ foreach $bit (32, 64) {
+ foreach $suf ('MUL', 'ADJ', 'SHR') {
+ printf "#define %-23s %s\n",
+ "${pfx}_$suf$bit", shift(@val);
+ }
+ }
+ foreach $suf ('NUM', 'DEN') {
+ printf "#define %-23s %s\n",
+ "${pfx}_$suf", shift(@val);
+ }
+ }
+
+ print "\n";
+ print "#endif /* KERNEL_TIMECONST_H */\n";
+}
+
+($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, 64) {
+ my $m = shift(@values);
+ my $a = shift(@values);
+ my $s = shift(@values);
+ print "\t\t\'",$m,"\',\'",$a,"\',",$s,",\n";
+ }
+ my $n = shift(@values);
+ my $d = shift(@values);
+ print "\t\t",$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;