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authorwchang0222%aol.com <devnull@localhost>2004-04-17 00:31:38 +0000
committerwchang0222%aol.com <devnull@localhost>2004-04-17 00:31:38 +0000
commit86a38a05ee685993cccbf9a4f458d36351b59aa9 (patch)
tree0f62a209531a8144a2695a42ffe3006a7f68eb4c
parent5a00fea94ac9469fdc5afea06bd8eb3d67c25ef7 (diff)
downloadnspr-hg-86a38a05ee685993cccbf9a4f458d36351b59aa9.tar.gz
Bugzilla bug 108305: upgraded to the Mon Apr 12 00:44:22 MDT 2004 version
of dtoa.c. r=darin. Tag: NSPRPUB_PRE_4_2_CLIENT_BRANCH
-rw-r--r--pr/src/misc/prdtoa.c2573
1 files changed, 1726 insertions, 847 deletions
diff --git a/pr/src/misc/prdtoa.c b/pr/src/misc/prdtoa.c
index fad511ee..4f70aabe 100644
--- a/pr/src/misc/prdtoa.c
+++ b/pr/src/misc/prdtoa.c
@@ -34,11 +34,46 @@
#include "primpl.h"
+#define MULTIPLE_THREADS
+#define ACQUIRE_DTOA_LOCK(n) PR_Lock(dtoa_lock[n])
+#define FREE_DTOA_LOCK(n) PR_Unlock(dtoa_lock[n])
+
+static PRLock *dtoa_lock[2];
+
+void _PR_InitDtoa(void)
+{
+ dtoa_lock[0] = PR_NewLock();
+ dtoa_lock[1] = PR_NewLock();
+}
+
+void _PR_CleanupDtoa(void)
+{
+ PR_DestroyLock(dtoa_lock[0]);
+ dtoa_lock[0] = NULL;
+ PR_DestroyLock(dtoa_lock[1]);
+ dtoa_lock[1] = NULL;
+
+ /* FIXME: deal with freelist and p5s. */
+}
+
+#if defined(__arm) || defined(__arm__) || defined(__arm26__) \
+ || defined(__arm32__)
+#define IEEE_ARM
+#elif defined(IS_LITTLE_ENDIAN)
+#define IEEE_8087
+#else
+#define IEEE_MC68k
+#endif
+
+#define Long PRInt32
+#define ULong PRUint32
+#define NO_LONG_LONG
+
/****************************************************************
*
* 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
@@ -47,30 +82,35 @@
* documentation for such software.
*
* THIS SOFTWARE IS BEING PROVIDED "AS IS", WITHOUT ANY EXPRESS OR IMPLIED
- * WARRANTY. IN PARTICULAR, NEITHER THE AUTHOR NOR AT&T MAKES ANY
+ * 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
- 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.
*/
-/* PR_strtod for IEEE-, VAX-, and IBM-arithmetic machines.
+/* strtod for IEEE-, VAX-, and IBM-arithmetic machines.
*
- * This PR_strtod returns a nearest machine number to the input decimal
- * string (or sets the error code to PR_RANGE_ERROR). With IEEE
- * arithmetic, ties are broken by the IEEE round-even rule. Otherwise
- * ties are broken by biased rounding (add half and chop).
+ * 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].
+ * Inspired loosely by William D. Clinger's paper "How to Read Floating
+ * Point Numbers Accurately" [Proc. ACM SIGPLAN '90, pp. 92-101].
*
* Modifications:
*
@@ -99,25 +139,31 @@
* significant byte has the lowest address.
* #define IEEE_ARM for IEEE-arithmetic machines where the two words
* in a double are stored in big endian order but the two shorts
- * in a word are still stored in little endian order.
+ * in a word are still stored in little endian order.
* #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 PR_dtoa.
- * #define Check_FLT_ROUNDS if FLT_ROUNDS can assume the values 2 or 3.
+ * computation of dtoa.
+ * #define Honor_FLT_ROUNDS if FLT_ROUNDS can assume the values 2 or 3
+ * and strtod and dtoa should round accordingly.
+ * #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 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,
@@ -126,74 +172,136 @@
* 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.
+ * #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 INFNAN_CHECK on IEEE systems to cause strtod to check 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 YES_ALIAS to permit aliasing certain double values with
- * arrays of unsigned Longs. This leads to slightly better code with
+ * arrays of ULongs. This leads to slightly better code with
* some compilers and was always used prior to 19990916, but it
* is not strictly legal and can cause trouble with aggressively
* optimizing compilers (e.g., gcc 2.95.1 under -O2).
+ * #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.
*/
-#if defined(__arm) || defined(__arm__) || defined(__arm26__) \
- || defined(__arm32__)
-#define IEEE_ARM
-#elif defined(IS_LITTLE_ENDIAN)
-#define IEEE_8087
-#else
-#define IEEE_MC68k
-#endif
#ifndef Long
-#if PR_BYTES_PER_LONG == 4
#define Long long
-#elif PR_BYTES_PER_INT == 4
-#define Long int
-#else
-#error "No suitable type for Long"
#endif
+#ifndef ULong
+typedef unsigned Long ULong;
#endif
-#ifdef DEBUG_DTOA
+#ifdef DEBUG
#include "stdio.h"
#define Bug(x) {fprintf(stderr, "%s\n", x); exit(1);}
-#else
-#define Bug(x)
#endif
#include "stdlib.h"
#include "string.h"
+#ifdef USE_LOCALE
+#include "locale.h"
+#endif
+
#ifdef MALLOC
+#ifdef KR_headers
+extern char *MALLOC();
+#else
extern void *MALLOC(size_t);
+#endif
#else
-#define MALLOC PR_MALLOC
+#define MALLOC malloc
#endif
-#ifdef Bad_float_h
-#undef __STDC__
+#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_ARITHMETIC
+#define IEEE_Arith
#endif
#ifdef IEEE_8087
-#define IEEE_ARITHMETIC
+#define IEEE_Arith
#endif
#ifdef IEEE_ARM
-#define IEEE_ARITHMETIC
+#define IEEE_Arith
#endif
-#ifdef IEEE_ARITHMETIC
+#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
-#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
@@ -202,14 +310,14 @@ 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"
/*
* MacOS 10.2 defines the macro FLT_ROUNDS to an internal function
@@ -221,35 +329,38 @@ extern void *MALLOC(size_t);
#undef FLT_ROUNDS
#define FLT_ROUNDS 1
#endif
-#endif
+#endif /* Bad_float_h */
+
#ifndef __MATH_H__
#include "math.h"
#endif
-#ifndef CONST
-#define CONST const
+#ifdef __cplusplus
+extern "C" {
#endif
-#ifdef Unsigned_Shifts
-#define Sign_Extend(a,b) if (b < 0) a |= 0xffff0000;
+#ifndef CONST
+#ifdef KR_headers
+#define CONST /* blank */
#else
-#define Sign_Extend(a,b) /*no-op*/
+#define CONST const
+#endif
#endif
-#if defined(IEEE_8087) + defined(IEEE_MC68k) + defined(IEEE_ARM) + defined(VAX) + defined(IBM) != 1
+#if defined(IEEE_8087) + defined(IEEE_MC68k) + defined(IEEE_ARM) + defined(VAX) + defined(IBM) != 1
Exactly one of IEEE_8087, IEEE_MC68k, IEEE_ARM, VAX, or IBM should be defined.
#endif
-typedef union { double d; unsigned Long L[2]; } U;
+typedef union { double d; ULong L[2]; } U;
#ifdef YES_ALIAS
#define dval(x) x
#ifdef IEEE_8087
-#define word0(x) ((unsigned Long *)&x)[1]
-#define word1(x) ((unsigned Long *)&x)[0]
+#define word0(x) ((ULong *)&x)[1]
+#define word1(x) ((ULong *)&x)[0]
#else
-#define word0(x) ((unsigned Long *)&x)[0]
-#define word1(x) ((unsigned Long *)&x)[1]
+#define word0(x) ((ULong *)&x)[0]
+#define word1(x) ((ULong *)&x)[1]
#endif
#else
#ifdef IEEE_8087
@@ -280,7 +391,7 @@ typedef union { double d; unsigned Long L[2]; } U;
/* Quick_max = floor((P-1)*log(FLT_RADIX)/log(10) - 1) */
/* Int_max = floor(P*log(FLT_RADIX)/log(10) - 1) */
-#if defined(IEEE_8087) + defined(IEEE_MC68k) + defined(IEEE_ARM)
+#ifdef IEEE_Arith
#define Exp_shift 20
#define Exp_shift1 20
#define Exp_msk1 0x100000
@@ -288,7 +399,6 @@ typedef union { double d; unsigned Long L[2]; } U;
#define Exp_mask 0x7ff00000
#define P 53
#define Bias 1023
-#define IEEE_Arith
#define Emin (-1022)
#define Exp_1 0x3ff00000
#define Exp_11 0x3ff00000
@@ -306,11 +416,38 @@ typedef union { double d; unsigned Long L[2]; } U;
#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
+#define Rounding rounding
+#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
@@ -335,6 +472,8 @@ typedef union { double d; unsigned Long L[2]; } U;
#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
@@ -358,8 +497,8 @@ typedef union { double d; unsigned Long L[2]; } U;
#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
@@ -368,7 +507,11 @@ typedef union { double d; unsigned Long L[2]; } U;
#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
@@ -377,115 +520,179 @@ 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
+#ifndef Pack_32
+#define Pack_32
+#endif
+
+#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.
*/
-#ifndef Pack_32
-#define Pack_32
#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 15
-/*
- * Note: if you ever change struct Bigint, make sure that the
- * definition of the Bcopy(x,y) macro is still correct.
- */
-struct Bigint {
+ struct
+Bigint {
struct Bigint *next;
- PRInt32 k, maxwds, sign, wds;
- unsigned Long x[1];
-};
-
-typedef struct Bigint Bigint;
+ int k, maxwds, sign, wds;
+ ULong x[1];
+ };
-static Bigint *freelist[Kmax+1];
+ typedef struct Bigint Bigint;
-static PRLock *freelist_lock;
+ static Bigint *freelist[Kmax+1];
-static Bigint *Balloc(PRInt32 k)
+ static Bigint *
+Balloc
+#ifdef KR_headers
+ (k) int k;
+#else
+ (int k)
+#endif
{
- PRInt32 x;
+ int x;
Bigint *rv;
+#ifndef Omit_Private_Memory
+ unsigned int len;
+#endif
- PR_Lock(freelist_lock);
- if ((rv = freelist[k]) != NULL) {
+ ACQUIRE_DTOA_LOCK(0);
+ if (rv = freelist[k]) {
freelist[k] = rv->next;
- }
- PR_Unlock(freelist_lock);
- if (rv == NULL) {
+ }
+ else {
x = 1 << k;
- rv = (Bigint *)MALLOC(sizeof(Bigint) + (x-1)*sizeof(Long));
+#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 (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;
- }
+ }
+ 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) {
- PR_Lock(freelist_lock);
+ ACQUIRE_DTOA_LOCK(0);
v->next = freelist[v->k];
freelist[v->k] = v;
- PR_Unlock(freelist_lock);
+ FREE_DTOA_LOCK(0);
+ }
}
-}
-/*
- * The definition of the Bcopy macro is highly dependent on the
- * ordering of members in struct Bigint.
- */
#define Bcopy(x,y) memcpy((char *)&x->sign, (char *)&y->sign, \
- y->wds*sizeof(Long) + 2*sizeof(PRInt32))
+y->wds*sizeof(Long) + 2*sizeof(int))
-static Bigint *multadd(Bigint *b, PRInt32 m, PRInt32 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
{
- PRInt32 i, wds;
- unsigned Long *x, y;
+ int i, wds;
+#ifdef ULLong
+ ULong *x;
+ ULLong carry, y;
+#else
+ ULong carry, *x, y;
#ifdef Pack_32
- unsigned Long xi, z;
+ 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 = (PRInt32)(z >> 16);
+ carry = z >> 16;
*x++ = (z << 16) + (y & 0xffff);
#else
- y = *x * m + a;
- a = (PRInt32)(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(CONST char *s, PRInt32 nd0, PRInt32 nd, unsigned Long y9)
+ static Bigint *
+s2b
+#ifdef KR_headers
+ (s, nd0, nd, y9) CONST char *s; int nd0, nd; ULong y9;
+#else
+ (CONST char *s, int nd0, int nd, ULong y9)
+#endif
{
Bigint *b;
- PRInt32 i, k;
+ int i, k;
Long x, y;
x = (nd + 8) / 9;
@@ -504,48 +711,60 @@ static Bigint *s2b(CONST char *s, PRInt32 nd0, PRInt32 nd, unsigned Long y9)
if (9 < nd0) {
s += 9;
do b = multadd(b, 10, *s++ - '0');
- while(++i < nd0);
+ while(++i < nd0);
s++;
- }
+ }
else
s += 10;
for(; i < nd; i++)
b = multadd(b, 10, *s++ - '0');
return b;
-}
+ }
-static PRInt32 hi0bits(register unsigned Long x)
+ static int
+hi0bits
+#ifdef KR_headers
+ (x) register ULong x;
+#else
+ (register ULong x)
+#endif
{
- register PRInt32 k = 0;
+ register 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 PRInt32 lo0bits(unsigned Long *y)
+ static int
+lo0bits
+#ifdef KR_headers
+ (y) ULong *y;
+#else
+ (ULong *y)
+#endif
{
- register PRInt32 k;
- register unsigned Long x = *y;
+ register int k;
+ register ULong x = *y;
if (x & 7) {
if (x & 1)
@@ -553,38 +772,44 @@ static PRInt32 lo0bits(unsigned Long *y)
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(PRInt32 i)
+ static Bigint *
+i2b
+#ifdef KR_headers
+ (i) int i;
+#else
+ (int i)
+#endif
{
Bigint *b;
@@ -592,25 +817,34 @@ static Bigint *i2b(PRInt32 i)
b->x[0] = i;
b->wds = 1;
return b;
-}
+ }
-static Bigint *mult(CONST Bigint *a, CONST Bigint *b)
+ static Bigint *
+mult
+#ifdef KR_headers
+ (a, b) Bigint *a, *b;
+#else
+ (Bigint *a, Bigint *b)
+#endif
{
- CONST Bigint *t;
Bigint *c;
- PRInt32 k, wa, wb, wc;
- unsigned Long carry, y, z;
- unsigned Long *xc, *xc0, *xce;
- CONST unsigned Long *x, *xa, *xae, *xb, *xbe;
+ 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
- unsigned Long z2;
+ ULong z2;
+#endif
#endif
if (a->wds < b->wds) {
- t = a;
+ c = a;
a = b;
- b = t;
- }
+ b = c;
+ }
k = a->k;
wa = a->wds;
wb = b->wds;
@@ -618,16 +852,32 @@ static Bigint *mult(CONST Bigint *a, CONST Bigint *b)
if (wc > a->maxwds)
k++;
c = Balloc(k);
- for(xc = c->x, xce = xc + wc; xc < xce; xc++)
- *xc = 0;
+ 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) != 0) {
+ if (y = *xb & 0xffff) {
x = xa;
xc = xc0;
carry = 0;
@@ -637,11 +887,11 @@ static Bigint *mult(CONST Bigint *a, CONST 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) != 0) {
+ }
+ if (y = *xb >> 16) {
x = xa;
xc = xc0;
carry = 0;
@@ -652,11 +902,11 @@ static Bigint *mult(CONST Bigint *a, CONST 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++) {
@@ -667,99 +917,88 @@ static Bigint *mult(CONST Bigint *a, CONST 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;
-}
-
-/*
- * 'p5s' points to a linked list of Bigints that are powers of 5.
- * This list grows on demand, and it can only grow: it won't change
- * in any other way. So if we read 'p5s' or the 'next' field of
- * some Bigint on the list, and it is not NULL, we know it won't
- * change to NULL or some other value. Only when the value of
- * 'p5s' or 'next' is NULL do we need to acquire the lock and add
- * a new Bigint to the list.
- */
-
-static Bigint *p5s;
+ }
-static PRLock *p5s_lock;
+ static Bigint *p5s;
-static Bigint *pow5mult(Bigint *b, PRInt32 k)
+ static Bigint *
+pow5mult
+#ifdef KR_headers
+ (b, k) Bigint *b; int k;
+#else
+ (Bigint *b, int k)
+#endif
{
Bigint *b1, *p5, *p51;
- PRInt32 i;
- static CONST PRInt32 p05[3] = { 5, 25, 125 };
+ int i;
+ static int p05[3] = { 5, 25, 125 };
- if ((i = k & 3) != 0)
+ if (i = k & 3)
b = multadd(b, p05[i-1], 0);
if (!(k >>= 2))
return b;
if (!(p5 = p5s)) {
- /*
- * We take great care to not call i2b() and Bfree()
- * while holding the lock.
- */
- Bigint *wasted_effort = NULL;
- p5 = i2b(625);
- /* lock and check again */
- PR_Lock(p5s_lock);
- if (!p5s) {
- /* first time */
- p5s = p5;
+ /* first time */
+#ifdef MULTIPLE_THREADS
+ ACQUIRE_DTOA_LOCK(1);
+ if (!(p5 = p5s)) {
+ p5 = p5s = i2b(625);
p5->next = 0;
- } else {
- /* some other thread just beat us */
- wasted_effort = p5;
- p5 = p5s;
- }
- PR_Unlock(p5s_lock);
- if (wasted_effort) {
- Bfree(wasted_effort);
+ }
+ 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)) {
- Bigint *wasted_effort = NULL;
- p51 = mult(p5, p5);
- PR_Lock(p5s_lock);
- if (!p5->next) {
- p5->next = p51;
+#ifdef MULTIPLE_THREADS
+ ACQUIRE_DTOA_LOCK(1);
+ if (!(p51 = p5->next)) {
+ p51 = p5->next = mult(p5,p5);
p51->next = 0;
- } else {
- wasted_effort = p51;
- p51 = p5->next;
- }
- PR_Unlock(p5s_lock);
- if (wasted_effort) {
- Bfree(wasted_effort);
+ }
+ FREE_DTOA_LOCK(1);
+#else
+ p51 = p5->next = mult(p5,p5);
+ p51->next = 0;
+#endif
}
- }
p5 = p51;
- }
+ }
return b;
-}
+ }
-static Bigint *lshift(Bigint *b, PRInt32 k)
+ static Bigint *
+lshift
+#ifdef KR_headers
+ (b, k) Bigint *b; int k;
+#else
+ (Bigint *b, int k)
+#endif
{
- PRInt32 i, k1, n, n1;
+ int i, k1, n, n1;
Bigint *b1;
- unsigned Long *x, *x1, *xe, z;
+ ULong *x, *x1, *xe, z;
#ifdef Pack_32
n = k >> 5;
@@ -783,11 +1022,11 @@ static Bigint *lshift(Bigint *b, PRInt32 k)
do {
*x1++ = *x << k | z;
z = *x++ >> k1;
- }
- while(x < xe);
- if ((*x1 = z) != 0)
+ }
+ while(x < xe);
+ if (*x1 = z)
++n1;
- }
+ }
#else
if (k &= 0xf) {
k1 = 16 - k;
@@ -795,31 +1034,37 @@ static Bigint *lshift(Bigint *b, PRInt32 k)
do {
*x1++ = *x << k & 0xffff | z;
z = *x++ >> k1;
- }
- while(x < xe);
- if ((*x1 = z) != 0)
+ }
+ 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 PRInt32 cmp(Bigint *a, Bigint *b)
+ static int
+cmp
+#ifdef KR_headers
+ (a, b) Bigint *a, *b;
+#else
+ (Bigint *a, Bigint *b)
+#endif
{
- unsigned Long *xa, *xa0, *xb, *xb0;
- PRInt32 i, j;
+ ULong *xa, *xa0, *xb, *xb0;
+ int i, j;
i = a->wds;
j = b->wds;
-#ifdef DEBUG_DTOA
- if ((i > 1 && !a->x[i-1]))
+#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]))
+ if (j > 1 && !b->x[j-1])
Bug("cmp called with b->x[b->wds-1] == 0");
#endif
if (i -= j)
@@ -833,18 +1078,28 @@ static PRInt32 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;
- PRInt32 i, wa, wb;
- Long borrow, y; /* We need signed shifts here. */
- unsigned Long *xa, *xae, *xb, *xbe, *xc;
+ int i, wa, wb;
+ 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);
@@ -853,13 +1108,13 @@ 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
i = 0;
c = Balloc(a->k);
@@ -872,92 +1127,110 @@ 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 = (long)((*xa & 0xffff) - (*xb & 0xffff) + borrow);
- borrow = y >> 16;
- Sign_Extend(borrow, y);
- z = (long)((*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 = (long)((*xa & 0xffff) + borrow);
- borrow = y >> 16;
- Sign_Extend(borrow, y);
- z = (long)((*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
#endif
while(!*--xc)
wa--;
c->wds = wa;
return c;
-}
+ }
-static double ulp(double x)
+ static double
+ulp
+#ifdef KR_headers
+ (x) double x;
+#else
+ (double x)
+#endif
{
register Long L;
double a;
- L = (long)((word0(x) & Exp_mask) - (P-1)*Exp_msk1);
+ 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;
+#ifndef Avoid_Underflow
#ifndef Sudden_Underflow
- }
+ }
else {
L = -L >> Exp_shift;
if (L < Exp_shift) {
word0(a) = 0x80000 >> L;
word1(a) = 0;
- }
+ }
else {
word0(a) = 0;
L -= Exp_shift;
- word1(a) = L >= 31 ? 1 : 1 << (31 - L);
+ word1(a) = L >= 31 ? 1 : 1 << 31 - L;
+ }
}
- }
+#endif
#endif
return dval(a);
-}
+ }
-static double
+ static double
b2d
#ifdef KR_headers
-(a, e) Bigint *a; PRInt32 *e;
+ (a, e) Bigint *a; int *e;
#else
-(Bigint *a, PRInt32 *e)
+ (Bigint *a, int *e)
#endif
{
- unsigned Long *xa, *xa0, w, y, z;
- PRInt32 k;
+ ULong *xa, *xa0, w, y, z;
+ int k;
double d;
#ifdef VAX
- unsigned Long d0, d1;
+ ULong d0, d1;
#else
#define d0 word0(d)
#define d1 word1(d)
@@ -966,28 +1239,28 @@ b2d
xa0 = a->x;
xa = xa0 + a->wds;
y = *--xa;
-#ifdef DEBUG_DTOA
+#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);
+ d0 = Exp_1 | y >> Ebits - k;
w = xa > xa0 ? *--xa : 0;
- d1 = y << (32 - Ebits + k) | w >> (Ebits - k);
+ 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);
+ d0 = Exp_1 | y << k | z >> 32 - k;
y = xa > xa0 ? *--xa : 0;
- d1 = z << k | y >> (32 - k);
- }
+ d1 = z << k | y >> 32 - k;
+ }
else {
d0 = Exp_1 | y;
d1 = z;
- }
+ }
#else
if (k < Ebits + 16) {
z = xa > xa0 ? *--xa : 0;
@@ -996,7 +1269,7 @@ 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;
@@ -1004,7 +1277,7 @@ 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;
@@ -1013,21 +1286,24 @@ ret_d:
#undef d1
#endif
return dval(d);
-}
+ }
-static Bigint *
+ static Bigint *
d2b
#ifdef KR_headers
-(d, e, bits) double d; PRInt32 *e, *bits;
+ (d, e, bits) double d; int *e, *bits;
#else
-(double d, PRInt32 *e, PRInt32 *bits)
+ (double d, int *e, int *bits)
#endif
{
Bigint *b;
- PRInt32 de, i, k;
- unsigned Long *x, y, z;
+ int de, k;
+ ULong *x, y, z;
+#ifndef Sudden_Underflow
+ int i;
+#endif
#ifdef VAX
- unsigned Long d0, d1;
+ ULong d0, d1;
d0 = word0(d) >> 16 | word0(d) << 16;
d1 = word1(d) >> 16 | word1(d) << 16;
#else
@@ -1045,60 +1321,66 @@ d2b
z = d0 & Frac_mask;
d0 &= 0x7fffffff; /* clear sign bit, which we ignore */
#ifdef Sudden_Underflow
- de = (PRInt32)(d0 >> Exp_shift);
+ de = (int)(d0 >> Exp_shift);
#ifndef IBM
z |= Exp_msk11;
#endif
#else
- if ((de = (PRInt32)(d0 >> Exp_shift)) != 0)
+ if (de = (int)(d0 >> Exp_shift))
z |= Exp_msk1;
#endif
#ifdef Pack_32
- if ((y = d1) != 0) {
- if ((k = lo0bits(&y)) != 0) {
- x[0] = y | z << (32 - k);
+ if (y = d1) {
+ if (k = lo0bits(&y)) {
+ x[0] = y | z << 32 - k;
z >>= k;
- }
+ }
else
x[0] = y;
- i = b->wds = (x[1] = z) ? 2 : 1;
- }
+#ifndef Sudden_Underflow
+ i =
+#endif
+ b->wds = (x[1] = z) ? 2 : 1;
+ }
else {
-#ifdef DEBUG_DTOA
+#ifdef DEBUG
if (!z)
Bug("Zero passed to d2b");
#endif
k = lo0bits(&z);
x[0] = z;
- i = b->wds = 1;
+#ifndef Sudden_Underflow
+ i =
+#endif
+ b->wds = 1;
k += 32;
- }
+ }
#else
- if ((y = d1) != 0) {
- if ((k = lo0bits(&y)) != 0)
+ 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_DTOA
+#ifdef DEBUG
if (!z)
Bug("Zero passed to d2b");
#endif
@@ -1106,14 +1388,14 @@ d2b
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;
@@ -1129,7 +1411,7 @@ d2b
*bits = P - k;
#endif
#ifndef Sudden_Underflow
- }
+ }
else {
*e = de - Bias - (P-1) + 1 + k;
#ifdef Pack_32
@@ -1137,23 +1419,23 @@ d2b
#else
*bits = (i+2)*16 - hi0bits(x[i]);
#endif
- }
+ }
#endif
return b;
-}
+ }
#undef d0
#undef d1
-static double
+ static double
ratio
#ifdef KR_headers
-(a, b) Bigint *a, *b;
+ (a, b) Bigint *a, *b;
#else
-(Bigint *a, Bigint *b)
+ (Bigint *a, Bigint *b)
#endif
{
double da, db;
- PRInt32 k, ka, kb;
+ int k, ka, kb;
dval(da) = b2d(a, &ka);
dval(db) = b2d(b, &kb);
@@ -1167,38 +1449,48 @@ ratio
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
+ 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
+ , 1e23, 1e24
#endif
-};
+ };
-static CONST double
+ static CONST double
#ifdef IEEE_Arith
bigtens[] = { 1e16, 1e32, 1e64, 1e128, 1e256 };
-static CONST double tinytens[] = { 1e-16, 1e-32, 1e-64, 1e-128, 1e-256 };
+static CONST double tinytens[] = { 1e-16, 1e-32, 1e-64, 1e-128,
+#ifdef Avoid_Underflow
+ 9007199254740992.*9007199254740992.e-256
+ /* = 2^106 * 1e-53 */
+#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
@@ -1212,70 +1504,155 @@ static CONST double tinytens[] = { 1e-16, 1e-32 };
#endif
#endif
-void _PR_InitDtoa(void)
-{
- freelist_lock = PR_NewLock();
- p5s_lock = PR_NewLock();
-}
+#ifndef IEEE_Arith
+#undef INFNAN_CHECK
+#endif
-void _PR_CleanupDtoa(void)
+#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, char *t)
+#endif
{
- PR_DestroyLock(freelist_lock);
- freelist_lock = NULL;
- PR_DestroyLock(p5s_lock);
- p5s_lock = NULL;
+ int c, d;
+ CONST char *s = *sp;
- /* FIXME: deal with freelist and p5s. */
-}
+ while(d = *t++) {
+ if ((c = *++s) >= 'A' && c <= 'Z')
+ c += 'a' - 'A';
+ if (c != d)
+ return 0;
+ }
+ *sp = s + 1;
+ return 1;
+ }
-#if defined(HAVE_WATCOM_BUG_1)
-PRFloat64 __pascal __loadds __export
+#ifndef No_Hex_NaN
+ static void
+hexnan
+#ifdef KR_headers
+ (rvp, sp) double *rvp; CONST char **sp;
#else
-PR_IMPLEMENT(PRFloat64)
+ (double *rvp, CONST char **sp)
#endif
-PR_strtod(CONST char *s00, char **se)
{
- PRInt32 bb2, bb5, bbe, bd2, bd5, bbbits, bs2, c, dsign,
- e, e1, esign, i, j, k, nd, nd0, nf, nz, nz0, sign;
+ ULong c, x[2];
+ CONST char *s;
+ int havedig, udx0, xshift;
+
+ x[0] = x[1] = 0;
+ havedig = xshift = 0;
+ udx0 = 1;
+ s = *sp;
+ while(c = *(CONST unsigned char*)++s) {
+ if (c >= '0' && c <= '9')
+ c -= '0';
+ else if (c >= 'a' && c <= 'f')
+ c += 10 - 'a';
+ else if (c >= 'A' && c <= 'F')
+ c += 10 - 'A';
+ else if (c <= ' ') {
+ if (udx0 && havedig) {
+ udx0 = 0;
+ xshift = 1;
+ }
+ continue;
+ }
+ else if (/*(*/ c == ')' && havedig) {
+ *sp = s + 1;
+ break;
+ }
+ else
+ return; /* invalid form: don't change *sp */
+ 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 */
+
+ PR_IMPLEMENT(double)
+PR_strtod
+#ifdef KR_headers
+ (s00, se) CONST char *s00; char **se;
+#else
+ (CONST char *s00, char **se)
+#endif
+{
+#ifdef Avoid_Underflow
+ int scale;
+#endif
+ 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;
- PRFloat64 aadj, aadj1, adj, rv, rv0;
+ double aadj, aadj1, adj, rv, rv0;
Long L;
- unsigned Long y, z;
+ ULong y, z;
Bigint *bb, *bb1, *bd, *bd0, *bs, *delta;
-
+#ifdef SET_INEXACT
+ int inexact, oldinexact;
+#endif
+#ifdef Honor_FLT_ROUNDS
+ int rounding;
+#endif
+#ifdef USE_LOCALE
+ CONST char *s2;
+#endif
if (!_pr_initialized) _PR_ImplicitInitialization();
sign = nz0 = nz = 0;
dval(rv) = 0.;
for(s = s00;;s++) switch(*s) {
- case '-':
- sign = 1;
- /* no break */
- case '+':
- if (*++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;
- /* no break */
- case 0:
- s = s00;
- goto ret;
- case '\t':
- case '\n':
- case '\v':
- case '\f':
- case '\r':
- case ' ':
- continue;
- default:
- goto break2;
- }
-break2:
+ }
+ break2:
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++)
@@ -1284,6 +1661,25 @@ break2:
else if (nd < 16)
z = 10*z + c - '0';
nd0 = nd;
+#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;
if (!nd) {
@@ -1294,11 +1690,11 @@ break2:
nf += nz;
nz = 0;
goto have_dig;
- }
+ }
goto dig_done;
- }
+ }
for(; c >= '0' && c <= '9'; c = *++s) {
- have_dig:
+ have_dig:
nz++;
if (c -= '0') {
nf += nz;
@@ -1312,24 +1708,23 @@ break2:
else if (nd <= DBL_DIG + 1)
z = 10*z + c;
nz = 0;
+ }
}
}
- }
-dig_done:
+ dig_done:
e = 0;
if (c == 'e' || c == 'E') {
if (!nd && !nz && !nz0) {
- s = s00;
- goto ret;
- }
+ goto ret0;
+ }
s00 = s;
esign = 0;
switch(c = *++s) {
- case '-':
- esign = 1;
- case '+':
- c = *++s;
- }
+ case '-':
+ esign = 1;
+ case '+':
+ c = *++s;
+ }
if (c >= '0' && c <= '9') {
while(c == '0')
c = *++s;
@@ -1344,21 +1739,51 @@ dig_done:
*/
e = 19999; /* safe for 16 bit ints */
else
- e = (PRInt32)L;
+ e = (int)L;
if (esign)
e = -e;
- }
+ }
else
e = 0;
- }
+ }
else
s = s00;
- }
+ }
if (!nd) {
- if (!nz && !nz0)
+ if (!nz && !nz0) {
+#ifdef INFNAN_CHECK
+ /* Check for Nan and Infinity */
+ 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;
- }
+ }
e1 = e -= nf;
/* Now we have nd0 digits, starting at s0, followed by a
@@ -1370,14 +1795,21 @@ dig_done:
nd0 = nd;
k = nd < DBL_DIG + 1 ? nd : DBL_DIG + 1;
dval(rv) = y;
- if (k > 9)
+ 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
- && FLT_ROUNDS == 1
+#ifndef Honor_FLT_ROUNDS
+ && Flt_Rounds == 1
+#endif
#endif
- ) {
+ ) {
if (!e)
goto ret;
if (e > 0) {
@@ -1385,98 +1817,172 @@ dig_done:
#ifdef VAX
goto vax_ovfl_check;
#else
+#ifdef Honor_FLT_ROUNDS
+ /* round correctly FLT_ROUNDS = 2 or 3 */
+ if (sign) {
+ rv = -rv;
+ 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 = -rv;
+ 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:
+ 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))
+ > 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 = -rv;
+ sign = 0;
+ }
+#endif
/* rv = */ rounded_quotient(dval(rv), tens[-e]);
goto ret;
- }
+ }
#endif
- }
+ }
e1 += nd - k;
+#ifdef IEEE_Arith
+#ifdef SET_INEXACT
+ inexact = 1;
+ if (k <= DBL_DIG)
+ oldinexact = get_inexact();
+#endif
+#ifdef Avoid_Underflow
+ scale = 0;
+#endif
+#ifdef Honor_FLT_ROUNDS
+ if ((rounding = Flt_Rounds) >= 2) {
+ if (sign)
+ rounding = rounding == 2 ? 0 : 2;
+ else
+ if (rounding != 2)
+ rounding = 0;
+ }
+#endif
+#endif /*IEEE_Arith*/
+
/* Get starting approximation = rv * 10**e1 */
if (e1 > 0) {
- if ((i = e1 & 15) != 0)
+ if (i = e1 & 15)
dval(rv) *= tens[i];
if (e1 &= ~15) {
if (e1 > DBL_MAX_10_EXP) {
- ovfl:
+ ovfl:
+#ifndef NO_ERRNO
PR_SetError(PR_RANGE_ERROR, 0);
-#ifdef __STDC__
- dval(rv) = HUGE_VAL;
-#else
+#endif
/* Can't trust HUGE_VAL */
#ifdef IEEE_Arith
+#ifdef Honor_FLT_ROUNDS
+ switch(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;
-#else
+#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
-#endif
+#endif /*IEEE_Arith*/
if (bd0)
goto retfree;
goto ret;
- }
- if (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;
+ 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) != 0)
+ if (i = e1 & 15)
dval(rv) /= tens[i];
- if (e1 &= ~15) {
- e1 >>= 4;
+ if (e1 >>= 4) {
if (e1 >= 1 << n_bigtens)
goto undfl;
+#ifdef Avoid_Underflow
+ if (e1 & Scale_Bit)
+ scale = 2*P;
+ for(j = 0; e1 > 0; j++, e1 >>= 1)
+ if (e1 & 1)
+ dval(rv) *= tinytens[j];
+ if (scale && (j = 2*P + 1 - ((word0(rv) & Exp_mask)
+ >> Exp_shift)) > 0) {
+ /* scaled rv is denormal; zap j low bits */
+ if (j >= 32) {
+ 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];
@@ -1486,22 +1992,27 @@ dig_done:
if (!dval(rv)) {
dval(rv) = 2.*dval(rv0);
dval(rv) *= tinytens[j];
+#endif
if (!dval(rv)) {
- undfl:
+ undfl:
dval(rv) = 0.;
+#ifndef NO_ERRNO
PR_SetError(PR_RANGE_ERROR, 0);
+#endif
if (bd0)
goto retfree;
goto ret;
- }
+ }
+#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.*/
@@ -1518,31 +2029,48 @@ dig_done:
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 (rounding != 1)
+ bs2++;
+#endif
+#ifdef Avoid_Underflow
+ j = bbe - scale;
+ i = j + bbbits - 1; /* logb(rv) */
+ if (i < Emin) /* denormal */
+ j += P - Emin;
+ else
+ j = P + 1 - bbbits;
+#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
- i = bbe + bbbits - 1; /* logb(rv) */
+#else /*Sudden_Underflow*/
+ j = bbe;
+ i = j + bbbits - 1; /* logb(rv) */
if (i < Emin) /* denormal */
- j = bbe + (P-Emin);
+ j += P - Emin;
else
j = P + 1 - bbbits;
-#endif
+#endif /*Sudden_Underflow*/
+#endif /*Avoid_Underflow*/
bb2 += j;
bd2 += j;
+#ifdef Avoid_Underflow
+ bd2 += scale;
+#endif
i = bb2 < bd2 ? bb2 : bd2;
if (i > bs2)
i = bs2;
@@ -1550,13 +2078,13 @@ dig_done:
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)
@@ -1569,22 +2097,138 @@ dig_done:
dsign = delta->sign;
delta->sign = 0;
i = cmp(delta, bs);
+#ifdef Honor_FLT_ROUNDS
+ if (rounding != 1) {
+ if (i < 0) {
+ /* Error is less than an ulp */
+ if (!delta->x[0] && delta->wds <= 1) {
+ /* exact */
+#ifdef SET_INEXACT
+ inexact = 0;
+#endif
+ break;
+ }
+ if (rounding) {
+ if (dsign) {
+ adj = 1.;
+ goto apply_adj;
+ }
+ }
+ else if (!dsign) {
+ adj = -1.;
+ if (!word1(rv)
+ && !(word0(rv) & Frac_mask)) {
+ y = word0(rv) & Exp_mask;
+#ifdef Avoid_Underflow
+ if (!scale || y > 2*P*Exp_msk1)
+#else
+ if (y)
+#endif
+ {
+ delta = lshift(delta,Log2P);
+ if (cmp(delta, bs) <= 0)
+ adj = -0.5;
+ }
+ }
+ apply_adj:
+#ifdef Avoid_Underflow
+ if (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*ulp(dval(rv));
+ word0(rv) -= P*Exp_msk1;
+ }
+ else
+#endif /*Sudden_Underflow*/
+#endif /*Avoid_Underflow*/
+ dval(rv) += adj*ulp(dval(rv));
+ }
+ break;
+ }
+ adj = ratio(delta, bs);
+ if (adj < 1.)
+ adj = 1.;
+ if (adj <= 0x7ffffffe) {
+ /* adj = rounding ? ceil(adj) : floor(adj); */
+ y = adj;
+ if (y != adj) {
+ if (!((rounding>>1) ^ dsign))
+ y++;
+ adj = y;
+ }
+ }
+#ifdef Avoid_Underflow
+ if (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 *= ulp(dval(rv));
+ if (dsign)
+ dval(rv) += adj;
+ else
+ dval(rv) -= adj;
+ word0(rv) -= P*Exp_msk1;
+ goto cont;
+ }
+#endif /*Sudden_Underflow*/
+#endif /*Avoid_Underflow*/
+ adj *= ulp(dval(rv));
+ if (dsign)
+ dval(rv) += adj;
+ else
+ dval(rv) -= adj;
+ 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 (dsign || word1(rv) || word0(rv) & Bndry_mask)
+ if (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)
+ inexact = 0;
+#endif
break;
+ }
+ if (!delta->x[0] && delta->wds <= 1) {
+ /* exact result */
+#ifdef SET_INEXACT
+ 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 (dsign) {
if ((word0(rv) & Bndry_mask1) == Bndry_mask1
- && word1(rv) == 0xffffffff) {
+ && word1(rv) == (
+#ifdef Avoid_Underflow
+ (scale && (y = word0(rv) & Exp_mask) <= 2*P*Exp_msk1)
+ ? (0xffffffff & (0xffffffff << (2*P+1-(y>>Exp_shift)))) :
+#endif
+ 0xffffffff)) {
/*boundary case -- increment exponent*/
word0(rv) = (word0(rv) & Exp_mask)
+ Exp_msk1
@@ -1593,24 +2237,44 @@ dig_done:
#endif
;
word1(rv) = 0;
+#ifdef Avoid_Underflow
+ dsign = 0;
+#endif
break;
+ }
}
- }
else if (!(word0(rv) & Bndry_mask) && !word1(rv)) {
- drop_down:
+ drop_down:
/* boundary case -- decrement exponent */
-#ifdef Sudden_Underflow
+#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;
+#ifdef Avoid_Underflow
+ if (L <= (scale ? (2*P+1)*Exp_msk1 : Exp_msk1))
#else
- L = (long)((word0(rv) & Exp_mask) - Exp_msk1);
-#endif
+ if (L <= Exp_msk1)
+#endif /*Avoid_Underflow*/
+#endif /*IBM*/
+ goto undfl;
+ L -= Exp_msk1;
+#else /*Sudden_Underflow}{*/
+#ifdef Avoid_Underflow
+ if (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 */
+ 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
@@ -1618,7 +2282,7 @@ dig_done:
#else
break;
#endif
- }
+ }
#ifndef ROUND_BIASED
if (!(word1(rv) & LSB))
break;
@@ -1632,10 +2296,13 @@ dig_done:
if (!dval(rv))
goto undfl;
#endif
- }
+ }
+#ifdef Avoid_Underflow
+ dsign = 1 - dsign;
+#endif
#endif
break;
- }
+ }
if ((aadj = ratio(delta, bs)) <= 2.) {
if (dsign)
aadj = aadj1 = 1.;
@@ -1646,7 +2313,7 @@ dig_done:
#endif
aadj = 1.;
aadj1 = -1.;
- }
+ }
else {
/* special case -- power of FLT_RADIX to be */
/* rounded down... */
@@ -1656,25 +2323,25 @@ dig_done:
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;
- }
+ switch(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)
+ if (Flt_Rounds == 0)
aadj1 += 0.5;
-#endif
- }
+#endif /*Check_FLT_ROUNDS*/
+ }
y = word0(rv) & Exp_mask;
/* Check for overflow */
@@ -1685,17 +2352,30 @@ dig_done:
adj = aadj1 * ulp(dval(rv));
dval(rv) += adj;
if ((word0(rv) & Exp_mask) >=
- Exp_msk1*(DBL_MAX_EXP+Bias-P)) {
+ 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 (scale && y <= 2*P*Exp_msk1) {
+ if (aadj <= 0x7fffffff) {
+ if ((z = aadj) <= 0)
+ z = 1;
+ aadj = z;
+ aadj1 = dsign ? aadj : -aadj;
+ }
+ word0(aadj1) += (2*P+1)*Exp_msk1 - y;
+ }
+ adj = aadj1 * ulp(dval(rv));
+ dval(rv) += adj;
+#else
#ifdef Sudden_Underflow
if ((word0(rv) & Exp_mask) <= P*Exp_msk1) {
dval(rv0) = dval(rv);
@@ -1705,24 +2385,24 @@ dig_done:
#ifdef IBM
if ((word0(rv) & Exp_mask) < P*Exp_msk1)
#else
- if ((word0(rv) & Exp_mask) <= P*Exp_msk1)
+ 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;
- }
+ {
+ 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(dval(rv));
dval(rv) += adj;
- }
-#else
+ }
+#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.,
@@ -1730,62 +2410,105 @@ dig_done:
* trouble from bits lost to denormalization;
* example: 1.2e-307 .
*/
- if (y <= (P-1)*Exp_msk1 && aadj >= 1.) {
- aadj1 = (double)(PRInt32)(aadj + 0.5);
+ if (y <= (P-1)*Exp_msk1 && aadj > 1.) {
+ aadj1 = (double)(int)(aadj + 0.5);
if (!dsign)
aadj1 = -aadj1;
- }
+ }
adj = aadj1 * ulp(dval(rv));
dval(rv) += adj;
-#endif
- }
+#endif /*Sudden_Underflow*/
+#endif /*Avoid_Underflow*/
+ }
z = word0(rv) & Exp_mask;
+#ifndef SET_INEXACT
+#ifdef Avoid_Underflow
+ if (!scale)
+#endif
if (y == z) {
/* Can we stop now? */
- L = (Long) aadj;
+ L = (Long)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:
+ }
+#endif
+ cont:
Bfree(bb);
Bfree(bd);
Bfree(bs);
Bfree(delta);
- }
-retfree:
+ }
+#ifdef SET_INEXACT
+ if (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 (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 */
+ if (word0(rv) == 0 && word1(rv) == 0)
+ PR_SetError(PR_RANGE_ERROR, 0);
+#endif
+ }
+#endif /* Avoid_Underflow */
+#ifdef SET_INEXACT
+ if (inexact && !(word0(rv) & Exp_mask)) {
+ /* set underflow bit */
+ dval(rv0) = 1e-300;
+ dval(rv0) *= dval(rv0);
+ }
+#endif
+ retfree:
Bfree(bb);
Bfree(bd);
Bfree(bs);
Bfree(bd0);
Bfree(delta);
-ret:
+ ret:
if (se)
*se = (char *)s;
return sign ? -dval(rv) : dval(rv);
-}
+ }
-static PRInt32
-quorem(Bigint *b, Bigint *S)
+ static int
+quorem
+#ifdef KR_headers
+ (b, S) Bigint *b, *S;
+#else
+ (Bigint *b, Bigint *S)
+#endif
{
- PRInt32 n;
- Long borrow, y;
- unsigned Long carry, q, ys;
- unsigned Long *bx, *bxe, *sx, *sxe;
+ 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;
- unsigned Long si, zs;
+ ULong si, z, zs;
+#endif
#endif
n = S->wds;
-#ifdef DEBUG_DTOA
+#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;
@@ -1794,43 +2517,48 @@ quorem(Bigint *b, Bigint *S)
bx = b->x;
bxe = bx + n;
q = *bxe / (*sxe + 1); /* ensure q <= true quotient */
-#ifdef DEBUG_DTOA
+#ifdef DEBUG
/*debug*/ if (q > 9)
- /*debug*/ Bug("oversized quotient in quorem");
+ /*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 = (long)((*bx & 0xffff) - (ys & 0xffff) + borrow);
- borrow = y >> 16;
- Sign_Extend(borrow, y);
- z = (long)((*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;
@@ -1838,40 +2566,110 @@ 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 = (long)((*bx & 0xffff) - (ys & 0xffff) + borrow);
- borrow = y >> 16;
- Sign_Extend(borrow, y);
- z = (long)((*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;
+ }
+
+#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(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.
+ */
+
+ void
+#ifdef KR_headers
+freedtoa(s) char *s;
+#else
+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
}
- return (int)q;
-}
-/* PR_dtoa for IEEE arithmetic (dmg): convert double to ASCII string.
+/* 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].
@@ -1905,37 +2703,42 @@ quorem(Bigint *b, Bigint *S)
* calculation.
*/
-PR_IMPLEMENT(PRStatus)
-PR_dtoa(PRFloat64 d, int mode, int ndigits,
- int *decpt, int *sign, char **rve, char *buf, PRSize bufsize)
+ static char *
+dtoa
+#ifdef KR_headers
+ (d, mode, ndigits, decpt, sign, rve)
+ double d; int mode, ndigits, *decpt, *sign; char **rve;
+#else
+ (double d, 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.
+ /* 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:
+ mode:
0 ==> shortest string that yields d when read in
- and rounded to nearest.
+ 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.
+ 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.
+ 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).
+ 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.
@@ -1943,29 +2746,36 @@ PR_dtoa(PRFloat64 d, int mode, int ndigits,
to hold the suppressed trailing zeros.
*/
- PRInt32 bbits, b2, b5, be, dig, i, ieps, ilim, ilim0, ilim1,
+ int bbits, b2, b5, be, dig, i, ieps, ilim, ilim0, ilim1,
j, j1, k, k0, k_check, leftright, m2, m5, s2, s5,
spec_case, try_quick;
Long L;
#ifndef Sudden_Underflow
- PRInt32 denorm;
- unsigned Long x;
+ int denorm;
+ ULong x;
#endif
Bigint *b, *b1, *delta, *mlo, *mhi, *S;
double d2, ds, eps;
char *s, *s0;
- Bigint *result = 0;
- PRInt32 result_k;
- PRStatus retval;
- PRSize strsize;
+#ifdef Honor_FLT_ROUNDS
+ int rounding;
+#endif
+#ifdef SET_INEXACT
+ int inexact, oldinexact;
+#endif
- if (!_pr_initialized) _PR_ImplicitInitialization();
+#ifndef MULTIPLE_THREADS
+ if (dtoa_result) {
+ freedtoa(dtoa_result);
+ dtoa_result = 0;
+ }
+#endif
if (word0(d) & Sign_bit) {
/* set sign for everything, including 0's and NaNs */
*sign = 1;
word0(d) &= ~Sign_bit; /* clear sign bit */
- }
+ }
else
*sign = 0;
@@ -1973,54 +2783,45 @@ PR_dtoa(PRFloat64 d, int mode, int ndigits,
#ifdef IEEE_Arith
if ((word0(d) & Exp_mask) == Exp_mask)
#else
- if (word0(d) == 0x8000)
+ if (word0(d) == 0x8000)
#endif
- {
- /* Infinity or NaN */
- *decpt = 9999;
- s =
+ {
+ /* Infinity or NaN */
+ *decpt = 9999;
#ifdef IEEE_Arith
- !word1(d) && !(word0(d) & 0xfffff) ? "Infinity" :
+ if (!word1(d) && !(word0(d) & 0xfffff))
+ return nrv_alloc("Infinity", rve, 8);
#endif
- "NaN";
- if ((s[0] == 'I' && bufsize < 9) || (s[0] == 'N' && bufsize < 4)) {
- PR_SetError(PR_BUFFER_OVERFLOW_ERROR, 0);
- return PR_FAILURE;
- }
- strcpy(buf, s);
- if (rve) {
- *rve =
-#ifdef IEEE_Arith
- buf[3] ? buf + 8 :
-#endif
- buf + 3;
- PR_ASSERT(**rve == '\0');
- }
- return PR_SUCCESS;
- }
+ return nrv_alloc("NaN", rve, 3);
+ }
#endif
#ifdef IBM
dval(d) += 0; /* normalize */
#endif
if (!dval(d)) {
*decpt = 1;
- if (bufsize < 2) {
- PR_SetError(PR_BUFFER_OVERFLOW_ERROR, 0);
- return PR_FAILURE;
+ return nrv_alloc("0", rve, 1);
}
- buf[0] = '0'; buf[1] = '\0'; /* copy "0" to buffer */
- if (rve) {
- *rve = buf + 1;
- PR_ASSERT(**rve == '\0');
+
+#ifdef SET_INEXACT
+ try_quick = oldinexact = get_inexact();
+ inexact = 1;
+#endif
+#ifdef Honor_FLT_ROUNDS
+ if ((rounding = Flt_Rounds) >= 2) {
+ if (*sign)
+ rounding = rounding == 2 ? 0 : 2;
+ else
+ if (rounding != 2)
+ rounding = 0;
}
- return PR_SUCCESS;
- }
+#endif
b = d2b(dval(d), &be, &bbits);
#ifdef Sudden_Underflow
- i = (PRInt32)(word0(d) >> Exp_shift1 & (Exp_mask>>Exp_shift1));
+ i = (int)(word0(d) >> Exp_shift1 & (Exp_mask>>Exp_shift1));
#else
- if ((i = (PRInt32)(word0(d) >> Exp_shift1 & (Exp_mask>>Exp_shift1))) != 0) {
+ if (i = (int)(word0(d) >> Exp_shift1 & (Exp_mask>>Exp_shift1))) {
#endif
dval(d2) = dval(d);
word0(d2) &= Frac_mask1;
@@ -2059,21 +2860,21 @@ PR_dtoa(PRFloat64 d, int mode, int ndigits,
#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);
+ x = i > 32 ? word0(d) << 64 - i | word1(d) >> i - 32
+ : word1(d) << 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 = (PRInt32)ds;
+ k = (int)ds;
if (ds < 0. && ds != k)
k--; /* want k = floor(ds) */
k_check = 1;
@@ -2081,64 +2882,73 @@ PR_dtoa(PRFloat64 d, int mode, int ndigits,
if (dval(d) < 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;
switch(mode) {
- case 0:
- case 1:
- ilim = ilim1 = -1;
- i = 18;
- ndigits = 0;
- break;
- case 2:
- leftright = 0;
- /* no break */
- case 4:
- if (ndigits <= 0)
- ndigits = 1;
- ilim = ilim1 = i = ndigits;
- break;
- case 3:
+ case 0:
+ case 1:
+ ilim = ilim1 = -1;
+ i = 18;
+ ndigits = 0;
+ break;
+ case 2:
+ leftright = 0;
+ /* no break */
+ case 4:
+ if (ndigits <= 0)
+ ndigits = 1;
+ ilim = ilim1 = i = ndigits;
+ break;
+ case 3:
+ leftright = 0;
+ /* no break */
+ 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;
- /* no break */
- case 5:
- i = ndigits + k + 1;
- ilim = i;
- ilim1 = i - 1;
- if (i <= 0)
- i = 1;
- }
- j = sizeof(unsigned Long);
- for(result_k = 0; sizeof(Bigint) - sizeof(unsigned Long) <= i - j;
- j <<= 1) result_k++;
- result = Balloc(result_k);
- s = s0 = (char *)result;
+#endif
if (ilim >= 0 && ilim <= Quick_max && try_quick) {
@@ -2157,22 +2967,22 @@ PR_dtoa(PRFloat64 d, int mode, int ndigits,
j &= Bletch - 1;
dval(d) /= bigtens[n_bigtens-1];
ieps++;
- }
+ }
for(; j; j >>= 1, i++)
if (j & 1) {
ieps++;
ds *= bigtens[i];
- }
+ }
dval(d) /= ds;
- }
- else if ((j1 = -k) != 0) {
+ }
+ else if (j1 = -k) {
dval(d) *= tens[j1 & 0xf];
for(j = j1 >> 4; j; j >>= 1, i++)
if (j & 1) {
ieps++;
dval(d) *= bigtens[i];
- }
- }
+ }
+ }
if (k_check && dval(d) < 1. && ilim > 0) {
if (ilim1 <= 0)
goto fast_failed;
@@ -2180,7 +2990,7 @@ PR_dtoa(PRFloat64 d, int mode, int ndigits,
k--;
dval(d) *= 10.;
ieps++;
- }
+ }
dval(eps) = ieps*dval(d) + 7.;
word0(eps) -= (P-1)*Exp_msk1;
if (ilim == 0) {
@@ -2191,7 +3001,7 @@ PR_dtoa(PRFloat64 d, int mode, int ndigits,
if (dval(d) < -dval(eps))
goto no_digits;
goto fast_failed;
- }
+ }
#ifndef No_leftright
if (leftright) {
/* Use Steele & White method of only
@@ -2199,9 +3009,9 @@ PR_dtoa(PRFloat64 d, int mode, int ndigits,
*/
dval(eps) = 0.5/tens[ilim-1] - dval(eps);
for(i = 0;;) {
- L = (Long) (dval(d));
+ L = dval(d);
dval(d) -= L;
- *s++ = '0' + (PRInt32)L;
+ *s++ = '0' + (int)L;
if (dval(d) < dval(eps))
goto ret1;
if (1. - dval(d) < dval(eps))
@@ -2210,36 +3020,37 @@ PR_dtoa(PRFloat64 d, int mode, int ndigits,
break;
dval(eps) *= 10.;
dval(d) *= 10.;
+ }
}
- }
else {
#endif
/* Generate ilim digits, then fix them up. */
dval(eps) *= tens[ilim-1];
for(i = 1;; i++, dval(d) *= 10.) {
- L = (Long) (dval(d));
- dval(d) -= L;
- *s++ = '0' + (PRInt32)L;
+ L = (Long)(dval(d));
+ if (!(dval(d) -= L))
+ ilim = i;
+ *s++ = '0' + (int)L;
if (i == ilim) {
if (dval(d) > 0.5 + dval(eps))
goto bump_up;
else if (dval(d) < 0.5 - dval(eps)) {
- while(*--s == '0'){} /* just count -- nothing to execute */
+ while(*--s == '0');
s++;
goto ret1;
- }
+ }
break;
+ }
}
- }
#ifndef No_leftright
- }
+ }
#endif
- fast_failed:
+ fast_failed:
s = s0;
dval(d) = dval(d2);
k = k0;
ilim = ilim0;
- }
+ }
/* Do we have a "small" integer? */
@@ -2251,77 +3062,72 @@ PR_dtoa(PRFloat64 d, int mode, int ndigits,
if (ilim < 0 || dval(d) <= 5*ds)
goto no_digits;
goto one_digit;
- }
- for(i = 1;; i++) {
- L = (Long) (dval(d) / ds);
+ }
+ for(i = 1;; i++, dval(d) *= 10.) {
+ L = (Long)(dval(d) / ds);
dval(d) -= L*ds;
#ifdef Check_FLT_ROUNDS
/* If FLT_ROUNDS == 2, L will usually be high by 1 */
if (dval(d) < 0) {
L--;
dval(d) += ds;
- }
+ }
#endif
- *s++ = '0' + (PRInt32)L;
+ *s++ = '0' + (int)L;
+ if (!dval(d)) {
+#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(d) += dval(d);
- if ((dval(d) > ds) || (dval(d) == ds && L & 1)) {
- bump_up:
+ if (dval(d) > ds || dval(d) == ds && L & 1) {
+ bump_up:
while(*--s == '9')
if (s == s0) {
k++;
*s = '0';
break;
- }
+ }
++*s++;
- }
+ }
break;
+ }
}
- if (!(dval(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) {
@@ -2329,13 +3135,13 @@ PR_dtoa(PRFloat64 d, int mode, int ndigits,
b1 = mult(mhi, b);
Bfree(b);
b = b1;
- }
- if ((j = b5 - m5) != 0)
+ }
+ if (j = b5 - m5)
b = pow5mult(b, j);
- }
+ }
else
b = pow5mult(b, b5);
- }
+ }
S = i2b(1);
if (s5 > 0)
S = pow5mult(S, s5);
@@ -2343,18 +3149,22 @@ PR_dtoa(PRFloat64 d, int mode, int ndigits,
/* Check for special case that d is a normalized power of 2. */
spec_case = 0;
- if (mode < 2) {
+ if ((mode < 2 || leftright)
+#ifdef Honor_FLT_ROUNDS
+ && rounding == 1
+#endif
+ ) {
if (!word1(d) && !(word0(d) & Bndry_mask)
#ifndef Sudden_Underflow
- && word0(d) & Exp_mask
+ && word0(d) & (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.
@@ -2364,7 +3174,7 @@ PR_dtoa(PRFloat64 d, int mode, int ndigits,
* 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) != 0)
+ 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)
@@ -2375,13 +3185,13 @@ PR_dtoa(PRFloat64 d, int mode, int ndigits,
b2 += i;
m2 += i;
s2 += i;
- }
+ }
else if (i < 4) {
i += 28;
b2 += i;
m2 += i;
s2 += i;
- }
+ }
if (b2 > 0)
b = lshift(b, b2);
if (s2 > 0)
@@ -2393,20 +3203,20 @@ PR_dtoa(PRFloat64 d, int mode, int ndigits,
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);
@@ -2420,7 +3230,7 @@ PR_dtoa(PRFloat64 d, int mode, int ndigits,
mhi = Balloc(mhi->k);
Bcopy(mhi, mlo);
mhi = lshift(mhi, Log2P);
- }
+ }
for(i = 1;;i++) {
dig = quorem(b,S) + '0';
@@ -2432,39 +3242,68 @@ PR_dtoa(PRFloat64 d, int mode, int ndigits,
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(d) & 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(d) & 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'))
+ if ((j1 > 0 || j1 == 0 && dig & 1)
+ && 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;
@@ -2474,65 +3313,109 @@ PR_dtoa(PRFloat64 d, int mode, int ndigits,
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:
+ if (j > 0 || j == 0 && dig & 1) {
+ roundoff:
while(*--s == '9')
if (s == s0) {
k++;
*s++ = '1';
goto ret;
- }
+ }
++*s++;
- }
+ }
else {
- while(*--s == '0'){} /* just count -- nothing to execute */
+ trimzeros:
+ while(*--s == '0');
s++;
- }
-ret:
+ }
+ ret:
Bfree(S);
if (mhi) {
if (mlo && mlo != mhi)
Bfree(mlo);
Bfree(mhi);
- }
-ret1:
+ }
+ ret1:
+#ifdef SET_INEXACT
+ if (inexact) {
+ if (!oldinexact) {
+ word0(d) = Exp_1 + (70 << Exp_shift);
+ word1(d) = 0;
+ dval(d) += 1.;
+ }
+ }
+ else if (!oldinexact)
+ clear_inexact();
+#endif
Bfree(b);
*s = 0;
*decpt = k + 1;
- strsize = (s - s0) + 1;
- if (strsize <= bufsize) {
- retval = PR_SUCCESS;
- memcpy(buf, s0, strsize);
- if (rve) {
- *rve = buf + strsize - 1;
- PR_ASSERT(**rve == '\0');
- }
- } else {
- PR_SetError(PR_BUFFER_OVERFLOW_ERROR, 0);
- retval = PR_FAILURE;
+ if (rve)
+ *rve = s;
+ return s0;
}
+#ifdef __cplusplus
+}
+#endif
- /* cleanup */
- result->k = result_k;
- result->maxwds = 1 << result_k;
- Bfree(result);
-
- return retval;
+PR_IMPLEMENT(PRStatus)
+PR_dtoa(PRFloat64 d, PRIntn mode, PRIntn ndigits,
+ PRIntn *decpt, PRIntn *sign, char **rve, char *buf, PRSize bufsize)
+{
+ char *result;
+ PRSize resultlen;
+ PRStatus rv = PR_FAILURE;
+
+ if (!_pr_initialized) _PR_ImplicitInitialization();
+
+ if (mode < 0 || mode > 3) {
+ PR_SetError(PR_INVALID_ARGUMENT_ERROR, 0);
+ return rv;
+ }
+ result = dtoa(d, mode, ndigits, decpt, sign, rve);
+ if (!result) {
+ PR_SetError(PR_OUT_OF_MEMORY_ERROR, 0);
+ return rv;
+ }
+ resultlen = strlen(result)+1;
+ if (bufsize < resultlen) {
+ PR_SetError(PR_BUFFER_OVERFLOW_ERROR, 0);
+ } else {
+ memcpy(buf, result, resultlen);
+ if (rve) {
+ *rve = buf + (*rve - result);
+ }
+ rv = PR_SUCCESS;
+ }
+ freedtoa(result);
+ return rv;
}
/*
@@ -2554,79 +3437,75 @@ PR_cnvtf(char *buf,int bufsz, int prcsn,double fval)
char *bufp = buf;
char *endnum;
- /* If anything fails, we store an empty string in 'buf' */
- num = (char*)PR_MALLOC(bufsz);
- if (num == NULL) {
- buf[0] = '\0';
- return;
- }
- /* XXX Why use mode 1? */
- if (PR_dtoa(dval(fval),1,prcsn,&decpt,&sign,&endnum,num,bufsz)
- == PR_FAILURE) {
- buf[0] = '\0';
- goto done;
- }
- numdigits = endnum - num;
- nump = num;
-
- if (sign &&
- !(word0(fval) == Sign_bit && word1(fval) == 0) &&
- !((word0(fval) & Exp_mask) == Exp_mask &&
- (word1(fval) || (word0(fval) & 0xfffff)))) {
- *bufp++ = '-';
- }
-
- if(decpt == 9999){
- while((*bufp++ = *nump++) != 0){} /* nothing to execute */
- goto done;
- }
-
- if(decpt > (prcsn+1) || decpt < -(prcsn-1) || decpt < -5){
- *bufp++ = *nump++;
- if(numdigits != 1){
- *bufp++ = '.';
- }
-
- while(*nump != '\0'){
- *bufp++ = *nump++;
- }
- *bufp++ = 'e';
- PR_snprintf(bufp,bufsz - (bufp - buf), "%+d",decpt-1);
- }
- else if(decpt >= 0){
- if(decpt == 0){
- *bufp++ = '0';
- }
- else {
- while(decpt--){
- if(*nump != '\0'){
- *bufp++ = *nump++;
- }
- else {
- *bufp++ = '0';
- }
- }
- }
- if(*nump != '\0'){
- *bufp++ = '.';
- while(*nump != '\0'){
- *bufp++ = *nump++;
- }
- }
- *bufp++ = '\0';
- }
- else if(decpt < 0){
- *bufp++ = '0';
- *bufp++ = '.';
- while(decpt++){
- *bufp++ = '0';
- }
-
- while(*nump != '\0'){
- *bufp++ = *nump++;
- }
- *bufp++ = '\0';
- }
+ /* If anything fails, we store an empty string in 'buf' */
+ num = (char*)PR_MALLOC(bufsz);
+ if (num == NULL) {
+ buf[0] = '\0';
+ return;
+ }
+ /* XXX Why use mode 1? */
+ if (PR_dtoa(dval(fval),1,prcsn,&decpt,&sign,&endnum,num,bufsz)
+ == PR_FAILURE) {
+ buf[0] = '\0';
+ goto done;
+ }
+ numdigits = endnum - num;
+ nump = num;
+
+ if (sign &&
+ !(word0(fval) == Sign_bit && word1(fval) == 0) &&
+ !((word0(fval) & Exp_mask) == Exp_mask &&
+ (word1(fval) || (word0(fval) & 0xfffff)))) {
+ *bufp++ = '-';
+ }
+
+ if (decpt == 9999) {
+ while ((*bufp++ = *nump++) != 0) {} /* nothing to execute */
+ goto done;
+ }
+
+ if (decpt > (prcsn+1) || decpt < -(prcsn-1) || decpt < -5) {
+ *bufp++ = *nump++;
+ if (numdigits != 1) {
+ *bufp++ = '.';
+ }
+
+ while (*nump != '\0') {
+ *bufp++ = *nump++;
+ }
+ *bufp++ = 'e';
+ PR_snprintf(bufp, bufsz - (bufp - buf), "%+d", decpt-1);
+ } else if (decpt >= 0) {
+ if (decpt == 0) {
+ *bufp++ = '0';
+ } else {
+ while (decpt--) {
+ if (*nump != '\0') {
+ *bufp++ = *nump++;
+ } else {
+ *bufp++ = '0';
+ }
+ }
+ }
+ if (*nump != '\0') {
+ *bufp++ = '.';
+ while (*nump != '\0') {
+ *bufp++ = *nump++;
+ }
+ }
+ *bufp++ = '\0';
+ } else if (decpt < 0) {
+ *bufp++ = '0';
+ *bufp++ = '.';
+ while (decpt++) {
+ *bufp++ = '0';
+ }
+
+ while (*nump != '\0') {
+ *bufp++ = *nump++;
+ }
+ *bufp++ = '\0';
+ }
done:
- PR_DELETE(num);
+ PR_DELETE(num);
}