libbb: move isqrt from factor, use it in diff too
Signed-off-by: Denys Vlasenko <vda.linux@googlemail.com>
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10673c44f1
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@ -44,24 +44,7 @@ typedef unsigned long half_t;
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#error Cant find an integer type which is half as wide as ullong
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#endif
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/* Returns such x that x+1 > sqrt(N) */
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static inline half_t isqrt(wide_t N)
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{
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half_t x;
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unsigned shift;
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shift = WIDE_BITS - 2;
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x = 0;
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do {
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x = (x << 1) + 1;
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if ((wide_t)x * x > (N >> shift))
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x--; /* whoops, that +1 was too much */
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shift -= 2;
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} while ((int)shift >= 0);
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return x;
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}
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static NOINLINE half_t isqrt_odd(wide_t N)
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static half_t isqrt_odd(wide_t N)
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{
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half_t s = isqrt(N);
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/* Subtract 1 from even s, odd s won't change: */
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@ -295,17 +295,6 @@ static int search(const int *c, int k, int y, const struct cand *list)
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}
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}
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static unsigned isqrt(unsigned n)
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{
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unsigned x = 1;
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while (1) {
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const unsigned y = x;
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x = ((n / x) + x) >> 1;
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if (x <= (y + 1) && x >= (y - 1))
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return x;
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}
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}
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static void stone(const int *a, int n, const int *b, int *J, int pref)
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{
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const unsigned isq = isqrt(n);
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@ -342,6 +342,8 @@ extern int *const bb_errno;
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uint64_t bb_bswap_64(uint64_t x) FAST_FUNC;
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#endif
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unsigned long FAST_FUNC isqrt(unsigned long long N);
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unsigned long long monotonic_ns(void) FAST_FUNC;
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unsigned long long monotonic_us(void) FAST_FUNC;
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unsigned long long monotonic_ms(void) FAST_FUNC;
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60
libbb/isqrt.c
Normal file
60
libbb/isqrt.c
Normal file
@ -0,0 +1,60 @@
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/*
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* Copyright (C) 2017 Denys Vlasenko <vda.linux@googlemail.com>
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*
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* Licensed under GPLv2, see file LICENSE in this source tree.
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*/
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//kbuild:lib-y += isqrt.o
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#ifndef ISQRT_TEST
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# include "libbb.h"
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#else
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/* gcc -DISQRT_TEST -Wall -O2 isqrt.c -oisqrt && ./isqrt $((RANDOM*RANDOM)) */
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# include <stdlib.h>
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# include <stdio.h>
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# include <time.h>
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# define FAST_FUNC /* nothing */
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#endif
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/* Returns such x that x+1 > sqrt(N) */
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unsigned long FAST_FUNC isqrt(unsigned long long N)
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{
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unsigned long x;
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unsigned shift;
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#define LL_WIDTH_BITS (unsigned)(sizeof(N)*8)
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shift = LL_WIDTH_BITS - 2;
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x = 0;
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do {
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x = (x << 1) + 1;
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if ((unsigned long long)x * x > (N >> shift))
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x--; /* whoops, that +1 was too much */
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shift -= 2;
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} while ((int)shift >= 0);
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return x;
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}
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#ifdef ISQRT_TEST
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int main(int argc, char **argv)
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{
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unsigned long long n = argv[1] ? strtoull(argv[1], NULL, 0) : time(NULL);
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for (;;) {
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unsigned long h;
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n--;
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h = isqrt(n);
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if (!(n & 0xffff))
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printf("isqrt(%llx)=%lx\n", n, h);
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if ((unsigned long long)h * h > n) {
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printf("BAD1: isqrt(%llx)=%lx\n", n, h);
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return 1;
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}
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h++;
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if ((unsigned long long)h * h != 0 /* this can overflow to 0 - not a bug */
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&& (unsigned long long)h * h <= n)
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{
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printf("BAD2: isqrt(%llx)=%lx\n", n, h);
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return 1;
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}
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}
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}
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#endif
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