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Subject[PATCH 4/5] Replace timeconst.bc with mktimeconst.c
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Update of my decade-old patch replacing timeconst.pl with mktimeconst.c,
still removing the only user of "bc" from the build.

All that's changed since the 2015 version at:
https://github.com/landley/aboriginal/blob/master/sources/patches/linux-noperl-timeconst.patch

Is one extra iteration of the loop for nanoseconds and different
makefile plumbing calling it. In theory this could calculate the values
at runtime in a small _init function and eliminate the header or even
allow HZ to change at runtime.

See https://lkml.iu.edu/hypermail/linux/kernel/2211.0/02589.html

Signed-off-by: Rob Landley <rob@landley.net>
---
Kbuild | 7 ++-
kernel/time/mktimeconst.c | 111 ++++++++++++++++++++++++++++++++++++
kernel/time/timeconst.bc | 117 --------------------------------------
3 files changed, 116 insertions(+), 119 deletions(-)
create mode 100644 kernel/time/mktimeconst.c
delete mode 100644 kernel/time/timeconst.bc

diff --git a/Kbuild b/Kbuild
index 464b34a08f51..8c12f6ef58c6 100644
--- a/Kbuild
+++ b/Kbuild
@@ -18,9 +18,12 @@ $(bounds-file): kernel/bounds.s FORCE

timeconst-file := include/generated/timeconst.h

-filechk_gentimeconst = echo $(CONFIG_HZ) | bc -q $<
+hostprogs += mktimeconst
+mktimeconst-objs = kernel/time/mktimeconst.o

-$(timeconst-file): kernel/time/timeconst.bc FORCE
+filechk_gentimeconst = $(obj)/mktimeconst $(CONFIG_HZ) -
+
+$(timeconst-file): $(obj)/mktimeconst FORCE
$(call filechk,gentimeconst)

# Generate asm-offsets.h
diff --git a/kernel/time/mktimeconst.c b/kernel/time/mktimeconst.c
new file mode 100644
index 000000000000..c4c0df289472
--- /dev/null
+++ b/kernel/time/mktimeconst.c
@@ -0,0 +1,113 @@
+// SPDX-License-Identifier: 0BSD
+// Copyright 2010-2023 Rob Landley <rob@landley.net>
+
+#include <inttypes.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+
+int main(int argc, char *argv[])
+{
+ uint64_t hz, periods[] = {1000, 1000000, 1000000000};
+ char *names[] = {"MSEC", "USEC", "NSEC"};
+ FILE *file;
+ int i, j;
+
+ if (argc != 3 || (hz = atol(argv[1])) < 1
+ || !(file = !strcmp(argv[2], "-") ? stdout : fopen(argv[2], "w"))) {
+ fprintf(stderr, "Usage: mktimeconst HZ FILENAME\n\n");
+ fprintf(stderr, "Generate a header file with constants to convert between\n");
+ fprintf(stderr, "decimal HZ timer ticks and milisecond or microsecond delays,\n");
+ fprintf(stderr, "using reciprocal multiplication to avoid 64 bit division.\n");
+ exit(1);
+ }
+
+ fprintf(file,
+ "/* Conversion constants for HZ == %"PRIu64" */\n\n"
+ "/* Automatically generated by kernel/time/mktimeconst.c */\n"
+ "/* This could be generated in __init code but isn't */\n"
+
+ "#ifndef __KERNEL_TIMECONST_H\n"
+ "#define __KERNEL_TIMECONST_H\n\n"
+ "#include <linux/param.h>\n"
+ "#include <linux/types.h>\n\n"
+ "#if HZ != %"PRIu64"\n"
+ "#error \"include/generated/timeconst.h has the wrong HZ value!\"\n"
+ "#endif\n\n", hz, hz);
+
+ /* Repeat for MSEC, USEC, and NSEC */
+
+ for (i = 0; i < 3; i++) {
+ uint64_t gcd, period;
+
+ /* Find greatest common denominator using Euclid's algorithm. */
+
+ gcd = hz;
+ period = periods[i];
+ while (period) {
+ uint64_t temp = gcd % period;
+
+ gcd = period;
+ period = temp;
+ }
+
+ /* Output both directions (HZ_TO_PERIOD and PERIOD_TO_HZ) */
+
+ for (j = 0; j < 2; j++) {
+ char name[16];
+ uint64_t from = j ? periods[i] : hz;
+ uint64_t to = j ? hz : periods[i];
+ uint64_t mul32 = 0, adj32 = 0, shift = 0;
+
+ sprintf(name, j ? "%s_TO_HZ" : "HZ_TO_%s", names[i]);
+
+ /* Figure out what shift value gives 32 significant
+ * bits of MUL32 data. (Worst case to=1 from=1000000
+ * uses 52 bits, to<<shift won't overflow 64 bit math.)
+ */
+
+ for (;;) {
+ mul32 = ((to << shift) + from - 1) / from;
+ if (mul32 >= (1UL<<31))
+ break;
+ shift++;
+ }
+
+ /* ADJ32 is just (((FROM/GCD)-1)<<SHIFT)/(FROM/GCD)
+ * but this can overflow 64 bit math (examples, HZ=24
+ * or HZ=122). Worst case scenario uses 32+20+20=72
+ * bits. Workaround: split off bottom 32 bits and
+ * reassemble after calculation (32+64=96 bits).
+ */
+
+ adj32 = from / gcd;
+
+ if (shift > 32) {
+ uint64_t upper, lower;
+
+ upper = (adj32 - 1) << (shift - 32);
+ lower = (upper % adj32) << 32;
+ adj32 = ((upper/adj32) << 32) + (lower/adj32);
+ } else
+ adj32 = ((adj32 - 1) << shift) / adj32;
+
+ /* Emit the constants into the header file. */
+
+ fprintf(file, "#define %s_MUL32\tU64_C(0x%"PRIx64")\n",
+ name, mul32);
+ fprintf(file, "#define %s_ADJ32\tU64_C(0x%"PRIx64")\n",
+ name, adj32);
+ fprintf(file, "#define %s_SHR32\t%"PRIu64"\n",
+ name, shift);
+ fprintf(file, "#define %s_NUM\t\tU64_C(%"PRIu64")\n",
+ name, to/gcd);
+ fprintf(file, "#define %s_DEN\t\tU64_C(%"PRIu64")\n\n",
+ name, from/gcd);
+ }
+ }
+ fprintf(file, "#endif /* __KERNEL_TIMECONST_H */\n");
+
+ /* Notice if the disk fills up. */
+
+ fflush(file);
+}
diff --git a/kernel/time/timeconst.bc b/kernel/time/timeconst.bc
deleted file mode 100644
index 7ed0e0fb5831..000000000000
--- a/kernel/time/timeconst.bc
+++ /dev/null
@@ -1,117 +0,0 @@
-/* SPDX-License-Identifier: GPL-2.0 */
-
-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/time/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 \qinclude/generated/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"
-
- cd=gcd(hz,1000000000)
- print "#define HZ_TO_NSEC_NUM\t\t", 1000000000/cd, "\n"
- print "#define HZ_TO_NSEC_DEN\t\t", hz/cd, "\n"
- print "#define NSEC_TO_HZ_NUM\t\t", hz/cd, "\n"
- print "#define NSEC_TO_HZ_DEN\t\t", 1000000000/cd, "\n"
- print "\n"
-
- print "#endif /* KERNEL_TIMECONST_H */\n"
- }
- halt
-}
-
-hz = read();
-timeconst(hz)
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