aboutsummaryrefslogtreecommitdiff
path: root/src/lib9/fmt/fltfmt.c
blob: 4045ffd83f63ab23c08933fc6a862518af700a76 (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
/* Copyright (c) 2002-2006 Lucent Technologies; see LICENSE */
#include <stdio.h>
#include <math.h>
#include <float.h>
#include <string.h>
#include <stdlib.h>
#include <errno.h>
#include <stdarg.h>
#include <fmt.h>
#include <assert.h>
#include "plan9.h"
#include "fmt.h"
#include "fmtdef.h"
#include "nan.h"

enum
{
	FDIGIT	= 30,
	FDEFLT	= 6,
	NSIGNIF	= 17
};

/*
 * first few powers of 10, enough for about 1/2 of the
 * total space for doubles.
 */
static double pows10[] =
{
	  1e0,   1e1,   1e2,   1e3,   1e4,   1e5,   1e6,   1e7,   1e8,   1e9,
	 1e10,  1e11,  1e12,  1e13,  1e14,  1e15,  1e16,  1e17,  1e18,  1e19,
	 1e20,  1e21,  1e22,  1e23,  1e24,  1e25,  1e26,  1e27,  1e28,  1e29,
	 1e30,  1e31,  1e32,  1e33,  1e34,  1e35,  1e36,  1e37,  1e38,  1e39,
	 1e40,  1e41,  1e42,  1e43,  1e44,  1e45,  1e46,  1e47,  1e48,  1e49,
	 1e50,  1e51,  1e52,  1e53,  1e54,  1e55,  1e56,  1e57,  1e58,  1e59,
	 1e60,  1e61,  1e62,  1e63,  1e64,  1e65,  1e66,  1e67,  1e68,  1e69,
	 1e70,  1e71,  1e72,  1e73,  1e74,  1e75,  1e76,  1e77,  1e78,  1e79,
	 1e80,  1e81,  1e82,  1e83,  1e84,  1e85,  1e86,  1e87,  1e88,  1e89,
	 1e90,  1e91,  1e92,  1e93,  1e94,  1e95,  1e96,  1e97,  1e98,  1e99,
	1e100, 1e101, 1e102, 1e103, 1e104, 1e105, 1e106, 1e107, 1e108, 1e109,
	1e110, 1e111, 1e112, 1e113, 1e114, 1e115, 1e116, 1e117, 1e118, 1e119,
	1e120, 1e121, 1e122, 1e123, 1e124, 1e125, 1e126, 1e127, 1e128, 1e129,
	1e130, 1e131, 1e132, 1e133, 1e134, 1e135, 1e136, 1e137, 1e138, 1e139,
	1e140, 1e141, 1e142, 1e143, 1e144, 1e145, 1e146, 1e147, 1e148, 1e149,
	1e150, 1e151, 1e152, 1e153, 1e154, 1e155, 1e156, 1e157, 1e158, 1e159,
};
#define	npows10 ((int)(sizeof(pows10)/sizeof(pows10[0])))
#define	pow10(x)  fmtpow10(x)

static double
pow10(int n)
{
	double d;
	int neg;

	neg = 0;
	if(n < 0){
		neg = 1;
		n = -n;
	}

	if(n < npows10)
		d = pows10[n];
	else{
		d = pows10[npows10-1];
		for(;;){
			n -= npows10 - 1;
			if(n < npows10){
				d *= pows10[n];
				break;
			}
			d *= pows10[npows10 - 1];
		}
	}
	if(neg)
		return 1./d;
	return d;
}

/*
 * add 1 to the decimal integer string a of length n.
 * if 99999 overflows into 10000, return 1 to tell caller
 * to move the virtual decimal point.
 */
static int
xadd1(char *a, int n)
{
	char *b;
	int c;

	if(n < 0 || n > NSIGNIF)
		return 0;
	for(b = a+n-1; b >= a; b--) {
		c = *b + 1;
		if(c <= '9') {
			*b = c;
			return 0;
		}
		*b = '0';
	}
	/*
	 * need to overflow adding digit.
	 * shift number down and insert 1 at beginning.
	 * decimal is known to be 0s or we wouldn't
	 * have gotten this far.  (e.g., 99999+1 => 00000)
	 */
	a[0] = '1';
	return 1;
}

/*
 * subtract 1 from the decimal integer string a.
 * if 10000 underflows into 09999, make it 99999
 * and return 1 to tell caller to move the virtual
 * decimal point.  this way, xsub1 is inverse of xadd1.
 */
static int
xsub1(char *a, int n)
{
	char *b;
	int c;

	if(n < 0 || n > NSIGNIF)
		return 0;
	for(b = a+n-1; b >= a; b--) {
		c = *b - 1;
		if(c >= '0') {
			if(c == '0' && b == a) {
				/*
				 * just zeroed the top digit; shift everyone up.
				 * decimal is known to be 9s or we wouldn't
				 * have gotten this far.  (e.g., 10000-1 => 09999)
				 */
				*b = '9';
				return 1;
			}
			*b = c;
			return 0;
		}
		*b = '9';
	}
	/*
	 * can't get here.  the number a is always normalized
	 * so that it has a nonzero first digit.
	 */
	abort();
}

/*
 * format exponent like sprintf(p, "e%+02d", e)
 */
static void
xfmtexp(char *p, int e, int ucase)
{
	char se[9];
	int i;

	*p++ = ucase ? 'E' : 'e';
	if(e < 0) {
		*p++ = '-';
		e = -e;
	} else
		*p++ = '+';
	i = 0;
	while(e) {
		se[i++] = e % 10 + '0';
		e /= 10;
	}
	while(i < 2)
		se[i++] = '0';
	while(i > 0)
		*p++ = se[--i];
	*p++ = '\0';
}

/*
 * compute decimal integer m, exp such that:
 *	f = m*10^exp
 *	m is as short as possible with losing exactness
 * assumes special cases (NaN, +Inf, -Inf) have been handled.
 */
static void
xdtoa(double f, char *s, int *exp, int *neg, int *ns)
{
	int c, d, e2, e, ee, i, ndigit, oerrno;
	char tmp[NSIGNIF+10];
	double g;

	oerrno = errno; /* in case strtod smashes errno */

	/*
	 * make f non-negative.
	 */
	*neg = 0;
	if(f < 0) {
		f = -f;
		*neg = 1;
	}

	/*
	 * must handle zero specially.
	 */
	if(f == 0){
		*exp = 0;
		s[0] = '0';
		s[1] = '\0';
		*ns = 1;
		return;
	}

	/*
	 * find g,e such that f = g*10^e.
	 * guess 10-exponent using 2-exponent, then fine tune.
	 */
	frexp(f, &e2);
	e = (int)(e2 * .301029995664);
	g = f * pow10(-e);
	while(g < 1) {
		e--;
		g = f * pow10(-e);
	}
	while(g >= 10) {
		e++;
		g = f * pow10(-e);
	}

	/*
	 * convert NSIGNIF digits as a first approximation.
	 */
	for(i=0; i<NSIGNIF; i++) {
		d = (int)g;
		s[i] = d+'0';
		g = (g-d) * 10;
	}
	s[i] = 0;

	/*
	 * adjust e because s is 314159... not 3.14159...
	 */
	e -= NSIGNIF-1;
	xfmtexp(s+NSIGNIF, e, 0);

	/*
	 * adjust conversion until strtod(s) == f exactly.
	 */
	for(i=0; i<10; i++) {
		g = fmtstrtod(s, nil);
		if(f > g) {
			if(xadd1(s, NSIGNIF)) {
				/* gained a digit */
				e--;
				xfmtexp(s+NSIGNIF, e, 0);
			}
			continue;
		}
		if(f < g) {
			if(xsub1(s, NSIGNIF)) {
				/* lost a digit */
				e++;
				xfmtexp(s+NSIGNIF, e, 0);
			}
			continue;
		}
		break;
	}

	/*
	 * play with the decimal to try to simplify.
	 */

	/*
	 * bump last few digits up to 9 if we can
	 */
	for(i=NSIGNIF-1; i>=NSIGNIF-3; i--) {
		c = s[i];
		if(c != '9') {
			s[i] = '9';
			g = fmtstrtod(s, nil);
			if(g != f) {
				s[i] = c;
				break;
			}
		}
	}

	/*
	 * add 1 in hopes of turning 9s to 0s
	 */
	if(s[NSIGNIF-1] == '9') {
		strcpy(tmp, s);
		ee = e;
		if(xadd1(tmp, NSIGNIF)) {
			ee--;
			xfmtexp(tmp+NSIGNIF, ee, 0);
		}
		g = fmtstrtod(tmp, nil);
		if(g == f) {
			strcpy(s, tmp);
			e = ee;
		}
	}

	/*
	 * bump last few digits down to 0 as we can.
	 */
	for(i=NSIGNIF-1; i>=NSIGNIF-3; i--) {
		c = s[i];
		if(c != '0') {
			s[i] = '0';
			g = fmtstrtod(s, nil);
			if(g != f) {
				s[i] = c;
				break;
			}
		}
	}

	/*
	 * remove trailing zeros.
	 */
	ndigit = NSIGNIF;
	while(ndigit > 1 && s[ndigit-1] == '0'){
		e++;
		--ndigit;
	}
	s[ndigit] = 0;
	*exp = e;
	*ns = ndigit;
	errno = oerrno;
}

#ifdef PLAN9PORT
static char *special[] = { "NaN", "NaN", "+Inf", "+Inf", "-Inf", "-Inf" };
#else
static char *special[] = { "nan", "NAN", "inf", "INF", "-inf", "-INF" };
#endif

int
__efgfmt(Fmt *fmt)
{
	char buf[NSIGNIF+10], *dot, *digits, *p, *s, suf[10], *t;
	double f;
	int c, chr, dotwid, e, exp, fl, ndigits, neg, newndigits;
	int pad, point, prec, realchr, sign, sufwid, ucase, wid, z1, z2;
	Rune r, *rs, *rt;

	if(fmt->flags&FmtLong)
		f = va_arg(fmt->args, long double);
	else
		f = va_arg(fmt->args, double);

	/*
	 * extract formatting flags
	 */
	fl = fmt->flags;
	fmt->flags = 0;
	prec = FDEFLT;
	if(fl & FmtPrec)
		prec = fmt->prec;
	chr = fmt->r;
	ucase = 0;
	switch(chr) {
	case 'A':
	case 'E':
	case 'F':
	case 'G':
		chr += 'a'-'A';
		ucase = 1;
		break;
	}

	/*
	 * pick off special numbers.
	 */
	if(__isNaN(f)) {
		s = special[0+ucase];
	special:
		fmt->flags = fl & (FmtWidth|FmtLeft);
		return __fmtcpy(fmt, s, strlen(s), strlen(s));
	}
	if(__isInf(f, 1)) {
		s = special[2+ucase];
		goto special;
	}
	if(__isInf(f, -1)) {
		s = special[4+ucase];
		goto special;
	}

	/*
	 * get exact representation.
	 */
	digits = buf;
	xdtoa(f, digits, &exp, &neg, &ndigits);

	/*
	 * get locale's decimal point.
	 */
	dot = fmt->decimal;
	if(dot == nil)
		dot = ".";
	dotwid = utflen(dot);

	/*
	 * now the formatting fun begins.
	 * compute parameters for actual fmt:
	 *
	 *	pad: number of spaces to insert before/after field.
	 *	z1: number of zeros to insert before digits
	 *	z2: number of zeros to insert after digits
	 *	point: number of digits to print before decimal point
	 *	ndigits: number of digits to use from digits[]
	 *	suf: trailing suffix, like "e-5"
	 */
	realchr = chr;
	switch(chr){
	case 'g':
		/*
		 * convert to at most prec significant digits. (prec=0 means 1)
		 */
		if(prec == 0)
			prec = 1;
		if(ndigits > prec) {
			if(digits[prec] >= '5' && xadd1(digits, prec))
				exp++;
			exp += ndigits-prec;
			ndigits = prec;
		}

		/*
		 * extra rules for %g (implemented below):
		 *	trailing zeros removed after decimal unless FmtSharp.
		 *	decimal point only if digit follows.
		 */

		/* fall through to %e */
	default:
	case 'e':
		/*
		 * one significant digit before decimal, no leading zeros.
		 */
		point = 1;
		z1 = 0;

		/*
		 * decimal point is after ndigits digits right now.
		 * slide to be after first.
		 */
		e  = exp + (ndigits-1);

		/*
		 * if this is %g, check exponent and convert prec
		 */
		if(realchr == 'g') {
			if(-4 <= e && e < prec)
				goto casef;
			prec--;	/* one digit before decimal; rest after */
		}

		/*
		 * compute trailing zero padding or truncate digits.
		 */
		if(1+prec >= ndigits)
			z2 = 1+prec - ndigits;
		else {
			/*
			 * truncate digits
			 */
			assert(realchr != 'g');
			newndigits = 1+prec;
			if(digits[newndigits] >= '5' && xadd1(digits, newndigits)) {
				/*
				 * had 999e4, now have 100e5
				 */
				e++;
			}
			ndigits = newndigits;
			z2 = 0;
		}
		xfmtexp(suf, e, ucase);
		sufwid = strlen(suf);
		break;

	casef:
	case 'f':
		/*
		 * determine where digits go with respect to decimal point
		 */
		if(ndigits+exp > 0) {
			point = ndigits+exp;
			z1 = 0;
		} else {
			point = 1;
			z1 = 1 + -(ndigits+exp);
		}

		/*
		 * %g specifies prec = number of significant digits
		 * convert to number of digits after decimal point
		 */
		if(realchr == 'g')
			prec += z1 - point;

		/*
		 * compute trailing zero padding or truncate digits.
		 */
		if(point+prec >= z1+ndigits)
			z2 = point+prec - (z1+ndigits);
		else {
			/*
			 * truncate digits
			 */
			assert(realchr != 'g');
			newndigits = point+prec - z1;
			if(newndigits < 0) {
				z1 += newndigits;
				newndigits = 0;
			} else if(newndigits == 0) {
				/* perhaps round up */
				if(digits[0] >= '5'){
					digits[0] = '1';
					newndigits = 1;
					goto newdigit;
				}
			} else if(digits[newndigits] >= '5' && xadd1(digits, newndigits)) {
				/*
				 * digits was 999, is now 100; make it 1000
				 */
				digits[newndigits++] = '0';
			newdigit:
				/*
				 * account for new digit
				 */
				if(z1)	/* 0.099 => 0.100 or 0.99 => 1.00*/
					z1--;
				else	/* 9.99 => 10.00 */
					point++;
			}
			z2 = 0;
			ndigits = newndigits;
		}
		sufwid = 0;
		break;
	}

	/*
	 * if %g is given without FmtSharp, remove trailing zeros.
	 * must do after truncation, so that e.g. print %.3g 1.001
	 * produces 1, not 1.00.  sorry, but them's the rules.
	 */
	if(realchr == 'g' && !(fl & FmtSharp)) {
		if(z1+ndigits+z2 >= point) {
			if(z1+ndigits < point)
				z2 = point - (z1+ndigits);
			else{
				z2 = 0;
				while(z1+ndigits > point && digits[ndigits-1] == '0')
					ndigits--;
			}
		}
	}

	/*
	 * compute width of all digits and decimal point and suffix if any
	 */
	wid = z1+ndigits+z2;
	if(wid > point)
		wid += dotwid;
	else if(wid == point){
		if(fl & FmtSharp)
			wid += dotwid;
		else
			point++;	/* do not print any decimal point */
	}
	wid += sufwid;

	/*
	 * determine sign
	 */
	sign = 0;
	if(neg)
		sign = '-';
	else if(fl & FmtSign)
		sign = '+';
	else if(fl & FmtSpace)
		sign = ' ';
	if(sign)
		wid++;

	/*
	 * compute padding
	 */
	pad = 0;
	if((fl & FmtWidth) && fmt->width > wid)
		pad = fmt->width - wid;
	if(pad && !(fl & FmtLeft) && (fl & FmtZero)){
		z1 += pad;
		point += pad;
		pad = 0;
	}

	/*
	 * format the actual field.  too bad about doing this twice.
	 */
	if(fmt->runes){
		if(pad && !(fl & FmtLeft) && __rfmtpad(fmt, pad) < 0)
			return -1;
		rt = (Rune*)fmt->to;
		rs = (Rune*)fmt->stop;
		if(sign)
			FMTRCHAR(fmt, rt, rs, sign);
		while(z1>0 || ndigits>0 || z2>0) {
			if(z1 > 0){
				z1--;
				c = '0';
			}else if(ndigits > 0){
				ndigits--;
				c = *digits++;
			}else{
				z2--;
				c = '0';
			}
			FMTRCHAR(fmt, rt, rs, c);
			if(--point == 0) {
				for(p = dot; *p; ){
					p += chartorune(&r, p);
					FMTRCHAR(fmt, rt, rs, r);
				}
			}
		}
		fmt->nfmt += rt - (Rune*)fmt->to;
		fmt->to = rt;
		if(sufwid && __fmtcpy(fmt, suf, sufwid, sufwid) < 0)
			return -1;
		if(pad && (fl & FmtLeft) && __rfmtpad(fmt, pad) < 0)
			return -1;
	}else{
		if(pad && !(fl & FmtLeft) && __fmtpad(fmt, pad) < 0)
			return -1;
		t = (char*)fmt->to;
		s = (char*)fmt->stop;
		if(sign)
			FMTCHAR(fmt, t, s, sign);
		while(z1>0 || ndigits>0 || z2>0) {
			if(z1 > 0){
				z1--;
				c = '0';
			}else if(ndigits > 0){
				ndigits--;
				c = *digits++;
			}else{
				z2--;
				c = '0';
			}
			FMTCHAR(fmt, t, s, c);
			if(--point == 0)
				for(p=dot; *p; p++)
					FMTCHAR(fmt, t, s, *p);
		}
		fmt->nfmt += t - (char*)fmt->to;
		fmt->to = t;
		if(sufwid && __fmtcpy(fmt, suf, sufwid, sufwid) < 0)
			return -1;
		if(pad && (fl & FmtLeft) && __fmtpad(fmt, pad) < 0)
			return -1;
	}
	return 0;
}