1 /* Decimal floating point support.
2 Copyright (C) 2005-2013 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
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
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/>. */
22 #include "coretypes.h"
28 /* The order of the following headers is important for making sure
29 decNumber structure is large enough to hold decimal128 digits. */
31 #include "decimal128.h"
32 #include "decimal128Local.h"
33 #include "decimal64.h"
34 #include "decimal32.h"
35 #include "decNumber.h"
37 #ifndef WORDS_BIGENDIAN
38 #define WORDS_BIGENDIAN 0
41 /* Initialize R (a real with the decimal flag set) from DN. Can
42 utilize status passed in via CONTEXT, if a previous operation had
43 interesting status. */
46 decimal_from_decnumber (REAL_VALUE_TYPE *r, decNumber *dn, decContext *context)
48 memset (r, 0, sizeof (REAL_VALUE_TYPE));
51 if (decNumberIsNaN (dn))
53 if (decNumberIsInfinite (dn))
55 if (context->status & DEC_Overflow)
57 if (decNumberIsNegative (dn))
61 if (r->cl != rvc_normal)
64 decContextDefault (context, DEC_INIT_DECIMAL128);
67 decimal128FromNumber ((decimal128 *) r->sig, dn, context);
70 /* Create decimal encoded R from string S. */
73 decimal_real_from_string (REAL_VALUE_TYPE *r, const char *s)
77 decContextDefault (&set, DEC_INIT_DECIMAL128);
80 decNumberFromString (&dn, s, &set);
82 /* It would be more efficient to store directly in decNumber format,
83 but that is impractical from current data structure size.
84 Encoding as a decimal128 is much more compact. */
85 decimal_from_decnumber (r, &dn, &set);
88 /* Initialize a decNumber from a REAL_VALUE_TYPE. */
91 decimal_to_decnumber (const REAL_VALUE_TYPE *r, decNumber *dn)
94 decContextDefault (&set, DEC_INIT_DECIMAL128);
103 decNumberFromString (dn, "Infinity", &set);
107 decNumberFromString (dn, "snan", &set);
109 decNumberFromString (dn, "nan", &set);
114 /* dconst{1,2,m1,half} are used in various places in
115 the middle-end and optimizers, allow them here
116 as an exception by converting them to decimal. */
117 if (memcmp (r, &dconst1, sizeof (*r)) == 0)
119 decNumberFromString (dn, "1", &set);
122 if (memcmp (r, &dconst2, sizeof (*r)) == 0)
124 decNumberFromString (dn, "2", &set);
127 if (memcmp (r, &dconstm1, sizeof (*r)) == 0)
129 decNumberFromString (dn, "-1", &set);
132 if (memcmp (r, &dconsthalf, sizeof (*r)) == 0)
134 decNumberFromString (dn, "0.5", &set);
139 decimal128ToNumber ((const decimal128 *) r->sig, dn);
145 /* Fix up sign bit. */
146 if (r->sign != decNumberIsNegative (dn))
150 /* Encode a real into an IEEE 754 decimal32 type. */
153 encode_decimal32 (const struct real_format *fmt ATTRIBUTE_UNUSED,
154 long *buf, const REAL_VALUE_TYPE *r)
161 decContextDefault (&set, DEC_INIT_DECIMAL128);
164 decimal_to_decnumber (r, &dn);
165 decimal32FromNumber (&d32, &dn, &set);
167 memcpy (&image, d32.bytes, sizeof (int32_t));
171 /* Decode an IEEE 754 decimal32 type into a real. */
174 decode_decimal32 (const struct real_format *fmt ATTRIBUTE_UNUSED,
175 REAL_VALUE_TYPE *r, const long *buf)
182 decContextDefault (&set, DEC_INIT_DECIMAL128);
186 memcpy (&d32.bytes, &image, sizeof (int32_t));
188 decimal32ToNumber (&d32, &dn);
189 decimal_from_decnumber (r, &dn, &set);
192 /* Encode a real into an IEEE 754 decimal64 type. */
195 encode_decimal64 (const struct real_format *fmt ATTRIBUTE_UNUSED,
196 long *buf, const REAL_VALUE_TYPE *r)
203 decContextDefault (&set, DEC_INIT_DECIMAL128);
206 decimal_to_decnumber (r, &dn);
207 decimal64FromNumber (&d64, &dn, &set);
209 if (WORDS_BIGENDIAN == FLOAT_WORDS_BIG_ENDIAN)
211 memcpy (&image, &d64.bytes[0], sizeof (int32_t));
213 memcpy (&image, &d64.bytes[4], sizeof (int32_t));
218 memcpy (&image, &d64.bytes[4], sizeof (int32_t));
220 memcpy (&image, &d64.bytes[0], sizeof (int32_t));
225 /* Decode an IEEE 754 decimal64 type into a real. */
228 decode_decimal64 (const struct real_format *fmt ATTRIBUTE_UNUSED,
229 REAL_VALUE_TYPE *r, const long *buf)
236 decContextDefault (&set, DEC_INIT_DECIMAL128);
239 if (WORDS_BIGENDIAN == FLOAT_WORDS_BIG_ENDIAN)
242 memcpy (&d64.bytes[0], &image, sizeof (int32_t));
244 memcpy (&d64.bytes[4], &image, sizeof (int32_t));
249 memcpy (&d64.bytes[0], &image, sizeof (int32_t));
251 memcpy (&d64.bytes[4], &image, sizeof (int32_t));
254 decimal64ToNumber (&d64, &dn);
255 decimal_from_decnumber (r, &dn, &set);
258 /* Encode a real into an IEEE 754 decimal128 type. */
261 encode_decimal128 (const struct real_format *fmt ATTRIBUTE_UNUSED,
262 long *buf, const REAL_VALUE_TYPE *r)
269 decContextDefault (&set, DEC_INIT_DECIMAL128);
272 decimal_to_decnumber (r, &dn);
273 decimal128FromNumber (&d128, &dn, &set);
275 if (WORDS_BIGENDIAN == FLOAT_WORDS_BIG_ENDIAN)
277 memcpy (&image, &d128.bytes[0], sizeof (int32_t));
279 memcpy (&image, &d128.bytes[4], sizeof (int32_t));
281 memcpy (&image, &d128.bytes[8], sizeof (int32_t));
283 memcpy (&image, &d128.bytes[12], sizeof (int32_t));
288 memcpy (&image, &d128.bytes[12], sizeof (int32_t));
290 memcpy (&image, &d128.bytes[8], sizeof (int32_t));
292 memcpy (&image, &d128.bytes[4], sizeof (int32_t));
294 memcpy (&image, &d128.bytes[0], sizeof (int32_t));
299 /* Decode an IEEE 754 decimal128 type into a real. */
302 decode_decimal128 (const struct real_format *fmt ATTRIBUTE_UNUSED,
303 REAL_VALUE_TYPE *r, const long *buf)
310 decContextDefault (&set, DEC_INIT_DECIMAL128);
313 if (WORDS_BIGENDIAN == FLOAT_WORDS_BIG_ENDIAN)
316 memcpy (&d128.bytes[0], &image, sizeof (int32_t));
318 memcpy (&d128.bytes[4], &image, sizeof (int32_t));
320 memcpy (&d128.bytes[8], &image, sizeof (int32_t));
322 memcpy (&d128.bytes[12], &image, sizeof (int32_t));
327 memcpy (&d128.bytes[0], &image, sizeof (int32_t));
329 memcpy (&d128.bytes[4], &image, sizeof (int32_t));
331 memcpy (&d128.bytes[8], &image, sizeof (int32_t));
333 memcpy (&d128.bytes[12], &image, sizeof (int32_t));
336 decimal128ToNumber (&d128, &dn);
337 decimal_from_decnumber (r, &dn, &set);
340 /* Helper function to convert from a binary real internal
344 decimal_to_binary (REAL_VALUE_TYPE *to, const REAL_VALUE_TYPE *from,
345 enum machine_mode mode)
348 const decimal128 *const d128 = (const decimal128 *) from->sig;
350 decimal128ToString (d128, string);
351 real_from_string3 (to, string, mode);
355 /* Helper function to convert from a binary real internal
359 decimal_from_binary (REAL_VALUE_TYPE *to, const REAL_VALUE_TYPE *from)
363 /* We convert to string, then to decNumber then to decimal128. */
364 real_to_decimal (string, from, sizeof (string), 0, 1);
365 decimal_real_from_string (to, string);
368 /* Helper function to real.c:do_compare() to handle decimal internal
369 representation including when one of the operands is still in the
370 binary internal representation. */
373 decimal_do_compare (const REAL_VALUE_TYPE *a, const REAL_VALUE_TYPE *b,
377 decNumber dn, dn2, dn3;
378 REAL_VALUE_TYPE a1, b1;
380 /* If either operand is non-decimal, create temporary versions. */
383 decimal_from_binary (&a1, a);
388 decimal_from_binary (&b1, b);
392 /* Convert into decNumber form for comparison operation. */
393 decContextDefault (&set, DEC_INIT_DECIMAL128);
395 decimal128ToNumber ((const decimal128 *) a->sig, &dn2);
396 decimal128ToNumber ((const decimal128 *) b->sig, &dn3);
398 /* Finally, do the comparison. */
399 decNumberCompare (&dn, &dn2, &dn3, &set);
401 /* Return the comparison result. */
402 if (decNumberIsNaN (&dn))
404 else if (decNumberIsZero (&dn))
406 else if (decNumberIsNegative (&dn))
412 /* Helper to round_for_format, handling decimal float types. */
415 decimal_round_for_format (const struct real_format *fmt, REAL_VALUE_TYPE *r)
420 /* Real encoding occurs later. */
421 if (r->cl != rvc_normal)
424 decContextDefault (&set, DEC_INIT_DECIMAL128);
426 decimal128ToNumber ((decimal128 *) r->sig, &dn);
428 if (fmt == &decimal_quad_format)
430 /* The internal format is already in this format. */
433 else if (fmt == &decimal_single_format)
436 decContextDefault (&set, DEC_INIT_DECIMAL32);
439 decimal32FromNumber (&d32, &dn, &set);
440 decimal32ToNumber (&d32, &dn);
442 else if (fmt == &decimal_double_format)
445 decContextDefault (&set, DEC_INIT_DECIMAL64);
448 decimal64FromNumber (&d64, &dn, &set);
449 decimal64ToNumber (&d64, &dn);
454 decimal_from_decnumber (r, &dn, &set);
457 /* Extend or truncate to a new mode. Handles conversions between
458 binary and decimal types. */
461 decimal_real_convert (REAL_VALUE_TYPE *r, enum machine_mode mode,
462 const REAL_VALUE_TYPE *a)
464 const struct real_format *fmt = REAL_MODE_FORMAT (mode);
466 if (a->decimal && fmt->b == 10)
469 decimal_to_binary (r, a, mode);
471 decimal_from_binary (r, a);
474 /* Render R_ORIG as a decimal floating point constant. Emit DIGITS
475 significant digits in the result, bounded by BUF_SIZE. If DIGITS
476 is 0, choose the maximum for the representation. If
477 CROP_TRAILING_ZEROS, strip trailing zeros. Currently, not honoring
478 DIGITS or CROP_TRAILING_ZEROS. */
481 decimal_real_to_decimal (char *str, const REAL_VALUE_TYPE *r_orig,
483 size_t digits ATTRIBUTE_UNUSED,
484 int crop_trailing_zeros ATTRIBUTE_UNUSED)
486 const decimal128 *const d128 = (const decimal128*) r_orig->sig;
488 /* decimal128ToString requires space for at least 24 characters;
489 Require two more for suffix. */
490 gcc_assert (buf_size >= 24);
491 decimal128ToString (d128, str);
495 decimal_do_add (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *op0,
496 const REAL_VALUE_TYPE *op1, int subtract_p)
502 decimal_to_decnumber (op0, &dn2);
503 decimal_to_decnumber (op1, &dn3);
505 decContextDefault (&set, DEC_INIT_DECIMAL128);
509 decNumberSubtract (&dn, &dn2, &dn3, &set);
511 decNumberAdd (&dn, &dn2, &dn3, &set);
513 decimal_from_decnumber (r, &dn, &set);
515 /* Return true, if inexact. */
516 return (set.status & DEC_Inexact);
519 /* Compute R = OP0 * OP1. */
522 decimal_do_multiply (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *op0,
523 const REAL_VALUE_TYPE *op1)
526 decNumber dn, dn2, dn3;
528 decimal_to_decnumber (op0, &dn2);
529 decimal_to_decnumber (op1, &dn3);
531 decContextDefault (&set, DEC_INIT_DECIMAL128);
534 decNumberMultiply (&dn, &dn2, &dn3, &set);
535 decimal_from_decnumber (r, &dn, &set);
537 /* Return true, if inexact. */
538 return (set.status & DEC_Inexact);
541 /* Compute R = OP0 / OP1. */
544 decimal_do_divide (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *op0,
545 const REAL_VALUE_TYPE *op1)
548 decNumber dn, dn2, dn3;
550 decimal_to_decnumber (op0, &dn2);
551 decimal_to_decnumber (op1, &dn3);
553 decContextDefault (&set, DEC_INIT_DECIMAL128);
556 decNumberDivide (&dn, &dn2, &dn3, &set);
557 decimal_from_decnumber (r, &dn, &set);
559 /* Return true, if inexact. */
560 return (set.status & DEC_Inexact);
563 /* Set R to A truncated to an integral value toward zero (decimal
567 decimal_do_fix_trunc (REAL_VALUE_TYPE *r, const REAL_VALUE_TYPE *a)
572 decContextDefault (&set, DEC_INIT_DECIMAL128);
574 set.round = DEC_ROUND_DOWN;
575 decimal128ToNumber ((const decimal128 *) a->sig, &dn2);
577 decNumberToIntegralValue (&dn, &dn2, &set);
578 decimal_from_decnumber (r, &dn, &set);
581 /* Render decimal float value R as an integer. */
584 decimal_real_to_integer (const REAL_VALUE_TYPE *r)
587 decNumber dn, dn2, dn3;
591 decContextDefault (&set, DEC_INIT_DECIMAL128);
593 set.round = DEC_ROUND_DOWN;
594 decimal128ToNumber ((const decimal128 *) r->sig, &dn);
596 decNumberToIntegralValue (&dn2, &dn, &set);
597 decNumberZero (&dn3);
598 decNumberRescale (&dn, &dn2, &dn3, &set);
600 /* Convert to REAL_VALUE_TYPE and call appropriate conversion
602 decNumberToString (&dn, string);
603 real_from_string (&to, string);
604 return real_to_integer (&to);
607 /* Likewise, but to an integer pair, HI+LOW. */
610 decimal_real_to_integer2 (HOST_WIDE_INT *plow, HOST_WIDE_INT *phigh,
611 const REAL_VALUE_TYPE *r)
614 decNumber dn, dn2, dn3;
618 decContextDefault (&set, DEC_INIT_DECIMAL128);
620 set.round = DEC_ROUND_DOWN;
621 decimal128ToNumber ((const decimal128 *) r->sig, &dn);
623 decNumberToIntegralValue (&dn2, &dn, &set);
624 decNumberZero (&dn3);
625 decNumberRescale (&dn, &dn2, &dn3, &set);
627 /* Convert to REAL_VALUE_TYPE and call appropriate conversion
629 decNumberToString (&dn, string);
630 real_from_string (&to, string);
631 real_to_integer2 (plow, phigh, &to);
634 /* Perform the decimal floating point operation described by CODE.
635 For a unary operation, OP1 will be NULL. This function returns
636 true if the result may be inexact due to loss of precision. */
639 decimal_real_arithmetic (REAL_VALUE_TYPE *r, enum tree_code code,
640 const REAL_VALUE_TYPE *op0,
641 const REAL_VALUE_TYPE *op1)
643 REAL_VALUE_TYPE a, b;
645 /* If either operand is non-decimal, create temporaries. */
648 decimal_from_binary (&a, op0);
651 if (op1 && !op1->decimal)
653 decimal_from_binary (&b, op1);
660 return decimal_do_add (r, op0, op1, 0);
663 return decimal_do_add (r, op0, op1, 1);
666 return decimal_do_multiply (r, op0, op1);
669 return decimal_do_divide (r, op0, op1);
672 if (op1->cl == rvc_nan)
674 else if (real_compare (UNLT_EXPR, op0, op1))
681 if (op1->cl == rvc_nan)
683 else if (real_compare (LT_EXPR, op0, op1))
693 decimal128FlipSign ((decimal128 *) r->sig);
694 /* Keep sign field in sync. */
702 /* Clear sign bit. */
703 decimal128ClearSign ((decimal128 *) r->sig);
704 /* Keep sign field in sync. */
710 decimal_do_fix_trunc (r, op0);
718 /* Fills R with the largest finite value representable in mode MODE.
719 If SIGN is nonzero, R is set to the most negative finite value. */
722 decimal_real_maxval (REAL_VALUE_TYPE *r, int sign, enum machine_mode mode)
732 max = "9.999999999999999E384";
735 max = "9.999999999999999999999999999999999E6144";
741 decimal_real_from_string (r, max);
743 decimal128SetSign ((decimal128 *) r->sig, 1);