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909e2256 1/* Decimal floating point support.
95aac11b
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2 Copyright (C) 2005, 2006, 2007, 2008, 2009 Free Software
3 Foundation, Inc.
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4
5This file is part of GCC.
6
7GCC is free software; you can redistribute it and/or modify it under
8the terms of the GNU General Public License as published by the Free
9dcd6f09 9Software Foundation; either version 3, or (at your option) any later
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10version.
11
12GCC is distributed in the hope that it will be useful, but WITHOUT ANY
13WARRANTY; without even the implied warranty of MERCHANTABILITY or
14FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
15for more details.
16
17You should have received a copy of the GNU General Public License
9dcd6f09
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18along with GCC; see the file COPYING3. If not see
19<http://www.gnu.org/licenses/>. */
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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"
2533577f 35#include "decimal128Local.h"
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36#include "decimal64.h"
37#include "decimal32.h"
38#include "decNumber.h"
39
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40#ifndef WORDS_BIGENDIAN
41#define WORDS_BIGENDIAN 0
42#endif
43
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44/* Initialize R (a real with the decimal flag set) from DN. Can
45 utilize status passed in via CONTEXT, if a previous operation had
46 interesting status. */
47
48static void
49decimal_from_decnumber (REAL_VALUE_TYPE *r, decNumber *dn, decContext *context)
50{
51 memset (r, 0, sizeof (REAL_VALUE_TYPE));
52
53 r->cl = rvc_normal;
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54 if (decNumberIsNaN (dn))
55 r->cl = rvc_nan;
56 if (decNumberIsInfinite (dn))
57 r->cl = rvc_inf;
58 if (context->status & DEC_Overflow)
59 r->cl = rvc_inf;
60 if (decNumberIsNegative (dn))
61 r->sign = 1;
62 r->decimal = 1;
63
64 if (r->cl != rvc_normal)
65 return;
66
67 decContextDefault (context, DEC_INIT_DECIMAL128);
68 context->traps = 0;
69
70 decimal128FromNumber ((decimal128 *) r->sig, dn, context);
71}
72
73/* Create decimal encoded R from string S. */
74
75void
76decimal_real_from_string (REAL_VALUE_TYPE *r, const char *s)
77{
78 decNumber dn;
79 decContext set;
80 decContextDefault (&set, DEC_INIT_DECIMAL128);
81 set.traps = 0;
82
5f754896 83 decNumberFromString (&dn, s, &set);
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84
85 /* It would be more efficient to store directly in decNumber format,
86 but that is impractical from current data structure size.
87 Encoding as a decimal128 is much more compact. */
88 decimal_from_decnumber (r, &dn, &set);
89}
90
91/* Initialize a decNumber from a REAL_VALUE_TYPE. */
92
93static void
94decimal_to_decnumber (const REAL_VALUE_TYPE *r, decNumber *dn)
95{
96 decContext set;
97 decContextDefault (&set, DEC_INIT_DECIMAL128);
98 set.traps = 0;
99
100 switch (r->cl)
101 {
102 case rvc_zero:
103 decNumberZero (dn);
104 break;
105 case rvc_inf:
5f754896 106 decNumberFromString (dn, "Infinity", &set);
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107 break;
108 case rvc_nan:
109 if (r->signalling)
5f754896 110 decNumberFromString (dn, "snan", &set);
909e2256 111 else
5f754896 112 decNumberFromString (dn, "nan", &set);
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113 break;
114 case rvc_normal:
115 gcc_assert (r->decimal);
5f754896 116 decimal128ToNumber ((const decimal128 *) r->sig, dn);
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117 break;
118 default:
119 gcc_unreachable ();
120 }
121
122 /* Fix up sign bit. */
123 if (r->sign != decNumberIsNegative (dn))
f64ad1d3 124 dn->bits ^= DECNEG;
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125}
126
7292b8e4 127/* Encode a real into an IEEE 754 decimal32 type. */
909e2256 128
83f676b3 129void
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130encode_decimal32 (const struct real_format *fmt ATTRIBUTE_UNUSED,
131 long *buf, const REAL_VALUE_TYPE *r)
132{
133 decNumber dn;
134 decimal32 d32;
135 decContext set;
5a5c6435 136 int32_t image;
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137
138 decContextDefault (&set, DEC_INIT_DECIMAL128);
139 set.traps = 0;
140
b8698a0f 141 decimal_to_decnumber (r, &dn);
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142 decimal32FromNumber (&d32, &dn, &set);
143
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144 memcpy (&image, d32.bytes, sizeof (int32_t));
145 buf[0] = image;
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146}
147
7292b8e4 148/* Decode an IEEE 754 decimal32 type into a real. */
909e2256 149
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150void
151decode_decimal32 (const struct real_format *fmt ATTRIBUTE_UNUSED,
152 REAL_VALUE_TYPE *r, const long *buf)
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153{
154 decNumber dn;
155 decimal32 d32;
156 decContext set;
5a5c6435 157 int32_t image;
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158
159 decContextDefault (&set, DEC_INIT_DECIMAL128);
160 set.traps = 0;
161
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162 image = buf[0];
163 memcpy (&d32.bytes, &image, sizeof (int32_t));
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164
165 decimal32ToNumber (&d32, &dn);
b8698a0f 166 decimal_from_decnumber (r, &dn, &set);
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167}
168
7292b8e4 169/* Encode a real into an IEEE 754 decimal64 type. */
909e2256 170
83f676b3 171void
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172encode_decimal64 (const struct real_format *fmt ATTRIBUTE_UNUSED,
173 long *buf, const REAL_VALUE_TYPE *r)
174{
175 decNumber dn;
176 decimal64 d64;
177 decContext set;
5a5c6435 178 int32_t image;
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179
180 decContextDefault (&set, DEC_INIT_DECIMAL128);
181 set.traps = 0;
182
183 decimal_to_decnumber (r, &dn);
184 decimal64FromNumber (&d64, &dn, &set);
185
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186 if (WORDS_BIGENDIAN == FLOAT_WORDS_BIG_ENDIAN)
187 {
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188 memcpy (&image, &d64.bytes[0], sizeof (int32_t));
189 buf[0] = image;
190 memcpy (&image, &d64.bytes[4], sizeof (int32_t));
191 buf[1] = image;
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192 }
193 else
194 {
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195 memcpy (&image, &d64.bytes[4], sizeof (int32_t));
196 buf[0] = image;
197 memcpy (&image, &d64.bytes[0], sizeof (int32_t));
198 buf[1] = image;
bc6d4c3f 199 }
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200}
201
7292b8e4 202/* Decode an IEEE 754 decimal64 type into a real. */
909e2256 203
83f676b3 204void
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205decode_decimal64 (const struct real_format *fmt ATTRIBUTE_UNUSED,
206 REAL_VALUE_TYPE *r, const long *buf)
b8698a0f 207{
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208 decNumber dn;
209 decimal64 d64;
210 decContext set;
5a5c6435 211 int32_t image;
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212
213 decContextDefault (&set, DEC_INIT_DECIMAL128);
214 set.traps = 0;
215
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216 if (WORDS_BIGENDIAN == FLOAT_WORDS_BIG_ENDIAN)
217 {
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218 image = buf[0];
219 memcpy (&d64.bytes[0], &image, sizeof (int32_t));
220 image = buf[1];
221 memcpy (&d64.bytes[4], &image, sizeof (int32_t));
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222 }
223 else
224 {
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225 image = buf[1];
226 memcpy (&d64.bytes[0], &image, sizeof (int32_t));
227 image = buf[0];
228 memcpy (&d64.bytes[4], &image, sizeof (int32_t));
bc6d4c3f 229 }
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230
231 decimal64ToNumber (&d64, &dn);
b8698a0f 232 decimal_from_decnumber (r, &dn, &set);
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233}
234
7292b8e4 235/* Encode a real into an IEEE 754 decimal128 type. */
909e2256 236
83f676b3 237void
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238encode_decimal128 (const struct real_format *fmt ATTRIBUTE_UNUSED,
239 long *buf, const REAL_VALUE_TYPE *r)
240{
241 decNumber dn;
242 decContext set;
243 decimal128 d128;
5a5c6435 244 int32_t image;
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245
246 decContextDefault (&set, DEC_INIT_DECIMAL128);
247 set.traps = 0;
248
249 decimal_to_decnumber (r, &dn);
250 decimal128FromNumber (&d128, &dn, &set);
251
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252 if (WORDS_BIGENDIAN == FLOAT_WORDS_BIG_ENDIAN)
253 {
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254 memcpy (&image, &d128.bytes[0], sizeof (int32_t));
255 buf[0] = image;
256 memcpy (&image, &d128.bytes[4], sizeof (int32_t));
257 buf[1] = image;
258 memcpy (&image, &d128.bytes[8], sizeof (int32_t));
259 buf[2] = image;
260 memcpy (&image, &d128.bytes[12], sizeof (int32_t));
261 buf[3] = image;
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262 }
263 else
264 {
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265 memcpy (&image, &d128.bytes[12], sizeof (int32_t));
266 buf[0] = image;
267 memcpy (&image, &d128.bytes[8], sizeof (int32_t));
268 buf[1] = image;
269 memcpy (&image, &d128.bytes[4], sizeof (int32_t));
270 buf[2] = image;
271 memcpy (&image, &d128.bytes[0], sizeof (int32_t));
272 buf[3] = image;
bc6d4c3f 273 }
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274}
275
7292b8e4 276/* Decode an IEEE 754 decimal128 type into a real. */
909e2256 277
83f676b3 278void
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279decode_decimal128 (const struct real_format *fmt ATTRIBUTE_UNUSED,
280 REAL_VALUE_TYPE *r, const long *buf)
281{
282 decNumber dn;
283 decimal128 d128;
284 decContext set;
5a5c6435 285 int32_t image;
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286
287 decContextDefault (&set, DEC_INIT_DECIMAL128);
288 set.traps = 0;
289
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290 if (WORDS_BIGENDIAN == FLOAT_WORDS_BIG_ENDIAN)
291 {
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292 image = buf[0];
293 memcpy (&d128.bytes[0], &image, sizeof (int32_t));
294 image = buf[1];
295 memcpy (&d128.bytes[4], &image, sizeof (int32_t));
296 image = buf[2];
297 memcpy (&d128.bytes[8], &image, sizeof (int32_t));
298 image = buf[3];
299 memcpy (&d128.bytes[12], &image, sizeof (int32_t));
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300 }
301 else
302 {
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303 image = buf[3];
304 memcpy (&d128.bytes[0], &image, sizeof (int32_t));
305 image = buf[2];
306 memcpy (&d128.bytes[4], &image, sizeof (int32_t));
307 image = buf[1];
308 memcpy (&d128.bytes[8], &image, sizeof (int32_t));
309 image = buf[0];
310 memcpy (&d128.bytes[12], &image, sizeof (int32_t));
bc6d4c3f 311 }
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312
313 decimal128ToNumber (&d128, &dn);
b8698a0f 314 decimal_from_decnumber (r, &dn, &set);
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315}
316
317/* Helper function to convert from a binary real internal
318 representation. */
319
320static void
321decimal_to_binary (REAL_VALUE_TYPE *to, const REAL_VALUE_TYPE *from,
322 enum machine_mode mode)
323{
324 char string[256];
5f754896 325 const decimal128 *const d128 = (const decimal128 *) from->sig;
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326
327 decimal128ToString (d128, string);
328 real_from_string3 (to, string, mode);
329}
330
331
332/* Helper function to convert from a binary real internal
333 representation. */
334
335static void
336decimal_from_binary (REAL_VALUE_TYPE *to, const REAL_VALUE_TYPE *from)
337{
338 char string[256];
339
340 /* We convert to string, then to decNumber then to decimal128. */
341 real_to_decimal (string, from, sizeof (string), 0, 1);
342 decimal_real_from_string (to, string);
343}
344
345/* Helper function to real.c:do_compare() to handle decimal internal
6416ae7f 346 representation including when one of the operands is still in the
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347 binary internal representation. */
348
349int
350decimal_do_compare (const REAL_VALUE_TYPE *a, const REAL_VALUE_TYPE *b,
351 int nan_result)
352{
353 decContext set;
354 decNumber dn, dn2, dn3;
355 REAL_VALUE_TYPE a1, b1;
356
357 /* If either operand is non-decimal, create temporary versions. */
358 if (!a->decimal)
359 {
360 decimal_from_binary (&a1, a);
361 a = &a1;
362 }
363 if (!b->decimal)
364 {
365 decimal_from_binary (&b1, b);
366 b = &b1;
367 }
b8698a0f 368
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369 /* Convert into decNumber form for comparison operation. */
370 decContextDefault (&set, DEC_INIT_DECIMAL128);
b8698a0f 371 set.traps = 0;
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372 decimal128ToNumber ((const decimal128 *) a->sig, &dn2);
373 decimal128ToNumber ((const decimal128 *) b->sig, &dn3);
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374
375 /* Finally, do the comparison. */
376 decNumberCompare (&dn, &dn2, &dn3, &set);
377
378 /* Return the comparison result. */
379 if (decNumberIsNaN (&dn))
380 return nan_result;
381 else if (decNumberIsZero (&dn))
382 return 0;
383 else if (decNumberIsNegative (&dn))
384 return -1;
b8698a0f 385 else
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386 return 1;
387}
388
389/* Helper to round_for_format, handling decimal float types. */
390
391void
392decimal_round_for_format (const struct real_format *fmt, REAL_VALUE_TYPE *r)
393{
394 decNumber dn;
395 decContext set;
396
397 /* Real encoding occurs later. */
398 if (r->cl != rvc_normal)
399 return;
400
401 decContextDefault (&set, DEC_INIT_DECIMAL128);
402 set.traps = 0;
403 decimal128ToNumber ((decimal128 *) r->sig, &dn);
404
405 if (fmt == &decimal_quad_format)
406 {
407 /* The internal format is already in this format. */
408 return;
409 }
410 else if (fmt == &decimal_single_format)
411 {
412 decimal32 d32;
413 decContextDefault (&set, DEC_INIT_DECIMAL32);
414 set.traps = 0;
415
416 decimal32FromNumber (&d32, &dn, &set);
417 decimal32ToNumber (&d32, &dn);
418 }
419 else if (fmt == &decimal_double_format)
420 {
421 decimal64 d64;
422 decContextDefault (&set, DEC_INIT_DECIMAL64);
423 set.traps = 0;
424
425 decimal64FromNumber (&d64, &dn, &set);
426 decimal64ToNumber (&d64, &dn);
427 }
428 else
429 gcc_unreachable ();
430
431 decimal_from_decnumber (r, &dn, &set);
432}
433
434/* Extend or truncate to a new mode. Handles conversions between
435 binary and decimal types. */
436
437void
b8698a0f 438decimal_real_convert (REAL_VALUE_TYPE *r, enum machine_mode mode,
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439 const REAL_VALUE_TYPE *a)
440{
441 const struct real_format *fmt = REAL_MODE_FORMAT (mode);
442
443 if (a->decimal && fmt->b == 10)
444 return;
445 if (a->decimal)
446 decimal_to_binary (r, a, mode);
447 else
448 decimal_from_binary (r, a);
449}
450
451/* Render R_ORIG as a decimal floating point constant. Emit DIGITS
452 significant digits in the result, bounded by BUF_SIZE. If DIGITS
453 is 0, choose the maximum for the representation. If
454 CROP_TRAILING_ZEROS, strip trailing zeros. Currently, not honoring
455 DIGITS or CROP_TRAILING_ZEROS. */
456
83f676b3
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457void
458decimal_real_to_decimal (char *str, const REAL_VALUE_TYPE *r_orig,
459 size_t buf_size,
460 size_t digits ATTRIBUTE_UNUSED,
461 int crop_trailing_zeros ATTRIBUTE_UNUSED)
909e2256 462{
5f754896 463 const decimal128 *const d128 = (const decimal128*) r_orig->sig;
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464
465 /* decimal128ToString requires space for at least 24 characters;
466 Require two more for suffix. */
467 gcc_assert (buf_size >= 24);
468 decimal128ToString (d128, str);
469}
470
471static bool
472decimal_do_add (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *op0,
473 const REAL_VALUE_TYPE *op1, int subtract_p)
474{
475 decNumber dn;
476 decContext set;
477 decNumber dn2, dn3;
478
479 decimal_to_decnumber (op0, &dn2);
480 decimal_to_decnumber (op1, &dn3);
481
482 decContextDefault (&set, DEC_INIT_DECIMAL128);
483 set.traps = 0;
484
485 if (subtract_p)
486 decNumberSubtract (&dn, &dn2, &dn3, &set);
b8698a0f 487 else
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488 decNumberAdd (&dn, &dn2, &dn3, &set);
489
490 decimal_from_decnumber (r, &dn, &set);
491
492 /* Return true, if inexact. */
493 return (set.status & DEC_Inexact);
494}
495
496/* Compute R = OP0 * OP1. */
497
498static bool
499decimal_do_multiply (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *op0,
500 const REAL_VALUE_TYPE *op1)
501{
502 decContext set;
503 decNumber dn, dn2, dn3;
504
505 decimal_to_decnumber (op0, &dn2);
506 decimal_to_decnumber (op1, &dn3);
507
508 decContextDefault (&set, DEC_INIT_DECIMAL128);
509 set.traps = 0;
510
511 decNumberMultiply (&dn, &dn2, &dn3, &set);
512 decimal_from_decnumber (r, &dn, &set);
513
514 /* Return true, if inexact. */
515 return (set.status & DEC_Inexact);
516}
517
518/* Compute R = OP0 / OP1. */
519
520static bool
521decimal_do_divide (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *op0,
522 const REAL_VALUE_TYPE *op1)
523{
524 decContext set;
525 decNumber dn, dn2, dn3;
526
527 decimal_to_decnumber (op0, &dn2);
528 decimal_to_decnumber (op1, &dn3);
529
530 decContextDefault (&set, DEC_INIT_DECIMAL128);
531 set.traps = 0;
532
533 decNumberDivide (&dn, &dn2, &dn3, &set);
534 decimal_from_decnumber (r, &dn, &set);
535
536 /* Return true, if inexact. */
537 return (set.status & DEC_Inexact);
538}
539
540/* Set R to A truncated to an integral value toward zero (decimal
541 floating point). */
542
543void
544decimal_do_fix_trunc (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *a)
545{
546 decNumber dn, dn2;
547 decContext set;
548
549 decContextDefault (&set, DEC_INIT_DECIMAL128);
550 set.traps = 0;
551 set.round = DEC_ROUND_DOWN;
5f754896 552 decimal128ToNumber ((const decimal128 *) a->sig, &dn2);
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553
554 decNumberToIntegralValue (&dn, &dn2, &set);
555 decimal_from_decnumber (r, &dn, &set);
556}
557
558/* Render decimal float value R as an integer. */
559
560HOST_WIDE_INT
561decimal_real_to_integer (const REAL_VALUE_TYPE *r)
562{
563 decContext set;
564 decNumber dn, dn2, dn3;
565 REAL_VALUE_TYPE to;
566 char string[256];
567
568 decContextDefault (&set, DEC_INIT_DECIMAL128);
569 set.traps = 0;
570 set.round = DEC_ROUND_DOWN;
5f754896 571 decimal128ToNumber ((const decimal128 *) r->sig, &dn);
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572
573 decNumberToIntegralValue (&dn2, &dn, &set);
574 decNumberZero (&dn3);
575 decNumberRescale (&dn, &dn2, &dn3, &set);
576
577 /* Convert to REAL_VALUE_TYPE and call appropriate conversion
578 function. */
579 decNumberToString (&dn, string);
580 real_from_string (&to, string);
581 return real_to_integer (&to);
582}
583
584/* Likewise, but to an integer pair, HI+LOW. */
585
586void
587decimal_real_to_integer2 (HOST_WIDE_INT *plow, HOST_WIDE_INT *phigh,
588 const REAL_VALUE_TYPE *r)
589{
590 decContext set;
591 decNumber dn, dn2, dn3;
592 REAL_VALUE_TYPE to;
593 char string[256];
594
595 decContextDefault (&set, DEC_INIT_DECIMAL128);
596 set.traps = 0;
597 set.round = DEC_ROUND_DOWN;
5f754896 598 decimal128ToNumber ((const decimal128 *) r->sig, &dn);
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599
600 decNumberToIntegralValue (&dn2, &dn, &set);
601 decNumberZero (&dn3);
602 decNumberRescale (&dn, &dn2, &dn3, &set);
603
fa10beec 604 /* Convert to REAL_VALUE_TYPE and call appropriate conversion
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605 function. */
606 decNumberToString (&dn, string);
607 real_from_string (&to, string);
608 real_to_integer2 (plow, phigh, &to);
609}
610
0b59f49d
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611/* Perform the decimal floating point operation described by CODE.
612 For a unary operation, OP1 will be NULL. This function returns
613 true if the result may be inexact due to loss of precision. */
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614
615bool
0b59f49d 616decimal_real_arithmetic (REAL_VALUE_TYPE *r, enum tree_code code,
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617 const REAL_VALUE_TYPE *op0,
618 const REAL_VALUE_TYPE *op1)
619{
0b59f49d 620 REAL_VALUE_TYPE a, b;
909e2256 621
0b59f49d 622 /* If either operand is non-decimal, create temporaries. */
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623 if (!op0->decimal)
624 {
0b59f49d
BE
625 decimal_from_binary (&a, op0);
626 op0 = &a;
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627 }
628 if (op1 && !op1->decimal)
629 {
0b59f49d
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630 decimal_from_binary (&b, op1);
631 op1 = &b;
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632 }
633
634 switch (code)
635 {
636 case PLUS_EXPR:
0b59f49d 637 return decimal_do_add (r, op0, op1, 0);
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638
639 case MINUS_EXPR:
0b59f49d 640 return decimal_do_add (r, op0, op1, 1);
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641
642 case MULT_EXPR:
0b59f49d 643 return decimal_do_multiply (r, op0, op1);
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644
645 case RDIV_EXPR:
0b59f49d 646 return decimal_do_divide (r, op0, op1);
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647
648 case MIN_EXPR:
649 if (op1->cl == rvc_nan)
650 *r = *op1;
651 else if (real_compare (UNLT_EXPR, op0, op1))
652 *r = *op0;
653 else
654 *r = *op1;
0b59f49d 655 return false;
909e2256
JG
656
657 case MAX_EXPR:
658 if (op1->cl == rvc_nan)
659 *r = *op1;
660 else if (real_compare (LT_EXPR, op0, op1))
661 *r = *op1;
662 else
663 *r = *op0;
0b59f49d 664 return false;
909e2256
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665
666 case NEGATE_EXPR:
667 {
909e2256 668 *r = *op0;
79b87c74
MM
669 /* Flip sign bit. */
670 decimal128FlipSign ((decimal128 *) r->sig);
909e2256
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671 /* Keep sign field in sync. */
672 r->sign ^= 1;
673 }
0b59f49d 674 return false;
909e2256
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675
676 case ABS_EXPR:
677 {
909e2256 678 *r = *op0;
79b87c74
MM
679 /* Clear sign bit. */
680 decimal128ClearSign ((decimal128 *) r->sig);
909e2256
JG
681 /* Keep sign field in sync. */
682 r->sign = 0;
683 }
0b59f49d 684 return false;
909e2256
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685
686 case FIX_TRUNC_EXPR:
687 decimal_do_fix_trunc (r, op0);
0b59f49d 688 return false;
909e2256
JG
689
690 default:
691 gcc_unreachable ();
692 }
909e2256
JG
693}
694
695/* Fills R with the largest finite value representable in mode MODE.
696 If SIGN is nonzero, R is set to the most negative finite value. */
697
698void
699decimal_real_maxval (REAL_VALUE_TYPE *r, int sign, enum machine_mode mode)
b8698a0f 700{
5f754896 701 const char *max;
909e2256
JG
702
703 switch (mode)
704 {
705 case SDmode:
5f754896 706 max = "9.999999E96";
909e2256
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707 break;
708 case DDmode:
5f754896 709 max = "9.999999999999999E384";
909e2256
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710 break;
711 case TDmode:
5f754896 712 max = "9.999999999999999999999999999999999E6144";
909e2256
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713 break;
714 default:
715 gcc_unreachable ();
716 }
717
718 decimal_real_from_string (r, max);
719 if (sign)
79b87c74 720 decimal128SetSign ((decimal128 *) r->sig, 1);
909e2256 721}