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1 /*
2 * The authors of this software are Rob Pike and Ken Thompson.
3 * Copyright (c) 2002 by Lucent Technologies.
4 * Permission to use, copy, modify, and distribute this software for any
5 * purpose without fee is hereby granted, provided that this entire notice
6 * is included in all copies of any software which is or includes a copy
7 * or modification of this software and in all copies of the supporting
8 * documentation for such software.
9 * THIS SOFTWARE IS BEING PROVIDED "AS IS", WITHOUT ANY EXPRESS OR IMPLIED
10 * WARRANTY. IN PARTICULAR, NEITHER THE AUTHORS NOR LUCENT TECHNOLOGIES MAKE ANY
11 * REPRESENTATION OR WARRANTY OF ANY KIND CONCERNING THE MERCHANTABILITY
12 * OF THIS SOFTWARE OR ITS FITNESS FOR ANY PARTICULAR PURPOSE.
13 */
14 #include <stdio.h>
15 #include <math.h>
16 #include <float.h>
17 #include <string.h>
18 #include <stdlib.h>
19 #include <errno.h>
20 #include <stdarg.h>
21 #include "fmt.h"
22 #include "fmtdef.h"
23 #include "nan.h"
25 enum
26 {
27 FDEFLT = 6,
28 NSIGNIF = 17
29 };
31 /*
32 * first few powers of 10, enough for about 1/2 of the
33 * total space for doubles.
34 */
35 static double pows10[] =
36 {
37 1e0, 1e1, 1e2, 1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9,
38 1e10, 1e11, 1e12, 1e13, 1e14, 1e15, 1e16, 1e17, 1e18, 1e19,
39 1e20, 1e21, 1e22, 1e23, 1e24, 1e25, 1e26, 1e27, 1e28, 1e29,
40 1e30, 1e31, 1e32, 1e33, 1e34, 1e35, 1e36, 1e37, 1e38, 1e39,
41 1e40, 1e41, 1e42, 1e43, 1e44, 1e45, 1e46, 1e47, 1e48, 1e49,
42 1e50, 1e51, 1e52, 1e53, 1e54, 1e55, 1e56, 1e57, 1e58, 1e59,
43 1e60, 1e61, 1e62, 1e63, 1e64, 1e65, 1e66, 1e67, 1e68, 1e69,
44 1e70, 1e71, 1e72, 1e73, 1e74, 1e75, 1e76, 1e77, 1e78, 1e79,
45 1e80, 1e81, 1e82, 1e83, 1e84, 1e85, 1e86, 1e87, 1e88, 1e89,
46 1e90, 1e91, 1e92, 1e93, 1e94, 1e95, 1e96, 1e97, 1e98, 1e99,
47 1e100, 1e101, 1e102, 1e103, 1e104, 1e105, 1e106, 1e107, 1e108, 1e109,
48 1e110, 1e111, 1e112, 1e113, 1e114, 1e115, 1e116, 1e117, 1e118, 1e119,
49 1e120, 1e121, 1e122, 1e123, 1e124, 1e125, 1e126, 1e127, 1e128, 1e129,
50 1e130, 1e131, 1e132, 1e133, 1e134, 1e135, 1e136, 1e137, 1e138, 1e139,
51 1e140, 1e141, 1e142, 1e143, 1e144, 1e145, 1e146, 1e147, 1e148, 1e149,
52 1e150, 1e151, 1e152, 1e153, 1e154, 1e155, 1e156, 1e157, 1e158, 1e159,
53 };
55 static double
56 pow10(int n)
57 {
58 double d;
59 int neg;
61 neg = 0;
62 if(n < 0){
63 if(n < DBL_MIN_10_EXP){
64 return 0.;
65 }
66 neg = 1;
67 n = -n;
68 }else if(n > DBL_MAX_10_EXP){
69 return HUGE_VAL;
70 }
71 if(n < (int)(sizeof(pows10)/sizeof(pows10[0])))
72 d = pows10[n];
73 else{
74 d = pows10[sizeof(pows10)/sizeof(pows10[0]) - 1];
75 for(;;){
76 n -= sizeof(pows10)/sizeof(pows10[0]) - 1;
77 if(n < (int)(sizeof(pows10)/sizeof(pows10[0]))){
78 d *= pows10[n];
79 break;
80 }
81 d *= pows10[sizeof(pows10)/sizeof(pows10[0]) - 1];
82 }
83 }
84 if(neg){
85 return 1./d;
86 }
87 return d;
88 }
90 static int
91 xadd(char *a, int n, int v)
92 {
93 char *b;
94 int c;
96 if(n < 0 || n >= NSIGNIF)
97 return 0;
98 for(b = a+n; b >= a; b--) {
99 c = *b + v;
100 if(c <= '9') {
101 *b = c;
102 return 0;
104 *b = '0';
105 v = 1;
107 *a = '1'; /* overflow adding */
108 return 1;
111 static int
112 xsub(char *a, int n, int v)
114 char *b;
115 int c;
117 for(b = a+n; b >= a; b--) {
118 c = *b - v;
119 if(c >= '0') {
120 *b = c;
121 return 0;
123 *b = '9';
124 v = 1;
126 *a = '9'; /* underflow subtracting */
127 return 1;
130 static void
131 xaddexp(char *p, int e)
133 char se[9];
134 int i;
136 *p++ = 'e';
137 if(e < 0) {
138 *p++ = '-';
139 e = -e;
141 i = 0;
142 while(e) {
143 se[i++] = e % 10 + '0';
144 e /= 10;
146 if(i == 0) {
147 *p++ = '0';
148 } else {
149 while(i > 0)
150 *p++ = se[--i];
152 *p++ = '\0';
155 static char*
156 xdodtoa(char *s1, double f, int chr, int prec, int *decpt, int *rsign)
158 char s2[NSIGNIF+10];
159 double g, h;
160 int e, d, i;
161 int c2, sign, oerr;
163 if(chr == 'F')
164 chr = 'f';
165 if(prec > NSIGNIF)
166 prec = NSIGNIF;
167 if(prec < 0)
168 prec = 0;
169 if(__isNaN(f)) {
170 *decpt = 9999;
171 *rsign = 0;
172 strcpy(s1, "nan");
173 return &s1[3];
175 sign = 0;
176 if(f < 0) {
177 f = -f;
178 sign++;
180 *rsign = sign;
181 if(__isInf(f, 1) || __isInf(f, -1)) {
182 *decpt = 9999;
183 strcpy(s1, "inf");
184 return &s1[3];
187 e = 0;
188 g = f;
189 if(g != 0) {
190 frexp(f, &e);
191 e = (int)(e * .301029995664);
192 if(e >= -150 && e <= +150) {
193 d = 0;
194 h = f;
195 } else {
196 d = e/2;
197 h = f * pow10(-d);
199 g = h * pow10(d-e);
200 while(g < 1) {
201 e--;
202 g = h * pow10(d-e);
204 while(g >= 10) {
205 e++;
206 g = h * pow10(d-e);
210 /*
211 * convert NSIGNIF digits and convert
212 * back to get accuracy.
213 */
214 for(i=0; i<NSIGNIF; i++) {
215 d = (int)g;
216 s1[i] = d + '0';
217 g = (g - d) * 10;
219 s1[i] = 0;
221 /*
222 * try decimal rounding to eliminate 9s
223 */
224 c2 = prec + 1;
225 if(chr == 'f')
226 c2 += e;
227 oerr = errno;
228 if(c2 >= NSIGNIF-2) {
229 strcpy(s2, s1);
230 d = e;
231 s1[NSIGNIF-2] = '0';
232 s1[NSIGNIF-1] = '0';
233 xaddexp(s1+NSIGNIF, e-NSIGNIF+1);
234 g = fmtstrtod(s1, nil);
235 if(g == f)
236 goto found;
237 if(xadd(s1, NSIGNIF-3, 1)) {
238 e++;
239 xaddexp(s1+NSIGNIF, e-NSIGNIF+1);
241 g = fmtstrtod(s1, nil);
242 if(g == f)
243 goto found;
244 strcpy(s1, s2);
245 e = d;
248 /*
249 * convert back so s1 gets exact answer
250 */
251 for(d = 0; d < 10; d++) {
252 xaddexp(s1+NSIGNIF, e-NSIGNIF+1);
253 g = fmtstrtod(s1, nil);
254 if(f > g) {
255 if(xadd(s1, NSIGNIF-1, 1))
256 e--;
257 continue;
259 if(f < g) {
260 if(xsub(s1, NSIGNIF-1, 1))
261 e++;
262 continue;
264 break;
267 found:
268 errno = oerr;
270 /*
271 * sign
272 */
273 d = 0;
274 i = 0;
276 /*
277 * round & adjust 'f' digits
278 */
279 c2 = prec + 1;
280 if(chr == 'f'){
281 if(xadd(s1, c2+e, 5))
282 e++;
283 c2 += e;
284 if(c2 < 0){
285 c2 = 0;
286 e = -prec - 1;
288 }else{
289 if(xadd(s1, c2, 5))
290 e++;
292 if(c2 > NSIGNIF){
293 c2 = NSIGNIF;
296 *decpt = e + 1;
298 /*
299 * terminate the converted digits
300 */
301 s1[c2] = '\0';
302 return &s1[c2];
305 /*
306 * this function works like the standard dtoa, if you want it.
307 */
308 #if 0
309 static char*
310 __dtoa(double f, int mode, int ndigits, int *decpt, int *rsign, char **rve)
312 static char s2[NSIGNIF + 10];
313 char *es;
314 int chr, prec;
316 switch(mode) {
317 /* like 'e' */
318 case 2:
319 case 4:
320 case 6:
321 case 8:
322 chr = 'e';
323 break;
324 /* like 'g' */
325 case 0:
326 case 1:
327 default:
328 chr = 'g';
329 break;
330 /* like 'f' */
331 case 3:
332 case 5:
333 case 7:
334 case 9:
335 chr = 'f';
336 break;
339 if(chr != 'f' && ndigits){
340 ndigits--;
342 prec = ndigits;
343 if(prec > NSIGNIF)
344 prec = NSIGNIF;
345 if(ndigits == 0)
346 prec = NSIGNIF;
347 es = xdodtoa(s2, f, chr, prec, decpt, rsign);
349 /*
350 * strip trailing 0
351 */
352 for(; es > s2 + 1; es--){
353 if(es[-1] != '0'){
354 break;
357 *es = '\0';
358 if(rve != NULL)
359 *rve = es;
360 return s2;
362 #endif
364 static int
365 fmtzdotpad(Fmt *f, int n, int pt)
367 char *t, *s;
368 int i;
369 Rune *rt, *rs;
371 if(f->runes){
372 rt = (Rune*)f->to;
373 rs = (Rune*)f->stop;
374 for(i = 0; i < n; i++){
375 if(i == pt){
376 FMTRCHAR(f, rt, rs, '.');
378 FMTRCHAR(f, rt, rs, '0');
380 f->nfmt += rt - (Rune*)f->to;
381 f->to = rt;
382 }else{
383 t = (char*)f->to;
384 s = (char*)f->stop;
385 for(i = 0; i < n; i++){
386 if(i == pt){
387 FMTCHAR(f, t, s, '.');
389 FMTCHAR(f, t, s, '0');
391 f->nfmt += t - (char *)f->to;
392 f->to = t;
394 return 0;
397 int
398 __efgfmt(Fmt *fmt)
400 double f;
401 char s1[NSIGNIF+10];
402 int e, d, n;
403 int c1, c2, c3, c4, ucase, sign, chr, prec, fl;
405 f = va_arg(fmt->args, double);
406 prec = FDEFLT;
407 fl = fmt->flags;
408 fmt->flags = 0;
409 if(fl & FmtPrec)
410 prec = fmt->prec;
411 chr = fmt->r;
412 ucase = 0;
413 if(chr == 'E'){
414 chr = 'e';
415 ucase = 1;
416 }else if(chr == 'F'){
417 chr = 'f';
418 ucase = 1;
419 }else if(chr == 'G'){
420 chr = 'g';
421 ucase = 1;
423 if(prec > 0 && chr == 'g')
424 prec--;
425 if(prec < 0)
426 prec = 0;
428 xdodtoa(s1, f, chr, prec, &e, &sign);
429 e--;
430 if(*s1 == 'i' || *s1 == 'n'){
431 if(ucase){
432 if(*s1 == 'i'){
433 strcpy(s1, "INF");
434 }else{
435 strcpy(s1, "NAN");
438 fmt->flags = fl & (FmtWidth|FmtLeft);
439 return __fmtcpy(fmt, (const void*)s1, 3, 3);
442 /*
443 * copy into final place
444 * c1 digits of leading '0'
445 * c2 digits from conversion
446 * c3 digits of trailing '0'
447 * c4 digits after '.'
448 */
449 c1 = 0;
450 c2 = prec + 1;
451 c3 = 0;
452 c4 = prec;
453 switch(chr) {
454 default:
455 chr = 'e';
456 break;
457 case 'g':
458 /*
459 * decide on 'e' of 'f' style convers
460 */
461 if(e >= -4 && e <= prec) {
462 c1 = -e;
463 c4 = prec - e;
464 chr = 'h'; /* flag for 'f' style */
466 break;
467 case 'f':
468 c1 = -e;
469 if(c1 > prec)
470 c1 = prec + 1;
471 c2 += e;
472 break;
475 /*
476 * clean up c1 c2 and c3
477 */
478 if(c1 < 0)
479 c1 = 0;
480 if(c2 < 0)
481 c2 = 0;
482 if(c2 > NSIGNIF) {
483 c3 = c2-NSIGNIF;
484 c2 = NSIGNIF;
487 /*
488 * trim trailing zeros for %g
489 */
490 if(!(fl & FmtSharp)
491 && (chr == 'g' || chr == 'h')){
492 if(c4 >= c3){
493 c4 -= c3;
494 c3 = 0;
495 }else{
496 c3 -= c4;
497 c4 = 0;
499 while(c4 && c2 > 1 && s1[c2 - 1] == '0'){
500 c4--;
501 c2--;
505 /*
506 * calculate the total length
507 */
508 n = c1 + c2 + c3;
509 if(sign || (fl & (FmtSign|FmtSpace)))
510 n++;
511 if(c4 || (fl & FmtSharp)){
512 n++;
514 if(chr == 'e' || chr == 'g'){
515 n += 4;
516 if(e >= 100)
517 n++;
520 /*
521 * pad to width if right justified
522 */
523 if((fl & (FmtWidth|FmtLeft)) == FmtWidth && n < fmt->width){
524 if(fl & FmtZero){
525 c1 += fmt->width - n;
526 }else{
527 if(__fmtpad(fmt, fmt->width - n) < 0){
528 return -1;
533 /*
534 * sign
535 */
536 d = 0;
537 if(sign)
538 d = '-';
539 else if(fl & FmtSign)
540 d = '+';
541 else if(fl & FmtSpace)
542 d = ' ';
543 if(d && fmtrune(fmt, d) < 0){
544 return -1;
547 /*
548 * copy digits
549 */
550 c4 = c1 + c2 + c3 - c4;
551 if(c1 > 0){
552 if(fmtzdotpad(fmt, c1, c4) < 0){
553 return -1;
555 c4 -= c1;
557 d = 0;
558 if(c4 >= 0 && c4 < c2){
559 if(__fmtcpy(fmt, s1, c4, c4) < 0 || fmtrune(fmt, '.') < 0)
560 return -1;
561 d = c4;
562 c2 -= c4;
563 c4 = -1;
565 if(__fmtcpy(fmt, (const void*)(s1 + d), c2, c2) < 0){
566 return -1;
568 c4 -= c2;
569 if(c3 > 0){
570 if(fmtzdotpad(fmt, c3, c4) < 0){
571 return -1;
573 c4 -= c3;
576 /*
577 * strip trailing '0' on g conv
578 */
579 if((fl & FmtSharp) && c4 == 0 && fmtrune(fmt, '.') < 0){
580 return -1;
582 if(chr == 'e' || chr == 'g') {
583 d = 0;
584 if(ucase)
585 s1[d++] = 'E';
586 else
587 s1[d++] = 'e';
588 c1 = e;
589 if(c1 < 0) {
590 s1[d++] = '-';
591 c1 = -c1;
592 } else
593 s1[d++] = '+';
594 if(c1 >= 100) {
595 s1[d++] = c1/100 + '0';
596 c1 = c1%100;
598 s1[d++] = c1/10 + '0';
599 s1[d++] = c1%10 + '0';
600 if(__fmtcpy(fmt, s1, d, d) < 0){
601 return -1;
604 if((fl & (FmtWidth|FmtLeft)) == (FmtWidth|FmtLeft) && n < fmt->width){
605 if(__fmtpad(fmt, fmt->width - n) < 0){
606 return -1;
609 return 0;