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909e2256 1/* Decimal floating point support.
7c475d11 2 Copyright (C) 2005, 2006, 2007, 2008, 2009, 2010 Free Software
95aac11b 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"
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26#include "tm_p.h"
27#include "dfp.h"
28
29/* The order of the following headers is important for making sure
30 decNumber structure is large enough to hold decimal128 digits. */
31
32#include "decimal128.h"
2533577f 33#include "decimal128Local.h"
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34#include "decimal64.h"
35#include "decimal32.h"
36#include "decNumber.h"
37
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38#ifndef WORDS_BIGENDIAN
39#define WORDS_BIGENDIAN 0
40#endif
41
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42/* Initialize R (a real with the decimal flag set) from DN. Can
43 utilize status passed in via CONTEXT, if a previous operation had
44 interesting status. */
45
46static void
47decimal_from_decnumber (REAL_VALUE_TYPE *r, decNumber *dn, decContext *context)
48{
49 memset (r, 0, sizeof (REAL_VALUE_TYPE));
50
51 r->cl = rvc_normal;
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52 if (decNumberIsNaN (dn))
53 r->cl = rvc_nan;
54 if (decNumberIsInfinite (dn))
55 r->cl = rvc_inf;
56 if (context->status & DEC_Overflow)
57 r->cl = rvc_inf;
58 if (decNumberIsNegative (dn))
59 r->sign = 1;
60 r->decimal = 1;
61
62 if (r->cl != rvc_normal)
63 return;
64
65 decContextDefault (context, DEC_INIT_DECIMAL128);
66 context->traps = 0;
67
68 decimal128FromNumber ((decimal128 *) r->sig, dn, context);
69}
70
71/* Create decimal encoded R from string S. */
72
73void
74decimal_real_from_string (REAL_VALUE_TYPE *r, const char *s)
75{
76 decNumber dn;
77 decContext set;
78 decContextDefault (&set, DEC_INIT_DECIMAL128);
79 set.traps = 0;
80
5f754896 81 decNumberFromString (&dn, s, &set);
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82
83 /* It would be more efficient to store directly in decNumber format,
84 but that is impractical from current data structure size.
85 Encoding as a decimal128 is much more compact. */
86 decimal_from_decnumber (r, &dn, &set);
87}
88
89/* Initialize a decNumber from a REAL_VALUE_TYPE. */
90
91static void
92decimal_to_decnumber (const REAL_VALUE_TYPE *r, decNumber *dn)
93{
94 decContext set;
95 decContextDefault (&set, DEC_INIT_DECIMAL128);
96 set.traps = 0;
97
98 switch (r->cl)
99 {
100 case rvc_zero:
101 decNumberZero (dn);
102 break;
103 case rvc_inf:
5f754896 104 decNumberFromString (dn, "Infinity", &set);
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105 break;
106 case rvc_nan:
107 if (r->signalling)
5f754896 108 decNumberFromString (dn, "snan", &set);
909e2256 109 else
5f754896 110 decNumberFromString (dn, "nan", &set);
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111 break;
112 case rvc_normal:
113 gcc_assert (r->decimal);
5f754896 114 decimal128ToNumber ((const decimal128 *) r->sig, dn);
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115 break;
116 default:
117 gcc_unreachable ();
118 }
119
120 /* Fix up sign bit. */
121 if (r->sign != decNumberIsNegative (dn))
f64ad1d3 122 dn->bits ^= DECNEG;
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123}
124
7292b8e4 125/* Encode a real into an IEEE 754 decimal32 type. */
909e2256 126
83f676b3 127void
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128encode_decimal32 (const struct real_format *fmt ATTRIBUTE_UNUSED,
129 long *buf, const REAL_VALUE_TYPE *r)
130{
131 decNumber dn;
132 decimal32 d32;
133 decContext set;
5a5c6435 134 int32_t image;
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135
136 decContextDefault (&set, DEC_INIT_DECIMAL128);
137 set.traps = 0;
138
b8698a0f 139 decimal_to_decnumber (r, &dn);
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140 decimal32FromNumber (&d32, &dn, &set);
141
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142 memcpy (&image, d32.bytes, sizeof (int32_t));
143 buf[0] = image;
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144}
145
7292b8e4 146/* Decode an IEEE 754 decimal32 type into a real. */
909e2256 147
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148void
149decode_decimal32 (const struct real_format *fmt ATTRIBUTE_UNUSED,
150 REAL_VALUE_TYPE *r, const long *buf)
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151{
152 decNumber dn;
153 decimal32 d32;
154 decContext set;
5a5c6435 155 int32_t image;
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156
157 decContextDefault (&set, DEC_INIT_DECIMAL128);
158 set.traps = 0;
159
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160 image = buf[0];
161 memcpy (&d32.bytes, &image, sizeof (int32_t));
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162
163 decimal32ToNumber (&d32, &dn);
b8698a0f 164 decimal_from_decnumber (r, &dn, &set);
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165}
166
7292b8e4 167/* Encode a real into an IEEE 754 decimal64 type. */
909e2256 168
83f676b3 169void
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170encode_decimal64 (const struct real_format *fmt ATTRIBUTE_UNUSED,
171 long *buf, const REAL_VALUE_TYPE *r)
172{
173 decNumber dn;
174 decimal64 d64;
175 decContext set;
5a5c6435 176 int32_t image;
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177
178 decContextDefault (&set, DEC_INIT_DECIMAL128);
179 set.traps = 0;
180
181 decimal_to_decnumber (r, &dn);
182 decimal64FromNumber (&d64, &dn, &set);
183
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184 if (WORDS_BIGENDIAN == FLOAT_WORDS_BIG_ENDIAN)
185 {
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186 memcpy (&image, &d64.bytes[0], sizeof (int32_t));
187 buf[0] = image;
188 memcpy (&image, &d64.bytes[4], sizeof (int32_t));
189 buf[1] = image;
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190 }
191 else
192 {
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193 memcpy (&image, &d64.bytes[4], sizeof (int32_t));
194 buf[0] = image;
195 memcpy (&image, &d64.bytes[0], sizeof (int32_t));
196 buf[1] = image;
bc6d4c3f 197 }
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198}
199
7292b8e4 200/* Decode an IEEE 754 decimal64 type into a real. */
909e2256 201
83f676b3 202void
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203decode_decimal64 (const struct real_format *fmt ATTRIBUTE_UNUSED,
204 REAL_VALUE_TYPE *r, const long *buf)
b8698a0f 205{
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206 decNumber dn;
207 decimal64 d64;
208 decContext set;
5a5c6435 209 int32_t image;
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210
211 decContextDefault (&set, DEC_INIT_DECIMAL128);
212 set.traps = 0;
213
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214 if (WORDS_BIGENDIAN == FLOAT_WORDS_BIG_ENDIAN)
215 {
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216 image = buf[0];
217 memcpy (&d64.bytes[0], &image, sizeof (int32_t));
218 image = buf[1];
219 memcpy (&d64.bytes[4], &image, sizeof (int32_t));
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220 }
221 else
222 {
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223 image = buf[1];
224 memcpy (&d64.bytes[0], &image, sizeof (int32_t));
225 image = buf[0];
226 memcpy (&d64.bytes[4], &image, sizeof (int32_t));
bc6d4c3f 227 }
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228
229 decimal64ToNumber (&d64, &dn);
b8698a0f 230 decimal_from_decnumber (r, &dn, &set);
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231}
232
7292b8e4 233/* Encode a real into an IEEE 754 decimal128 type. */
909e2256 234
83f676b3 235void
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236encode_decimal128 (const struct real_format *fmt ATTRIBUTE_UNUSED,
237 long *buf, const REAL_VALUE_TYPE *r)
238{
239 decNumber dn;
240 decContext set;
241 decimal128 d128;
5a5c6435 242 int32_t image;
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243
244 decContextDefault (&set, DEC_INIT_DECIMAL128);
245 set.traps = 0;
246
247 decimal_to_decnumber (r, &dn);
248 decimal128FromNumber (&d128, &dn, &set);
249
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250 if (WORDS_BIGENDIAN == FLOAT_WORDS_BIG_ENDIAN)
251 {
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252 memcpy (&image, &d128.bytes[0], sizeof (int32_t));
253 buf[0] = image;
254 memcpy (&image, &d128.bytes[4], sizeof (int32_t));
255 buf[1] = image;
256 memcpy (&image, &d128.bytes[8], sizeof (int32_t));
257 buf[2] = image;
258 memcpy (&image, &d128.bytes[12], sizeof (int32_t));
259 buf[3] = image;
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260 }
261 else
262 {
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263 memcpy (&image, &d128.bytes[12], sizeof (int32_t));
264 buf[0] = image;
265 memcpy (&image, &d128.bytes[8], sizeof (int32_t));
266 buf[1] = image;
267 memcpy (&image, &d128.bytes[4], sizeof (int32_t));
268 buf[2] = image;
269 memcpy (&image, &d128.bytes[0], sizeof (int32_t));
270 buf[3] = image;
bc6d4c3f 271 }
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272}
273
7292b8e4 274/* Decode an IEEE 754 decimal128 type into a real. */
909e2256 275
83f676b3 276void
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277decode_decimal128 (const struct real_format *fmt ATTRIBUTE_UNUSED,
278 REAL_VALUE_TYPE *r, const long *buf)
279{
280 decNumber dn;
281 decimal128 d128;
282 decContext set;
5a5c6435 283 int32_t image;
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284
285 decContextDefault (&set, DEC_INIT_DECIMAL128);
286 set.traps = 0;
287
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288 if (WORDS_BIGENDIAN == FLOAT_WORDS_BIG_ENDIAN)
289 {
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290 image = buf[0];
291 memcpy (&d128.bytes[0], &image, sizeof (int32_t));
292 image = buf[1];
293 memcpy (&d128.bytes[4], &image, sizeof (int32_t));
294 image = buf[2];
295 memcpy (&d128.bytes[8], &image, sizeof (int32_t));
296 image = buf[3];
297 memcpy (&d128.bytes[12], &image, sizeof (int32_t));
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298 }
299 else
300 {
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301 image = buf[3];
302 memcpy (&d128.bytes[0], &image, sizeof (int32_t));
303 image = buf[2];
304 memcpy (&d128.bytes[4], &image, sizeof (int32_t));
305 image = buf[1];
306 memcpy (&d128.bytes[8], &image, sizeof (int32_t));
307 image = buf[0];
308 memcpy (&d128.bytes[12], &image, sizeof (int32_t));
bc6d4c3f 309 }
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310
311 decimal128ToNumber (&d128, &dn);
b8698a0f 312 decimal_from_decnumber (r, &dn, &set);
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313}
314
315/* Helper function to convert from a binary real internal
316 representation. */
317
318static void
319decimal_to_binary (REAL_VALUE_TYPE *to, const REAL_VALUE_TYPE *from,
320 enum machine_mode mode)
321{
322 char string[256];
5f754896 323 const decimal128 *const d128 = (const decimal128 *) from->sig;
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324
325 decimal128ToString (d128, string);
326 real_from_string3 (to, string, mode);
327}
328
329
330/* Helper function to convert from a binary real internal
331 representation. */
332
333static void
334decimal_from_binary (REAL_VALUE_TYPE *to, const REAL_VALUE_TYPE *from)
335{
336 char string[256];
337
338 /* We convert to string, then to decNumber then to decimal128. */
339 real_to_decimal (string, from, sizeof (string), 0, 1);
340 decimal_real_from_string (to, string);
341}
342
343/* Helper function to real.c:do_compare() to handle decimal internal
6416ae7f 344 representation including when one of the operands is still in the
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345 binary internal representation. */
346
347int
348decimal_do_compare (const REAL_VALUE_TYPE *a, const REAL_VALUE_TYPE *b,
349 int nan_result)
350{
351 decContext set;
352 decNumber dn, dn2, dn3;
353 REAL_VALUE_TYPE a1, b1;
354
355 /* If either operand is non-decimal, create temporary versions. */
356 if (!a->decimal)
357 {
358 decimal_from_binary (&a1, a);
359 a = &a1;
360 }
361 if (!b->decimal)
362 {
363 decimal_from_binary (&b1, b);
364 b = &b1;
365 }
b8698a0f 366
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367 /* Convert into decNumber form for comparison operation. */
368 decContextDefault (&set, DEC_INIT_DECIMAL128);
b8698a0f 369 set.traps = 0;
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370 decimal128ToNumber ((const decimal128 *) a->sig, &dn2);
371 decimal128ToNumber ((const decimal128 *) b->sig, &dn3);
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372
373 /* Finally, do the comparison. */
374 decNumberCompare (&dn, &dn2, &dn3, &set);
375
376 /* Return the comparison result. */
377 if (decNumberIsNaN (&dn))
378 return nan_result;
379 else if (decNumberIsZero (&dn))
380 return 0;
381 else if (decNumberIsNegative (&dn))
382 return -1;
b8698a0f 383 else
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384 return 1;
385}
386
387/* Helper to round_for_format, handling decimal float types. */
388
389void
390decimal_round_for_format (const struct real_format *fmt, REAL_VALUE_TYPE *r)
391{
392 decNumber dn;
393 decContext set;
394
395 /* Real encoding occurs later. */
396 if (r->cl != rvc_normal)
397 return;
398
399 decContextDefault (&set, DEC_INIT_DECIMAL128);
400 set.traps = 0;
401 decimal128ToNumber ((decimal128 *) r->sig, &dn);
402
403 if (fmt == &decimal_quad_format)
404 {
405 /* The internal format is already in this format. */
406 return;
407 }
408 else if (fmt == &decimal_single_format)
409 {
410 decimal32 d32;
411 decContextDefault (&set, DEC_INIT_DECIMAL32);
412 set.traps = 0;
413
414 decimal32FromNumber (&d32, &dn, &set);
415 decimal32ToNumber (&d32, &dn);
416 }
417 else if (fmt == &decimal_double_format)
418 {
419 decimal64 d64;
420 decContextDefault (&set, DEC_INIT_DECIMAL64);
421 set.traps = 0;
422
423 decimal64FromNumber (&d64, &dn, &set);
424 decimal64ToNumber (&d64, &dn);
425 }
426 else
427 gcc_unreachable ();
428
429 decimal_from_decnumber (r, &dn, &set);
430}
431
432/* Extend or truncate to a new mode. Handles conversions between
433 binary and decimal types. */
434
435void
b8698a0f 436decimal_real_convert (REAL_VALUE_TYPE *r, enum machine_mode mode,
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437 const REAL_VALUE_TYPE *a)
438{
439 const struct real_format *fmt = REAL_MODE_FORMAT (mode);
440
441 if (a->decimal && fmt->b == 10)
442 return;
443 if (a->decimal)
444 decimal_to_binary (r, a, mode);
445 else
446 decimal_from_binary (r, a);
447}
448
449/* Render R_ORIG as a decimal floating point constant. Emit DIGITS
450 significant digits in the result, bounded by BUF_SIZE. If DIGITS
451 is 0, choose the maximum for the representation. If
452 CROP_TRAILING_ZEROS, strip trailing zeros. Currently, not honoring
453 DIGITS or CROP_TRAILING_ZEROS. */
454
83f676b3
RS
455void
456decimal_real_to_decimal (char *str, const REAL_VALUE_TYPE *r_orig,
457 size_t buf_size,
458 size_t digits ATTRIBUTE_UNUSED,
459 int crop_trailing_zeros ATTRIBUTE_UNUSED)
909e2256 460{
5f754896 461 const decimal128 *const d128 = (const decimal128*) r_orig->sig;
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462
463 /* decimal128ToString requires space for at least 24 characters;
464 Require two more for suffix. */
465 gcc_assert (buf_size >= 24);
466 decimal128ToString (d128, str);
467}
468
469static bool
470decimal_do_add (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *op0,
471 const REAL_VALUE_TYPE *op1, int subtract_p)
472{
473 decNumber dn;
474 decContext set;
475 decNumber dn2, dn3;
476
477 decimal_to_decnumber (op0, &dn2);
478 decimal_to_decnumber (op1, &dn3);
479
480 decContextDefault (&set, DEC_INIT_DECIMAL128);
481 set.traps = 0;
482
483 if (subtract_p)
484 decNumberSubtract (&dn, &dn2, &dn3, &set);
b8698a0f 485 else
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486 decNumberAdd (&dn, &dn2, &dn3, &set);
487
488 decimal_from_decnumber (r, &dn, &set);
489
490 /* Return true, if inexact. */
491 return (set.status & DEC_Inexact);
492}
493
494/* Compute R = OP0 * OP1. */
495
496static bool
497decimal_do_multiply (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *op0,
498 const REAL_VALUE_TYPE *op1)
499{
500 decContext set;
501 decNumber dn, dn2, dn3;
502
503 decimal_to_decnumber (op0, &dn2);
504 decimal_to_decnumber (op1, &dn3);
505
506 decContextDefault (&set, DEC_INIT_DECIMAL128);
507 set.traps = 0;
508
509 decNumberMultiply (&dn, &dn2, &dn3, &set);
510 decimal_from_decnumber (r, &dn, &set);
511
512 /* Return true, if inexact. */
513 return (set.status & DEC_Inexact);
514}
515
516/* Compute R = OP0 / OP1. */
517
518static bool
519decimal_do_divide (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *op0,
520 const REAL_VALUE_TYPE *op1)
521{
522 decContext set;
523 decNumber dn, dn2, dn3;
524
525 decimal_to_decnumber (op0, &dn2);
526 decimal_to_decnumber (op1, &dn3);
527
528 decContextDefault (&set, DEC_INIT_DECIMAL128);
529 set.traps = 0;
530
531 decNumberDivide (&dn, &dn2, &dn3, &set);
532 decimal_from_decnumber (r, &dn, &set);
533
534 /* Return true, if inexact. */
535 return (set.status & DEC_Inexact);
536}
537
538/* Set R to A truncated to an integral value toward zero (decimal
539 floating point). */
540
541void
542decimal_do_fix_trunc (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *a)
543{
544 decNumber dn, dn2;
545 decContext set;
546
547 decContextDefault (&set, DEC_INIT_DECIMAL128);
548 set.traps = 0;
549 set.round = DEC_ROUND_DOWN;
5f754896 550 decimal128ToNumber ((const decimal128 *) a->sig, &dn2);
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551
552 decNumberToIntegralValue (&dn, &dn2, &set);
553 decimal_from_decnumber (r, &dn, &set);
554}
555
556/* Render decimal float value R as an integer. */
557
558HOST_WIDE_INT
559decimal_real_to_integer (const REAL_VALUE_TYPE *r)
560{
561 decContext set;
562 decNumber dn, dn2, dn3;
563 REAL_VALUE_TYPE to;
564 char string[256];
565
566 decContextDefault (&set, DEC_INIT_DECIMAL128);
567 set.traps = 0;
568 set.round = DEC_ROUND_DOWN;
5f754896 569 decimal128ToNumber ((const decimal128 *) r->sig, &dn);
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570
571 decNumberToIntegralValue (&dn2, &dn, &set);
572 decNumberZero (&dn3);
573 decNumberRescale (&dn, &dn2, &dn3, &set);
574
575 /* Convert to REAL_VALUE_TYPE and call appropriate conversion
576 function. */
577 decNumberToString (&dn, string);
578 real_from_string (&to, string);
579 return real_to_integer (&to);
580}
581
582/* Likewise, but to an integer pair, HI+LOW. */
583
584void
585decimal_real_to_integer2 (HOST_WIDE_INT *plow, HOST_WIDE_INT *phigh,
586 const REAL_VALUE_TYPE *r)
587{
588 decContext set;
589 decNumber dn, dn2, dn3;
590 REAL_VALUE_TYPE to;
591 char string[256];
592
593 decContextDefault (&set, DEC_INIT_DECIMAL128);
594 set.traps = 0;
595 set.round = DEC_ROUND_DOWN;
5f754896 596 decimal128ToNumber ((const decimal128 *) r->sig, &dn);
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597
598 decNumberToIntegralValue (&dn2, &dn, &set);
599 decNumberZero (&dn3);
600 decNumberRescale (&dn, &dn2, &dn3, &set);
601
fa10beec 602 /* Convert to REAL_VALUE_TYPE and call appropriate conversion
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603 function. */
604 decNumberToString (&dn, string);
605 real_from_string (&to, string);
606 real_to_integer2 (plow, phigh, &to);
607}
608
0b59f49d
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609/* Perform the decimal floating point operation described by CODE.
610 For a unary operation, OP1 will be NULL. This function returns
611 true if the result may be inexact due to loss of precision. */
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612
613bool
0b59f49d 614decimal_real_arithmetic (REAL_VALUE_TYPE *r, enum tree_code code,
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615 const REAL_VALUE_TYPE *op0,
616 const REAL_VALUE_TYPE *op1)
617{
0b59f49d 618 REAL_VALUE_TYPE a, b;
909e2256 619
0b59f49d 620 /* If either operand is non-decimal, create temporaries. */
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621 if (!op0->decimal)
622 {
0b59f49d
BE
623 decimal_from_binary (&a, op0);
624 op0 = &a;
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625 }
626 if (op1 && !op1->decimal)
627 {
0b59f49d
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628 decimal_from_binary (&b, op1);
629 op1 = &b;
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630 }
631
632 switch (code)
633 {
634 case PLUS_EXPR:
0b59f49d 635 return decimal_do_add (r, op0, op1, 0);
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636
637 case MINUS_EXPR:
0b59f49d 638 return decimal_do_add (r, op0, op1, 1);
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639
640 case MULT_EXPR:
0b59f49d 641 return decimal_do_multiply (r, op0, op1);
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642
643 case RDIV_EXPR:
0b59f49d 644 return decimal_do_divide (r, op0, op1);
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645
646 case MIN_EXPR:
647 if (op1->cl == rvc_nan)
648 *r = *op1;
649 else if (real_compare (UNLT_EXPR, op0, op1))
650 *r = *op0;
651 else
652 *r = *op1;
0b59f49d 653 return false;
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654
655 case MAX_EXPR:
656 if (op1->cl == rvc_nan)
657 *r = *op1;
658 else if (real_compare (LT_EXPR, op0, op1))
659 *r = *op1;
660 else
661 *r = *op0;
0b59f49d 662 return false;
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663
664 case NEGATE_EXPR:
665 {
909e2256 666 *r = *op0;
79b87c74
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667 /* Flip sign bit. */
668 decimal128FlipSign ((decimal128 *) r->sig);
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669 /* Keep sign field in sync. */
670 r->sign ^= 1;
671 }
0b59f49d 672 return false;
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673
674 case ABS_EXPR:
675 {
909e2256 676 *r = *op0;
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677 /* Clear sign bit. */
678 decimal128ClearSign ((decimal128 *) r->sig);
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679 /* Keep sign field in sync. */
680 r->sign = 0;
681 }
0b59f49d 682 return false;
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683
684 case FIX_TRUNC_EXPR:
685 decimal_do_fix_trunc (r, op0);
0b59f49d 686 return false;
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687
688 default:
689 gcc_unreachable ();
690 }
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691}
692
693/* Fills R with the largest finite value representable in mode MODE.
694 If SIGN is nonzero, R is set to the most negative finite value. */
695
696void
697decimal_real_maxval (REAL_VALUE_TYPE *r, int sign, enum machine_mode mode)
b8698a0f 698{
5f754896 699 const char *max;
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700
701 switch (mode)
702 {
703 case SDmode:
5f754896 704 max = "9.999999E96";
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705 break;
706 case DDmode:
5f754896 707 max = "9.999999999999999E384";
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708 break;
709 case TDmode:
5f754896 710 max = "9.999999999999999999999999999999999E6144";
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711 break;
712 default:
713 gcc_unreachable ();
714 }
715
716 decimal_real_from_string (r, max);
717 if (sign)
79b87c74 718 decimal128SetSign ((decimal128 *) r->sig, 1);
909e2256 719}