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e9a25f70 1/* Definitions of floating-point access for GNU compiler.
03cd8aba 2 Copyright (C) 1989, 1991, 1994, 1996, 1997, 1998, 1999,
b6a9c30c 3 2000, 2002, 2003, 2004, 2005, 2007 Free Software Foundation, Inc.
0694b47c 4
efdc7e19 5 This file is part of GCC.
0694b47c 6
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7 GCC is free software; you can redistribute it and/or modify it under
8 the terms of the GNU General Public License as published by the Free
9 Software Foundation; either version 2, or (at your option) any later
10 version.
0694b47c 11
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12 GCC is distributed in the hope that it will be useful, but WITHOUT ANY
13 WARRANTY; without even the implied warranty of MERCHANTABILITY or
14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
15 for more details.
0694b47c 16
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17 You should have received a copy of the GNU General Public License
18 along with GCC; see the file COPYING. If not, write to the Free
366ccddb
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19 Software Foundation, 51 Franklin Street, Fifth Floor, Boston, MA
20 02110-1301, USA. */
0694b47c 21
88657302
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22#ifndef GCC_REAL_H
23#define GCC_REAL_H
0694b47c 24
1f3f1f68
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25#include <gmp.h>
26#include <mpfr.h>
11ad4784
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27#include "machmode.h"
28
0ee6fdb5 29/* An expanded form of the represented number. */
ba31d94e 30
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31/* Enumerate the special cases of numbers that we encounter. */
32enum real_value_class {
33 rvc_zero,
34 rvc_normal,
35 rvc_inf,
36 rvc_nan
37};
38
ee6ff319 39#define SIGNIFICAND_BITS (128 + HOST_BITS_PER_LONG)
909e2256 40#define EXP_BITS (32 - 6)
0ee6fdb5
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41#define MAX_EXP ((1 << (EXP_BITS - 1)) - 1)
42#define SIGSZ (SIGNIFICAND_BITS / HOST_BITS_PER_LONG)
43#define SIG_MSB ((unsigned long)1 << (HOST_BITS_PER_LONG - 1))
44
45struct real_value GTY(())
46{
1e92bbb9
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47 /* Use the same underlying type for all bit-fields, so as to make
48 sure they're packed together, otherwise REAL_VALUE_TYPE_SIZE will
49 be miscomputed. */
e3a64162 50 unsigned int /* ENUM_BITFIELD (real_value_class) */ cl : 2;
909e2256 51 unsigned int decimal : 1;
0ee6fdb5 52 unsigned int sign : 1;
ad59ba20 53 unsigned int signalling : 1;
fe0002ee 54 unsigned int canonical : 1;
1e92bbb9 55 unsigned int uexp : EXP_BITS;
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56 unsigned long sig[SIGSZ];
57};
fd76a739 58
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59#define REAL_EXP(REAL) \
60 ((int)((REAL)->uexp ^ (unsigned int)(1 << (EXP_BITS - 1))) \
61 - (1 << (EXP_BITS - 1)))
62#define SET_REAL_EXP(REAL, EXP) \
63 ((REAL)->uexp = ((unsigned int)(EXP) & (unsigned int)((1 << EXP_BITS) - 1)))
64
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65/* Various headers condition prototypes on #ifdef REAL_VALUE_TYPE, so it
66 needs to be a macro. We do need to continue to have a structure tag
67 so that other headers can forward declare it. */
68#define REAL_VALUE_TYPE struct real_value
69
70/* We store a REAL_VALUE_TYPE into an rtx, and we do this by putting it in
71 consecutive "w" slots. Moreover, we've got to compute the number of "w"
72 slots at preprocessor time, which means we can't use sizeof. Guess. */
73
74#define REAL_VALUE_TYPE_SIZE (SIGNIFICAND_BITS + 32)
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75#define REAL_WIDTH \
76 (REAL_VALUE_TYPE_SIZE/HOST_BITS_PER_WIDE_INT \
77 + (REAL_VALUE_TYPE_SIZE%HOST_BITS_PER_WIDE_INT ? 1 : 0)) /* round up */
efdc7e19 78
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79/* Verify the guess. */
80extern char test_real_width
81 [sizeof(REAL_VALUE_TYPE) <= REAL_WIDTH*sizeof(HOST_WIDE_INT) ? 1 : -1];
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82
83/* Calculate the format for CONST_DOUBLE. We need as many slots as
84 are necessary to overlay a REAL_VALUE_TYPE on them. This could be
efdc7e19 85 as many as four (32-bit HOST_WIDE_INT, 128-bit REAL_VALUE_TYPE).
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86
87 A number of places assume that there are always at least two 'w'
88 slots in a CONST_DOUBLE, so we provide them even if one would suffice. */
89
90#if REAL_WIDTH == 1
5692c7bc 91# define CONST_DOUBLE_FORMAT "ww"
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92#else
93# if REAL_WIDTH == 2
5692c7bc 94# define CONST_DOUBLE_FORMAT "ww"
46468cd9
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95# else
96# if REAL_WIDTH == 3
5692c7bc 97# define CONST_DOUBLE_FORMAT "www"
46468cd9
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98# else
99# if REAL_WIDTH == 4
5692c7bc 100# define CONST_DOUBLE_FORMAT "wwww"
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101# else
102# if REAL_WIDTH == 5
5692c7bc 103# define CONST_DOUBLE_FORMAT "wwwww"
46468cd9 104# else
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105# if REAL_WIDTH == 6
106# define CONST_DOUBLE_FORMAT "wwwwww"
107# else
108 #error "REAL_WIDTH > 6 not supported"
109# endif
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110# endif
111# endif
112# endif
113# endif
114#endif
fd76a739 115
84f9b8e9 116
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117/* Describes the properties of the specific target format in use. */
118struct real_format
119{
120 /* Move to and from the target bytes. */
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121 void (*encode) (const struct real_format *, long *,
122 const REAL_VALUE_TYPE *);
123 void (*decode) (const struct real_format *, REAL_VALUE_TYPE *,
124 const long *);
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125
126 /* The radix of the exponent and digits of the significand. */
127 int b;
128
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129 /* Size of the significand in digits of radix B. */
130 int p;
131
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132 /* Size of the significant of a NaN, in digits of radix B. */
133 int pnan;
134
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135 /* The minimum negative integer, x, such that b**(x-1) is normalized. */
136 int emin;
137
138 /* The maximum integer, x, such that b**(x-1) is representable. */
139 int emax;
140
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141 /* The bit position of the sign bit, for determining whether a value
142 is positive/negative, or -1 for a complex encoding. */
143 int signbit_ro;
144
145 /* The bit position of the sign bit, for changing the sign of a number,
146 or -1 for a complex encoding. */
147 int signbit_rw;
4977bab6 148
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149 /* Properties of the format. */
150 bool has_nans;
151 bool has_inf;
152 bool has_denorm;
153 bool has_signed_zero;
154 bool qnan_msb_set;
58145e4d 155 bool canonical_nan_lsbs_set;
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156};
157
158
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159/* The target format used for each floating point mode.
160 Float modes are followed by decimal float modes, with entries for
161 float modes indexed by (MODE - first float mode), and entries for
162 decimal float modes indexed by (MODE - first decimal float mode) +
163 the number of float modes. */
0974c7d7 164extern const struct real_format *
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165 real_format_for_mode[MAX_MODE_FLOAT - MIN_MODE_FLOAT + 1
166 + MAX_MODE_DECIMAL_FLOAT - MIN_MODE_DECIMAL_FLOAT + 1];
3dc85dfb 167
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168#define REAL_MODE_FORMAT(MODE) \
169 (real_format_for_mode[DECIMAL_FLOAT_MODE_P (MODE) \
170 ? ((MODE - MIN_MODE_DECIMAL_FLOAT) \
171 + (MAX_MODE_FLOAT - MIN_MODE_FLOAT + 1)) \
172 : (MODE - MIN_MODE_FLOAT)])
3dc85dfb 173
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174/* The following macro determines whether the floating point format is
175 composite, i.e. may contain non-consecutive mantissa bits, in which
176 case compile-time FP overflow may not model run-time overflow. */
177#define REAL_MODE_FORMAT_COMPOSITE_P(MODE) \
178 ((REAL_MODE_FORMAT(MODE))->pnan < (REAL_MODE_FORMAT (MODE))->p)
179
3dc85dfb 180/* Declare functions in real.c. */
fd76a739 181
efdc7e19 182/* Binary or unary arithmetic on tree_code. */
d284eb28 183extern bool real_arithmetic (REAL_VALUE_TYPE *, int, const REAL_VALUE_TYPE *,
0c20a65f 184 const REAL_VALUE_TYPE *);
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185
186/* Compare reals by tree_code. */
0c20a65f 187extern bool real_compare (int, const REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *);
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188
189/* Determine whether a floating-point value X is infinite. */
0c20a65f 190extern bool real_isinf (const REAL_VALUE_TYPE *);
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191
192/* Determine whether a floating-point value X is a NaN. */
0c20a65f 193extern bool real_isnan (const REAL_VALUE_TYPE *);
efdc7e19 194
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195/* Determine whether a floating-point value X is finite. */
196extern bool real_isfinite (const REAL_VALUE_TYPE *);
197
efdc7e19 198/* Determine whether a floating-point value X is negative. */
0c20a65f 199extern bool real_isneg (const REAL_VALUE_TYPE *);
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200
201/* Determine whether a floating-point value X is minus zero. */
0c20a65f 202extern bool real_isnegzero (const REAL_VALUE_TYPE *);
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203
204/* Compare two floating-point objects for bitwise identity. */
0c20a65f 205extern bool real_identical (const REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *);
fd76a739 206
efdc7e19 207/* Extend or truncate to a new mode. */
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208extern void real_convert (REAL_VALUE_TYPE *, enum machine_mode,
209 const REAL_VALUE_TYPE *);
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210
211/* Return true if truncating to NEW is exact. */
0c20a65f 212extern bool exact_real_truncate (enum machine_mode, const REAL_VALUE_TYPE *);
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213
214/* Render R as a decimal floating point constant. */
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215extern void real_to_decimal (char *, const REAL_VALUE_TYPE *, size_t,
216 size_t, int);
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217
218/* Render R as a hexadecimal floating point constant. */
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219extern void real_to_hexadecimal (char *, const REAL_VALUE_TYPE *,
220 size_t, size_t, int);
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221
222/* Render R as an integer. */
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223extern HOST_WIDE_INT real_to_integer (const REAL_VALUE_TYPE *);
224extern void real_to_integer2 (HOST_WIDE_INT *, HOST_WIDE_INT *,
225 const REAL_VALUE_TYPE *);
efdc7e19 226
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227/* Initialize R from a decimal or hexadecimal string. Return -1 if
228 the value underflows, +1 if overflows, and 0 otherwise. */
229extern int real_from_string (REAL_VALUE_TYPE *, const char *);
909e2256
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230/* Wrapper to allow different internal representation for decimal floats. */
231extern void real_from_string3 (REAL_VALUE_TYPE *, const char *, enum machine_mode);
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232
233/* Initialize R from an integer pair HIGH/LOW. */
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234extern void real_from_integer (REAL_VALUE_TYPE *, enum machine_mode,
235 unsigned HOST_WIDE_INT, HOST_WIDE_INT, int);
8f9eb495 236
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237extern long real_to_target_fmt (long *, const REAL_VALUE_TYPE *,
238 const struct real_format *);
239extern long real_to_target (long *, const REAL_VALUE_TYPE *, enum machine_mode);
fd76a739 240
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241extern void real_from_target_fmt (REAL_VALUE_TYPE *, const long *,
242 const struct real_format *);
243extern void real_from_target (REAL_VALUE_TYPE *, const long *,
244 enum machine_mode);
6f4d7222 245
0c20a65f 246extern void real_inf (REAL_VALUE_TYPE *);
fd76a739 247
0c20a65f 248extern bool real_nan (REAL_VALUE_TYPE *, const char *, int, enum machine_mode);
efdc7e19 249
0c20a65f 250extern void real_maxval (REAL_VALUE_TYPE *, int, enum machine_mode);
18c2511c 251
0c20a65f 252extern void real_2expN (REAL_VALUE_TYPE *, int);
efdc7e19 253
0c20a65f 254extern unsigned int real_hash (const REAL_VALUE_TYPE *);
46b33600 255
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256
257/* Target formats defined in real.c. */
258extern const struct real_format ieee_single_format;
fe0002ee 259extern const struct real_format mips_single_format;
b6a9c30c 260extern const struct real_format motorola_single_format;
3dc85dfb 261extern const struct real_format ieee_double_format;
fe0002ee 262extern const struct real_format mips_double_format;
b6a9c30c 263extern const struct real_format motorola_double_format;
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264extern const struct real_format ieee_extended_motorola_format;
265extern const struct real_format ieee_extended_intel_96_format;
bfa0c519 266extern const struct real_format ieee_extended_intel_96_round_53_format;
3dc85dfb 267extern const struct real_format ieee_extended_intel_128_format;
d454e75a 268extern const struct real_format ibm_extended_format;
fe0002ee 269extern const struct real_format mips_extended_format;
3dc85dfb 270extern const struct real_format ieee_quad_format;
fe0002ee 271extern const struct real_format mips_quad_format;
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272extern const struct real_format vax_f_format;
273extern const struct real_format vax_d_format;
274extern const struct real_format vax_g_format;
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275extern const struct real_format c4x_single_format;
276extern const struct real_format c4x_extended_format;
5e26e5a2 277extern const struct real_format real_internal_format;
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278extern const struct real_format decimal_single_format;
279extern const struct real_format decimal_double_format;
280extern const struct real_format decimal_quad_format;
3dc85dfb
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281
282
efdc7e19
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283/* ====================================================================== */
284/* Crap. */
285
efdc7e19
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286#define REAL_ARITHMETIC(value, code, d1, d2) \
287 real_arithmetic (&(value), code, &(d1), &(d2))
288
289#define REAL_VALUES_IDENTICAL(x, y) real_identical (&(x), &(y))
290#define REAL_VALUES_EQUAL(x, y) real_compare (EQ_EXPR, &(x), &(y))
291#define REAL_VALUES_LESS(x, y) real_compare (LT_EXPR, &(x), &(y))
15e5ad76 292
ba31d94e 293/* Determine whether a floating-point value X is infinite. */
efdc7e19 294#define REAL_VALUE_ISINF(x) real_isinf (&(x))
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295
296/* Determine whether a floating-point value X is a NaN. */
efdc7e19 297#define REAL_VALUE_ISNAN(x) real_isnan (&(x))
ba31d94e
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298
299/* Determine whether a floating-point value X is negative. */
efdc7e19 300#define REAL_VALUE_NEGATIVE(x) real_isneg (&(x))
ba31d94e
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301
302/* Determine whether a floating-point value X is minus zero. */
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303#define REAL_VALUE_MINUS_ZERO(x) real_isnegzero (&(x))
304
305/* IN is a REAL_VALUE_TYPE. OUT is an array of longs. */
306#define REAL_VALUE_TO_TARGET_LONG_DOUBLE(IN, OUT) \
307 real_to_target (OUT, &(IN), \
308 mode_for_size (LONG_DOUBLE_TYPE_SIZE, MODE_FLOAT, 0))
fd76a739 309
efdc7e19
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310#define REAL_VALUE_TO_TARGET_DOUBLE(IN, OUT) \
311 real_to_target (OUT, &(IN), mode_for_size (64, MODE_FLOAT, 0))
91d61207 312
efdc7e19
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313/* IN is a REAL_VALUE_TYPE. OUT is a long. */
314#define REAL_VALUE_TO_TARGET_SINGLE(IN, OUT) \
315 ((OUT) = real_to_target (NULL, &(IN), mode_for_size (32, MODE_FLOAT, 0)))
91d61207 316
efdc7e19
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317#define REAL_VALUE_FROM_INT(r, lo, hi, mode) \
318 real_from_integer (&(r), mode, lo, hi, 0)
7bb5d01e 319
efdc7e19
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320#define REAL_VALUE_FROM_UNSIGNED_INT(r, lo, hi, mode) \
321 real_from_integer (&(r), mode, lo, hi, 1)
322
909e2256
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323/* Real values to IEEE 754R decimal floats. */
324
325/* IN is a REAL_VALUE_TYPE. OUT is an array of longs. */
326#define REAL_VALUE_TO_TARGET_DECIMAL128(IN, OUT) \
327 real_to_target (OUT, &(IN), mode_for_size (128, MODE_DECIMAL_FLOAT, 0))
328
329#define REAL_VALUE_TO_TARGET_DECIMAL64(IN, OUT) \
330 real_to_target (OUT, &(IN), mode_for_size (64, MODE_DECIMAL_FLOAT, 0))
331
332/* IN is a REAL_VALUE_TYPE. OUT is a long. */
333#define REAL_VALUE_TO_TARGET_DECIMAL32(IN, OUT) \
334 ((OUT) = real_to_target (NULL, &(IN), mode_for_size (32, MODE_DECIMAL_FLOAT, 0)))
335
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336extern REAL_VALUE_TYPE real_value_truncate (enum machine_mode,
337 REAL_VALUE_TYPE);
efdc7e19
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338
339#define REAL_VALUE_TO_INT(plow, phigh, r) \
340 real_to_integer2 (plow, phigh, &(r))
341
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342extern REAL_VALUE_TYPE real_arithmetic2 (int, const REAL_VALUE_TYPE *,
343 const REAL_VALUE_TYPE *);
efdc7e19
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344
345#define REAL_VALUE_NEGATE(X) \
346 real_arithmetic2 (NEGATE_EXPR, &(X), NULL)
7bb5d01e 347
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348#define REAL_VALUE_ABS(X) \
349 real_arithmetic2 (ABS_EXPR, &(X), NULL)
7bb6fbd1 350
0c20a65f 351extern int significand_size (enum machine_mode);
7bb6fbd1 352
0c20a65f 353extern REAL_VALUE_TYPE real_from_string2 (const char *, enum machine_mode);
7bb5d01e 354
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355#define REAL_VALUE_ATOF(s, m) \
356 real_from_string2 (s, m)
fd76a739 357
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358#define CONST_DOUBLE_ATOF(s, m) \
359 CONST_DOUBLE_FROM_REAL_VALUE (real_from_string2 (s, m), m)
360
361#define REAL_VALUE_FIX(r) \
362 real_to_integer (&(r))
363
364/* ??? Not quite right. */
365#define REAL_VALUE_UNSIGNED_FIX(r) \
366 real_to_integer (&(r))
367
368/* ??? These were added for Paranoia support. */
369
370/* Return floor log2(R). */
0c20a65f 371extern int real_exponent (const REAL_VALUE_TYPE *);
efdc7e19
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372
373/* R = A * 2**EXP. */
0c20a65f 374extern void real_ldexp (REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *, int);
fd76a739 375
fd76a739 376/* **** End of software floating point emulator interface macros **** */
0694b47c 377\f
f7657db9 378/* Constant real values 0, 1, 2, 3, 10, -1, -2, 0.5 and 1/3. */
0694b47c
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379
380extern REAL_VALUE_TYPE dconst0;
381extern REAL_VALUE_TYPE dconst1;
382extern REAL_VALUE_TYPE dconst2;
f7657db9
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383extern REAL_VALUE_TYPE dconst3;
384extern REAL_VALUE_TYPE dconst10;
0694b47c 385extern REAL_VALUE_TYPE dconstm1;
03f2ea93
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386extern REAL_VALUE_TYPE dconstm2;
387extern REAL_VALUE_TYPE dconsthalf;
f7657db9 388extern REAL_VALUE_TYPE dconstthird;
b86a760a 389extern REAL_VALUE_TYPE dconstsqrt2;
ab01a87c 390extern REAL_VALUE_TYPE dconste;
0694b47c 391
0694b47c
RS
392/* Function to return a real value (not a tree node)
393 from a given integer constant. */
9566a759 394REAL_VALUE_TYPE real_value_from_int_cst (const_tree, const_tree);
0694b47c 395
efdc7e19
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396/* Given a CONST_DOUBLE in FROM, store into TO the value it represents. */
397#define REAL_VALUE_FROM_CONST_DOUBLE(to, from) \
9e254451 398 ((to) = *CONST_DOUBLE_REAL_VALUE (from))
0694b47c
RS
399
400/* Return a CONST_DOUBLE with value R and mode M. */
5692c7bc
ZW
401#define CONST_DOUBLE_FROM_REAL_VALUE(r, m) \
402 const_double_from_real_value (r, m)
0c20a65f 403extern rtx const_double_from_real_value (REAL_VALUE_TYPE, enum machine_mode);
5692c7bc 404
ebc8186b 405/* Replace R by 1/R in the given machine mode, if the result is exact. */
0c20a65f 406extern bool exact_real_inverse (enum machine_mode, REAL_VALUE_TYPE *);
ebc8186b 407
11ad4784 408/* In tree.c: wrap up a REAL_VALUE_TYPE in a tree node. */
0c20a65f 409extern tree build_real (tree, REAL_VALUE_TYPE);
11ad4784 410
4977bab6 411/* Calculate R as the square root of X in the given machine mode. */
0c20a65f
AJ
412extern bool real_sqrt (REAL_VALUE_TYPE *, enum machine_mode,
413 const REAL_VALUE_TYPE *);
11ad4784 414
71c0e7fc 415/* Calculate R as X raised to the integer exponent N in mode MODE. */
0c20a65f
AJ
416extern bool real_powi (REAL_VALUE_TYPE *, enum machine_mode,
417 const REAL_VALUE_TYPE *, HOST_WIDE_INT);
e82a312b 418
0a9530a9 419/* Standard round to integer value functions. */
0c20a65f
AJ
420extern void real_trunc (REAL_VALUE_TYPE *, enum machine_mode,
421 const REAL_VALUE_TYPE *);
422extern void real_floor (REAL_VALUE_TYPE *, enum machine_mode,
423 const REAL_VALUE_TYPE *);
424extern void real_ceil (REAL_VALUE_TYPE *, enum machine_mode,
425 const REAL_VALUE_TYPE *);
25348c94
RS
426extern void real_round (REAL_VALUE_TYPE *, enum machine_mode,
427 const REAL_VALUE_TYPE *);
0a9530a9 428
67057c53
RS
429/* Set the sign of R to the sign of X. */
430extern void real_copysign (REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *);
431
1f3f1f68
KG
432/* Convert between MPFR and REAL_VALUE_TYPE. The caller is
433 responsible for initializing and clearing the MPFR parameter. */
434
205a4d09
BM
435extern void real_from_mpfr (REAL_VALUE_TYPE *, mpfr_srcptr, tree, mp_rnd_t);
436extern void mpfr_from_real (mpfr_ptr, const REAL_VALUE_TYPE *, mp_rnd_t);
1f3f1f68 437
313f234b
MLI
438/* Check whether the real constant value given is an integer. */
439extern bool real_isinteger (const REAL_VALUE_TYPE *c, enum machine_mode mode);
440
7faa1bbb
KG
441/* Write into BUF the maximum representable finite floating-point
442 number, (1 - b**-p) * b**emax for a given FP format FMT as a hex
443 float string. BUF must be large enough to contain the result. */
444extern void get_max_float (const struct real_format *, char *, size_t);
88657302 445#endif /* ! GCC_REAL_H */