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php-src/Zend/zend_strtod.c
Christoph M. Becker 825509ee9e
Drop superfluous LONG_MAX/LONG_MIN fallback definitions (GH-15667) 
Both macros are supposed to be defined in limits.h (C99) and as such it
is superfluous to provide fallback definitions.  Even worse, because
these fallback definitions didn't cater to LP64, ILP64 and SILP64 data
models (and maybe some rather uncommon ones), but just assumed ILP32,
they are confusing.
2024-09-27 17:34:54 +02:00

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/****************************************************************
*
* The author of this software is David M. Gay.
*
* 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
* is included in all copies of any software which is or includes a copy
* or modification of this software and in all copies of the supporting
* documentation for such software.
*
* THIS SOFTWARE IS BEING PROVIDED "AS IS", WITHOUT ANY EXPRESS OR IMPLIED
* WARRANTY. IN PARTICULAR, NEITHER THE AUTHOR NOR LUCENT MAKES ANY
* REPRESENTATION OR WARRANTY OF ANY KIND CONCERNING THE MERCHANTABILITY
* OF THIS SOFTWARE OR ITS FITNESS FOR ANY PARTICULAR PURPOSE.
*
***************************************************************/
/* 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
* broken by the IEEE round-even rule. Otherwise ties are broken by
* biased rounding (add half and chop).
*
* Inspired loosely by William D. Clinger's paper "How to Read Floating
* Point Numbers Accurately" [Proc. ACM SIGPLAN '90, pp. 92-101].
*
* Modifications:
*
* 1. We only require IEEE, IBM, or VAX double-precision
* arithmetic (not IEEE double-extended).
* 2. We get by with floating-point arithmetic in a case that
* Clinger missed -- when we're computing d * 10^n
* for a small integer d and the integer n is not too
* much larger than 22 (the maximum integer k for which
* we can represent 10^k exactly), we may be able to
* compute (d*10^k) * 10^(e-k) with just one roundoff.
* 3. Rather than a bit-at-a-time adjustment of the binary
* result in the hard case, we use floating-point
* arithmetic to determine the adjustment to within
* one bit; only in really hard cases do we need to
* compute a second residual.
* 4. Because of 3., we don't need a large table of powers of 10
* for ten-to-e (just some small tables, e.g. of 10^k
* for 0 <= k <= 22).
*/
/*
* #define IEEE_8087 for IEEE-arithmetic machines where the least
* significant byte has the lowest address.
* #define IEEE_MC68k 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 IBM for IBM mainframe-style floating-point arithmetic.
* #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. 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 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 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,
* FLT_RADIX, FLT_ROUNDS, and DBL_MAX.
* #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. 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).
*/
#include <zend_operators.h>
#include <zend_strtod.h>
#include "zend_strtod_int.h"
#include "zend_globals.h"
#ifndef Long
#define Long int32_t
#endif
#ifndef ULong
#define ULong uint32_t
#endif
#undef Bigint
#undef freelist
#undef p5s
#undef dtoa_result
#define Bigint _zend_strtod_bigint
#define freelist (EG(strtod_state).freelist)
#define p5s (EG(strtod_state).p5s)
#define dtoa_result (EG(strtod_state).result)
#ifdef DEBUG
static void Bug(const char *message) {
fprintf(stderr, "%s\n", message);
}
#endif
#include "stdlib.h"
#include "string.h"
#ifdef USE_LOCALE
#include "locale.h"
#endif
#ifdef Honor_FLT_ROUNDS
#ifndef Trust_FLT_ROUNDS
#include <fenv.h>
#endif
#endif
#ifdef MALLOC
#ifdef KR_headers
extern char *MALLOC();
#else
extern void *MALLOC(size_t);
#endif
#else
#define MALLOC malloc
#define FREE free
#endif
#ifndef Omit_Private_Memory
#ifndef PRIVATE_MEM
#define PRIVATE_MEM 2304
#endif
#define PRIVATE_mem ((PRIVATE_MEM+sizeof(double)-1)/sizeof(double))
static double private_mem[PRIVATE_mem], *pmem_next = private_mem;
#endif
#undef IEEE_Arith
#undef Avoid_Underflow
#ifdef IEEE_MC68k
#define IEEE_Arith
#endif
#ifdef IEEE_8087
#define IEEE_Arith
#endif
#ifdef IEEE_Arith
#ifndef NO_INFNAN_CHECK
#undef INFNAN_CHECK
#define INFNAN_CHECK
#endif
#else
#undef INFNAN_CHECK
#define NO_STRTOD_BIGCOMP
#endif
#include "errno.h"
#ifdef Bad_float_h
#ifdef IEEE_Arith
#define DBL_DIG 15
#define DBL_MAX_10_EXP 308
#define DBL_MAX_EXP 1024
#define FLT_RADIX 2
#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 DBL_MAX 7.2370055773322621e+75
#endif
#ifdef VAX
#define DBL_DIG 16
#define DBL_MAX_10_EXP 38
#define DBL_MAX_EXP 127
#define FLT_RADIX 2
#define DBL_MAX 1.7014118346046923e+38
#endif
#else /* ifndef Bad_float_h */
#include "float.h"
#endif /* Bad_float_h */
#ifndef __MATH_H__
#include "math.h"
#endif
#ifndef CONST
#ifdef KR_headers
#define CONST /* blank */
#else
#define CONST const
#endif
#endif
#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 word0(x) (x)->L[0]
#define word1(x) (x)->L[1]
#endif
#define dval(x) (x)->d
#ifndef STRTOD_DIGLIM
#define STRTOD_DIGLIM 40
#endif
#ifdef DIGLIM_DEBUG
extern int strtod_diglim;
#else
#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_8087) + defined(VAX) + defined(__arm__)
#define Storeinc(a,b,c) (((unsigned short *)a)[1] = (unsigned short)b, \
((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++)
#endif
/* #define P DBL_MANT_DIG */
/* Ten_pmax = floor(P*log(2)/log(5)) */
/* Bletch = (highest power of 2 < DBL_MAX_10_EXP) / 16 */
/* Quick_max = floor((P-1)*log(FLT_RADIX)/log(10) - 1) */
/* Int_max = floor(P*log(FLT_RADIX)/log(10) - 1) */
#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 Emax 1023
#define Emin (-1022)
#define Exp_1 0x3ff00000
#define Exp_11 0x3ff00000
#define Ebits 11
#define Frac_mask 0xfffff
#define Frac_mask1 0xfffff
#define Ten_pmax 22
#define Bletch 0x10
#define Bndry_mask 0xfffff
#define Bndry_mask1 0xfffff
#define LSB 1
#define Sign_bit 0x80000000
#define Log2P 1
#define Tiny0 0
#define Tiny1 1
#define Quick_max 14
#define Int_max 14
#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 Frac_mask 0xffffff
#define Frac_mask1 0xffffff
#define Bletch 4
#define Ten_pmax 22
#define Bndry_mask 0xefffff
#define Bndry_mask1 0xffffff
#define LSB 1
#define Sign_bit 0x80000000
#define Log2P 4
#define Tiny0 0x100000
#define Tiny1 0
#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
#define Frac_mask 0x7fffff
#define Frac_mask1 0xffff007f
#define Ten_pmax 24
#define Bletch 2
#define Bndry_mask 0xffff007f
#define Bndry_mask1 0xffff007f
#define LSB 0x10000
#define Sign_bit 0x8000
#define Log2P 1
#define Tiny0 0x80
#define Tiny1 0
#define Quick_max 15
#define Int_max 15
#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
#define rounded_product(a,b) a = rnd_prod(a, b)
#define rounded_quotient(a,b) a = rnd_quot(a, b)
#ifdef KR_headers
extern double rnd_prod(), rnd_quot();
#else
extern double rnd_prod(double, double), rnd_quot(double, double);
#endif
#else
#define rounded_product(a,b) a *= b
#define rounded_quotient(a,b) a /= b
#endif
#define Big0 (Frac_mask1 | Exp_msk1*(DBL_MAX_EXP+Bias-1))
#define Big1 0xffffffff
#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
#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 */
#ifndef MULTIPLE_THREADS
#define ACQUIRE_DTOA_LOCK(n) /*nothing*/
#define FREE_DTOA_LOCK(n) /*nothing*/
#endif
#define Kmax ZEND_STRTOD_K_MAX
struct
Bigint {
struct Bigint *next;
int k, maxwds, sign, wds;
ULong x[1];
};
typedef struct Bigint Bigint;
#ifndef Bigint
static Bigint *freelist[Kmax+1];
#endif
static void destroy_freelist(void);
static void free_p5s(void);
#ifdef MULTIPLE_THREADS
static MUTEX_T dtoa_mutex;
static MUTEX_T pow5mult_mutex;
#endif /* ZTS */
ZEND_API int zend_shutdown_strtod(void) /* {{{ */
{
destroy_freelist();
free_p5s();
return 1;
}
/* }}} */
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
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 {
x = 1 << k;
#ifdef Omit_Private_Memory
rv = (Bigint *)MALLOC(sizeof(Bigint) + (x-1)*sizeof(ULong));
if (!rv) {
FREE_DTOA_LOCK(0);
zend_error_noreturn(E_ERROR, "Balloc() failed to allocate memory");
}
#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));
if (!rv) {
FREE_DTOA_LOCK(0);
zend_error_noreturn(E_ERROR, "Balloc() failed to allocate memory");
}
#endif
rv->k = k;
rv->maxwds = x;
}
FREE_DTOA_LOCK(0);
rv->sign = rv->wds = 0;
return rv;
}
static void
Bfree
#ifdef KR_headers
(v) Bigint *v;
#else
(Bigint *v)
#endif
{
if (v) {
if (v->k > Kmax)
FREE((void*)v);
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))
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;
#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 + carry;
z = (xi >> 16) * m + (y >> 16);
carry = z >> 16;
*x++ = (z << 16) + (y & 0xffff);
#else
y = *x * m + carry;
carry = y >> 16;
*x++ = y & 0xffff;
#endif
#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++] = 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
#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))
return 32;
}
return k;
}
static int
lo0bits
#ifdef KR_headers
(y) ULong *y;
#else
(ULong *y)
#endif
{
int k;
ULong x = *y;
if (x & 7) {
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)
return 32;
}
*y = x;
return k;
}
static Bigint *
i2b
#ifdef KR_headers
(i) int i;
#else
(int i)
#endif
{
Bigint *b;
b = Balloc(1);
b->x[0] = i;
b->wds = 1;
return 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 *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)
k++;
c = Balloc(k);
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) {
x = xa;
xc = xc0;
carry = 0;
do {
z = (*x & 0xffff) * y + (*xc & 0xffff) + carry;
carry = z >> 16;
z2 = (*x++ >> 16) * y + (*xc >> 16) + carry;
carry = z2 >> 16;
Storeinc(xc, z2, z);
}
while(x < xae);
*xc = carry;
}
if (y = *xb >> 16) {
x = xa;
xc = xc0;
carry = 0;
z2 = *xc;
do {
z = (*x & 0xffff) * y + (*xc >> 16) + carry;
carry = z >> 16;
Storeinc(xc, z, z2);
z2 = (*x++ >> 16) * y + (*xc & 0xffff) + carry;
carry = z2 >> 16;
}
while(x < xae);
*xc = z2;
}
}
#else
for(; xb < xbe; xc0++) {
if (y = *xb++) {
x = xa;
xc = xc0;
carry = 0;
do {
z = *x++ * y + *xc + carry;
carry = z >> 16;
*xc++ = z & 0xffff;
}
while(x < xae);
*xc = carry;
}
}
#endif
#endif
for(xc0 = c->x, xc = xc0 + wc; wc > 0 && !*--xc; --wc) ;
c->wds = wc;
return c;
}
#ifndef p5s
static Bigint *p5s;
#endif
static Bigint *
pow5mult
#ifdef KR_headers
(b, k) Bigint *b; int k;
#else
(Bigint *b, int k)
#endif
{
Bigint *b1, *p5, *p51;
int i;
static const int p05[3] = { 5, 25, 125 };
if ((i = k & 3))
b = multadd(b, p05[i-1], 0);
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))
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;
}
return b;
}
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;
ULong *x, *x1, *xe, z;
#ifdef Pack_32
n = k >> 5;
#else
n = k >> 4;
#endif
k1 = b->k;
n1 = n + b->wds + 1;
for(i = b->maxwds; n1 > i; i <<= 1)
k1++;
b1 = Balloc(k1);
x1 = b1->x;
for(i = 0; i < n; i++)
*x1++ = 0;
x = b->x;
xe = x + b->wds;
#ifdef Pack_32
if (k &= 0x1f) {
k1 = 32 - k;
z = 0;
do {
*x1++ = *x << k | z;
z = *x++ >> k1;
}
while(x < xe);
if ((*x1 = z))
++n1;
}
#else
if (k &= 0xf) {
k1 = 16 - k;
z = 0;
do {
*x1++ = *x << k & 0xffff | z;
z = *x++ >> k1;
}
while(x < xe);
if (*x1 = z)
++n1;
}
#endif
else do
*x1++ = *x++;
while(x < xe);
b1->wds = n1 - 1;
Bfree(b);
return b1;
}
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;
i = a->wds;
j = b->wds;
#ifdef DEBUG
if (i > 1 && !a->x[i-1])
Bug("cmp called with a->x[a->wds-1] == 0");
if (j > 1 && !b->x[j-1])
Bug("cmp called with b->x[b->wds-1] == 0");
#endif
if (i -= j)
return i;
xa0 = a->x;
xa = xa0 + j;
xb0 = b->x;
xb = xb0 + j;
for(;;) {
if (*--xa != *--xb)
return *xa < *xb ? -1 : 1;
if (xa <= xa0)
break;
}
return 0;
}
static Bigint *
diff
#ifdef KR_headers
(a, b) Bigint *a, *b;
#else
(Bigint *a, Bigint *b)
#endif
{
Bigint *c;
int i, wa, wb;
ULong *xa, *xae, *xb, *xbe, *xc;
#ifdef ULLong
ULLong borrow, y;
#else
ULong borrow, y;
#ifdef Pack_32
ULong z;
#endif
#endif
i = cmp(a,b);
if (!i) {
c = Balloc(0);
c->wds = 1;
c->x[0] = 0;
return c;
}
if (i < 0) {
c = a;
a = b;
b = c;
i = 1;
}
else
i = 0;
c = Balloc(a->k);
c->sign = i;
wa = a->wds;
xa = a->x;
xae = xa + wa;
wb = b->wds;
xb = b->x;
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 & 0x10000) >> 16;
z = (*xa++ >> 16) - (*xb++ >> 16) - borrow;
borrow = (z & 0x10000) >> 16;
Storeinc(xc, z, y);
}
while(xb < xbe);
while(xa < xae) {
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 & 0x10000) >> 16;
*xc++ = y & 0xffff;
}
while(xb < xbe);
while(xa < xae) {
y = *xa++ - borrow;
borrow = (y & 0x10000) >> 16;
*xc++ = y & 0xffff;
}
#endif
#endif
while(!*--xc)
wa--;
c->wds = wa;
return c;
}
static double
ulp
#ifdef KR_headers
(x) U *x;
#else
(U *x)
#endif
{
Long L;
U u;
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(&u) = L;
word1(&u) = 0;
#ifndef Avoid_Underflow
#ifndef Sudden_Underflow
}
else {
L = -L >> Exp_shift;
if (L < Exp_shift) {
word0(&u) = 0x80000 >> L;
word1(&u) = 0;
}
else {
word0(&u) = 0;
L -= Exp_shift;
word1(&u) = L >= 31 ? 1 : 1 << 31 - L;
}
}
#endif
#endif
return dval(&u);
}
static double
b2d
#ifdef KR_headers
(a, e) Bigint *a; int *e;
#else
(Bigint *a, int *e)
#endif
{
ULong *xa, *xa0, w, y, z;
int k;
U d;
#ifdef VAX
ULong d0, d1;
#else
#define d0 word0(&d)
#define d1 word1(&d)
#endif
xa0 = a->x;
xa = xa0 + a->wds;
y = *--xa;
#ifdef DEBUG
if (!y) Bug("zero y in b2d");
#endif
k = hi0bits(y);
*e = 32 - k;
#ifdef Pack_32
if (k < Ebits) {
d0 = Exp_1 | y >> (Ebits - k);
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;
d0 = Exp_1 | y << k - Ebits | z >> Ebits + 16 - k;
w = xa > xa0 ? *--xa : 0;
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;
d0 = Exp_1 | y << k + 16 | z << k | w >> 16 - k;
y = xa > xa0 ? *--xa : 0;
d1 = w << k + 16 | y << k;
#endif
ret_d:
#ifdef VAX
word0(&d) = d0 >> 16 | d0 << 16;
word1(&d) = d1 >> 16 | d1 << 16;
#else
#undef d0
#undef d1
#endif
return dval(&d);
}
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, k;
ULong *x, y, z;
#ifndef Sudden_Underflow
int i;
#endif
#ifdef VAX
ULong d0, d1;
d0 = word0(d) >> 16 | word0(d) << 16;
d1 = word1(d) >> 16 | word1(d) << 16;
#else
#define d0 word0(d)
#define d1 word1(d)
#endif
#ifdef Pack_32
b = Balloc(1);
#else
b = Balloc(2);
#endif
x = b->x;
z = d0 & Frac_mask;
d0 &= 0x7fffffff; /* clear sign bit, which we ignore */
#ifdef Sudden_Underflow
de = (int)(d0 >> Exp_shift);
#ifndef IBM
z |= Exp_msk11;
#endif
#else
if ((de = (int)(d0 >> Exp_shift)))
z |= Exp_msk1;
#endif
#ifdef Pack_32
if ((y = d1)) {
if ((k = lo0bits(&y))) {
x[0] = y | z << (32 - k);
z >>= k;
}
else
x[0] = y;
#ifndef Sudden_Underflow
i =
#endif
b->wds = (x[1] = z) ? 2 : 1;
}
else {
k = lo0bits(&z);
x[0] = z;
#ifndef Sudden_Underflow
i =
#endif
b->wds = 1;
k += 32;
}
#else
if (y = d1) {
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 {
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 {
x[0] = y & 0xffff;
x[1] = y >> 16;
x[2] = z & 0xffff;
x[3] = z >> 16;
i = 3;
}
}
else {
#ifdef DEBUG
if (!z)
Bug("Zero passed to d2b");
#endif
k = lo0bits(&z);
if (k >= 16) {
x[0] = z;
i = 0;
}
else {
x[0] = z & 0xffff;
x[1] = z >> 16;
i = 1;
}
k += 32;
}
while(!x[i])
--i;
b->wds = i + 1;
#endif
#ifndef Sudden_Underflow
if (de) {
#endif
#ifdef IBM
*e = (de - Bias - (P-1) << 2) + k;
*bits = 4*P + 8 - k - hi0bits(word0(d) & Frac_mask);
#else
*e = de - Bias - (P-1) + k;
*bits = P - k;
#endif
#ifndef Sudden_Underflow
}
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
#ifdef KR_headers
(a, b) Bigint *a, *b;
#else
(Bigint *a, Bigint *b)
#endif
{
U da, db;
int k, ka, kb;
dval(&da) = b2d(a, &ka);
dval(&db) = b2d(b, &kb);
#ifdef Pack_32
k = ka - kb + 32*(a->wds - b->wds);
#else
k = ka - kb + 16*(a->wds - b->wds);
#endif
#ifdef IBM
if (k > 0) {
word0(&da) += (k >> 2)*Exp_msk1;
if (k &= 3)
dval(&da) *= 1 << k;
}
else {
k = -k;
word0(&db) += (k >> 2)*Exp_msk1;
if (k &= 3)
dval(&db) *= 1 << k;
}
#else
if (k > 0)
word0(&da) += k*Exp_msk1;
else {
k = -k;
word0(&db) += k*Exp_msk1;
}
#endif
return dval(&da) / dval(&db);
}
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
#ifdef VAX
, 1e23, 1e24
#endif
};
static CONST double
#ifdef IEEE_Arith
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
bigtens[] = { 1e16, 1e32, 1e64 };
static CONST double tinytens[] = { 1e-16, 1e-32, 1e-64 };
#define n_bigtens 3
#else
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 const 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
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;
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;
ZEND_FALLTHROUGH;
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
ULong si, z, zs;
#endif
#endif
n = S->wds;
#ifdef DEBUG
/*debug*/ if (b->wds > n)
/*debug*/ Bug("oversize b in quorem");
#endif
if (b->wds < n)
return 0;
sx = S->x;
sxe = sx + --n;
bx = b->x;
bxe = bx + n;
q = *bxe / (*sxe + 1); /* ensure q <= true quotient */
#ifdef DEBUG
#ifdef NO_STRTOD_BIGCOMP
/*debug*/ if (q > 9)
#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 & 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 & 0x10000) >> 16;
*bx++ = y & 0xffff;
#endif
#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;
carry = 0;
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 & 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 & 0x10000) >> 16;
*bx++ = y & 0xffff;
#endif
#endif
}
while(sx <= sxe);
bx = b->x;
bxe = bx + n;
if (!*bxe) {
while(--bxe > bx && !*bxe)
--n;
b->wds = n;
}
}
return q;
}
#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;
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;
}
}
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;
}
#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;
volatile 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;
ZEND_FALLTHROUGH;
case '+':
if (*++s)
goto break2;
ZEND_FALLTHROUGH;
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:
if (nd < 0) {
/* overflow */
nd = DBL_DIG + 2;
}
if (nf < 0) {
/* overflow */
nf = DBL_DIG + 2;
}
e = 0;
if (c == 'e' || c == 'E') {
if (!nd && !nz && !nz0) {
goto ret0;
}
s00 = s;
esign = 0;
switch(c = *++s) {
case '-':
esign = 1;
ZEND_FALLTHROUGH;
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 = (Long) (10*(ULong)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 */
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);
}
#if !defined(MULTIPLE_THREADS) && !defined(dtoa_result)
ZEND_TLS char *dtoa_result;
#endif
static char *
#ifdef KR_headers
rv_alloc(i) int i;
#else
rv_alloc(int i)
#endif
{
int k, *r;
size_t j = sizeof(ULong);
for(k = 0;
sizeof(Bigint) - sizeof(ULong) - sizeof(int) + j <= (size_t)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. 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.
*/
ZEND_API char *zend_dtoa(double dd, int mode, int ndigits, int *decpt, bool *sign, char **rve)
{
/* 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 = 0, ilim0, ilim1,
j, j1 = 0, k, k0, k_check, leftright, m2, m5, s2, s5,
spec_case = 0, try_quick;
Long L;
#ifndef Sudden_Underflow
int denorm;
ULong x;
#endif
Bigint *b, *b1, *delta, *mlo, *mhi, *S;
U d2, eps, u;
double ds;
char *s, *s0;
#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) {
zend_freedtoa(dtoa_result);
dtoa_result = 0;
}
#endif
u.d = dd;
if (word0(&u) & Sign_bit) {
/* set sign for everything, including 0's and NaNs */
*sign = 1;
word0(&u) &= ~Sign_bit; /* clear sign bit */
}
else
*sign = 0;
#if defined(IEEE_Arith) + defined(VAX)
#ifdef IEEE_Arith
if ((word0(&u) & Exp_mask) == Exp_mask)
#else
if (word0(&u) == 0x8000)
#endif
{
/* Infinity or NaN */
*decpt = 9999;
#ifdef IEEE_Arith
if (!word1(&u) && !(word0(&u) & 0xfffff))
return nrv_alloc("Infinity", rve, 8);
#endif
return nrv_alloc("NaN", rve, 3);
}
#endif
#ifdef IBM
dval(&u) += 0; /* normalize */
#endif
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(&u, &be, &bbits);
#ifdef Sudden_Underflow
i = (int)(word0(&u) >> Exp_shift1 & (Exp_mask>>Exp_shift1));
#else
if ((i = (int)(word0(&u) >> Exp_shift1 & (Exp_mask>>Exp_shift1)))) {
#endif
dval(&d2) = dval(&u);
word0(&d2) &= Frac_mask1;
word0(&d2) |= Exp_11;
#ifdef IBM
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))
* 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 );
*
* We want k to be too large rather than too small.
* The error in the first-order Taylor series approximation
* is in our favor, so we just round up the constant enough
* to compensate for any error in the multiplication of
* (i - Bias) by 0.301029995663981; since |i - Bias| <= 1077,
* and 1077 * 0.30103 * 2^-52 ~=~ 7.2e-14,
* adding 1e-13 to the constant term more than suffices.
* Hence we adjust the constant term to 0.1760912590558.
* (We could get a more accurate k by invoking log10,
* but this is probably not worthwhile.)
*/
i -= Bias;
#ifdef IBM
i <<= 2;
i += j;
#endif
#ifndef Sudden_Underflow
denorm = 0;
}
else {
/* d is denormalized */
i = bbits + be + (Bias + (P-1) - 1);
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 = (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_check = 1;
if (k >= 0 && k <= Ten_pmax) {
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:
i = 18;
ndigits = 0;
break;
case 2:
leftright = 0;
ZEND_FALLTHROUGH;
case 4:
if (ndigits <= 0)
ndigits = 1;
ilim = ilim1 = i = ndigits;
break;
case 3:
leftright = 0;
ZEND_FALLTHROUGH;
case 5:
i = ndigits + k + 1;
ilim = i;
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;
dval(&d2) = dval(&u);
k0 = k;
ilim0 = ilim;
ieps = 2; /* conservative */
if (k > 0) {
ds = tens[k&0xf];
j = k >> 4;
if (j & Bletch) {
/* prevent overflows */
j &= Bletch - 1;
dval(&u) /= bigtens[n_bigtens-1];
ieps++;
}
for(; j; j >>= 1, i++)
if (j & 1) {
ieps++;
ds *= bigtens[i];
}
dval(&u) /= ds;
}
else if ((j1 = -k)) {
dval(&u) *= tens[j1 & 0xf];
for(j = j1 >> 4; j; j >>= 1, i++)
if (j & 1) {
ieps++;
dval(&u) *= bigtens[i];
}
}
if (k_check && dval(&u) < 1. && ilim > 0) {
if (ilim1 <= 0)
goto fast_failed;
ilim = ilim1;
k--;
dval(&u) *= 10.;
ieps++;
}
dval(&eps) = ieps*dval(&u) + 7.;
word0(&eps) -= (P-1)*Exp_msk1;
if (ilim == 0) {
S = mhi = 0;
dval(&u) -= 5.;
if (dval(&u) > dval(&eps))
goto one_digit;
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.
*/
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 = dval(&u);
dval(&u) -= L;
*s++ = '0' + (int)L;
if (1. - dval(&u) < dval(&eps))
goto bump_up;
if (dval(&u) < dval(&eps))
goto ret1;
if (++i >= ilim)
break;
dval(&eps) *= 10.;
dval(&u) *= 10.;
}
}
else {
#endif
/* Generate ilim digits, then fix them up. */
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 (dval(&u) > 0.5 + dval(&eps))
goto bump_up;
else if (dval(&u) < 0.5 - dval(&eps)) {
while(*--s == '0');
s++;
goto ret1;
}
break;
}
}
#ifndef No_leftright
}
#endif
fast_failed:
s = s0;
dval(&u) = dval(&d2);
k = k0;
ilim = ilim0;
}
/* Do we have a "small" integer? */
if (be >= 0 && k <= Int_max) {
/* Yes. */
ds = tens[k];
if (ndigits < 0 && ilim <= 0) {
S = mhi = 0;
if (ilim < 0 || dval(&u) <= 5*ds)
goto no_digits;
goto one_digit;
}
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 (dval(&u) < 0) {
L--;
dval(&u) += ds;
}
#endif
*s++ = '0' + (int)L;
if (!dval(&u)) {
#ifdef SET_INEXACT
inexact = 0;
#endif
break;
}
if (i == ilim) {
#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;
}
}
goto ret1;
}
m2 = b2;
m5 = b5;
mhi = mlo = 0;
if (leftright) {
i =
#ifndef Sudden_Underflow
denorm ? be + (Bias + (P-1) - 1 + 1) :
#endif
#ifdef IBM
1 + 4*P - 3 - bbits + ((bbits + be - 1) & 3);
#else
1 + P - bbits;
#endif
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) {
mhi = pow5mult(mhi, m5);
b1 = mult(mhi, b);
Bfree(b);
b = b1;
}
if ((j = b5 - m5))
b = pow5mult(b, j);
}
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. */
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(&u) & (Exp_mask & ~Exp_msk1)
#endif
) {
/* The special case */
b2 += Log2P;
s2 += Log2P;
spec_case = 1;
}
}
/* Arrange for convenient computation of quotients:
* shift left if necessary so divisor has 4 leading 0 bits.
*
* Perhaps we should just compute leading 28 bits of S once
* and for all and pass them and a shift to quorem, so it
* can do shifts and ORs to compute the numerator for q.
*/
i = dshift(S, s2);
b2 += i;
m2 += i;
s2 += i;
if (b2 > 0)
b = lshift(b, b2);
if (s2 > 0)
S = lshift(S, s2);
if (k_check) {
if (cmp(b,S) < 0) {
k--;
b = multadd(b, 10, 0); /* we botched the k estimate */
if (leftright)
mhi = multadd(mhi, 10, 0);
ilim = ilim1;
}
}
if (ilim <= 0 && (mode == 3 || mode == 5)) {
if (ilim < 0 || cmp(b,S = multadd(S,5,0)) <= 0) {
/* no digits, fcvt style */
no_digits:
k = -1 - ndigits;
goto ret;
}
one_digit:
*s++ = '1';
k++;
goto ret;
}
if (leftright) {
if (m2 > 0)
mhi = lshift(mhi, m2);
/* Compute mlo -- check for special case
* that d is a normalized power of 2.
*/
mlo = mhi;
if (spec_case) {
mhi = Balloc(mhi->k);
Bcopy(mhi, mlo);
mhi = lshift(mhi, Log2P);
}
for(i = 1;;i++) {
dig = quorem(b,S) + '0';
/* Do we yet have the shortest decimal string
* that will round to d?
*/
j = cmp(b, mlo);
delta = diff(S, mhi);
j1 = delta->sign ? 1 : cmp(b, delta);
Bfree(delta);
#ifndef ROUND_BIASED
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 != 1
#ifndef ROUND_BIASED
&& !(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);
#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:
*s++ = '9';
goto roundoff;
}
*s++ = dig + 1;
goto ret;
}
#ifdef Honor_FLT_ROUNDS
keep_dig:
#endif
*s++ = dig;
if (i == ilim)
break;
b = multadd(b, 10, 0);
if (mlo == mhi)
mlo = mhi = multadd(mhi, 10, 0);
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);
#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:
Bfree(S);
if (mhi) {
if (mlo && mlo != mhi)
Bfree(mlo);
Bfree(mhi);
}
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);
*s = 0;
*decpt = k + 1;
if (rve)
*rve = s;
return s0;
}
ZEND_API double zend_hex_strtod(const char *str, const char **endptr)
{
const char *s = str;
char c;
int any = 0;
double value = 0;
if (*s == '0' && (s[1] == 'x' || s[1] == 'X')) {
s += 2;
}
while ((c = *s++)) {
if (c >= '0' && c <= '9') {
c -= '0';
} else if (c >= 'A' && c <= 'F') {
c -= 'A' - 10;
} else if (c >= 'a' && c <= 'f') {
c -= 'a' - 10;
} else {
break;
}
any = 1;
value = value * 16 + c;
}
if (endptr != NULL) {
*endptr = any ? s - 1 : str;
}
return value;
}
ZEND_API double zend_oct_strtod(const char *str, const char **endptr)
{
const char *s = str;
char c;
double value = 0;
int any = 0;
if (str[0] == '\0') {
if (endptr != NULL) {
*endptr = str;
}
return 0.0;
}
while ((c = *s++)) {
if (c < '0' || c > '7') {
/* break and return the current value if the number is not well-formed
* that's what Linux strtol() does
*/
break;
}
value = value * 8 + c - '0';
any = 1;
}
if (endptr != NULL) {
*endptr = any ? s - 1 : str;
}
return value;
}
ZEND_API double zend_bin_strtod(const char *str, const char **endptr)
{
const char *s = str;
char c;
double value = 0;
int any = 0;
if ('0' == *s && ('b' == s[1] || 'B' == s[1])) {
s += 2;
}
while ((c = *s++)) {
/*
* Verify the validity of the current character as a base-2 digit. In
* the event that an invalid digit is found, halt the conversion and
* return the portion which has been converted thus far.
*/
if ('0' == c || '1' == c)
value = value * 2 + c - '0';
else
break;
any = 1;
}
/*
* As with many strtoX implementations, should the subject sequence be
* empty or not well-formed, no conversion is performed and the original
* value of str is stored in *endptr, provided that endptr is not a null
* pointer.
*/
if (NULL != endptr) {
*endptr = (char *)(any ? s - 1 : str);
}
return value;
}
ZEND_API char *zend_gcvt(double value, int ndigit, char dec_point, char exponent, char *buf)
{
char *digits, *dst, *src;
int i, decpt;
bool sign;
int mode = ndigit >= 0 ? 2 : 0;
if (mode == 0) {
ndigit = 17;
}
digits = zend_dtoa(value, mode, ndigit, &decpt, &sign, NULL);
if (decpt == 9999) {
/*
* Infinity or NaN, convert to inf or nan with sign.
* We assume the buffer is at least ndigit long.
*/
snprintf(buf, ndigit + 1, "%s%s", (sign && *digits == 'I') ? "-" : "", *digits == 'I' ? "INF" : "NAN");
zend_freedtoa(digits);
return (buf);
}
dst = buf;
if (sign) {
*dst++ = '-';
}
if ((decpt >= 0 && decpt > ndigit) || decpt < -3) { /* use E-style */
/* exponential format (e.g. 1.2345e+13) */
if (--decpt < 0) {
sign = 1;
decpt = -decpt;
} else {
sign = 0;
}
src = digits;
*dst++ = *src++;
*dst++ = dec_point;
if (*src == '\0') {
*dst++ = '0';
} else {
do {
*dst++ = *src++;
} while (*src != '\0');
}
*dst++ = exponent;
if (sign) {
*dst++ = '-';
} else {
*dst++ = '+';
}
if (decpt < 10) {
*dst++ = '0' + decpt;
*dst = '\0';
} else {
/* XXX - optimize */
int n;
for (n = decpt, i = 0; (n /= 10) != 0; i++);
dst[i + 1] = '\0';
while (decpt != 0) {
dst[i--] = '0' + decpt % 10;
decpt /= 10;
}
}
} else if (decpt < 0) {
/* standard format 0. */
*dst++ = '0'; /* zero before decimal point */
*dst++ = dec_point;
do {
*dst++ = '0';
} while (++decpt < 0);
src = digits;
while (*src != '\0') {
*dst++ = *src++;
}
*dst = '\0';
} else {
/* standard format */
for (i = 0, src = digits; i < decpt; i++) {
if (*src != '\0') {
*dst++ = *src++;
} else {
*dst++ = '0';
}
}
if (*src != '\0') {
if (src == digits) {
*dst++ = '0'; /* zero before decimal point */
}
*dst++ = dec_point;
for (i = decpt; digits[i] != '\0'; i++) {
*dst++ = digits[i];
}
}
*dst = '\0';
}
zend_freedtoa(digits);
return (buf);
}
static void destroy_freelist(void)
{
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)
}
static void free_p5s(void)
{
Bigint **listp, *tmp;
ACQUIRE_DTOA_LOCK(1)
listp = &p5s;
while ((tmp = *listp) != NULL) {
*listp = tmp->next;
FREE(tmp);
}
p5s = NULL;
FREE_DTOA_LOCK(1)
}
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