Plug in emyg_dtoa and emyg_atod for round trip double conversion
This commit is contained in:
Doug Currie
parent
bfe1db8d16
commit
5fd8f8287f
3
Makefile
3
Makefile
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@ -11,6 +11,7 @@ PICRIN_OBJS = \
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CONTRIB_SRCS =
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CONTRIB_OBJS = $(CONTRIB_SRCS:.c=.o)
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CONTRIB_LIBS =
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CONTRIB_DEFS =
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CONTRIB_INITS =
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CONTRIB_TESTS =
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CONTRIB_DOCS = $(wildcard contrib/*/docs/*.rst)
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@ -19,7 +20,7 @@ REPL_ISSUE_TESTS = $(wildcard t/issue/*.sh)
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TEST_RUNNER = bin/picrin
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CFLAGS += -I./extlib/benz/include -Wall -Wextra
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CFLAGS += -I./extlib/benz/include -Wall -Wextra $(CONTRIB_DEFS)
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LDFLAGS += -lm
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prefix ?= /usr/local
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@ -0,0 +1,761 @@
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/* emyg_atod.c
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**
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** Copyright (C) 2015 Doug Currie, Londonderry, NH, USA
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**
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** Permission is hereby granted, free of charge, to any person obtaining a copy
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** of this software and associated documentation files (the "Software"), to deal
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** in the Software without restriction, including without limitation the rights
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** to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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** copies of the Software, and to permit persons to whom the Software is
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** furnished to do so, subject to the following conditions:
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**
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** The above copyright notice and this permission notice shall be included in
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** all copies or substantial portions of the Software.
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**
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** THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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** IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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** FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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** AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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** LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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** OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
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** THE SOFTWARE.
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*/
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/* This code is an implementation of strtod() to accompany emyg_dtoa.c
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** It is based on an algorithm described by Aubrey Jaffer, January 2015,
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** "Easy Accurate Reading and Writing of Floating-Point Numbers"
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** arXiv:1310.8121v6 -- http://arxiv.org/abs/1310.8121v6
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*/
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/* This implementation, besides the obvious translation from Java to C, has
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** some differences/improvements:
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** 1. All memory allocations are on the stack, no heap allocations
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** 2. We don't shift numerator right for the case: negative dpoint, positive bex
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** This can happen for an input like -139745422447689500.0 that has...
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** mant: 1397454224476895000 dp: -1 bex: 5. Shifting the mantissa right would
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** lose information; instead we shift the scale factor left.
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** 3. We use a roundQuotient function (quornd) optimized for atod; it adjusts
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** the result to be 53 bits if it is 54 before rounding by appropriate use
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** of the quotient LSB and remainder; this avoids doing the divide twice.
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*/
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#include <stdlib.h>
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#include <limits.h>
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#include <stdint.h>
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#include <ctype.h> // used by emyg_strtod
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#include <math.h> // scalb()
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#include "emyg_pow5.h" // in separate file to support alternate implementations, and it's big
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#ifdef TESTING_QUOREM
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#include <stdio.h>
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#include <string.h>
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#define QUODBG(x) x
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#else
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#define QUODBG(x)
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#endif
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#define OPTIMIZE_FOR_ATOD
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#define BIGNUM_JUMBO_SIZE_UINT32 (30) /* 960 bits > (64 + 54 + (log (expt 5 345) 2) = 919) */
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#define BIGNUM_NORMAL_SIZE_UINT32 (28) /* when we don't need the extra space for multiply */
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#define BIGNUM_QUOTIENT_SIZE_UINT32 (4) /* difference twixt dividend - divisor; see m - n + 1 */
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static const int doubleMantissaBits = 53;
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static inline int nlz32 (uint32_t x)
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{
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#if defined(_MSC_VER) && defined(_M_AMD64)
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unsigned long bitno;
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uint8_t s = _BitScanReverse(&bitno, (unsigned long )x);
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return s ? (31 - (int )bitno) : 32;
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#elif defined(__GNUC__) && (UINT_MAX == 0xFFFFFFFFUL)
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return (x == 0u) ? 32 : __builtin_clz((unsigned int )x);
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#elif defined(__GNUC__) && (ULONG_MAX == 0xFFFFFFFFUL)
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return (x == 0u) ? 32 : __builtin_clzl((unsigned long )x);
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#else
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int n;
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if (x == 0) return(32);
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n = 0;
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if (x <= 0x0000FFFF) { n = n +16; x = x <<16; }
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if (x <= 0x00FFFFFF) { n = n + 8; x = x << 8; }
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if (x <= 0x0FFFFFFF) { n = n + 4; x = x << 4; }
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if (x <= 0x3FFFFFFF) { n = n + 2; x = x << 2; }
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if (x <= 0x7FFFFFFF) { n = n + 1; }
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return n;
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#endif
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}
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static inline int nlz64 (uint64_t x)
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{
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#if defined(_MSC_VER) && defined(_M_AMD64)
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unsigned long bitno;
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uint8_t s = _BitScanReverse64(&bitno, x);
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return s ? (63 - (int )bitno) : 64;
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#elif defined(__GNUC__) && (ULONG_MAX > 0xFFFFFFFFFFFFFFF5ULL)
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return (x == 0u) ? 64 : __builtin_clzl((unsigned long )x);
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#elif defined(__GNUC__) && (ULONGLONG_MAX > 0xFFFFFFFFFFFFFFF5ULL)
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return (x == 0u) ? 64 : __builtin_clzll((unsigned long long )x);
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#else
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int s = nlz32(x >> 32);
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return (s == 32) ? (32 + nlz32(x & UINT32_MAX)) : s;
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#endif
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}
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/* Divide code divmnu.c adapted from Hacker's Delight; here are the changes:
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** 1. Eliminated signed arithmetic (shift left and conversions) since
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** these are undefined behavior for C; adapted similar solution from
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** David Ireland's BigDigits library.
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** 2. Removed the option to return the remainder, and added the rounding
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** feature needed for IEEE conversion.
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** 3. Eliminated the alloca() calls; we know that for IEEE doubles none
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** of our bignums will be larger than 112 bits.
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** 4. Added code specific to emyg_atod() to force result size to 53 bits
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** and returning a -1 to indicate the scaling by /2
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** Hacker's Delight web site has a permission statement, incuding: you are
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** free to use, copy, and distribute any of the code on this web site,
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** whether modified by you or not. You need not give attribution.
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*/
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/* This divides an n-word dividend by an m-word divisor, giving an
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** n-m+1-word quotient and m-word remainder. The bignums are in arrays of
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** words. Here a "word" is 32 bits. This routine is designed for a 64-bit
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** machine which has a 64/64 division instruction. */
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/* q[0], u[0], and v[0] contain the LEAST significant words.
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** (The sequence is in little-endian order).
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**
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** This is a fairly precise implementation of Knuth's Algorithm D, for a
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** binary computer with base b = 2**32. The caller supplies:
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** 1. Space q for the quotient, m - n + 1 words (at least one).
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** 2. The dividend u, m words, m >= 1.
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** 3. The divisor v, n words, n >= 1.
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** The most significant digit of the divisor, v[n-1], must be nonzero. The
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** dividend u may have leading zeros; this just makes the algorithm take
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** longer and makes the quotient contain more leading zeros.
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** The program does not alter the input parameters u and v.
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** The quotient returned may have leading zeros. The
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** function itself returns a value of 0 for success and 1 for invalid
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** parameters (e.g., division by 0).
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** For now, we must have m >= n. Knuth's Algorithm D also requires
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** that the dividend be at least as long as the divisor. (In his terms,
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** m >= 0 (unstated). Therefore m+n >= n.)
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*/
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int quornd (uint32_t q[], const uint32_t u[], const uint32_t v[], int m, int n)
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{
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const uint64_t b = 4294967296ULL; // Number base (2**32).
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uint32_t un[BIGNUM_JUMBO_SIZE_UINT32]; // Normalized form of u, v.
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uint32_t vn[BIGNUM_JUMBO_SIZE_UINT32];
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uint64_t qhat; // Estimated quotient digit.
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uint64_t rhat; // A remainder.
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uint64_t p; // Product of two digits.
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uint64_t t, k;
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int s, i, j;
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int res = 0;
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if (m < n || n <= 0 || v[n-1] == 0)
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return 1; // Return if invalid param.
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if (n == 1)
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{
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k = 0; // Take care of the case of a
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for (j = m - 1; j >= 0; j--) // single-digit divisor here.
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{
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q[j] = (k*b + u[j]) / v[0];
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k = (k*b + u[j]) - (q[j] * v[0]);
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}
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#ifdef OPTIMIZE_FOR_ATOD
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if ((64 - nlz32(q[1])) > doubleMantissaBits)
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{
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// we need to divide quotient by 2 to make it fit
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res = -1; // let caller know we made this adjustment
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uint32_t saved_q0 = q[0];
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q[0] = (q[0] >> 1) | (q[1] << 31);
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q[1] = q[1] >> 1;
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if (0 == (saved_q0 & 1))
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return res; // no need to round
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// now the remainder is >= 0.5
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// if un is 0, then the remainder is 0.5
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// otherwise it is > 0.5
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if ((k & UINT32_MAX) != 0)
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goto round_up; // (2 * remainder) > divisor, round
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// continue with check for round_even
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if ((q[0] & 1) == 1)
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goto round_up; // round to even
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return res;
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}
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#endif
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// rounding
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k = (k & UINT32_MAX) * 2; // k is now 2 * remainder
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if ((k > v[0]) || ((k == v[0]) && ((q[0] & 1) == 1)))
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{
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round_up:
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i = 0;
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do
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{
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t = (uint64_t)q[i] + 1;
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q[i++] = t;
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} while ((t > UINT32_MAX) && (i < (m - n + 1)));
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}
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return res;
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}
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/* Normalize by shifting v left just enough so that its high-order
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bit is on, and shift u left the same amount. We may have to append a
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high-order digit on the dividend; we do that unconditionally. */
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s = nlz32(v[n-1]); // 0 <= s <= 31.
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if (n > BIGNUM_JUMBO_SIZE_UINT32) return 1;
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for (i = n - 1; i > 0; i--)
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vn[i] = (v[i] << s) | ((uint64_t)v[i-1] >> (32-s));
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vn[0] = v[0] << s;
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if ((m + 1) > BIGNUM_JUMBO_SIZE_UINT32) return 1;
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un[m] = (uint64_t)u[m-1] >> (32-s);
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for (i = m - 1; i > 0; i--)
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un[i] = (u[i] << s) | ((uint64_t)u[i-1] >> (32-s));
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un[0] = u[0] << s;
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for (j = m - n; j >= 0; j--) // Main loop.
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{
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// Compute estimate qhat of q[j].
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qhat = (un[j+n]*b + un[j+n-1]) / vn[n-1];
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rhat = (un[j+n]*b + un[j+n-1]) - qhat*vn[n-1];
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again:
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if (qhat >= b || qhat*vn[n-2] > b*rhat + un[j+n-2])
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{
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qhat = qhat - 1;
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rhat = rhat + vn[n-1];
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if (rhat < b) goto again;
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}
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// Multiply and subtract.
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k = 0;
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for (i = 0; i < n; i++)
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{
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p = qhat * vn[i];
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un[i+j] -= k;
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k = (un[i+j] > (UINT32_MAX - k)) ? 1 : 0;
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un[i+j] -= (p & UINT32_MAX);
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if (un[i+j] > (UINT32_MAX - (p & UINT32_MAX))) k++;
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k += (p >> 32);
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}
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un[j+n] -= k;
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q[j] = qhat; // Store quotient digit.
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if (un[j+n]) // If we subtracted too
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{
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q[j] = q[j] - 1; // much, add back.
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k = 0;
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for (i = 0; i < n; i++)
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{
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t = (uint64_t)un[i+j] + vn[i] + k;
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un[i+j] = t;
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k = t >> 32;
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}
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un[j+n] = un[j+n] + k;
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}
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} // End j.
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#ifdef OPTIMIZE_FOR_ATOD
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if ((64 - nlz32(q[1])) > doubleMantissaBits)
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{
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// we need to divide quotient by 2 to make it fit
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res = -1; // let caller know we made this adjustment
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uint32_t saved_q0 = q[0];
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q[0] = (q[0] >> 1) | (q[1] << 31);
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q[1] = q[1] >> 1;
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if (0 == (saved_q0 & 1))
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return -1; // no need to round
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// now the remainder is >= 0.5
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// if un is 0, then the remainder is 0.5
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// otherwise it is > 0.5
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for (i = n-1; i >= 0; i--)
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{
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if (un[i] != 0)
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goto round_up; // (2 * remainder) > divisor, round
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}
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// continue with check for round_even
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}
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else
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#endif
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{
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// Rounding: multiply the remainder by 2 and compare with the divisor
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//
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if (un[n-1] > (UINT32_MAX / 2u))
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goto round_up;
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for (i = n-1; i > 0; i--)
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{
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uint32_t ud = (un[i] << 1) | (un[i-1] >> 31);
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if (ud > vn[i])
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goto round_up; // (2 * remainder) > divisor, round
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if (ud < vn[i])
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return 0; // (2 * remainder) < divisor, done
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}
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if ((un[0] << 1) > vn[0])
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goto round_up; // (2 * remainder) > divisor, round
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if ((un[0] << 1) < vn[0])
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return 0; // (2 * remainder) < divisor, done
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}
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// Check for round to even
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// (2 * remainder) == divisor
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if ((q[0] & 1) == 1) goto round_up; // round to even
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return res;
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}
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#if TESTING_QUOREM
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void print_bigint (const char *nm, const uint32_t num[], const int n)
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{
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int i;
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printf("%s: ", nm);
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for (i = 0; i < n; i++)
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printf("%u ", num[i]);
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printf("\n");
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}
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#endif
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static inline void one_shiftLeft (uint32_t v[], int s)
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{
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int x = 0;
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while (s >= 32) { v[x++] = 0; s -= 32; }
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v[x] = 1u << s;
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}
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static inline void scl_shift_left_by (uint32_t v[], const uint32_t x[], int sz, int s)
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{
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// v and x may be identical
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int w = s / 32; // words to shift
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int b = s % 32; // bits to shift
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int i;
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QUODBG(printf("scl_shift_left_by sz %d shift %d (%d %d)\n", sz, s, w, b));
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// sz is the size of the result, v
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// x is guaranteed to be appropriately sized to provide enough data
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// this is a dumb api but works for now
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// first copy words
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v[sz - 1] = 0u;
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for (i = sz - 2; i >= 0; i--)
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{
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v[i] = ((i - w) >= 0) ? x[i - w] : 0u;
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}
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// then shift bits
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for (i = sz - 1; i > 0; i--)
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{
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v[i] = (v[i] << b) | (v[i - 1] >> (32 - b));
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}
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v[0] = (v[0] << b);
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}
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static inline void u64_shiftLeft (uint32_t v[], uint64_t n, int sz, int s)
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{
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uint64_t ns;
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int x = 0;
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if (s >= 0)
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{
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while (s >= 32) { v[x++] = 0; s -= 32; }
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ns = n << s;
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v[x++] = (ns & UINT32_MAX);
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if (x < sz) // -- don't write past end of v[], caller determined size needed
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{
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v[x++] = (ns >> 32);
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if (x < sz && s != 0) // no more data if s == 0
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v[x] = n >> (64 - s);
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}
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}
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}
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static inline double doubleValue (uint32_t v[])
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{
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// only the fist 64-bits of v[] are used; caller has determined that's all that's needed
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return (double )((uint64_t )v[0] + ((uint64_t )v[1] << 32));
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}
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static inline int bitLength (const uint32_t v[], int sz_in_32bit_words)
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{
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int x = sz_in_32bit_words - 1;
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while ((v[x] == 0) && (x > 0)) x = x - 1;
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return (x * 32) + (32 - nlz32(v[x]));
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}
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static inline void mulbyu64 (uint32_t p[], const uint64_t u64mant, const uint32_t m[], int z)
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{
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// p is z+2 32-bit words
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// m is z 32-bit words
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// TODO: could this be optimized to use 128 bit math on platforms that support it?
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uint64_t lo = u64mant & UINT32_MAX;
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uint64_t hi = u64mant >> 32;
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uint64_t a = 0;
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int i;
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|
||||
for (i = 0; i < z; i++)
|
||||
{
|
||||
a += lo * m[i];
|
||||
p[i] = a & UINT32_MAX;
|
||||
a = a >> 32;
|
||||
}
|
||||
p[z] = a;
|
||||
//p[z+1] = 0;
|
||||
a = 0;
|
||||
if (hi > 0) for (i = 0; i < z; i++)
|
||||
{
|
||||
a += (hi * m[i]) + p[i+1]; // this always (just) fits in 64 bits
|
||||
p[i+1] = (a & UINT32_MAX);
|
||||
a = a >> 32;
|
||||
}
|
||||
p[z+1] = a;
|
||||
}
|
||||
|
||||
/* atod_guts
|
||||
** input: u64mant dpoint
|
||||
** result: u64mant * 10**dpoint
|
||||
**
|
||||
** case dpoint >= 0:
|
||||
** reframe as: u64mant * 5**dpoint * 2**dpoint
|
||||
** if (u64mant * 5**dpoint) is less than 53 bits
|
||||
** then the answer is just scalb(u64mant * 5**dpoint, dpoint)
|
||||
** else
|
||||
** calculate bex = the bit length of (u64mant * 5**dpoint)
|
||||
** divide and round: (u64mant * 5**dpoint) / 2**bex
|
||||
** the answer is scalb(u64mant * 5**dpoint, bex + dpoint)
|
||||
** case dpoint < 0
|
||||
** reframe as: (u64mant / (5**(-dpoint)) / 2**(-dpoint)
|
||||
*/
|
||||
double atod_guts (uint64_t u64mant, int dpoint)
|
||||
{
|
||||
const uint32_t *pow5p;
|
||||
uint32_t num[BIGNUM_JUMBO_SIZE_UINT32]; // up to (log (expt 5 325) 2) = 755 bits => ~104 bytes
|
||||
uint32_t scl[BIGNUM_NORMAL_SIZE_UINT32];
|
||||
uint32_t quo[BIGNUM_QUOTIENT_SIZE_UINT32];
|
||||
int n, m; // as per quornd: n is size of divisor, m is size of dividend in 32-bit words
|
||||
int z; // z is size of pow5p in 32-bit words
|
||||
int bex; // binary exponentish
|
||||
|
||||
QUODBG(fprintf(stderr, "mant: %llu dp: %d\n", u64mant, dpoint));
|
||||
|
||||
if (dpoint >= 0)
|
||||
{
|
||||
int r = get_pow5(dpoint, &pow5p, &z);
|
||||
if (r) return 0.0/0.0; // NaN for bad input -- TODO: use inf for excessive +exponents?
|
||||
m = z + 2; // size is sum of lengths of multiplicands
|
||||
if (m > BIGNUM_JUMBO_SIZE_UINT32) { n = 0; goto atod_fail; }
|
||||
mulbyu64(num, u64mant, pow5p, z); // num = pow5 * u64mant
|
||||
bex = bitLength(num, m) - doubleMantissaBits;
|
||||
if (bex <= 0) return scalb(doubleValue(num), dpoint);
|
||||
QUODBG(fprintf(stderr, "+ bex: %d z: %d m: %d\n", bex, z, m));
|
||||
n = (bex / 32) + 1; // 32-bit words needed to hold 1 << bex
|
||||
m = (bex + doubleMantissaBits + 31) / 32; // we may be able to shrink by a word
|
||||
if (n > BIGNUM_NORMAL_SIZE_UINT32) goto atod_fail;
|
||||
one_shiftLeft(scl, bex);
|
||||
if ((m - n + 1) > BIGNUM_QUOTIENT_SIZE_UINT32) goto atod_fail;
|
||||
QUODBG(fprintf(stderr, "+ n: %d m: %d q: %d\n", n, m, m - n + 1));
|
||||
if (quornd(quo, num, scl, m, n))
|
||||
{
|
||||
QUODBG(fprintf(stderr, "+ quornd returned error\n"));
|
||||
return 0.0/0.0; // NaN for bad input or software error
|
||||
}
|
||||
QUODBG(print_bigint("num", num, m));
|
||||
QUODBG(print_bigint("scl", scl, n));
|
||||
QUODBG(print_bigint("quo", quo, m - n + 1));
|
||||
return scalb(doubleValue(quo), bex + dpoint);
|
||||
}
|
||||
else
|
||||
{
|
||||
int bma = 64 - nlz64(u64mant); // bits in mantissa
|
||||
int r = get_pow5(-dpoint, &pow5p, &z);
|
||||
if (r) return 0.0/0.0; // NaN for bad input -- TODO: use 0.0 for excessive -exponents?
|
||||
bex = bma - bitLength(pow5p, z) - doubleMantissaBits;
|
||||
if (bex > 0)
|
||||
{
|
||||
// to avoid losing significant bits, which could occur in the u64_shiftLeft below
|
||||
// instead of shifting num right, let's shift pow5 left
|
||||
// DANGER Will Robinson! We are aliasing pow5p and scl -- this is OK since
|
||||
// the only place below they are both used in the same statement or call is
|
||||
// scl_shift_left_by(), which is designed to handle aliased pointers
|
||||
// and which doesn't happen at all if OPTIMIZE_FOR_ATOD is defined
|
||||
//
|
||||
m = 2;
|
||||
if (m > BIGNUM_JUMBO_SIZE_UINT32) { n = 0; goto atod_fail; }
|
||||
num[0] = u64mant & UINT32_MAX;
|
||||
num[1] = u64mant >> 32;
|
||||
// use z+1 because scl_shift_left_by my shift by as many as 10 bits (64 - 1 - 53)
|
||||
if ((z + 1) > BIGNUM_NORMAL_SIZE_UINT32) { n = 0; goto atod_fail; }
|
||||
scl_shift_left_by(scl, pow5p, z + 1, bex);
|
||||
QUODBG(print_bigint("scl", scl, z + 1));
|
||||
n = (bitLength(scl, z + 1) + 31) / 32;
|
||||
pow5p = scl; // DANGER Will Robinson! -- see above
|
||||
QUODBG(fprintf(stderr, "- bma %d bex: %d z: %d m: %d n: %d\n", bma, bex, z, m, n));
|
||||
}
|
||||
else
|
||||
{
|
||||
m = (((bma - bex) + 31) / 32); // u64mant << -bex
|
||||
if (m > BIGNUM_JUMBO_SIZE_UINT32) { n = 0; goto atod_fail; }
|
||||
QUODBG(fprintf(stderr, "- bma %d bex: %d z: %d m: %d\n", bma, bex, z, m));
|
||||
u64_shiftLeft(num, u64mant, m, -bex);
|
||||
n = z;
|
||||
}
|
||||
if ((m - n + 1) > BIGNUM_QUOTIENT_SIZE_UINT32) goto atod_fail;
|
||||
QUODBG(fprintf(stderr, "- n: %d m: %d q: %d\n", n, m, m - n + 1));
|
||||
r = quornd(quo, num, pow5p, m, n);
|
||||
if (r > 0)
|
||||
{
|
||||
QUODBG(fprintf(stderr, "- quornd returned error\n"));
|
||||
return 0.0/0.0; // NaN for bad input
|
||||
}
|
||||
QUODBG(print_bigint("num", num, m));
|
||||
QUODBG(print_bigint("pow5p", pow5p, n));
|
||||
QUODBG(print_bigint("quo", quo, m - n + 1));
|
||||
#ifdef OPTIMIZE_FOR_ATOD
|
||||
QUODBG(fprintf(stderr, "- r: %d\n", r));
|
||||
if (r < 0)
|
||||
{
|
||||
bex++;
|
||||
}
|
||||
#else
|
||||
bma = 64 - nlz64(doubleValue(quo));
|
||||
if (bma > doubleMantissaBits)
|
||||
{
|
||||
bex++;
|
||||
n = (pow5p[z-1] > (UINT32_MAX / 2u)) ? z + 1 : z;
|
||||
// use z+2 because mulbyu64 will set those words even though they may be zero
|
||||
if ((z + 2) > BIGNUM_NORMAL_SIZE_UINT32) goto atod_fail;
|
||||
QUODBG(fprintf(stderr, "- n: %d m: %d q: %d bma: %d\n", n, m, m - n + 1, bma));
|
||||
scl_shift_left_by(scl, pow5p, z + 1, 1);
|
||||
if (quornd(quo, num, scl, m, n))
|
||||
{
|
||||
QUODBG(fprintf(stderr, "- quornd returned error; v[n-1]: %u\n", scl[n-1]));
|
||||
return 0.0/0.0; // NaN for bad input
|
||||
}
|
||||
QUODBG(print_bigint("num", num, m));
|
||||
QUODBG(print_bigint("scl", scl, n));
|
||||
QUODBG(print_bigint("quo", quo, m - n + 1));
|
||||
}
|
||||
#endif
|
||||
return scalb(doubleValue(quo), bex + dpoint);
|
||||
}
|
||||
atod_fail:
|
||||
QUODBG(fprintf(stderr, "atod_guts undersized bignum n: %d m: %d\n", n, m));
|
||||
return 0.0/0.0; // NaN for bad input
|
||||
}
|
||||
|
||||
/*
|
||||
double strtod(const char *nptr, char **endptr);
|
||||
The expected form of the (initial portion of the) string is optional
|
||||
leading white space as recognized by isspace(3), an optional plus
|
||||
('+') or minus sign ('-') and then either (i) a decimal number, or
|
||||
(ii) a hexadecimal number, or (iii) an infinity, or (iv) a NAN (not-
|
||||
a-number).
|
||||
|
||||
A decimal number consists of a nonempty sequence of decimal digits
|
||||
possibly containing a radix character (decimal point, locale-
|
||||
dependent, usually '.'), optionally followed by a decimal exponent.
|
||||
A decimal exponent consists of an 'E' or 'e', followed by an optional
|
||||
plus or minus sign, followed by a nonempty sequence of decimal
|
||||
digits, and indicates multiplication by a power of 10.
|
||||
|
||||
A hexadecimal number consists of a "0x" or "0X" followed by a
|
||||
nonempty sequence of hexadecimal digits possibly containing a radix
|
||||
character, optionally followed by a binary exponent. A binary
|
||||
exponent consists of a 'P' or 'p', followed by an optional plus or
|
||||
minus sign, followed by a nonempty sequence of decimal digits, and
|
||||
indicates multiplication by a power of 2. At least one of radix
|
||||
character and binary exponent must be present.
|
||||
|
||||
An infinity is either "INF" or "INFINITY", disregarding case.
|
||||
|
||||
A NAN is "NAN" (disregarding case) optionally followed by a string,
|
||||
(n-char-sequence), where n-char-sequence specifies in an
|
||||
implementation-dependent way the type of NAN (see NOTES).
|
||||
|
||||
These functions return the converted value, if any.
|
||||
|
||||
If endptr is not NULL, a pointer to the character after the last
|
||||
character used in the conversion is stored in the location referenced
|
||||
by endptr.
|
||||
|
||||
If no conversion is performed, zero is returned and the value of nptr
|
||||
is stored in the location referenced by endptr.
|
||||
|
||||
If the correct value would cause overflow, plus or minus HUGE_VAL
|
||||
(HUGE_VALF, HUGE_VALL) is returned (according to the sign of the
|
||||
value), and ERANGE is stored in errno. If the correct value would
|
||||
cause underflow, zero is returned and ERANGE is stored in errno.
|
||||
*/
|
||||
|
||||
double emyg_strtod(const char *nptr, char **endptr)
|
||||
{
|
||||
const char *cp = nptr;
|
||||
double res;
|
||||
uint64_t mant; // mantissa
|
||||
int minus = 0; // mantissa minus
|
||||
int dadp = 0; // digits after decimal point
|
||||
int expt = 0; // explicit exponent
|
||||
int expm = 0; // exponent minus
|
||||
char c;
|
||||
|
||||
while (isspace(c = *cp++)) /*skip*/;
|
||||
|
||||
if ('-' == c) { minus = 1; c = *cp++; }
|
||||
else if ('+' == c) { c = *cp++; }
|
||||
else {}
|
||||
|
||||
if (('n' == c || 'N' == c)
|
||||
&& ('a' == cp[0] || 'A' == cp[0])
|
||||
&& ('n' == cp[1] || 'N' == cp[1]))
|
||||
{
|
||||
// for Scheme allow (require?) ".0"
|
||||
if ('.' == cp[2] && '0' == cp[3]) cp = &cp[4];
|
||||
else cp = &cp[2];
|
||||
res = 0.0/0.0;
|
||||
}
|
||||
else
|
||||
if (('i' == c || 'I' == c)
|
||||
&& ('n' == cp[0] || 'N' == cp[0])
|
||||
&& ('f' == cp[1] || 'F' == cp[1]))
|
||||
{
|
||||
// for Scheme allow (require?) ".0"
|
||||
if ('.' == cp[2] && '0' == cp[3]) cp = &cp[4];
|
||||
else cp = &cp[2];
|
||||
res = 1.0/0.0;
|
||||
// TODO: allow "INITY"
|
||||
}
|
||||
else if ('.' == c)
|
||||
{
|
||||
mant = 0;
|
||||
goto after_dp;
|
||||
}
|
||||
else if (isdigit(c))
|
||||
{
|
||||
mant = c - '0'; // mantissa
|
||||
while (isdigit(c = *cp++))
|
||||
{
|
||||
uint8_t d = c - '0';
|
||||
if (mant <= (UINT64_MAX / 10)) mant *= 10;
|
||||
else
|
||||
{
|
||||
if (0 == d) expt += 1;
|
||||
else
|
||||
{
|
||||
QUODBG(fprintf(stderr, "- overlow in emyg_strtod 1\n"));
|
||||
goto no_conv;
|
||||
}
|
||||
}
|
||||
if (mant <= (UINT64_MAX - d)) mant += d;
|
||||
else
|
||||
{
|
||||
QUODBG(fprintf(stderr, "- overlow in emyg_strtod 2\n"));
|
||||
goto no_conv;
|
||||
}
|
||||
}
|
||||
if ('.' == c)
|
||||
{
|
||||
after_dp:
|
||||
while (isdigit(c = *cp++))
|
||||
{
|
||||
uint8_t d = c - '0';
|
||||
if (mant <= (UINT64_MAX / 10)) mant *= 10;
|
||||
else
|
||||
{
|
||||
if (0 == d)
|
||||
{
|
||||
/* ignore trailing zeroes by not scaling nor bumping dadp */
|
||||
continue;
|
||||
}
|
||||
else
|
||||
{
|
||||
QUODBG(fprintf(stderr, "- overlow in emyg_strtod 3\n"));
|
||||
//goto no_conv;
|
||||
continue; // ignore extra digits
|
||||
}
|
||||
}
|
||||
if (mant <= (UINT64_MAX - d)) mant += d;
|
||||
else
|
||||
{
|
||||
QUODBG(fprintf(stderr, "- overlow in emyg_strtod 4\n"));
|
||||
//goto no_conv;
|
||||
continue; // ignore extra digits
|
||||
}
|
||||
dadp++;
|
||||
}
|
||||
}
|
||||
if ('e' == c || 'E' == c)
|
||||
{
|
||||
c = *cp++;
|
||||
if ('-' == c) { expm = 1; c = *cp++; }
|
||||
else if ('+' == c) { c = *cp++; }
|
||||
else {}
|
||||
|
||||
if (isdigit(c))
|
||||
{
|
||||
expt += c - '0';
|
||||
while (isdigit(c = *cp++))
|
||||
{
|
||||
uint8_t d = c - '0';
|
||||
if (expt <= (INT_MAX / 10)) expt *= 10;
|
||||
else
|
||||
{
|
||||
QUODBG(fprintf(stderr, "- overlow in emyg_strtod\n"));
|
||||
goto no_conv;
|
||||
}
|
||||
if (expt <= (INT_MAX - d)) expt += d;
|
||||
else
|
||||
{
|
||||
QUODBG(fprintf(stderr, "- overlow in emyg_strtod\n"));
|
||||
goto no_conv;
|
||||
}
|
||||
}
|
||||
}
|
||||
else
|
||||
{
|
||||
// oops, not an exp at all
|
||||
c = *--cp;
|
||||
if (('-' == c) || ('+' == c)) --cp;
|
||||
res = 0.0;
|
||||
}
|
||||
}
|
||||
if (expm) expt = -expt;
|
||||
res = atod_guts(mant, expt - dadp);
|
||||
}
|
||||
else // no conversion
|
||||
{
|
||||
no_conv:
|
||||
cp = nptr + 1;
|
||||
res = 0.0;
|
||||
}
|
||||
if (NULL != endptr) *endptr = (char *)--cp;
|
||||
return minus ? -res : res;
|
||||
}
|
||||
|
||||
#ifdef TESTING_QUOREM
|
||||
|
||||
int main (int argc, char **argv)
|
||||
{
|
||||
if ((argc == 4) && (0 == strcmp(argv[1], "-p")))
|
||||
{
|
||||
char *p;
|
||||
double d = atod_guts(strtoull(argv[2], &p, 10), strtol(argv[3], &p, 10));
|
||||
printf("%.17g %a\n", d, d);
|
||||
return 0;
|
||||
}
|
||||
|
||||
if ((argc == 3) && (0 == strcmp(argv[1], "-s")))
|
||||
{
|
||||
char *p;
|
||||
double d = emyg_strtod(argv[2], &p);
|
||||
printf("%.17g %a\n", d, d);
|
||||
return 0;
|
||||
}
|
||||
return 0;
|
||||
}
|
||||
|
||||
#endif
|
||||
|
|
@ -0,0 +1,12 @@
|
|||
/* emyg_atod.h */
|
||||
|
||||
|
||||
#ifdef __cplusplus
|
||||
extern "C" {
|
||||
#endif
|
||||
|
||||
double emyg_strtod (const char *nptr, char **endptr);
|
||||
|
||||
#ifdef __cplusplus
|
||||
}
|
||||
#endif
|
||||
|
|
@ -0,0 +1,441 @@
|
|||
/* emyg_dtoa.c
|
||||
** Copyright (C) 2015 Doug Currie
|
||||
** based on dtoa_milo.h
|
||||
** Copyright (C) 2014 Milo Yip
|
||||
**
|
||||
** Permission is hereby granted, free of charge, to any person obtaining a copy
|
||||
** of this software and associated documentation files (the "Software"), to deal
|
||||
** in the Software without restriction, including without limitation the rights
|
||||
** to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
|
||||
** copies of the Software, and to permit persons to whom the Software is
|
||||
** furnished to do so, subject to the following conditions:
|
||||
**
|
||||
** The above copyright notice and this permission notice shall be included in
|
||||
** all copies or substantial portions of the Software.
|
||||
**
|
||||
** 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 AND NONINFRINGEMENT. IN NO EVENT SHALL THE
|
||||
** AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
|
||||
** LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
|
||||
** OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
|
||||
** THE SOFTWARE.
|
||||
*/
|
||||
|
||||
/* This code is a mostly mechanical translation of Milo Yip's C++ version of
|
||||
** Grisu2 to C. For algorithm information, see Loitsch, Florian. "Printing
|
||||
** floating-point numbers quickly and accurately with integers." ACM Sigplan
|
||||
** Notices 45.6 (2010): 233-243.
|
||||
*/
|
||||
|
||||
#include <assert.h>
|
||||
#include <math.h>
|
||||
|
||||
#if defined(_MSC_VER)
|
||||
#include "msinttypes/stdint.h"
|
||||
#include <intrin.h>
|
||||
#else
|
||||
#include <stdint.h>
|
||||
#endif
|
||||
|
||||
#include <string.h>
|
||||
|
||||
#include "emyg_dtoa.h"
|
||||
|
||||
#define UINT64_C2(h, l) (((uint64_t )(h) << 32) | (uint64_t )(l))
|
||||
|
||||
typedef struct DiyFp_s {
|
||||
uint64_t f;
|
||||
int e;
|
||||
} DiyFp;
|
||||
|
||||
static const int kDiySignificandSize = 64;
|
||||
static const int kDpSignificandSize = 52;
|
||||
static const int kDpExponentBias = 0x3FF + kDpSignificandSize;
|
||||
static const int kDpMinExponent = -kDpExponentBias;
|
||||
static const uint64_t kDpExponentMask = UINT64_C2(0x7FF00000, 0x00000000);
|
||||
static const uint64_t kDpSignificandMask = UINT64_C2(0x000FFFFF, 0xFFFFFFFF);
|
||||
static const uint64_t kDpHiddenBit = UINT64_C2(0x00100000, 0x00000000);
|
||||
|
||||
static inline DiyFp DiyFp_from_parts (uint64_t f, int e) {
|
||||
DiyFp fp;
|
||||
fp.f = f;
|
||||
fp.e = e;
|
||||
return fp;
|
||||
}
|
||||
|
||||
DiyFp DiyFp_from_double (double d) {
|
||||
union {
|
||||
double d;
|
||||
uint64_t u64;
|
||||
} u = { d };
|
||||
DiyFp res;
|
||||
|
||||
int biased_e = (u.u64 & kDpExponentMask) >> kDpSignificandSize;
|
||||
uint64_t significand = (u.u64 & kDpSignificandMask);
|
||||
if (biased_e != 0) {
|
||||
res.f = significand + kDpHiddenBit;
|
||||
res.e = biased_e - kDpExponentBias;
|
||||
}
|
||||
else {
|
||||
res.f = significand;
|
||||
res.e = kDpMinExponent + 1;
|
||||
}
|
||||
return res;
|
||||
}
|
||||
|
||||
static inline DiyFp DiyFp_subtract (const DiyFp lhs, const DiyFp rhs) {
|
||||
assert(lhs.e == rhs.e);
|
||||
assert(lhs.f >= rhs.f);
|
||||
return DiyFp_from_parts(lhs.f - rhs.f, lhs.e);
|
||||
}
|
||||
|
||||
static inline DiyFp DiyFp_multiply (const DiyFp lhs, const DiyFp rhs) {
|
||||
#if defined(_MSC_VER) && defined(_M_AMD64)
|
||||
uint64_t h;
|
||||
uint64_t l = _umul128(lhs.f, rhs.f, &h);
|
||||
if (l & (uint64_t(1) << 63)) // rounding
|
||||
h++;
|
||||
return DiyFp_fro_parts(h, e + rhs.e + 64);
|
||||
#elif (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 6)) && defined(__x86_64__)
|
||||
unsigned __int128 p = (unsigned __int128 )(lhs.f) * (unsigned __int128 )(rhs.f);
|
||||
uint64_t h = p >> 64;
|
||||
uint64_t l = (uint64_t )(p);
|
||||
if (l & (uint64_t(1) << 63)) // rounding
|
||||
h++;
|
||||
return DiyFp_from_parts(h, e + rhs.e + 64);
|
||||
#else
|
||||
const uint64_t M32 = 0xFFFFFFFF;
|
||||
const uint64_t a = lhs.f >> 32;
|
||||
const uint64_t b = lhs.f & M32;
|
||||
const uint64_t c = rhs.f >> 32;
|
||||
const uint64_t d = rhs.f & M32;
|
||||
const uint64_t ac = a * c;
|
||||
const uint64_t bc = b * c;
|
||||
const uint64_t ad = a * d;
|
||||
const uint64_t bd = b * d;
|
||||
uint64_t tmp = (bd >> 32) + (ad & M32) + (bc & M32);
|
||||
tmp += 1U << 31; /// mult_round
|
||||
return DiyFp_from_parts(ac + (ad >> 32) + (bc >> 32) + (tmp >> 32), lhs.e + rhs.e + 64);
|
||||
#endif
|
||||
}
|
||||
|
||||
static inline DiyFp Normalize (const DiyFp lhs) {
|
||||
#if defined(_MSC_VER) && defined(_M_AMD64)
|
||||
unsigned long index;
|
||||
_BitScanReverse64(&index, lhs.f);
|
||||
return DiyFp_from_parts(lhs.f << (63 - index), lhs.e - (63 - index));
|
||||
#elif defined(__GNUC__)
|
||||
int s = __builtin_clzll(lhs.f);
|
||||
return DiyFp_from_parts(lhs.f << s, lhs.e - s);
|
||||
#else
|
||||
DiyFp res = lhs;
|
||||
while (!(res.f & kDpHiddenBit)) {
|
||||
res.f <<= 1;
|
||||
res.e--;
|
||||
}
|
||||
res.f <<= (kDiySignificandSize - kDpSignificandSize - 1);
|
||||
res.e = res.e - (kDiySignificandSize - kDpSignificandSize - 1);
|
||||
return res;
|
||||
#endif
|
||||
}
|
||||
|
||||
static inline DiyFp NormalizeBoundary (const DiyFp lhs) {
|
||||
#if defined(_MSC_VER) && defined(_M_AMD64)
|
||||
unsigned long index;
|
||||
_BitScanReverse64(&index, lhs.f);
|
||||
return DiyFp_from_parts(lhs.f << (63 - index), lhs.e - (63 - index));
|
||||
#else
|
||||
DiyFp res = lhs;
|
||||
while (!(res.f & (kDpHiddenBit << 1))) {
|
||||
res.f <<= 1;
|
||||
res.e--;
|
||||
}
|
||||
res.f <<= (kDiySignificandSize - kDpSignificandSize - 2);
|
||||
res.e = res.e - (kDiySignificandSize - kDpSignificandSize - 2);
|
||||
return res;
|
||||
#endif
|
||||
}
|
||||
|
||||
static inline void NormalizedBoundaries (DiyFp lhs, DiyFp* minus, DiyFp* plus) {
|
||||
DiyFp pl = NormalizeBoundary(DiyFp_from_parts((lhs.f << 1) + 1, lhs.e - 1));
|
||||
DiyFp mi = (lhs.f == kDpHiddenBit)
|
||||
? DiyFp_from_parts((lhs.f << 2) - 1, lhs.e - 2)
|
||||
: DiyFp_from_parts((lhs.f << 1) - 1, lhs.e - 1);
|
||||
mi.f <<= mi.e - pl.e;
|
||||
mi.e = pl.e;
|
||||
*plus = pl;
|
||||
*minus = mi;
|
||||
}
|
||||
|
||||
static inline DiyFp GetCachedPower (int e, int* K) {
|
||||
// 10^-348, 10^-340, ..., 10^340
|
||||
static const uint64_t kCachedPowers_F[] = {
|
||||
UINT64_C2(0xfa8fd5a0, 0x081c0288), UINT64_C2(0xbaaee17f, 0xa23ebf76),
|
||||
UINT64_C2(0x8b16fb20, 0x3055ac76), UINT64_C2(0xcf42894a, 0x5dce35ea),
|
||||
UINT64_C2(0x9a6bb0aa, 0x55653b2d), UINT64_C2(0xe61acf03, 0x3d1a45df),
|
||||
UINT64_C2(0xab70fe17, 0xc79ac6ca), UINT64_C2(0xff77b1fc, 0xbebcdc4f),
|
||||
UINT64_C2(0xbe5691ef, 0x416bd60c), UINT64_C2(0x8dd01fad, 0x907ffc3c),
|
||||
UINT64_C2(0xd3515c28, 0x31559a83), UINT64_C2(0x9d71ac8f, 0xada6c9b5),
|
||||
UINT64_C2(0xea9c2277, 0x23ee8bcb), UINT64_C2(0xaecc4991, 0x4078536d),
|
||||
UINT64_C2(0x823c1279, 0x5db6ce57), UINT64_C2(0xc2109436, 0x4dfb5637),
|
||||
UINT64_C2(0x9096ea6f, 0x3848984f), UINT64_C2(0xd77485cb, 0x25823ac7),
|
||||
UINT64_C2(0xa086cfcd, 0x97bf97f4), UINT64_C2(0xef340a98, 0x172aace5),
|
||||
UINT64_C2(0xb23867fb, 0x2a35b28e), UINT64_C2(0x84c8d4df, 0xd2c63f3b),
|
||||
UINT64_C2(0xc5dd4427, 0x1ad3cdba), UINT64_C2(0x936b9fce, 0xbb25c996),
|
||||
UINT64_C2(0xdbac6c24, 0x7d62a584), UINT64_C2(0xa3ab6658, 0x0d5fdaf6),
|
||||
UINT64_C2(0xf3e2f893, 0xdec3f126), UINT64_C2(0xb5b5ada8, 0xaaff80b8),
|
||||
UINT64_C2(0x87625f05, 0x6c7c4a8b), UINT64_C2(0xc9bcff60, 0x34c13053),
|
||||
UINT64_C2(0x964e858c, 0x91ba2655), UINT64_C2(0xdff97724, 0x70297ebd),
|
||||
UINT64_C2(0xa6dfbd9f, 0xb8e5b88f), UINT64_C2(0xf8a95fcf, 0x88747d94),
|
||||
UINT64_C2(0xb9447093, 0x8fa89bcf), UINT64_C2(0x8a08f0f8, 0xbf0f156b),
|
||||
UINT64_C2(0xcdb02555, 0x653131b6), UINT64_C2(0x993fe2c6, 0xd07b7fac),
|
||||
UINT64_C2(0xe45c10c4, 0x2a2b3b06), UINT64_C2(0xaa242499, 0x697392d3),
|
||||
UINT64_C2(0xfd87b5f2, 0x8300ca0e), UINT64_C2(0xbce50864, 0x92111aeb),
|
||||
UINT64_C2(0x8cbccc09, 0x6f5088cc), UINT64_C2(0xd1b71758, 0xe219652c),
|
||||
UINT64_C2(0x9c400000, 0x00000000), UINT64_C2(0xe8d4a510, 0x00000000),
|
||||
UINT64_C2(0xad78ebc5, 0xac620000), UINT64_C2(0x813f3978, 0xf8940984),
|
||||
UINT64_C2(0xc097ce7b, 0xc90715b3), UINT64_C2(0x8f7e32ce, 0x7bea5c70),
|
||||
UINT64_C2(0xd5d238a4, 0xabe98068), UINT64_C2(0x9f4f2726, 0x179a2245),
|
||||
UINT64_C2(0xed63a231, 0xd4c4fb27), UINT64_C2(0xb0de6538, 0x8cc8ada8),
|
||||
UINT64_C2(0x83c7088e, 0x1aab65db), UINT64_C2(0xc45d1df9, 0x42711d9a),
|
||||
UINT64_C2(0x924d692c, 0xa61be758), UINT64_C2(0xda01ee64, 0x1a708dea),
|
||||
UINT64_C2(0xa26da399, 0x9aef774a), UINT64_C2(0xf209787b, 0xb47d6b85),
|
||||
UINT64_C2(0xb454e4a1, 0x79dd1877), UINT64_C2(0x865b8692, 0x5b9bc5c2),
|
||||
UINT64_C2(0xc83553c5, 0xc8965d3d), UINT64_C2(0x952ab45c, 0xfa97a0b3),
|
||||
UINT64_C2(0xde469fbd, 0x99a05fe3), UINT64_C2(0xa59bc234, 0xdb398c25),
|
||||
UINT64_C2(0xf6c69a72, 0xa3989f5c), UINT64_C2(0xb7dcbf53, 0x54e9bece),
|
||||
UINT64_C2(0x88fcf317, 0xf22241e2), UINT64_C2(0xcc20ce9b, 0xd35c78a5),
|
||||
UINT64_C2(0x98165af3, 0x7b2153df), UINT64_C2(0xe2a0b5dc, 0x971f303a),
|
||||
UINT64_C2(0xa8d9d153, 0x5ce3b396), UINT64_C2(0xfb9b7cd9, 0xa4a7443c),
|
||||
UINT64_C2(0xbb764c4c, 0xa7a44410), UINT64_C2(0x8bab8eef, 0xb6409c1a),
|
||||
UINT64_C2(0xd01fef10, 0xa657842c), UINT64_C2(0x9b10a4e5, 0xe9913129),
|
||||
UINT64_C2(0xe7109bfb, 0xa19c0c9d), UINT64_C2(0xac2820d9, 0x623bf429),
|
||||
UINT64_C2(0x80444b5e, 0x7aa7cf85), UINT64_C2(0xbf21e440, 0x03acdd2d),
|
||||
UINT64_C2(0x8e679c2f, 0x5e44ff8f), UINT64_C2(0xd433179d, 0x9c8cb841),
|
||||
UINT64_C2(0x9e19db92, 0xb4e31ba9), UINT64_C2(0xeb96bf6e, 0xbadf77d9),
|
||||
UINT64_C2(0xaf87023b, 0x9bf0ee6b)
|
||||
};
|
||||
static const int16_t kCachedPowers_E[] = {
|
||||
-1220, -1193, -1166, -1140, -1113, -1087, -1060, -1034, -1007, -980,
|
||||
-954, -927, -901, -874, -847, -821, -794, -768, -741, -715,
|
||||
-688, -661, -635, -608, -582, -555, -529, -502, -475, -449,
|
||||
-422, -396, -369, -343, -316, -289, -263, -236, -210, -183,
|
||||
-157, -130, -103, -77, -50, -24, 3, 30, 56, 83,
|
||||
109, 136, 162, 189, 216, 242, 269, 295, 322, 348,
|
||||
375, 402, 428, 455, 481, 508, 534, 561, 588, 614,
|
||||
641, 667, 694, 720, 747, 774, 800, 827, 853, 880,
|
||||
907, 933, 960, 986, 1013, 1039, 1066
|
||||
};
|
||||
|
||||
//int k = (int )(ceil((-61 - e) * 0.30102999566398114)) + 374;
|
||||
double dk = (-61 - e) * 0.30102999566398114 + 347; // dk must be positive, so can do ceiling in positive
|
||||
int k = (int )(dk);
|
||||
if (k != dk)
|
||||
k++;
|
||||
|
||||
unsigned index = (unsigned )((k >> 3) + 1);
|
||||
*K = -(-348 + (int )(index << 3)); // decimal exponent no need lookup table
|
||||
|
||||
assert(index < sizeof(kCachedPowers_F) / sizeof(kCachedPowers_F[0]));
|
||||
return DiyFp_from_parts(kCachedPowers_F[index], kCachedPowers_E[index]);
|
||||
}
|
||||
|
||||
static inline void GrisuRound(char* buffer, int len, uint64_t delta, uint64_t rest, uint64_t ten_kappa, uint64_t wp_w) {
|
||||
while (rest < wp_w && delta - rest >= ten_kappa &&
|
||||
(rest + ten_kappa < wp_w || /// closer
|
||||
wp_w - rest > rest + ten_kappa - wp_w)) {
|
||||
buffer[len - 1]--;
|
||||
rest += ten_kappa;
|
||||
}
|
||||
}
|
||||
|
||||
static inline unsigned CountDecimalDigit32(uint32_t n) {
|
||||
// Simple pure C++ implementation was faster than __builtin_clz version in this situation.
|
||||
if (n < 10) return 1;
|
||||
if (n < 100) return 2;
|
||||
if (n < 1000) return 3;
|
||||
if (n < 10000) return 4;
|
||||
if (n < 100000) return 5;
|
||||
if (n < 1000000) return 6;
|
||||
if (n < 10000000) return 7;
|
||||
if (n < 100000000) return 8;
|
||||
if (n < 1000000000) return 9;
|
||||
return 10;
|
||||
}
|
||||
|
||||
static inline void DigitGen(const DiyFp W, const DiyFp Mp, uint64_t delta, char* buffer, int* len, int* K) {
|
||||
static const uint32_t kPow10[] = { 1, 10, 100, 1000, 10000, 100000, 1000000, 10000000, 100000000, 1000000000 };
|
||||
const DiyFp one = DiyFp_from_parts((uint64_t )(1) << -Mp.e, Mp.e);
|
||||
const DiyFp wp_w = DiyFp_subtract(Mp, W);
|
||||
uint32_t p1 = (uint32_t )(Mp.f >> -one.e);
|
||||
uint64_t p2 = Mp.f & (one.f - 1);
|
||||
int kappa = (int )(CountDecimalDigit32(p1));
|
||||
*len = 0;
|
||||
|
||||
while (kappa > 0) {
|
||||
uint32_t d;
|
||||
switch (kappa) {
|
||||
case 10: d = p1 / 1000000000; p1 %= 1000000000; break;
|
||||
case 9: d = p1 / 100000000; p1 %= 100000000; break;
|
||||
case 8: d = p1 / 10000000; p1 %= 10000000; break;
|
||||
case 7: d = p1 / 1000000; p1 %= 1000000; break;
|
||||
case 6: d = p1 / 100000; p1 %= 100000; break;
|
||||
case 5: d = p1 / 10000; p1 %= 10000; break;
|
||||
case 4: d = p1 / 1000; p1 %= 1000; break;
|
||||
case 3: d = p1 / 100; p1 %= 100; break;
|
||||
case 2: d = p1 / 10; p1 %= 10; break;
|
||||
case 1: d = p1; p1 = 0; break;
|
||||
default:
|
||||
#if defined(_MSC_VER)
|
||||
__assume(0);
|
||||
#elif __GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 5)
|
||||
__builtin_unreachable();
|
||||
#else
|
||||
d = 0;
|
||||
#endif
|
||||
}
|
||||
if (d || *len)
|
||||
buffer[(*len)++] = '0' + (char )(d);
|
||||
kappa--;
|
||||
uint64_t tmp = ((uint64_t )(p1) << -one.e) + p2;
|
||||
if (tmp <= delta) {
|
||||
*K += kappa;
|
||||
GrisuRound(buffer, *len, delta, tmp, (uint64_t )(kPow10[kappa]) << -one.e, wp_w.f);
|
||||
return;
|
||||
}
|
||||
}
|
||||
|
||||
// kappa = 0
|
||||
for (;;) {
|
||||
p2 *= 10;
|
||||
delta *= 10;
|
||||
char d = (char )(p2 >> -one.e);
|
||||
if (d || *len)
|
||||
buffer[(*len)++] = '0' + d;
|
||||
p2 &= one.f - 1;
|
||||
kappa--;
|
||||
if (p2 < delta) {
|
||||
*K += kappa;
|
||||
GrisuRound(buffer, *len, delta, p2, one.f, wp_w.f * kPow10[-kappa]);
|
||||
return;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
static inline void Grisu2(double value, char* buffer, int* length, int* K) {
|
||||
const DiyFp v = DiyFp_from_double(value);
|
||||
DiyFp w_m, w_p;
|
||||
NormalizedBoundaries(v, &w_m, &w_p);
|
||||
|
||||
const DiyFp c_mk = GetCachedPower(w_p.e, K);
|
||||
const DiyFp W = DiyFp_multiply(Normalize(v), c_mk);
|
||||
DiyFp Wp = DiyFp_multiply(w_p, c_mk);
|
||||
DiyFp Wm = DiyFp_multiply(w_m, c_mk);
|
||||
Wm.f++;
|
||||
Wp.f--;
|
||||
DigitGen(W, Wp, Wp.f - Wm.f, buffer, length, K);
|
||||
}
|
||||
|
||||
static inline const char* GetDigitsLut() {
|
||||
static const char cDigitsLut[200] = {
|
||||
'0', '0', '0', '1', '0', '2', '0', '3', '0', '4', '0', '5', '0', '6', '0', '7', '0', '8', '0', '9',
|
||||
'1', '0', '1', '1', '1', '2', '1', '3', '1', '4', '1', '5', '1', '6', '1', '7', '1', '8', '1', '9',
|
||||
'2', '0', '2', '1', '2', '2', '2', '3', '2', '4', '2', '5', '2', '6', '2', '7', '2', '8', '2', '9',
|
||||
'3', '0', '3', '1', '3', '2', '3', '3', '3', '4', '3', '5', '3', '6', '3', '7', '3', '8', '3', '9',
|
||||
'4', '0', '4', '1', '4', '2', '4', '3', '4', '4', '4', '5', '4', '6', '4', '7', '4', '8', '4', '9',
|
||||
'5', '0', '5', '1', '5', '2', '5', '3', '5', '4', '5', '5', '5', '6', '5', '7', '5', '8', '5', '9',
|
||||
'6', '0', '6', '1', '6', '2', '6', '3', '6', '4', '6', '5', '6', '6', '6', '7', '6', '8', '6', '9',
|
||||
'7', '0', '7', '1', '7', '2', '7', '3', '7', '4', '7', '5', '7', '6', '7', '7', '7', '8', '7', '9',
|
||||
'8', '0', '8', '1', '8', '2', '8', '3', '8', '4', '8', '5', '8', '6', '8', '7', '8', '8', '8', '9',
|
||||
'9', '0', '9', '1', '9', '2', '9', '3', '9', '4', '9', '5', '9', '6', '9', '7', '9', '8', '9', '9'
|
||||
};
|
||||
return cDigitsLut;
|
||||
}
|
||||
|
||||
static inline void WriteExponent(int K, char* buffer) {
|
||||
if (K < 0) {
|
||||
*buffer++ = '-';
|
||||
K = -K;
|
||||
}
|
||||
|
||||
if (K >= 100) {
|
||||
*buffer++ = '0' + (char )(K / 100);
|
||||
K %= 100;
|
||||
const char* d = GetDigitsLut() + K * 2;
|
||||
*buffer++ = d[0];
|
||||
*buffer++ = d[1];
|
||||
}
|
||||
else if (K >= 10) {
|
||||
const char* d = GetDigitsLut() + K * 2;
|
||||
*buffer++ = d[0];
|
||||
*buffer++ = d[1];
|
||||
}
|
||||
else
|
||||
*buffer++ = '0' + (char )(K);
|
||||
|
||||
*buffer = '\0';
|
||||
}
|
||||
|
||||
static inline void Prettify(char* buffer, int length, int k) {
|
||||
const int kk = length + k; // 10^(kk-1) <= v < 10^kk
|
||||
|
||||
if (length <= kk && kk <= 21) {
|
||||
// 1234e7 -> 12340000000
|
||||
for (int i = length; i < kk; i++)
|
||||
buffer[i] = '0';
|
||||
buffer[kk] = '.';
|
||||
buffer[kk + 1] = '0';
|
||||
buffer[kk + 2] = '\0';
|
||||
}
|
||||
else if (0 < kk && kk <= 21) {
|
||||
// 1234e-2 -> 12.34
|
||||
memmove(&buffer[kk + 1], &buffer[kk], length - kk);
|
||||
buffer[kk] = '.';
|
||||
buffer[length + 1] = '\0';
|
||||
}
|
||||
else if (-6 < kk && kk <= 0) {
|
||||
// 1234e-6 -> 0.001234
|
||||
const int offset = 2 - kk;
|
||||
memmove(&buffer[offset], &buffer[0], length);
|
||||
buffer[0] = '0';
|
||||
buffer[1] = '.';
|
||||
for (int i = 2; i < offset; i++)
|
||||
buffer[i] = '0';
|
||||
buffer[length + offset] = '\0';
|
||||
}
|
||||
else if (length == 1) {
|
||||
// 1e30
|
||||
buffer[1] = 'e';
|
||||
WriteExponent(kk - 1, &buffer[2]);
|
||||
}
|
||||
else {
|
||||
// 1234e30 -> 1.234e33
|
||||
memmove(&buffer[2], &buffer[1], length - 1);
|
||||
buffer[1] = '.';
|
||||
buffer[length + 1] = 'e';
|
||||
WriteExponent(kk - 1, &buffer[0 + length + 2]);
|
||||
}
|
||||
}
|
||||
|
||||
void emyg_dtoa (double value, char* buffer) {
|
||||
// Not handling NaN and inf
|
||||
assert(!isnan(value));
|
||||
assert(!isinf(value));
|
||||
|
||||
if (value == 0) {
|
||||
buffer[0] = '0';
|
||||
buffer[1] = '.';
|
||||
buffer[2] = '0';
|
||||
buffer[3] = '\0';
|
||||
}
|
||||
else {
|
||||
if (value < 0) {
|
||||
*buffer++ = '-';
|
||||
value = -value;
|
||||
}
|
||||
int length, K;
|
||||
Grisu2(value, buffer, &length, &K);
|
||||
Prettify(buffer, length, K);
|
||||
}
|
||||
}
|
||||
|
|
@ -0,0 +1,12 @@
|
|||
/* emyg_dtoa.h */
|
||||
|
||||
#ifdef __cplusplus
|
||||
extern "C" {
|
||||
#endif
|
||||
|
||||
void emyg_dtoa (double value, char *buffer);
|
||||
|
||||
#ifdef __cplusplus
|
||||
}
|
||||
#endif
|
||||
|
||||
|
|
@ -0,0 +1,735 @@
|
|||
/* emyg_pow5.h */
|
||||
|
||||
/* This isn't really a header file, but we keep it in a separate file
|
||||
** to support alternate implementations, and because it's big.
|
||||
** It has be a .h (rather than a .c) file to avoid fooling premake4
|
||||
** into building into the image twice.
|
||||
*/
|
||||
|
||||
#ifndef MAX_POW5_IN_TABLE
|
||||
|
||||
#define MAX_POW5_IN_TABLE 345u
|
||||
|
||||
/* These are powers of 5 with 32-bit digits in little endian format */
|
||||
/* generated using (pow5c 345) from testgen.scm */
|
||||
static const uint32_t pow5[] = {
|
||||
1u,
|
||||
5u,
|
||||
25u,
|
||||
125u,
|
||||
625u,
|
||||
3125u,
|
||||
15625u,
|
||||
78125u,
|
||||
390625u,
|
||||
1953125u,
|
||||
9765625u,
|
||||
48828125u,
|
||||
244140625u,
|
||||
1220703125u,
|
||||
1808548329u, 1u,
|
||||
452807053u, 7u,
|
||||
2264035265u, 35u,
|
||||
2730241733u, 177u,
|
||||
766306777u, 888u,
|
||||
3831533885u, 4440u,
|
||||
1977800241u, 22204u,
|
||||
1299066613u, 111022u,
|
||||
2200365769u, 555111u,
|
||||
2411894253u, 2775557u,
|
||||
3469536673u, 13877787u,
|
||||
167814181u, 69388939u,
|
||||
839070905u, 346944695u,
|
||||
4195354525u, 1734723475u,
|
||||
3796903441u, 83682787u, 2u,
|
||||
1804648021u, 418413939u, 10u,
|
||||
433305513u, 2092069697u, 50u,
|
||||
2166527565u, 1870413893u, 252u,
|
||||
2242703233u, 762134875u, 1262u,
|
||||
2623581573u, 3810674377u, 6310u,
|
||||
233005977u, 1873502704u, 31554u,
|
||||
1165029885u, 777578928u, 157772u,
|
||||
1530182129u, 3887894641u, 788860u,
|
||||
3355943349u, 2259604022u, 3944304u,
|
||||
3894814857u, 2708085521u, 19721522u,
|
||||
2294205101u, 655525721u, 98607613u,
|
||||
2881090913u, 3277628607u, 493038065u,
|
||||
1520552677u, 3503241150u, 2465190328u,
|
||||
3307796089u, 336336567u, 3736017052u, 2u,
|
||||
3654078557u, 1681682838u, 1500216076u, 14u,
|
||||
1090523601u, 4113446898u, 3206113085u, 71u,
|
||||
1157650709u, 3387365307u, 3145663541u, 358u,
|
||||
1493286249u, 4051924648u, 2843415820u, 1793u,
|
||||
3171463949u, 3079754057u, 1332177216u, 8968u,
|
||||
2972417857u, 2513868400u, 2365918787u, 44841u,
|
||||
1977187397u, 3979407411u, 3239659345u, 224207u,
|
||||
1296002393u, 2717167873u, 3313394841u, 1121038u,
|
||||
2185044669u, 700937478u, 3682072320u, 5605193u,
|
||||
2335288753u, 3504687392u, 1230492416u, 28025969u,
|
||||
3086509173u, 343567778u, 1857494788u, 140129846u,
|
||||
2547643977u, 1717838893u, 697539348u, 700649232u,
|
||||
4148285293u, 4294227171u, 3487696741u, 3503246160u,
|
||||
3561557281u, 4291266675u, 258614525u, 336361620u, 4u,
|
||||
627917221u, 4276464195u, 1293072629u, 1681808100u, 20u,
|
||||
3139586105u, 4202451791u, 2170395853u, 4114073205u, 101u,
|
||||
2813028637u, 3832389774u, 2262044677u, 3390496843u, 509u,
|
||||
1180241297u, 1982079689u, 2720288797u, 4067582329u, 2548u,
|
||||
1606239189u, 1320463854u, 716542099u, 3158042464u, 12744u,
|
||||
3736228649u, 2307351975u, 3582710496u, 2905310432u, 63723u,
|
||||
1501274061u, 2946825287u, 733683298u, 1641650276u, 318618u,
|
||||
3211403009u, 1849224548u, 3668416493u, 3913284084u, 1593091u,
|
||||
3172113157u, 656188151u, 1162213283u, 2386551240u, 7965459u,
|
||||
2975663897u, 3280940758u, 1516099119u, 3342821609u, 39827297u,
|
||||
1993417597u, 3519801905u, 3285528302u, 3829206158u, 199136488u,
|
||||
1377153393u, 419140343u, 3542739626u, 1966161609u, 995682444u,
|
||||
2590799669u, 2095701716u, 533828946u, 1240873457u, 683444926u, 1u,
|
||||
69096457u, 1888573991u, 2669144732u, 1909399989u, 3417224631u, 5u,
|
||||
345482285u, 852935363u, 460821774u, 957065356u, 4201221269u, 28u,
|
||||
1727411425u, 4264676815u, 2304108870u, 490359484u, 3826237162u, 144u,
|
||||
47122533u, 4143514893u, 2930609762u, 2451797422u, 1951316626u, 724u,
|
||||
235612665u, 3537705281u, 1768146926u, 3669052521u, 1166648540u, 3622u,
|
||||
1178063325u, 508657221u, 250800042u, 1165393423u, 1538275408u, 18111u,
|
||||
1595349329u, 2543286106u, 1254000210u, 1531999819u, 3396409745u, 90556u,
|
||||
3681779349u, 4126495939u, 1975033756u, 3365031800u, 4097146838u, 452783u,
|
||||
1229027561u, 3452610515u, 1285234192u, 3940257114u, 3305865009u, 2263919u,
|
||||
1850170509u, 83183392u, 2131203668u, 2521416387u, 3644423161u, 11319598u,
|
||||
660917953u, 415916962u, 2066083748u, 4017147345u, 1042246623u, 56597994u,
|
||||
3304589765u, 2079584810u, 1740484148u, 2905867543u, 916265823u, 282989971u,
|
||||
3638046937u, 1807989461u, 112486150u, 1644435829u, 286361822u, 1414949856u,
|
||||
1010365501u, 450012717u, 562430752u, 3927211849u, 1431809111u, 2779781984u, 1u,
|
||||
756860209u, 2250063586u, 2812153760u, 2456190061u, 2864078263u, 1014008033u, 8u,
|
||||
3784301045u, 2660383338u, 1175866914u, 3691015716u, 1435489429u, 775072872u, 41u,
|
||||
1741636041u, 417014806u, 1584367277u, 1275209397u, 2882479853u, 3875364361u, 205u,
|
||||
118245613u, 2085074032u, 3626869089u, 2081079690u, 1527497378u, 2196952624u, 1029u,
|
||||
591228065u, 1835435568u, 954476263u, 1815463862u, 3342519596u, 2394828529u, 5147u,
|
||||
2956140325u, 587243248u, 477414021u, 487384719u, 3827696094u, 3384208056u, 25737u,
|
||||
1895799737u, 2936216243u, 2387070105u, 2436923595u, 1958611286u, 4036138396u, 128688u,
|
||||
889064093u, 1796179329u, 3345415936u, 3594683385u, 1203121840u, 3000822798u, 643444u,
|
||||
150353169u, 390962054u, 3842177794u, 793547744u, 1720641908u, 2119212103u, 3217223u,
|
||||
751765845u, 1954810270u, 2031019786u, 3967738724u, 13274948u, 2006125925u, 16086117u,
|
||||
3758829225u, 1184116758u, 1565164340u, 2658824438u, 66374744u, 1440695033u, 80430587u,
|
||||
1614276941u, 1625616498u, 3530854405u, 409220303u, 331873723u, 2908507869u, 402152936u,
|
||||
3776417409u, 3833115195u, 474402842u, 2046101519u, 1659368615u, 1657637457u, 2010764683u,
|
||||
1702217861u, 1985706795u, 2372014214u, 1640573003u, 4001875781u, 3993219990u, 1463888824u, 2u,
|
||||
4216122009u, 1338599384u, 3270136480u, 3907897721u, 2829509722u, 2786230770u, 3024476828u, 11u,
|
||||
3900740861u, 2398029628u, 3465780513u, 2359619424u, 1262646726u, 1046251965u, 2237482255u, 58u,
|
||||
2323835121u, 3400213552u, 149033383u, 3208162532u, 2018266336u, 936292530u, 2597476684u, 292u,
|
||||
3029241013u, 4116165874u, 745166918u, 3155910772u, 1501397091u, 386495356u, 102481533u, 1463u,
|
||||
2261303177u, 3400960189u, 3725834594u, 2894651972u, 3212018162u, 1932476781u, 512407665u, 7315u,
|
||||
2716581293u, 4119899059u, 1449303789u, 1588357976u, 3175188925u, 1072449316u, 2562038327u, 36575u,
|
||||
698004577u, 3419626114u, 2951551653u, 3646822585u, 2991042738u, 1067279287u, 4220257044u, 182877u,
|
||||
3490022885u, 4213228682u, 1872856380u, 1054243744u, 2070311806u, 1041429142u, 3921416037u, 914389u,
|
||||
270245241u, 3886274230u, 774347312u, 976251426u, 1761624439u, 912178416u, 2427211002u, 4571949u,
|
||||
1351226205u, 2251501966u, 3871736564u, 586289834u, 218187604u, 265924786u, 3546120419u, 22859747u,
|
||||
2461163729u, 2667575239u, 2178813638u, 2931449174u, 1090938020u, 1329623930u, 550732911u, 114298739u,
|
||||
3715884053u, 452974309u, 2304133601u, 1772343984u, 1159722807u, 2353152355u, 2753664556u, 571493695u,
|
||||
1399551081u, 2264871549u, 2930733413u, 271785330u, 1503646741u, 3175827184u, 883420894u, 2857468478u,
|
||||
2702788109u, 2734423154u, 1768765179u, 1358926653u, 3223266409u, 2994234033u, 122137177u, 1402440503u, 3u,
|
||||
629038657u, 787213885u, 253891306u, 2499665971u, 3231430158u, 2086268280u, 610685888u, 2717235219u, 16u,
|
||||
3145193285u, 3936069425u, 1269456530u, 3908395263u, 3272248904u, 1841406811u, 3053429442u, 701274207u, 83u,
|
||||
2841064537u, 2500477944u, 2052315358u, 2362107132u, 3476342636u, 617099466u, 2382245324u, 3506371038u, 415u,
|
||||
1320420797u, 3912455131u, 1671642200u, 3220601070u, 201843998u, 3085497334u, 3321292028u, 351986008u, 2079u,
|
||||
2307136689u, 2382406472u, 4063243708u, 3218103463u, 1009219993u, 2542584782u, 3721558255u, 1759930043u, 10395u,
|
||||
2945748853u, 3322097770u, 3136349358u, 3205615431u, 751132672u, 4122989319u, 1427922093u, 209715627u, 51977u,
|
||||
1843842377u, 3725586965u, 2796844905u, 3143175270u, 3755663363u, 3435077411u, 2844643173u, 1048578136u, 259885u,
|
||||
629277293u, 1448065643u, 1099322641u, 2830974465u, 1598447634u, 4290485171u, 1338313980u, 947923387u, 1299426u,
|
||||
3146386465u, 2945360919u, 1201645910u, 1269970438u, 3697270877u, 4272556672u, 2396602608u, 444649640u, 6497131u,
|
||||
2847030437u, 1841902710u, 1713262257u, 2054884895u, 1306485202u, 4182914180u, 3393078452u, 2223248202u, 32485655u,
|
||||
1350250297u, 619578961u, 4271343991u, 1684489884u, 2237458716u, 3734701717u, 4080490376u, 2526306421u, 162428277u,
|
||||
2456284189u, 3097894806u, 4176850771u, 4127482128u, 2597358989u, 1493639403u, 3222582700u, 4041597517u, 812141387u,
|
||||
3691486353u, 2604572144u, 3704384674u, 3457541460u, 101893061u, 3173229722u, 3228011613u, 3028118404u, 4060706939u,
|
||||
1277562581u, 137958836u, 1342054189u, 107838120u, 509465309u, 2981246722u, 3255156180u, 2255690135u, 3123665514u, 4u,
|
||||
2092845609u, 689794181u, 2415303649u, 539190601u, 2547326545u, 2021331722u, 3390879015u, 2688516086u, 2733425684u, 23u,
|
||||
1874293453u, 3448970907u, 3486583653u, 2695953007u, 4146698133u, 1516724020u, 4069493189u, 557678545u, 782226535u, 118u,
|
||||
781532673u, 64985353u, 253049085u, 594863151u, 3553621484u, 3288652808u, 3167596762u, 2788392729u, 3911132675u, 590u,
|
||||
3907663365u, 324926765u, 1265245425u, 2974315755u, 588238236u, 3558362156u, 2953081925u, 1057061760u, 2375794194u, 2954u,
|
||||
2358447641u, 1624633829u, 2031259829u, 1986676888u, 2941191183u, 611941596u, 1880507741u, 990341507u, 3289036379u, 14772u,
|
||||
3202303613u, 3828201851u, 1566364554u, 1343449850u, 1821054029u, 3059707983u, 812604113u, 656740241u, 3560280008u, 73863u,
|
||||
3126616177u, 1961140074u, 3536855478u, 2422281955u, 515335554u, 2413638029u, 4063020568u, 3283701205u, 621530856u, 369319u,
|
||||
2748178997u, 1215765781u, 504408208u, 3521475187u, 2576677772u, 3478255553u, 3135233658u, 3533604141u, 3107654283u, 1846595u,
|
||||
855993097u, 1783861612u, 2522041041u, 427506751u, 4293454272u, 211408583u, 2791266406u, 488151524u, 2653369531u, 9232978u,
|
||||
4279965485u, 329373468u, 4020270615u, 2137533757u, 4287402176u, 1057042919u, 1071430142u, 2440757623u, 381945767u, 46164893u,
|
||||
4219958241u, 1646867344u, 2921483891u, 2097734197u, 4257141698u, 990247303u, 1062183415u, 3613853524u, 1909728837u, 230824465u,
|
||||
3919922021u, 3939369428u, 1722517568u, 1898736396u, 4105839308u, 656269223u, 1015949780u, 889398437u, 958709597u, 1154122327u,
|
||||
2419740921u, 2516977960u, 22653252u, 903747390u, 3349327358u, 3281346119u, 784781604u, 152024890u, 498580690u, 1475644340u, 1u,
|
||||
3508770013u, 3994955210u, 113266262u, 223769654u, 3861734903u, 3521828710u, 3923908023u, 760124450u, 2492903450u, 3083254404u, 6u,
|
||||
363980881u, 2794906870u, 566331314u, 1118848270u, 2128805331u, 429274370u, 2439670935u, 3800622254u, 3874582658u, 2531370134u, 33u,
|
||||
1819904405u, 1089632462u, 2831656573u, 1299274054u, 2054092064u, 2146371852u, 3608420083u, 1823242088u, 2193044110u, 4066916082u, 167u,
|
||||
509587433u, 1153195016u, 1273380978u, 2201402977u, 1680525729u, 2141924670u, 862231233u, 526275852u, 2375285960u, 3154711228u, 839u,
|
||||
2547937165u, 1471007784u, 2071937595u, 2417080294u, 4107661351u, 2119688759u, 16188871u, 2631379261u, 3286495208u, 2888654254u, 4198u,
|
||||
4149751233u, 3060071626u, 1769753384u, 3495466880u, 3358437573u, 2008509207u, 80944357u, 271994417u, 3547574155u, 1558369385u, 20993u,
|
||||
3568886981u, 2415456246u, 258832331u, 297465218u, 3907285981u, 1452611446u, 404721787u, 1359972085u, 558001591u, 3496879633u, 104966u,
|
||||
664565721u, 3487346642u, 1294161657u, 1487326090u, 2356560721u, 2968089938u, 2023608936u, 2504893129u, 2790007956u, 304528981u, 524834u,
|
||||
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|
||||
1845686625u, 1677992324u, 1657935696u, 1595767650u, 2540228626u, 2875896182u, 2250912325u, 4264420021u, 1647293907u, 909975524u, 1861028497u, 3154654459u, 4148182353u, 9858781u, 3948063666u, 3814691712u, 4061767303u, 869479705u, 3214562975u, 3637669585u, 1577112761u, 40083u,
|
||||
638498533u, 4094994326u, 3994711185u, 3683870955u, 4111208539u, 1494579024u, 2664627036u, 4142230923u, 3941502243u, 254910325u, 715207894u, 2888370409u, 3561042584u, 49293909u, 2560449146u, 1893589380u, 3128967335u, 52431233u, 3187912988u, 1008478744u, 3590596513u, 200416u,
|
||||
3192492665u, 3295102446u, 2793686745u, 1239485595u, 3376173515u, 3177927828u, 438233293u, 3531285434u, 2527642035u, 1274551629u, 3576039470u, 1556950157u, 625343739u, 246469549u, 4212311138u, 878012310u, 2759934789u, 262156168u, 3054663052u, 747426427u, 773113382u, 1002084u,
|
||||
3077561437u, 3590610345u, 1083531840u, 1902460682u, 3995965688u, 3004737255u, 2191166468u, 476557986u, 4048275587u, 2077790851u, 700328167u, 3489783493u, 3126718696u, 1232347745u, 3881686506u, 95094258u, 914772058u, 1310780843u, 2388413372u, 3737132138u, 3865566910u, 5010420u,
|
||||
2502905297u, 773182544u, 1122691908u, 922368819u, 2799959258u, 2138784391u, 2365897751u, 2382789932u, 3061508751u, 1799019667u, 3501640837u, 269048281u, 2748691596u, 1866771432u, 2228563347u, 475471294u, 278892994u, 2258936920u, 3352132269u, 1505791508u, 2147965370u, 25052104u,
|
||||
3924591893u, 3865912722u, 1318492244u, 316876800u, 1114894403u, 2103987366u, 3239554165u, 3324015070u, 2422641869u, 405163746u, 328335003u, 1345241409u, 858556092u, 743922571u, 2552882145u, 2377356472u, 1394464970u, 2704750008u, 3875759459u, 3233990247u, 2149892259u, 125260522u,
|
||||
2443090281u, 2149694430u, 2297493928u, 1584384001u, 1279504719u, 1930002239u, 3312868939u, 3735173465u, 3523274756u, 2025818732u, 1641675015u, 2431239749u, 4292780461u, 3719612855u, 4174476133u, 3296847770u, 2677357556u, 638848153u, 2198928114u, 3285049351u, 2159526706u, 626302612u,
|
||||
3625516813u, 2158537560u, 2897535050u, 3626952711u, 2102556300u, 1060076604u, 3679442809u, 1495998144u, 436504600u, 1539159072u, 3913407781u, 3566264154u, 4284033123u, 1418195095u, 3692511485u, 3599336966u, 501885895u, 3194240768u, 2404705978u, 3540344869u, 2207698941u, 3131513062u,
|
||||
947714881u, 2202753212u, 1602773364u, 954894374u, 1922846912u, 1005415726u, 1217344862u, 3185023428u, 2182523001u, 3400828064u, 2387169722u, 651451590u, 4240296435u, 2796008183u, 1282688242u, 816815650u, 2509429479u, 3086301952u, 3433595301u, 521855163u, 2448560117u, 2772663424u, 3u,
|
||||
443607109u, 2423831469u, 3718899526u, 479504575u, 1024299969u, 732111336u, 1791757015u, 3040215253u, 2322680416u, 4119238434u, 3345914021u, 3257257952u, 4021612991u, 1095139031u, 2118473917u, 4084078251u, 3957212803u, 2546607874u, 4283074620u, 2609275818u, 3652865993u, 978415234u, 18u,
|
||||
2218035545u, 3529222753u, 1414628448u, 2397522879u, 826532549u, 3660556681u, 368850483u, 2316174379u, 3023467491u, 3416322988u, 3844668221u, 3401387875u, 2928195774u, 1180727863u, 2002434994u, 3240522073u, 2606194835u, 4143104782u, 4235503918u, 161477206u, 1084460784u, 597108878u, 91u,
|
||||
2500243133u, 466244583u, 2778174948u, 3397679804u, 4132662747u, 1122914221u, 1844252419u, 2990937303u, 2232435569u, 4196713055u, 2043471924u, 4122037491u, 1756076985u, 1608672022u, 1422240379u, 3317708479u, 146072290u, 3535654729u, 3997650410u, 807386034u, 1127336624u, 2985544391u, 455u,
|
||||
3911281073u, 2331222917u, 1005972852u, 4103497135u, 3483444554u, 1319603813u, 631327504u, 2069784629u, 2572243256u, 3803696093u, 1627425032u, 3430318273u, 190450337u, 3748392816u, 2816234600u, 3703640508u, 730361453u, 498404461u, 2808382870u, 4036930174u, 1341715824u, 2042820068u, 2278u,
|
||||
2376536181u, 3066179997u, 734896966u, 3337616492u, 237353590u, 2303051773u, 3156637521u, 1758988553u, 4271281690u, 1838611283u, 3842157868u, 4266689478u, 952251688u, 1562094896u, 1196271116u, 1338333359u, 3651807269u, 2492022305u, 1157012462u, 3004781689u, 2413611828u, 1624165749u, 11392u,
|
||||
3292746313u, 2445998099u, 3674484833u, 3803180572u, 1186767953u, 2925324273u, 2898285719u, 205008176u, 4176539268u, 603121827u, 2030920158u, 4153578210u, 466291148u, 3515507185u, 1686388285u, 2396699500u, 1079167162u, 3870176937u, 1490095016u, 2139006558u, 3478124551u, 3825861451u, 56961u,
|
||||
3578829677u, 3640055906u, 1192554983u, 1836033680u, 1638872473u, 1741719478u, 1606526710u, 1025040883u, 3702827156u, 3015609139u, 1564666198u, 3588021868u, 2331455744u, 397666741u, 4136974133u, 3393562909u, 1100868516u, 2171015502u, 3155507788u, 2105098199u, 210753573u, 1949438075u, 284809u,
|
||||
714279201u, 1020410350u, 1667807623u, 590233809u, 3899395071u, 118662799u, 3737666256u, 830237120u, 1334266597u, 2193143811u, 3528363697u, 760240157u, 3067344132u, 1988333707u, 3505001481u, 4082912661u, 1209375287u, 2265142919u, 2892637054u, 1935556406u, 1053767867u, 1157255783u, 1424047u,
|
||||
3571396005u, 807084454u, 4044070820u, 2951169046u, 2317106171u, 593313999u, 1508462096u, 4151185604u, 2376365689u, 2375784464u, 461949303u, 3801200789u, 2451818772u, 1351733946u, 345138223u, 3234694125u, 1751909143u, 2735780004u, 1578283384u, 1087847441u, 973872041u, 1491311620u, 7120236u,
|
||||
677110841u, 4035422274u, 3040484916u, 1870943346u, 2995596266u, 2966569997u, 3247343184u, 3576058837u, 3291893857u, 3288987730u, 2309746517u, 1826134761u, 3669159272u, 2463702436u, 1725691116u, 3288568737u, 169611126u, 793998134u, 3596449627u, 1144269910u, 574392910u, 3161590805u, 35601181u,
|
||||
3385554205u, 2997242186u, 2317522696u, 764782141u, 2093079444u, 1947948100u, 3351814035u, 700425004u, 3574567401u, 3560036765u, 2958797996u, 540739215u, 1165927178u, 3728577592u, 38520990u, 3557941799u, 848055633u, 3969990670u, 802378951u, 1426382258u, 2871964551u, 2923052137u, 178005908u,
|
||||
4042869137u, 2101309045u, 2997678891u, 3823910707u, 1875462628u, 1149805910u, 3874168289u, 3502125023u, 692967821u, 620314645u, 1909088096u, 2703696078u, 1534668594u, 1463018777u, 192604954u, 609839811u, 4240278169u, 2670084166u, 4011894759u, 2836943994u, 1474920868u, 1730358800u, 890029543u,
|
||||
3034476501u, 1916610637u, 2103492569u, 1939684354u, 787378552u, 1454062256u, 2190972262u, 330755935u, 3464839109u, 3101573225u, 955505888u, 633578504u, 3378375677u, 3020126590u, 963024771u, 3049199055u, 4021521661u, 465518946u, 2879604614u, 1299818086u, 3079637047u, 61859409u, 155180421u, 1u,
|
||||
2287480617u, 993118596u, 1927528255u, 1108487180u, 3936892762u, 2975343984u, 2364926719u, 1653779677u, 144326361u, 2622964241u, 482562147u, 3167892521u, 4006976497u, 2215731065u, 520156562u, 2361093388u, 2927739124u, 2327594734u, 1513121182u, 2204123137u, 2513283348u, 309297048u, 775902105u, 5u,
|
||||
2847468493u, 670625686u, 1047706684u, 1247468606u, 2504594627u, 1991818036u, 3234699006u, 3973931091u, 721631806u, 229919317u, 2412810738u, 2954560717u, 2855013304u, 2488720737u, 2600782812u, 3215532348u, 1753793734u, 3048039081u, 3270638616u, 2430681094u, 3976482150u, 1546485242u, 3879510525u, 25u,
|
||||
1352440577u, 3353128433u, 943566124u, 1942375735u, 3933038544u, 1369155590u, 3288593144u, 2689786274u, 3608159034u, 1149596585u, 3474119098u, 1887901699u, 1390164635u, 3853669096u, 119012174u, 3192759855u, 179034081u, 2355293519u, 3468291195u, 3563470881u, 2702541568u, 3437458918u, 2217683442u, 129u,
|
||||
2467235589u, 3880740278u, 422863327u, 1121944084u, 2485323538u, 2550810658u, 3558063833u, 564029485u, 860925989u, 1453015633u, 190726307u, 849573907u, 2655855881u, 2088476297u, 595060874u, 3078897387u, 895170408u, 3186533003u, 161586793u, 637485225u, 627805956u, 7425409u, 2498482622u, 647u,
|
||||
3746243353u, 2223832208u, 2114316639u, 1314753124u, 3836683099u, 4164118700u, 610449983u, 2820147429u, 9662649u, 2970110870u, 953631536u, 4247869535u, 394377517u, 1852446896u, 2975304372u, 2509585047u, 180884747u, 3047763128u, 807933968u, 3187426125u, 3139029780u, 37127045u, 3902478518u, 3237u,
|
||||
1551347581u, 2529226452u, 1981648605u, 2278798326u, 2003546312u, 3640724320u, 3052249919u, 1215835257u, 48313248u, 1965652462u, 473190387u, 4059478492u, 1971887589u, 672299888u, 1991619974u, 3957990646u, 904423737u, 2353913752u, 4039669843u, 3052228737u, 2810247015u, 185635228u, 2332523406u, 16189u,
|
||||
3461770609u, 4056197669u, 1318308435u, 2804057040u, 1427796970u, 1023752418u, 2376347711u, 1784208992u, 241566241u, 1238327718u, 2365951937u, 3117523276u, 1269503357u, 3361499442u, 1368165278u, 2610084048u, 227151393u, 3179634169u, 3018480033u, 2376241801u, 1166333190u, 928176143u, 3072682438u, 80947u,
|
||||
128983861u, 3101119165u, 2296574883u, 1135383313u, 2844017557u, 823794795u, 3291803964u, 331110370u, 1207831207u, 1896671294u, 3239825094u, 2702714494u, 2052549492u, 3922595323u, 2545859097u, 165518353u, 1135756968u, 3013268957u, 2207498280u, 3291274416u, 1536698656u, 345913420u, 2478510303u, 404738u,
|
||||
644919305u, 2620693937u, 2892939826u, 1381949271u, 1335185898u, 4118973978u, 3574117932u, 1655551853u, 1744188739u, 893421879u, 3314223584u, 628670585u, 1672812871u, 2433107433u, 4139360897u, 827591767u, 1383817544u, 2181442898u, 2447556811u, 3571470194u, 3388525987u, 1729567101u, 3802616923u, 2023692u,
|
||||
3224596525u, 218567797u, 1579797245u, 2614779062u, 2380962195u, 3415000707u, 690720480u, 3982791973u, 131009104u, 172142101u, 3686216033u, 3143352928u, 4069097059u, 3575602574u, 3516935303u, 4137958839u, 2624120424u, 2317279899u, 3647849465u, 677481788u, 4057728051u, 57900916u, 1833215433u, 10118464u,
|
||||
3238080737u, 1092838988u, 3604018929u, 188993423u, 3314876386u, 4190101649u, 3453602403u, 2734090681u, 655045524u, 860710505u, 1251210981u, 2831862756u, 3165616114u, 698143690u, 404807335u, 3509925015u, 235700236u, 2996464906u, 1059378143u, 3387408944u, 3108771071u, 289504584u, 576142573u, 50592322u,
|
||||
3305501797u, 1169227647u, 840225462u, 944967119u, 3689480042u, 3770639064u, 88142835u, 785551521u, 3275227623u, 8585229u, 1961087610u, 1274411893u, 2943178685u, 3490718453u, 2024036675u, 369755891u, 1178501184u, 2097422642u, 1001923422u, 4052142833u, 2658953470u, 1447522923u, 2880712865u, 252961610u,
|
||||
3642607097u, 1551170942u, 4201127311u, 429868299u, 1267531027u, 1673326140u, 440714179u, 3927757605u, 3491236227u, 42926148u, 1215503458u, 2077092171u, 1830991538u, 273723084u, 1530248787u, 1848779457u, 1597538624u, 1897178619u, 714649816u, 3080844982u, 409865466u, 2942647322u, 1518662438u, 1264808053u,
|
||||
1033166301u, 3460887418u, 3825767372u, 2149341499u, 2042687839u, 4071663405u, 2203570896u, 2458918841u, 276311955u, 214630744u, 1782549994u, 1795526264u, 565023100u, 1368615422u, 3356276639u, 653962694u, 3692725826u, 895958504u, 3573249082u, 2519323022u, 2049327333u, 1828334722u, 3298344897u, 2029072970u, 1u,
|
||||
870864209u, 124567907u, 1948967680u, 2156772907u, 1623504605u, 3178447843u, 2427919892u, 3704659615u, 1381559777u, 1073153720u, 322815378u, 387696730u, 2825115502u, 2548109814u, 3896481308u, 3269813473u, 1283759946u, 184825228u, 686376227u, 4006680522u, 1656702075u, 551739020u, 3606822599u, 1555430261u, 7u,
|
||||
59353749u, 622839536u, 1154903808u, 2193929945u, 3822555731u, 3007337328u, 3549664871u, 1343428893u, 2612831593u, 1070801305u, 1614076891u, 1938483650u, 1240675622u, 4150614481u, 2302537358u, 3464165481u, 2123832437u, 924126141u, 3431881135u, 2853533426u, 3988543083u, 2758695101u, 854243811u, 3482184013u, 36u,
|
||||
296768745u, 3114197680u, 1479551744u, 2379715134u, 1932909473u, 2151784756u, 568455174u, 2422177173u, 179256078u, 1059039232u, 3775417160u, 1102483659u, 1908410816u, 3573203222u, 2922752202u, 140958223u, 2029227597u, 325663411u, 4274503788u, 1382765245u, 2762846234u, 908573621u, 4271219058u, 231050881u, 184u,
|
||||
1483843725u, 2686086512u, 3102791427u, 3308641079u, 1074612775u, 2168989190u, 2842275872u, 3520951273u, 896280392u, 1000228864u, 1697216617u, 1217451003u, 952119489u, 686146928u, 1728859126u, 704791118u, 1556203393u, 1628317057u, 4192649756u, 2618858933u, 929329283u, 247900812u, 4176226107u, 1155254409u, 920u,
|
||||
3124251329u, 545530673u, 2629055250u, 3658303510u, 1078096582u, 2255011359u, 1326477474u, 424887184u, 186434668u, 706177025u, 4191115790u, 1792287720u, 465630150u, 3430734641u, 54361038u, 3523955592u, 3486049669u, 3846617990u, 3783379597u, 209392781u, 351679122u, 1239504061u, 3701261351u, 1481304753u, 4601u,
|
||||
2736354757u, 2727653368u, 260374362u, 1111648369u, 1095515618u, 2685122204u, 2337420076u, 2124435921u, 932173340u, 3530885125u, 3775709766u, 371504012u, 2328150752u, 4268771317u, 271805193u, 439908776u, 250379165u, 2053220770u, 1737028805u, 1046963909u, 1758395610u, 1902553009u, 1326437572u, 3111556473u, 23006u,
|
||||
796871897u, 753364955u, 1301871813u, 1263274549u, 1182610795u, 540709133u, 3097165791u, 2032245015u, 365899406u, 474556442u, 1698679650u, 1857520064u, 3050819168u, 4163987403u, 1359025969u, 2199543880u, 1251895825u, 1676169258u, 95209435u, 939852251u, 202043459u, 922830455u, 2337220566u, 2672880478u, 115033u,
|
||||
3984359485u, 3766824775u, 2214391769u, 2021405450u, 1618086680u, 2703545666u, 2600927067u, 1571290486u, 1829497032u, 2372782210u, 4198430954u, 697665729u, 2369193954u, 3640067834u, 2500162553u, 2407784809u, 1964511831u, 4085878995u, 476047176u, 404293959u, 1010217296u, 319184979u, 3096168239u, 479500504u, 575168u,
|
||||
2741928241u, 1654254695u, 2482024257u, 1517092660u, 3795466106u, 632826443u, 119733450u, 3561485137u, 557550569u, 3273976460u, 3812285588u, 3488328649u, 3256035178u, 1020469988u, 3910878177u, 3448989455u, 1232624565u, 3249525793u, 2380235884u, 2021469795u, 756119184u, 1595924896u, 2595939307u, 2397502523u, 2875840u,
|
||||
824739317u, 3976306182u, 3820186694u, 3290496006u, 1797461347u, 3164132219u, 598667250u, 627556501u, 2787752849u, 3484980412u, 1881558759u, 261774065u, 3395274006u, 807382647u, 2374521702u, 65078095u, 1868155533u, 3362727078u, 3311244831u, 1517414385u, 3780595922u, 3684657184u, 94794648u, 3397578026u, 14379202u,
|
||||
4123696585u, 2701661726u, 1921064290u, 3567578146u, 397372146u, 2935759209u, 2993336253u, 3137782505u, 1053862357u, 245032879u, 817859207u, 1308870327u, 4091468142u, 4036913238u, 3282673918u, 325390477u, 750843073u, 3928733504u, 3671322270u, 3292104632u, 1723110427u, 1243416740u, 473973244u, 4102988242u, 71896013u,
|
||||
3438613741u, 623406746u, 1015386861u, 658021548u, 1986860734u, 1793894157u, 2081779380u, 2804010640u, 974344492u, 1225164396u, 4089296035u, 2249384339u, 3277471527u, 3004697010u, 3528467706u, 1626952388u, 3754215365u, 2463798336u, 1176742170u, 3575621276u, 25617546u, 1922116406u, 2369866221u, 3335072026u, 359480069u,
|
||||
13199521u, 3117033734u, 781967009u, 3290107741u, 1344369078u, 379536195u, 1818962310u, 1135151314u, 576755167u, 1830854685u, 3266610992u, 2656987107u, 3502455749u, 2138583165u, 462469349u, 3839794648u, 1591207642u, 3729057092u, 1588743556u, 698237197u, 128087734u, 1020647438u, 3259396515u, 3790458244u, 1797400348u,
|
||||
65997605u, 2700266782u, 3909835048u, 3565636817u, 2426878097u, 1897680976u, 504876958u, 1380789276u, 2883775836u, 564338833u, 3448153074u, 400033650u, 332409564u, 2102981237u, 2312346747u, 2019104056u, 3661070918u, 1465416277u, 3648750488u, 3491185986u, 640438670u, 808269894u, 3412080688u, 1772422039u, 397067152u, 2u,
|
||||
};
|
||||
|
||||
/* These are the indicies of the start of each power of 5 in pow5[] */
|
||||
/* The width is calculated by subtracting indices, so there is one extra */
|
||||
/* generated using (pow5w 346) from testgen.scm */
|
||||
static const uint16_t pow5w[] = {
|
||||
0u,
|
||||
1u,
|
||||
2u,
|
||||
3u,
|
||||
4u,
|
||||
5u,
|
||||
6u,
|
||||
7u,
|
||||
8u,
|
||||
9u,
|
||||
10u,
|
||||
11u,
|
||||
12u,
|
||||
13u,
|
||||
14u,
|
||||
16u,
|
||||
18u,
|
||||
20u,
|
||||
22u,
|
||||
24u,
|
||||
26u,
|
||||
28u,
|
||||
30u,
|
||||
32u,
|
||||
34u,
|
||||
36u,
|
||||
38u,
|
||||
40u,
|
||||
42u,
|
||||
45u,
|
||||
48u,
|
||||
51u,
|
||||
54u,
|
||||
57u,
|
||||
60u,
|
||||
63u,
|
||||
66u,
|
||||
69u,
|
||||
72u,
|
||||
75u,
|
||||
78u,
|
||||
81u,
|
||||
84u,
|
||||
88u,
|
||||
92u,
|
||||
96u,
|
||||
100u,
|
||||
104u,
|
||||
108u,
|
||||
112u,
|
||||
116u,
|
||||
120u,
|
||||
124u,
|
||||
128u,
|
||||
132u,
|
||||
136u,
|
||||
140u,
|
||||
145u,
|
||||
150u,
|
||||
155u,
|
||||
160u,
|
||||
165u,
|
||||
170u,
|
||||
175u,
|
||||
180u,
|
||||
185u,
|
||||
190u,
|
||||
195u,
|
||||
200u,
|
||||
205u,
|
||||
211u,
|
||||
217u,
|
||||
223u,
|
||||
229u,
|
||||
235u,
|
||||
241u,
|
||||
247u,
|
||||
253u,
|
||||
259u,
|
||||
265u,
|
||||
271u,
|
||||
277u,
|
||||
283u,
|
||||
289u,
|
||||
296u,
|
||||
303u,
|
||||
310u,
|
||||
317u,
|
||||
324u,
|
||||
331u,
|
||||
338u,
|
||||
345u,
|
||||
352u,
|
||||
359u,
|
||||
366u,
|
||||
373u,
|
||||
380u,
|
||||
387u,
|
||||
395u,
|
||||
403u,
|
||||
411u,
|
||||
419u,
|
||||
427u,
|
||||
435u,
|
||||
443u,
|
||||
451u,
|
||||
459u,
|
||||
467u,
|
||||
475u,
|
||||
483u,
|
||||
491u,
|
||||
499u,
|
||||
508u,
|
||||
517u,
|
||||
526u,
|
||||
535u,
|
||||
544u,
|
||||
553u,
|
||||
562u,
|
||||
571u,
|
||||
580u,
|
||||
589u,
|
||||
598u,
|
||||
607u,
|
||||
616u,
|
||||
625u,
|
||||
635u,
|
||||
645u,
|
||||
655u,
|
||||
665u,
|
||||
675u,
|
||||
685u,
|
||||
695u,
|
||||
705u,
|
||||
715u,
|
||||
725u,
|
||||
735u,
|
||||
745u,
|
||||
755u,
|
||||
766u,
|
||||
777u,
|
||||
788u,
|
||||
799u,
|
||||
810u,
|
||||
821u,
|
||||
832u,
|
||||
843u,
|
||||
854u,
|
||||
865u,
|
||||
876u,
|
||||
887u,
|
||||
898u,
|
||||
909u,
|
||||
921u,
|
||||
933u,
|
||||
945u,
|
||||
957u,
|
||||
969u,
|
||||
981u,
|
||||
993u,
|
||||
1005u,
|
||||
1017u,
|
||||
1029u,
|
||||
1041u,
|
||||
1053u,
|
||||
1065u,
|
||||
1077u,
|
||||
1090u,
|
||||
1103u,
|
||||
1116u,
|
||||
1129u,
|
||||
1142u,
|
||||
1155u,
|
||||
1168u,
|
||||
1181u,
|
||||
1194u,
|
||||
1207u,
|
||||
1220u,
|
||||
1233u,
|
||||
1246u,
|
||||
1259u,
|
||||
1273u,
|
||||
1287u,
|
||||
1301u,
|
||||
1315u,
|
||||
1329u,
|
||||
1343u,
|
||||
1357u,
|
||||
1371u,
|
||||
1385u,
|
||||
1399u,
|
||||
1413u,
|
||||
1427u,
|
||||
1441u,
|
||||
1456u,
|
||||
1471u,
|
||||
1486u,
|
||||
1501u,
|
||||
1516u,
|
||||
1531u,
|
||||
1546u,
|
||||
1561u,
|
||||
1576u,
|
||||
1591u,
|
||||
1606u,
|
||||
1621u,
|
||||
1636u,
|
||||
1651u,
|
||||
1667u,
|
||||
1683u,
|
||||
1699u,
|
||||
1715u,
|
||||
1731u,
|
||||
1747u,
|
||||
1763u,
|
||||
1779u,
|
||||
1795u,
|
||||
1811u,
|
||||
1827u,
|
||||
1843u,
|
||||
1859u,
|
||||
1875u,
|
||||
1892u,
|
||||
1909u,
|
||||
1926u,
|
||||
1943u,
|
||||
1960u,
|
||||
1977u,
|
||||
1994u,
|
||||
2011u,
|
||||
2028u,
|
||||
2045u,
|
||||
2062u,
|
||||
2079u,
|
||||
2096u,
|
||||
2113u,
|
||||
2131u,
|
||||
2149u,
|
||||
2167u,
|
||||
2185u,
|
||||
2203u,
|
||||
2221u,
|
||||
2239u,
|
||||
2257u,
|
||||
2275u,
|
||||
2293u,
|
||||
2311u,
|
||||
2329u,
|
||||
2347u,
|
||||
2365u,
|
||||
2384u,
|
||||
2403u,
|
||||
2422u,
|
||||
2441u,
|
||||
2460u,
|
||||
2479u,
|
||||
2498u,
|
||||
2517u,
|
||||
2536u,
|
||||
2555u,
|
||||
2574u,
|
||||
2593u,
|
||||
2612u,
|
||||
2632u,
|
||||
2652u,
|
||||
2672u,
|
||||
2692u,
|
||||
2712u,
|
||||
2732u,
|
||||
2752u,
|
||||
2772u,
|
||||
2792u,
|
||||
2812u,
|
||||
2832u,
|
||||
2852u,
|
||||
2872u,
|
||||
2892u,
|
||||
2913u,
|
||||
2934u,
|
||||
2955u,
|
||||
2976u,
|
||||
2997u,
|
||||
3018u,
|
||||
3039u,
|
||||
3060u,
|
||||
3081u,
|
||||
3102u,
|
||||
3123u,
|
||||
3144u,
|
||||
3165u,
|
||||
3186u,
|
||||
3208u,
|
||||
3230u,
|
||||
3252u,
|
||||
3274u,
|
||||
3296u,
|
||||
3318u,
|
||||
3340u,
|
||||
3362u,
|
||||
3384u,
|
||||
3406u,
|
||||
3428u,
|
||||
3450u,
|
||||
3472u,
|
||||
3494u,
|
||||
3517u,
|
||||
3540u,
|
||||
3563u,
|
||||
3586u,
|
||||
3609u,
|
||||
3632u,
|
||||
3655u,
|
||||
3678u,
|
||||
3701u,
|
||||
3724u,
|
||||
3747u,
|
||||
3770u,
|
||||
3793u,
|
||||
3817u,
|
||||
3841u,
|
||||
3865u,
|
||||
3889u,
|
||||
3913u,
|
||||
3937u,
|
||||
3961u,
|
||||
3985u,
|
||||
4009u,
|
||||
4033u,
|
||||
4057u,
|
||||
4081u,
|
||||
4105u,
|
||||
4129u,
|
||||
4154u,
|
||||
4179u,
|
||||
4204u,
|
||||
4229u,
|
||||
4254u,
|
||||
4279u,
|
||||
4304u,
|
||||
4329u,
|
||||
4354u,
|
||||
4379u,
|
||||
4404u,
|
||||
4429u,
|
||||
4454u,
|
||||
4479u,
|
||||
4505u,
|
||||
};
|
||||
|
||||
/* returns result: 0 = OK; non-zero = error */
|
||||
int get_pow5 (uint32_t exp, const uint32_t **p5, int *sz_in_32bit_words)
|
||||
{
|
||||
if (exp <= MAX_POW5_IN_TABLE)
|
||||
{
|
||||
uint16_t idx = pow5w[exp];
|
||||
*p5 = &pow5[idx];
|
||||
*sz_in_32bit_words = pow5w[exp + 1] - idx;
|
||||
return 0;
|
||||
}
|
||||
else
|
||||
{
|
||||
*p5 = &pow5[0];
|
||||
*sz_in_32bit_words = 0;
|
||||
return 1;
|
||||
}
|
||||
}
|
||||
|
||||
#endif
|
||||
|
|
@ -0,0 +1,4 @@
|
|||
CONTRIB_DEFS += -DPIC_CSTRING_TO_DOUBLE=emyg_strtod -DPIC_DOUBLE_TO_CSTRING=emyg_dtoa
|
||||
|
||||
CONTRIB_SRCS += contrib/10.roundtrip/emyg_dtoa.c \
|
||||
contrib/10.roundtrip/emyg_atod.c
|
||||
Loading…
Reference in New Issue