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1 /* Decimal floating point support.
2 Copyright (C) 2005, 2006, 2007 Free Software Foundation, Inc.
4 This file is part of GCC.
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 3, or (at your option) any later
9 version.
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.
16 You should have received a copy of the GNU General Public License
17 along with GCC; see the file COPYING3. If not see
18 <http://www.gnu.org/licenses/>. */
20 #include "config.h"
21 #include "system.h"
22 #include "coretypes.h"
23 #include "tm.h"
24 #include "tree.h"
25 #include "toplev.h"
26 #include "real.h"
27 #include "tm_p.h"
28 #include "dfp.h"
30 /* The order of the following headers is important for making sure
31 decNumber structure is large enough to hold decimal128 digits. */
33 #include "decimal128.h"
34 #include "decimal64.h"
35 #include "decimal32.h"
36 #include "decNumber.h"
38 static uint32_t
39 dfp_byte_swap (uint32_t in)
41 uint32_t out = 0;
42 unsigned char *p = (unsigned char *) &out;
43 union {
44 uint32_t i;
45 unsigned char b[4];
46 } u;
48 u.i = in;
49 p[0] = u.b[3];
50 p[1] = u.b[2];
51 p[2] = u.b[1];
52 p[3] = u.b[0];
54 return out;
57 /* Initialize R (a real with the decimal flag set) from DN. Can
58 utilize status passed in via CONTEXT, if a previous operation had
59 interesting status. */
61 static void
62 decimal_from_decnumber (REAL_VALUE_TYPE *r, decNumber *dn, decContext *context)
64 memset (r, 0, sizeof (REAL_VALUE_TYPE));
66 r->cl = rvc_normal;
67 if (decNumberIsZero (dn))
68 r->cl = rvc_zero;
69 if (decNumberIsNaN (dn))
70 r->cl = rvc_nan;
71 if (decNumberIsInfinite (dn))
72 r->cl = rvc_inf;
73 if (context->status & DEC_Overflow)
74 r->cl = rvc_inf;
75 if (decNumberIsNegative (dn))
76 r->sign = 1;
77 r->decimal = 1;
79 if (r->cl != rvc_normal)
80 return;
82 decContextDefault (context, DEC_INIT_DECIMAL128);
83 context->traps = 0;
85 decimal128FromNumber ((decimal128 *) r->sig, dn, context);
88 /* Create decimal encoded R from string S. */
90 void
91 decimal_real_from_string (REAL_VALUE_TYPE *r, const char *s)
93 decNumber dn;
94 decContext set;
95 decContextDefault (&set, DEC_INIT_DECIMAL128);
96 set.traps = 0;
98 decNumberFromString (&dn, (char *) s, &set);
100 /* It would be more efficient to store directly in decNumber format,
101 but that is impractical from current data structure size.
102 Encoding as a decimal128 is much more compact. */
103 decimal_from_decnumber (r, &dn, &set);
106 /* Initialize a decNumber from a REAL_VALUE_TYPE. */
108 static void
109 decimal_to_decnumber (const REAL_VALUE_TYPE *r, decNumber *dn)
111 decContext set;
112 decContextDefault (&set, DEC_INIT_DECIMAL128);
113 set.traps = 0;
115 switch (r->cl)
117 case rvc_zero:
118 decNumberZero (dn);
119 break;
120 case rvc_inf:
121 decNumberFromString (dn, (char *)"Infinity", &set);
122 break;
123 case rvc_nan:
124 if (r->signalling)
125 decNumberFromString (dn, (char *)"snan", &set);
126 else
127 decNumberFromString (dn, (char *)"nan", &set);
128 break;
129 case rvc_normal:
130 gcc_assert (r->decimal);
131 decimal128ToNumber ((decimal128 *) r->sig, dn);
132 break;
133 default:
134 gcc_unreachable ();
137 /* Fix up sign bit. */
138 if (r->sign != decNumberIsNegative (dn))
139 dn->bits ^= DECNEG;
142 /* Encode a real into an IEEE 754R decimal32 type. */
144 void
145 encode_decimal32 (const struct real_format *fmt ATTRIBUTE_UNUSED,
146 long *buf, const REAL_VALUE_TYPE *r)
148 decNumber dn;
149 decimal32 d32;
150 decContext set;
152 decContextDefault (&set, DEC_INIT_DECIMAL128);
153 set.traps = 0;
155 decimal_to_decnumber (r, &dn);
156 decimal32FromNumber (&d32, &dn, &set);
158 if (FLOAT_WORDS_BIG_ENDIAN)
159 buf[0] = *(uint32_t *) d32.bytes;
160 else
161 buf[0] = dfp_byte_swap (*(uint32_t *) d32.bytes);
164 /* Decode an IEEE 754R decimal32 type into a real. */
166 void
167 decode_decimal32 (const struct real_format *fmt ATTRIBUTE_UNUSED,
168 REAL_VALUE_TYPE *r, const long *buf)
170 decNumber dn;
171 decimal32 d32;
172 decContext set;
174 decContextDefault (&set, DEC_INIT_DECIMAL128);
175 set.traps = 0;
177 if (FLOAT_WORDS_BIG_ENDIAN)
178 *((uint32_t *) d32.bytes) = (uint32_t) buf[0];
179 else
180 *((uint32_t *) d32.bytes) = dfp_byte_swap ((uint32_t) buf[0]);
182 decimal32ToNumber (&d32, &dn);
183 decimal_from_decnumber (r, &dn, &set);
186 /* Encode a real into an IEEE 754R decimal64 type. */
188 void
189 encode_decimal64 (const struct real_format *fmt ATTRIBUTE_UNUSED,
190 long *buf, const REAL_VALUE_TYPE *r)
192 decNumber dn;
193 decimal64 d64;
194 decContext set;
196 decContextDefault (&set, DEC_INIT_DECIMAL128);
197 set.traps = 0;
199 decimal_to_decnumber (r, &dn);
200 decimal64FromNumber (&d64, &dn, &set);
202 if (FLOAT_WORDS_BIG_ENDIAN)
204 buf[0] = *(uint32_t *) &d64.bytes[0];
205 buf[1] = *(uint32_t *) &d64.bytes[4];
207 else
209 buf[1] = dfp_byte_swap (*(uint32_t *) &d64.bytes[0]);
210 buf[0] = dfp_byte_swap (*(uint32_t *) &d64.bytes[4]);
214 /* Decode an IEEE 754R decimal64 type into a real. */
216 void
217 decode_decimal64 (const struct real_format *fmt ATTRIBUTE_UNUSED,
218 REAL_VALUE_TYPE *r, const long *buf)
220 decNumber dn;
221 decimal64 d64;
222 decContext set;
224 decContextDefault (&set, DEC_INIT_DECIMAL128);
225 set.traps = 0;
227 if (FLOAT_WORDS_BIG_ENDIAN)
229 *((uint32_t *) &d64.bytes[0]) = (uint32_t) buf[0];
230 *((uint32_t *) &d64.bytes[4]) = (uint32_t) buf[1];
232 else
234 *((uint32_t *) &d64.bytes[0]) = dfp_byte_swap ((uint32_t) buf[1]);
235 *((uint32_t *) &d64.bytes[4]) = dfp_byte_swap ((uint32_t) buf[0]);
238 decimal64ToNumber (&d64, &dn);
239 decimal_from_decnumber (r, &dn, &set);
242 /* Encode a real into an IEEE 754R decimal128 type. */
244 void
245 encode_decimal128 (const struct real_format *fmt ATTRIBUTE_UNUSED,
246 long *buf, const REAL_VALUE_TYPE *r)
248 decNumber dn;
249 decContext set;
250 decimal128 d128;
252 decContextDefault (&set, DEC_INIT_DECIMAL128);
253 set.traps = 0;
255 decimal_to_decnumber (r, &dn);
256 decimal128FromNumber (&d128, &dn, &set);
258 if (FLOAT_WORDS_BIG_ENDIAN)
260 buf[0] = *(uint32_t *) &d128.bytes[0];
261 buf[1] = *(uint32_t *) &d128.bytes[4];
262 buf[2] = *(uint32_t *) &d128.bytes[8];
263 buf[3] = *(uint32_t *) &d128.bytes[12];
265 else
267 buf[0] = dfp_byte_swap (*(uint32_t *) &d128.bytes[12]);
268 buf[1] = dfp_byte_swap (*(uint32_t *) &d128.bytes[8]);
269 buf[2] = dfp_byte_swap (*(uint32_t *) &d128.bytes[4]);
270 buf[3] = dfp_byte_swap (*(uint32_t *) &d128.bytes[0]);
274 /* Decode an IEEE 754R decimal128 type into a real. */
276 void
277 decode_decimal128 (const struct real_format *fmt ATTRIBUTE_UNUSED,
278 REAL_VALUE_TYPE *r, const long *buf)
280 decNumber dn;
281 decimal128 d128;
282 decContext set;
284 decContextDefault (&set, DEC_INIT_DECIMAL128);
285 set.traps = 0;
287 if (FLOAT_WORDS_BIG_ENDIAN)
289 *((uint32_t *) &d128.bytes[0]) = (uint32_t) buf[0];
290 *((uint32_t *) &d128.bytes[4]) = (uint32_t) buf[1];
291 *((uint32_t *) &d128.bytes[8]) = (uint32_t) buf[2];
292 *((uint32_t *) &d128.bytes[12]) = (uint32_t) buf[3];
294 else
296 *((uint32_t *) &d128.bytes[0]) = dfp_byte_swap ((uint32_t) buf[3]);
297 *((uint32_t *) &d128.bytes[4]) = dfp_byte_swap ((uint32_t) buf[2]);
298 *((uint32_t *) &d128.bytes[8]) = dfp_byte_swap ((uint32_t) buf[1]);
299 *((uint32_t *) &d128.bytes[12]) = dfp_byte_swap ((uint32_t) buf[0]);
302 decimal128ToNumber (&d128, &dn);
303 decimal_from_decnumber (r, &dn, &set);
306 /* Helper function to convert from a binary real internal
307 representation. */
309 static void
310 decimal_to_binary (REAL_VALUE_TYPE *to, const REAL_VALUE_TYPE *from,
311 enum machine_mode mode)
313 char string[256];
314 decimal128 *d128;
315 d128 = (decimal128 *) from->sig;
317 decimal128ToString (d128, string);
318 real_from_string3 (to, string, mode);
322 /* Helper function to convert from a binary real internal
323 representation. */
325 static void
326 decimal_from_binary (REAL_VALUE_TYPE *to, const REAL_VALUE_TYPE *from)
328 char string[256];
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);
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. */
340 decimal_do_compare (const REAL_VALUE_TYPE *a, const REAL_VALUE_TYPE *b,
341 int nan_result)
343 decContext set;
344 decNumber dn, dn2, dn3;
345 REAL_VALUE_TYPE a1, b1;
347 /* If either operand is non-decimal, create temporary versions. */
348 if (!a->decimal)
350 decimal_from_binary (&a1, a);
351 a = &a1;
353 if (!b->decimal)
355 decimal_from_binary (&b1, b);
356 b = &b1;
359 /* Convert into decNumber form for comparison operation. */
360 decContextDefault (&set, DEC_INIT_DECIMAL128);
361 set.traps = 0;
362 decimal128ToNumber ((decimal128 *) a->sig, &dn2);
363 decimal128ToNumber ((decimal128 *) b->sig, &dn3);
365 /* Finally, do the comparison. */
366 decNumberCompare (&dn, &dn2, &dn3, &set);
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;
379 /* Helper to round_for_format, handling decimal float types. */
381 void
382 decimal_round_for_format (const struct real_format *fmt, REAL_VALUE_TYPE *r)
384 decNumber dn;
385 decContext set;
387 /* Real encoding occurs later. */
388 if (r->cl != rvc_normal)
389 return;
391 decContextDefault (&set, DEC_INIT_DECIMAL128);
392 set.traps = 0;
393 decimal128ToNumber ((decimal128 *) r->sig, &dn);
395 if (fmt == &decimal_quad_format)
397 /* The internal format is already in this format. */
398 return;
400 else if (fmt == &decimal_single_format)
402 decimal32 d32;
403 decContextDefault (&set, DEC_INIT_DECIMAL32);
404 set.traps = 0;
406 decimal32FromNumber (&d32, &dn, &set);
407 decimal32ToNumber (&d32, &dn);
409 else if (fmt == &decimal_double_format)
411 decimal64 d64;
412 decContextDefault (&set, DEC_INIT_DECIMAL64);
413 set.traps = 0;
415 decimal64FromNumber (&d64, &dn, &set);
416 decimal64ToNumber (&d64, &dn);
418 else
419 gcc_unreachable ();
421 decimal_from_decnumber (r, &dn, &set);
424 /* Extend or truncate to a new mode. Handles conversions between
425 binary and decimal types. */
427 void
428 decimal_real_convert (REAL_VALUE_TYPE *r, enum machine_mode mode,
429 const REAL_VALUE_TYPE *a)
431 const struct real_format *fmt = REAL_MODE_FORMAT (mode);
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);
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. */
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)
453 decimal128 *d128 = (decimal128*) r_orig->sig;
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);
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)
465 decNumber dn;
466 decContext set;
467 decNumber dn2, dn3;
469 decimal_to_decnumber (op0, &dn2);
470 decimal_to_decnumber (op1, &dn3);
472 decContextDefault (&set, DEC_INIT_DECIMAL128);
473 set.traps = 0;
475 if (subtract_p)
476 decNumberSubtract (&dn, &dn2, &dn3, &set);
477 else
478 decNumberAdd (&dn, &dn2, &dn3, &set);
480 decimal_from_decnumber (r, &dn, &set);
482 /* Return true, if inexact. */
483 return (set.status & DEC_Inexact);
486 /* Compute R = OP0 * OP1. */
488 static bool
489 decimal_do_multiply (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *op0,
490 const REAL_VALUE_TYPE *op1)
492 decContext set;
493 decNumber dn, dn2, dn3;
495 decimal_to_decnumber (op0, &dn2);
496 decimal_to_decnumber (op1, &dn3);
498 decContextDefault (&set, DEC_INIT_DECIMAL128);
499 set.traps = 0;
501 decNumberMultiply (&dn, &dn2, &dn3, &set);
502 decimal_from_decnumber (r, &dn, &set);
504 /* Return true, if inexact. */
505 return (set.status & DEC_Inexact);
508 /* Compute R = OP0 / OP1. */
510 static bool
511 decimal_do_divide (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *op0,
512 const REAL_VALUE_TYPE *op1)
514 decContext set;
515 decNumber dn, dn2, dn3;
517 decimal_to_decnumber (op0, &dn2);
518 decimal_to_decnumber (op1, &dn3);
520 decContextDefault (&set, DEC_INIT_DECIMAL128);
521 set.traps = 0;
523 decNumberDivide (&dn, &dn2, &dn3, &set);
524 decimal_from_decnumber (r, &dn, &set);
526 /* Return true, if inexact. */
527 return (set.status & DEC_Inexact);
530 /* Set R to A truncated to an integral value toward zero (decimal
531 floating point). */
533 void
534 decimal_do_fix_trunc (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *a)
536 decNumber dn, dn2;
537 decContext set;
539 decContextDefault (&set, DEC_INIT_DECIMAL128);
540 set.traps = 0;
541 set.round = DEC_ROUND_DOWN;
542 decimal128ToNumber ((decimal128 *) a->sig, &dn2);
544 decNumberToIntegralValue (&dn, &dn2, &set);
545 decimal_from_decnumber (r, &dn, &set);
548 /* Render decimal float value R as an integer. */
550 HOST_WIDE_INT
551 decimal_real_to_integer (const REAL_VALUE_TYPE *r)
553 decContext set;
554 decNumber dn, dn2, dn3;
555 REAL_VALUE_TYPE to;
556 char string[256];
558 decContextDefault (&set, DEC_INIT_DECIMAL128);
559 set.traps = 0;
560 set.round = DEC_ROUND_DOWN;
561 decimal128ToNumber ((decimal128 *) r->sig, &dn);
563 decNumberToIntegralValue (&dn2, &dn, &set);
564 decNumberZero (&dn3);
565 decNumberRescale (&dn, &dn2, &dn3, &set);
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);
574 /* Likewise, but to an integer pair, HI+LOW. */
576 void
577 decimal_real_to_integer2 (HOST_WIDE_INT *plow, HOST_WIDE_INT *phigh,
578 const REAL_VALUE_TYPE *r)
580 decContext set;
581 decNumber dn, dn2, dn3;
582 REAL_VALUE_TYPE to;
583 char string[256];
585 decContextDefault (&set, DEC_INIT_DECIMAL128);
586 set.traps = 0;
587 set.round = DEC_ROUND_DOWN;
588 decimal128ToNumber ((decimal128 *) r->sig, &dn);
590 decNumberToIntegralValue (&dn2, &dn, &set);
591 decNumberZero (&dn3);
592 decNumberRescale (&dn, &dn2, &dn3, &set);
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);
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. */
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)
610 REAL_VALUE_TYPE a, b;
612 /* If either operand is non-decimal, create temporaries. */
613 if (!op0->decimal)
615 decimal_from_binary (&a, op0);
616 op0 = &a;
618 if (op1 && !op1->decimal)
620 decimal_from_binary (&b, op1);
621 op1 = &b;
624 switch (code)
626 case PLUS_EXPR:
627 return decimal_do_add (r, op0, op1, 0);
629 case MINUS_EXPR:
630 return decimal_do_add (r, op0, op1, 1);
632 case MULT_EXPR:
633 return decimal_do_multiply (r, op0, op1);
635 case RDIV_EXPR:
636 return decimal_do_divide (r, op0, op1);
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;
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;
656 case NEGATE_EXPR:
658 decimal128 *d128;
659 *r = *op0;
660 d128 = (decimal128 *) r->sig;
661 /* Flip high bit. */
662 d128->bytes[0] ^= 1 << 7;
663 /* Keep sign field in sync. */
664 r->sign ^= 1;
666 return false;
668 case ABS_EXPR:
670 decimal128 *d128;
671 *r = *op0;
672 d128 = (decimal128 *) r->sig;
673 /* Clear high bit. */
674 d128->bytes[0] &= 0x7f;
675 /* Keep sign field in sync. */
676 r->sign = 0;
678 return false;
680 case FIX_TRUNC_EXPR:
681 decimal_do_fix_trunc (r, op0);
682 return false;
684 default:
685 gcc_unreachable ();
689 /* Fills R with the largest finite value representable in mode MODE.
690 If SIGN is nonzero, R is set to the most negative finite value. */
692 void
693 decimal_real_maxval (REAL_VALUE_TYPE *r, int sign, enum machine_mode mode)
695 char *max;
697 switch (mode)
699 case SDmode:
700 max = (char *) "9.999999E96";
701 break;
702 case DDmode:
703 max = (char *) "9.999999999999999E384";
704 break;
705 case TDmode:
706 max = (char *) "9.999999999999999999999999999999999E6144";
707 break;
708 default:
709 gcc_unreachable ();
712 decimal_real_from_string (r, max);
713 if (sign)
714 r->sig[0] |= 0x80000000;