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authorAnatol Belski <ab@php.net>2015-03-17 16:13:10 +0100
committerAnatol Belski <ab@php.net>2015-03-17 22:11:26 +0100
commit5d4616e2b08f20ce6a582587cf9d3e34775a43a4 (patch)
treecf75003d2fae71df3cd955f6b8e6078f9f68c7d1 /Zend/zend_strtod.c
parent5c230baf75fb17d1d0b8ec407a7479d02b25068a (diff)
downloadphp-git-5d4616e2b08f20ce6a582587cf9d3e34775a43a4.tar.gz
first shot on updating strtod stuff
Diffstat (limited to 'Zend/zend_strtod.c')
-rw-r--r--Zend/zend_strtod.c4453
1 files changed, 3158 insertions, 1295 deletions
diff --git a/Zend/zend_strtod.c b/Zend/zend_strtod.c
index 39fb4f742a..32ab5ae033 100644
--- a/Zend/zend_strtod.c
+++ b/Zend/zend_strtod.c
@@ -2,7 +2,7 @@
*
* The author of this software is David M. Gay.
*
- * Copyright (c) 1991 by AT&T.
+ * Copyright (c) 1991, 2000, 2001 by Lucent Technologies.
*
* Permission to use, copy, modify, and distribute this software for any
* purpose without fee is hereby granted, provided that this entire notice
@@ -17,16 +17,22 @@
*
***************************************************************/
-/* Please send bug reports to
- David M. Gay
- AT&T Bell Laboratories, Room 2C-463
- 600 Mountain Avenue
- Murray Hill, NJ 07974-2070
- U.S.A.
- dmg@research.att.com or research!dmg
+/* Please send bug reports to David M. Gay (dmg at acm dot org,
+ * with " at " changed at "@" and " dot " changed to "."). */
+
+/* On a machine with IEEE extended-precision registers, it is
+ * necessary to specify double-precision (53-bit) rounding precision
+ * before invoking strtod or dtoa. If the machine uses (the equivalent
+ * of) Intel 80x87 arithmetic, the call
+ * _control87(PC_53, MCW_PC);
+ * does this with many compilers. Whether this or another call is
+ * appropriate depends on the compiler; for this to work, it may be
+ * necessary to #include "float.h" or another system-dependent header
+ * file.
*/
/* strtod for IEEE-, VAX-, and IBM-arithmetic machines.
+ * (Note that IEEE arithmetic is disabled by gcc's -ffast-math flag.)
*
* This strtod returns a nearest machine number to the input decimal
* string (or sets errno to ERANGE). With IEEE arithmetic, ties are
@@ -62,23 +68,41 @@
* #define IEEE_BIG_ENDIAN for IEEE-arithmetic machines where the most
* significant byte has the lowest address.
* #define Long int on machines with 32-bit ints and 64-bit longs.
- * #define Sudden_Underflow for IEEE-format machines without gradual
- * underflow (i.e., that flush to zero on underflow).
* #define IBM for IBM mainframe-style floating-point arithmetic.
- * #define VAX for VAX-style floating-point arithmetic.
- * #define Unsigned_Shifts if >> does treats its left operand as unsigned.
+ * #define VAX for VAX-style floating-point arithmetic (D_floating).
* #define No_leftright to omit left-right logic in fast floating-point
- * computation of dtoa.
- * #define Check_FLT_ROUNDS if FLT_ROUNDS can assume the values 2 or 3.
+ * computation of dtoa. This will cause dtoa modes 4 and 5 to be
+ * treated the same as modes 2 and 3 for some inputs.
+ * #define Honor_FLT_ROUNDS if FLT_ROUNDS can assume the values 2 or 3
+ * and strtod and dtoa should round accordingly. Unless Trust_FLT_ROUNDS
+ * is also #defined, fegetround() will be queried for the rounding mode.
+ * Note that both FLT_ROUNDS and fegetround() are specified by the C99
+ * standard (and are specified to be consistent, with fesetround()
+ * affecting the value of FLT_ROUNDS), but that some (Linux) systems
+ * do not work correctly in this regard, so using fegetround() is more
+ * portable than using FLT_ROUNDS directly.
+ * #define Check_FLT_ROUNDS if FLT_ROUNDS can assume the values 2 or 3
+ * and Honor_FLT_ROUNDS is not #defined.
* #define RND_PRODQUOT to use rnd_prod and rnd_quot (assembly routines
* that use extended-precision instructions to compute rounded
* products and quotients) with IBM.
- * #define ROUND_BIASED for IEEE-format with biased rounding.
+ * #define ROUND_BIASED for IEEE-format with biased rounding and arithmetic
+ * that rounds toward +Infinity.
+ * #define ROUND_BIASED_without_Round_Up for IEEE-format with biased
+ * rounding when the underlying floating-point arithmetic uses
+ * unbiased rounding. This prevent using ordinary floating-point
+ * arithmetic when the result could be computed with one rounding error.
* #define Inaccurate_Divide for IEEE-format with correctly rounded
* products but inaccurate quotients, e.g., for Intel i860.
- * #define Just_16 to store 16 bits per 32-bit Long when doing high-precision
- * integer arithmetic. Whether this speeds things up or slows things
- * down depends on the machine and the number being converted.
+ * #define NO_LONG_LONG on machines that do not have a "long long"
+ * integer type (of >= 64 bits). On such machines, you can
+ * #define Just_16 to store 16 bits per 32-bit Long when doing
+ * high-precision integer arithmetic. Whether this speeds things
+ * up or slows things down depends on the machine and the number
+ * being converted. If long long is available and the name is
+ * something other than "long long", #define Llong to be the name,
+ * and if "unsigned Llong" does not work as an unsigned version of
+ * Llong, #define #ULLong to be the corresponding unsigned type.
* #define KR_headers for old-style C function headers.
* #define Bad_float_h if your system lacks a float.h or if it does not
* define some or all of DBL_DIG, DBL_MAX_10_EXP, DBL_MAX_EXP,
@@ -86,13 +110,87 @@
* #define MALLOC your_malloc, where your_malloc(n) acts like malloc(n)
* if memory is available and otherwise does something you deem
* appropriate. If MALLOC is undefined, malloc will be invoked
- * directly -- and assumed always to succeed.
+ * directly -- and assumed always to succeed. Similarly, if you
+ * want something other than the system's free() to be called to
+ * recycle memory acquired from MALLOC, #define FREE to be the
+ * name of the alternate routine. (FREE or free is only called in
+ * pathological cases, e.g., in a dtoa call after a dtoa return in
+ * mode 3 with thousands of digits requested.)
+ * #define Omit_Private_Memory to omit logic (added Jan. 1998) for making
+ * memory allocations from a private pool of memory when possible.
+ * When used, the private pool is PRIVATE_MEM bytes long: 2304 bytes,
+ * unless #defined to be a different length. This default length
+ * suffices to get rid of MALLOC calls except for unusual cases,
+ * such as decimal-to-binary conversion of a very long string of
+ * digits. The longest string dtoa can return is about 751 bytes
+ * long. For conversions by strtod of strings of 800 digits and
+ * all dtoa conversions in single-threaded executions with 8-byte
+ * pointers, PRIVATE_MEM >= 7400 appears to suffice; with 4-byte
+ * pointers, PRIVATE_MEM >= 7112 appears adequate.
+ * #define NO_INFNAN_CHECK if you do not wish to have INFNAN_CHECK
+ * #defined automatically on IEEE systems. On such systems,
+ * when INFNAN_CHECK is #defined, strtod checks
+ * for Infinity and NaN (case insensitively). On some systems
+ * (e.g., some HP systems), it may be necessary to #define NAN_WORD0
+ * appropriately -- to the most significant word of a quiet NaN.
+ * (On HP Series 700/800 machines, -DNAN_WORD0=0x7ff40000 works.)
+ * When INFNAN_CHECK is #defined and No_Hex_NaN is not #defined,
+ * strtod also accepts (case insensitively) strings of the form
+ * NaN(x), where x is a string of hexadecimal digits and spaces;
+ * if there is only one string of hexadecimal digits, it is taken
+ * for the 52 fraction bits of the resulting NaN; if there are two
+ * or more strings of hex digits, the first is for the high 20 bits,
+ * the second and subsequent for the low 32 bits, with intervening
+ * white space ignored; but if this results in none of the 52
+ * fraction bits being on (an IEEE Infinity symbol), then NAN_WORD0
+ * and NAN_WORD1 are used instead.
+ * #define MULTIPLE_THREADS if the system offers preemptively scheduled
+ * multiple threads. In this case, you must provide (or suitably
+ * #define) two locks, acquired by ACQUIRE_DTOA_LOCK(n) and freed
+ * by FREE_DTOA_LOCK(n) for n = 0 or 1. (The second lock, accessed
+ * in pow5mult, ensures lazy evaluation of only one copy of high
+ * powers of 5; omitting this lock would introduce a small
+ * probability of wasting memory, but would otherwise be harmless.)
+ * You must also invoke freedtoa(s) to free the value s returned by
+ * dtoa. You may do so whether or not MULTIPLE_THREADS is #defined.
+ * #define NO_IEEE_Scale to disable new (Feb. 1997) logic in strtod that
+ * avoids underflows on inputs whose result does not underflow.
+ * If you #define NO_IEEE_Scale on a machine that uses IEEE-format
+ * floating-point numbers and flushes underflows to zero rather
+ * than implementing gradual underflow, then you must also #define
+ * Sudden_Underflow.
+ * #define USE_LOCALE to use the current locale's decimal_point value.
+ * #define SET_INEXACT if IEEE arithmetic is being used and extra
+ * computation should be done to set the inexact flag when the
+ * result is inexact and avoid setting inexact when the result
+ * is exact. In this case, dtoa.c must be compiled in
+ * an environment, perhaps provided by #include "dtoa.c" in a
+ * suitable wrapper, that defines two functions,
+ * int get_inexact(void);
+ * void clear_inexact(void);
+ * such that get_inexact() returns a nonzero value if the
+ * inexact bit is already set, and clear_inexact() sets the
+ * inexact bit to 0. When SET_INEXACT is #defined, strtod
+ * also does extra computations to set the underflow and overflow
+ * flags when appropriate (i.e., when the result is tiny and
+ * inexact or when it is a numeric value rounded to +-infinity).
+ * #define NO_ERRNO if strtod should not assign errno = ERANGE when
+ * the result overflows to +-Infinity or underflows to 0.
+ * #define NO_HEX_FP to omit recognition of hexadecimal floating-point
+ * values by strtod.
+ * #define NO_STRTOD_BIGCOMP (on IEEE-arithmetic systems only for now)
+ * to disable logic for "fast" testing of very long input strings
+ * to strtod. This testing proceeds by initially truncating the
+ * input string, then if necessary comparing the whole string with
+ * a decimal expansion to decide close cases. This logic is only
+ * used for input more than STRTOD_DIGLIM digits long (default 40).
*/
/* $Id$ */
#include <zend_operators.h>
#include <zend_strtod.h>
+#include "zend_strtod_int.h"
#ifdef ZTS
#include <TSRM.h>
@@ -102,130 +200,86 @@
#include <stdio.h>
#include <ctype.h>
#include <stdarg.h>
-#include <string.h>
-#include <stdlib.h>
#include <math.h>
-#ifdef HAVE_LOCALE_H
-#include <locale.h>
-#endif
-
#ifdef HAVE_SYS_TYPES_H
#include <sys/types.h>
#endif
-#if defined(HAVE_INTTYPES_H)
-#include <inttypes.h>
-#elif defined(HAVE_STDINT_H)
-#include <stdint.h>
-#endif
+#include "stdlib.h"
+#include "string.h"
-#ifndef HAVE_INT32_T
-# if SIZEOF_INT == 4
-typedef int int32_t;
-# elif SIZEOF_LONG == 4
-typedef long int int32_t;
-# endif
+#ifndef Long
+#define Long int32_t
+#endif
+#ifndef ULong
+#define ULong uint32_t
#endif
-#ifndef HAVE_UINT32_T
-# if SIZEOF_INT == 4
-typedef unsigned int uint32_t;
-# elif SIZEOF_LONG == 4
-typedef unsigned long int uint32_t;
-# endif
+
+#ifdef USE_LOCALE
+#include "locale.h"
#endif
-#if (defined(__APPLE__) || defined(__APPLE_CC__)) && (defined(__BIG_ENDIAN__) || defined(__LITTLE_ENDIAN__))
-# if defined(__LITTLE_ENDIAN__)
-# undef WORDS_BIGENDIAN
-# else
-# if defined(__BIG_ENDIAN__)
-# define WORDS_BIGENDIAN
-# endif
-# endif
+#ifdef Honor_FLT_ROUNDS
+#ifndef Trust_FLT_ROUNDS
+#include <fenv.h>
+#endif
#endif
-#ifdef WORDS_BIGENDIAN
-#define IEEE_BIG_ENDIAN
+#ifdef MALLOC
+#ifdef KR_headers
+extern char *MALLOC();
#else
-#define IEEE_LITTLE_ENDIAN
+extern void *MALLOC(size_t);
#endif
-
-#if defined(__arm__) && !defined(__VFP_FP__)
-/*
- * * Although the CPU is little endian the FP has different
- * * byte and word endianness. The byte order is still little endian
- * * but the word order is big endian.
- * */
-#define IEEE_BIG_ENDIAN
-#undef IEEE_LITTLE_ENDIAN
+#else
+#define MALLOC malloc
#endif
-#ifdef __vax__
-#define VAX
-#undef IEEE_LITTLE_ENDIAN
+#ifndef Omit_Private_Memory
+#ifndef PRIVATE_MEM
+#define PRIVATE_MEM 2304
#endif
-
-#if defined(_MSC_VER)
-#define int32_t __int32
-#define uint32_t unsigned __int32
-#define IEEE_LITTLE_ENDIAN
+#define PRIVATE_mem ((PRIVATE_MEM+sizeof(double)-1)/sizeof(double))
+static double private_mem[PRIVATE_mem], *pmem_next = private_mem;
#endif
-#define Long int32_t
-#define ULong uint32_t
-
-#ifdef __cplusplus
-#include "malloc.h"
-#include "memory.h"
-#else
-#ifndef KR_headers
-#include "stdlib.h"
-#include "string.h"
-#include "locale.h"
-#else
-#include "malloc.h"
-#include "memory.h"
+#undef IEEE_Arith
+#undef Avoid_Underflow
+#ifdef IEEE_MC68k
+#define IEEE_Arith
#endif
+#ifdef IEEE_8087
+#define IEEE_Arith
#endif
-#ifdef MALLOC
-#ifdef KR_headers
-extern char *MALLOC();
-#else
-extern void *MALLOC(size_t);
+#ifdef IEEE_Arith
+#ifndef NO_INFNAN_CHECK
+#undef INFNAN_CHECK
+#define INFNAN_CHECK
#endif
#else
-#define MALLOC malloc
+#undef INFNAN_CHECK
+#define NO_STRTOD_BIGCOMP
#endif
-#include "ctype.h"
#include "errno.h"
#ifdef Bad_float_h
-#ifdef IEEE_BIG_ENDIAN
-#define IEEE_ARITHMETIC
-#endif
-#ifdef IEEE_LITTLE_ENDIAN
-#define IEEE_ARITHMETIC
-#endif
-#ifdef IEEE_ARITHMETIC
+#ifdef IEEE_Arith
#define DBL_DIG 15
#define DBL_MAX_10_EXP 308
#define DBL_MAX_EXP 1024
#define FLT_RADIX 2
-#define FLT_ROUNDS 1
-#define DBL_MAX 1.7976931348623157e+308
-#endif
+#endif /*IEEE_Arith*/
#ifdef IBM
#define DBL_DIG 16
#define DBL_MAX_10_EXP 75
#define DBL_MAX_EXP 63
#define FLT_RADIX 16
-#define FLT_ROUNDS 0
#define DBL_MAX 7.2370055773322621e+75
#endif
@@ -234,22 +288,24 @@ extern void *MALLOC(size_t);
#define DBL_MAX_10_EXP 38
#define DBL_MAX_EXP 127
#define FLT_RADIX 2
-#define FLT_ROUNDS 1
#define DBL_MAX 1.7014118346046923e+38
#endif
-
#ifndef LONG_MAX
#define LONG_MAX 2147483647
#endif
-#else
+
+#else /* ifndef Bad_float_h */
#include "float.h"
-#endif
+#endif /* Bad_float_h */
+
#ifndef __MATH_H__
#include "math.h"
#endif
-BEGIN_EXTERN_C()
+#ifdef __cplusplus
+extern "C" {
+#endif
#ifndef CONST
#ifdef KR_headers
@@ -259,40 +315,41 @@ BEGIN_EXTERN_C()
#endif
#endif
-#ifdef Unsigned_Shifts
-#define Sign_Extend(a,b) if (b < 0) a |= 0xffff0000;
+#if defined(IEEE_8087) + defined(IEEE_MC68k) + defined(VAX) + defined(IBM) != 1
+Exactly one of IEEE_8087, IEEE_MC68k, VAX, or IBM should be defined.
+#endif
+
+typedef union { double d; ULong L[2]; } U;
+
+#ifdef IEEE_8087
+#define word0(x) (x)->L[1]
+#define word1(x) (x)->L[0]
#else
-#define Sign_Extend(a,b) /*no-op*/
+#define word0(x) (x)->L[0]
+#define word1(x) (x)->L[1]
#endif
+#define dval(x) (x)->d
-#if defined(IEEE_LITTLE_ENDIAN) + defined(IEEE_BIG_ENDIAN) + defined(VAX) + \
- defined(IBM) != 1
-#error "Exactly one of IEEE_LITTLE_ENDIAN IEEE_BIG_ENDIAN, VAX, or IBM should be defined."
+#ifndef STRTOD_DIGLIM
+#define STRTOD_DIGLIM 40
#endif
- typedef union {
- double d;
- ULong ul[2];
- } _double;
-#define value(x) ((x).d)
-#ifdef IEEE_LITTLE_ENDIAN
-#define word0(x) ((x).ul[1])
-#define word1(x) ((x).ul[0])
+#ifdef DIGLIM_DEBUG
+extern int strtod_diglim;
#else
-#define word0(x) ((x).ul[0])
-#define word1(x) ((x).ul[1])
+#define strtod_diglim STRTOD_DIGLIM
#endif
/* The following definition of Storeinc is appropriate for MIPS processors.
* An alternative that might be better on some machines is
* #define Storeinc(a,b,c) (*a++ = b << 16 | c & 0xffff)
*/
-#if defined(IEEE_LITTLE_ENDIAN) + defined(VAX) + defined(__arm__)
+#if defined(IEEE_8087) + defined(VAX)
#define Storeinc(a,b,c) (((unsigned short *)a)[1] = (unsigned short)b, \
- ((unsigned short *)a)[0] = (unsigned short)c, a++)
+((unsigned short *)a)[0] = (unsigned short)c, a++)
#else
#define Storeinc(a,b,c) (((unsigned short *)a)[0] = (unsigned short)b, \
- ((unsigned short *)a)[1] = (unsigned short)c, a++)
+((unsigned short *)a)[1] = (unsigned short)c, a++)
#endif
/* #define P DBL_MANT_DIG */
@@ -301,15 +358,16 @@ BEGIN_EXTERN_C()
/* Quick_max = floor((P-1)*log(FLT_RADIX)/log(10) - 1) */
/* Int_max = floor(P*log(FLT_RADIX)/log(10) - 1) */
-#if defined(IEEE_LITTLE_ENDIAN) + defined(IEEE_BIG_ENDIAN)
+#ifdef IEEE_Arith
#define Exp_shift 20
#define Exp_shift1 20
#define Exp_msk1 0x100000
#define Exp_msk11 0x100000
#define Exp_mask 0x7ff00000
#define P 53
+#define Nbits 53
#define Bias 1023
-#define IEEE_Arith
+#define Emax 1023
#define Emin (-1022)
#define Exp_1 0x3ff00000
#define Exp_11 0x3ff00000
@@ -327,21 +385,50 @@ BEGIN_EXTERN_C()
#define Tiny1 1
#define Quick_max 14
#define Int_max 14
-#define Infinite(x) (word0(x) == 0x7ff00000) /* sufficient test for here */
+#ifndef NO_IEEE_Scale
+#define Avoid_Underflow
+#ifdef Flush_Denorm /* debugging option */
+#undef Sudden_Underflow
+#endif
+#endif
+
+#ifndef Flt_Rounds
+#ifdef FLT_ROUNDS
+#define Flt_Rounds FLT_ROUNDS
+#else
+#define Flt_Rounds 1
+#endif
+#endif /*Flt_Rounds*/
+
+#ifdef Honor_FLT_ROUNDS
+#undef Check_FLT_ROUNDS
+#define Check_FLT_ROUNDS
#else
+#define Rounding Flt_Rounds
+#endif
+
+#else /* ifndef IEEE_Arith */
+#undef Check_FLT_ROUNDS
+#undef Honor_FLT_ROUNDS
+#undef SET_INEXACT
#undef Sudden_Underflow
#define Sudden_Underflow
#ifdef IBM
+#undef Flt_Rounds
+#define Flt_Rounds 0
#define Exp_shift 24
#define Exp_shift1 24
#define Exp_msk1 0x1000000
#define Exp_msk11 0x1000000
#define Exp_mask 0x7f000000
#define P 14
+#define Nbits 56
#define Bias 65
+#define Emax 248
+#define Emin (-260)
#define Exp_1 0x41000000
#define Exp_11 0x41000000
-#define Ebits 8 /* exponent has 7 bits, but 8 is the right value in b2d */
+#define Ebits 8 /* exponent has 7 bits, but 8 is the right value in b2d */
#define Frac_mask 0xffffff
#define Frac_mask1 0xffffff
#define Bletch 4
@@ -356,13 +443,18 @@ BEGIN_EXTERN_C()
#define Quick_max 14
#define Int_max 15
#else /* VAX */
+#undef Flt_Rounds
+#define Flt_Rounds 1
#define Exp_shift 23
#define Exp_shift1 7
#define Exp_msk1 0x80
#define Exp_msk11 0x800000
#define Exp_mask 0x7f80
#define P 56
+#define Nbits 56
#define Bias 129
+#define Emax 126
+#define Emin (-129)
#define Exp_1 0x40800000
#define Exp_11 0x4080
#define Ebits 8
@@ -379,11 +471,16 @@ BEGIN_EXTERN_C()
#define Tiny1 0
#define Quick_max 15
#define Int_max 15
-#endif
-#endif
+#endif /* IBM, VAX */
+#endif /* IEEE_Arith */
#ifndef IEEE_Arith
#define ROUND_BIASED
+#else
+#ifdef ROUND_BIASED_without_Round_Up
+#undef ROUND_BIASED
+#define ROUND_BIASED
+#endif
#endif
#ifdef RND_PRODQUOT
@@ -402,30 +499,62 @@ extern double rnd_prod(double, double), rnd_quot(double, double);
#define Big0 (Frac_mask1 | Exp_msk1*(DBL_MAX_EXP+Bias-1))
#define Big1 0xffffffff
-#ifndef Just_16
-/* When Pack_32 is not defined, we store 16 bits per 32-bit Long.
- * * This makes some inner loops simpler and sometimes saves work
- * * during multiplications, but it often seems to make things slightly
- * * slower. Hence the default is now to store 32 bits per Long.
- * */
#ifndef Pack_32
#define Pack_32
#endif
+
+typedef struct BCinfo BCinfo;
+ struct
+BCinfo { int dp0, dp1, dplen, dsign, e0, inexact, nd, nd0, rounding, scale, uflchk; };
+
+#ifdef KR_headers
+#define FFFFFFFF ((((unsigned long)0xffff)<<16)|(unsigned long)0xffff)
+#else
+#define FFFFFFFF 0xffffffffUL
#endif
-#define Kmax 15
+#ifdef NO_LONG_LONG
+#undef ULLong
+#ifdef Just_16
+#undef Pack_32
+/* When Pack_32 is not defined, we store 16 bits per 32-bit Long.
+ * This makes some inner loops simpler and sometimes saves work
+ * during multiplications, but it often seems to make things slightly
+ * slower. Hence the default is now to store 32 bits per Long.
+ */
+#endif
+#else /* long long available */
+#ifndef Llong
+#define Llong long long
+#endif
+#ifndef ULLong
+#define ULLong unsigned Llong
+#endif
+#endif /* NO_LONG_LONG */
-struct Bigint {
+#ifndef MULTIPLE_THREADS
+#define ACQUIRE_DTOA_LOCK(n) /*nothing*/
+#define FREE_DTOA_LOCK(n) /*nothing*/
+#endif
+
+#define Kmax 7
+
+#ifdef __cplusplus
+extern "C" double strtod(const char *s00, char **se);
+extern "C" char *dtoa(double d, int mode, int ndigits,
+ int *decpt, int *sign, char **rve);
+#endif
+
+ struct
+Bigint {
struct Bigint *next;
int k, maxwds, sign, wds;
ULong x[1];
-};
+ };
-typedef struct Bigint Bigint;
+ typedef struct Bigint Bigint;
-/* static variables, multithreading fun! */
static Bigint *freelist[Kmax+1];
-static Bigint *p5s;
static void destroy_freelist(void);
@@ -434,14 +563,6 @@ static void destroy_freelist(void);
static MUTEX_T dtoa_mutex;
static MUTEX_T pow5mult_mutex;
-#define _THREAD_PRIVATE_MUTEX_LOCK(x) tsrm_mutex_lock(x);
-#define _THREAD_PRIVATE_MUTEX_UNLOCK(x) tsrm_mutex_unlock(x);
-
-#else
-
-#define _THREAD_PRIVATE_MUTEX_LOCK(x)
-#define _THREAD_PRIVATE_MUTEX_UNLOCK(x)
-
#endif /* ZTS */
#ifdef DEBUG
@@ -473,191 +594,261 @@ ZEND_API int zend_shutdown_strtod(void) /* {{{ */
}
/* }}} */
-static Bigint * Balloc(int k)
+ static Bigint *
+Balloc
+#ifdef KR_headers
+ (k) int k;
+#else
+ (int k)
+#endif
{
int x;
Bigint *rv;
+#ifndef Omit_Private_Memory
+ unsigned int len;
+#endif
if (k > Kmax) {
zend_error(E_ERROR, "Balloc() allocation exceeds list boundary");
}
-
- _THREAD_PRIVATE_MUTEX_LOCK(dtoa_mutex);
- if ((rv = freelist[k])) {
+ ACQUIRE_DTOA_LOCK(0);
+ /* The k > Kmax case does not need ACQUIRE_DTOA_LOCK(0), */
+ /* but this case seems very unlikely. */
+ if (k <= Kmax && (rv = freelist[k]))
freelist[k] = rv->next;
- } else {
+ else {
x = 1 << k;
- rv = (Bigint *)MALLOC(sizeof(Bigint) + (x-1)*sizeof(Long));
- if (!rv) {
- _THREAD_PRIVATE_MUTEX_UNLOCK(dtoa_mutex);
- zend_error(E_ERROR, "Balloc() failed to allocate memory");
- }
+#ifdef Omit_Private_Memory
+ rv = (Bigint *)MALLOC(sizeof(Bigint) + (x-1)*sizeof(ULong));
+#else
+ len = (sizeof(Bigint) + (x-1)*sizeof(ULong) + sizeof(double) - 1)
+ /sizeof(double);
+ if (k <= Kmax && pmem_next - private_mem + len <= PRIVATE_mem) {
+ rv = (Bigint*)pmem_next;
+ pmem_next += len;
+ }
+ else
+ rv = (Bigint*)MALLOC(len*sizeof(double));
+#endif
rv->k = k;
rv->maxwds = x;
- }
- _THREAD_PRIVATE_MUTEX_UNLOCK(dtoa_mutex);
+ }
+ FREE_DTOA_LOCK(0);
rv->sign = rv->wds = 0;
return rv;
-}
+ }
-static void Bfree(Bigint *v)
+ static void
+Bfree
+#ifdef KR_headers
+ (v) Bigint *v;
+#else
+ (Bigint *v)
+#endif
{
if (v) {
- _THREAD_PRIVATE_MUTEX_LOCK(dtoa_mutex);
- v->next = freelist[v->k];
- freelist[v->k] = v;
- _THREAD_PRIVATE_MUTEX_UNLOCK(dtoa_mutex);
+ if (v->k > Kmax)
+#ifdef FREE
+ FREE((void*)v);
+#else
+ free((void*)v);
+#endif
+ else {
+ ACQUIRE_DTOA_LOCK(0);
+ v->next = freelist[v->k];
+ freelist[v->k] = v;
+ FREE_DTOA_LOCK(0);
+ }
+ }
}
-}
#define Bcopy(x,y) memcpy((char *)&x->sign, (char *)&y->sign, \
- y->wds*sizeof(Long) + 2*sizeof(int))
-
-/* return value is only used as a simple string, so mis-aligned parts
- * inside the Bigint are not at risk on strict align architectures
- */
-static char * rv_alloc(int i) {
- int j, k, *r;
+y->wds*sizeof(Long) + 2*sizeof(int))
- j = sizeof(ULong);
- for(k = 0;
- sizeof(Bigint) - sizeof(ULong) - sizeof(int) + j <= i;
- j <<= 1) {
- k++;
- }
- r = (int*)Balloc(k);
- *r = k;
- return (char *)(r+1);
-}
-
-
-static char * nrv_alloc(char *s, char **rve, int n)
-{
- char *rv, *t;
-
- t = rv = rv_alloc(n);
- while((*t = *s++) !=0) {
- t++;
- }
- if (rve) {
- *rve = t;
- }
- return rv;
-}
-
-static Bigint * multadd(Bigint *b, int m, int a) /* multiply by m and add a */
+ static Bigint *
+multadd
+#ifdef KR_headers
+ (b, m, a) Bigint *b; int m, a;
+#else
+ (Bigint *b, int m, int a) /* multiply by m and add a */
+#endif
{
int i, wds;
- ULong *x, y;
+#ifdef ULLong
+ ULong *x;
+ ULLong carry, y;
+#else
+ ULong carry, *x, y;
#ifdef Pack_32
ULong xi, z;
#endif
+#endif
Bigint *b1;
wds = b->wds;
x = b->x;
i = 0;
+ carry = a;
do {
+#ifdef ULLong
+ y = *x * (ULLong)m + carry;
+ carry = y >> 32;
+ *x++ = y & FFFFFFFF;
+#else
#ifdef Pack_32
xi = *x;
- y = (xi & 0xffff) * m + a;
+ y = (xi & 0xffff) * m + carry;
z = (xi >> 16) * m + (y >> 16);
- a = (int)(z >> 16);
+ carry = z >> 16;
*x++ = (z << 16) + (y & 0xffff);
#else
- y = *x * m + a;
- a = (int)(y >> 16);
+ y = *x * m + carry;
+ carry = y >> 16;
*x++ = y & 0xffff;
#endif
- }
- while(++i < wds);
- if (a) {
+#endif
+ }
+ while(++i < wds);
+ if (carry) {
if (wds >= b->maxwds) {
b1 = Balloc(b->k+1);
Bcopy(b1, b);
Bfree(b);
b = b1;
- }
- b->x[wds++] = a;
+ }
+ b->x[wds++] = carry;
b->wds = wds;
+ }
+ return b;
}
+
+ static Bigint *
+s2b
+#ifdef KR_headers
+ (s, nd0, nd, y9, dplen) CONST char *s; int nd0, nd, dplen; ULong y9;
+#else
+ (const char *s, int nd0, int nd, ULong y9, int dplen)
+#endif
+{
+ Bigint *b;
+ int i, k;
+ Long x, y;
+
+ x = (nd + 8) / 9;
+ for(k = 0, y = 1; x > y; y <<= 1, k++) ;
+#ifdef Pack_32
+ b = Balloc(k);
+ b->x[0] = y9;
+ b->wds = 1;
+#else
+ b = Balloc(k+1);
+ b->x[0] = y9 & 0xffff;
+ b->wds = (b->x[1] = y9 >> 16) ? 2 : 1;
+#endif
+
+ i = 9;
+ if (9 < nd0) {
+ s += 9;
+ do b = multadd(b, 10, *s++ - '0');
+ while(++i < nd0);
+ s += dplen;
+ }
+ else
+ s += dplen + 9;
+ for(; i < nd; i++)
+ b = multadd(b, 10, *s++ - '0');
return b;
-}
+ }
-static int hi0bits(ULong x)
+ static int
+hi0bits
+#ifdef KR_headers
+ (x) ULong x;
+#else
+ (ULong x)
+#endif
{
int k = 0;
if (!(x & 0xffff0000)) {
k = 16;
x <<= 16;
- }
+ }
if (!(x & 0xff000000)) {
k += 8;
x <<= 8;
- }
+ }
if (!(x & 0xf0000000)) {
k += 4;
x <<= 4;
- }
+ }
if (!(x & 0xc0000000)) {
k += 2;
x <<= 2;
- }
+ }
if (!(x & 0x80000000)) {
k++;
- if (!(x & 0x40000000)) {
+ if (!(x & 0x40000000))
return 32;
}
- }
return k;
-}
+ }
-static int lo0bits(ULong *y)
+ static int
+lo0bits
+#ifdef KR_headers
+ (y) ULong *y;
+#else
+ (ULong *y)
+#endif
{
int k;
ULong x = *y;
if (x & 7) {
- if (x & 1) {
+ if (x & 1)
return 0;
- }
if (x & 2) {
*y = x >> 1;
return 1;
- }
+ }
*y = x >> 2;
return 2;
- }
+ }
k = 0;
if (!(x & 0xffff)) {
k = 16;
x >>= 16;
- }
+ }
if (!(x & 0xff)) {
k += 8;
x >>= 8;
- }
+ }
if (!(x & 0xf)) {
k += 4;
x >>= 4;
- }
+ }
if (!(x & 0x3)) {
k += 2;
x >>= 2;
- }
+ }
if (!(x & 1)) {
k++;
x >>= 1;
- if (!(x & 1)) {
+ if (!x)
return 32;
}
- }
*y = x;
return k;
-}
+ }
-static Bigint * i2b(int i)
+ static Bigint *
+i2b
+#ifdef KR_headers
+ (i) int i;
+#else
+ (int i)
+#endif
{
Bigint *b;
@@ -665,42 +856,67 @@ static Bigint * i2b(int i)
b->x[0] = i;
b->wds = 1;
return b;
-}
+ }
-static Bigint * mult(Bigint *a, Bigint *b)
+ static Bigint *
+mult
+#ifdef KR_headers
+ (a, b) Bigint *a, *b;
+#else
+ (Bigint *a, Bigint *b)
+#endif
{
Bigint *c;
int k, wa, wb, wc;
- ULong carry, y, z;
ULong *x, *xa, *xae, *xb, *xbe, *xc, *xc0;
+ ULong y;
+#ifdef ULLong
+ ULLong carry, z;
+#else
+ ULong carry, z;
#ifdef Pack_32
ULong z2;
#endif
+#endif
if (a->wds < b->wds) {
c = a;
a = b;
b = c;
- }
+ }
k = a->k;
wa = a->wds;
wb = b->wds;
wc = wa + wb;
- if (wc > a->maxwds) {
+ if (wc > a->maxwds)
k++;
- }
c = Balloc(k);
- for(x = c->x, xa = x + wc; x < xa; x++) {
+ for(x = c->x, xa = x + wc; x < xa; x++)
*x = 0;
- }
xa = a->x;
xae = xa + wa;
xb = b->x;
xbe = xb + wb;
xc0 = c->x;
+#ifdef ULLong
+ for(; xb < xbe; xc0++) {
+ if ((y = *xb++)) {
+ x = xa;
+ xc = xc0;
+ carry = 0;
+ do {
+ z = *x++ * (ULLong)y + *xc + carry;
+ carry = z >> 32;
+ *xc++ = z & FFFFFFFF;
+ }
+ while(x < xae);
+ *xc = carry;
+ }
+ }
+#else
#ifdef Pack_32
for(; xb < xbe; xb++, xc0++) {
- if ((y = *xb & 0xffff)) {
+ if (y = *xb & 0xffff) {
x = xa;
xc = xc0;
carry = 0;
@@ -710,11 +926,11 @@ static Bigint * mult(Bigint *a, Bigint *b)
z2 = (*x++ >> 16) * y + (*xc >> 16) + carry;
carry = z2 >> 16;
Storeinc(xc, z2, z);
- }
- while(x < xae);
+ }
+ while(x < xae);
*xc = carry;
- }
- if ((y = *xb >> 16)) {
+ }
+ if (y = *xb >> 16) {
x = xa;
xc = xc0;
carry = 0;
@@ -725,11 +941,11 @@ static Bigint * mult(Bigint *a, Bigint *b)
Storeinc(xc, z, z2);
z2 = (*x++ >> 16) * y + (*xc & 0xffff) + carry;
carry = z2 >> 16;
- }
- while(x < xae);
+ }
+ while(x < xae);
*xc = z2;
+ }
}
- }
#else
for(; xb < xbe; xc0++) {
if (y = *xb++) {
@@ -740,93 +956,84 @@ static Bigint * mult(Bigint *a, Bigint *b)
z = *x++ * y + *xc + carry;
carry = z >> 16;
*xc++ = z & 0xffff;
- }
- while(x < xae);
+ }
+ while(x < xae);
*xc = carry;
+ }
}
- }
+#endif
#endif
for(xc0 = c->x, xc = xc0 + wc; wc > 0 && !*--xc; --wc) ;
c->wds = wc;
return c;
-}
+ }
-static Bigint * s2b (CONST char *s, int nd0, int nd, ULong y9)
-{
- Bigint *b;
- int i, k;
- Long x, y;
+ static Bigint *p5s;
- x = (nd + 8) / 9;
- for(k = 0, y = 1; x > y; y <<= 1, k++) ;
-#ifdef Pack_32
- b = Balloc(k);
- b->x[0] = y9;
- b->wds = 1;
+ static Bigint *
+pow5mult
+#ifdef KR_headers
+ (b, k) Bigint *b; int k;
#else
- b = Balloc(k+1);
- b->x[0] = y9 & 0xffff;
- b->wds = (b->x[1] = y9 >> 16) ? 2 : 1;
+ (Bigint *b, int k)
#endif
-
- i = 9;
- if (9 < nd0) {
- s += 9;
- do b = multadd(b, 10, *s++ - '0');
- while(++i < nd0);
- s++;
- } else {
- s += 10;
- }
- for(; i < nd; i++) {
- b = multadd(b, 10, *s++ - '0');
- }
- return b;
-}
-
-static Bigint * pow5mult(Bigint *b, int k)
{
Bigint *b1, *p5, *p51;
int i;
static int p05[3] = { 5, 25, 125 };
- _THREAD_PRIVATE_MUTEX_LOCK(pow5mult_mutex);
- if ((i = k & 3)) {
+ if ((i = k & 3))
b = multadd(b, p05[i-1], 0);
- }
- if (!(k >>= 2)) {
- _THREAD_PRIVATE_MUTEX_UNLOCK(pow5mult_mutex);
+ if (!(k >>= 2))
return b;
- }
if (!(p5 = p5s)) {
/* first time */
+#ifdef MULTIPLE_THREADS
+ ACQUIRE_DTOA_LOCK(1);
+ if (!(p5 = p5s)) {
+ p5 = p5s = i2b(625);
+ p5->next = 0;
+ }
+ FREE_DTOA_LOCK(1);
+#else
p5 = p5s = i2b(625);
p5->next = 0;
- }
+#endif
+ }
for(;;) {
if (k & 1) {
b1 = mult(b, p5);
Bfree(b);
b = b1;
- }
- if (!(k >>= 1)) {
+ }
+ if (!(k >>= 1))
break;
- }
if (!(p51 = p5->next)) {
+#ifdef MULTIPLE_THREADS
+ ACQUIRE_DTOA_LOCK(1);
if (!(p51 = p5->next)) {
p51 = p5->next = mult(p5,p5);
p51->next = 0;
+ }
+ FREE_DTOA_LOCK(1);
+#else
+ p51 = p5->next = mult(p5,p5);
+ p51->next = 0;
+#endif
}
- }
p5 = p51;
- }
- _THREAD_PRIVATE_MUTEX_UNLOCK(pow5mult_mutex);
+ }
return b;
-}
-
+ }
-static Bigint *lshift(Bigint *b, int k)
+ static Bigint *
+lshift
+#ifdef KR_headers
+ (b, k) Bigint *b; int k;
+#else
+ (Bigint *b, int k)
+#endif
{
int i, k1, n, n1;
Bigint *b1;
@@ -839,14 +1046,12 @@ static Bigint *lshift(Bigint *b, int k)
#endif
k1 = b->k;
n1 = n + b->wds + 1;
- for(i = b->maxwds; n1 > i; i <<= 1) {
+ for(i = b->maxwds; n1 > i; i <<= 1)
k1++;
- }
b1 = Balloc(k1);
x1 = b1->x;
- for(i = 0; i < n; i++) {
+ for(i = 0; i < n; i++)
*x1++ = 0;
- }
x = b->x;
xe = x + b->wds;
#ifdef Pack_32
@@ -856,12 +1061,11 @@ static Bigint *lshift(Bigint *b, int k)
do {
*x1++ = *x << k | z;
z = *x++ >> k1;
- }
- while(x < xe);
- if ((*x1 = z)) {
+ }
+ while(x < xe);
+ if ((*x1 = z))
++n1;
}
- }
#else
if (k &= 0xf) {
k1 = 16 - k;
@@ -869,22 +1073,27 @@ static Bigint *lshift(Bigint *b, int k)
do {
*x1++ = *x << k & 0xffff | z;
z = *x++ >> k1;
- }
- while(x < xe);
- if (*x1 = z) {
+ }
+ while(x < xe);
+ if (*x1 = z)
++n1;
}
- }
#endif
else do
*x1++ = *x++;
- while(x < xe);
+ while(x < xe);
b1->wds = n1 - 1;
Bfree(b);
return b1;
-}
+ }
-static int cmp(Bigint *a, Bigint *b)
+ static int
+cmp
+#ifdef KR_headers
+ (a, b) Bigint *a, *b;
+#else
+ (Bigint *a, Bigint *b)
+#endif
{
ULong *xa, *xa0, *xb, *xb0;
int i, j;
@@ -908,19 +1117,29 @@ static int cmp(Bigint *a, Bigint *b)
return *xa < *xb ? -1 : 1;
if (xa <= xa0)
break;
- }
+ }
return 0;
-}
+ }
-static Bigint * diff(Bigint *a, Bigint *b)
+ static Bigint *
+diff
+#ifdef KR_headers
+ (a, b) Bigint *a, *b;
+#else
+ (Bigint *a, Bigint *b)
+#endif
{
Bigint *c;
int i, wa, wb;
- Long borrow, y; /* We need signed shifts here. */
ULong *xa, *xae, *xb, *xbe, *xc;
+#ifdef ULLong
+ ULLong borrow, y;
+#else
+ ULong borrow, y;
#ifdef Pack_32
- Long z;
+ ULong z;
+#endif
#endif
i = cmp(a,b);
@@ -929,15 +1148,15 @@ static Bigint * diff(Bigint *a, Bigint *b)
c->wds = 1;
c->x[0] = 0;
return c;
- }
+ }
if (i < 0) {
c = a;
a = b;
b = c;
i = 1;
- } else {
+ }
+ else
i = 0;
- }
c = Balloc(a->k);
c->sign = i;
wa = a->wds;
@@ -948,96 +1167,113 @@ static Bigint * diff(Bigint *a, Bigint *b)
xbe = xb + wb;
xc = c->x;
borrow = 0;
+#ifdef ULLong
+ do {
+ y = (ULLong)*xa++ - *xb++ - borrow;
+ borrow = y >> 32 & (ULong)1;
+ *xc++ = y & FFFFFFFF;
+ }
+ while(xb < xbe);
+ while(xa < xae) {
+ y = *xa++ - borrow;
+ borrow = y >> 32 & (ULong)1;
+ *xc++ = y & FFFFFFFF;
+ }
+#else
#ifdef Pack_32
do {
- y = (*xa & 0xffff) - (*xb & 0xffff) + borrow;
- borrow = y >> 16;
- Sign_Extend(borrow, y);
- z = (*xa++ >> 16) - (*xb++ >> 16) + borrow;
- borrow = z >> 16;
- Sign_Extend(borrow, z);
+ y = (*xa & 0xffff) - (*xb & 0xffff) - borrow;
+ borrow = (y & 0x10000) >> 16;
+ z = (*xa++ >> 16) - (*xb++ >> 16) - borrow;
+ borrow = (z & 0x10000) >> 16;
Storeinc(xc, z, y);
- } while(xb < xbe);
+ }
+ while(xb < xbe);
while(xa < xae) {
- y = (*xa & 0xffff) + borrow;
- borrow = y >> 16;
- Sign_Extend(borrow, y);
- z = (*xa++ >> 16) + borrow;
- borrow = z >> 16;
- Sign_Extend(borrow, z);
+ y = (*xa & 0xffff) - borrow;
+ borrow = (y & 0x10000) >> 16;
+ z = (*xa++ >> 16) - borrow;
+ borrow = (z & 0x10000) >> 16;
Storeinc(xc, z, y);
- }
+ }
#else
do {
- y = *xa++ - *xb++ + borrow;
- borrow = y >> 16;
- Sign_Extend(borrow, y);
+ y = *xa++ - *xb++ - borrow;
+ borrow = (y & 0x10000) >> 16;
*xc++ = y & 0xffff;
- } while(xb < xbe);
+ }
+ while(xb < xbe);
while(xa < xae) {
- y = *xa++ + borrow;
- borrow = y >> 16;
- Sign_Extend(borrow, y);
+ y = *xa++ - borrow;
+ borrow = (y & 0x10000) >> 16;
*xc++ = y & 0xffff;
- }
+ }
#endif
- while(!*--xc) {
+#endif
+ while(!*--xc)
wa--;
- }
c->wds = wa;
return c;
-}
+ }
-static double ulp (double _x)
+ static double
+ulp
+#ifdef KR_headers
+ (x) U *x;
+#else
+ (U *x)
+#endif
{
- volatile _double x;
- register Long L;
- volatile _double a;
+ Long L;
+ U u;
- value(x) = _x;
L = (word0(x) & Exp_mask) - (P-1)*Exp_msk1;
+#ifndef Avoid_Underflow
#ifndef Sudden_Underflow
if (L > 0) {
#endif
+#endif
#ifdef IBM
L |= Exp_msk1 >> 4;
#endif
- word0(a) = L;
- word1(a) = 0;
+ word0(&u) = L;
+ word1(&u) = 0;
+#ifndef Avoid_Underflow
#ifndef Sudden_Underflow
- }
+ }
else {
L = -L >> Exp_shift;
if (L < Exp_shift) {
- word0(a) = 0x80000 >> L;
- word1(a) = 0;
- }
+ word0(&u) = 0x80000 >> L;
+ word1(&u) = 0;
+ }
else {
- word0(a) = 0;
+ word0(&u) = 0;
L -= Exp_shift;
- word1(a) = L >= 31 ? 1 : 1 << (31 - L);
+ word1(&u) = L >= 31 ? 1 : 1 << 31 - L;
+ }
}
- }
#endif
- return value(a);
-}
+#endif
+ return dval(&u);
+ }
-static double
+ static double
b2d
#ifdef KR_headers
-(a, e) Bigint *a; int *e;
+ (a, e) Bigint *a; int *e;
#else
-(Bigint *a, int *e)
+ (Bigint *a, int *e)
#endif
{
ULong *xa, *xa0, w, y, z;
int k;
- volatile _double d;
+ U d;
#ifdef VAX
ULong d0, d1;
#else
-#define d0 word0(d)
-#define d1 word1(d)
+#define d0 word0(&d)
+#define d1 word1(&d)
#endif
xa0 = a->x;
@@ -1054,17 +1290,17 @@ b2d
w = xa > xa0 ? *--xa : 0;
d1 = y << ((32-Ebits) + k) | w >> (Ebits - k);
goto ret_d;
- }
+ }
z = xa > xa0 ? *--xa : 0;
if (k -= Ebits) {
d0 = Exp_1 | y << k | z >> (32 - k);
y = xa > xa0 ? *--xa : 0;
d1 = z << k | y >> (32 - k);
- }
+ }
else {
d0 = Exp_1 | y;
d1 = z;
- }
+ }
#else
if (k < Ebits + 16) {
z = xa > xa0 ? *--xa : 0;
@@ -1073,7 +1309,7 @@ b2d
y = xa > xa0 ? *--xa : 0;
d1 = z << k + 16 - Ebits | w << k - Ebits | y >> 16 + Ebits - k;
goto ret_d;
- }
+ }
z = xa > xa0 ? *--xa : 0;
w = xa > xa0 ? *--xa : 0;
k -= Ebits + 16;
@@ -1081,30 +1317,33 @@ b2d
y = xa > xa0 ? *--xa : 0;
d1 = w << k + 16 | y << k;
#endif
-ret_d:
+ ret_d:
#ifdef VAX
- word0(d) = d0 >> 16 | d0 << 16;
- word1(d) = d1 >> 16 | d1 << 16;
+ word0(&d) = d0 >> 16 | d0 << 16;
+ word1(&d) = d1 >> 16 | d1 << 16;
#else
#undef d0
#undef d1
#endif
- return value(d);
-}
-
+ return dval(&d);
+ }
-static Bigint * d2b(double _d, int *e, int *bits)
+ static Bigint *
+d2b
+#ifdef KR_headers
+ (d, e, bits) U *d; int *e, *bits;
+#else
+ (U *d, int *e, int *bits)
+#endif
{
Bigint *b;
- int de, i, k;
+ int de, k;
ULong *x, y, z;
- volatile _double d;
-#ifdef VAX
- ULong d0, d1;
+#ifndef Sudden_Underflow
+ int i;
#endif
-
- value(d) = _d;
#ifdef VAX
+ ULong d0, d1;
d0 = word0(d) >> 16 | word0(d) << 16;
d1 = word1(d) >> 16 | word1(d) << 16;
#else
@@ -1120,7 +1359,7 @@ static Bigint * d2b(double _d, int *e, int *bits)
x = b->x;
z = d0 & Frac_mask;
- d0 &= 0x7fffffff; /* clear sign bit, which we ignore */
+ d0 &= 0x7fffffff; /* clear sign bit, which we ignore */
#ifdef Sudden_Underflow
de = (int)(d0 >> Exp_shift);
#ifndef IBM
@@ -1133,45 +1372,50 @@ static Bigint * d2b(double _d, int *e, int *bits)
#ifdef Pack_32
if ((y = d1)) {
if ((k = lo0bits(&y))) {
- x[0] = y | (z << (32 - k));
+ x[0] = y | z << (32 - k);
z >>= k;
- } else {
+ }
+ else
x[0] = y;
- }
- i = b->wds = (x[1] = z) ? 2 : 1;
- } else {
-#ifdef DEBUG
- if (!z)
- Bug("Zero passed to d2b");
+#ifndef Sudden_Underflow
+ i =
#endif
+ b->wds = (x[1] = z) ? 2 : 1;
+ }
+ else {
k = lo0bits(&z);
x[0] = z;
- i = b->wds = 1;
+#ifndef Sudden_Underflow
+ i =
+#endif
+ b->wds = 1;
k += 32;
- }
+ }
#else
if (y = d1) {
- if (k = lo0bits(&y)) {
+ if (k = lo0bits(&y))
if (k >= 16) {
x[0] = y | z << 32 - k & 0xffff;
x[1] = z >> k - 16 & 0xffff;
x[2] = z >> k;
i = 2;
- } else {
+ }
+ else {
x[0] = y & 0xffff;
x[1] = y >> 16 | z << 16 - k & 0xffff;
x[2] = z >> k & 0xffff;
x[3] = z >> k+16;
i = 3;
}
- } else {
+ else {
x[0] = y & 0xffff;
x[1] = y >> 16;
x[2] = z & 0xffff;
x[3] = z >> 16;
i = 3;
}
- } else {
+ }
+ else {
#ifdef DEBUG
if (!z)
Bug("Zero passed to d2b");
@@ -1180,13 +1424,14 @@ static Bigint * d2b(double _d, int *e, int *bits)
if (k >= 16) {
x[0] = z;
i = 0;
- } else {
+ }
+ else {
x[0] = z & 0xffff;
x[1] = z >> 16;
i = 1;
- }
+ }
k += 32;
- }
+ }
while(!x[i])
--i;
b->wds = i + 1;
@@ -1202,28 +1447,34 @@ static Bigint * d2b(double _d, int *e, int *bits)
*bits = P - k;
#endif
#ifndef Sudden_Underflow
- } else {
+ }
+ else {
*e = de - Bias - (P-1) + 1 + k;
#ifdef Pack_32
*bits = 32*i - hi0bits(x[i-1]);
#else
*bits = (i+2)*16 - hi0bits(x[i]);
#endif
- }
+ }
#endif
return b;
-}
+ }
#undef d0
#undef d1
-
-static double ratio (Bigint *a, Bigint *b)
+ static double
+ratio
+#ifdef KR_headers
+ (a, b) Bigint *a, *b;
+#else
+ (Bigint *a, Bigint *b)
+#endif
{
- volatile _double da, db;
+ U da, db;
int k, ka, kb;
- value(da) = b2d(a, &ka);
- value(db) = b2d(b, &kb);
+ dval(&da) = b2d(a, &ka);
+ dval(&db) = b2d(b, &kb);
#ifdef Pack_32
k = ka - kb + 32*(a->wds - b->wds);
#else
@@ -1231,69 +1482,734 @@ static double ratio (Bigint *a, Bigint *b)
#endif
#ifdef IBM
if (k > 0) {
- word0(da) += (k >> 2)*Exp_msk1;
- if (k &= 3) {
- da *= 1 << k;
+ word0(&da) += (k >> 2)*Exp_msk1;
+ if (k &= 3)
+ dval(&da) *= 1 << k;
}
- } else {
+ else {
k = -k;
- word0(db) += (k >> 2)*Exp_msk1;
+ word0(&db) += (k >> 2)*Exp_msk1;
if (k &= 3)
- db *= 1 << k;
- }
+ dval(&db) *= 1 << k;
+ }
#else
- if (k > 0) {
- word0(da) += k*Exp_msk1;
- } else {
+ if (k > 0)
+ word0(&da) += k*Exp_msk1;
+ else {
k = -k;
- word0(db) += k*Exp_msk1;
- }
+ word0(&db) += k*Exp_msk1;
+ }
#endif
- return value(da) / value(db);
-}
+ return dval(&da) / dval(&db);
+ }
-static CONST double
+ static CONST double
tens[] = {
- 1e0, 1e1, 1e2, 1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9,
- 1e10, 1e11, 1e12, 1e13, 1e14, 1e15, 1e16, 1e17, 1e18, 1e19,
- 1e20, 1e21, 1e22
+ 1e0, 1e1, 1e2, 1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9,
+ 1e10, 1e11, 1e12, 1e13, 1e14, 1e15, 1e16, 1e17, 1e18, 1e19,
+ 1e20, 1e21, 1e22
#ifdef VAX
, 1e23, 1e24
#endif
-};
+ };
+ static CONST double
#ifdef IEEE_Arith
-static CONST double bigtens[] = { 1e16, 1e32, 1e64, 1e128, 1e256 };
-static CONST double tinytens[] = { 1e-16, 1e-32, 1e-64, 1e-128, 1e-256 };
+bigtens[] = { 1e16, 1e32, 1e64, 1e128, 1e256 };
+static CONST double tinytens[] = { 1e-16, 1e-32, 1e-64, 1e-128,
+#ifdef Avoid_Underflow
+ 9007199254740992.*9007199254740992.e-256
+ /* = 2^106 * 1e-256 */
+#else
+ 1e-256
+#endif
+ };
+/* The factor of 2^53 in tinytens[4] helps us avoid setting the underflow */
+/* flag unnecessarily. It leads to a song and dance at the end of strtod. */
+#define Scale_Bit 0x10
#define n_bigtens 5
#else
#ifdef IBM
-static CONST double bigtens[] = { 1e16, 1e32, 1e64 };
+bigtens[] = { 1e16, 1e32, 1e64 };
static CONST double tinytens[] = { 1e-16, 1e-32, 1e-64 };
#define n_bigtens 3
#else
-static CONST double bigtens[] = { 1e16, 1e32 };
+bigtens[] = { 1e16, 1e32 };
static CONST double tinytens[] = { 1e-16, 1e-32 };
#define n_bigtens 2
#endif
#endif
+#undef Need_Hexdig
+#ifdef INFNAN_CHECK
+#ifndef No_Hex_NaN
+#define Need_Hexdig
+#endif
+#endif
+
+#ifndef Need_Hexdig
+#ifndef NO_HEX_FP
+#define Need_Hexdig
+#endif
+#endif
+
+#ifdef Need_Hexdig /*{*/
+#if 0
+static unsigned char hexdig[256];
+
+ static void
+htinit(unsigned char *h, unsigned char *s, int inc)
+{
+ int i, j;
+ for(i = 0; (j = s[i]) !=0; i++)
+ h[j] = i + inc;
+ }
+
+ static void
+hexdig_init(void) /* Use of hexdig_init omitted 20121220 to avoid a */
+ /* race condition when multiple threads are used. */
+{
+#define USC (unsigned char *)
+ htinit(hexdig, USC "0123456789", 0x10);
+ htinit(hexdig, USC "abcdef", 0x10 + 10);
+ htinit(hexdig, USC "ABCDEF", 0x10 + 10);
+ }
+#else
+static unsigned char hexdig[256] = {
+ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
+ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
+ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
+ 16,17,18,19,20,21,22,23,24,25,0,0,0,0,0,0,
+ 0,26,27,28,29,30,31,0,0,0,0,0,0,0,0,0,
+ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
+ 0,26,27,28,29,30,31,0,0,0,0,0,0,0,0,0,
+ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
+ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
+ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
+ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
+ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
+ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
+ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
+ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
+ 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
+ };
+#endif
+#endif /* } Need_Hexdig */
+
+#ifdef INFNAN_CHECK
+
+#ifndef NAN_WORD0
+#define NAN_WORD0 0x7ff80000
+#endif
+
+#ifndef NAN_WORD1
+#define NAN_WORD1 0
+#endif
-static int quorem(Bigint *b, Bigint *S)
+ static int
+match
+#ifdef KR_headers
+ (sp, t) char **sp, *t;
+#else
+ (const char **sp, const char *t)
+#endif
{
+ int c, d;
+ CONST char *s = *sp;
+
+ while((d = *t++)) {
+ if ((c = *++s) >= 'A' && c <= 'Z')
+ c += 'a' - 'A';
+ if (c != d)
+ return 0;
+ }
+ *sp = s + 1;
+ return 1;
+ }
+
+#ifndef No_Hex_NaN
+ static void
+hexnan
+#ifdef KR_headers
+ (rvp, sp) U *rvp; CONST char **sp;
+#else
+ (U *rvp, const char **sp)
+#endif
+{
+ ULong c, x[2];
+ CONST char *s;
+ int c1, havedig, udx0, xshift;
+
+ /**** if (!hexdig['0']) hexdig_init(); ****/
+ x[0] = x[1] = 0;
+ havedig = xshift = 0;
+ udx0 = 1;
+ s = *sp;
+ /* allow optional initial 0x or 0X */
+ while((c = *(CONST unsigned char*)(s+1)) && c <= ' ')
+ ++s;
+ if (s[1] == '0' && (s[2] == 'x' || s[2] == 'X'))
+ s += 2;
+ while((c = *(CONST unsigned char*)++s)) {
+ if ((c1 = hexdig[c]))
+ c = c1 & 0xf;
+ else if (c <= ' ') {
+ if (udx0 && havedig) {
+ udx0 = 0;
+ xshift = 1;
+ }
+ continue;
+ }
+#ifdef GDTOA_NON_PEDANTIC_NANCHECK
+ else if (/*(*/ c == ')' && havedig) {
+ *sp = s + 1;
+ break;
+ }
+ else
+ return; /* invalid form: don't change *sp */
+#else
+ else {
+ do {
+ if (/*(*/ c == ')') {
+ *sp = s + 1;
+ break;
+ }
+ } while((c = *++s));
+ break;
+ }
+#endif
+ havedig = 1;
+ if (xshift) {
+ xshift = 0;
+ x[0] = x[1];
+ x[1] = 0;
+ }
+ if (udx0)
+ x[0] = (x[0] << 4) | (x[1] >> 28);
+ x[1] = (x[1] << 4) | c;
+ }
+ if ((x[0] &= 0xfffff) || x[1]) {
+ word0(rvp) = Exp_mask | x[0];
+ word1(rvp) = x[1];
+ }
+ }
+#endif /*No_Hex_NaN*/
+#endif /* INFNAN_CHECK */
+
+#ifdef Pack_32
+#define ULbits 32
+#define kshift 5
+#define kmask 31
+#else
+#define ULbits 16
+#define kshift 4
+#define kmask 15
+#endif
+
+#if !defined(NO_HEX_FP) || defined(Honor_FLT_ROUNDS) /*{*/
+ static Bigint *
+#ifdef KR_headers
+increment(b) Bigint *b;
+#else
+increment(Bigint *b)
+#endif
+{
+ ULong *x, *xe;
+ Bigint *b1;
+
+ x = b->x;
+ xe = x + b->wds;
+ do {
+ if (*x < (ULong)0xffffffffL) {
+ ++*x;
+ return b;
+ }
+ *x++ = 0;
+ } while(x < xe);
+ {
+ if (b->wds >= b->maxwds) {
+ b1 = Balloc(b->k+1);
+ Bcopy(b1,b);
+ Bfree(b);
+ b = b1;
+ }
+ b->x[b->wds++] = 1;
+ }
+ return b;
+ }
+
+#endif /*}*/
+
+#ifndef NO_HEX_FP /*{*/
+
+ static void
+#ifdef KR_headers
+rshift(b, k) Bigint *b; int k;
+#else
+rshift(Bigint *b, int k)
+#endif
+{
+ ULong *x, *x1, *xe, y;
int n;
- Long borrow, y;
- ULong carry, q, ys;
- ULong *bx, *bxe, *sx, *sxe;
+
+ x = x1 = b->x;
+ n = k >> kshift;
+ if (n < b->wds) {
+ xe = x + b->wds;
+ x += n;
+ if (k &= kmask) {
+ n = 32 - k;
+ y = *x++ >> k;
+ while(x < xe) {
+ *x1++ = (y | (*x << n)) & 0xffffffff;
+ y = *x++ >> k;
+ }
+ if ((*x1 = y) !=0)
+ x1++;
+ }
+ else
+ while(x < xe)
+ *x1++ = *x++;
+ }
+ if ((b->wds = x1 - b->x) == 0)
+ b->x[0] = 0;
+ }
+
+ static ULong
+#ifdef KR_headers
+any_on(b, k) Bigint *b; int k;
+#else
+any_on(Bigint *b, int k)
+#endif
+{
+ int n, nwds;
+ ULong *x, *x0, x1, x2;
+
+ x = b->x;
+ nwds = b->wds;
+ n = k >> kshift;
+ if (n > nwds)
+ n = nwds;
+ else if (n < nwds && (k &= kmask)) {
+ x1 = x2 = x[n];
+ x1 >>= k;
+ x1 <<= k;
+ if (x1 != x2)
+ return 1;
+ }
+ x0 = x;
+ x += n;
+ while(x > x0)
+ if (*--x)
+ return 1;
+ return 0;
+ }
+
+enum { /* rounding values: same as FLT_ROUNDS */
+ Round_zero = 0,
+ Round_near = 1,
+ Round_up = 2,
+ Round_down = 3
+ };
+
+ void
+#ifdef KR_headers
+gethex(sp, rvp, rounding, sign)
+ CONST char **sp; U *rvp; int rounding, sign;
+#else
+gethex( CONST char **sp, U *rvp, int rounding, int sign)
+#endif
+{
+ Bigint *b;
+ CONST unsigned char *decpt, *s0, *s, *s1;
+ Long e, e1;
+ ULong L, lostbits, *x;
+ int big, denorm, esign, havedig, k, n, nbits, up, zret;
+#ifdef IBM
+ int j;
+#endif
+ enum {
+#ifdef IEEE_Arith /*{{*/
+ emax = 0x7fe - Bias - P + 1,
+ emin = Emin - P + 1
+#else /*}{*/
+ emin = Emin - P,
+#ifdef VAX
+ emax = 0x7ff - Bias - P + 1
+#endif
+#ifdef IBM
+ emax = 0x7f - Bias - P
+#endif
+#endif /*}}*/
+ };
+#ifdef USE_LOCALE
+ int i;
+#ifdef NO_LOCALE_CACHE
+ const unsigned char *decimalpoint = (unsigned char*)
+ localeconv()->decimal_point;
+#else
+ const unsigned char *decimalpoint;
+ static unsigned char *decimalpoint_cache;
+ if (!(s0 = decimalpoint_cache)) {
+ s0 = (unsigned char*)localeconv()->decimal_point;
+ if ((decimalpoint_cache = (unsigned char*)
+ MALLOC(strlen((CONST char*)s0) + 1))) {
+ strcpy((char*)decimalpoint_cache, (CONST char*)s0);
+ s0 = decimalpoint_cache;
+ }
+ }
+ decimalpoint = s0;
+#endif
+#endif
+
+ /**** if (!hexdig['0']) hexdig_init(); ****/
+ havedig = 0;
+ s0 = *(CONST unsigned char **)sp + 2;
+ while(s0[havedig] == '0')
+ havedig++;
+ s0 += havedig;
+ s = s0;
+ decpt = 0;
+ zret = 0;
+ e = 0;
+ if (hexdig[*s])
+ havedig++;
+ else {
+ zret = 1;
+#ifdef USE_LOCALE
+ for(i = 0; decimalpoint[i]; ++i) {
+ if (s[i] != decimalpoint[i])
+ goto pcheck;
+ }
+ decpt = s += i;
+#else
+ if (*s != '.')
+ goto pcheck;
+ decpt = ++s;
+#endif
+ if (!hexdig[*s])
+ goto pcheck;
+ while(*s == '0')
+ s++;
+ if (hexdig[*s])
+ zret = 0;
+ havedig = 1;
+ s0 = s;
+ }
+ while(hexdig[*s])
+ s++;
+#ifdef USE_LOCALE
+ if (*s == *decimalpoint && !decpt) {
+ for(i = 1; decimalpoint[i]; ++i) {
+ if (s[i] != decimalpoint[i])
+ goto pcheck;
+ }
+ decpt = s += i;
+#else
+ if (*s == '.' && !decpt) {
+ decpt = ++s;
+#endif
+ while(hexdig[*s])
+ s++;
+ }/*}*/
+ if (decpt)
+ e = -(((Long)(s-decpt)) << 2);
+ pcheck:
+ s1 = s;
+ big = esign = 0;
+ switch(*s) {
+ case 'p':
+ case 'P':
+ switch(*++s) {
+ case '-':
+ esign = 1;
+ /* no break */
+ case '+':
+ s++;
+ }
+ if ((n = hexdig[*s]) == 0 || n > 0x19) {
+ s = s1;
+ break;
+ }
+ e1 = n - 0x10;
+ while((n = hexdig[*++s]) !=0 && n <= 0x19) {
+ if (e1 & 0xf8000000)
+ big = 1;
+ e1 = 10*e1 + n - 0x10;
+ }
+ if (esign)
+ e1 = -e1;
+ e += e1;
+ }
+ *sp = (char*)s;
+ if (!havedig)
+ *sp = (char*)s0 - 1;
+ if (zret)
+ goto retz1;
+ if (big) {
+ if (esign) {
+#ifdef IEEE_Arith
+ switch(rounding) {
+ case Round_up:
+ if (sign)
+ break;
+ goto ret_tiny;
+ case Round_down:
+ if (!sign)
+ break;
+ goto ret_tiny;
+ }
+#endif
+ goto retz;
+#ifdef IEEE_Arith
+ ret_tinyf:
+ Bfree(b);
+ ret_tiny:
+#ifndef NO_ERRNO
+ errno = ERANGE;
+#endif
+ word0(rvp) = 0;
+ word1(rvp) = 1;
+ return;
+#endif /* IEEE_Arith */
+ }
+ switch(rounding) {
+ case Round_near:
+ goto ovfl1;
+ case Round_up:
+ if (!sign)
+ goto ovfl1;
+ goto ret_big;
+ case Round_down:
+ if (sign)
+ goto ovfl1;
+ goto ret_big;
+ }
+ ret_big:
+ word0(rvp) = Big0;
+ word1(rvp) = Big1;
+ return;
+ }
+ n = s1 - s0 - 1;
+ for(k = 0; n > (1 << (kshift-2)) - 1; n >>= 1)
+ k++;
+ b = Balloc(k);
+ x = b->x;
+ n = 0;
+ L = 0;
+#ifdef USE_LOCALE
+ for(i = 0; decimalpoint[i+1]; ++i);
+#endif
+ while(s1 > s0) {
+#ifdef USE_LOCALE
+ if (*--s1 == decimalpoint[i]) {
+ s1 -= i;
+ continue;
+ }
+#else
+ if (*--s1 == '.')
+ continue;
+#endif
+ if (n == ULbits) {
+ *x++ = L;
+ L = 0;
+ n = 0;
+ }
+ L |= (hexdig[*s1] & 0x0f) << n;
+ n += 4;
+ }
+ *x++ = L;
+ b->wds = n = x - b->x;
+ n = ULbits*n - hi0bits(L);
+ nbits = Nbits;
+ lostbits = 0;
+ x = b->x;
+ if (n > nbits) {
+ n -= nbits;
+ if (any_on(b,n)) {
+ lostbits = 1;
+ k = n - 1;
+ if (x[k>>kshift] & 1 << (k & kmask)) {
+ lostbits = 2;
+ if (k > 0 && any_on(b,k))
+ lostbits = 3;
+ }
+ }
+ rshift(b, n);
+ e += n;
+ }
+ else if (n < nbits) {
+ n = nbits - n;
+ b = lshift(b, n);
+ e -= n;
+ x = b->x;
+ }
+ if (e > Emax) {
+ ovfl:
+ Bfree(b);
+ ovfl1:
+#ifndef NO_ERRNO
+ errno = ERANGE;
+#endif
+ word0(rvp) = Exp_mask;
+ word1(rvp) = 0;
+ return;
+ }
+ denorm = 0;
+ if (e < emin) {
+ denorm = 1;
+ n = emin - e;
+ if (n >= nbits) {
+#ifdef IEEE_Arith /*{*/
+ switch (rounding) {
+ case Round_near:
+ if (n == nbits && (n < 2 || any_on(b,n-1)))
+ goto ret_tinyf;
+ break;
+ case Round_up:
+ if (!sign)
+ goto ret_tinyf;
+ break;
+ case Round_down:
+ if (sign)
+ goto ret_tinyf;
+ }
+#endif /* } IEEE_Arith */
+ Bfree(b);
+ retz:
+#ifndef NO_ERRNO
+ errno = ERANGE;
+#endif
+ retz1:
+ rvp->d = 0.;
+ return;
+ }
+ k = n - 1;
+ if (lostbits)
+ lostbits = 1;
+ else if (k > 0)
+ lostbits = any_on(b,k);
+ if (x[k>>kshift] & 1 << (k & kmask))
+ lostbits |= 2;
+ nbits -= n;
+ rshift(b,n);
+ e = emin;
+ }
+ if (lostbits) {
+ up = 0;
+ switch(rounding) {
+ case Round_zero:
+ break;
+ case Round_near:
+ if (lostbits & 2
+ && (lostbits & 1) | (x[0] & 1))
+ up = 1;
+ break;
+ case Round_up:
+ up = 1 - sign;
+ break;
+ case Round_down:
+ up = sign;
+ }
+ if (up) {
+ k = b->wds;
+ b = increment(b);
+ x = b->x;
+ if (denorm) {
+#if 0
+ if (nbits == Nbits - 1
+ && x[nbits >> kshift] & 1 << (nbits & kmask))
+ denorm = 0; /* not currently used */
+#endif
+ }
+ else if (b->wds > k
+ || ((n = nbits & kmask) !=0
+ && hi0bits(x[k-1]) < 32-n)) {
+ rshift(b,1);
+ if (++e > Emax)
+ goto ovfl;
+ }
+ }
+ }
+#ifdef IEEE_Arith
+ if (denorm)
+ word0(rvp) = b->wds > 1 ? b->x[1] & ~0x100000 : 0;
+ else
+ word0(rvp) = (b->x[1] & ~0x100000) | ((e + 0x3ff + 52) << 20);
+ word1(rvp) = b->x[0];
+#endif
+#ifdef IBM
+ if ((j = e & 3)) {
+ k = b->x[0] & ((1 << j) - 1);
+ rshift(b,j);
+ if (k) {
+ switch(rounding) {
+ case Round_up:
+ if (!sign)
+ increment(b);
+ break;
+ case Round_down:
+ if (sign)
+ increment(b);
+ break;
+ case Round_near:
+ j = 1 << (j-1);
+ if (k & j && ((k & (j-1)) | lostbits))
+ increment(b);
+ }
+ }
+ }
+ e >>= 2;
+ word0(rvp) = b->x[1] | ((e + 65 + 13) << 24);
+ word1(rvp) = b->x[0];
+#endif
+#ifdef VAX
+ /* The next two lines ignore swap of low- and high-order 2 bytes. */
+ /* word0(rvp) = (b->x[1] & ~0x800000) | ((e + 129 + 55) << 23); */
+ /* word1(rvp) = b->x[0]; */
+ word0(rvp) = ((b->x[1] & ~0x800000) >> 16) | ((e + 129 + 55) << 7) | (b->x[1] << 16);
+ word1(rvp) = (b->x[0] >> 16) | (b->x[0] << 16);
+#endif
+ Bfree(b);
+ }
+#endif /*!NO_HEX_FP}*/
+
+ static int
+#ifdef KR_headers
+dshift(b, p2) Bigint *b; int p2;
+#else
+dshift(Bigint *b, int p2)
+#endif
+{
+ int rv = hi0bits(b->x[b->wds-1]) - 4;
+ if (p2 > 0)
+ rv -= p2;
+ return rv & kmask;
+ }
+
+ static int
+quorem
+#ifdef KR_headers
+ (b, S) Bigint *b, *S;
+#else
+ (Bigint *b, Bigint *S)
+#endif
+{
+ int n;
+ ULong *bx, *bxe, q, *sx, *sxe;
+#ifdef ULLong
+ ULLong borrow, carry, y, ys;
+#else
+ ULong borrow, carry, y, ys;
#ifdef Pack_32
- Long z;
- ULong si, zs;
+ ULong si, z, zs;
+#endif
#endif
n = S->wds;
#ifdef DEBUG
/*debug*/ if (b->wds > n)
- /*debug*/ Bug("oversize b in quorem");
+ /*debug*/ Bug("oversize b in quorem");
#endif
if (b->wds < n)
return 0;
@@ -1301,44 +2217,55 @@ static int quorem(Bigint *b, Bigint *S)
sxe = sx + --n;
bx = b->x;
bxe = bx + n;
- q = *bxe / (*sxe + 1); /* ensure q <= true quotient */
+ q = *bxe / (*sxe + 1); /* ensure q <= true quotient */
#ifdef DEBUG
+#ifdef NO_STRTOD_BIGCOMP
/*debug*/ if (q > 9)
- /*debug*/ Bug("oversized quotient in quorem");
+#else
+ /* An oversized q is possible when quorem is called from bigcomp and */
+ /* the input is near, e.g., twice the smallest denormalized number. */
+ /*debug*/ if (q > 15)
+#endif
+ /*debug*/ Bug("oversized quotient in quorem");
#endif
if (q) {
borrow = 0;
carry = 0;
do {
+#ifdef ULLong
+ ys = *sx++ * (ULLong)q + carry;
+ carry = ys >> 32;
+ y = *bx - (ys & FFFFFFFF) - borrow;
+ borrow = y >> 32 & (ULong)1;
+ *bx++ = y & FFFFFFFF;
+#else
#ifdef Pack_32
si = *sx++;
ys = (si & 0xffff) * q + carry;
zs = (si >> 16) * q + (ys >> 16);
carry = zs >> 16;
- y = (*bx & 0xffff) - (ys & 0xffff) + borrow;
- borrow = y >> 16;
- Sign_Extend(borrow, y);
- z = (*bx >> 16) - (zs & 0xffff) + borrow;
- borrow = z >> 16;
- Sign_Extend(borrow, z);
+ y = (*bx & 0xffff) - (ys & 0xffff) - borrow;
+ borrow = (y & 0x10000) >> 16;
+ z = (*bx >> 16) - (zs & 0xffff) - borrow;
+ borrow = (z & 0x10000) >> 16;
Storeinc(bx, z, y);
#else
ys = *sx++ * q + carry;
carry = ys >> 16;
- y = *bx - (ys & 0xffff) + borrow;
- borrow = y >> 16;
- Sign_Extend(borrow, y);
+ y = *bx - (ys & 0xffff) - borrow;
+ borrow = (y & 0x10000) >> 16;
*bx++ = y & 0xffff;
#endif
- }
- while(sx <= sxe);
+#endif
+ }
+ while(sx <= sxe);
if (!*bxe) {
bx = b->x;
while(--bxe > bx && !*bxe)
--n;
b->wds = n;
+ }
}
- }
if (cmp(b, S) >= 0) {
q++;
borrow = 0;
@@ -1346,205 +2273,1601 @@ static int quorem(Bigint *b, Bigint *S)
bx = b->x;
sx = S->x;
do {
+#ifdef ULLong
+ ys = *sx++ + carry;
+ carry = ys >> 32;
+ y = *bx - (ys & FFFFFFFF) - borrow;
+ borrow = y >> 32 & (ULong)1;
+ *bx++ = y & FFFFFFFF;
+#else
#ifdef Pack_32
si = *sx++;
ys = (si & 0xffff) + carry;
zs = (si >> 16) + (ys >> 16);
carry = zs >> 16;
- y = (*bx & 0xffff) - (ys & 0xffff) + borrow;
- borrow = y >> 16;
- Sign_Extend(borrow, y);
- z = (*bx >> 16) - (zs & 0xffff) + borrow;
- borrow = z >> 16;
- Sign_Extend(borrow, z);
+ y = (*bx & 0xffff) - (ys & 0xffff) - borrow;
+ borrow = (y & 0x10000) >> 16;
+ z = (*bx >> 16) - (zs & 0xffff) - borrow;
+ borrow = (z & 0x10000) >> 16;
Storeinc(bx, z, y);
#else
ys = *sx++ + carry;
carry = ys >> 16;
- y = *bx - (ys & 0xffff) + borrow;
- borrow = y >> 16;
- Sign_Extend(borrow, y);
+ y = *bx - (ys & 0xffff) - borrow;
+ borrow = (y & 0x10000) >> 16;
*bx++ = y & 0xffff;
#endif
- }
- while(sx <= sxe);
+#endif
+ }
+ while(sx <= sxe);
bx = b->x;
bxe = bx + n;
if (!*bxe) {
while(--bxe > bx && !*bxe)
--n;
b->wds = n;
+ }
}
- }
return q;
-}
+ }
-static void destroy_freelist(void)
+#if defined(Avoid_Underflow) || !defined(NO_STRTOD_BIGCOMP) /*{*/
+ static double
+sulp
+#ifdef KR_headers
+ (x, bc) U *x; BCinfo *bc;
+#else
+ (U *x, BCinfo *bc)
+#endif
{
+ U u;
+ double rv;
int i;
- Bigint *tmp;
- _THREAD_PRIVATE_MUTEX_LOCK(dtoa_mutex);
- for (i = 0; i <= Kmax; i++) {
- Bigint **listp = &freelist[i];
- while ((tmp = *listp) != NULL) {
- *listp = tmp->next;
- free(tmp);
+ rv = ulp(x);
+ if (!bc->scale || (i = 2*P + 1 - ((word0(x) & Exp_mask) >> Exp_shift)) <= 0)
+ return rv; /* Is there an example where i <= 0 ? */
+ word0(&u) = Exp_1 + (i << Exp_shift);
+ word1(&u) = 0;
+ return rv * u.d;
+ }
+#endif /*}*/
+
+#ifndef NO_STRTOD_BIGCOMP
+ static void
+bigcomp
+#ifdef KR_headers
+ (rv, s0, bc)
+ U *rv; CONST char *s0; BCinfo *bc;
+#else
+ (U *rv, const char *s0, BCinfo *bc)
+#endif
+{
+ Bigint *b, *d;
+ int b2, bbits, d2, dd, dig, dsign, i, j, nd, nd0, p2, p5, speccase;
+
+ dsign = bc->dsign;
+ nd = bc->nd;
+ nd0 = bc->nd0;
+ p5 = nd + bc->e0 - 1;
+ speccase = 0;
+#ifndef Sudden_Underflow
+ if (rv->d == 0.) { /* special case: value near underflow-to-zero */
+ /* threshold was rounded to zero */
+ b = i2b(1);
+ p2 = Emin - P + 1;
+ bbits = 1;
+#ifdef Avoid_Underflow
+ word0(rv) = (P+2) << Exp_shift;
+#else
+ word1(rv) = 1;
+#endif
+ i = 0;
+#ifdef Honor_FLT_ROUNDS
+ if (bc->rounding == 1)
+#endif
+ {
+ speccase = 1;
+ --p2;
+ dsign = 0;
+ goto have_i;
+ }
}
- freelist[i] = NULL;
+ else
+#endif
+ b = d2b(rv, &p2, &bbits);
+#ifdef Avoid_Underflow
+ p2 -= bc->scale;
+#endif
+ /* floor(log2(rv)) == bbits - 1 + p2 */
+ /* Check for denormal case. */
+ i = P - bbits;
+ if (i > (j = P - Emin - 1 + p2)) {
+#ifdef Sudden_Underflow
+ Bfree(b);
+ b = i2b(1);
+ p2 = Emin;
+ i = P - 1;
+#ifdef Avoid_Underflow
+ word0(rv) = (1 + bc->scale) << Exp_shift;
+#else
+ word0(rv) = Exp_msk1;
+#endif
+ word1(rv) = 0;
+#else
+ i = j;
+#endif
+ }
+#ifdef Honor_FLT_ROUNDS
+ if (bc->rounding != 1) {
+ if (i > 0)
+ b = lshift(b, i);
+ if (dsign)
+ b = increment(b);
+ }
+ else
+#endif
+ {
+ b = lshift(b, ++i);
+ b->x[0] |= 1;
+ }
+#ifndef Sudden_Underflow
+ have_i:
+#endif
+ p2 -= p5 + i;
+ d = i2b(1);
+ /* Arrange for convenient computation of quotients:
+ * shift left if necessary so divisor has 4 leading 0 bits.
+ */
+ if (p5 > 0)
+ d = pow5mult(d, p5);
+ else if (p5 < 0)
+ b = pow5mult(b, -p5);
+ if (p2 > 0) {
+ b2 = p2;
+ d2 = 0;
+ }
+ else {
+ b2 = 0;
+ d2 = -p2;
+ }
+ i = dshift(d, d2);
+ if ((b2 += i) > 0)
+ b = lshift(b, b2);
+ if ((d2 += i) > 0)
+ d = lshift(d, d2);
+
+ /* Now b/d = exactly half-way between the two floating-point values */
+ /* on either side of the input string. Compute first digit of b/d. */
+
+ if (!(dig = quorem(b,d))) {
+ b = multadd(b, 10, 0); /* very unlikely */
+ dig = quorem(b,d);
+ }
+
+ /* Compare b/d with s0 */
+
+ for(i = 0; i < nd0; ) {
+ if ((dd = s0[i++] - '0' - dig))
+ goto ret;
+ if (!b->x[0] && b->wds == 1) {
+ if (i < nd)
+ dd = 1;
+ goto ret;
+ }
+ b = multadd(b, 10, 0);
+ dig = quorem(b,d);
+ }
+ for(j = bc->dp1; i++ < nd;) {
+ if ((dd = s0[j++] - '0' - dig))
+ goto ret;
+ if (!b->x[0] && b->wds == 1) {
+ if (i < nd)
+ dd = 1;
+ goto ret;
+ }
+ b = multadd(b, 10, 0);
+ dig = quorem(b,d);
+ }
+ if (dig > 0 || b->x[0] || b->wds > 1)
+ dd = -1;
+ ret:
+ Bfree(b);
+ Bfree(d);
+#ifdef Honor_FLT_ROUNDS
+ if (bc->rounding != 1) {
+ if (dd < 0) {
+ if (bc->rounding == 0) {
+ if (!dsign)
+ goto retlow1;
+ }
+ else if (dsign)
+ goto rethi1;
+ }
+ else if (dd > 0) {
+ if (bc->rounding == 0) {
+ if (dsign)
+ goto rethi1;
+ goto ret1;
+ }
+ if (!dsign)
+ goto rethi1;
+ dval(rv) += 2.*sulp(rv,bc);
+ }
+ else {
+ bc->inexact = 0;
+ if (dsign)
+ goto rethi1;
+ }
+ }
+ else
+#endif
+ if (speccase) {
+ if (dd <= 0)
+ rv->d = 0.;
+ }
+ else if (dd < 0) {
+ if (!dsign) /* does not happen for round-near */
+retlow1:
+ dval(rv) -= sulp(rv,bc);
+ }
+ else if (dd > 0) {
+ if (dsign) {
+ rethi1:
+ dval(rv) += sulp(rv,bc);
+ }
+ }
+ else {
+ /* Exact half-way case: apply round-even rule. */
+ if ((j = ((word0(rv) & Exp_mask) >> Exp_shift) - bc->scale) <= 0) {
+ i = 1 - j;
+ if (i <= 31) {
+ if (word1(rv) & (0x1 << i))
+ goto odd;
+ }
+ else if (word0(rv) & (0x1 << (i-32)))
+ goto odd;
+ }
+ else if (word1(rv) & 1) {
+ odd:
+ if (dsign)
+ goto rethi1;
+ goto retlow1;
+ }
+ }
+
+#ifdef Honor_FLT_ROUNDS
+ ret1:
+#endif
+ return;
}
- _THREAD_PRIVATE_MUTEX_UNLOCK(dtoa_mutex);
+#endif /* NO_STRTOD_BIGCOMP */
-}
+ZEND_API double
+zend_strtod
+#ifdef KR_headers
+ (s00, se) CONST char *s00; char **se;
+#else
+ (const char *s00, const char **se)
+#endif
+{
+ int bb2, bb5, bbe, bd2, bd5, bbbits, bs2, c, e, e1;
+ int esign, i, j, k, nd, nd0, nf, nz, nz0, nz1, sign;
+ CONST char *s, *s0, *s1;
+ double aadj, aadj1;
+ Long L;
+ U aadj2, adj, rv, rv0;
+ ULong y, z;
+ BCinfo bc;
+ Bigint *bb, *bb1, *bd, *bd0, *bs, *delta;
+#ifdef Avoid_Underflow
+ ULong Lsb, Lsb1;
+#endif
+#ifdef SET_INEXACT
+ int oldinexact;
+#endif
+#ifndef NO_STRTOD_BIGCOMP
+ int req_bigcomp = 0;
+#endif
+#ifdef Honor_FLT_ROUNDS /*{*/
+#ifdef Trust_FLT_ROUNDS /*{{ only define this if FLT_ROUNDS really works! */
+ bc.rounding = Flt_Rounds;
+#else /*}{*/
+ bc.rounding = 1;
+ switch(fegetround()) {
+ case FE_TOWARDZERO: bc.rounding = 0; break;
+ case FE_UPWARD: bc.rounding = 2; break;
+ case FE_DOWNWARD: bc.rounding = 3;
+ }
+#endif /*}}*/
+#endif /*}*/
+#ifdef USE_LOCALE
+ CONST char *s2;
+#endif
+
+ sign = nz0 = nz1 = nz = bc.dplen = bc.uflchk = 0;
+ dval(&rv) = 0.;
+ for(s = s00;;s++) switch(*s) {
+ case '-':
+ sign = 1;
+ /* no break */
+ case '+':
+ if (*++s)
+ goto break2;
+ /* no break */
+ case 0:
+ goto ret0;
+ case '\t':
+ case '\n':
+ case '\v':
+ case '\f':
+ case '\r':
+ case ' ':
+ continue;
+ default:
+ goto break2;
+ }
+ break2:
+ if (*s == '0') {
+#ifndef NO_HEX_FP /*{*/
+ switch(s[1]) {
+ case 'x':
+ case 'X':
+#ifdef Honor_FLT_ROUNDS
+ gethex(&s, &rv, bc.rounding, sign);
+#else
+ gethex(&s, &rv, 1, sign);
+#endif
+ goto ret;
+ }
+#endif /*}*/
+ nz0 = 1;
+ while(*++s == '0') ;
+ if (!*s)
+ goto ret;
+ }
+ s0 = s;
+ y = z = 0;
+ for(nd = nf = 0; (c = *s) >= '0' && c <= '9'; nd++, s++)
+ if (nd < 9)
+ y = 10*y + c - '0';
+ else if (nd < DBL_DIG + 2)
+ z = 10*z + c - '0';
+ nd0 = nd;
+ bc.dp0 = bc.dp1 = s - s0;
+ for(s1 = s; s1 > s0 && *--s1 == '0'; )
+ ++nz1;
+#ifdef USE_LOCALE
+ s1 = localeconv()->decimal_point;
+ if (c == *s1) {
+ c = '.';
+ if (*++s1) {
+ s2 = s;
+ for(;;) {
+ if (*++s2 != *s1) {
+ c = 0;
+ break;
+ }
+ if (!*++s1) {
+ s = s2;
+ break;
+ }
+ }
+ }
+ }
+#endif
+ if (c == '.') {
+ c = *++s;
+ bc.dp1 = s - s0;
+ bc.dplen = bc.dp1 - bc.dp0;
+ if (!nd) {
+ for(; c == '0'; c = *++s)
+ nz++;
+ if (c > '0' && c <= '9') {
+ bc.dp0 = s0 - s;
+ bc.dp1 = bc.dp0 + bc.dplen;
+ s0 = s;
+ nf += nz;
+ nz = 0;
+ goto have_dig;
+ }
+ goto dig_done;
+ }
+ for(; c >= '0' && c <= '9'; c = *++s) {
+ have_dig:
+ nz++;
+ if (c -= '0') {
+ nf += nz;
+ for(i = 1; i < nz; i++)
+ if (nd++ < 9)
+ y *= 10;
+ else if (nd <= DBL_DIG + 2)
+ z *= 10;
+ if (nd++ < 9)
+ y = 10*y + c;
+ else if (nd <= DBL_DIG + 2)
+ z = 10*z + c;
+ nz = nz1 = 0;
+ }
+ }
+ }
+ dig_done:
+ e = 0;
+ if (c == 'e' || c == 'E') {
+ if (!nd && !nz && !nz0) {
+ goto ret0;
+ }
+ s00 = s;
+ esign = 0;
+ switch(c = *++s) {
+ case '-':
+ esign = 1;
+ case '+':
+ c = *++s;
+ }
+ if (c >= '0' && c <= '9') {
+ while(c == '0')
+ c = *++s;
+ if (c > '0' && c <= '9') {
+ L = c - '0';
+ s1 = s;
+ while((c = *++s) >= '0' && c <= '9')
+ L = 10*L + c - '0';
+ if (s - s1 > 8 || L > 19999)
+ /* Avoid confusion from exponents
+ * so large that e might overflow.
+ */
+ e = 19999; /* safe for 16 bit ints */
+ else
+ e = (int)L;
+ if (esign)
+ e = -e;
+ }
+ else
+ e = 0;
+ }
+ else
+ s = s00;
+ }
+ if (!nd) {
+ if (!nz && !nz0) {
+#ifdef INFNAN_CHECK
+ /* Check for Nan and Infinity */
+ if (!bc.dplen)
+ switch(c) {
+ case 'i':
+ case 'I':
+ if (match(&s,"nf")) {
+ --s;
+ if (!match(&s,"inity"))
+ ++s;
+ word0(&rv) = 0x7ff00000;
+ word1(&rv) = 0;
+ goto ret;
+ }
+ break;
+ case 'n':
+ case 'N':
+ if (match(&s, "an")) {
+ word0(&rv) = NAN_WORD0;
+ word1(&rv) = NAN_WORD1;
+#ifndef No_Hex_NaN
+ if (*s == '(') /*)*/
+ hexnan(&rv, &s);
+#endif
+ goto ret;
+ }
+ }
+#endif /* INFNAN_CHECK */
+ ret0:
+ s = s00;
+ sign = 0;
+ }
+ goto ret;
+ }
+ bc.e0 = e1 = e -= nf;
+
+ /* Now we have nd0 digits, starting at s0, followed by a
+ * decimal point, followed by nd-nd0 digits. The number we're
+ * after is the integer represented by those digits times
+ * 10**e */
+
+ if (!nd0)
+ nd0 = nd;
+ k = nd < DBL_DIG + 2 ? nd : DBL_DIG + 2;
+ dval(&rv) = y;
+ if (k > 9) {
+#ifdef SET_INEXACT
+ if (k > DBL_DIG)
+ oldinexact = get_inexact();
+#endif
+ dval(&rv) = tens[k - 9] * dval(&rv) + z;
+ }
+ bd0 = 0;
+ if (nd <= DBL_DIG
+#ifndef RND_PRODQUOT
+#ifndef Honor_FLT_ROUNDS
+ && Flt_Rounds == 1
+#endif
+#endif
+ ) {
+ if (!e)
+ goto ret;
+#ifndef ROUND_BIASED_without_Round_Up
+ if (e > 0) {
+ if (e <= Ten_pmax) {
+#ifdef VAX
+ goto vax_ovfl_check;
+#else
+#ifdef Honor_FLT_ROUNDS
+ /* round correctly FLT_ROUNDS = 2 or 3 */
+ if (sign) {
+ rv.d = -rv.d;
+ sign = 0;
+ }
+#endif
+ /* rv = */ rounded_product(dval(&rv), tens[e]);
+ goto ret;
+#endif
+ }
+ i = DBL_DIG - nd;
+ if (e <= Ten_pmax + i) {
+ /* A fancier test would sometimes let us do
+ * this for larger i values.
+ */
+#ifdef Honor_FLT_ROUNDS
+ /* round correctly FLT_ROUNDS = 2 or 3 */
+ if (sign) {
+ rv.d = -rv.d;
+ sign = 0;
+ }
+#endif
+ e -= i;
+ dval(&rv) *= tens[i];
+#ifdef VAX
+ /* VAX exponent range is so narrow we must
+ * worry about overflow here...
+ */
+ vax_ovfl_check:
+ word0(&rv) -= P*Exp_msk1;
+ /* rv = */ rounded_product(dval(&rv), tens[e]);
+ if ((word0(&rv) & Exp_mask)
+ > Exp_msk1*(DBL_MAX_EXP+Bias-1-P))
+ goto ovfl;
+ word0(&rv) += P*Exp_msk1;
+#else
+ /* rv = */ rounded_product(dval(&rv), tens[e]);
+#endif
+ goto ret;
+ }
+ }
+#ifndef Inaccurate_Divide
+ else if (e >= -Ten_pmax) {
+#ifdef Honor_FLT_ROUNDS
+ /* round correctly FLT_ROUNDS = 2 or 3 */
+ if (sign) {
+ rv.d = -rv.d;
+ sign = 0;
+ }
+#endif
+ /* rv = */ rounded_quotient(dval(&rv), tens[-e]);
+ goto ret;
+ }
+#endif
+#endif /* ROUND_BIASED_without_Round_Up */
+ }
+ e1 += nd - k;
+
+#ifdef IEEE_Arith
+#ifdef SET_INEXACT
+ bc.inexact = 1;
+ if (k <= DBL_DIG)
+ oldinexact = get_inexact();
+#endif
+#ifdef Avoid_Underflow
+ bc.scale = 0;
+#endif
+#ifdef Honor_FLT_ROUNDS
+ if (bc.rounding >= 2) {
+ if (sign)
+ bc.rounding = bc.rounding == 2 ? 0 : 2;
+ else
+ if (bc.rounding != 2)
+ bc.rounding = 0;
+ }
+#endif
+#endif /*IEEE_Arith*/
+ /* Get starting approximation = rv * 10**e1 */
-ZEND_API void zend_freedtoa(char *s)
+ if (e1 > 0) {
+ if ((i = e1 & 15))
+ dval(&rv) *= tens[i];
+ if (e1 &= ~15) {
+ if (e1 > DBL_MAX_10_EXP) {
+ ovfl:
+ /* Can't trust HUGE_VAL */
+#ifdef IEEE_Arith
+#ifdef Honor_FLT_ROUNDS
+ switch(bc.rounding) {
+ case 0: /* toward 0 */
+ case 3: /* toward -infinity */
+ word0(&rv) = Big0;
+ word1(&rv) = Big1;
+ break;
+ default:
+ word0(&rv) = Exp_mask;
+ word1(&rv) = 0;
+ }
+#else /*Honor_FLT_ROUNDS*/
+ word0(&rv) = Exp_mask;
+ word1(&rv) = 0;
+#endif /*Honor_FLT_ROUNDS*/
+#ifdef SET_INEXACT
+ /* set overflow bit */
+ dval(&rv0) = 1e300;
+ dval(&rv0) *= dval(&rv0);
+#endif
+#else /*IEEE_Arith*/
+ word0(&rv) = Big0;
+ word1(&rv) = Big1;
+#endif /*IEEE_Arith*/
+ range_err:
+ if (bd0) {
+ Bfree(bb);
+ Bfree(bd);
+ Bfree(bs);
+ Bfree(bd0);
+ Bfree(delta);
+ }
+#ifndef NO_ERRNO
+ errno = ERANGE;
+#endif
+ goto ret;
+ }
+ e1 >>= 4;
+ for(j = 0; e1 > 1; j++, e1 >>= 1)
+ if (e1 & 1)
+ dval(&rv) *= bigtens[j];
+ /* The last multiplication could overflow. */
+ word0(&rv) -= P*Exp_msk1;
+ dval(&rv) *= bigtens[j];
+ if ((z = word0(&rv) & Exp_mask)
+ > Exp_msk1*(DBL_MAX_EXP+Bias-P))
+ goto ovfl;
+ if (z > Exp_msk1*(DBL_MAX_EXP+Bias-1-P)) {
+ /* set to largest number */
+ /* (Can't trust DBL_MAX) */
+ word0(&rv) = Big0;
+ word1(&rv) = Big1;
+ }
+ else
+ word0(&rv) += P*Exp_msk1;
+ }
+ }
+ else if (e1 < 0) {
+ e1 = -e1;
+ if ((i = e1 & 15))
+ dval(&rv) /= tens[i];
+ if (e1 >>= 4) {
+ if (e1 >= 1 << n_bigtens)
+ goto undfl;
+#ifdef Avoid_Underflow
+ if (e1 & Scale_Bit)
+ bc.scale = 2*P;
+ for(j = 0; e1 > 0; j++, e1 >>= 1)
+ if (e1 & 1)
+ dval(&rv) *= tinytens[j];
+ if (bc.scale && (j = 2*P + 1 - ((word0(&rv) & Exp_mask)
+ >> Exp_shift)) > 0) {
+ /* scaled rv is denormal; clear j low bits */
+ if (j >= 32) {
+ if (j > 54)
+ goto undfl;
+ word1(&rv) = 0;
+ if (j >= 53)
+ word0(&rv) = (P+2)*Exp_msk1;
+ else
+ word0(&rv) &= 0xffffffff << (j-32);
+ }
+ else
+ word1(&rv) &= 0xffffffff << j;
+ }
+#else
+ for(j = 0; e1 > 1; j++, e1 >>= 1)
+ if (e1 & 1)
+ dval(&rv) *= tinytens[j];
+ /* The last multiplication could underflow. */
+ dval(&rv0) = dval(&rv);
+ dval(&rv) *= tinytens[j];
+ if (!dval(&rv)) {
+ dval(&rv) = 2.*dval(&rv0);
+ dval(&rv) *= tinytens[j];
+#endif
+ if (!dval(&rv)) {
+ undfl:
+ dval(&rv) = 0.;
+ goto range_err;
+ }
+#ifndef Avoid_Underflow
+ word0(&rv) = Tiny0;
+ word1(&rv) = Tiny1;
+ /* The refinement below will clean
+ * this approximation up.
+ */
+ }
+#endif
+ }
+ }
+
+ /* Now the hard part -- adjusting rv to the correct value.*/
+
+ /* Put digits into bd: true value = bd * 10^e */
+
+ bc.nd = nd - nz1;
+#ifndef NO_STRTOD_BIGCOMP
+ bc.nd0 = nd0; /* Only needed if nd > strtod_diglim, but done here */
+ /* to silence an erroneous warning about bc.nd0 */
+ /* possibly not being initialized. */
+ if (nd > strtod_diglim) {
+ /* ASSERT(strtod_diglim >= 18); 18 == one more than the */
+ /* minimum number of decimal digits to distinguish double values */
+ /* in IEEE arithmetic. */
+ i = j = 18;
+ if (i > nd0)
+ j += bc.dplen;
+ for(;;) {
+ if (--j < bc.dp1 && j >= bc.dp0)
+ j = bc.dp0 - 1;
+ if (s0[j] != '0')
+ break;
+ --i;
+ }
+ e += nd - i;
+ nd = i;
+ if (nd0 > nd)
+ nd0 = nd;
+ if (nd < 9) { /* must recompute y */
+ y = 0;
+ for(i = 0; i < nd0; ++i)
+ y = 10*y + s0[i] - '0';
+ for(j = bc.dp1; i < nd; ++i)
+ y = 10*y + s0[j++] - '0';
+ }
+ }
+#endif
+ bd0 = s2b(s0, nd0, nd, y, bc.dplen);
+
+ for(;;) {
+ bd = Balloc(bd0->k);
+ Bcopy(bd, bd0);
+ bb = d2b(&rv, &bbe, &bbbits); /* rv = bb * 2^bbe */
+ bs = i2b(1);
+
+ if (e >= 0) {
+ bb2 = bb5 = 0;
+ bd2 = bd5 = e;
+ }
+ else {
+ bb2 = bb5 = -e;
+ bd2 = bd5 = 0;
+ }
+ if (bbe >= 0)
+ bb2 += bbe;
+ else
+ bd2 -= bbe;
+ bs2 = bb2;
+#ifdef Honor_FLT_ROUNDS
+ if (bc.rounding != 1)
+ bs2++;
+#endif
+#ifdef Avoid_Underflow
+ Lsb = LSB;
+ Lsb1 = 0;
+ j = bbe - bc.scale;
+ i = j + bbbits - 1; /* logb(rv) */
+ j = P + 1 - bbbits;
+ if (i < Emin) { /* denormal */
+ i = Emin - i;
+ j -= i;
+ if (i < 32)
+ Lsb <<= i;
+ else if (i < 52)
+ Lsb1 = Lsb << (i-32);
+ else
+ Lsb1 = Exp_mask;
+ }
+#else /*Avoid_Underflow*/
+#ifdef Sudden_Underflow
+#ifdef IBM
+ j = 1 + 4*P - 3 - bbbits + ((bbe + bbbits - 1) & 3);
+#else
+ j = P + 1 - bbbits;
+#endif
+#else /*Sudden_Underflow*/
+ j = bbe;
+ i = j + bbbits - 1; /* logb(rv) */
+ if (i < Emin) /* denormal */
+ j += P - Emin;
+ else
+ j = P + 1 - bbbits;
+#endif /*Sudden_Underflow*/
+#endif /*Avoid_Underflow*/
+ bb2 += j;
+ bd2 += j;
+#ifdef Avoid_Underflow
+ bd2 += bc.scale;
+#endif
+ i = bb2 < bd2 ? bb2 : bd2;
+ if (i > bs2)
+ i = bs2;
+ if (i > 0) {
+ bb2 -= i;
+ bd2 -= i;
+ bs2 -= i;
+ }
+ if (bb5 > 0) {
+ bs = pow5mult(bs, bb5);
+ bb1 = mult(bs, bb);
+ Bfree(bb);
+ bb = bb1;
+ }
+ if (bb2 > 0)
+ bb = lshift(bb, bb2);
+ if (bd5 > 0)
+ bd = pow5mult(bd, bd5);
+ if (bd2 > 0)
+ bd = lshift(bd, bd2);
+ if (bs2 > 0)
+ bs = lshift(bs, bs2);
+ delta = diff(bb, bd);
+ bc.dsign = delta->sign;
+ delta->sign = 0;
+ i = cmp(delta, bs);
+#ifndef NO_STRTOD_BIGCOMP /*{*/
+ if (bc.nd > nd && i <= 0) {
+ if (bc.dsign) {
+ /* Must use bigcomp(). */
+ req_bigcomp = 1;
+ break;
+ }
+#ifdef Honor_FLT_ROUNDS
+ if (bc.rounding != 1) {
+ if (i < 0) {
+ req_bigcomp = 1;
+ break;
+ }
+ }
+ else
+#endif
+ i = -1; /* Discarded digits make delta smaller. */
+ }
+#endif /*}*/
+#ifdef Honor_FLT_ROUNDS /*{*/
+ if (bc.rounding != 1) {
+ if (i < 0) {
+ /* Error is less than an ulp */
+ if (!delta->x[0] && delta->wds <= 1) {
+ /* exact */
+#ifdef SET_INEXACT
+ bc.inexact = 0;
+#endif
+ break;
+ }
+ if (bc.rounding) {
+ if (bc.dsign) {
+ adj.d = 1.;
+ goto apply_adj;
+ }
+ }
+ else if (!bc.dsign) {
+ adj.d = -1.;
+ if (!word1(&rv)
+ && !(word0(&rv) & Frac_mask)) {
+ y = word0(&rv) & Exp_mask;
+#ifdef Avoid_Underflow
+ if (!bc.scale || y > 2*P*Exp_msk1)
+#else
+ if (y)
+#endif
+ {
+ delta = lshift(delta,Log2P);
+ if (cmp(delta, bs) <= 0)
+ adj.d = -0.5;
+ }
+ }
+ apply_adj:
+#ifdef Avoid_Underflow /*{*/
+ if (bc.scale && (y = word0(&rv) & Exp_mask)
+ <= 2*P*Exp_msk1)
+ word0(&adj) += (2*P+1)*Exp_msk1 - y;
+#else
+#ifdef Sudden_Underflow
+ if ((word0(&rv) & Exp_mask) <=
+ P*Exp_msk1) {
+ word0(&rv) += P*Exp_msk1;
+ dval(&rv) += adj.d*ulp(dval(&rv));
+ word0(&rv) -= P*Exp_msk1;
+ }
+ else
+#endif /*Sudden_Underflow*/
+#endif /*Avoid_Underflow}*/
+ dval(&rv) += adj.d*ulp(&rv);
+ }
+ break;
+ }
+ adj.d = ratio(delta, bs);
+ if (adj.d < 1.)
+ adj.d = 1.;
+ if (adj.d <= 0x7ffffffe) {
+ /* adj = rounding ? ceil(adj) : floor(adj); */
+ y = adj.d;
+ if (y != adj.d) {
+ if (!((bc.rounding>>1) ^ bc.dsign))
+ y++;
+ adj.d = y;
+ }
+ }
+#ifdef Avoid_Underflow /*{*/
+ if (bc.scale && (y = word0(&rv) & Exp_mask) <= 2*P*Exp_msk1)
+ word0(&adj) += (2*P+1)*Exp_msk1 - y;
+#else
+#ifdef Sudden_Underflow
+ if ((word0(&rv) & Exp_mask) <= P*Exp_msk1) {
+ word0(&rv) += P*Exp_msk1;
+ adj.d *= ulp(dval(&rv));
+ if (bc.dsign)
+ dval(&rv) += adj.d;
+ else
+ dval(&rv) -= adj.d;
+ word0(&rv) -= P*Exp_msk1;
+ goto cont;
+ }
+#endif /*Sudden_Underflow*/
+#endif /*Avoid_Underflow}*/
+ adj.d *= ulp(&rv);
+ if (bc.dsign) {
+ if (word0(&rv) == Big0 && word1(&rv) == Big1)
+ goto ovfl;
+ dval(&rv) += adj.d;
+ }
+ else
+ dval(&rv) -= adj.d;
+ goto cont;
+ }
+#endif /*}Honor_FLT_ROUNDS*/
+
+ if (i < 0) {
+ /* Error is less than half an ulp -- check for
+ * special case of mantissa a power of two.
+ */
+ if (bc.dsign || word1(&rv) || word0(&rv) & Bndry_mask
+#ifdef IEEE_Arith /*{*/
+#ifdef Avoid_Underflow
+ || (word0(&rv) & Exp_mask) <= (2*P+1)*Exp_msk1
+#else
+ || (word0(&rv) & Exp_mask) <= Exp_msk1
+#endif
+#endif /*}*/
+ ) {
+#ifdef SET_INEXACT
+ if (!delta->x[0] && delta->wds <= 1)
+ bc.inexact = 0;
+#endif
+ break;
+ }
+ if (!delta->x[0] && delta->wds <= 1) {
+ /* exact result */
+#ifdef SET_INEXACT
+ bc.inexact = 0;
+#endif
+ break;
+ }
+ delta = lshift(delta,Log2P);
+ if (cmp(delta, bs) > 0)
+ goto drop_down;
+ break;
+ }
+ if (i == 0) {
+ /* exactly half-way between */
+ if (bc.dsign) {
+ if ((word0(&rv) & Bndry_mask1) == Bndry_mask1
+ && word1(&rv) == (
+#ifdef Avoid_Underflow
+ (bc.scale && (y = word0(&rv) & Exp_mask) <= 2*P*Exp_msk1)
+ ? (0xffffffff & (0xffffffff << (2*P+1-(y>>Exp_shift)))) :
+#endif
+ 0xffffffff)) {
+ /*boundary case -- increment exponent*/
+ if (word0(&rv) == Big0 && word1(&rv) == Big1)
+ goto ovfl;
+ word0(&rv) = (word0(&rv) & Exp_mask)
+ + Exp_msk1
+#ifdef IBM
+ | Exp_msk1 >> 4
+#endif
+ ;
+ word1(&rv) = 0;
+#ifdef Avoid_Underflow
+ bc.dsign = 0;
+#endif
+ break;
+ }
+ }
+ else if (!(word0(&rv) & Bndry_mask) && !word1(&rv)) {
+ drop_down:
+ /* boundary case -- decrement exponent */
+#ifdef Sudden_Underflow /*{{*/
+ L = word0(&rv) & Exp_mask;
+#ifdef IBM
+ if (L < Exp_msk1)
+#else
+#ifdef Avoid_Underflow
+ if (L <= (bc.scale ? (2*P+1)*Exp_msk1 : Exp_msk1))
+#else
+ if (L <= Exp_msk1)
+#endif /*Avoid_Underflow*/
+#endif /*IBM*/
+ {
+ if (bc.nd >nd) {
+ bc.uflchk = 1;
+ break;
+ }
+ goto undfl;
+ }
+ L -= Exp_msk1;
+#else /*Sudden_Underflow}{*/
+#ifdef Avoid_Underflow
+ if (bc.scale) {
+ L = word0(&rv) & Exp_mask;
+ if (L <= (2*P+1)*Exp_msk1) {
+ if (L > (P+2)*Exp_msk1)
+ /* round even ==> */
+ /* accept rv */
+ break;
+ /* rv = smallest denormal */
+ if (bc.nd >nd) {
+ bc.uflchk = 1;
+ break;
+ }
+ goto undfl;
+ }
+ }
+#endif /*Avoid_Underflow*/
+ L = (word0(&rv) & Exp_mask) - Exp_msk1;
+#endif /*Sudden_Underflow}}*/
+ word0(&rv) = L | Bndry_mask1;
+ word1(&rv) = 0xffffffff;
+#ifdef IBM
+ goto cont;
+#else
+#ifndef NO_STRTOD_BIGCOMP
+ if (bc.nd > nd)
+ goto cont;
+#endif
+ break;
+#endif
+ }
+#ifndef ROUND_BIASED
+#ifdef Avoid_Underflow
+ if (Lsb1) {
+ if (!(word0(&rv) & Lsb1))
+ break;
+ }
+ else if (!(word1(&rv) & Lsb))
+ break;
+#else
+ if (!(word1(&rv) & LSB))
+ break;
+#endif
+#endif
+ if (bc.dsign)
+#ifdef Avoid_Underflow
+ dval(&rv) += sulp(&rv, &bc);
+#else
+ dval(&rv) += ulp(&rv);
+#endif
+#ifndef ROUND_BIASED
+ else {
+#ifdef Avoid_Underflow
+ dval(&rv) -= sulp(&rv, &bc);
+#else
+ dval(&rv) -= ulp(&rv);
+#endif
+#ifndef Sudden_Underflow
+ if (!dval(&rv)) {
+ if (bc.nd >nd) {
+ bc.uflchk = 1;
+ break;
+ }
+ goto undfl;
+ }
+#endif
+ }
+#ifdef Avoid_Underflow
+ bc.dsign = 1 - bc.dsign;
+#endif
+#endif
+ break;
+ }
+ if ((aadj = ratio(delta, bs)) <= 2.) {
+ if (bc.dsign)
+ aadj = aadj1 = 1.;
+ else if (word1(&rv) || word0(&rv) & Bndry_mask) {
+#ifndef Sudden_Underflow
+ if (word1(&rv) == Tiny1 && !word0(&rv)) {
+ if (bc.nd >nd) {
+ bc.uflchk = 1;
+ break;
+ }
+ goto undfl;
+ }
+#endif
+ aadj = 1.;
+ aadj1 = -1.;
+ }
+ else {
+ /* special case -- power of FLT_RADIX to be */
+ /* rounded down... */
+
+ if (aadj < 2./FLT_RADIX)
+ aadj = 1./FLT_RADIX;
+ else
+ aadj *= 0.5;
+ aadj1 = -aadj;
+ }
+ }
+ else {
+ aadj *= 0.5;
+ aadj1 = bc.dsign ? aadj : -aadj;
+#ifdef Check_FLT_ROUNDS
+ switch(bc.rounding) {
+ case 2: /* towards +infinity */
+ aadj1 -= 0.5;
+ break;
+ case 0: /* towards 0 */
+ case 3: /* towards -infinity */
+ aadj1 += 0.5;
+ }
+#else
+ if (Flt_Rounds == 0)
+ aadj1 += 0.5;
+#endif /*Check_FLT_ROUNDS*/
+ }
+ y = word0(&rv) & Exp_mask;
+
+ /* Check for overflow */
+
+ if (y == Exp_msk1*(DBL_MAX_EXP+Bias-1)) {
+ dval(&rv0) = dval(&rv);
+ word0(&rv) -= P*Exp_msk1;
+ adj.d = aadj1 * ulp(&rv);
+ dval(&rv) += adj.d;
+ if ((word0(&rv) & Exp_mask) >=
+ Exp_msk1*(DBL_MAX_EXP+Bias-P)) {
+ if (word0(&rv0) == Big0 && word1(&rv0) == Big1)
+ goto ovfl;
+ word0(&rv) = Big0;
+ word1(&rv) = Big1;
+ goto cont;
+ }
+ else
+ word0(&rv) += P*Exp_msk1;
+ }
+ else {
+#ifdef Avoid_Underflow
+ if (bc.scale && y <= 2*P*Exp_msk1) {
+ if (aadj <= 0x7fffffff) {
+ if ((z = aadj) <= 0)
+ z = 1;
+ aadj = z;
+ aadj1 = bc.dsign ? aadj : -aadj;
+ }
+ dval(&aadj2) = aadj1;
+ word0(&aadj2) += (2*P+1)*Exp_msk1 - y;
+ aadj1 = dval(&aadj2);
+ adj.d = aadj1 * ulp(&rv);
+ dval(&rv) += adj.d;
+ if (rv.d == 0.)
+#ifdef NO_STRTOD_BIGCOMP
+ goto undfl;
+#else
+ {
+ req_bigcomp = 1;
+ break;
+ }
+#endif
+ }
+ else {
+ adj.d = aadj1 * ulp(&rv);
+ dval(&rv) += adj.d;
+ }
+#else
+#ifdef Sudden_Underflow
+ if ((word0(&rv) & Exp_mask) <= P*Exp_msk1) {
+ dval(&rv0) = dval(&rv);
+ word0(&rv) += P*Exp_msk1;
+ adj.d = aadj1 * ulp(&rv);
+ dval(&rv) += adj.d;
+#ifdef IBM
+ if ((word0(&rv) & Exp_mask) < P*Exp_msk1)
+#else
+ if ((word0(&rv) & Exp_mask) <= P*Exp_msk1)
+#endif
+ {
+ if (word0(&rv0) == Tiny0
+ && word1(&rv0) == Tiny1) {
+ if (bc.nd >nd) {
+ bc.uflchk = 1;
+ break;
+ }
+ goto undfl;
+ }
+ word0(&rv) = Tiny0;
+ word1(&rv) = Tiny1;
+ goto cont;
+ }
+ else
+ word0(&rv) -= P*Exp_msk1;
+ }
+ else {
+ adj.d = aadj1 * ulp(&rv);
+ dval(&rv) += adj.d;
+ }
+#else /*Sudden_Underflow*/
+ /* Compute adj so that the IEEE rounding rules will
+ * correctly round rv + adj in some half-way cases.
+ * If rv * ulp(rv) is denormalized (i.e.,
+ * y <= (P-1)*Exp_msk1), we must adjust aadj to avoid
+ * trouble from bits lost to denormalization;
+ * example: 1.2e-307 .
+ */
+ if (y <= (P-1)*Exp_msk1 && aadj > 1.) {
+ aadj1 = (double)(int)(aadj + 0.5);
+ if (!bc.dsign)
+ aadj1 = -aadj1;
+ }
+ adj.d = aadj1 * ulp(&rv);
+ dval(&rv) += adj.d;
+#endif /*Sudden_Underflow*/
+#endif /*Avoid_Underflow*/
+ }
+ z = word0(&rv) & Exp_mask;
+#ifndef SET_INEXACT
+ if (bc.nd == nd) {
+#ifdef Avoid_Underflow
+ if (!bc.scale)
+#endif
+ if (y == z) {
+ /* Can we stop now? */
+ L = (Long)aadj;
+ aadj -= L;
+ /* The tolerances below are conservative. */
+ if (bc.dsign || word1(&rv) || word0(&rv) & Bndry_mask) {
+ if (aadj < .4999999 || aadj > .5000001)
+ break;
+ }
+ else if (aadj < .4999999/FLT_RADIX)
+ break;
+ }
+ }
+#endif
+ cont:
+ Bfree(bb);
+ Bfree(bd);
+ Bfree(bs);
+ Bfree(delta);
+ }
+ Bfree(bb);
+ Bfree(bd);
+ Bfree(bs);
+ Bfree(bd0);
+ Bfree(delta);
+#ifndef NO_STRTOD_BIGCOMP
+ if (req_bigcomp) {
+ bd0 = 0;
+ bc.e0 += nz1;
+ bigcomp(&rv, s0, &bc);
+ y = word0(&rv) & Exp_mask;
+ if (y == Exp_mask)
+ goto ovfl;
+ if (y == 0 && rv.d == 0.)
+ goto undfl;
+ }
+#endif
+#ifdef SET_INEXACT
+ if (bc.inexact) {
+ if (!oldinexact) {
+ word0(&rv0) = Exp_1 + (70 << Exp_shift);
+ word1(&rv0) = 0;
+ dval(&rv0) += 1.;
+ }
+ }
+ else if (!oldinexact)
+ clear_inexact();
+#endif
+#ifdef Avoid_Underflow
+ if (bc.scale) {
+ word0(&rv0) = Exp_1 - 2*P*Exp_msk1;
+ word1(&rv0) = 0;
+ dval(&rv) *= dval(&rv0);
+#ifndef NO_ERRNO
+ /* try to avoid the bug of testing an 8087 register value */
+#ifdef IEEE_Arith
+ if (!(word0(&rv) & Exp_mask))
+#else
+ if (word0(&rv) == 0 && word1(&rv) == 0)
+#endif
+ errno = ERANGE;
+#endif
+ }
+#endif /* Avoid_Underflow */
+#ifdef SET_INEXACT
+ if (bc.inexact && !(word0(&rv) & Exp_mask)) {
+ /* set underflow bit */
+ dval(&rv0) = 1e-300;
+ dval(&rv0) *= dval(&rv0);
+ }
+#endif
+ ret:
+ if (se)
+ *se = (char *)s;
+ return sign ? -dval(&rv) : dval(&rv);
+ }
+
+#ifndef MULTIPLE_THREADS
+ static char *dtoa_result;
+#endif
+
+ static char *
+#ifdef KR_headers
+rv_alloc(i) int i;
+#else
+rv_alloc(int i)
+#endif
+{
+ int j, k, *r;
+
+ j = sizeof(ULong);
+ for(k = 0;
+ sizeof(Bigint) - sizeof(ULong) - sizeof(int) + j <= i;
+ j <<= 1)
+ k++;
+ r = (int*)Balloc(k);
+ *r = k;
+ return
+#ifndef MULTIPLE_THREADS
+ dtoa_result =
+#endif
+ (char *)(r+1);
+ }
+
+ static char *
+#ifdef KR_headers
+nrv_alloc(s, rve, n) char *s, **rve; int n;
+#else
+nrv_alloc(const char *s, char **rve, int n)
+#endif
+{
+ char *rv, *t;
+
+ t = rv = rv_alloc(n);
+ while((*t = *s++)) t++;
+ if (rve)
+ *rve = t;
+ return rv;
+ }
+
+/* freedtoa(s) must be used to free values s returned by dtoa
+ * when MULTIPLE_THREADS is #defined. It should be used in all cases,
+ * but for consistency with earlier versions of dtoa, it is optional
+ * when MULTIPLE_THREADS is not defined.
+ */
+
+ZEND_API void
+#ifdef KR_headers
+zend_freedtoa(s) char *s;
+#else
+zend_freedtoa(char *s)
+#endif
{
Bigint *b = (Bigint *)((int *)s - 1);
b->maxwds = 1 << (b->k = *(int*)b);
Bfree(b);
+#ifndef MULTIPLE_THREADS
+ if (s == dtoa_result)
+ dtoa_result = 0;
+#endif
}
/* dtoa for IEEE arithmetic (dmg): convert double to ASCII string.
*
* Inspired by "How to Print Floating-Point Numbers Accurately" by
- * Guy L. Steele, Jr. and Jon L. White [Proc. ACM SIGPLAN '90, pp. 92-101].
+ * Guy L. Steele, Jr. and Jon L. White [Proc. ACM SIGPLAN '90, pp. 112-126].
*
* Modifications:
- * 1. Rather than iterating, we use a simple numeric overestimate
- * to determine k = floor(log10(d)). We scale relevant
- * quantities using O(log2(k)) rather than O(k) multiplications.
- * 2. For some modes > 2 (corresponding to ecvt and fcvt), we don't
- * try to generate digits strictly left to right. Instead, we
- * compute with fewer bits and propagate the carry if necessary
- * when rounding the final digit up. This is often faster.
- * 3. Under the assumption that input will be rounded nearest,
- * mode 0 renders 1e23 as 1e23 rather than 9.999999999999999e22.
- * That is, we allow equality in stopping tests when the
- * round-nearest rule will give the same floating-point value
- * as would satisfaction of the stopping test with strict
- * inequality.
- * 4. We remove common factors of powers of 2 from relevant
- * quantities.
- * 5. When converting floating-point integers less than 1e16,
- * we use floating-point arithmetic rather than resorting
- * to multiple-precision integers.
- * 6. When asked to produce fewer than 15 digits, we first try
- * to get by with floating-point arithmetic; we resort to
- * multiple-precision integer arithmetic only if we cannot
- * guarantee that the floating-point calculation has given
- * the correctly rounded result. For k requested digits and
- * "uniformly" distributed input, the probability is
- * something like 10^(k-15) that we must resort to the Long
- * calculation.
+ * 1. Rather than iterating, we use a simple numeric overestimate
+ * to determine k = floor(log10(d)). We scale relevant
+ * quantities using O(log2(k)) rather than O(k) multiplications.
+ * 2. For some modes > 2 (corresponding to ecvt and fcvt), we don't
+ * try to generate digits strictly left to right. Instead, we
+ * compute with fewer bits and propagate the carry if necessary
+ * when rounding the final digit up. This is often faster.
+ * 3. Under the assumption that input will be rounded nearest,
+ * mode 0 renders 1e23 as 1e23 rather than 9.999999999999999e22.
+ * That is, we allow equality in stopping tests when the
+ * round-nearest rule will give the same floating-point value
+ * as would satisfaction of the stopping test with strict
+ * inequality.
+ * 4. We remove common factors of powers of 2 from relevant
+ * quantities.
+ * 5. When converting floating-point integers less than 1e16,
+ * we use floating-point arithmetic rather than resorting
+ * to multiple-precision integers.
+ * 6. When asked to produce fewer than 15 digits, we first try
+ * to get by with floating-point arithmetic; we resort to
+ * multiple-precision integer arithmetic only if we cannot
+ * guarantee that the floating-point calculation has given
+ * the correctly rounded result. For k requested digits and
+ * "uniformly" distributed input, the probability is
+ * something like 10^(k-15) that we must resort to the Long
+ * calculation.
*/
-ZEND_API char * zend_dtoa(double _d, int mode, int ndigits, int *decpt, int *sign, char **rve)
+ZEND_API char *
+zend_dtoa
+#ifdef KR_headers
+ (dd, mode, ndigits, decpt, sign, rve)
+ double dd; int mode, ndigits, *decpt, *sign; char **rve;
+#else
+ (double dd, int mode, int ndigits, int *decpt, int *sign, char **rve)
+#endif
{
- /* Arguments ndigits, decpt, sign are similar to those
- of ecvt and fcvt; trailing zeros are suppressed from
- the returned string. If not null, *rve is set to point
- to the end of the return value. If d is +-Infinity or NaN,
- then *decpt is set to 9999.
-
- mode:
- 0 ==> shortest string that yields d when read in
- and rounded to nearest.
- 1 ==> like 0, but with Steele & White stopping rule;
- e.g. with IEEE P754 arithmetic , mode 0 gives
- 1e23 whereas mode 1 gives 9.999999999999999e22.
- 2 ==> max(1,ndigits) significant digits. This gives a
- return value similar to that of ecvt, except
- that trailing zeros are suppressed.
- 3 ==> through ndigits past the decimal point. This
- gives a return value similar to that from fcvt,
- except that trailing zeros are suppressed, and
- ndigits can be negative.
- 4-9 should give the same return values as 2-3, i.e.,
- 4 <= mode <= 9 ==> same return as mode
- 2 + (mode & 1). These modes are mainly for
- debugging; often they run slower but sometimes
- faster than modes 2-3.
- 4,5,8,9 ==> left-to-right digit generation.
- 6-9 ==> don't try fast floating-point estimate
- (if applicable).
-
- Values of mode other than 0-9 are treated as mode 0.
-
- Sufficient space is allocated to the return value
- to hold the suppressed trailing zeros.
- */
-
- int bbits, b2, b5, be, dig, i, ieps, ilim = 0, ilim0, ilim1,
+ /* Arguments ndigits, decpt, sign are similar to those
+ of ecvt and fcvt; trailing zeros are suppressed from
+ the returned string. If not null, *rve is set to point
+ to the end of the return value. If d is +-Infinity or NaN,
+ then *decpt is set to 9999.
+
+ mode:
+ 0 ==> shortest string that yields d when read in
+ and rounded to nearest.
+ 1 ==> like 0, but with Steele & White stopping rule;
+ e.g. with IEEE P754 arithmetic , mode 0 gives
+ 1e23 whereas mode 1 gives 9.999999999999999e22.
+ 2 ==> max(1,ndigits) significant digits. This gives a
+ return value similar to that of ecvt, except
+ that trailing zeros are suppressed.
+ 3 ==> through ndigits past the decimal point. This
+ gives a return value similar to that from fcvt,
+ except that trailing zeros are suppressed, and
+ ndigits can be negative.
+ 4,5 ==> similar to 2 and 3, respectively, but (in
+ round-nearest mode) with the tests of mode 0 to
+ possibly return a shorter string that rounds to d.
+ With IEEE arithmetic and compilation with
+ -DHonor_FLT_ROUNDS, modes 4 and 5 behave the same
+ as modes 2 and 3 when FLT_ROUNDS != 1.
+ 6-9 ==> Debugging modes similar to mode - 4: don't try
+ fast floating-point estimate (if applicable).
+
+ Values of mode other than 0-9 are treated as mode 0.
+
+ Sufficient space is allocated to the return value
+ to hold the suppressed trailing zeros.
+ */
+
+ int bbits, b2, b5, be, dig, i, ieps, ilim, ilim0, ilim1,
j, j1, k, k0, k_check, leftright, m2, m5, s2, s5,
- spec_case = 0, try_quick;
+ spec_case, try_quick;
Long L;
#ifndef Sudden_Underflow
int denorm;
ULong x;
#endif
- Bigint *b, *b1, *delta, *mlo, *mhi, *S, *tmp;
+ Bigint *b, *b1, *delta, *mlo, *mhi, *S;
+ U d2, eps, u;
double ds;
char *s, *s0;
- volatile _double d, d2, eps;
-
- value(d) = _d;
+#ifndef No_leftright
+#ifdef IEEE_Arith
+ U eps1;
+#endif
+#endif
+#ifdef SET_INEXACT
+ int inexact, oldinexact;
+#endif
+#ifdef Honor_FLT_ROUNDS /*{*/
+ int Rounding;
+#ifdef Trust_FLT_ROUNDS /*{{ only define this if FLT_ROUNDS really works! */
+ Rounding = Flt_Rounds;
+#else /*}{*/
+ Rounding = 1;
+ switch(fegetround()) {
+ case FE_TOWARDZERO: Rounding = 0; break;
+ case FE_UPWARD: Rounding = 2; break;
+ case FE_DOWNWARD: Rounding = 3;
+ }
+#endif /*}}*/
+#endif /*}*/
+
+#ifndef MULTIPLE_THREADS
+ if (dtoa_result) {
+ freedtoa(dtoa_result);
+ dtoa_result = 0;
+ }
+#endif
- if (word0(d) & Sign_bit) {
+ u.d = dd;
+ if (word0(&u) & Sign_bit) {
/* set sign for everything, including 0's and NaNs */
*sign = 1;
- word0(d) &= ~Sign_bit; /* clear sign bit */
- }
+ word0(&u) &= ~Sign_bit; /* clear sign bit */
+ }
else
*sign = 0;
#if defined(IEEE_Arith) + defined(VAX)
#ifdef IEEE_Arith
- if ((word0(d) & Exp_mask) == Exp_mask)
+ if ((word0(&u) & Exp_mask) == Exp_mask)
#else
- if (word0(d) == 0x8000)
+ if (word0(&u) == 0x8000)
#endif
{
- /* Infinity or NaN */
- *decpt = 9999;
+ /* Infinity or NaN */
+ *decpt = 9999;
#ifdef IEEE_Arith
- if (!word1(d) && !(word0(d) & 0xfffff))
- return nrv_alloc("Infinity", rve, 8);
+ if (!word1(&u) && !(word0(&u) & 0xfffff))
+ return nrv_alloc("Infinity", rve, 8);
#endif
- return nrv_alloc("NaN", rve, 3);
+ return nrv_alloc("NaN", rve, 3);
}
#endif
#ifdef IBM
- value(d) += 0; /* normalize */
+ dval(&u) += 0; /* normalize */
#endif
- if (!value(d)) {
+ if (!dval(&u)) {
*decpt = 1;
return nrv_alloc("0", rve, 1);
- }
+ }
+
+#ifdef SET_INEXACT
+ try_quick = oldinexact = get_inexact();
+ inexact = 1;
+#endif
+#ifdef Honor_FLT_ROUNDS
+ if (Rounding >= 2) {
+ if (*sign)
+ Rounding = Rounding == 2 ? 0 : 2;
+ else
+ if (Rounding != 2)
+ Rounding = 0;
+ }
+#endif
- b = d2b(value(d), &be, &bbits);
+ b = d2b(&u, &be, &bbits);
#ifdef Sudden_Underflow
- i = (int)(word0(d) >> Exp_shift1 & (Exp_mask>>Exp_shift1));
+ i = (int)(word0(&u) >> Exp_shift1 & (Exp_mask>>Exp_shift1));
#else
- if ((i = (int)(word0(d) >> Exp_shift1 & (Exp_mask>>Exp_shift1)))) {
+ if ((i = (int)(word0(&u) >> Exp_shift1 & (Exp_mask>>Exp_shift1)))) {
#endif
- value(d2) = value(d);
- word0(d2) &= Frac_mask1;
- word0(d2) |= Exp_11;
+ dval(&d2) = dval(&u);
+ word0(&d2) &= Frac_mask1;
+ word0(&d2) |= Exp_11;
#ifdef IBM
- if (j = 11 - hi0bits(word0(d2) & Frac_mask))
- value(d2) /= 1 << j;
+ if (j = 11 - hi0bits(word0(&d2) & Frac_mask))
+ dval(&d2) /= 1 << j;
#endif
- /* log(x) ~=~ log(1.5) + (x-1.5)/1.5
- * log10(x) = log(x) / log(10)
- * ~=~ log(1.5)/log(10) + (x-1.5)/(1.5*log(10))
+ /* log(x) ~=~ log(1.5) + (x-1.5)/1.5
+ * log10(x) = log(x) / log(10)
+ * ~=~ log(1.5)/log(10) + (x-1.5)/(1.5*log(10))
* log10(d) = (i-Bias)*log(2)/log(10) + log10(d2)
*
* This suggests computing an approximation k to log10(d) by
*
* k = (i - Bias)*0.301029995663981
- * + ( (d2-1.5)*0.289529654602168 + 0.176091259055681 );
+ * + ( (d2-1.5)*0.289529654602168 + 0.176091259055681 );
*
* We want k to be too large rather than too small.
* The error in the first-order Taylor series approximation
@@ -1565,60 +3888,69 @@ ZEND_API char * zend_dtoa(double _d, int mode, int ndigits, int *decpt, int *sig
#endif
#ifndef Sudden_Underflow
denorm = 0;
- }
+ }
else {
/* d is denormalized */
i = bbits + be + (Bias + (P-1) - 1);
- x = i > 32 ? (word0(d) << (64 - i)) | (word1(d) >> (i - 32))
- : (word1(d) << (32 - i));
- value(d2) = x;
- word0(d2) -= 31*Exp_msk1; /* adjust exponent */
+ x = i > 32 ? word0(&u) << (64 - i) | word1(&u) >> (i - 32)
+ : word1(&u) << (32 - i);
+ dval(&d2) = x;
+ word0(&d2) -= 31*Exp_msk1; /* adjust exponent */
i -= (Bias + (P-1) - 1) + 1;
denorm = 1;
- }
+ }
#endif
- ds = (value(d2)-1.5)*0.289529654602168 + 0.1760912590558 + i*0.301029995663981;
+ ds = (dval(&d2)-1.5)*0.289529654602168 + 0.1760912590558 + i*0.301029995663981;
k = (int)ds;
if (ds < 0. && ds != k)
- k--; /* want k = floor(ds) */
+ k--; /* want k = floor(ds) */
k_check = 1;
if (k >= 0 && k <= Ten_pmax) {
- if (value(d) < tens[k])
+ if (dval(&u) < tens[k])
k--;
k_check = 0;
- }
+ }
j = bbits - i - 1;
if (j >= 0) {
b2 = 0;
s2 = j;
- }
+ }
else {
b2 = -j;
s2 = 0;
- }
+ }
if (k >= 0) {
b5 = 0;
s5 = k;
s2 += k;
- }
+ }
else {
b2 -= k;
b5 = -k;
s5 = 0;
- }
+ }
if (mode < 0 || mode > 9)
mode = 0;
+
+#ifndef SET_INEXACT
+#ifdef Check_FLT_ROUNDS
+ try_quick = Rounding == 1;
+#else
try_quick = 1;
+#endif
+#endif /*SET_INEXACT*/
+
if (mode > 5) {
mode -= 4;
try_quick = 0;
- }
+ }
leftright = 1;
+ ilim = ilim1 = -1; /* Values for cases 0 and 1; done here to */
+ /* silence erroneous "gcc -Wall" warning. */
switch(mode) {
case 0:
case 1:
- ilim = ilim1 = -1;
i = 18;
ndigits = 0;
break;
@@ -1639,15 +3971,20 @@ ZEND_API char * zend_dtoa(double _d, int mode, int ndigits, int *decpt, int *sig
ilim1 = i - 1;
if (i <= 0)
i = 1;
- }
+ }
s = s0 = rv_alloc(i);
+#ifdef Honor_FLT_ROUNDS
+ if (mode > 1 && Rounding != 1)
+ leftright = 0;
+#endif
+
if (ilim >= 0 && ilim <= Quick_max && try_quick) {
/* Try to get by with floating-point arithmetic. */
i = 0;
- value(d2) = value(d);
+ dval(&d2) = dval(&u);
k0 = k;
ilim0 = ilim;
ieps = 2; /* conservative */
@@ -1657,91 +3994,104 @@ ZEND_API char * zend_dtoa(double _d, int mode, int ndigits, int *decpt, int *sig
if (j & Bletch) {
/* prevent overflows */
j &= Bletch - 1;
- value(d) /= bigtens[n_bigtens-1];
+ dval(&u) /= bigtens[n_bigtens-1];
ieps++;
- }
+ }
for(; j; j >>= 1, i++)
if (j & 1) {
ieps++;
ds *= bigtens[i];
- }
- value(d) /= ds;
- }
+ }
+ dval(&u) /= ds;
+ }
else if ((j1 = -k)) {
- value(d) *= tens[j1 & 0xf];
+ dval(&u) *= tens[j1 & 0xf];
for(j = j1 >> 4; j; j >>= 1, i++)
if (j & 1) {
ieps++;
- value(d) *= bigtens[i];
- }
- }
- if (k_check && value(d) < 1. && ilim > 0) {
+ dval(&u) *= bigtens[i];
+ }
+ }
+ if (k_check && dval(&u) < 1. && ilim > 0) {
if (ilim1 <= 0)
goto fast_failed;
ilim = ilim1;
k--;
- value(d) *= 10.;
+ dval(&u) *= 10.;
ieps++;
- }
- value(eps) = ieps*value(d) + 7.;
- word0(eps) -= (P-1)*Exp_msk1;
+ }
+ dval(&eps) = ieps*dval(&u) + 7.;
+ word0(&eps) -= (P-1)*Exp_msk1;
if (ilim == 0) {
S = mhi = 0;
- value(d) -= 5.;
- if (value(d) > value(eps))
+ dval(&u) -= 5.;
+ if (dval(&u) > dval(&eps))
goto one_digit;
- if (value(d) < -value(eps))
+ if (dval(&u) < -dval(&eps))
goto no_digits;
goto fast_failed;
- }
+ }
#ifndef No_leftright
if (leftright) {
/* Use Steele & White method of only
* generating digits needed.
*/
- value(eps) = 0.5/tens[ilim-1] - value(eps);
+ dval(&eps) = 0.5/tens[ilim-1] - dval(&eps);
+#ifdef IEEE_Arith
+ if (k0 < 0 && j1 >= 307) {
+ eps1.d = 1.01e256; /* 1.01 allows roundoff in the next few lines */
+ word0(&eps1) -= Exp_msk1 * (Bias+P-1);
+ dval(&eps1) *= tens[j1 & 0xf];
+ for(i = 0, j = (j1-256) >> 4; j; j >>= 1, i++)
+ if (j & 1)
+ dval(&eps1) *= bigtens[i];
+ if (eps.d < eps1.d)
+ eps.d = eps1.d;
+ }
+#endif
for(i = 0;;) {
- L = value(d);
- value(d) -= L;
+ L = dval(&u);
+ dval(&u) -= L;
*s++ = '0' + (int)L;
- if (value(d) < value(eps))
- goto ret1;
- if (1. - value(d) < value(eps))
+ if (1. - dval(&u) < dval(&eps))
goto bump_up;
+ if (dval(&u) < dval(&eps))
+ goto ret1;
if (++i >= ilim)
break;
- value(eps) *= 10.;
- value(d) *= 10.;
+ dval(&eps) *= 10.;
+ dval(&u) *= 10.;
+ }
}
- }
else {
#endif
/* Generate ilim digits, then fix them up. */
- value(eps) *= tens[ilim-1];
- for(i = 1;; i++, value(d) *= 10.) {
- L = value(d);
- value(d) -= L;
+ dval(&eps) *= tens[ilim-1];
+ for(i = 1;; i++, dval(&u) *= 10.) {
+ L = (Long)(dval(&u));
+ if (!(dval(&u) -= L))
+ ilim = i;
*s++ = '0' + (int)L;
if (i == ilim) {
- if (value(d) > 0.5 + value(eps))
+ if (dval(&u) > 0.5 + dval(&eps))
goto bump_up;
- else if (value(d) < 0.5 - value(eps)) {
+ else if (dval(&u) < 0.5 - dval(&eps)) {
while(*--s == '0');
s++;
goto ret1;
- }
+ }
break;
+ }
}
- }
#ifndef No_leftright
- }
+ }
#endif
-fast_failed:
+ fast_failed:
s = s0;
- value(d) = value(d2);
+ dval(&u) = dval(&d2);
k = k0;
ilim = ilim0;
- }
+ }
/* Do we have a "small" integer? */
@@ -1750,80 +4100,80 @@ fast_failed:
ds = tens[k];
if (ndigits < 0 && ilim <= 0) {
S = mhi = 0;
- if (ilim < 0 || value(d) <= 5*ds)
+ if (ilim < 0 || dval(&u) <= 5*ds)
goto no_digits;
goto one_digit;
- }
- for(i = 1;; i++) {
- L = value(d) / ds;
- value(d) -= L*ds;
+ }
+ for(i = 1;; i++, dval(&u) *= 10.) {
+ L = (Long)(dval(&u) / ds);
+ dval(&u) -= L*ds;
#ifdef Check_FLT_ROUNDS
/* If FLT_ROUNDS == 2, L will usually be high by 1 */
- if (value(d) < 0) {
+ if (dval(&u) < 0) {
L--;
- value(d) += ds;
- }
+ dval(&u) += ds;
+ }
#endif
*s++ = '0' + (int)L;
+ if (!dval(&u)) {
+#ifdef SET_INEXACT
+ inexact = 0;
+#endif
+ break;
+ }
if (i == ilim) {
- value(d) += value(d);
- if (value(d) > ds || (value(d) == ds && (L & 1))) {
-bump_up:
+#ifdef Honor_FLT_ROUNDS
+ if (mode > 1)
+ switch(Rounding) {
+ case 0: goto ret1;
+ case 2: goto bump_up;
+ }
+#endif
+ dval(&u) += dval(&u);
+#ifdef ROUND_BIASED
+ if (dval(&u) >= ds)
+#else
+ if (dval(&u) > ds || (dval(&u) == ds && L & 1))
+#endif
+ {
+ bump_up:
while(*--s == '9')
if (s == s0) {
k++;
*s = '0';
break;
- }
+ }
++*s++;
- }
+ }
break;
+ }
}
- if (!(value(d) *= 10.))
- break;
- }
goto ret1;
- }
+ }
m2 = b2;
m5 = b5;
mhi = mlo = 0;
if (leftright) {
- if (mode < 2) {
- i =
+ i =
#ifndef Sudden_Underflow
- denorm ? be + (Bias + (P-1) - 1 + 1) :
+ denorm ? be + (Bias + (P-1) - 1 + 1) :
#endif
#ifdef IBM
- 1 + 4*P - 3 - bbits + ((bbits + be - 1) & 3);
+ 1 + 4*P - 3 - bbits + ((bbits + be - 1) & 3);
#else
1 + P - bbits;
#endif
- }
- else {
- j = ilim - 1;
- if (m5 >= j)
- m5 -= j;
- else {
- s5 += j -= m5;
- b5 += j;
- m5 = 0;
- }
- if ((i = ilim) < 0) {
- m2 -= i;
- i = 0;
- }
- }
b2 += i;
s2 += i;
mhi = i2b(1);
- }
+ }
if (m2 > 0 && s2 > 0) {
i = m2 < s2 ? m2 : s2;
b2 -= i;
m2 -= i;
s2 -= i;
- }
+ }
if (b5 > 0) {
if (leftright) {
if (m5 > 0) {
@@ -1831,33 +4181,36 @@ bump_up:
b1 = mult(mhi, b);
Bfree(b);
b = b1;
- }
- if ((j = b5 - m5)) {
+ }
+ if ((j = b5 - m5))
b = pow5mult(b, j);
}
- } else {
+ else
b = pow5mult(b, b5);
}
- }
S = i2b(1);
if (s5 > 0)
S = pow5mult(S, s5);
+
/* Check for special case that d is a normalized power of 2. */
- if (mode < 2) {
- if (!word1(d) && !(word0(d) & Bndry_mask)
+ spec_case = 0;
+ if ((mode < 2 || leftright)
+#ifdef Honor_FLT_ROUNDS
+ && Rounding == 1
+#endif
+ ) {
+ if (!word1(&u) && !(word0(&u) & Bndry_mask)
#ifndef Sudden_Underflow
- && word0(d) & Exp_mask
+ && word0(&u) & (Exp_mask & ~Exp_msk1)
#endif
- ) {
+ ) {
/* The special case */
b2 += Log2P;
s2 += Log2P;
spec_case = 1;
- } else {
- spec_case = 0;
+ }
}
- }
/* Arrange for convenient computation of quotients:
* shift left if necessary so divisor has 4 leading 0 bits.
@@ -1866,25 +4219,10 @@ bump_up:
* and for all and pass them and a shift to quorem, so it
* can do shifts and ors to compute the numerator for q.
*/
-#ifdef Pack_32
- if ((i = ((s5 ? 32 - hi0bits(S->x[S->wds-1]) : 1) + s2) & 0x1f))
- i = 32 - i;
-#else
- if ((i = ((s5 ? 32 - hi0bits(S->x[S->wds-1]) : 1) + s2) & 0xf))
- i = 16 - i;
-#endif
- if (i > 4) {
- i -= 4;
- b2 += i;
- m2 += i;
- s2 += i;
- }
- else if (i < 4) {
- i += 28;
- b2 += i;
- m2 += i;
- s2 += i;
- }
+ i = dshift(S, s2);
+ b2 += i;
+ m2 += i;
+ s2 += i;
if (b2 > 0)
b = lshift(b, b2);
if (s2 > 0)
@@ -1892,24 +4230,24 @@ bump_up:
if (k_check) {
if (cmp(b,S) < 0) {
k--;
- b = multadd(b, 10, 0); /* we botched the k estimate */
+ b = multadd(b, 10, 0); /* we botched the k estimate */
if (leftright)
mhi = multadd(mhi, 10, 0);
ilim = ilim1;
+ }
}
- }
- if (ilim <= 0 && mode > 2) {
+ if (ilim <= 0 && (mode == 3 || mode == 5)) {
if (ilim < 0 || cmp(b,S = multadd(S,5,0)) <= 0) {
/* no digits, fcvt style */
-no_digits:
+ no_digits:
k = -1 - ndigits;
goto ret;
- }
-one_digit:
+ }
+ one_digit:
*s++ = '1';
k++;
goto ret;
- }
+ }
if (leftright) {
if (m2 > 0)
mhi = lshift(mhi, m2);
@@ -1923,7 +4261,7 @@ one_digit:
mhi = Balloc(mhi->k);
Bcopy(mhi, mlo);
mhi = lshift(mhi, Log2P);
- }
+ }
for(i = 1;;i++) {
dig = quorem(b,S) + '0';
@@ -1935,39 +4273,72 @@ one_digit:
j1 = delta->sign ? 1 : cmp(b, delta);
Bfree(delta);
#ifndef ROUND_BIASED
- if (j1 == 0 && !mode && !(word1(d) & 1)) {
+ if (j1 == 0 && mode != 1 && !(word1(&u) & 1)
+#ifdef Honor_FLT_ROUNDS
+ && Rounding >= 1
+#endif
+ ) {
if (dig == '9')
goto round_9_up;
if (j > 0)
dig++;
+#ifdef SET_INEXACT
+ else if (!b->x[0] && b->wds <= 1)
+ inexact = 0;
+#endif
*s++ = dig;
goto ret;
- }
+ }
#endif
- if (j < 0 || (j == 0 && !mode
+ if (j < 0 || (j == 0 && mode != 1
#ifndef ROUND_BIASED
- && !(word1(d) & 1)
+ && !(word1(&u) & 1)
+#endif
+ )) {
+ if (!b->x[0] && b->wds <= 1) {
+#ifdef SET_INEXACT
+ inexact = 0;
#endif
- )) {
+ goto accept_dig;
+ }
+#ifdef Honor_FLT_ROUNDS
+ if (mode > 1)
+ switch(Rounding) {
+ case 0: goto accept_dig;
+ case 2: goto keep_dig;
+ }
+#endif /*Honor_FLT_ROUNDS*/
if (j1 > 0) {
b = lshift(b, 1);
j1 = cmp(b, S);
- if ((j1 > 0 || (j1 == 0 && (dig & 1)))
- && dig++ == '9')
+#ifdef ROUND_BIASED
+ if (j1 >= 0 /*)*/
+#else
+ if ((j1 > 0 || (j1 == 0 && dig & 1))
+#endif
+ && dig++ == '9')
goto round_9_up;
- }
+ }
+ accept_dig:
*s++ = dig;
goto ret;
- }
+ }
if (j1 > 0) {
+#ifdef Honor_FLT_ROUNDS
+ if (!Rounding)
+ goto accept_dig;
+#endif
if (dig == '9') { /* possible if i == 1 */
-round_9_up:
+ round_9_up:
*s++ = '9';
goto roundoff;
- }
+ }
*s++ = dig + 1;
goto ret;
- }
+ }
+#ifdef Honor_FLT_ROUNDS
+ keep_dig:
+#endif
*s++ = dig;
if (i == ilim)
break;
@@ -1977,612 +4348,82 @@ round_9_up:
else {
mlo = multadd(mlo, 10, 0);
mhi = multadd(mhi, 10, 0);
+ }
}
}
- }
else
for(i = 1;; i++) {
*s++ = dig = quorem(b,S) + '0';
+ if (!b->x[0] && b->wds <= 1) {
+#ifdef SET_INEXACT
+ inexact = 0;
+#endif
+ goto ret;
+ }
if (i >= ilim)
break;
b = multadd(b, 10, 0);
- }
+ }
/* Round off last digit */
+#ifdef Honor_FLT_ROUNDS
+ switch(Rounding) {
+ case 0: goto trimzeros;
+ case 2: goto roundoff;
+ }
+#endif
b = lshift(b, 1);
j = cmp(b, S);
- if (j > 0 || (j == 0 && (dig & 1))) {
-roundoff:
+#ifdef ROUND_BIASED
+ if (j >= 0)
+#else
+ if (j > 0 || (j == 0 && dig & 1))
+#endif
+ {
+ roundoff:
while(*--s == '9')
if (s == s0) {
k++;
*s++ = '1';
goto ret;
- }
+ }
++*s++;
- }
+ }
else {
+#ifdef Honor_FLT_ROUNDS
+ trimzeros:
+#endif
while(*--s == '0');
s++;
- }
-ret:
+ }
+ ret:
Bfree(S);
if (mhi) {
if (mlo && mlo != mhi)
Bfree(mlo);
Bfree(mhi);
- }
-ret1:
-
- _THREAD_PRIVATE_MUTEX_LOCK(pow5mult_mutex);
- while (p5s) {
- tmp = p5s;
- p5s = p5s->next;
- free(tmp);
- }
- _THREAD_PRIVATE_MUTEX_UNLOCK(pow5mult_mutex);
-
+ }
+ ret1:
+#ifdef SET_INEXACT
+ if (inexact) {
+ if (!oldinexact) {
+ word0(&u) = Exp_1 + (70 << Exp_shift);
+ word1(&u) = 0;
+ dval(&u) += 1.;
+ }
+ }
+ else if (!oldinexact)
+ clear_inexact();
+#endif
Bfree(b);
-
- if (s == s0) { /* don't return empty string */
- *s++ = '0';
- k = 0;
- }
*s = 0;
*decpt = k + 1;
if (rve)
*rve = s;
return s0;
-}
-
-ZEND_API double zend_strtod (CONST char *s00, CONST char **se)
-{
- int bb2, bb5, bbe, bd2, bd5, bbbits, bs2, c, dsign,
- e, e1, esign, i, j, k, nd, nd0, nf, nz, nz0, sign;
- CONST char *s, *s0, *s1;
- volatile double aadj, aadj1, adj;
- volatile _double rv, rv0;
- Long L;
- ULong y, z;
- Bigint *bb, *bb1, *bd, *bd0, *bs, *delta, *tmp;
- double result;
-
- CONST char decimal_point = '.';
-
- sign = nz0 = nz = 0;
- value(rv) = 0.;
-
-
- for(s = s00; isspace((unsigned char) *s); s++)
- ;
-
- if (*s == '-') {
- sign = 1;
- s++;
- } else if (*s == '+') {
- s++;
}
- if (*s == '\0') {
- s = s00;
- goto ret;
- }
-
- if (*s == '0') {
- nz0 = 1;
- while(*++s == '0') ;
- if (!*s)
- goto ret;
- }
- s0 = s;
- y = z = 0;
- for(nd = nf = 0; (c = *s) >= '0' && c <= '9'; nd++, s++)
- if (nd < 9)
- y = 10*y + c - '0';
- else if (nd < 16)
- z = 10*z + c - '0';
- nd0 = nd;
- if (c == decimal_point) {
- c = *++s;
- if (!nd) {
- for(; c == '0'; c = *++s)
- nz++;
- if (c > '0' && c <= '9') {
- s0 = s;
- nf += nz;
- nz = 0;
- goto have_dig;
- }
- goto dig_done;
- }
- for(; c >= '0' && c <= '9'; c = *++s) {
-have_dig:
- nz++;
- if (c -= '0') {
- nf += nz;
- for(i = 1; i < nz; i++)
- if (nd++ < 9)
- y *= 10;
- else if (nd <= DBL_DIG + 1)
- z *= 10;
- if (nd++ < 9)
- y = 10*y + c;
- else if (nd <= DBL_DIG + 1)
- z = 10*z + c;
- nz = 0;
- }
- }
- }
-dig_done:
- e = 0;
- if (c == 'e' || c == 'E') {
- if (!nd && !nz && !nz0) {
- s = s00;
- goto ret;
- }
- s00 = s;
- esign = 0;
- switch(c = *++s) {
- case '-':
- esign = 1;
- case '+':
- c = *++s;
- }
- if (c >= '0' && c <= '9') {
- while(c == '0')
- c = *++s;
- if (c > '0' && c <= '9') {
- L = c - '0';
- s1 = s;
- while((c = *++s) >= '0' && c <= '9')
- L = 10*L + c - '0';
- if (s - s1 > 8 || L > 19999)
- /* Avoid confusion from exponents
- * so large that e might overflow.
- */
- e = 19999; /* safe for 16 bit ints */
- else
- e = (int)L;
- if (esign)
- e = -e;
- }
- else
- e = 0;
- }
- else
- s = s00;
- }
- if (!nd) {
- if (!nz && !nz0)
- s = s00;
- goto ret;
- }
- e1 = e -= nf;
-
- /* Now we have nd0 digits, starting at s0, followed by a
- * decimal point, followed by nd-nd0 digits. The number we're
- * after is the integer represented by those digits times
- * 10**e */
-
- if (!nd0)
- nd0 = nd;
- k = nd < DBL_DIG + 1 ? nd : DBL_DIG + 1;
- value(rv) = y;
- if (k > 9)
- value(rv) = tens[k - 9] * value(rv) + z;
- bd0 = 0;
- if (nd <= DBL_DIG
-#ifndef RND_PRODQUOT
- && FLT_ROUNDS == 1
-#endif
- ) {
- if (!e)
- goto ret;
- if (e > 0) {
- if (e <= Ten_pmax) {
-#ifdef VAX
- goto vax_ovfl_check;
-#else
- /* value(rv) = */ rounded_product(value(rv),
- tens[e]);
- goto ret;
-#endif
- }
- i = DBL_DIG - nd;
- if (e <= Ten_pmax + i) {
- /* A fancier test would sometimes let us do
- * this for larger i values.
- */
- e -= i;
- value(rv) *= tens[i];
-#ifdef VAX
- /* VAX exponent range is so narrow we must
- * worry about overflow here...
- */
-vax_ovfl_check:
- word0(rv) -= P*Exp_msk1;
- /* value(rv) = */ rounded_product(value(rv),
- tens[e]);
- if ((word0(rv) & Exp_mask)
- > Exp_msk1*(DBL_MAX_EXP+Bias-1-P))
- goto ovfl;
- word0(rv) += P*Exp_msk1;
-#else
- /* value(rv) = */ rounded_product(value(rv),
- tens[e]);
-#endif
- goto ret;
- }
- }
-#ifndef Inaccurate_Divide
- else if (e >= -Ten_pmax) {
- /* value(rv) = */ rounded_quotient(value(rv),
- tens[-e]);
- goto ret;
- }
-#endif
- }
- e1 += nd - k;
-
- /* Get starting approximation = rv * 10**e1 */
-
- if (e1 > 0) {
- if ((i = e1 & 15))
- value(rv) *= tens[i];
- if (e1 &= ~15) {
- if (e1 > DBL_MAX_10_EXP) {
-ovfl:
- errno = ERANGE;
-#ifndef Bad_float_h
- value(rv) = HUGE_VAL;
-#else
- /* Can't trust HUGE_VAL */
-#ifdef IEEE_Arith
- word0(rv) = Exp_mask;
- word1(rv) = 0;
-#else
- word0(rv) = Big0;
- word1(rv) = Big1;
-#endif
-#endif
- if (bd0)
- goto retfree;
- goto ret;
- }
- if (e1 >>= 4) {
- for(j = 0; e1 > 1; j++, e1 >>= 1)
- if (e1 & 1)
- value(rv) *= bigtens[j];
- /* The last multiplication could overflow. */
- word0(rv) -= P*Exp_msk1;
- value(rv) *= bigtens[j];
- if ((z = word0(rv) & Exp_mask)
- > Exp_msk1*(DBL_MAX_EXP+Bias-P))
- goto ovfl;
- if (z > Exp_msk1*(DBL_MAX_EXP+Bias-1-P)) {
- /* set to largest number */
- /* (Can't trust DBL_MAX) */
- word0(rv) = Big0;
- word1(rv) = Big1;
- }
- else
- word0(rv) += P*Exp_msk1;
- }
-
- }
- }
- else if (e1 < 0) {
- e1 = -e1;
- if ((i = e1 & 15))
- value(rv) /= tens[i];
- if (e1 &= ~15) {
- e1 >>= 4;
- if (e1 >= 1 << n_bigtens)
- goto undfl;
- for(j = 0; e1 > 1; j++, e1 >>= 1)
- if (e1 & 1)
- value(rv) *= tinytens[j];
- /* The last multiplication could underflow. */
- value(rv0) = value(rv);
- value(rv) *= tinytens[j];
- if (!value(rv)) {
- value(rv) = 2.*value(rv0);
- value(rv) *= tinytens[j];
- if (!value(rv)) {
-undfl:
- value(rv) = 0.;
- errno = ERANGE;
- if (bd0)
- goto retfree;
- goto ret;
- }
- word0(rv) = Tiny0;
- word1(rv) = Tiny1;
- /* The refinement below will clean
- * this approximation up.
- */
- }
- }
- }
-
- /* Now the hard part -- adjusting rv to the correct value.*/
-
- /* Put digits into bd: true value = bd * 10^e */
-
- bd0 = s2b(s0, nd0, nd, y);
-
- for(;;) {
- bd = Balloc(bd0->k);
- Bcopy(bd, bd0);
- bb = d2b(value(rv), &bbe, &bbbits); /* rv = bb * 2^bbe */
- bs = i2b(1);
-
- if (e >= 0) {
- bb2 = bb5 = 0;
- bd2 = bd5 = e;
- }
- else {
- bb2 = bb5 = -e;
- bd2 = bd5 = 0;
- }
- if (bbe >= 0)
- bb2 += bbe;
- else
- bd2 -= bbe;
- bs2 = bb2;
-#ifdef Sudden_Underflow
-#ifdef IBM
- j = 1 + 4*P - 3 - bbbits + ((bbe + bbbits - 1) & 3);
-#else
- j = P + 1 - bbbits;
-#endif
-#else
- i = bbe + bbbits - 1; /* logb(rv) */
- if (i < Emin) /* denormal */
- j = bbe + (P-Emin);
- else
- j = P + 1 - bbbits;
-#endif
- bb2 += j;
- bd2 += j;
- i = bb2 < bd2 ? bb2 : bd2;
- if (i > bs2)
- i = bs2;
- if (i > 0) {
- bb2 -= i;
- bd2 -= i;
- bs2 -= i;
- }
- if (bb5 > 0) {
- bs = pow5mult(bs, bb5);
- bb1 = mult(bs, bb);
- Bfree(bb);
- bb = bb1;
- }
- if (bb2 > 0)
- bb = lshift(bb, bb2);
- if (bd5 > 0)
- bd = pow5mult(bd, bd5);
- if (bd2 > 0)
- bd = lshift(bd, bd2);
- if (bs2 > 0)
- bs = lshift(bs, bs2);
- delta = diff(bb, bd);
- dsign = delta->sign;
- delta->sign = 0;
- i = cmp(delta, bs);
- if (i < 0) {
- /* Error is less than half an ulp -- check for
- * special case of mantissa a power of two.
- */
- if (dsign || word1(rv) || word0(rv) & Bndry_mask)
- break;
- delta = lshift(delta,Log2P);
- if (cmp(delta, bs) > 0)
- goto drop_down;
- break;
- }
- if (i == 0) {
- /* exactly half-way between */
- if (dsign) {
- if ((word0(rv) & Bndry_mask1) == Bndry_mask1
- && word1(rv) == 0xffffffff) {
- /*boundary case -- increment exponent*/
- word0(rv) = (word0(rv) & Exp_mask)
- + Exp_msk1
-#ifdef IBM
- | Exp_msk1 >> 4
-#endif
- ;
- word1(rv) = 0;
- break;
- }
- }
- else if (!(word0(rv) & Bndry_mask) && !word1(rv)) {
-drop_down:
- /* boundary case -- decrement exponent */
-#ifdef Sudden_Underflow
- L = word0(rv) & Exp_mask;
-#ifdef IBM
- if (L < Exp_msk1)
-#else
- if (L <= Exp_msk1)
-#endif
- goto undfl;
- L -= Exp_msk1;
-#else
- L = (word0(rv) & Exp_mask) - Exp_msk1;
-#endif
- word0(rv) = L | Bndry_mask1;
- word1(rv) = 0xffffffff;
-#ifdef IBM
- goto cont;
-#else
- break;
-#endif
- }
-#ifndef ROUND_BIASED
- if (!(word1(rv) & LSB))
- break;
-#endif
- if (dsign)
- value(rv) += ulp(value(rv));
-#ifndef ROUND_BIASED
- else {
- value(rv) -= ulp(value(rv));
-#ifndef Sudden_Underflow
- if (!value(rv))
- goto undfl;
-#endif
- }
-#endif
- break;
- }
- if ((aadj = ratio(delta, bs)) <= 2.) {
- if (dsign)
- aadj = aadj1 = 1.;
- else if (word1(rv) || word0(rv) & Bndry_mask) {
-#ifndef Sudden_Underflow
- if (word1(rv) == Tiny1 && !word0(rv))
- goto undfl;
-#endif
- aadj = 1.;
- aadj1 = -1.;
- }
- else {
- /* special case -- power of FLT_RADIX to be */
- /* rounded down... */
-
- if (aadj < 2./FLT_RADIX)
- aadj = 1./FLT_RADIX;
- else
- aadj *= 0.5;
- aadj1 = -aadj;
- }
- }
- else {
- aadj *= 0.5;
- aadj1 = dsign ? aadj : -aadj;
-#ifdef Check_FLT_ROUNDS
- switch(FLT_ROUNDS) {
- case 2: /* towards +infinity */
- aadj1 -= 0.5;
- break;
- case 0: /* towards 0 */
- case 3: /* towards -infinity */
- aadj1 += 0.5;
- }
-#else
- if (FLT_ROUNDS == 0)
- aadj1 += 0.5;
-#endif
- }
- y = word0(rv) & Exp_mask;
-
- /* Check for overflow */
-
- if (y == Exp_msk1*(DBL_MAX_EXP+Bias-1)) {
- value(rv0) = value(rv);
- word0(rv) -= P*Exp_msk1;
- adj = aadj1 * ulp(value(rv));
- value(rv) += adj;
- if ((word0(rv) & Exp_mask) >=
- Exp_msk1*(DBL_MAX_EXP+Bias-P)) {
- if (word0(rv0) == Big0 && word1(rv0) == Big1)
- goto ovfl;
- word0(rv) = Big0;
- word1(rv) = Big1;
- goto cont;
- }
- else
- word0(rv) += P*Exp_msk1;
- }
- else {
-#ifdef Sudden_Underflow
- if ((word0(rv) & Exp_mask) <= P*Exp_msk1) {
- value(rv0) = value(rv);
- word0(rv) += P*Exp_msk1;
- adj = aadj1 * ulp(value(rv));
- value(rv) += adj;
-#ifdef IBM
- if ((word0(rv) & Exp_mask) < P*Exp_msk1)
-#else
- if ((word0(rv) & Exp_mask) <= P*Exp_msk1)
-#endif
- {
- if (word0(rv0) == Tiny0
- && word1(rv0) == Tiny1)
- goto undfl;
- word0(rv) = Tiny0;
- word1(rv) = Tiny1;
- goto cont;
- }
- else
- word0(rv) -= P*Exp_msk1;
- }
- else {
- adj = aadj1 * ulp(value(rv));
- value(rv) += adj;
- }
-#else
- /* Compute adj so that the IEEE rounding rules will
- * correctly round rv + adj in some half-way cases.
- * If rv * ulp(rv) is denormalized (i.e.,
- * y <= (P-1)*Exp_msk1), we must adjust aadj to avoid
- * trouble from bits lost to denormalization;
- * example: 1.2e-307 .
- */
- if (y <= (P-1)*Exp_msk1 && aadj >= 1.) {
- aadj1 = (double)(int)(aadj + 0.5);
- if (!dsign)
- aadj1 = -aadj1;
- }
- adj = aadj1 * ulp(value(rv));
- value(rv) += adj;
-#endif
- }
- z = word0(rv) & Exp_mask;
- if (y == z) {
- /* Can we stop now? */
- L = aadj;
- aadj -= L;
- /* The tolerances below are conservative. */
- if (dsign || word1(rv) || word0(rv) & Bndry_mask) {
- if (aadj < .4999999 || aadj > .5000001)
- break;
- }
- else if (aadj < .4999999/FLT_RADIX)
- break;
- }
-cont:
- Bfree(bb);
- Bfree(bd);
- Bfree(bs);
- Bfree(delta);
- }
-retfree:
- Bfree(bb);
- Bfree(bd);
- Bfree(bs);
- Bfree(bd0);
- Bfree(delta);
-ret:
- if (se)
- *se = s;
- result = sign ? -value(rv) : value(rv);
-
- _THREAD_PRIVATE_MUTEX_LOCK(pow5mult_mutex);
- while (p5s) {
- tmp = p5s;
- p5s = p5s->next;
- free(tmp);
- }
- _THREAD_PRIVATE_MUTEX_UNLOCK(pow5mult_mutex);
-
- return result;
-}
-
ZEND_API double zend_hex_strtod(const char *str, const char **endptr)
{
const char *s = str;
@@ -2697,6 +4538,28 @@ ZEND_API double zend_bin_strtod(const char *str, const char **endptr)
return value;
}
+static void destroy_freelist(void)
+{
+#if 0
+ int i;
+ Bigint *tmp;
+
+ ACQUIRE_DTOA_LOCK(0)
+ for (i = 0; i <= Kmax; i++) {
+ Bigint **listp = &freelist[i];
+ while ((tmp = *listp) != NULL) {
+ *listp = tmp->next;
+ free(tmp);
+ }
+ freelist[i] = NULL;
+ }
+ FREE_DTOA_LOCK(0)
+#endif
+}
+
+#ifdef __cplusplus
+}
+#endif
/*
* Local variables:
* tab-width: 4