1 /* Decimal floating point support.
2 Copyright (C) 2005-2014 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"
29 /* The order of the following headers is important for making sure
30 decNumber structure is large enough to hold decimal128 digits. */
32 #include "decimal128.h"
33 #include "decimal128Local.h"
34 #include "decimal64.h"
35 #include "decimal32.h"
36 #include "decNumber.h"
38 #ifndef WORDS_BIGENDIAN
39 #define WORDS_BIGENDIAN 0
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. */
47 decimal_from_decnumber (REAL_VALUE_TYPE
*r
, decNumber
*dn
, decContext
*context
)
49 memset (r
, 0, sizeof (REAL_VALUE_TYPE
));
52 if (decNumberIsNaN (dn
))
54 if (decNumberIsInfinite (dn
))
56 if (context
->status
& DEC_Overflow
)
58 if (decNumberIsNegative (dn
))
62 if (r
->cl
!= rvc_normal
)
65 decContextDefault (context
, DEC_INIT_DECIMAL128
);
68 decimal128FromNumber ((decimal128
*) r
->sig
, dn
, context
);
71 /* Create decimal encoded R from string S. */
74 decimal_real_from_string (REAL_VALUE_TYPE
*r
, const char *s
)
78 decContextDefault (&set
, DEC_INIT_DECIMAL128
);
81 decNumberFromString (&dn
, s
, &set
);
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
);
89 /* Initialize a decNumber from a REAL_VALUE_TYPE. */
92 decimal_to_decnumber (const REAL_VALUE_TYPE
*r
, decNumber
*dn
)
95 decContextDefault (&set
, DEC_INIT_DECIMAL128
);
104 decNumberFromString (dn
, "Infinity", &set
);
108 decNumberFromString (dn
, "snan", &set
);
110 decNumberFromString (dn
, "nan", &set
);
115 /* dconst{1,2,m1,half} are used in various places in
116 the middle-end and optimizers, allow them here
117 as an exception by converting them to decimal. */
118 if (memcmp (r
, &dconst1
, sizeof (*r
)) == 0)
120 decNumberFromString (dn
, "1", &set
);
123 if (memcmp (r
, &dconst2
, sizeof (*r
)) == 0)
125 decNumberFromString (dn
, "2", &set
);
128 if (memcmp (r
, &dconstm1
, sizeof (*r
)) == 0)
130 decNumberFromString (dn
, "-1", &set
);
133 if (memcmp (r
, &dconsthalf
, sizeof (*r
)) == 0)
135 decNumberFromString (dn
, "0.5", &set
);
140 decimal128ToNumber ((const decimal128
*) r
->sig
, dn
);
146 /* Fix up sign bit. */
147 if (r
->sign
!= decNumberIsNegative (dn
))
151 /* Encode a real into an IEEE 754 decimal32 type. */
154 encode_decimal32 (const struct real_format
*fmt ATTRIBUTE_UNUSED
,
155 long *buf
, const REAL_VALUE_TYPE
*r
)
162 decContextDefault (&set
, DEC_INIT_DECIMAL128
);
165 decimal_to_decnumber (r
, &dn
);
166 decimal32FromNumber (&d32
, &dn
, &set
);
168 memcpy (&image
, d32
.bytes
, sizeof (int32_t));
172 /* Decode an IEEE 754 decimal32 type into a real. */
175 decode_decimal32 (const struct real_format
*fmt ATTRIBUTE_UNUSED
,
176 REAL_VALUE_TYPE
*r
, const long *buf
)
183 decContextDefault (&set
, DEC_INIT_DECIMAL128
);
187 memcpy (&d32
.bytes
, &image
, sizeof (int32_t));
189 decimal32ToNumber (&d32
, &dn
);
190 decimal_from_decnumber (r
, &dn
, &set
);
193 /* Encode a real into an IEEE 754 decimal64 type. */
196 encode_decimal64 (const struct real_format
*fmt ATTRIBUTE_UNUSED
,
197 long *buf
, const REAL_VALUE_TYPE
*r
)
204 decContextDefault (&set
, DEC_INIT_DECIMAL128
);
207 decimal_to_decnumber (r
, &dn
);
208 decimal64FromNumber (&d64
, &dn
, &set
);
210 if (WORDS_BIGENDIAN
== FLOAT_WORDS_BIG_ENDIAN
)
212 memcpy (&image
, &d64
.bytes
[0], sizeof (int32_t));
214 memcpy (&image
, &d64
.bytes
[4], sizeof (int32_t));
219 memcpy (&image
, &d64
.bytes
[4], sizeof (int32_t));
221 memcpy (&image
, &d64
.bytes
[0], sizeof (int32_t));
226 /* Decode an IEEE 754 decimal64 type into a real. */
229 decode_decimal64 (const struct real_format
*fmt ATTRIBUTE_UNUSED
,
230 REAL_VALUE_TYPE
*r
, const long *buf
)
237 decContextDefault (&set
, DEC_INIT_DECIMAL128
);
240 if (WORDS_BIGENDIAN
== FLOAT_WORDS_BIG_ENDIAN
)
243 memcpy (&d64
.bytes
[0], &image
, sizeof (int32_t));
245 memcpy (&d64
.bytes
[4], &image
, sizeof (int32_t));
250 memcpy (&d64
.bytes
[0], &image
, sizeof (int32_t));
252 memcpy (&d64
.bytes
[4], &image
, sizeof (int32_t));
255 decimal64ToNumber (&d64
, &dn
);
256 decimal_from_decnumber (r
, &dn
, &set
);
259 /* Encode a real into an IEEE 754 decimal128 type. */
262 encode_decimal128 (const struct real_format
*fmt ATTRIBUTE_UNUSED
,
263 long *buf
, const REAL_VALUE_TYPE
*r
)
270 decContextDefault (&set
, DEC_INIT_DECIMAL128
);
273 decimal_to_decnumber (r
, &dn
);
274 decimal128FromNumber (&d128
, &dn
, &set
);
276 if (WORDS_BIGENDIAN
== FLOAT_WORDS_BIG_ENDIAN
)
278 memcpy (&image
, &d128
.bytes
[0], sizeof (int32_t));
280 memcpy (&image
, &d128
.bytes
[4], sizeof (int32_t));
282 memcpy (&image
, &d128
.bytes
[8], sizeof (int32_t));
284 memcpy (&image
, &d128
.bytes
[12], sizeof (int32_t));
289 memcpy (&image
, &d128
.bytes
[12], sizeof (int32_t));
291 memcpy (&image
, &d128
.bytes
[8], sizeof (int32_t));
293 memcpy (&image
, &d128
.bytes
[4], sizeof (int32_t));
295 memcpy (&image
, &d128
.bytes
[0], sizeof (int32_t));
300 /* Decode an IEEE 754 decimal128 type into a real. */
303 decode_decimal128 (const struct real_format
*fmt ATTRIBUTE_UNUSED
,
304 REAL_VALUE_TYPE
*r
, const long *buf
)
311 decContextDefault (&set
, DEC_INIT_DECIMAL128
);
314 if (WORDS_BIGENDIAN
== FLOAT_WORDS_BIG_ENDIAN
)
317 memcpy (&d128
.bytes
[0], &image
, sizeof (int32_t));
319 memcpy (&d128
.bytes
[4], &image
, sizeof (int32_t));
321 memcpy (&d128
.bytes
[8], &image
, sizeof (int32_t));
323 memcpy (&d128
.bytes
[12], &image
, sizeof (int32_t));
328 memcpy (&d128
.bytes
[0], &image
, sizeof (int32_t));
330 memcpy (&d128
.bytes
[4], &image
, sizeof (int32_t));
332 memcpy (&d128
.bytes
[8], &image
, sizeof (int32_t));
334 memcpy (&d128
.bytes
[12], &image
, sizeof (int32_t));
337 decimal128ToNumber (&d128
, &dn
);
338 decimal_from_decnumber (r
, &dn
, &set
);
341 /* Helper function to convert from a binary real internal
345 decimal_to_binary (REAL_VALUE_TYPE
*to
, const REAL_VALUE_TYPE
*from
,
346 enum machine_mode mode
)
349 const decimal128
*const d128
= (const decimal128
*) from
->sig
;
351 decimal128ToString (d128
, string
);
352 real_from_string3 (to
, string
, mode
);
356 /* Helper function to convert from a binary real internal
360 decimal_from_binary (REAL_VALUE_TYPE
*to
, const REAL_VALUE_TYPE
*from
)
364 /* We convert to string, then to decNumber then to decimal128. */
365 real_to_decimal (string
, from
, sizeof (string
), 0, 1);
366 decimal_real_from_string (to
, string
);
369 /* Helper function to real.c:do_compare() to handle decimal internal
370 representation including when one of the operands is still in the
371 binary internal representation. */
374 decimal_do_compare (const REAL_VALUE_TYPE
*a
, const REAL_VALUE_TYPE
*b
,
378 decNumber dn
, dn2
, dn3
;
379 REAL_VALUE_TYPE a1
, b1
;
381 /* If either operand is non-decimal, create temporary versions. */
384 decimal_from_binary (&a1
, a
);
389 decimal_from_binary (&b1
, b
);
393 /* Convert into decNumber form for comparison operation. */
394 decContextDefault (&set
, DEC_INIT_DECIMAL128
);
396 decimal128ToNumber ((const decimal128
*) a
->sig
, &dn2
);
397 decimal128ToNumber ((const decimal128
*) b
->sig
, &dn3
);
399 /* Finally, do the comparison. */
400 decNumberCompare (&dn
, &dn2
, &dn3
, &set
);
402 /* Return the comparison result. */
403 if (decNumberIsNaN (&dn
))
405 else if (decNumberIsZero (&dn
))
407 else if (decNumberIsNegative (&dn
))
413 /* Helper to round_for_format, handling decimal float types. */
416 decimal_round_for_format (const struct real_format
*fmt
, REAL_VALUE_TYPE
*r
)
421 /* Real encoding occurs later. */
422 if (r
->cl
!= rvc_normal
)
425 decContextDefault (&set
, DEC_INIT_DECIMAL128
);
427 decimal128ToNumber ((decimal128
*) r
->sig
, &dn
);
429 if (fmt
== &decimal_quad_format
)
431 /* The internal format is already in this format. */
434 else if (fmt
== &decimal_single_format
)
437 decContextDefault (&set
, DEC_INIT_DECIMAL32
);
440 decimal32FromNumber (&d32
, &dn
, &set
);
441 decimal32ToNumber (&d32
, &dn
);
443 else if (fmt
== &decimal_double_format
)
446 decContextDefault (&set
, DEC_INIT_DECIMAL64
);
449 decimal64FromNumber (&d64
, &dn
, &set
);
450 decimal64ToNumber (&d64
, &dn
);
455 decimal_from_decnumber (r
, &dn
, &set
);
458 /* Extend or truncate to a new mode. Handles conversions between
459 binary and decimal types. */
462 decimal_real_convert (REAL_VALUE_TYPE
*r
, enum machine_mode mode
,
463 const REAL_VALUE_TYPE
*a
)
465 const struct real_format
*fmt
= REAL_MODE_FORMAT (mode
);
467 if (a
->decimal
&& fmt
->b
== 10)
470 decimal_to_binary (r
, a
, mode
);
472 decimal_from_binary (r
, a
);
475 /* Render R_ORIG as a decimal floating point constant. Emit DIGITS
476 significant digits in the result, bounded by BUF_SIZE. If DIGITS
477 is 0, choose the maximum for the representation. If
478 CROP_TRAILING_ZEROS, strip trailing zeros. Currently, not honoring
479 DIGITS or CROP_TRAILING_ZEROS. */
482 decimal_real_to_decimal (char *str
, const REAL_VALUE_TYPE
*r_orig
,
484 size_t digits ATTRIBUTE_UNUSED
,
485 int crop_trailing_zeros ATTRIBUTE_UNUSED
)
487 const decimal128
*const d128
= (const decimal128
*) r_orig
->sig
;
489 /* decimal128ToString requires space for at least 24 characters;
490 Require two more for suffix. */
491 gcc_assert (buf_size
>= 24);
492 decimal128ToString (d128
, str
);
496 decimal_do_add (REAL_VALUE_TYPE
*r
, const REAL_VALUE_TYPE
*op0
,
497 const REAL_VALUE_TYPE
*op1
, int subtract_p
)
503 decimal_to_decnumber (op0
, &dn2
);
504 decimal_to_decnumber (op1
, &dn3
);
506 decContextDefault (&set
, DEC_INIT_DECIMAL128
);
510 decNumberSubtract (&dn
, &dn2
, &dn3
, &set
);
512 decNumberAdd (&dn
, &dn2
, &dn3
, &set
);
514 decimal_from_decnumber (r
, &dn
, &set
);
516 /* Return true, if inexact. */
517 return (set
.status
& DEC_Inexact
);
520 /* Compute R = OP0 * OP1. */
523 decimal_do_multiply (REAL_VALUE_TYPE
*r
, const REAL_VALUE_TYPE
*op0
,
524 const REAL_VALUE_TYPE
*op1
)
527 decNumber dn
, dn2
, dn3
;
529 decimal_to_decnumber (op0
, &dn2
);
530 decimal_to_decnumber (op1
, &dn3
);
532 decContextDefault (&set
, DEC_INIT_DECIMAL128
);
535 decNumberMultiply (&dn
, &dn2
, &dn3
, &set
);
536 decimal_from_decnumber (r
, &dn
, &set
);
538 /* Return true, if inexact. */
539 return (set
.status
& DEC_Inexact
);
542 /* Compute R = OP0 / OP1. */
545 decimal_do_divide (REAL_VALUE_TYPE
*r
, const REAL_VALUE_TYPE
*op0
,
546 const REAL_VALUE_TYPE
*op1
)
549 decNumber dn
, dn2
, dn3
;
551 decimal_to_decnumber (op0
, &dn2
);
552 decimal_to_decnumber (op1
, &dn3
);
554 decContextDefault (&set
, DEC_INIT_DECIMAL128
);
557 decNumberDivide (&dn
, &dn2
, &dn3
, &set
);
558 decimal_from_decnumber (r
, &dn
, &set
);
560 /* Return true, if inexact. */
561 return (set
.status
& DEC_Inexact
);
564 /* Set R to A truncated to an integral value toward zero (decimal
568 decimal_do_fix_trunc (REAL_VALUE_TYPE
*r
, const REAL_VALUE_TYPE
*a
)
573 decContextDefault (&set
, DEC_INIT_DECIMAL128
);
575 set
.round
= DEC_ROUND_DOWN
;
576 decimal128ToNumber ((const decimal128
*) a
->sig
, &dn2
);
578 decNumberToIntegralValue (&dn
, &dn2
, &set
);
579 decimal_from_decnumber (r
, &dn
, &set
);
582 /* Render decimal float value R as an integer. */
585 decimal_real_to_integer (const REAL_VALUE_TYPE
*r
)
588 decNumber dn
, dn2
, dn3
;
592 decContextDefault (&set
, DEC_INIT_DECIMAL128
);
594 set
.round
= DEC_ROUND_DOWN
;
595 decimal128ToNumber ((const decimal128
*) r
->sig
, &dn
);
597 decNumberToIntegralValue (&dn2
, &dn
, &set
);
598 decNumberZero (&dn3
);
599 decNumberRescale (&dn
, &dn2
, &dn3
, &set
);
601 /* Convert to REAL_VALUE_TYPE and call appropriate conversion
603 decNumberToString (&dn
, string
);
604 real_from_string (&to
, string
);
605 return real_to_integer (&to
);
608 /* Likewise, but returns a wide_int with PRECISION. *FAIL is set if the
609 value does not fit. */
612 decimal_real_to_integer (const REAL_VALUE_TYPE
*r
, bool *fail
, int precision
)
615 decNumber dn
, dn2
, dn3
;
619 decContextDefault (&set
, DEC_INIT_DECIMAL128
);
621 set
.round
= DEC_ROUND_DOWN
;
622 decimal128ToNumber ((const decimal128
*) r
->sig
, &dn
);
624 decNumberToIntegralValue (&dn2
, &dn
, &set
);
625 decNumberZero (&dn3
);
626 decNumberRescale (&dn
, &dn2
, &dn3
, &set
);
628 /* Convert to REAL_VALUE_TYPE and call appropriate conversion
630 decNumberToString (&dn
, string
);
631 real_from_string (&to
, string
);
632 return real_to_integer (&to
, fail
, precision
);
635 /* Perform the decimal floating point operation described by CODE.
636 For a unary operation, OP1 will be NULL. This function returns
637 true if the result may be inexact due to loss of precision. */
640 decimal_real_arithmetic (REAL_VALUE_TYPE
*r
, enum tree_code code
,
641 const REAL_VALUE_TYPE
*op0
,
642 const REAL_VALUE_TYPE
*op1
)
644 REAL_VALUE_TYPE a
, b
;
646 /* If either operand is non-decimal, create temporaries. */
649 decimal_from_binary (&a
, op0
);
652 if (op1
&& !op1
->decimal
)
654 decimal_from_binary (&b
, op1
);
661 return decimal_do_add (r
, op0
, op1
, 0);
664 return decimal_do_add (r
, op0
, op1
, 1);
667 return decimal_do_multiply (r
, op0
, op1
);
670 return decimal_do_divide (r
, op0
, op1
);
673 if (op1
->cl
== rvc_nan
)
675 else if (real_compare (UNLT_EXPR
, op0
, op1
))
682 if (op1
->cl
== rvc_nan
)
684 else if (real_compare (LT_EXPR
, op0
, op1
))
694 decimal128FlipSign ((decimal128
*) r
->sig
);
695 /* Keep sign field in sync. */
703 /* Clear sign bit. */
704 decimal128ClearSign ((decimal128
*) r
->sig
);
705 /* Keep sign field in sync. */
711 decimal_do_fix_trunc (r
, op0
);
719 /* Fills R with the largest finite value representable in mode MODE.
720 If SIGN is nonzero, R is set to the most negative finite value. */
723 decimal_real_maxval (REAL_VALUE_TYPE
*r
, int sign
, enum machine_mode mode
)
733 max
= "9.999999999999999E384";
736 max
= "9.999999999999999999999999999999999E6144";
742 decimal_real_from_string (r
, max
);
744 decimal128SetSign ((decimal128
*) r
->sig
, 1);