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/* Definitions of floating-point access for GNU compiler.
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   Copyright (C) 1989, 1991, 1994, 1996, 1997, 1998, 1999,
3
   2000, 2002, 2003, 2004, 2005, 2007 Free Software Foundation, Inc.
4
 
5
   This file is part of GCC.
6
 
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 3, or (at your option) any later
10
   version.
11
 
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
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   for more details.
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17
   You should have received a copy of the GNU General Public License
18
   along with GCC; see the file COPYING3.  If not see
19
   <http://www.gnu.org/licenses/>.  */
20
 
21
#ifndef GCC_REAL_H
22
#define GCC_REAL_H
23
 
24
#include "machmode.h"
25
 
26
/* An expanded form of the represented number.  */
27
 
28
/* Enumerate the special cases of numbers that we encounter.  */
29
enum real_value_class {
30
  rvc_zero,
31
  rvc_normal,
32
  rvc_inf,
33
  rvc_nan
34
};
35
 
36
#define SIGNIFICAND_BITS        (128 + HOST_BITS_PER_LONG)
37
#define EXP_BITS                (32 - 6)
38
#define MAX_EXP                 ((1 << (EXP_BITS - 1)) - 1)
39
#define SIGSZ                   (SIGNIFICAND_BITS / HOST_BITS_PER_LONG)
40
#define SIG_MSB                 ((unsigned long)1 << (HOST_BITS_PER_LONG - 1))
41
 
42
struct real_value GTY(())
43
{
44
  /* Use the same underlying type for all bit-fields, so as to make
45
     sure they're packed together, otherwise REAL_VALUE_TYPE_SIZE will
46
     be miscomputed.  */
47
  unsigned int /* ENUM_BITFIELD (real_value_class) */ cl : 2;
48
  unsigned int decimal : 1;
49
  unsigned int sign : 1;
50
  unsigned int signalling : 1;
51
  unsigned int canonical : 1;
52
  unsigned int uexp : EXP_BITS;
53
  unsigned long sig[SIGSZ];
54
};
55
 
56
#define REAL_EXP(REAL) \
57
  ((int)((REAL)->uexp ^ (unsigned int)(1 << (EXP_BITS - 1))) \
58
   - (1 << (EXP_BITS - 1)))
59
#define SET_REAL_EXP(REAL, EXP) \
60
  ((REAL)->uexp = ((unsigned int)(EXP) & (unsigned int)((1 << EXP_BITS) - 1)))
61
 
62
/* Various headers condition prototypes on #ifdef REAL_VALUE_TYPE, so it
63
   needs to be a macro.  We do need to continue to have a structure tag
64
   so that other headers can forward declare it.  */
65
#define REAL_VALUE_TYPE struct real_value
66
 
67
/* We store a REAL_VALUE_TYPE into an rtx, and we do this by putting it in
68
   consecutive "w" slots.  Moreover, we've got to compute the number of "w"
69
   slots at preprocessor time, which means we can't use sizeof.  Guess.  */
70
 
71
#define REAL_VALUE_TYPE_SIZE (SIGNIFICAND_BITS + 32)
72
#define REAL_WIDTH \
73
  (REAL_VALUE_TYPE_SIZE/HOST_BITS_PER_WIDE_INT \
74
   + (REAL_VALUE_TYPE_SIZE%HOST_BITS_PER_WIDE_INT ? 1 : 0)) /* round up */
75
 
76
/* Verify the guess.  */
77
extern char test_real_width
78
  [sizeof(REAL_VALUE_TYPE) <= REAL_WIDTH*sizeof(HOST_WIDE_INT) ? 1 : -1];
79
 
80
/* Calculate the format for CONST_DOUBLE.  We need as many slots as
81
   are necessary to overlay a REAL_VALUE_TYPE on them.  This could be
82
   as many as four (32-bit HOST_WIDE_INT, 128-bit REAL_VALUE_TYPE).
83
 
84
   A number of places assume that there are always at least two 'w'
85
   slots in a CONST_DOUBLE, so we provide them even if one would suffice.  */
86
 
87
#if REAL_WIDTH == 1
88
# define CONST_DOUBLE_FORMAT     "ww"
89
#else
90
# if REAL_WIDTH == 2
91
#  define CONST_DOUBLE_FORMAT    "ww"
92
# else
93
#  if REAL_WIDTH == 3
94
#   define CONST_DOUBLE_FORMAT   "www"
95
#  else
96
#   if REAL_WIDTH == 4
97
#    define CONST_DOUBLE_FORMAT  "wwww"
98
#   else
99
#    if REAL_WIDTH == 5
100
#     define CONST_DOUBLE_FORMAT "wwwww"
101
#    else
102
#     if REAL_WIDTH == 6
103
#      define CONST_DOUBLE_FORMAT "wwwwww"
104
#     else
105
       #error "REAL_WIDTH > 6 not supported"
106
#     endif
107
#    endif
108
#   endif
109
#  endif
110
# endif
111
#endif
112
 
113
 
114
/* Describes the properties of the specific target format in use.  */
115
struct real_format
116
{
117
  /* Move to and from the target bytes.  */
118
  void (*encode) (const struct real_format *, long *,
119
                  const REAL_VALUE_TYPE *);
120
  void (*decode) (const struct real_format *, REAL_VALUE_TYPE *,
121
                  const long *);
122
 
123
  /* The radix of the exponent and digits of the significand.  */
124
  int b;
125
 
126
  /* log2(b).  */
127
  int log2_b;
128
 
129
  /* Size of the significand in digits of radix B.  */
130
  int p;
131
 
132
  /* Size of the significant of a NaN, in digits of radix B.  */
133
  int pnan;
134
 
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
 
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;
148
 
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;
155
};
156
 
157
 
158
/* The target format used for each floating point mode.
159
   Float modes are followed by decimal float modes, with entries for
160
   float modes indexed by (MODE - first float mode), and entries for
161
   decimal float modes indexed by (MODE - first decimal float mode) +
162
   the number of float modes.  */
163
extern const struct real_format *
164
  real_format_for_mode[MAX_MODE_FLOAT - MIN_MODE_FLOAT + 1
165
                       + MAX_MODE_DECIMAL_FLOAT - MIN_MODE_DECIMAL_FLOAT + 1];
166
 
167
#define REAL_MODE_FORMAT(MODE)                                          \
168
  (real_format_for_mode[DECIMAL_FLOAT_MODE_P (MODE)                     \
169
                        ? ((MODE - MIN_MODE_DECIMAL_FLOAT)              \
170
                           + (MAX_MODE_FLOAT - MIN_MODE_FLOAT + 1))     \
171
                        : (MODE - MIN_MODE_FLOAT)])
172
 
173
/* The following macro determines whether the floating point format is
174
   composite, i.e. may contain non-consecutive mantissa bits, in which
175
   case compile-time FP overflow may not model run-time overflow.  */
176
#define REAL_MODE_FORMAT_COMPOSITE_P(MODE) \
177
        ((REAL_MODE_FORMAT(MODE))->pnan < (REAL_MODE_FORMAT (MODE))->p)
178
 
179
/* Declare functions in real.c.  */
180
 
181
/* Binary or unary arithmetic on tree_code.  */
182
extern bool real_arithmetic (REAL_VALUE_TYPE *, int, const REAL_VALUE_TYPE *,
183
                             const REAL_VALUE_TYPE *);
184
 
185
/* Compare reals by tree_code.  */
186
extern bool real_compare (int, const REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *);
187
 
188
/* Determine whether a floating-point value X is infinite.  */
189
extern bool real_isinf (const REAL_VALUE_TYPE *);
190
 
191
/* Determine whether a floating-point value X is a NaN.  */
192
extern bool real_isnan (const REAL_VALUE_TYPE *);
193
 
194
/* Determine whether a floating-point value X is negative.  */
195
extern bool real_isneg (const REAL_VALUE_TYPE *);
196
 
197
/* Determine whether a floating-point value X is minus zero.  */
198
extern bool real_isnegzero (const REAL_VALUE_TYPE *);
199
 
200
/* Compare two floating-point objects for bitwise identity.  */
201
extern bool real_identical (const REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *);
202
 
203
/* Extend or truncate to a new mode.  */
204
extern void real_convert (REAL_VALUE_TYPE *, enum machine_mode,
205
                          const REAL_VALUE_TYPE *);
206
 
207
/* Return true if truncating to NEW is exact.  */
208
extern bool exact_real_truncate (enum machine_mode, const REAL_VALUE_TYPE *);
209
 
210
/* Render R as a decimal floating point constant.  */
211
extern void real_to_decimal (char *, const REAL_VALUE_TYPE *, size_t,
212
                             size_t, int);
213
 
214
/* Render R as a hexadecimal floating point constant.  */
215
extern void real_to_hexadecimal (char *, const REAL_VALUE_TYPE *,
216
                                 size_t, size_t, int);
217
 
218
/* Render R as an integer.  */
219
extern HOST_WIDE_INT real_to_integer (const REAL_VALUE_TYPE *);
220
extern void real_to_integer2 (HOST_WIDE_INT *, HOST_WIDE_INT *,
221
                              const REAL_VALUE_TYPE *);
222
 
223
/* Initialize R from a decimal or hexadecimal string.  */
224
extern void real_from_string (REAL_VALUE_TYPE *, const char *);
225
/* Wrapper to allow different internal representation for decimal floats. */
226
extern void real_from_string3 (REAL_VALUE_TYPE *, const char *, enum machine_mode);
227
 
228
/* Initialize R from an integer pair HIGH/LOW.  */
229
extern void real_from_integer (REAL_VALUE_TYPE *, enum machine_mode,
230
                               unsigned HOST_WIDE_INT, HOST_WIDE_INT, int);
231
 
232
extern long real_to_target_fmt (long *, const REAL_VALUE_TYPE *,
233
                                const struct real_format *);
234
extern long real_to_target (long *, const REAL_VALUE_TYPE *, enum machine_mode);
235
 
236
extern void real_from_target_fmt (REAL_VALUE_TYPE *, const long *,
237
                                  const struct real_format *);
238
extern void real_from_target (REAL_VALUE_TYPE *, const long *,
239
                              enum machine_mode);
240
 
241
extern void real_inf (REAL_VALUE_TYPE *);
242
 
243
extern bool real_nan (REAL_VALUE_TYPE *, const char *, int, enum machine_mode);
244
 
245
extern void real_maxval (REAL_VALUE_TYPE *, int, enum machine_mode);
246
 
247
extern void real_2expN (REAL_VALUE_TYPE *, int);
248
 
249
extern unsigned int real_hash (const REAL_VALUE_TYPE *);
250
 
251
 
252
/* Target formats defined in real.c.  */
253
extern const struct real_format ieee_single_format;
254
extern const struct real_format mips_single_format;
255
extern const struct real_format ieee_double_format;
256
extern const struct real_format mips_double_format;
257
extern const struct real_format ieee_extended_motorola_format;
258
extern const struct real_format ieee_extended_intel_96_format;
259
extern const struct real_format ieee_extended_intel_96_round_53_format;
260
extern const struct real_format ieee_extended_intel_128_format;
261
extern const struct real_format ibm_extended_format;
262
extern const struct real_format mips_extended_format;
263
extern const struct real_format ieee_quad_format;
264
extern const struct real_format mips_quad_format;
265
extern const struct real_format vax_f_format;
266
extern const struct real_format vax_d_format;
267
extern const struct real_format vax_g_format;
268
extern const struct real_format i370_single_format;
269
extern const struct real_format i370_double_format;
270
extern const struct real_format c4x_single_format;
271
extern const struct real_format c4x_extended_format;
272
extern const struct real_format real_internal_format;
273
extern const struct real_format decimal_single_format;
274
extern const struct real_format decimal_double_format;
275
extern const struct real_format decimal_quad_format;
276
 
277
 
278
/* ====================================================================== */
279
/* Crap.  */
280
 
281
#define REAL_ARITHMETIC(value, code, d1, d2) \
282
  real_arithmetic (&(value), code, &(d1), &(d2))
283
 
284
#define REAL_VALUES_IDENTICAL(x, y)     real_identical (&(x), &(y))
285
#define REAL_VALUES_EQUAL(x, y)         real_compare (EQ_EXPR, &(x), &(y))
286
#define REAL_VALUES_LESS(x, y)          real_compare (LT_EXPR, &(x), &(y))
287
 
288
/* Determine whether a floating-point value X is infinite.  */
289
#define REAL_VALUE_ISINF(x)             real_isinf (&(x))
290
 
291
/* Determine whether a floating-point value X is a NaN.  */
292
#define REAL_VALUE_ISNAN(x)             real_isnan (&(x))
293
 
294
/* Determine whether a floating-point value X is negative.  */
295
#define REAL_VALUE_NEGATIVE(x)          real_isneg (&(x))
296
 
297
/* Determine whether a floating-point value X is minus zero.  */
298
#define REAL_VALUE_MINUS_ZERO(x)        real_isnegzero (&(x))
299
 
300
/* IN is a REAL_VALUE_TYPE.  OUT is an array of longs.  */
301
#define REAL_VALUE_TO_TARGET_LONG_DOUBLE(IN, OUT)                       \
302
  real_to_target (OUT, &(IN),                                           \
303
                  mode_for_size (LONG_DOUBLE_TYPE_SIZE, MODE_FLOAT, 0))
304
 
305
#define REAL_VALUE_TO_TARGET_DOUBLE(IN, OUT) \
306
  real_to_target (OUT, &(IN), mode_for_size (64, MODE_FLOAT, 0))
307
 
308
/* IN is a REAL_VALUE_TYPE.  OUT is a long.  */
309
#define REAL_VALUE_TO_TARGET_SINGLE(IN, OUT) \
310
  ((OUT) = real_to_target (NULL, &(IN), mode_for_size (32, MODE_FLOAT, 0)))
311
 
312
#define REAL_VALUE_FROM_INT(r, lo, hi, mode) \
313
  real_from_integer (&(r), mode, lo, hi, 0)
314
 
315
#define REAL_VALUE_FROM_UNSIGNED_INT(r, lo, hi, mode) \
316
  real_from_integer (&(r), mode, lo, hi, 1)
317
 
318
/* Real values to IEEE 754R decimal floats.  */
319
 
320
/* IN is a REAL_VALUE_TYPE.  OUT is an array of longs.  */
321
#define REAL_VALUE_TO_TARGET_DECIMAL128(IN, OUT) \
322
  real_to_target (OUT, &(IN), mode_for_size (128, MODE_DECIMAL_FLOAT, 0))
323
 
324
#define REAL_VALUE_TO_TARGET_DECIMAL64(IN, OUT) \
325
  real_to_target (OUT, &(IN), mode_for_size (64, MODE_DECIMAL_FLOAT, 0))
326
 
327
/* IN is a REAL_VALUE_TYPE.  OUT is a long.  */
328
#define REAL_VALUE_TO_TARGET_DECIMAL32(IN, OUT) \
329
  ((OUT) = real_to_target (NULL, &(IN), mode_for_size (32, MODE_DECIMAL_FLOAT, 0)))
330
 
331
extern REAL_VALUE_TYPE real_value_truncate (enum machine_mode,
332
                                            REAL_VALUE_TYPE);
333
 
334
#define REAL_VALUE_TO_INT(plow, phigh, r) \
335
  real_to_integer2 (plow, phigh, &(r))
336
 
337
extern REAL_VALUE_TYPE real_arithmetic2 (int, const REAL_VALUE_TYPE *,
338
                                         const REAL_VALUE_TYPE *);
339
 
340
#define REAL_VALUE_NEGATE(X) \
341
  real_arithmetic2 (NEGATE_EXPR, &(X), NULL)
342
 
343
#define REAL_VALUE_ABS(X) \
344
  real_arithmetic2 (ABS_EXPR, &(X), NULL)
345
 
346
extern int significand_size (enum machine_mode);
347
 
348
extern REAL_VALUE_TYPE real_from_string2 (const char *, enum machine_mode);
349
 
350
#define REAL_VALUE_ATOF(s, m) \
351
  real_from_string2 (s, m)
352
 
353
#define CONST_DOUBLE_ATOF(s, m) \
354
  CONST_DOUBLE_FROM_REAL_VALUE (real_from_string2 (s, m), m)
355
 
356
#define REAL_VALUE_FIX(r) \
357
  real_to_integer (&(r))
358
 
359
/* ??? Not quite right.  */
360
#define REAL_VALUE_UNSIGNED_FIX(r) \
361
  real_to_integer (&(r))
362
 
363
/* ??? These were added for Paranoia support.  */
364
 
365
/* Return floor log2(R).  */
366
extern int real_exponent (const REAL_VALUE_TYPE *);
367
 
368
/* R = A * 2**EXP.  */
369
extern void real_ldexp (REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *, int);
370
 
371
/* **** End of software floating point emulator interface macros **** */
372
 
373
/* Constant real values 0, 1, 2, 3, 10, -1, -2, 0.5 and 1/3.  */
374
 
375
extern REAL_VALUE_TYPE dconst0;
376
extern REAL_VALUE_TYPE dconst1;
377
extern REAL_VALUE_TYPE dconst2;
378
extern REAL_VALUE_TYPE dconst3;
379
extern REAL_VALUE_TYPE dconst10;
380
extern REAL_VALUE_TYPE dconstm1;
381
extern REAL_VALUE_TYPE dconstm2;
382
extern REAL_VALUE_TYPE dconsthalf;
383
extern REAL_VALUE_TYPE dconstthird;
384
extern REAL_VALUE_TYPE dconstpi;
385
extern REAL_VALUE_TYPE dconste;
386
 
387
/* Function to return a real value (not a tree node)
388
   from a given integer constant.  */
389
REAL_VALUE_TYPE real_value_from_int_cst (tree, tree);
390
 
391
/* Given a CONST_DOUBLE in FROM, store into TO the value it represents.  */
392
#define REAL_VALUE_FROM_CONST_DOUBLE(to, from) \
393
  ((to) = *CONST_DOUBLE_REAL_VALUE (from))
394
 
395
/* Return a CONST_DOUBLE with value R and mode M.  */
396
#define CONST_DOUBLE_FROM_REAL_VALUE(r, m) \
397
  const_double_from_real_value (r, m)
398
extern rtx const_double_from_real_value (REAL_VALUE_TYPE, enum machine_mode);
399
 
400
/* Replace R by 1/R in the given machine mode, if the result is exact.  */
401
extern bool exact_real_inverse (enum machine_mode, REAL_VALUE_TYPE *);
402
 
403
/* In tree.c: wrap up a REAL_VALUE_TYPE in a tree node.  */
404
extern tree build_real (tree, REAL_VALUE_TYPE);
405
 
406
/* Calculate R as the square root of X in the given machine mode.  */
407
extern bool real_sqrt (REAL_VALUE_TYPE *, enum machine_mode,
408
                       const REAL_VALUE_TYPE *);
409
 
410
/* Calculate R as X raised to the integer exponent N in mode MODE.  */
411
extern bool real_powi (REAL_VALUE_TYPE *, enum machine_mode,
412
                       const REAL_VALUE_TYPE *, HOST_WIDE_INT);
413
 
414
/* Standard round to integer value functions.  */
415
extern void real_trunc (REAL_VALUE_TYPE *, enum machine_mode,
416
                        const REAL_VALUE_TYPE *);
417
extern void real_floor (REAL_VALUE_TYPE *, enum machine_mode,
418
                        const REAL_VALUE_TYPE *);
419
extern void real_ceil (REAL_VALUE_TYPE *, enum machine_mode,
420
                       const REAL_VALUE_TYPE *);
421
extern void real_round (REAL_VALUE_TYPE *, enum machine_mode,
422
                        const REAL_VALUE_TYPE *);
423
 
424
/* Set the sign of R to the sign of X.  */
425
extern void real_copysign (REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *);
426
 
427
#endif /* ! GCC_REAL_H */

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