diff options
Diffstat (limited to 'examples/redis-unstable/deps/fpconv/fpconv_dtoa.c')
| -rw-r--r-- | examples/redis-unstable/deps/fpconv/fpconv_dtoa.c | 373 |
1 files changed, 0 insertions, 373 deletions
diff --git a/examples/redis-unstable/deps/fpconv/fpconv_dtoa.c b/examples/redis-unstable/deps/fpconv/fpconv_dtoa.c deleted file mode 100644 index ad2f2de..0000000 --- a/examples/redis-unstable/deps/fpconv/fpconv_dtoa.c +++ /dev/null @@ -1,373 +0,0 @@ -/* fpconv_dtoa.c -- floating point conversion utilities. - * - * Fast and accurate double to string conversion based on Florian Loitsch's - * Grisu-algorithm[1]. - * - * [1] https://www.cs.tufts.edu/~nr/cs257/archive/florian-loitsch/printf.pdf - * ---------------------------------------------------------------------------- - * - * Copyright (c) 2013-2019, night-shift <as.smljk at gmail dot com> - * Copyright (c) 2009, Florian Loitsch < florian.loitsch at inria dot fr > - * All rights reserved. - * - * Boost Software License - Version 1.0 - August 17th, 2003 - * - * Permission is hereby granted, free of charge, to any person or organization - * obtaining a copy of the software and accompanying documentation covered by - * this license (the "Software") to use, reproduce, display, distribute, - * execute, and transmit the Software, and to prepare derivative works of the - * Software, and to permit third-parties to whom the Software is furnished to - * do so, all subject to the following: - * - * The copyright notices in the Software and this entire statement, including - * the above license grant, this restriction and the following disclaimer, - * must be included in all copies of the Software, in whole or in part, and - * all derivative works of the Software, unless such copies or derivative - * works are solely in the form of machine-executable object code generated by - * a source language processor. - * - * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR - * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, - * FITNESS FOR A PARTICULAR PURPOSE, TITLE AND NON-INFRINGEMENT. IN NO EVENT - * SHALL THE COPYRIGHT HOLDERS OR ANYONE DISTRIBUTING THE SOFTWARE BE LIABLE - * FOR ANY DAMAGES OR OTHER LIABILITY, WHETHER IN CONTRACT, TORT OR OTHERWISE, - * ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER - * DEALINGS IN THE SOFTWARE. - */ - -#include "fpconv_dtoa.h" - -#include "fpconv_powers.h" - -#include <stdbool.h> -#include <string.h> - -#define fracmask 0x000FFFFFFFFFFFFFU -#define expmask 0x7FF0000000000000U -#define hiddenbit 0x0010000000000000U -#define signmask 0x8000000000000000U -#define expbias (1023 + 52) - -#define absv(n) ((n) < 0 ? -(n) : (n)) -#define minv(a, b) ((a) < (b) ? (a) : (b)) - -static uint64_t tens[] = { 10000000000000000000U, - 1000000000000000000U, - 100000000000000000U, - 10000000000000000U, - 1000000000000000U, - 100000000000000U, - 10000000000000U, - 1000000000000U, - 100000000000U, - 10000000000U, - 1000000000U, - 100000000U, - 10000000U, - 1000000U, - 100000U, - 10000U, - 1000U, - 100U, - 10U, - 1U }; - -static inline uint64_t get_dbits(double d) { - union - { - double dbl; - uint64_t i; - } dbl_bits = { d }; - - return dbl_bits.i; -} - -static Fp build_fp(double d) { - uint64_t bits = get_dbits(d); - - Fp fp; - fp.frac = bits & fracmask; - fp.exp = (bits & expmask) >> 52; - - if (fp.exp) { - fp.frac += hiddenbit; - fp.exp -= expbias; - - } else { - fp.exp = -expbias + 1; - } - - return fp; -} - -static void normalize(Fp *fp) { - while ((fp->frac & hiddenbit) == 0) { - fp->frac <<= 1; - fp->exp--; - } - - int shift = 64 - 52 - 1; - fp->frac <<= shift; - fp->exp -= shift; -} - -static void get_normalized_boundaries(Fp *fp, Fp *lower, Fp *upper) { - upper->frac = (fp->frac << 1) + 1; - upper->exp = fp->exp - 1; - - while ((upper->frac & (hiddenbit << 1)) == 0) { - upper->frac <<= 1; - upper->exp--; - } - - int u_shift = 64 - 52 - 2; - - upper->frac <<= u_shift; - upper->exp = upper->exp - u_shift; - - int l_shift = fp->frac == hiddenbit ? 2 : 1; - - lower->frac = (fp->frac << l_shift) - 1; - lower->exp = fp->exp - l_shift; - - lower->frac <<= lower->exp - upper->exp; - lower->exp = upper->exp; -} - -static Fp multiply(Fp *a, Fp *b) { - const uint64_t lomask = 0x00000000FFFFFFFF; - - uint64_t ah_bl = (a->frac >> 32) * (b->frac & lomask); - uint64_t al_bh = (a->frac & lomask) * (b->frac >> 32); - uint64_t al_bl = (a->frac & lomask) * (b->frac & lomask); - uint64_t ah_bh = (a->frac >> 32) * (b->frac >> 32); - - uint64_t tmp = (ah_bl & lomask) + (al_bh & lomask) + (al_bl >> 32); - /* round up */ - tmp += 1U << 31; - - Fp fp = { ah_bh + (ah_bl >> 32) + (al_bh >> 32) + (tmp >> 32), a->exp + b->exp + 64 }; - - return fp; -} - -static void round_digit(char *digits, - int ndigits, - uint64_t delta, - uint64_t rem, - uint64_t kappa, - uint64_t frac) { - while (rem < frac && delta - rem >= kappa && - (rem + kappa < frac || frac - rem > rem + kappa - frac)) { - digits[ndigits - 1]--; - rem += kappa; - } -} - -static int generate_digits(Fp *fp, Fp *upper, Fp *lower, char *digits, int *K) { - uint64_t wfrac = upper->frac - fp->frac; - uint64_t delta = upper->frac - lower->frac; - - Fp one; - one.frac = 1ULL << -upper->exp; - one.exp = upper->exp; - - uint64_t part1 = upper->frac >> -one.exp; - uint64_t part2 = upper->frac & (one.frac - 1); - - int idx = 0, kappa = 10; - uint64_t *divp; - /* 1000000000 */ - for (divp = tens + 10; kappa > 0; divp++) { - uint64_t div = *divp; - unsigned digit = part1 / div; - - if (digit || idx) { - digits[idx++] = digit + '0'; - } - - part1 -= digit * div; - kappa--; - - uint64_t tmp = (part1 << -one.exp) + part2; - if (tmp <= delta) { - *K += kappa; - round_digit(digits, idx, delta, tmp, div << -one.exp, wfrac); - - return idx; - } - } - - /* 10 */ - uint64_t *unit = tens + 18; - - while (true) { - part2 *= 10; - delta *= 10; - kappa--; - - unsigned digit = part2 >> -one.exp; - if (digit || idx) { - digits[idx++] = digit + '0'; - } - - part2 &= one.frac - 1; - if (part2 < delta) { - *K += kappa; - round_digit(digits, idx, delta, part2, one.frac, wfrac * *unit); - - return idx; - } - - unit--; - } -} - -static int grisu2(double d, char *digits, int *K) { - Fp w = build_fp(d); - - Fp lower, upper; - get_normalized_boundaries(&w, &lower, &upper); - - normalize(&w); - - int k; - Fp cp = find_cachedpow10(upper.exp, &k); - - w = multiply(&w, &cp); - upper = multiply(&upper, &cp); - lower = multiply(&lower, &cp); - - lower.frac++; - upper.frac--; - - *K = -k; - - return generate_digits(&w, &upper, &lower, digits, K); -} - -static int emit_digits(char *digits, int ndigits, char *dest, int K, bool neg) { - int exp = absv(K + ndigits - 1); - - /* write plain integer */ - if (K >= 0 && (exp < (ndigits + 7))) { - memcpy(dest, digits, ndigits); - memset(dest + ndigits, '0', K); - - return ndigits + K; - } - - /* write decimal w/o scientific notation */ - if (K < 0 && (K > -7 || exp < 4)) { - int offset = ndigits - absv(K); - /* fp < 1.0 -> write leading zero */ - if (offset <= 0) { - offset = -offset; - dest[0] = '0'; - dest[1] = '.'; - memset(dest + 2, '0', offset); - memcpy(dest + offset + 2, digits, ndigits); - - return ndigits + 2 + offset; - - /* fp > 1.0 */ - } else { - memcpy(dest, digits, offset); - dest[offset] = '.'; - memcpy(dest + offset + 1, digits + offset, ndigits - offset); - - return ndigits + 1; - } - } - - /* write decimal w/ scientific notation */ - ndigits = minv(ndigits, 18 - neg); - - int idx = 0; - dest[idx++] = digits[0]; - - if (ndigits > 1) { - dest[idx++] = '.'; - memcpy(dest + idx, digits + 1, ndigits - 1); - idx += ndigits - 1; - } - - dest[idx++] = 'e'; - - char sign = K + ndigits - 1 < 0 ? '-' : '+'; - dest[idx++] = sign; - - int cent = 0; - - if (exp > 99) { - cent = exp / 100; - dest[idx++] = cent + '0'; - exp -= cent * 100; - } - if (exp > 9) { - int dec = exp / 10; - dest[idx++] = dec + '0'; - exp -= dec * 10; - - } else if (cent) { - dest[idx++] = '0'; - } - - dest[idx++] = exp % 10 + '0'; - - return idx; -} - -static int filter_special(double fp, char *dest) { - if (fp == 0.0) { - dest[0] = '0'; - return 1; - } - - uint64_t bits = get_dbits(fp); - - bool nan = (bits & expmask) == expmask; - - if (!nan) { - return 0; - } - - if (bits & fracmask) { - dest[0] = 'n'; - dest[1] = 'a'; - dest[2] = 'n'; - - } else { - dest[0] = 'i'; - dest[1] = 'n'; - dest[2] = 'f'; - } - - return 3; -} - -int fpconv_dtoa(double d, char dest[24]) { - char digits[18]; - - int str_len = 0; - bool neg = false; - - if (get_dbits(d) & signmask) { - dest[0] = '-'; - str_len++; - neg = true; - } - - int spec = filter_special(d, dest + str_len); - - if (spec) { - return str_len + spec; - } - - int K = 0; - int ndigits = grisu2(d, digits, &K); - - str_len += emit_digits(digits, ndigits, dest + str_len, K, neg); - - return str_len; -} |
