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-rw-r--r--kernel/Makefile16
-rw-r--r--kernel/timeconst.bc108
-rw-r--r--kernel/timeconst.pl376
3 files changed, 120 insertions, 380 deletions
diff --git a/kernel/Makefile b/kernel/Makefile
index eceac38f3c6..05949c0510c 100644
--- a/kernel/Makefile
+++ b/kernel/Makefile
@@ -127,11 +127,19 @@ $(obj)/config_data.h: $(obj)/config_data.gz FORCE
$(obj)/time.o: $(obj)/timeconst.h
-quiet_cmd_timeconst = TIMEC $@
- cmd_timeconst = $(PERL) $< $(CONFIG_HZ) > $@
+quiet_cmd_hzfile = HZFILE $@
+ cmd_hzfile = echo "hz=$(CONFIG_HZ)" > $@
+
+targets += hz.bc
+$(obj)/hz.bc: $(objtree)/include/config/hz.h FORCE
+ $(call if_changed,hzfile)
+
+quiet_cmd_bc = BC $@
+ cmd_bc = bc -q $(filter-out FORCE,$^) > $@
+
targets += timeconst.h
-$(obj)/timeconst.h: $(src)/timeconst.pl FORCE
- $(call if_changed,timeconst)
+$(obj)/timeconst.h: $(obj)/hz.bc $(src)/timeconst.bc FORCE
+ $(call if_changed,bc)
ifeq ($(CONFIG_MODULE_SIG),y)
#
diff --git a/kernel/timeconst.bc b/kernel/timeconst.bc
new file mode 100644
index 00000000000..511bdf2cafd
--- /dev/null
+++ b/kernel/timeconst.bc
@@ -0,0 +1,108 @@
+scale=0
+
+define gcd(a,b) {
+ auto t;
+ while (b) {
+ t = b;
+ b = a % b;
+ a = t;
+ }
+ return a;
+}
+
+/* Division by reciprocal multiplication. */
+define fmul(b,n,d) {
+ return (2^b*n+d-1)/d;
+}
+
+/* Adjustment factor when a ceiling value is used. Use as:
+ (imul * n) + (fmulxx * n + fadjxx) >> xx) */
+define fadj(b,n,d) {
+ auto v;
+ d = d/gcd(n,d);
+ v = 2^b*(d-1)/d;
+ return v;
+}
+
+/* Compute the appropriate mul/adj values as well as a shift count,
+ which brings the mul value into the range 2^b-1 <= x < 2^b. Such
+ a shift value will be correct in the signed integer range and off
+ by at most one in the upper half of the unsigned range. */
+define fmuls(b,n,d) {
+ auto s, m;
+ for (s = 0; 1; s++) {
+ m = fmul(s,n,d);
+ if (m >= 2^(b-1))
+ return s;
+ }
+ return 0;
+}
+
+define timeconst(hz) {
+ print "/* Automatically generated by kernel/timeconst.bc */\n"
+ print "/* Time conversion constants for HZ == ", hz, " */\n"
+ print "\n"
+
+ print "#ifndef KERNEL_TIMECONST_H\n"
+ print "#define KERNEL_TIMECONST_H\n\n"
+
+ print "#include <linux/param.h>\n"
+ print "#include <linux/types.h>\n\n"
+
+ print "#if HZ != ", hz, "\n"
+ print "#error \qkernel/timeconst.h has the wrong HZ value!\q\n"
+ print "#endif\n\n"
+
+ if (hz < 2) {
+ print "#error Totally bogus HZ value!\n"
+ } else {
+ s=fmuls(32,1000,hz)
+ obase=16
+ print "#define HZ_TO_MSEC_MUL32\tU64_C(0x", fmul(s,1000,hz), ")\n"
+ print "#define HZ_TO_MSEC_ADJ32\tU64_C(0x", fadj(s,1000,hz), ")\n"
+ obase=10
+ print "#define HZ_TO_MSEC_SHR32\t", s, "\n"
+
+ s=fmuls(32,hz,1000)
+ obase=16
+ print "#define MSEC_TO_HZ_MUL32\tU64_C(0x", fmul(s,hz,1000), ")\n"
+ print "#define MSEC_TO_HZ_ADJ32\tU64_C(0x", fadj(s,hz,1000), ")\n"
+ obase=10
+ print "#define MSEC_TO_HZ_SHR32\t", s, "\n"
+
+ obase=10
+ cd=gcd(hz,1000)
+ print "#define HZ_TO_MSEC_NUM\t\t", 1000/cd, "\n"
+ print "#define HZ_TO_MSEC_DEN\t\t", hz/cd, "\n"
+ print "#define MSEC_TO_HZ_NUM\t\t", hz/cd, "\n"
+ print "#define MSEC_TO_HZ_DEN\t\t", 1000/cd, "\n"
+ print "\n"
+
+ s=fmuls(32,1000000,hz)
+ obase=16
+ print "#define HZ_TO_USEC_MUL32\tU64_C(0x", fmul(s,1000000,hz), ")\n"
+ print "#define HZ_TO_USEC_ADJ32\tU64_C(0x", fadj(s,1000000,hz), ")\n"
+ obase=10
+ print "#define HZ_TO_USEC_SHR32\t", s, "\n"
+
+ s=fmuls(32,hz,1000000)
+ obase=16
+ print "#define USEC_TO_HZ_MUL32\tU64_C(0x", fmul(s,hz,1000000), ")\n"
+ print "#define USEC_TO_HZ_ADJ32\tU64_C(0x", fadj(s,hz,1000000), ")\n"
+ obase=10
+ print "#define USEC_TO_HZ_SHR32\t", s, "\n"
+
+ obase=10
+ cd=gcd(hz,1000000)
+ print "#define HZ_TO_USEC_NUM\t\t", 1000000/cd, "\n"
+ print "#define HZ_TO_USEC_DEN\t\t", hz/cd, "\n"
+ print "#define USEC_TO_HZ_NUM\t\t", hz/cd, "\n"
+ print "#define USEC_TO_HZ_DEN\t\t", 1000000/cd, "\n"
+ print "\n"
+
+ print "#endif /* KERNEL_TIMECONST_H */\n"
+ }
+ halt
+}
+
+timeconst(hz)
diff --git a/kernel/timeconst.pl b/kernel/timeconst.pl
deleted file mode 100644
index 3f42652a6a3..00000000000
--- a/kernel/timeconst.pl
+++ /dev/null
@@ -1,376 +0,0 @@
-#!/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";
- }
-
- $cv = $canned_values{$hz};
- @val = defined($cv) ? @$cv : compute_values($hz);
- output($hz, @val);
-}
-exit 0;