1 /* Decimal floating point support.
2 Copyright (C) 2005-2021 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"
27 /* The order of the following headers is important for making sure
28 decNumber structure is large enough to hold decimal128 digits. */
30 #include "decimal128.h"
31 #include "decimal64.h"
32 #include "decimal32.h"
34 #ifndef WORDS_BIGENDIAN
35 #define WORDS_BIGENDIAN 0
38 /* Initialize R (a real with the decimal flag set) from DN. Can
39 utilize status passed in via CONTEXT, if a previous operation had
40 interesting status. */
43 decimal_from_decnumber (REAL_VALUE_TYPE
*r
, decNumber
*dn
, decContext
*context
)
45 memset (r
, 0, sizeof (REAL_VALUE_TYPE
));
48 if (decNumberIsNaN (dn
))
50 if (decNumberIsInfinite (dn
))
52 if (context
->status
& DEC_Overflow
)
54 if (decNumberIsNegative (dn
))
58 if (r
->cl
!= rvc_normal
)
61 decContextDefault (context
, DEC_INIT_DECIMAL128
);
64 decimal128FromNumber ((decimal128
*) r
->sig
, dn
, context
);
67 /* Create decimal encoded R from string S. */
70 decimal_real_from_string (REAL_VALUE_TYPE
*r
, const char *s
)
74 decContextDefault (&set
, DEC_INIT_DECIMAL128
);
77 decNumberFromString (&dn
, s
, &set
);
79 /* It would be more efficient to store directly in decNumber format,
80 but that is impractical from current data structure size.
81 Encoding as a decimal128 is much more compact. */
82 decimal_from_decnumber (r
, &dn
, &set
);
85 /* Initialize a decNumber from a REAL_VALUE_TYPE. */
88 decimal_to_decnumber (const REAL_VALUE_TYPE
*r
, decNumber
*dn
)
91 decContextDefault (&set
, DEC_INIT_DECIMAL128
);
100 decNumberFromString (dn
, "Infinity", &set
);
104 decNumberFromString (dn
, "snan", &set
);
106 decNumberFromString (dn
, "nan", &set
);
111 /* dconst{1,2,m1,half} are used in various places in
112 the middle-end and optimizers, allow them here
113 as an exception by converting them to decimal. */
114 if (memcmp (r
, &dconst1
, sizeof (*r
)) == 0)
116 decNumberFromString (dn
, "1", &set
);
119 if (memcmp (r
, &dconst2
, sizeof (*r
)) == 0)
121 decNumberFromString (dn
, "2", &set
);
124 if (memcmp (r
, &dconstm1
, sizeof (*r
)) == 0)
126 decNumberFromString (dn
, "-1", &set
);
129 if (memcmp (r
, &dconsthalf
, sizeof (*r
)) == 0)
131 decNumberFromString (dn
, "0.5", &set
);
136 decimal128ToNumber ((const decimal128
*) r
->sig
, dn
);
142 /* Fix up sign bit. */
143 if (r
->sign
!= decNumberIsNegative (dn
))
147 /* Encode a real into an IEEE 754 decimal32 type. */
150 encode_decimal32 (const struct real_format
*fmt ATTRIBUTE_UNUSED
,
151 long *buf
, const REAL_VALUE_TYPE
*r
)
158 decContextDefault (&set
, DEC_INIT_DECIMAL128
);
161 decimal_to_decnumber (r
, &dn
);
162 decimal32FromNumber (&d32
, &dn
, &set
);
164 memcpy (&image
, d32
.bytes
, sizeof (int32_t));
168 /* Decode an IEEE 754 decimal32 type into a real. */
171 decode_decimal32 (const struct real_format
*fmt ATTRIBUTE_UNUSED
,
172 REAL_VALUE_TYPE
*r
, const long *buf
)
179 decContextDefault (&set
, DEC_INIT_DECIMAL128
);
183 memcpy (&d32
.bytes
, &image
, sizeof (int32_t));
185 decimal32ToNumber (&d32
, &dn
);
186 decimal_from_decnumber (r
, &dn
, &set
);
189 /* Encode a real into an IEEE 754 decimal64 type. */
192 encode_decimal64 (const struct real_format
*fmt ATTRIBUTE_UNUSED
,
193 long *buf
, const REAL_VALUE_TYPE
*r
)
200 decContextDefault (&set
, DEC_INIT_DECIMAL128
);
203 decimal_to_decnumber (r
, &dn
);
204 decimal64FromNumber (&d64
, &dn
, &set
);
206 if (WORDS_BIGENDIAN
== FLOAT_WORDS_BIG_ENDIAN
)
208 memcpy (&image
, &d64
.bytes
[0], sizeof (int32_t));
210 memcpy (&image
, &d64
.bytes
[4], sizeof (int32_t));
215 memcpy (&image
, &d64
.bytes
[4], sizeof (int32_t));
217 memcpy (&image
, &d64
.bytes
[0], sizeof (int32_t));
222 /* Decode an IEEE 754 decimal64 type into a real. */
225 decode_decimal64 (const struct real_format
*fmt ATTRIBUTE_UNUSED
,
226 REAL_VALUE_TYPE
*r
, const long *buf
)
233 decContextDefault (&set
, DEC_INIT_DECIMAL128
);
236 if (WORDS_BIGENDIAN
== FLOAT_WORDS_BIG_ENDIAN
)
239 memcpy (&d64
.bytes
[0], &image
, sizeof (int32_t));
241 memcpy (&d64
.bytes
[4], &image
, sizeof (int32_t));
246 memcpy (&d64
.bytes
[0], &image
, sizeof (int32_t));
248 memcpy (&d64
.bytes
[4], &image
, sizeof (int32_t));
251 decimal64ToNumber (&d64
, &dn
);
252 decimal_from_decnumber (r
, &dn
, &set
);
255 /* Encode a real into an IEEE 754 decimal128 type. */
258 encode_decimal128 (const struct real_format
*fmt ATTRIBUTE_UNUSED
,
259 long *buf
, const REAL_VALUE_TYPE
*r
)
266 decContextDefault (&set
, DEC_INIT_DECIMAL128
);
269 decimal_to_decnumber (r
, &dn
);
270 decimal128FromNumber (&d128
, &dn
, &set
);
272 if (WORDS_BIGENDIAN
== FLOAT_WORDS_BIG_ENDIAN
)
274 memcpy (&image
, &d128
.bytes
[0], sizeof (int32_t));
276 memcpy (&image
, &d128
.bytes
[4], sizeof (int32_t));
278 memcpy (&image
, &d128
.bytes
[8], sizeof (int32_t));
280 memcpy (&image
, &d128
.bytes
[12], sizeof (int32_t));
285 memcpy (&image
, &d128
.bytes
[12], sizeof (int32_t));
287 memcpy (&image
, &d128
.bytes
[8], sizeof (int32_t));
289 memcpy (&image
, &d128
.bytes
[4], sizeof (int32_t));
291 memcpy (&image
, &d128
.bytes
[0], sizeof (int32_t));
296 /* Decode an IEEE 754 decimal128 type into a real. */
299 decode_decimal128 (const struct real_format
*fmt ATTRIBUTE_UNUSED
,
300 REAL_VALUE_TYPE
*r
, const long *buf
)
307 decContextDefault (&set
, DEC_INIT_DECIMAL128
);
310 if (WORDS_BIGENDIAN
== FLOAT_WORDS_BIG_ENDIAN
)
313 memcpy (&d128
.bytes
[0], &image
, sizeof (int32_t));
315 memcpy (&d128
.bytes
[4], &image
, sizeof (int32_t));
317 memcpy (&d128
.bytes
[8], &image
, sizeof (int32_t));
319 memcpy (&d128
.bytes
[12], &image
, sizeof (int32_t));
324 memcpy (&d128
.bytes
[0], &image
, sizeof (int32_t));
326 memcpy (&d128
.bytes
[4], &image
, sizeof (int32_t));
328 memcpy (&d128
.bytes
[8], &image
, sizeof (int32_t));
330 memcpy (&d128
.bytes
[12], &image
, sizeof (int32_t));
333 decimal128ToNumber (&d128
, &dn
);
334 decimal_from_decnumber (r
, &dn
, &set
);
337 /* Helper function to convert from a binary real internal
341 decimal_to_binary (REAL_VALUE_TYPE
*to
, const REAL_VALUE_TYPE
*from
,
342 const real_format
*fmt
)
345 if (from
->cl
== rvc_normal
)
347 const decimal128
*const d128
= (const decimal128
*) from
->sig
;
348 decimal128ToString (d128
, string
);
351 real_to_decimal (string
, from
, sizeof (string
), 0, 1);
352 real_from_string3 (to
, string
, fmt
);
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
, const real_format
*fmt
,
463 const REAL_VALUE_TYPE
*a
)
465 if (a
->decimal
&& fmt
->b
== 10)
468 decimal_to_binary (r
, a
, fmt
);
470 decimal_from_binary (r
, a
);
473 /* Render R_ORIG as a decimal floating point constant. Emit DIGITS
474 significant digits in the result, bounded by BUF_SIZE. If DIGITS
475 is 0, choose the maximum for the representation. If
476 CROP_TRAILING_ZEROS, strip trailing zeros. Currently, not honoring
477 DIGITS or CROP_TRAILING_ZEROS. */
480 decimal_real_to_decimal (char *str
, const REAL_VALUE_TYPE
*r_orig
,
482 size_t digits ATTRIBUTE_UNUSED
,
483 int crop_trailing_zeros ATTRIBUTE_UNUSED
)
485 const decimal128
*const d128
= (const decimal128
*) r_orig
->sig
;
487 /* decimal128ToString requires space for at least 24 characters;
488 Require two more for suffix. */
489 gcc_assert (buf_size
>= 24);
490 decimal128ToString (d128
, str
);
494 decimal_do_add (REAL_VALUE_TYPE
*r
, const REAL_VALUE_TYPE
*op0
,
495 const REAL_VALUE_TYPE
*op1
, int subtract_p
)
501 decimal_to_decnumber (op0
, &dn2
);
502 decimal_to_decnumber (op1
, &dn3
);
504 decContextDefault (&set
, DEC_INIT_DECIMAL128
);
508 decNumberSubtract (&dn
, &dn2
, &dn3
, &set
);
510 decNumberAdd (&dn
, &dn2
, &dn3
, &set
);
512 decimal_from_decnumber (r
, &dn
, &set
);
514 /* Return true, if inexact. */
515 return (set
.status
& DEC_Inexact
);
518 /* Compute R = OP0 * OP1. */
521 decimal_do_multiply (REAL_VALUE_TYPE
*r
, const REAL_VALUE_TYPE
*op0
,
522 const REAL_VALUE_TYPE
*op1
)
525 decNumber dn
, dn2
, dn3
;
527 decimal_to_decnumber (op0
, &dn2
);
528 decimal_to_decnumber (op1
, &dn3
);
530 decContextDefault (&set
, DEC_INIT_DECIMAL128
);
533 decNumberMultiply (&dn
, &dn2
, &dn3
, &set
);
534 decimal_from_decnumber (r
, &dn
, &set
);
536 /* Return true, if inexact. */
537 return (set
.status
& DEC_Inexact
);
540 /* Compute R = OP0 / OP1. */
543 decimal_do_divide (REAL_VALUE_TYPE
*r
, const REAL_VALUE_TYPE
*op0
,
544 const REAL_VALUE_TYPE
*op1
)
547 decNumber dn
, dn2
, dn3
;
549 decimal_to_decnumber (op0
, &dn2
);
550 decimal_to_decnumber (op1
, &dn3
);
552 decContextDefault (&set
, DEC_INIT_DECIMAL128
);
555 decNumberDivide (&dn
, &dn2
, &dn3
, &set
);
556 decimal_from_decnumber (r
, &dn
, &set
);
558 /* Return true, if inexact. */
559 return (set
.status
& DEC_Inexact
);
562 /* Set R to A truncated to an integral value toward zero (decimal
566 decimal_do_fix_trunc (REAL_VALUE_TYPE
*r
, const REAL_VALUE_TYPE
*a
)
571 decContextDefault (&set
, DEC_INIT_DECIMAL128
);
573 set
.round
= DEC_ROUND_DOWN
;
574 decimal128ToNumber ((const decimal128
*) a
->sig
, &dn2
);
576 decNumberToIntegralValue (&dn
, &dn2
, &set
);
577 decimal_from_decnumber (r
, &dn
, &set
);
580 /* Render decimal float value R as an integer. */
583 decimal_real_to_integer (const REAL_VALUE_TYPE
*r
)
586 decNumber dn
, dn2
, dn3
;
590 decContextDefault (&set
, DEC_INIT_DECIMAL128
);
592 set
.round
= DEC_ROUND_DOWN
;
593 decimal128ToNumber ((const decimal128
*) r
->sig
, &dn
);
595 decNumberToIntegralValue (&dn2
, &dn
, &set
);
596 decNumberZero (&dn3
);
597 decNumberRescale (&dn
, &dn2
, &dn3
, &set
);
599 /* Convert to REAL_VALUE_TYPE and call appropriate conversion
601 decNumberToString (&dn
, string
);
602 real_from_string (&to
, string
);
603 return real_to_integer (&to
);
606 /* Likewise, but returns a wide_int with PRECISION. *FAIL is set if the
607 value does not fit. */
610 decimal_real_to_integer (const REAL_VALUE_TYPE
*r
, bool *fail
, int precision
)
613 decNumber dn
, dn2
, dn3
;
617 decContextDefault (&set
, DEC_INIT_DECIMAL128
);
619 set
.round
= DEC_ROUND_DOWN
;
620 decimal128ToNumber ((const decimal128
*) r
->sig
, &dn
);
622 decNumberToIntegralValue (&dn2
, &dn
, &set
);
623 decNumberZero (&dn3
);
624 decNumberRescale (&dn
, &dn2
, &dn3
, &set
);
626 /* Convert to REAL_VALUE_TYPE and call appropriate conversion
628 decNumberToString (&dn
, string
);
629 real_from_string (&to
, string
);
630 return real_to_integer (&to
, fail
, precision
);
633 /* Perform the decimal floating point operation described by CODE.
634 For a unary operation, OP1 will be NULL. This function returns
635 true if the result may be inexact due to loss of precision. */
638 decimal_real_arithmetic (REAL_VALUE_TYPE
*r
, enum tree_code code
,
639 const REAL_VALUE_TYPE
*op0
,
640 const REAL_VALUE_TYPE
*op1
)
642 REAL_VALUE_TYPE a
, b
;
644 /* If either operand is non-decimal, create temporaries. */
647 decimal_from_binary (&a
, op0
);
650 if (op1
&& !op1
->decimal
)
652 decimal_from_binary (&b
, op1
);
659 return decimal_do_add (r
, op0
, op1
, 0);
662 return decimal_do_add (r
, op0
, op1
, 1);
665 return decimal_do_multiply (r
, op0
, op1
);
668 return decimal_do_divide (r
, op0
, op1
);
671 if (op1
->cl
== rvc_nan
)
673 else if (real_compare (UNLT_EXPR
, op0
, op1
))
680 if (op1
->cl
== rvc_nan
)
682 else if (real_compare (LT_EXPR
, op0
, op1
))
692 decimal128FlipSign ((decimal128
*) r
->sig
);
693 /* Keep sign field in sync. */
701 /* Clear sign bit. */
702 decimal128ClearSign ((decimal128
*) r
->sig
);
703 /* Keep sign field in sync. */
709 decimal_do_fix_trunc (r
, op0
);
717 /* Fills R with the largest finite value representable in mode MODE.
718 If SIGN is nonzero, R is set to the most negative finite value. */
721 decimal_real_maxval (REAL_VALUE_TYPE
*r
, int sign
, machine_mode mode
)
731 max
= "9.999999999999999E384";
734 max
= "9.999999999999999999999999999999999E6144";
740 decimal_real_from_string (r
, max
);
742 decimal128SetSign ((decimal128
*) r
->sig
, 1);