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1 /* Decimal floating point support.
2 Copyright (C) 2005, 2006, 2007 Free Software Foundation, Inc.
3
4 This file is part of GCC.
5
6 GCC is free software; you can redistribute it and/or modify it under
7 the terms of the GNU General Public License as published by the Free
8 Software Foundation; either version 2, or (at your option) any later
9 version.
10
11 GCC is distributed in the hope that it will be useful, but WITHOUT ANY
12 WARRANTY; without even the implied warranty of MERCHANTABILITY or
13 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
14 for more details.
15
16 You should have received a copy of the GNU General Public License
17 along with GCC; see the file COPYING. If not, write to the Free
18 Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA
19 02110-1301, USA. */
20
21 #include "config.h"
22 #include "system.h"
23 #include "coretypes.h"
24 #include "tm.h"
25 #include "tree.h"
26 #include "toplev.h"
27 #include "real.h"
28 #include "tm_p.h"
29 #include "dfp.h"
30
31 /* The order of the following headers is important for making sure
32 decNumber structure is large enough to hold decimal128 digits. */
33
34 #include "decimal128.h"
35 #include "decimal64.h"
36 #include "decimal32.h"
37 #include "decNumber.h"
38
39 static uint32_t
40 dfp_byte_swap (uint32_t in)
41 {
42 uint32_t out = 0;
43 unsigned char *p = (unsigned char *) &out;
44 union {
45 uint32_t i;
46 unsigned char b[4];
47 } u;
48
49 u.i = in;
50 p[0] = u.b[3];
51 p[1] = u.b[2];
52 p[2] = u.b[1];
53 p[3] = u.b[0];
54
55 return out;
56 }
57
58 /* Initialize R (a real with the decimal flag set) from DN. Can
59 utilize status passed in via CONTEXT, if a previous operation had
60 interesting status. */
61
62 static void
63 decimal_from_decnumber (REAL_VALUE_TYPE *r, decNumber *dn, decContext *context)
64 {
65 memset (r, 0, sizeof (REAL_VALUE_TYPE));
66
67 r->cl = rvc_normal;
68 if (decNumberIsZero (dn))
69 r->cl = rvc_zero;
70 if (decNumberIsNaN (dn))
71 r->cl = rvc_nan;
72 if (decNumberIsInfinite (dn))
73 r->cl = rvc_inf;
74 if (context->status & DEC_Overflow)
75 r->cl = rvc_inf;
76 if (decNumberIsNegative (dn))
77 r->sign = 1;
78 r->decimal = 1;
79
80 if (r->cl != rvc_normal)
81 return;
82
83 decContextDefault (context, DEC_INIT_DECIMAL128);
84 context->traps = 0;
85
86 decimal128FromNumber ((decimal128 *) r->sig, dn, context);
87 }
88
89 /* Create decimal encoded R from string S. */
90
91 void
92 decimal_real_from_string (REAL_VALUE_TYPE *r, const char *s)
93 {
94 decNumber dn;
95 decContext set;
96 decContextDefault (&set, DEC_INIT_DECIMAL128);
97 set.traps = 0;
98
99 decNumberFromString (&dn, s, &set);
100
101 /* It would be more efficient to store directly in decNumber format,
102 but that is impractical from current data structure size.
103 Encoding as a decimal128 is much more compact. */
104 decimal_from_decnumber (r, &dn, &set);
105 }
106
107 /* Initialize a decNumber from a REAL_VALUE_TYPE. */
108
109 static void
110 decimal_to_decnumber (const REAL_VALUE_TYPE *r, decNumber *dn)
111 {
112 decContext set;
113 decContextDefault (&set, DEC_INIT_DECIMAL128);
114 set.traps = 0;
115
116 switch (r->cl)
117 {
118 case rvc_zero:
119 decNumberZero (dn);
120 break;
121 case rvc_inf:
122 decNumberFromString (dn, "Infinity", &set);
123 break;
124 case rvc_nan:
125 if (r->signalling)
126 decNumberFromString (dn, "snan", &set);
127 else
128 decNumberFromString (dn, "nan", &set);
129 break;
130 case rvc_normal:
131 gcc_assert (r->decimal);
132 decimal128ToNumber ((const decimal128 *) r->sig, dn);
133 break;
134 default:
135 gcc_unreachable ();
136 }
137
138 /* Fix up sign bit. */
139 if (r->sign != decNumberIsNegative (dn))
140 dn->bits ^= DECNEG;
141 }
142
143 /* Encode a real into an IEEE 754R decimal32 type. */
144
145 void
146 encode_decimal32 (const struct real_format *fmt ATTRIBUTE_UNUSED,
147 long *buf, const REAL_VALUE_TYPE *r)
148 {
149 decNumber dn;
150 decimal32 d32;
151 decContext set;
152
153 decContextDefault (&set, DEC_INIT_DECIMAL128);
154 set.traps = 0;
155
156 decimal_to_decnumber (r, &dn);
157 decimal32FromNumber (&d32, &dn, &set);
158
159 if (FLOAT_WORDS_BIG_ENDIAN)
160 buf[0] = *(uint32_t *) d32.bytes;
161 else
162 buf[0] = dfp_byte_swap (*(uint32_t *) d32.bytes);
163 }
164
165 /* Decode an IEEE 754R decimal32 type into a real. */
166
167 void
168 decode_decimal32 (const struct real_format *fmt ATTRIBUTE_UNUSED,
169 REAL_VALUE_TYPE *r, const long *buf)
170 {
171 decNumber dn;
172 decimal32 d32;
173 decContext set;
174
175 decContextDefault (&set, DEC_INIT_DECIMAL128);
176 set.traps = 0;
177
178 if (FLOAT_WORDS_BIG_ENDIAN)
179 *((uint32_t *) d32.bytes) = (uint32_t) buf[0];
180 else
181 *((uint32_t *) d32.bytes) = dfp_byte_swap ((uint32_t) buf[0]);
182
183 decimal32ToNumber (&d32, &dn);
184 decimal_from_decnumber (r, &dn, &set);
185 }
186
187 /* Encode a real into an IEEE 754R decimal64 type. */
188
189 void
190 encode_decimal64 (const struct real_format *fmt ATTRIBUTE_UNUSED,
191 long *buf, const REAL_VALUE_TYPE *r)
192 {
193 decNumber dn;
194 decimal64 d64;
195 decContext set;
196
197 decContextDefault (&set, DEC_INIT_DECIMAL128);
198 set.traps = 0;
199
200 decimal_to_decnumber (r, &dn);
201 decimal64FromNumber (&d64, &dn, &set);
202
203 if (FLOAT_WORDS_BIG_ENDIAN)
204 {
205 buf[0] = *(uint32_t *) &d64.bytes[0];
206 buf[1] = *(uint32_t *) &d64.bytes[4];
207 }
208 else
209 {
210 buf[1] = dfp_byte_swap (*(uint32_t *) &d64.bytes[0]);
211 buf[0] = dfp_byte_swap (*(uint32_t *) &d64.bytes[4]);
212 }
213 }
214
215 /* Decode an IEEE 754R decimal64 type into a real. */
216
217 void
218 decode_decimal64 (const struct real_format *fmt ATTRIBUTE_UNUSED,
219 REAL_VALUE_TYPE *r, const long *buf)
220 {
221 decNumber dn;
222 decimal64 d64;
223 decContext set;
224
225 decContextDefault (&set, DEC_INIT_DECIMAL128);
226 set.traps = 0;
227
228 if (FLOAT_WORDS_BIG_ENDIAN)
229 {
230 *((uint32_t *) &d64.bytes[0]) = (uint32_t) buf[0];
231 *((uint32_t *) &d64.bytes[4]) = (uint32_t) buf[1];
232 }
233 else
234 {
235 *((uint32_t *) &d64.bytes[0]) = dfp_byte_swap ((uint32_t) buf[1]);
236 *((uint32_t *) &d64.bytes[4]) = dfp_byte_swap ((uint32_t) buf[0]);
237 }
238
239 decimal64ToNumber (&d64, &dn);
240 decimal_from_decnumber (r, &dn, &set);
241 }
242
243 /* Encode a real into an IEEE 754R decimal128 type. */
244
245 void
246 encode_decimal128 (const struct real_format *fmt ATTRIBUTE_UNUSED,
247 long *buf, const REAL_VALUE_TYPE *r)
248 {
249 decNumber dn;
250 decContext set;
251 decimal128 d128;
252
253 decContextDefault (&set, DEC_INIT_DECIMAL128);
254 set.traps = 0;
255
256 decimal_to_decnumber (r, &dn);
257 decimal128FromNumber (&d128, &dn, &set);
258
259 if (FLOAT_WORDS_BIG_ENDIAN)
260 {
261 buf[0] = *(uint32_t *) &d128.bytes[0];
262 buf[1] = *(uint32_t *) &d128.bytes[4];
263 buf[2] = *(uint32_t *) &d128.bytes[8];
264 buf[3] = *(uint32_t *) &d128.bytes[12];
265 }
266 else
267 {
268 buf[0] = dfp_byte_swap (*(uint32_t *) &d128.bytes[12]);
269 buf[1] = dfp_byte_swap (*(uint32_t *) &d128.bytes[8]);
270 buf[2] = dfp_byte_swap (*(uint32_t *) &d128.bytes[4]);
271 buf[3] = dfp_byte_swap (*(uint32_t *) &d128.bytes[0]);
272 }
273 }
274
275 /* Decode an IEEE 754R decimal128 type into a real. */
276
277 void
278 decode_decimal128 (const struct real_format *fmt ATTRIBUTE_UNUSED,
279 REAL_VALUE_TYPE *r, const long *buf)
280 {
281 decNumber dn;
282 decimal128 d128;
283 decContext set;
284
285 decContextDefault (&set, DEC_INIT_DECIMAL128);
286 set.traps = 0;
287
288 if (FLOAT_WORDS_BIG_ENDIAN)
289 {
290 *((uint32_t *) &d128.bytes[0]) = (uint32_t) buf[0];
291 *((uint32_t *) &d128.bytes[4]) = (uint32_t) buf[1];
292 *((uint32_t *) &d128.bytes[8]) = (uint32_t) buf[2];
293 *((uint32_t *) &d128.bytes[12]) = (uint32_t) buf[3];
294 }
295 else
296 {
297 *((uint32_t *) &d128.bytes[0]) = dfp_byte_swap ((uint32_t) buf[3]);
298 *((uint32_t *) &d128.bytes[4]) = dfp_byte_swap ((uint32_t) buf[2]);
299 *((uint32_t *) &d128.bytes[8]) = dfp_byte_swap ((uint32_t) buf[1]);
300 *((uint32_t *) &d128.bytes[12]) = dfp_byte_swap ((uint32_t) buf[0]);
301 }
302
303 decimal128ToNumber (&d128, &dn);
304 decimal_from_decnumber (r, &dn, &set);
305 }
306
307 /* Helper function to convert from a binary real internal
308 representation. */
309
310 static void
311 decimal_to_binary (REAL_VALUE_TYPE *to, const REAL_VALUE_TYPE *from,
312 enum machine_mode mode)
313 {
314 char string[256];
315 const decimal128 *const d128 = (const decimal128 *) from->sig;
316
317 decimal128ToString (d128, string);
318 real_from_string3 (to, string, mode);
319 }
320
321
322 /* Helper function to convert from a binary real internal
323 representation. */
324
325 static void
326 decimal_from_binary (REAL_VALUE_TYPE *to, const REAL_VALUE_TYPE *from)
327 {
328 char string[256];
329
330 /* We convert to string, then to decNumber then to decimal128. */
331 real_to_decimal (string, from, sizeof (string), 0, 1);
332 decimal_real_from_string (to, string);
333 }
334
335 /* Helper function to real.c:do_compare() to handle decimal internal
336 representation including when one of the operands is still in the
337 binary internal representation. */
338
339 int
340 decimal_do_compare (const REAL_VALUE_TYPE *a, const REAL_VALUE_TYPE *b,
341 int nan_result)
342 {
343 decContext set;
344 decNumber dn, dn2, dn3;
345 REAL_VALUE_TYPE a1, b1;
346
347 /* If either operand is non-decimal, create temporary versions. */
348 if (!a->decimal)
349 {
350 decimal_from_binary (&a1, a);
351 a = &a1;
352 }
353 if (!b->decimal)
354 {
355 decimal_from_binary (&b1, b);
356 b = &b1;
357 }
358
359 /* Convert into decNumber form for comparison operation. */
360 decContextDefault (&set, DEC_INIT_DECIMAL128);
361 set.traps = 0;
362 decimal128ToNumber ((const decimal128 *) a->sig, &dn2);
363 decimal128ToNumber ((const decimal128 *) b->sig, &dn3);
364
365 /* Finally, do the comparison. */
366 decNumberCompare (&dn, &dn2, &dn3, &set);
367
368 /* Return the comparison result. */
369 if (decNumberIsNaN (&dn))
370 return nan_result;
371 else if (decNumberIsZero (&dn))
372 return 0;
373 else if (decNumberIsNegative (&dn))
374 return -1;
375 else
376 return 1;
377 }
378
379 /* Helper to round_for_format, handling decimal float types. */
380
381 void
382 decimal_round_for_format (const struct real_format *fmt, REAL_VALUE_TYPE *r)
383 {
384 decNumber dn;
385 decContext set;
386
387 /* Real encoding occurs later. */
388 if (r->cl != rvc_normal)
389 return;
390
391 decContextDefault (&set, DEC_INIT_DECIMAL128);
392 set.traps = 0;
393 decimal128ToNumber ((decimal128 *) r->sig, &dn);
394
395 if (fmt == &decimal_quad_format)
396 {
397 /* The internal format is already in this format. */
398 return;
399 }
400 else if (fmt == &decimal_single_format)
401 {
402 decimal32 d32;
403 decContextDefault (&set, DEC_INIT_DECIMAL32);
404 set.traps = 0;
405
406 decimal32FromNumber (&d32, &dn, &set);
407 decimal32ToNumber (&d32, &dn);
408 }
409 else if (fmt == &decimal_double_format)
410 {
411 decimal64 d64;
412 decContextDefault (&set, DEC_INIT_DECIMAL64);
413 set.traps = 0;
414
415 decimal64FromNumber (&d64, &dn, &set);
416 decimal64ToNumber (&d64, &dn);
417 }
418 else
419 gcc_unreachable ();
420
421 decimal_from_decnumber (r, &dn, &set);
422 }
423
424 /* Extend or truncate to a new mode. Handles conversions between
425 binary and decimal types. */
426
427 void
428 decimal_real_convert (REAL_VALUE_TYPE *r, enum machine_mode mode,
429 const REAL_VALUE_TYPE *a)
430 {
431 const struct real_format *fmt = REAL_MODE_FORMAT (mode);
432
433 if (a->decimal && fmt->b == 10)
434 return;
435 if (a->decimal)
436 decimal_to_binary (r, a, mode);
437 else
438 decimal_from_binary (r, a);
439 }
440
441 /* Render R_ORIG as a decimal floating point constant. Emit DIGITS
442 significant digits in the result, bounded by BUF_SIZE. If DIGITS
443 is 0, choose the maximum for the representation. If
444 CROP_TRAILING_ZEROS, strip trailing zeros. Currently, not honoring
445 DIGITS or CROP_TRAILING_ZEROS. */
446
447 void
448 decimal_real_to_decimal (char *str, const REAL_VALUE_TYPE *r_orig,
449 size_t buf_size,
450 size_t digits ATTRIBUTE_UNUSED,
451 int crop_trailing_zeros ATTRIBUTE_UNUSED)
452 {
453 const decimal128 *const d128 = (const decimal128*) r_orig->sig;
454
455 /* decimal128ToString requires space for at least 24 characters;
456 Require two more for suffix. */
457 gcc_assert (buf_size >= 24);
458 decimal128ToString (d128, str);
459 }
460
461 static bool
462 decimal_do_add (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *op0,
463 const REAL_VALUE_TYPE *op1, int subtract_p)
464 {
465 decNumber dn;
466 decContext set;
467 decNumber dn2, dn3;
468
469 decimal_to_decnumber (op0, &dn2);
470 decimal_to_decnumber (op1, &dn3);
471
472 decContextDefault (&set, DEC_INIT_DECIMAL128);
473 set.traps = 0;
474
475 if (subtract_p)
476 decNumberSubtract (&dn, &dn2, &dn3, &set);
477 else
478 decNumberAdd (&dn, &dn2, &dn3, &set);
479
480 decimal_from_decnumber (r, &dn, &set);
481
482 /* Return true, if inexact. */
483 return (set.status & DEC_Inexact);
484 }
485
486 /* Compute R = OP0 * OP1. */
487
488 static bool
489 decimal_do_multiply (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *op0,
490 const REAL_VALUE_TYPE *op1)
491 {
492 decContext set;
493 decNumber dn, dn2, dn3;
494
495 decimal_to_decnumber (op0, &dn2);
496 decimal_to_decnumber (op1, &dn3);
497
498 decContextDefault (&set, DEC_INIT_DECIMAL128);
499 set.traps = 0;
500
501 decNumberMultiply (&dn, &dn2, &dn3, &set);
502 decimal_from_decnumber (r, &dn, &set);
503
504 /* Return true, if inexact. */
505 return (set.status & DEC_Inexact);
506 }
507
508 /* Compute R = OP0 / OP1. */
509
510 static bool
511 decimal_do_divide (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *op0,
512 const REAL_VALUE_TYPE *op1)
513 {
514 decContext set;
515 decNumber dn, dn2, dn3;
516
517 decimal_to_decnumber (op0, &dn2);
518 decimal_to_decnumber (op1, &dn3);
519
520 decContextDefault (&set, DEC_INIT_DECIMAL128);
521 set.traps = 0;
522
523 decNumberDivide (&dn, &dn2, &dn3, &set);
524 decimal_from_decnumber (r, &dn, &set);
525
526 /* Return true, if inexact. */
527 return (set.status & DEC_Inexact);
528 }
529
530 /* Set R to A truncated to an integral value toward zero (decimal
531 floating point). */
532
533 void
534 decimal_do_fix_trunc (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *a)
535 {
536 decNumber dn, dn2;
537 decContext set;
538
539 decContextDefault (&set, DEC_INIT_DECIMAL128);
540 set.traps = 0;
541 set.round = DEC_ROUND_DOWN;
542 decimal128ToNumber ((const decimal128 *) a->sig, &dn2);
543
544 decNumberToIntegralValue (&dn, &dn2, &set);
545 decimal_from_decnumber (r, &dn, &set);
546 }
547
548 /* Render decimal float value R as an integer. */
549
550 HOST_WIDE_INT
551 decimal_real_to_integer (const REAL_VALUE_TYPE *r)
552 {
553 decContext set;
554 decNumber dn, dn2, dn3;
555 REAL_VALUE_TYPE to;
556 char string[256];
557
558 decContextDefault (&set, DEC_INIT_DECIMAL128);
559 set.traps = 0;
560 set.round = DEC_ROUND_DOWN;
561 decimal128ToNumber ((const decimal128 *) r->sig, &dn);
562
563 decNumberToIntegralValue (&dn2, &dn, &set);
564 decNumberZero (&dn3);
565 decNumberRescale (&dn, &dn2, &dn3, &set);
566
567 /* Convert to REAL_VALUE_TYPE and call appropriate conversion
568 function. */
569 decNumberToString (&dn, string);
570 real_from_string (&to, string);
571 return real_to_integer (&to);
572 }
573
574 /* Likewise, but to an integer pair, HI+LOW. */
575
576 void
577 decimal_real_to_integer2 (HOST_WIDE_INT *plow, HOST_WIDE_INT *phigh,
578 const REAL_VALUE_TYPE *r)
579 {
580 decContext set;
581 decNumber dn, dn2, dn3;
582 REAL_VALUE_TYPE to;
583 char string[256];
584
585 decContextDefault (&set, DEC_INIT_DECIMAL128);
586 set.traps = 0;
587 set.round = DEC_ROUND_DOWN;
588 decimal128ToNumber ((const decimal128 *) r->sig, &dn);
589
590 decNumberToIntegralValue (&dn2, &dn, &set);
591 decNumberZero (&dn3);
592 decNumberRescale (&dn, &dn2, &dn3, &set);
593
594 /* Conver to REAL_VALUE_TYPE and call appropriate conversion
595 function. */
596 decNumberToString (&dn, string);
597 real_from_string (&to, string);
598 real_to_integer2 (plow, phigh, &to);
599 }
600
601 /* Perform the decimal floating point operation described by CODE.
602 For a unary operation, OP1 will be NULL. This function returns
603 true if the result may be inexact due to loss of precision. */
604
605 bool
606 decimal_real_arithmetic (REAL_VALUE_TYPE *r, enum tree_code code,
607 const REAL_VALUE_TYPE *op0,
608 const REAL_VALUE_TYPE *op1)
609 {
610 REAL_VALUE_TYPE a, b;
611
612 /* If either operand is non-decimal, create temporaries. */
613 if (!op0->decimal)
614 {
615 decimal_from_binary (&a, op0);
616 op0 = &a;
617 }
618 if (op1 && !op1->decimal)
619 {
620 decimal_from_binary (&b, op1);
621 op1 = &b;
622 }
623
624 switch (code)
625 {
626 case PLUS_EXPR:
627 return decimal_do_add (r, op0, op1, 0);
628
629 case MINUS_EXPR:
630 return decimal_do_add (r, op0, op1, 1);
631
632 case MULT_EXPR:
633 return decimal_do_multiply (r, op0, op1);
634
635 case RDIV_EXPR:
636 return decimal_do_divide (r, op0, op1);
637
638 case MIN_EXPR:
639 if (op1->cl == rvc_nan)
640 *r = *op1;
641 else if (real_compare (UNLT_EXPR, op0, op1))
642 *r = *op0;
643 else
644 *r = *op1;
645 return false;
646
647 case MAX_EXPR:
648 if (op1->cl == rvc_nan)
649 *r = *op1;
650 else if (real_compare (LT_EXPR, op0, op1))
651 *r = *op1;
652 else
653 *r = *op0;
654 return false;
655
656 case NEGATE_EXPR:
657 {
658 *r = *op0;
659 /* Flip sign bit. */
660 decimal128FlipSign ((decimal128 *) r->sig);
661 /* Keep sign field in sync. */
662 r->sign ^= 1;
663 }
664 return false;
665
666 case ABS_EXPR:
667 {
668 *r = *op0;
669 /* Clear sign bit. */
670 decimal128ClearSign ((decimal128 *) r->sig);
671 /* Keep sign field in sync. */
672 r->sign = 0;
673 }
674 return false;
675
676 case FIX_TRUNC_EXPR:
677 decimal_do_fix_trunc (r, op0);
678 return false;
679
680 default:
681 gcc_unreachable ();
682 }
683 }
684
685 /* Fills R with the largest finite value representable in mode MODE.
686 If SIGN is nonzero, R is set to the most negative finite value. */
687
688 void
689 decimal_real_maxval (REAL_VALUE_TYPE *r, int sign, enum machine_mode mode)
690 {
691 const char *max;
692
693 switch (mode)
694 {
695 case SDmode:
696 max = "9.999999E96";
697 break;
698 case DDmode:
699 max = "9.999999999999999E384";
700 break;
701 case TDmode:
702 max = "9.999999999999999999999999999999999E6144";
703 break;
704 default:
705 gcc_unreachable ();
706 }
707
708 decimal_real_from_string (r, max);
709 if (sign)
710 decimal128SetSign ((decimal128 *) r->sig, 1);
711 }