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1.1 misho 1: /****************************************************************
2: *
3: * The author of this software is David M. Gay.
4: *
5: * Copyright (c) 1991 by AT&T.
6: *
7: * Permission to use, copy, modify, and distribute this software for any
8: * purpose without fee is hereby granted, provided that this entire notice
9: * is included in all copies of any software which is or includes a copy
10: * or modification of this software and in all copies of the supporting
11: * documentation for such software.
12: *
13: * THIS SOFTWARE IS BEING PROVIDED "AS IS", WITHOUT ANY EXPRESS OR IMPLIED
14: * WARRANTY. IN PARTICULAR, NEITHER THE AUTHOR NOR AT&T MAKES ANY
15: * REPRESENTATION OR WARRANTY OF ANY KIND CONCERNING THE MERCHANTABILITY
16: * OF THIS SOFTWARE OR ITS FITNESS FOR ANY PARTICULAR PURPOSE.
17: *
18: ***************************************************************/
19:
20: /* Please send bug reports to
21: David M. Gay
22: AT&T Bell Laboratories, Room 2C-463
23: 600 Mountain Avenue
24: Murray Hill, NJ 07974-2070
25: U.S.A.
26: dmg@research.att.com or research!dmg
27: */
28:
29: /* strtod for IEEE-, VAX-, and IBM-arithmetic machines.
30: *
31: * This strtod returns a nearest machine number to the input decimal
32: * string (or sets errno to ERANGE). With IEEE arithmetic, ties are
33: * broken by the IEEE round-even rule. Otherwise ties are broken by
34: * biased rounding (add half and chop).
35: *
36: * Inspired loosely by William D. Clinger's paper "How to Read Floating
37: * Point Numbers Accurately" [Proc. ACM SIGPLAN '90, pp. 92-101].
38: *
39: * Modifications:
40: *
41: * 1. We only require IEEE, IBM, or VAX double-precision
42: * arithmetic (not IEEE double-extended).
43: * 2. We get by with floating-point arithmetic in a case that
44: * Clinger missed -- when we're computing d * 10^n
45: * for a small integer d and the integer n is not too
46: * much larger than 22 (the maximum integer k for which
47: * we can represent 10^k exactly), we may be able to
48: * compute (d*10^k) * 10^(e-k) with just one roundoff.
49: * 3. Rather than a bit-at-a-time adjustment of the binary
50: * result in the hard case, we use floating-point
51: * arithmetic to determine the adjustment to within
52: * one bit; only in really hard cases do we need to
53: * compute a second residual.
54: * 4. Because of 3., we don't need a large table of powers of 10
55: * for ten-to-e (just some small tables, e.g. of 10^k
56: * for 0 <= k <= 22).
57: */
58:
59: /*
60: * #define IEEE_LITTLE_ENDIAN for IEEE-arithmetic machines where the least
61: * significant byte has the lowest address.
62: * #define IEEE_BIG_ENDIAN for IEEE-arithmetic machines where the most
63: * significant byte has the lowest address.
64: * #define Long int on machines with 32-bit ints and 64-bit longs.
65: * #define Sudden_Underflow for IEEE-format machines without gradual
66: * underflow (i.e., that flush to zero on underflow).
67: * #define IBM for IBM mainframe-style floating-point arithmetic.
68: * #define VAX for VAX-style floating-point arithmetic.
69: * #define Unsigned_Shifts if >> does treats its left operand as unsigned.
70: * #define No_leftright to omit left-right logic in fast floating-point
71: * computation of dtoa.
72: * #define Check_FLT_ROUNDS if FLT_ROUNDS can assume the values 2 or 3.
73: * #define RND_PRODQUOT to use rnd_prod and rnd_quot (assembly routines
74: * that use extended-precision instructions to compute rounded
75: * products and quotients) with IBM.
76: * #define ROUND_BIASED for IEEE-format with biased rounding.
77: * #define Inaccurate_Divide for IEEE-format with correctly rounded
78: * products but inaccurate quotients, e.g., for Intel i860.
79: * #define Just_16 to store 16 bits per 32-bit Long when doing high-precision
80: * integer arithmetic. Whether this speeds things up or slows things
81: * down depends on the machine and the number being converted.
82: * #define KR_headers for old-style C function headers.
83: * #define Bad_float_h if your system lacks a float.h or if it does not
84: * define some or all of DBL_DIG, DBL_MAX_10_EXP, DBL_MAX_EXP,
85: * FLT_RADIX, FLT_ROUNDS, and DBL_MAX.
86: * #define MALLOC your_malloc, where your_malloc(n) acts like malloc(n)
87: * if memory is available and otherwise does something you deem
88: * appropriate. If MALLOC is undefined, malloc will be invoked
89: * directly -- and assumed always to succeed.
90: */
91:
92: /* $Id: zend_strtod.c 316591 2011-09-13 07:07:06Z dmitry $ */
93:
94: #include <zend_operators.h>
95: #include <zend_strtod.h>
96:
97: #ifdef ZTS
98: #include <TSRM.h>
99: #endif
100:
101: #include <stddef.h>
102: #include <stdio.h>
103: #include <ctype.h>
104: #include <stdarg.h>
105: #include <string.h>
106: #include <stdlib.h>
107: #include <math.h>
108:
109: #ifdef HAVE_LOCALE_H
110: #include <locale.h>
111: #endif
112:
113: #ifdef HAVE_SYS_TYPES_H
114: #include <sys/types.h>
115: #endif
116:
117: #if defined(HAVE_INTTYPES_H)
118: #include <inttypes.h>
119: #elif defined(HAVE_STDINT_H)
120: #include <stdint.h>
121: #endif
122:
123: #ifndef HAVE_INT32_T
124: # if SIZEOF_INT == 4
125: typedef int int32_t;
126: # elif SIZEOF_LONG == 4
127: typedef long int int32_t;
128: # endif
129: #endif
130:
131: #ifndef HAVE_UINT32_T
132: # if SIZEOF_INT == 4
133: typedef unsigned int uint32_t;
134: # elif SIZEOF_LONG == 4
135: typedef unsigned long int uint32_t;
136: # endif
137: #endif
138:
139: #if (defined(__APPLE__) || defined(__APPLE_CC__)) && (defined(__BIG_ENDIAN__) || defined(__LITTLE_ENDIAN__))
140: # if defined(__LITTLE_ENDIAN__)
141: # undef WORDS_BIGENDIAN
142: # else
143: # if defined(__BIG_ENDIAN__)
144: # define WORDS_BIGENDIAN
145: # endif
146: # endif
147: #endif
148:
149: #ifdef WORDS_BIGENDIAN
150: #define IEEE_BIG_ENDIAN
151: #else
152: #define IEEE_LITTLE_ENDIAN
153: #endif
154:
155: #if defined(__arm__) && !defined(__VFP_FP__)
156: /*
157: * * Although the CPU is little endian the FP has different
158: * * byte and word endianness. The byte order is still little endian
159: * * but the word order is big endian.
160: * */
161: #define IEEE_BIG_ENDIAN
162: #undef IEEE_LITTLE_ENDIAN
163: #endif
164:
165: #ifdef __vax__
166: #define VAX
167: #undef IEEE_LITTLE_ENDIAN
168: #endif
169:
170: #if defined(_MSC_VER)
171: #define int32_t __int32
172: #define uint32_t unsigned __int32
173: #define IEEE_LITTLE_ENDIAN
174: #endif
175:
176: #define Long int32_t
177: #define ULong uint32_t
178:
179: #ifdef __cplusplus
180: #include "malloc.h"
181: #include "memory.h"
182: #else
183: #ifndef KR_headers
184: #include "stdlib.h"
185: #include "string.h"
186: #include "locale.h"
187: #else
188: #include "malloc.h"
189: #include "memory.h"
190: #endif
191: #endif
192:
193: #ifdef MALLOC
194: #ifdef KR_headers
195: extern char *MALLOC();
196: #else
197: extern void *MALLOC(size_t);
198: #endif
199: #else
200: #define MALLOC malloc
201: #endif
202:
203: #include "ctype.h"
204: #include "errno.h"
205:
206: #ifdef Bad_float_h
207: #ifdef IEEE_BIG_ENDIAN
208: #define IEEE_ARITHMETIC
209: #endif
210: #ifdef IEEE_LITTLE_ENDIAN
211: #define IEEE_ARITHMETIC
212: #endif
213:
214: #ifdef IEEE_ARITHMETIC
215: #define DBL_DIG 15
216: #define DBL_MAX_10_EXP 308
217: #define DBL_MAX_EXP 1024
218: #define FLT_RADIX 2
219: #define FLT_ROUNDS 1
220: #define DBL_MAX 1.7976931348623157e+308
221: #endif
222:
223: #ifdef IBM
224: #define DBL_DIG 16
225: #define DBL_MAX_10_EXP 75
226: #define DBL_MAX_EXP 63
227: #define FLT_RADIX 16
228: #define FLT_ROUNDS 0
229: #define DBL_MAX 7.2370055773322621e+75
230: #endif
231:
232: #ifdef VAX
233: #define DBL_DIG 16
234: #define DBL_MAX_10_EXP 38
235: #define DBL_MAX_EXP 127
236: #define FLT_RADIX 2
237: #define FLT_ROUNDS 1
238: #define DBL_MAX 1.7014118346046923e+38
239: #endif
240:
241:
242: #ifndef LONG_MAX
243: #define LONG_MAX 2147483647
244: #endif
245: #else
246: #include "float.h"
247: #endif
248: #ifndef __MATH_H__
249: #include "math.h"
250: #endif
251:
252: BEGIN_EXTERN_C()
253:
254: #ifndef CONST
255: #ifdef KR_headers
256: #define CONST /* blank */
257: #else
258: #define CONST const
259: #endif
260: #endif
261:
262: #ifdef Unsigned_Shifts
263: #define Sign_Extend(a,b) if (b < 0) a |= 0xffff0000;
264: #else
265: #define Sign_Extend(a,b) /*no-op*/
266: #endif
267:
268: #if defined(IEEE_LITTLE_ENDIAN) + defined(IEEE_BIG_ENDIAN) + defined(VAX) + \
269: defined(IBM) != 1
270: Exactly one of IEEE_LITTLE_ENDIAN IEEE_BIG_ENDIAN, VAX, or
271: IBM should be defined.
272: #endif
273:
274: typedef union {
275: double d;
276: ULong ul[2];
277: } _double;
278: #define value(x) ((x).d)
279: #ifdef IEEE_LITTLE_ENDIAN
280: #define word0(x) ((x).ul[1])
281: #define word1(x) ((x).ul[0])
282: #else
283: #define word0(x) ((x).ul[0])
284: #define word1(x) ((x).ul[1])
285: #endif
286:
287: /* The following definition of Storeinc is appropriate for MIPS processors.
288: * An alternative that might be better on some machines is
289: * #define Storeinc(a,b,c) (*a++ = b << 16 | c & 0xffff)
290: */
291: #if defined(IEEE_LITTLE_ENDIAN) + defined(VAX) + defined(__arm__)
292: #define Storeinc(a,b,c) (((unsigned short *)a)[1] = (unsigned short)b, \
293: ((unsigned short *)a)[0] = (unsigned short)c, a++)
294: #else
295: #define Storeinc(a,b,c) (((unsigned short *)a)[0] = (unsigned short)b, \
296: ((unsigned short *)a)[1] = (unsigned short)c, a++)
297: #endif
298:
299: /* #define P DBL_MANT_DIG */
300: /* Ten_pmax = floor(P*log(2)/log(5)) */
301: /* Bletch = (highest power of 2 < DBL_MAX_10_EXP) / 16 */
302: /* Quick_max = floor((P-1)*log(FLT_RADIX)/log(10) - 1) */
303: /* Int_max = floor(P*log(FLT_RADIX)/log(10) - 1) */
304:
305: #if defined(IEEE_LITTLE_ENDIAN) + defined(IEEE_BIG_ENDIAN)
306: #define Exp_shift 20
307: #define Exp_shift1 20
308: #define Exp_msk1 0x100000
309: #define Exp_msk11 0x100000
310: #define Exp_mask 0x7ff00000
311: #define P 53
312: #define Bias 1023
313: #define IEEE_Arith
314: #define Emin (-1022)
315: #define Exp_1 0x3ff00000
316: #define Exp_11 0x3ff00000
317: #define Ebits 11
318: #define Frac_mask 0xfffff
319: #define Frac_mask1 0xfffff
320: #define Ten_pmax 22
321: #define Bletch 0x10
322: #define Bndry_mask 0xfffff
323: #define Bndry_mask1 0xfffff
324: #define LSB 1
325: #define Sign_bit 0x80000000
326: #define Log2P 1
327: #define Tiny0 0
328: #define Tiny1 1
329: #define Quick_max 14
330: #define Int_max 14
331: #define Infinite(x) (word0(x) == 0x7ff00000) /* sufficient test for here */
332: #else
333: #undef Sudden_Underflow
334: #define Sudden_Underflow
335: #ifdef IBM
336: #define Exp_shift 24
337: #define Exp_shift1 24
338: #define Exp_msk1 0x1000000
339: #define Exp_msk11 0x1000000
340: #define Exp_mask 0x7f000000
341: #define P 14
342: #define Bias 65
343: #define Exp_1 0x41000000
344: #define Exp_11 0x41000000
345: #define Ebits 8 /* exponent has 7 bits, but 8 is the right value in b2d */
346: #define Frac_mask 0xffffff
347: #define Frac_mask1 0xffffff
348: #define Bletch 4
349: #define Ten_pmax 22
350: #define Bndry_mask 0xefffff
351: #define Bndry_mask1 0xffffff
352: #define LSB 1
353: #define Sign_bit 0x80000000
354: #define Log2P 4
355: #define Tiny0 0x100000
356: #define Tiny1 0
357: #define Quick_max 14
358: #define Int_max 15
359: #else /* VAX */
360: #define Exp_shift 23
361: #define Exp_shift1 7
362: #define Exp_msk1 0x80
363: #define Exp_msk11 0x800000
364: #define Exp_mask 0x7f80
365: #define P 56
366: #define Bias 129
367: #define Exp_1 0x40800000
368: #define Exp_11 0x4080
369: #define Ebits 8
370: #define Frac_mask 0x7fffff
371: #define Frac_mask1 0xffff007f
372: #define Ten_pmax 24
373: #define Bletch 2
374: #define Bndry_mask 0xffff007f
375: #define Bndry_mask1 0xffff007f
376: #define LSB 0x10000
377: #define Sign_bit 0x8000
378: #define Log2P 1
379: #define Tiny0 0x80
380: #define Tiny1 0
381: #define Quick_max 15
382: #define Int_max 15
383: #endif
384: #endif
385:
386: #ifndef IEEE_Arith
387: #define ROUND_BIASED
388: #endif
389:
390: #ifdef RND_PRODQUOT
391: #define rounded_product(a,b) a = rnd_prod(a, b)
392: #define rounded_quotient(a,b) a = rnd_quot(a, b)
393: #ifdef KR_headers
394: extern double rnd_prod(), rnd_quot();
395: #else
396: extern double rnd_prod(double, double), rnd_quot(double, double);
397: #endif
398: #else
399: #define rounded_product(a,b) a *= b
400: #define rounded_quotient(a,b) a /= b
401: #endif
402:
403: #define Big0 (Frac_mask1 | Exp_msk1*(DBL_MAX_EXP+Bias-1))
404: #define Big1 0xffffffff
405:
406: #ifndef Just_16
407: /* When Pack_32 is not defined, we store 16 bits per 32-bit Long.
408: * * This makes some inner loops simpler and sometimes saves work
409: * * during multiplications, but it often seems to make things slightly
410: * * slower. Hence the default is now to store 32 bits per Long.
411: * */
412: #ifndef Pack_32
413: #define Pack_32
414: #endif
415: #endif
416:
417: #define Kmax 15
418:
419: struct Bigint {
420: struct Bigint *next;
421: int k, maxwds, sign, wds;
422: ULong x[1];
423: };
424:
425: typedef struct Bigint Bigint;
426:
427: /* static variables, multithreading fun! */
428: static Bigint *freelist[Kmax+1];
429: static Bigint *p5s;
430:
431: static void destroy_freelist(void);
432:
433: #ifdef ZTS
434:
435: static MUTEX_T dtoa_mutex;
436: static MUTEX_T pow5mult_mutex;
437:
438: #define _THREAD_PRIVATE_MUTEX_LOCK(x) tsrm_mutex_lock(x);
439: #define _THREAD_PRIVATE_MUTEX_UNLOCK(x) tsrm_mutex_unlock(x);
440:
441: #else
442:
443: #define _THREAD_PRIVATE_MUTEX_LOCK(x)
444: #define _THREAD_PRIVATE_MUTEX_UNLOCK(x)
445:
446: #endif /* ZTS */
447:
448: #ifdef DEBUG
449: static void Bug(const char *message) {
450: fprintf(stderr, "%s\n", message);
451: }
452: #endif
453:
454: ZEND_API int zend_startup_strtod(void) /* {{{ */
455: {
456: #ifdef ZTS
457: dtoa_mutex = tsrm_mutex_alloc();
458: pow5mult_mutex = tsrm_mutex_alloc();
459: #endif
460: return 1;
461: }
462: /* }}} */
463: ZEND_API int zend_shutdown_strtod(void) /* {{{ */
464: {
465: destroy_freelist();
466: #ifdef ZTS
467: tsrm_mutex_free(dtoa_mutex);
468: dtoa_mutex = NULL;
469:
470: tsrm_mutex_free(pow5mult_mutex);
471: pow5mult_mutex = NULL;
472: #endif
473: return 1;
474: }
475: /* }}} */
476:
477: static Bigint * Balloc(int k)
478: {
479: int x;
480: Bigint *rv;
481:
482: if (k > Kmax) {
483: zend_error(E_ERROR, "Balloc() allocation exceeds list boundary");
484: }
485:
486: _THREAD_PRIVATE_MUTEX_LOCK(dtoa_mutex);
487: if ((rv = freelist[k])) {
488: freelist[k] = rv->next;
489: } else {
490: x = 1 << k;
491: rv = (Bigint *)MALLOC(sizeof(Bigint) + (x-1)*sizeof(Long));
492: if (!rv) {
493: _THREAD_PRIVATE_MUTEX_UNLOCK(dtoa_mutex);
494: zend_error(E_ERROR, "Balloc() failed to allocate memory");
495: }
496: rv->k = k;
497: rv->maxwds = x;
498: }
499: _THREAD_PRIVATE_MUTEX_UNLOCK(dtoa_mutex);
500: rv->sign = rv->wds = 0;
501: return rv;
502: }
503:
504: static void Bfree(Bigint *v)
505: {
506: if (v) {
507: _THREAD_PRIVATE_MUTEX_LOCK(dtoa_mutex);
508: v->next = freelist[v->k];
509: freelist[v->k] = v;
510: _THREAD_PRIVATE_MUTEX_UNLOCK(dtoa_mutex);
511: }
512: }
513:
514: #define Bcopy(x,y) memcpy((char *)&x->sign, (char *)&y->sign, \
515: y->wds*sizeof(Long) + 2*sizeof(int))
516:
517: /* return value is only used as a simple string, so mis-aligned parts
518: * inside the Bigint are not at risk on strict align architectures
519: */
520: static char * rv_alloc(int i) {
521: int j, k, *r;
522:
523: j = sizeof(ULong);
524: for(k = 0;
525: sizeof(Bigint) - sizeof(ULong) - sizeof(int) + j <= i;
526: j <<= 1) {
527: k++;
528: }
529: r = (int*)Balloc(k);
530: *r = k;
531: return (char *)(r+1);
532: }
533:
534:
535: static char * nrv_alloc(char *s, char **rve, int n)
536: {
537: char *rv, *t;
538:
539: t = rv = rv_alloc(n);
540: while((*t = *s++) !=0) {
541: t++;
542: }
543: if (rve) {
544: *rve = t;
545: }
546: return rv;
547: }
548:
549: static Bigint * multadd(Bigint *b, int m, int a) /* multiply by m and add a */
550: {
551: int i, wds;
552: ULong *x, y;
553: #ifdef Pack_32
554: ULong xi, z;
555: #endif
556: Bigint *b1;
557:
558: wds = b->wds;
559: x = b->x;
560: i = 0;
561: do {
562: #ifdef Pack_32
563: xi = *x;
564: y = (xi & 0xffff) * m + a;
565: z = (xi >> 16) * m + (y >> 16);
566: a = (int)(z >> 16);
567: *x++ = (z << 16) + (y & 0xffff);
568: #else
569: y = *x * m + a;
570: a = (int)(y >> 16);
571: *x++ = y & 0xffff;
572: #endif
573: }
574: while(++i < wds);
575: if (a) {
576: if (wds >= b->maxwds) {
577: b1 = Balloc(b->k+1);
578: Bcopy(b1, b);
579: Bfree(b);
580: b = b1;
581: }
582: b->x[wds++] = a;
583: b->wds = wds;
584: }
585: return b;
586: }
587:
588: static int hi0bits(ULong x)
589: {
590: int k = 0;
591:
592: if (!(x & 0xffff0000)) {
593: k = 16;
594: x <<= 16;
595: }
596: if (!(x & 0xff000000)) {
597: k += 8;
598: x <<= 8;
599: }
600: if (!(x & 0xf0000000)) {
601: k += 4;
602: x <<= 4;
603: }
604: if (!(x & 0xc0000000)) {
605: k += 2;
606: x <<= 2;
607: }
608: if (!(x & 0x80000000)) {
609: k++;
610: if (!(x & 0x40000000)) {
611: return 32;
612: }
613: }
614: return k;
615: }
616:
617: static int lo0bits(ULong *y)
618: {
619: int k;
620: ULong x = *y;
621:
622: if (x & 7) {
623: if (x & 1) {
624: return 0;
625: }
626: if (x & 2) {
627: *y = x >> 1;
628: return 1;
629: }
630: *y = x >> 2;
631: return 2;
632: }
633: k = 0;
634: if (!(x & 0xffff)) {
635: k = 16;
636: x >>= 16;
637: }
638: if (!(x & 0xff)) {
639: k += 8;
640: x >>= 8;
641: }
642: if (!(x & 0xf)) {
643: k += 4;
644: x >>= 4;
645: }
646: if (!(x & 0x3)) {
647: k += 2;
648: x >>= 2;
649: }
650: if (!(x & 1)) {
651: k++;
652: x >>= 1;
653: if (!(x & 1)) {
654: return 32;
655: }
656: }
657: *y = x;
658: return k;
659: }
660:
661: static Bigint * i2b(int i)
662: {
663: Bigint *b;
664:
665: b = Balloc(1);
666: b->x[0] = i;
667: b->wds = 1;
668: return b;
669: }
670:
671: static Bigint * mult(Bigint *a, Bigint *b)
672: {
673: Bigint *c;
674: int k, wa, wb, wc;
675: ULong carry, y, z;
676: ULong *x, *xa, *xae, *xb, *xbe, *xc, *xc0;
677: #ifdef Pack_32
678: ULong z2;
679: #endif
680:
681: if (a->wds < b->wds) {
682: c = a;
683: a = b;
684: b = c;
685: }
686: k = a->k;
687: wa = a->wds;
688: wb = b->wds;
689: wc = wa + wb;
690: if (wc > a->maxwds) {
691: k++;
692: }
693: c = Balloc(k);
694: for(x = c->x, xa = x + wc; x < xa; x++) {
695: *x = 0;
696: }
697: xa = a->x;
698: xae = xa + wa;
699: xb = b->x;
700: xbe = xb + wb;
701: xc0 = c->x;
702: #ifdef Pack_32
703: for(; xb < xbe; xb++, xc0++) {
704: if ((y = *xb & 0xffff)) {
705: x = xa;
706: xc = xc0;
707: carry = 0;
708: do {
709: z = (*x & 0xffff) * y + (*xc & 0xffff) + carry;
710: carry = z >> 16;
711: z2 = (*x++ >> 16) * y + (*xc >> 16) + carry;
712: carry = z2 >> 16;
713: Storeinc(xc, z2, z);
714: }
715: while(x < xae);
716: *xc = carry;
717: }
718: if ((y = *xb >> 16)) {
719: x = xa;
720: xc = xc0;
721: carry = 0;
722: z2 = *xc;
723: do {
724: z = (*x & 0xffff) * y + (*xc >> 16) + carry;
725: carry = z >> 16;
726: Storeinc(xc, z, z2);
727: z2 = (*x++ >> 16) * y + (*xc & 0xffff) + carry;
728: carry = z2 >> 16;
729: }
730: while(x < xae);
731: *xc = z2;
732: }
733: }
734: #else
735: for(; xb < xbe; xc0++) {
736: if (y = *xb++) {
737: x = xa;
738: xc = xc0;
739: carry = 0;
740: do {
741: z = *x++ * y + *xc + carry;
742: carry = z >> 16;
743: *xc++ = z & 0xffff;
744: }
745: while(x < xae);
746: *xc = carry;
747: }
748: }
749: #endif
750: for(xc0 = c->x, xc = xc0 + wc; wc > 0 && !*--xc; --wc) ;
751: c->wds = wc;
752: return c;
753: }
754:
755: static Bigint * s2b (CONST char *s, int nd0, int nd, ULong y9)
756: {
757: Bigint *b;
758: int i, k;
759: Long x, y;
760:
761: x = (nd + 8) / 9;
762: for(k = 0, y = 1; x > y; y <<= 1, k++) ;
763: #ifdef Pack_32
764: b = Balloc(k);
765: b->x[0] = y9;
766: b->wds = 1;
767: #else
768: b = Balloc(k+1);
769: b->x[0] = y9 & 0xffff;
770: b->wds = (b->x[1] = y9 >> 16) ? 2 : 1;
771: #endif
772:
773: i = 9;
774: if (9 < nd0) {
775: s += 9;
776: do b = multadd(b, 10, *s++ - '0');
777: while(++i < nd0);
778: s++;
779: } else {
780: s += 10;
781: }
782: for(; i < nd; i++) {
783: b = multadd(b, 10, *s++ - '0');
784: }
785: return b;
786: }
787:
788: static Bigint * pow5mult(Bigint *b, int k)
789: {
790: Bigint *b1, *p5, *p51;
791: int i;
792: static int p05[3] = { 5, 25, 125 };
793:
794: _THREAD_PRIVATE_MUTEX_LOCK(pow5mult_mutex);
795: if ((i = k & 3)) {
796: b = multadd(b, p05[i-1], 0);
797: }
798:
799: if (!(k >>= 2)) {
800: _THREAD_PRIVATE_MUTEX_UNLOCK(pow5mult_mutex);
801: return b;
802: }
803: if (!(p5 = p5s)) {
804: /* first time */
805: p5 = p5s = i2b(625);
806: p5->next = 0;
807: }
808: for(;;) {
809: if (k & 1) {
810: b1 = mult(b, p5);
811: Bfree(b);
812: b = b1;
813: }
814: if (!(k >>= 1)) {
815: break;
816: }
817: if (!(p51 = p5->next)) {
818: if (!(p51 = p5->next)) {
819: p51 = p5->next = mult(p5,p5);
820: p51->next = 0;
821: }
822: }
823: p5 = p51;
824: }
825: _THREAD_PRIVATE_MUTEX_UNLOCK(pow5mult_mutex);
826: return b;
827: }
828:
829:
830: static Bigint *lshift(Bigint *b, int k)
831: {
832: int i, k1, n, n1;
833: Bigint *b1;
834: ULong *x, *x1, *xe, z;
835:
836: #ifdef Pack_32
837: n = k >> 5;
838: #else
839: n = k >> 4;
840: #endif
841: k1 = b->k;
842: n1 = n + b->wds + 1;
843: for(i = b->maxwds; n1 > i; i <<= 1) {
844: k1++;
845: }
846: b1 = Balloc(k1);
847: x1 = b1->x;
848: for(i = 0; i < n; i++) {
849: *x1++ = 0;
850: }
851: x = b->x;
852: xe = x + b->wds;
853: #ifdef Pack_32
854: if (k &= 0x1f) {
855: k1 = 32 - k;
856: z = 0;
857: do {
858: *x1++ = *x << k | z;
859: z = *x++ >> k1;
860: }
861: while(x < xe);
862: if ((*x1 = z)) {
863: ++n1;
864: }
865: }
866: #else
867: if (k &= 0xf) {
868: k1 = 16 - k;
869: z = 0;
870: do {
871: *x1++ = *x << k & 0xffff | z;
872: z = *x++ >> k1;
873: }
874: while(x < xe);
875: if (*x1 = z) {
876: ++n1;
877: }
878: }
879: #endif
880: else do
881: *x1++ = *x++;
882: while(x < xe);
883: b1->wds = n1 - 1;
884: Bfree(b);
885: return b1;
886: }
887:
888: static int cmp(Bigint *a, Bigint *b)
889: {
890: ULong *xa, *xa0, *xb, *xb0;
891: int i, j;
892:
893: i = a->wds;
894: j = b->wds;
895: #ifdef DEBUG
896: if (i > 1 && !a->x[i-1])
897: Bug("cmp called with a->x[a->wds-1] == 0");
898: if (j > 1 && !b->x[j-1])
899: Bug("cmp called with b->x[b->wds-1] == 0");
900: #endif
901: if (i -= j)
902: return i;
903: xa0 = a->x;
904: xa = xa0 + j;
905: xb0 = b->x;
906: xb = xb0 + j;
907: for(;;) {
908: if (*--xa != *--xb)
909: return *xa < *xb ? -1 : 1;
910: if (xa <= xa0)
911: break;
912: }
913: return 0;
914: }
915:
916:
917: static Bigint * diff(Bigint *a, Bigint *b)
918: {
919: Bigint *c;
920: int i, wa, wb;
921: Long borrow, y; /* We need signed shifts here. */
922: ULong *xa, *xae, *xb, *xbe, *xc;
923: #ifdef Pack_32
924: Long z;
925: #endif
926:
927: i = cmp(a,b);
928: if (!i) {
929: c = Balloc(0);
930: c->wds = 1;
931: c->x[0] = 0;
932: return c;
933: }
934: if (i < 0) {
935: c = a;
936: a = b;
937: b = c;
938: i = 1;
939: } else {
940: i = 0;
941: }
942: c = Balloc(a->k);
943: c->sign = i;
944: wa = a->wds;
945: xa = a->x;
946: xae = xa + wa;
947: wb = b->wds;
948: xb = b->x;
949: xbe = xb + wb;
950: xc = c->x;
951: borrow = 0;
952: #ifdef Pack_32
953: do {
954: y = (*xa & 0xffff) - (*xb & 0xffff) + borrow;
955: borrow = y >> 16;
956: Sign_Extend(borrow, y);
957: z = (*xa++ >> 16) - (*xb++ >> 16) + borrow;
958: borrow = z >> 16;
959: Sign_Extend(borrow, z);
960: Storeinc(xc, z, y);
961: } while(xb < xbe);
962: while(xa < xae) {
963: y = (*xa & 0xffff) + borrow;
964: borrow = y >> 16;
965: Sign_Extend(borrow, y);
966: z = (*xa++ >> 16) + borrow;
967: borrow = z >> 16;
968: Sign_Extend(borrow, z);
969: Storeinc(xc, z, y);
970: }
971: #else
972: do {
973: y = *xa++ - *xb++ + borrow;
974: borrow = y >> 16;
975: Sign_Extend(borrow, y);
976: *xc++ = y & 0xffff;
977: } while(xb < xbe);
978: while(xa < xae) {
979: y = *xa++ + borrow;
980: borrow = y >> 16;
981: Sign_Extend(borrow, y);
982: *xc++ = y & 0xffff;
983: }
984: #endif
985: while(!*--xc) {
986: wa--;
987: }
988: c->wds = wa;
989: return c;
990: }
991:
992: static double ulp (double _x)
993: {
994: volatile _double x;
995: register Long L;
996: volatile _double a;
997:
998: value(x) = _x;
999: L = (word0(x) & Exp_mask) - (P-1)*Exp_msk1;
1000: #ifndef Sudden_Underflow
1001: if (L > 0) {
1002: #endif
1003: #ifdef IBM
1004: L |= Exp_msk1 >> 4;
1005: #endif
1006: word0(a) = L;
1007: word1(a) = 0;
1008: #ifndef Sudden_Underflow
1009: }
1010: else {
1011: L = -L >> Exp_shift;
1012: if (L < Exp_shift) {
1013: word0(a) = 0x80000 >> L;
1014: word1(a) = 0;
1015: }
1016: else {
1017: word0(a) = 0;
1018: L -= Exp_shift;
1019: word1(a) = L >= 31 ? 1 : 1 << (31 - L);
1020: }
1021: }
1022: #endif
1023: return value(a);
1024: }
1025:
1026: static double
1027: b2d
1028: #ifdef KR_headers
1029: (a, e) Bigint *a; int *e;
1030: #else
1031: (Bigint *a, int *e)
1032: #endif
1033: {
1034: ULong *xa, *xa0, w, y, z;
1035: int k;
1036: volatile _double d;
1037: #ifdef VAX
1038: ULong d0, d1;
1039: #else
1040: #define d0 word0(d)
1041: #define d1 word1(d)
1042: #endif
1043:
1044: xa0 = a->x;
1045: xa = xa0 + a->wds;
1046: y = *--xa;
1047: #ifdef DEBUG
1048: if (!y) Bug("zero y in b2d");
1049: #endif
1050: k = hi0bits(y);
1051: *e = 32 - k;
1052: #ifdef Pack_32
1053: if (k < Ebits) {
1054: d0 = Exp_1 | y >> (Ebits - k);
1055: w = xa > xa0 ? *--xa : 0;
1056: d1 = y << ((32-Ebits) + k) | w >> (Ebits - k);
1057: goto ret_d;
1058: }
1059: z = xa > xa0 ? *--xa : 0;
1060: if (k -= Ebits) {
1061: d0 = Exp_1 | y << k | z >> (32 - k);
1062: y = xa > xa0 ? *--xa : 0;
1063: d1 = z << k | y >> (32 - k);
1064: }
1065: else {
1066: d0 = Exp_1 | y;
1067: d1 = z;
1068: }
1069: #else
1070: if (k < Ebits + 16) {
1071: z = xa > xa0 ? *--xa : 0;
1072: d0 = Exp_1 | y << k - Ebits | z >> Ebits + 16 - k;
1073: w = xa > xa0 ? *--xa : 0;
1074: y = xa > xa0 ? *--xa : 0;
1075: d1 = z << k + 16 - Ebits | w << k - Ebits | y >> 16 + Ebits - k;
1076: goto ret_d;
1077: }
1078: z = xa > xa0 ? *--xa : 0;
1079: w = xa > xa0 ? *--xa : 0;
1080: k -= Ebits + 16;
1081: d0 = Exp_1 | y << k + 16 | z << k | w >> 16 - k;
1082: y = xa > xa0 ? *--xa : 0;
1083: d1 = w << k + 16 | y << k;
1084: #endif
1085: ret_d:
1086: #ifdef VAX
1087: word0(d) = d0 >> 16 | d0 << 16;
1088: word1(d) = d1 >> 16 | d1 << 16;
1089: #else
1090: #undef d0
1091: #undef d1
1092: #endif
1093: return value(d);
1094: }
1095:
1096:
1097: static Bigint * d2b(double _d, int *e, int *bits)
1098: {
1099: Bigint *b;
1100: int de, i, k;
1101: ULong *x, y, z;
1102: volatile _double d;
1103: #ifdef VAX
1104: ULong d0, d1;
1105: #endif
1106:
1107: value(d) = _d;
1108: #ifdef VAX
1109: d0 = word0(d) >> 16 | word0(d) << 16;
1110: d1 = word1(d) >> 16 | word1(d) << 16;
1111: #else
1112: #define d0 word0(d)
1113: #define d1 word1(d)
1114: #endif
1115:
1116: #ifdef Pack_32
1117: b = Balloc(1);
1118: #else
1119: b = Balloc(2);
1120: #endif
1121: x = b->x;
1122:
1123: z = d0 & Frac_mask;
1124: d0 &= 0x7fffffff; /* clear sign bit, which we ignore */
1125: #ifdef Sudden_Underflow
1126: de = (int)(d0 >> Exp_shift);
1127: #ifndef IBM
1128: z |= Exp_msk11;
1129: #endif
1130: #else
1131: if ((de = (int)(d0 >> Exp_shift)))
1132: z |= Exp_msk1;
1133: #endif
1134: #ifdef Pack_32
1135: if ((y = d1)) {
1136: if ((k = lo0bits(&y))) {
1137: x[0] = y | (z << (32 - k));
1138: z >>= k;
1139: } else {
1140: x[0] = y;
1141: }
1142: i = b->wds = (x[1] = z) ? 2 : 1;
1143: } else {
1144: #ifdef DEBUG
1145: if (!z)
1146: Bug("Zero passed to d2b");
1147: #endif
1148: k = lo0bits(&z);
1149: x[0] = z;
1150: i = b->wds = 1;
1151: k += 32;
1152: }
1153: #else
1154: if (y = d1) {
1155: if (k = lo0bits(&y)) {
1156: if (k >= 16) {
1157: x[0] = y | z << 32 - k & 0xffff;
1158: x[1] = z >> k - 16 & 0xffff;
1159: x[2] = z >> k;
1160: i = 2;
1161: } else {
1162: x[0] = y & 0xffff;
1163: x[1] = y >> 16 | z << 16 - k & 0xffff;
1164: x[2] = z >> k & 0xffff;
1165: x[3] = z >> k+16;
1166: i = 3;
1167: }
1168: } else {
1169: x[0] = y & 0xffff;
1170: x[1] = y >> 16;
1171: x[2] = z & 0xffff;
1172: x[3] = z >> 16;
1173: i = 3;
1174: }
1175: } else {
1176: #ifdef DEBUG
1177: if (!z)
1178: Bug("Zero passed to d2b");
1179: #endif
1180: k = lo0bits(&z);
1181: if (k >= 16) {
1182: x[0] = z;
1183: i = 0;
1184: } else {
1185: x[0] = z & 0xffff;
1186: x[1] = z >> 16;
1187: i = 1;
1188: }
1189: k += 32;
1190: }
1191: while(!x[i])
1192: --i;
1193: b->wds = i + 1;
1194: #endif
1195: #ifndef Sudden_Underflow
1196: if (de) {
1197: #endif
1198: #ifdef IBM
1199: *e = (de - Bias - (P-1) << 2) + k;
1200: *bits = 4*P + 8 - k - hi0bits(word0(d) & Frac_mask);
1201: #else
1202: *e = de - Bias - (P-1) + k;
1203: *bits = P - k;
1204: #endif
1205: #ifndef Sudden_Underflow
1206: } else {
1207: *e = de - Bias - (P-1) + 1 + k;
1208: #ifdef Pack_32
1209: *bits = 32*i - hi0bits(x[i-1]);
1210: #else
1211: *bits = (i+2)*16 - hi0bits(x[i]);
1212: #endif
1213: }
1214: #endif
1215: return b;
1216: }
1217: #undef d0
1218: #undef d1
1219:
1220:
1221: static double ratio (Bigint *a, Bigint *b)
1222: {
1223: volatile _double da, db;
1224: int k, ka, kb;
1225:
1226: value(da) = b2d(a, &ka);
1227: value(db) = b2d(b, &kb);
1228: #ifdef Pack_32
1229: k = ka - kb + 32*(a->wds - b->wds);
1230: #else
1231: k = ka - kb + 16*(a->wds - b->wds);
1232: #endif
1233: #ifdef IBM
1234: if (k > 0) {
1235: word0(da) += (k >> 2)*Exp_msk1;
1236: if (k &= 3) {
1237: da *= 1 << k;
1238: }
1239: } else {
1240: k = -k;
1241: word0(db) += (k >> 2)*Exp_msk1;
1242: if (k &= 3)
1243: db *= 1 << k;
1244: }
1245: #else
1246: if (k > 0) {
1247: word0(da) += k*Exp_msk1;
1248: } else {
1249: k = -k;
1250: word0(db) += k*Exp_msk1;
1251: }
1252: #endif
1253: return value(da) / value(db);
1254: }
1255:
1256: static CONST double
1257: tens[] = {
1258: 1e0, 1e1, 1e2, 1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9,
1259: 1e10, 1e11, 1e12, 1e13, 1e14, 1e15, 1e16, 1e17, 1e18, 1e19,
1260: 1e20, 1e21, 1e22
1261: #ifdef VAX
1262: , 1e23, 1e24
1263: #endif
1264: };
1265:
1266: #ifdef IEEE_Arith
1267: static CONST double bigtens[] = { 1e16, 1e32, 1e64, 1e128, 1e256 };
1268: static CONST double tinytens[] = { 1e-16, 1e-32, 1e-64, 1e-128, 1e-256 };
1269: #define n_bigtens 5
1270: #else
1271: #ifdef IBM
1272: static CONST double bigtens[] = { 1e16, 1e32, 1e64 };
1273: static CONST double tinytens[] = { 1e-16, 1e-32, 1e-64 };
1274: #define n_bigtens 3
1275: #else
1276: static CONST double bigtens[] = { 1e16, 1e32 };
1277: static CONST double tinytens[] = { 1e-16, 1e-32 };
1278: #define n_bigtens 2
1279: #endif
1280: #endif
1281:
1282:
1283: static int quorem(Bigint *b, Bigint *S)
1284: {
1285: int n;
1286: Long borrow, y;
1287: ULong carry, q, ys;
1288: ULong *bx, *bxe, *sx, *sxe;
1289: #ifdef Pack_32
1290: Long z;
1291: ULong si, zs;
1292: #endif
1293:
1294: n = S->wds;
1295: #ifdef DEBUG
1296: /*debug*/ if (b->wds > n)
1297: /*debug*/ Bug("oversize b in quorem");
1298: #endif
1299: if (b->wds < n)
1300: return 0;
1301: sx = S->x;
1302: sxe = sx + --n;
1303: bx = b->x;
1304: bxe = bx + n;
1305: q = *bxe / (*sxe + 1); /* ensure q <= true quotient */
1306: #ifdef DEBUG
1307: /*debug*/ if (q > 9)
1308: /*debug*/ Bug("oversized quotient in quorem");
1309: #endif
1310: if (q) {
1311: borrow = 0;
1312: carry = 0;
1313: do {
1314: #ifdef Pack_32
1315: si = *sx++;
1316: ys = (si & 0xffff) * q + carry;
1317: zs = (si >> 16) * q + (ys >> 16);
1318: carry = zs >> 16;
1319: y = (*bx & 0xffff) - (ys & 0xffff) + borrow;
1320: borrow = y >> 16;
1321: Sign_Extend(borrow, y);
1322: z = (*bx >> 16) - (zs & 0xffff) + borrow;
1323: borrow = z >> 16;
1324: Sign_Extend(borrow, z);
1325: Storeinc(bx, z, y);
1326: #else
1327: ys = *sx++ * q + carry;
1328: carry = ys >> 16;
1329: y = *bx - (ys & 0xffff) + borrow;
1330: borrow = y >> 16;
1331: Sign_Extend(borrow, y);
1332: *bx++ = y & 0xffff;
1333: #endif
1334: }
1335: while(sx <= sxe);
1336: if (!*bxe) {
1337: bx = b->x;
1338: while(--bxe > bx && !*bxe)
1339: --n;
1340: b->wds = n;
1341: }
1342: }
1343: if (cmp(b, S) >= 0) {
1344: q++;
1345: borrow = 0;
1346: carry = 0;
1347: bx = b->x;
1348: sx = S->x;
1349: do {
1350: #ifdef Pack_32
1351: si = *sx++;
1352: ys = (si & 0xffff) + carry;
1353: zs = (si >> 16) + (ys >> 16);
1354: carry = zs >> 16;
1355: y = (*bx & 0xffff) - (ys & 0xffff) + borrow;
1356: borrow = y >> 16;
1357: Sign_Extend(borrow, y);
1358: z = (*bx >> 16) - (zs & 0xffff) + borrow;
1359: borrow = z >> 16;
1360: Sign_Extend(borrow, z);
1361: Storeinc(bx, z, y);
1362: #else
1363: ys = *sx++ + carry;
1364: carry = ys >> 16;
1365: y = *bx - (ys & 0xffff) + borrow;
1366: borrow = y >> 16;
1367: Sign_Extend(borrow, y);
1368: *bx++ = y & 0xffff;
1369: #endif
1370: }
1371: while(sx <= sxe);
1372: bx = b->x;
1373: bxe = bx + n;
1374: if (!*bxe) {
1375: while(--bxe > bx && !*bxe)
1376: --n;
1377: b->wds = n;
1378: }
1379: }
1380: return q;
1381: }
1382:
1383: static void destroy_freelist(void)
1384: {
1385: int i;
1386: Bigint *tmp;
1387:
1388: _THREAD_PRIVATE_MUTEX_LOCK(dtoa_mutex);
1389: for (i = 0; i <= Kmax; i++) {
1390: Bigint **listp = &freelist[i];
1391: while ((tmp = *listp) != NULL) {
1392: *listp = tmp->next;
1393: free(tmp);
1394: }
1395: freelist[i] = NULL;
1396: }
1397: _THREAD_PRIVATE_MUTEX_UNLOCK(dtoa_mutex);
1398:
1399: }
1400:
1401:
1402: ZEND_API void zend_freedtoa(char *s)
1403: {
1404: Bigint *b = (Bigint *)((int *)s - 1);
1405: b->maxwds = 1 << (b->k = *(int*)b);
1406: Bfree(b);
1407: }
1408:
1409: /* dtoa for IEEE arithmetic (dmg): convert double to ASCII string.
1410: *
1411: * Inspired by "How to Print Floating-Point Numbers Accurately" by
1412: * Guy L. Steele, Jr. and Jon L. White [Proc. ACM SIGPLAN '90, pp. 92-101].
1413: *
1414: * Modifications:
1415: * 1. Rather than iterating, we use a simple numeric overestimate
1416: * to determine k = floor(log10(d)). We scale relevant
1417: * quantities using O(log2(k)) rather than O(k) multiplications.
1418: * 2. For some modes > 2 (corresponding to ecvt and fcvt), we don't
1419: * try to generate digits strictly left to right. Instead, we
1420: * compute with fewer bits and propagate the carry if necessary
1421: * when rounding the final digit up. This is often faster.
1422: * 3. Under the assumption that input will be rounded nearest,
1423: * mode 0 renders 1e23 as 1e23 rather than 9.999999999999999e22.
1424: * That is, we allow equality in stopping tests when the
1425: * round-nearest rule will give the same floating-point value
1426: * as would satisfaction of the stopping test with strict
1427: * inequality.
1428: * 4. We remove common factors of powers of 2 from relevant
1429: * quantities.
1430: * 5. When converting floating-point integers less than 1e16,
1431: * we use floating-point arithmetic rather than resorting
1432: * to multiple-precision integers.
1433: * 6. When asked to produce fewer than 15 digits, we first try
1434: * to get by with floating-point arithmetic; we resort to
1435: * multiple-precision integer arithmetic only if we cannot
1436: * guarantee that the floating-point calculation has given
1437: * the correctly rounded result. For k requested digits and
1438: * "uniformly" distributed input, the probability is
1439: * something like 10^(k-15) that we must resort to the Long
1440: * calculation.
1441: */
1442:
1443: ZEND_API char * zend_dtoa(double _d, int mode, int ndigits, int *decpt, int *sign, char **rve)
1444: {
1445: /* Arguments ndigits, decpt, sign are similar to those
1446: of ecvt and fcvt; trailing zeros are suppressed from
1447: the returned string. If not null, *rve is set to point
1448: to the end of the return value. If d is +-Infinity or NaN,
1449: then *decpt is set to 9999.
1450:
1451: mode:
1452: 0 ==> shortest string that yields d when read in
1453: and rounded to nearest.
1454: 1 ==> like 0, but with Steele & White stopping rule;
1455: e.g. with IEEE P754 arithmetic , mode 0 gives
1456: 1e23 whereas mode 1 gives 9.999999999999999e22.
1457: 2 ==> max(1,ndigits) significant digits. This gives a
1458: return value similar to that of ecvt, except
1459: that trailing zeros are suppressed.
1460: 3 ==> through ndigits past the decimal point. This
1461: gives a return value similar to that from fcvt,
1462: except that trailing zeros are suppressed, and
1463: ndigits can be negative.
1464: 4-9 should give the same return values as 2-3, i.e.,
1465: 4 <= mode <= 9 ==> same return as mode
1466: 2 + (mode & 1). These modes are mainly for
1467: debugging; often they run slower but sometimes
1468: faster than modes 2-3.
1469: 4,5,8,9 ==> left-to-right digit generation.
1470: 6-9 ==> don't try fast floating-point estimate
1471: (if applicable).
1472:
1473: Values of mode other than 0-9 are treated as mode 0.
1474:
1475: Sufficient space is allocated to the return value
1476: to hold the suppressed trailing zeros.
1477: */
1478:
1479: int bbits, b2, b5, be, dig, i, ieps, ilim = 0, ilim0, ilim1,
1480: j, j1, k, k0, k_check, leftright, m2, m5, s2, s5,
1481: spec_case = 0, try_quick;
1482: Long L;
1483: #ifndef Sudden_Underflow
1484: int denorm;
1485: ULong x;
1486: #endif
1487: Bigint *b, *b1, *delta, *mlo, *mhi, *S, *tmp;
1488: double ds;
1489: char *s, *s0;
1490: volatile _double d, d2, eps;
1491:
1492: value(d) = _d;
1493:
1494: if (word0(d) & Sign_bit) {
1495: /* set sign for everything, including 0's and NaNs */
1496: *sign = 1;
1497: word0(d) &= ~Sign_bit; /* clear sign bit */
1498: }
1499: else
1500: *sign = 0;
1501:
1502: #if defined(IEEE_Arith) + defined(VAX)
1503: #ifdef IEEE_Arith
1504: if ((word0(d) & Exp_mask) == Exp_mask)
1505: #else
1506: if (word0(d) == 0x8000)
1507: #endif
1508: {
1509: /* Infinity or NaN */
1510: *decpt = 9999;
1511: #ifdef IEEE_Arith
1512: if (!word1(d) && !(word0(d) & 0xfffff))
1513: return nrv_alloc("Infinity", rve, 8);
1514: #endif
1515: return nrv_alloc("NaN", rve, 3);
1516: }
1517: #endif
1518: #ifdef IBM
1519: value(d) += 0; /* normalize */
1520: #endif
1521: if (!value(d)) {
1522: *decpt = 1;
1523: return nrv_alloc("0", rve, 1);
1524: }
1525:
1526: b = d2b(value(d), &be, &bbits);
1527: #ifdef Sudden_Underflow
1528: i = (int)(word0(d) >> Exp_shift1 & (Exp_mask>>Exp_shift1));
1529: #else
1530: if ((i = (int)(word0(d) >> Exp_shift1 & (Exp_mask>>Exp_shift1)))) {
1531: #endif
1532: value(d2) = value(d);
1533: word0(d2) &= Frac_mask1;
1534: word0(d2) |= Exp_11;
1535: #ifdef IBM
1536: if (j = 11 - hi0bits(word0(d2) & Frac_mask))
1537: value(d2) /= 1 << j;
1538: #endif
1539:
1540: /* log(x) ~=~ log(1.5) + (x-1.5)/1.5
1541: * log10(x) = log(x) / log(10)
1542: * ~=~ log(1.5)/log(10) + (x-1.5)/(1.5*log(10))
1543: * log10(d) = (i-Bias)*log(2)/log(10) + log10(d2)
1544: *
1545: * This suggests computing an approximation k to log10(d) by
1546: *
1547: * k = (i - Bias)*0.301029995663981
1548: * + ( (d2-1.5)*0.289529654602168 + 0.176091259055681 );
1549: *
1550: * We want k to be too large rather than too small.
1551: * The error in the first-order Taylor series approximation
1552: * is in our favor, so we just round up the constant enough
1553: * to compensate for any error in the multiplication of
1554: * (i - Bias) by 0.301029995663981; since |i - Bias| <= 1077,
1555: * and 1077 * 0.30103 * 2^-52 ~=~ 7.2e-14,
1556: * adding 1e-13 to the constant term more than suffices.
1557: * Hence we adjust the constant term to 0.1760912590558.
1558: * (We could get a more accurate k by invoking log10,
1559: * but this is probably not worthwhile.)
1560: */
1561:
1562: i -= Bias;
1563: #ifdef IBM
1564: i <<= 2;
1565: i += j;
1566: #endif
1567: #ifndef Sudden_Underflow
1568: denorm = 0;
1569: }
1570: else {
1571: /* d is denormalized */
1572:
1573: i = bbits + be + (Bias + (P-1) - 1);
1574: x = i > 32 ? (word0(d) << (64 - i)) | (word1(d) >> (i - 32))
1575: : (word1(d) << (32 - i));
1576: value(d2) = x;
1577: word0(d2) -= 31*Exp_msk1; /* adjust exponent */
1578: i -= (Bias + (P-1) - 1) + 1;
1579: denorm = 1;
1580: }
1581: #endif
1582: ds = (value(d2)-1.5)*0.289529654602168 + 0.1760912590558 + i*0.301029995663981;
1583: k = (int)ds;
1584: if (ds < 0. && ds != k)
1585: k--; /* want k = floor(ds) */
1586: k_check = 1;
1587: if (k >= 0 && k <= Ten_pmax) {
1588: if (value(d) < tens[k])
1589: k--;
1590: k_check = 0;
1591: }
1592: j = bbits - i - 1;
1593: if (j >= 0) {
1594: b2 = 0;
1595: s2 = j;
1596: }
1597: else {
1598: b2 = -j;
1599: s2 = 0;
1600: }
1601: if (k >= 0) {
1602: b5 = 0;
1603: s5 = k;
1604: s2 += k;
1605: }
1606: else {
1607: b2 -= k;
1608: b5 = -k;
1609: s5 = 0;
1610: }
1611: if (mode < 0 || mode > 9)
1612: mode = 0;
1613: try_quick = 1;
1614: if (mode > 5) {
1615: mode -= 4;
1616: try_quick = 0;
1617: }
1618: leftright = 1;
1619: switch(mode) {
1620: case 0:
1621: case 1:
1622: ilim = ilim1 = -1;
1623: i = 18;
1624: ndigits = 0;
1625: break;
1626: case 2:
1627: leftright = 0;
1628: /* no break */
1629: case 4:
1630: if (ndigits <= 0)
1631: ndigits = 1;
1632: ilim = ilim1 = i = ndigits;
1633: break;
1634: case 3:
1635: leftright = 0;
1636: /* no break */
1637: case 5:
1638: i = ndigits + k + 1;
1639: ilim = i;
1640: ilim1 = i - 1;
1641: if (i <= 0)
1642: i = 1;
1643: }
1644: s = s0 = rv_alloc(i);
1645:
1646: if (ilim >= 0 && ilim <= Quick_max && try_quick) {
1647:
1648: /* Try to get by with floating-point arithmetic. */
1649:
1650: i = 0;
1651: value(d2) = value(d);
1652: k0 = k;
1653: ilim0 = ilim;
1654: ieps = 2; /* conservative */
1655: if (k > 0) {
1656: ds = tens[k&0xf];
1657: j = k >> 4;
1658: if (j & Bletch) {
1659: /* prevent overflows */
1660: j &= Bletch - 1;
1661: value(d) /= bigtens[n_bigtens-1];
1662: ieps++;
1663: }
1664: for(; j; j >>= 1, i++)
1665: if (j & 1) {
1666: ieps++;
1667: ds *= bigtens[i];
1668: }
1669: value(d) /= ds;
1670: }
1671: else if ((j1 = -k)) {
1672: value(d) *= tens[j1 & 0xf];
1673: for(j = j1 >> 4; j; j >>= 1, i++)
1674: if (j & 1) {
1675: ieps++;
1676: value(d) *= bigtens[i];
1677: }
1678: }
1679: if (k_check && value(d) < 1. && ilim > 0) {
1680: if (ilim1 <= 0)
1681: goto fast_failed;
1682: ilim = ilim1;
1683: k--;
1684: value(d) *= 10.;
1685: ieps++;
1686: }
1687: value(eps) = ieps*value(d) + 7.;
1688: word0(eps) -= (P-1)*Exp_msk1;
1689: if (ilim == 0) {
1690: S = mhi = 0;
1691: value(d) -= 5.;
1692: if (value(d) > value(eps))
1693: goto one_digit;
1694: if (value(d) < -value(eps))
1695: goto no_digits;
1696: goto fast_failed;
1697: }
1698: #ifndef No_leftright
1699: if (leftright) {
1700: /* Use Steele & White method of only
1701: * generating digits needed.
1702: */
1703: value(eps) = 0.5/tens[ilim-1] - value(eps);
1704: for(i = 0;;) {
1705: L = value(d);
1706: value(d) -= L;
1707: *s++ = '0' + (int)L;
1708: if (value(d) < value(eps))
1709: goto ret1;
1710: if (1. - value(d) < value(eps))
1711: goto bump_up;
1712: if (++i >= ilim)
1713: break;
1714: value(eps) *= 10.;
1715: value(d) *= 10.;
1716: }
1717: }
1718: else {
1719: #endif
1720: /* Generate ilim digits, then fix them up. */
1721: value(eps) *= tens[ilim-1];
1722: for(i = 1;; i++, value(d) *= 10.) {
1723: L = value(d);
1724: value(d) -= L;
1725: *s++ = '0' + (int)L;
1726: if (i == ilim) {
1727: if (value(d) > 0.5 + value(eps))
1728: goto bump_up;
1729: else if (value(d) < 0.5 - value(eps)) {
1730: while(*--s == '0');
1731: s++;
1732: goto ret1;
1733: }
1734: break;
1735: }
1736: }
1737: #ifndef No_leftright
1738: }
1739: #endif
1740: fast_failed:
1741: s = s0;
1742: value(d) = value(d2);
1743: k = k0;
1744: ilim = ilim0;
1745: }
1746:
1747: /* Do we have a "small" integer? */
1748:
1749: if (be >= 0 && k <= Int_max) {
1750: /* Yes. */
1751: ds = tens[k];
1752: if (ndigits < 0 && ilim <= 0) {
1753: S = mhi = 0;
1754: if (ilim < 0 || value(d) <= 5*ds)
1755: goto no_digits;
1756: goto one_digit;
1757: }
1758: for(i = 1;; i++) {
1759: L = value(d) / ds;
1760: value(d) -= L*ds;
1761: #ifdef Check_FLT_ROUNDS
1762: /* If FLT_ROUNDS == 2, L will usually be high by 1 */
1763: if (value(d) < 0) {
1764: L--;
1765: value(d) += ds;
1766: }
1767: #endif
1768: *s++ = '0' + (int)L;
1769: if (i == ilim) {
1770: value(d) += value(d);
1771: if (value(d) > ds || (value(d) == ds && (L & 1))) {
1772: bump_up:
1773: while(*--s == '9')
1774: if (s == s0) {
1775: k++;
1776: *s = '0';
1777: break;
1778: }
1779: ++*s++;
1780: }
1781: break;
1782: }
1783: if (!(value(d) *= 10.))
1784: break;
1785: }
1786: goto ret1;
1787: }
1788:
1789: m2 = b2;
1790: m5 = b5;
1791: mhi = mlo = 0;
1792: if (leftright) {
1793: if (mode < 2) {
1794: i =
1795: #ifndef Sudden_Underflow
1796: denorm ? be + (Bias + (P-1) - 1 + 1) :
1797: #endif
1798: #ifdef IBM
1799: 1 + 4*P - 3 - bbits + ((bbits + be - 1) & 3);
1800: #else
1801: 1 + P - bbits;
1802: #endif
1803: }
1804: else {
1805: j = ilim - 1;
1806: if (m5 >= j)
1807: m5 -= j;
1808: else {
1809: s5 += j -= m5;
1810: b5 += j;
1811: m5 = 0;
1812: }
1813: if ((i = ilim) < 0) {
1814: m2 -= i;
1815: i = 0;
1816: }
1817: }
1818: b2 += i;
1819: s2 += i;
1820: mhi = i2b(1);
1821: }
1822: if (m2 > 0 && s2 > 0) {
1823: i = m2 < s2 ? m2 : s2;
1824: b2 -= i;
1825: m2 -= i;
1826: s2 -= i;
1827: }
1828: if (b5 > 0) {
1829: if (leftright) {
1830: if (m5 > 0) {
1831: mhi = pow5mult(mhi, m5);
1832: b1 = mult(mhi, b);
1833: Bfree(b);
1834: b = b1;
1835: }
1836: if ((j = b5 - m5)) {
1837: b = pow5mult(b, j);
1838: }
1839: } else {
1840: b = pow5mult(b, b5);
1841: }
1842: }
1843: S = i2b(1);
1844: if (s5 > 0)
1845: S = pow5mult(S, s5);
1846: /* Check for special case that d is a normalized power of 2. */
1847:
1848: if (mode < 2) {
1849: if (!word1(d) && !(word0(d) & Bndry_mask)
1850: #ifndef Sudden_Underflow
1851: && word0(d) & Exp_mask
1852: #endif
1853: ) {
1854: /* The special case */
1855: b2 += Log2P;
1856: s2 += Log2P;
1857: spec_case = 1;
1858: } else {
1859: spec_case = 0;
1860: }
1861: }
1862:
1863: /* Arrange for convenient computation of quotients:
1864: * shift left if necessary so divisor has 4 leading 0 bits.
1865: *
1866: * Perhaps we should just compute leading 28 bits of S once
1867: * and for all and pass them and a shift to quorem, so it
1868: * can do shifts and ors to compute the numerator for q.
1869: */
1870: #ifdef Pack_32
1871: if ((i = ((s5 ? 32 - hi0bits(S->x[S->wds-1]) : 1) + s2) & 0x1f))
1872: i = 32 - i;
1873: #else
1874: if ((i = ((s5 ? 32 - hi0bits(S->x[S->wds-1]) : 1) + s2) & 0xf))
1875: i = 16 - i;
1876: #endif
1877: if (i > 4) {
1878: i -= 4;
1879: b2 += i;
1880: m2 += i;
1881: s2 += i;
1882: }
1883: else if (i < 4) {
1884: i += 28;
1885: b2 += i;
1886: m2 += i;
1887: s2 += i;
1888: }
1889: if (b2 > 0)
1890: b = lshift(b, b2);
1891: if (s2 > 0)
1892: S = lshift(S, s2);
1893: if (k_check) {
1894: if (cmp(b,S) < 0) {
1895: k--;
1896: b = multadd(b, 10, 0); /* we botched the k estimate */
1897: if (leftright)
1898: mhi = multadd(mhi, 10, 0);
1899: ilim = ilim1;
1900: }
1901: }
1902: if (ilim <= 0 && mode > 2) {
1903: if (ilim < 0 || cmp(b,S = multadd(S,5,0)) <= 0) {
1904: /* no digits, fcvt style */
1905: no_digits:
1906: k = -1 - ndigits;
1907: goto ret;
1908: }
1909: one_digit:
1910: *s++ = '1';
1911: k++;
1912: goto ret;
1913: }
1914: if (leftright) {
1915: if (m2 > 0)
1916: mhi = lshift(mhi, m2);
1917:
1918: /* Compute mlo -- check for special case
1919: * that d is a normalized power of 2.
1920: */
1921:
1922: mlo = mhi;
1923: if (spec_case) {
1924: mhi = Balloc(mhi->k);
1925: Bcopy(mhi, mlo);
1926: mhi = lshift(mhi, Log2P);
1927: }
1928:
1929: for(i = 1;;i++) {
1930: dig = quorem(b,S) + '0';
1931: /* Do we yet have the shortest decimal string
1932: * that will round to d?
1933: */
1934: j = cmp(b, mlo);
1935: delta = diff(S, mhi);
1936: j1 = delta->sign ? 1 : cmp(b, delta);
1937: Bfree(delta);
1938: #ifndef ROUND_BIASED
1939: if (j1 == 0 && !mode && !(word1(d) & 1)) {
1940: if (dig == '9')
1941: goto round_9_up;
1942: if (j > 0)
1943: dig++;
1944: *s++ = dig;
1945: goto ret;
1946: }
1947: #endif
1948: if (j < 0 || (j == 0 && !mode
1949: #ifndef ROUND_BIASED
1950: && !(word1(d) & 1)
1951: #endif
1952: )) {
1953: if (j1 > 0) {
1954: b = lshift(b, 1);
1955: j1 = cmp(b, S);
1956: if ((j1 > 0 || (j1 == 0 && (dig & 1)))
1957: && dig++ == '9')
1958: goto round_9_up;
1959: }
1960: *s++ = dig;
1961: goto ret;
1962: }
1963: if (j1 > 0) {
1964: if (dig == '9') { /* possible if i == 1 */
1965: round_9_up:
1966: *s++ = '9';
1967: goto roundoff;
1968: }
1969: *s++ = dig + 1;
1970: goto ret;
1971: }
1972: *s++ = dig;
1973: if (i == ilim)
1974: break;
1975: b = multadd(b, 10, 0);
1976: if (mlo == mhi)
1977: mlo = mhi = multadd(mhi, 10, 0);
1978: else {
1979: mlo = multadd(mlo, 10, 0);
1980: mhi = multadd(mhi, 10, 0);
1981: }
1982: }
1983: }
1984: else
1985: for(i = 1;; i++) {
1986: *s++ = dig = quorem(b,S) + '0';
1987: if (i >= ilim)
1988: break;
1989: b = multadd(b, 10, 0);
1990: }
1991:
1992: /* Round off last digit */
1993:
1994: b = lshift(b, 1);
1995: j = cmp(b, S);
1996: if (j > 0 || (j == 0 && (dig & 1))) {
1997: roundoff:
1998: while(*--s == '9')
1999: if (s == s0) {
2000: k++;
2001: *s++ = '1';
2002: goto ret;
2003: }
2004: ++*s++;
2005: }
2006: else {
2007: while(*--s == '0');
2008: s++;
2009: }
2010: ret:
2011: Bfree(S);
2012: if (mhi) {
2013: if (mlo && mlo != mhi)
2014: Bfree(mlo);
2015: Bfree(mhi);
2016: }
2017: ret1:
2018:
2019: _THREAD_PRIVATE_MUTEX_LOCK(pow5mult_mutex);
2020: while (p5s) {
2021: tmp = p5s;
2022: p5s = p5s->next;
2023: free(tmp);
2024: }
2025: _THREAD_PRIVATE_MUTEX_UNLOCK(pow5mult_mutex);
2026:
2027: Bfree(b);
2028:
2029: if (s == s0) { /* don't return empty string */
2030: *s++ = '0';
2031: k = 0;
2032: }
2033: *s = 0;
2034: *decpt = k + 1;
2035: if (rve)
2036: *rve = s;
2037: return s0;
2038: }
2039:
2040: /* F* VC6 */
2041: #if _MSC_VER <= 1300
2042: # pragma optimize( "", off )
2043: #endif
2044: ZEND_API double zend_strtod (CONST char *s00, char **se)
2045: {
2046: int bb2, bb5, bbe, bd2, bd5, bbbits, bs2, c, dsign,
2047: e, e1, esign, i, j, k, nd, nd0, nf, nz, nz0, sign;
2048: CONST char *s, *s0, *s1;
2049: volatile double aadj, aadj1, adj;
2050: volatile _double rv, rv0;
2051: Long L;
2052: ULong y, z;
2053: Bigint *bb, *bb1, *bd, *bd0, *bs, *delta, *tmp;
2054: double result;
2055:
2056: CONST char decimal_point = '.';
2057:
2058: sign = nz0 = nz = 0;
2059: value(rv) = 0.;
2060:
2061:
2062: for(s = s00; isspace((unsigned char) *s); s++)
2063: ;
2064:
2065: if (*s == '-') {
2066: sign = 1;
2067: s++;
2068: } else if (*s == '+') {
2069: s++;
2070: }
2071:
2072: if (*s == '\0') {
2073: s = s00;
2074: goto ret;
2075: }
2076:
2077: if (*s == '0') {
2078: nz0 = 1;
2079: while(*++s == '0') ;
2080: if (!*s)
2081: goto ret;
2082: }
2083: s0 = s;
2084: y = z = 0;
2085: for(nd = nf = 0; (c = *s) >= '0' && c <= '9'; nd++, s++)
2086: if (nd < 9)
2087: y = 10*y + c - '0';
2088: else if (nd < 16)
2089: z = 10*z + c - '0';
2090: nd0 = nd;
2091: if (c == decimal_point) {
2092: c = *++s;
2093: if (!nd) {
2094: for(; c == '0'; c = *++s)
2095: nz++;
2096: if (c > '0' && c <= '9') {
2097: s0 = s;
2098: nf += nz;
2099: nz = 0;
2100: goto have_dig;
2101: }
2102: goto dig_done;
2103: }
2104: for(; c >= '0' && c <= '9'; c = *++s) {
2105: have_dig:
2106: nz++;
2107: if (c -= '0') {
2108: nf += nz;
2109: for(i = 1; i < nz; i++)
2110: if (nd++ < 9)
2111: y *= 10;
2112: else if (nd <= DBL_DIG + 1)
2113: z *= 10;
2114: if (nd++ < 9)
2115: y = 10*y + c;
2116: else if (nd <= DBL_DIG + 1)
2117: z = 10*z + c;
2118: nz = 0;
2119: }
2120: }
2121: }
2122: dig_done:
2123: e = 0;
2124: if (c == 'e' || c == 'E') {
2125: if (!nd && !nz && !nz0) {
2126: s = s00;
2127: goto ret;
2128: }
2129: s00 = s;
2130: esign = 0;
2131: switch(c = *++s) {
2132: case '-':
2133: esign = 1;
2134: case '+':
2135: c = *++s;
2136: }
2137: if (c >= '0' && c <= '9') {
2138: while(c == '0')
2139: c = *++s;
2140: if (c > '0' && c <= '9') {
2141: L = c - '0';
2142: s1 = s;
2143: while((c = *++s) >= '0' && c <= '9')
2144: L = 10*L + c - '0';
2145: if (s - s1 > 8 || L > 19999)
2146: /* Avoid confusion from exponents
2147: * so large that e might overflow.
2148: */
2149: e = 19999; /* safe for 16 bit ints */
2150: else
2151: e = (int)L;
2152: if (esign)
2153: e = -e;
2154: }
2155: else
2156: e = 0;
2157: }
2158: else
2159: s = s00;
2160: }
2161: if (!nd) {
2162: if (!nz && !nz0)
2163: s = s00;
2164: goto ret;
2165: }
2166: e1 = e -= nf;
2167:
2168: /* Now we have nd0 digits, starting at s0, followed by a
2169: * decimal point, followed by nd-nd0 digits. The number we're
2170: * after is the integer represented by those digits times
2171: * 10**e */
2172:
2173: if (!nd0)
2174: nd0 = nd;
2175: k = nd < DBL_DIG + 1 ? nd : DBL_DIG + 1;
2176: value(rv) = y;
2177: if (k > 9)
2178: value(rv) = tens[k - 9] * value(rv) + z;
2179: bd0 = 0;
2180: if (nd <= DBL_DIG
2181: #ifndef RND_PRODQUOT
2182: && FLT_ROUNDS == 1
2183: #endif
2184: ) {
2185: if (!e)
2186: goto ret;
2187: if (e > 0) {
2188: if (e <= Ten_pmax) {
2189: #ifdef VAX
2190: goto vax_ovfl_check;
2191: #else
2192: /* value(rv) = */ rounded_product(value(rv),
2193: tens[e]);
2194: goto ret;
2195: #endif
2196: }
2197: i = DBL_DIG - nd;
2198: if (e <= Ten_pmax + i) {
2199: /* A fancier test would sometimes let us do
2200: * this for larger i values.
2201: */
2202: e -= i;
2203: value(rv) *= tens[i];
2204: #ifdef VAX
2205: /* VAX exponent range is so narrow we must
2206: * worry about overflow here...
2207: */
2208: vax_ovfl_check:
2209: word0(rv) -= P*Exp_msk1;
2210: /* value(rv) = */ rounded_product(value(rv),
2211: tens[e]);
2212: if ((word0(rv) & Exp_mask)
2213: > Exp_msk1*(DBL_MAX_EXP+Bias-1-P))
2214: goto ovfl;
2215: word0(rv) += P*Exp_msk1;
2216: #else
2217: /* value(rv) = */ rounded_product(value(rv),
2218: tens[e]);
2219: #endif
2220: goto ret;
2221: }
2222: }
2223: #ifndef Inaccurate_Divide
2224: else if (e >= -Ten_pmax) {
2225: /* value(rv) = */ rounded_quotient(value(rv),
2226: tens[-e]);
2227: goto ret;
2228: }
2229: #endif
2230: }
2231: e1 += nd - k;
2232:
2233: /* Get starting approximation = rv * 10**e1 */
2234:
2235: if (e1 > 0) {
2236: if ((i = e1 & 15))
2237: value(rv) *= tens[i];
2238: if (e1 &= ~15) {
2239: if (e1 > DBL_MAX_10_EXP) {
2240: ovfl:
2241: errno = ERANGE;
2242: #ifndef Bad_float_h
2243: value(rv) = HUGE_VAL;
2244: #else
2245: /* Can't trust HUGE_VAL */
2246: #ifdef IEEE_Arith
2247: word0(rv) = Exp_mask;
2248: word1(rv) = 0;
2249: #else
2250: word0(rv) = Big0;
2251: word1(rv) = Big1;
2252: #endif
2253: #endif
2254: if (bd0)
2255: goto retfree;
2256: goto ret;
2257: }
2258: if (e1 >>= 4) {
2259: for(j = 0; e1 > 1; j++, e1 >>= 1)
2260: if (e1 & 1)
2261: value(rv) *= bigtens[j];
2262: /* The last multiplication could overflow. */
2263: word0(rv) -= P*Exp_msk1;
2264: value(rv) *= bigtens[j];
2265: if ((z = word0(rv) & Exp_mask)
2266: > Exp_msk1*(DBL_MAX_EXP+Bias-P))
2267: goto ovfl;
2268: if (z > Exp_msk1*(DBL_MAX_EXP+Bias-1-P)) {
2269: /* set to largest number */
2270: /* (Can't trust DBL_MAX) */
2271: word0(rv) = Big0;
2272: word1(rv) = Big1;
2273: }
2274: else
2275: word0(rv) += P*Exp_msk1;
2276: }
2277:
2278: }
2279: }
2280: else if (e1 < 0) {
2281: e1 = -e1;
2282: if ((i = e1 & 15))
2283: value(rv) /= tens[i];
2284: if (e1 &= ~15) {
2285: e1 >>= 4;
2286: if (e1 >= 1 << n_bigtens)
2287: goto undfl;
2288: for(j = 0; e1 > 1; j++, e1 >>= 1)
2289: if (e1 & 1)
2290: value(rv) *= tinytens[j];
2291: /* The last multiplication could underflow. */
2292: value(rv0) = value(rv);
2293: value(rv) *= tinytens[j];
2294: if (!value(rv)) {
2295: value(rv) = 2.*value(rv0);
2296: value(rv) *= tinytens[j];
2297: if (!value(rv)) {
2298: undfl:
2299: value(rv) = 0.;
2300: errno = ERANGE;
2301: if (bd0)
2302: goto retfree;
2303: goto ret;
2304: }
2305: word0(rv) = Tiny0;
2306: word1(rv) = Tiny1;
2307: /* The refinement below will clean
2308: * this approximation up.
2309: */
2310: }
2311: }
2312: }
2313:
2314: /* Now the hard part -- adjusting rv to the correct value.*/
2315:
2316: /* Put digits into bd: true value = bd * 10^e */
2317:
2318: bd0 = s2b(s0, nd0, nd, y);
2319:
2320: for(;;) {
2321: bd = Balloc(bd0->k);
2322: Bcopy(bd, bd0);
2323: bb = d2b(value(rv), &bbe, &bbbits); /* rv = bb * 2^bbe */
2324: bs = i2b(1);
2325:
2326: if (e >= 0) {
2327: bb2 = bb5 = 0;
2328: bd2 = bd5 = e;
2329: }
2330: else {
2331: bb2 = bb5 = -e;
2332: bd2 = bd5 = 0;
2333: }
2334: if (bbe >= 0)
2335: bb2 += bbe;
2336: else
2337: bd2 -= bbe;
2338: bs2 = bb2;
2339: #ifdef Sudden_Underflow
2340: #ifdef IBM
2341: j = 1 + 4*P - 3 - bbbits + ((bbe + bbbits - 1) & 3);
2342: #else
2343: j = P + 1 - bbbits;
2344: #endif
2345: #else
2346: i = bbe + bbbits - 1; /* logb(rv) */
2347: if (i < Emin) /* denormal */
2348: j = bbe + (P-Emin);
2349: else
2350: j = P + 1 - bbbits;
2351: #endif
2352: bb2 += j;
2353: bd2 += j;
2354: i = bb2 < bd2 ? bb2 : bd2;
2355: if (i > bs2)
2356: i = bs2;
2357: if (i > 0) {
2358: bb2 -= i;
2359: bd2 -= i;
2360: bs2 -= i;
2361: }
2362: if (bb5 > 0) {
2363: bs = pow5mult(bs, bb5);
2364: bb1 = mult(bs, bb);
2365: Bfree(bb);
2366: bb = bb1;
2367: }
2368: if (bb2 > 0)
2369: bb = lshift(bb, bb2);
2370: if (bd5 > 0)
2371: bd = pow5mult(bd, bd5);
2372: if (bd2 > 0)
2373: bd = lshift(bd, bd2);
2374: if (bs2 > 0)
2375: bs = lshift(bs, bs2);
2376: delta = diff(bb, bd);
2377: dsign = delta->sign;
2378: delta->sign = 0;
2379: i = cmp(delta, bs);
2380: if (i < 0) {
2381: /* Error is less than half an ulp -- check for
2382: * special case of mantissa a power of two.
2383: */
2384: if (dsign || word1(rv) || word0(rv) & Bndry_mask)
2385: break;
2386: delta = lshift(delta,Log2P);
2387: if (cmp(delta, bs) > 0)
2388: goto drop_down;
2389: break;
2390: }
2391: if (i == 0) {
2392: /* exactly half-way between */
2393: if (dsign) {
2394: if ((word0(rv) & Bndry_mask1) == Bndry_mask1
2395: && word1(rv) == 0xffffffff) {
2396: /*boundary case -- increment exponent*/
2397: word0(rv) = (word0(rv) & Exp_mask)
2398: + Exp_msk1
2399: #ifdef IBM
2400: | Exp_msk1 >> 4
2401: #endif
2402: ;
2403: word1(rv) = 0;
2404: break;
2405: }
2406: }
2407: else if (!(word0(rv) & Bndry_mask) && !word1(rv)) {
2408: drop_down:
2409: /* boundary case -- decrement exponent */
2410: #ifdef Sudden_Underflow
2411: L = word0(rv) & Exp_mask;
2412: #ifdef IBM
2413: if (L < Exp_msk1)
2414: #else
2415: if (L <= Exp_msk1)
2416: #endif
2417: goto undfl;
2418: L -= Exp_msk1;
2419: #else
2420: L = (word0(rv) & Exp_mask) - Exp_msk1;
2421: #endif
2422: word0(rv) = L | Bndry_mask1;
2423: word1(rv) = 0xffffffff;
2424: #ifdef IBM
2425: goto cont;
2426: #else
2427: break;
2428: #endif
2429: }
2430: #ifndef ROUND_BIASED
2431: if (!(word1(rv) & LSB))
2432: break;
2433: #endif
2434: if (dsign)
2435: value(rv) += ulp(value(rv));
2436: #ifndef ROUND_BIASED
2437: else {
2438: value(rv) -= ulp(value(rv));
2439: #ifndef Sudden_Underflow
2440: if (!value(rv))
2441: goto undfl;
2442: #endif
2443: }
2444: #endif
2445: break;
2446: }
2447: if ((aadj = ratio(delta, bs)) <= 2.) {
2448: if (dsign)
2449: aadj = aadj1 = 1.;
2450: else if (word1(rv) || word0(rv) & Bndry_mask) {
2451: #ifndef Sudden_Underflow
2452: if (word1(rv) == Tiny1 && !word0(rv))
2453: goto undfl;
2454: #endif
2455: aadj = 1.;
2456: aadj1 = -1.;
2457: }
2458: else {
2459: /* special case -- power of FLT_RADIX to be */
2460: /* rounded down... */
2461:
2462: if (aadj < 2./FLT_RADIX)
2463: aadj = 1./FLT_RADIX;
2464: else
2465: aadj *= 0.5;
2466: aadj1 = -aadj;
2467: }
2468: }
2469: else {
2470: aadj *= 0.5;
2471: aadj1 = dsign ? aadj : -aadj;
2472: #ifdef Check_FLT_ROUNDS
2473: switch(FLT_ROUNDS) {
2474: case 2: /* towards +infinity */
2475: aadj1 -= 0.5;
2476: break;
2477: case 0: /* towards 0 */
2478: case 3: /* towards -infinity */
2479: aadj1 += 0.5;
2480: }
2481: #else
2482: if (FLT_ROUNDS == 0)
2483: aadj1 += 0.5;
2484: #endif
2485: }
2486: y = word0(rv) & Exp_mask;
2487:
2488: /* Check for overflow */
2489:
2490: if (y == Exp_msk1*(DBL_MAX_EXP+Bias-1)) {
2491: value(rv0) = value(rv);
2492: word0(rv) -= P*Exp_msk1;
2493: adj = aadj1 * ulp(value(rv));
2494: value(rv) += adj;
2495: if ((word0(rv) & Exp_mask) >=
2496: Exp_msk1*(DBL_MAX_EXP+Bias-P)) {
2497: if (word0(rv0) == Big0 && word1(rv0) == Big1)
2498: goto ovfl;
2499: word0(rv) = Big0;
2500: word1(rv) = Big1;
2501: goto cont;
2502: }
2503: else
2504: word0(rv) += P*Exp_msk1;
2505: }
2506: else {
2507: #ifdef Sudden_Underflow
2508: if ((word0(rv) & Exp_mask) <= P*Exp_msk1) {
2509: value(rv0) = value(rv);
2510: word0(rv) += P*Exp_msk1;
2511: adj = aadj1 * ulp(value(rv));
2512: value(rv) += adj;
2513: #ifdef IBM
2514: if ((word0(rv) & Exp_mask) < P*Exp_msk1)
2515: #else
2516: if ((word0(rv) & Exp_mask) <= P*Exp_msk1)
2517: #endif
2518: {
2519: if (word0(rv0) == Tiny0
2520: && word1(rv0) == Tiny1)
2521: goto undfl;
2522: word0(rv) = Tiny0;
2523: word1(rv) = Tiny1;
2524: goto cont;
2525: }
2526: else
2527: word0(rv) -= P*Exp_msk1;
2528: }
2529: else {
2530: adj = aadj1 * ulp(value(rv));
2531: value(rv) += adj;
2532: }
2533: #else
2534: /* Compute adj so that the IEEE rounding rules will
2535: * correctly round rv + adj in some half-way cases.
2536: * If rv * ulp(rv) is denormalized (i.e.,
2537: * y <= (P-1)*Exp_msk1), we must adjust aadj to avoid
2538: * trouble from bits lost to denormalization;
2539: * example: 1.2e-307 .
2540: */
2541: if (y <= (P-1)*Exp_msk1 && aadj >= 1.) {
2542: aadj1 = (double)(int)(aadj + 0.5);
2543: if (!dsign)
2544: aadj1 = -aadj1;
2545: }
2546: adj = aadj1 * ulp(value(rv));
2547: value(rv) += adj;
2548: #endif
2549: }
2550: z = word0(rv) & Exp_mask;
2551: if (y == z) {
2552: /* Can we stop now? */
2553: L = aadj;
2554: aadj -= L;
2555: /* The tolerances below are conservative. */
2556: if (dsign || word1(rv) || word0(rv) & Bndry_mask) {
2557: if (aadj < .4999999 || aadj > .5000001)
2558: break;
2559: }
2560: else if (aadj < .4999999/FLT_RADIX)
2561: break;
2562: }
2563: cont:
2564: Bfree(bb);
2565: Bfree(bd);
2566: Bfree(bs);
2567: Bfree(delta);
2568: }
2569: retfree:
2570: Bfree(bb);
2571: Bfree(bd);
2572: Bfree(bs);
2573: Bfree(bd0);
2574: Bfree(delta);
2575: ret:
2576: if (se)
2577: *se = (char *)s;
2578: result = sign ? -value(rv) : value(rv);
2579:
2580: _THREAD_PRIVATE_MUTEX_LOCK(pow5mult_mutex);
2581: while (p5s) {
2582: tmp = p5s;
2583: p5s = p5s->next;
2584: free(tmp);
2585: }
2586: _THREAD_PRIVATE_MUTEX_UNLOCK(pow5mult_mutex);
2587:
2588: return result;
2589: }
2590:
2591: ZEND_API double zend_hex_strtod(const char *str, char **endptr)
2592: {
2593: const char *s = str;
2594: char c;
2595: int any = 0;
2596: double value = 0;
2597:
2598: if (*s == '0' && (s[1] == 'x' || s[1] == 'X')) {
2599: s += 2;
2600: }
2601:
2602: while ((c = *s++)) {
2603: if (c >= '0' && c <= '9') {
2604: c -= '0';
2605: } else if (c >= 'A' && c <= 'F') {
2606: c -= 'A' - 10;
2607: } else if (c >= 'a' && c <= 'f') {
2608: c -= 'a' - 10;
2609: } else {
2610: break;
2611: }
2612:
2613: any = 1;
2614: value = value * 16 + c;
2615: }
2616:
2617: if (endptr != NULL) {
2618: *endptr = (char *)(any ? s - 1 : str);
2619: }
2620:
2621: return value;
2622: }
2623:
2624: ZEND_API double zend_oct_strtod(const char *str, char **endptr)
2625: {
2626: const char *s = str;
2627: char c;
2628: double value = 0;
2629: int any = 0;
2630:
2631: /* skip leading zero */
2632: s++;
2633:
2634: while ((c = *s++)) {
2635: if (c < '0' || c > '7') {
2636: /* break and return the current value if the number is not well-formed
2637: * that's what Linux strtol() does
2638: */
2639: break;
2640: }
2641: value = value * 8 + c - '0';
2642: any = 1;
2643: }
2644:
2645: if (endptr != NULL) {
2646: *endptr = (char *)(any ? s - 1 : str);
2647: }
2648:
2649: return value;
2650: }
2651:
2652: /*
2653: * Local variables:
2654: * tab-width: 4
2655: * c-basic-offset: 4
2656: * End:
2657: * vim600: sw=4 ts=4 fdm=marker
2658: * vim<600: sw=4 ts=4
2659: */