1 /* Definitions of floating-point access for GNU compiler.
2 Copyright (C) 1989, 1991, 1994, 1996, 1997, 1998, 1999,
3 2000, 2002, 2003, 2004, 2005, 2007, 2008 Free Software Foundation, Inc.
5 This file is part of GCC.
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
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
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/>. */
24 #ifndef GENERATOR_FILE
30 /* An expanded form of the represented number. */
32 /* Enumerate the special cases of numbers that we encounter. */
33 enum real_value_class {
40 #define SIGNIFICAND_BITS (128 + HOST_BITS_PER_LONG)
41 #define EXP_BITS (32 - 6)
42 #define MAX_EXP ((1 << (EXP_BITS - 1)) - 1)
43 #define SIGSZ (SIGNIFICAND_BITS / HOST_BITS_PER_LONG)
44 #define SIG_MSB ((unsigned long)1 << (HOST_BITS_PER_LONG - 1))
46 struct GTY(()) real_value {
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
50 unsigned int /* ENUM_BITFIELD (real_value_class) */ cl : 2;
51 unsigned int decimal : 1;
52 unsigned int sign : 1;
53 unsigned int signalling : 1;
54 unsigned int canonical : 1;
55 unsigned int uexp : EXP_BITS;
56 unsigned long sig[SIGSZ];
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)))
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
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. */
74 #define REAL_VALUE_TYPE_SIZE (SIGNIFICAND_BITS + 32)
76 (REAL_VALUE_TYPE_SIZE/HOST_BITS_PER_WIDE_INT \
77 + (REAL_VALUE_TYPE_SIZE%HOST_BITS_PER_WIDE_INT ? 1 : 0)) /* round up */
79 /* Verify the guess. */
80 extern char test_real_width
81 [sizeof(REAL_VALUE_TYPE) <= REAL_WIDTH*sizeof(HOST_WIDE_INT) ? 1 : -1];
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
85 as many as four (32-bit HOST_WIDE_INT, 128-bit REAL_VALUE_TYPE).
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. */
91 # define CONST_DOUBLE_FORMAT "ww"
94 # define CONST_DOUBLE_FORMAT "ww"
97 # define CONST_DOUBLE_FORMAT "www"
100 # define CONST_DOUBLE_FORMAT "wwww"
103 # define CONST_DOUBLE_FORMAT "wwwww"
106 # define CONST_DOUBLE_FORMAT "wwwwww"
108 #error "REAL_WIDTH > 6 not supported"
117 /* Describes the properties of the specific target format in use. */
120 /* Move to and from the target bytes. */
121 void (*encode) (const struct real_format *, long *,
122 const REAL_VALUE_TYPE *);
123 void (*decode) (const struct real_format *, REAL_VALUE_TYPE *,
126 /* The radix of the exponent and digits of the significand. */
129 /* Size of the significand in digits of radix B. */
132 /* Size of the significant of a NaN, in digits of radix B. */
135 /* The minimum negative integer, x, such that b**(x-1) is normalized. */
138 /* The maximum integer, x, such that b**(x-1) is representable. */
141 /* The bit position of the sign bit, for determining whether a value
142 is positive/negative, or -1 for a complex encoding. */
145 /* The bit position of the sign bit, for changing the sign of a number,
146 or -1 for a complex encoding. */
149 /* Default rounding mode for operations on this format. */
150 bool round_towards_zero;
151 bool has_sign_dependent_rounding;
153 /* Properties of the format. */
157 bool has_signed_zero;
159 bool canonical_nan_lsbs_set;
163 /* The target format used for each floating point mode.
164 Float modes are followed by decimal float modes, with entries for
165 float modes indexed by (MODE - first float mode), and entries for
166 decimal float modes indexed by (MODE - first decimal float mode) +
167 the number of float modes. */
168 extern const struct real_format *
169 real_format_for_mode[MAX_MODE_FLOAT - MIN_MODE_FLOAT + 1
170 + MAX_MODE_DECIMAL_FLOAT - MIN_MODE_DECIMAL_FLOAT + 1];
172 #define REAL_MODE_FORMAT(MODE) \
173 (real_format_for_mode[DECIMAL_FLOAT_MODE_P (MODE) \
174 ? (((MODE) - MIN_MODE_DECIMAL_FLOAT) \
175 + (MAX_MODE_FLOAT - MIN_MODE_FLOAT + 1)) \
176 : ((MODE) - MIN_MODE_FLOAT)])
178 #define FLOAT_MODE_FORMAT(MODE) \
179 (REAL_MODE_FORMAT (SCALAR_FLOAT_MODE_P (MODE)? (MODE) \
180 : GET_MODE_INNER (MODE)))
182 /* The following macro determines whether the floating point format is
183 composite, i.e. may contain non-consecutive mantissa bits, in which
184 case compile-time FP overflow may not model run-time overflow. */
185 #define MODE_COMPOSITE_P(MODE) \
186 (FLOAT_MODE_P (MODE) \
187 && FLOAT_MODE_FORMAT (MODE)->pnan < FLOAT_MODE_FORMAT (MODE)->p)
189 /* Accessor macros for format properties. */
190 #define MODE_HAS_NANS(MODE) \
191 (FLOAT_MODE_P (MODE) && FLOAT_MODE_FORMAT (MODE)->has_nans)
192 #define MODE_HAS_INFINITIES(MODE) \
193 (FLOAT_MODE_P (MODE) && FLOAT_MODE_FORMAT (MODE)->has_inf)
194 #define MODE_HAS_SIGNED_ZEROS(MODE) \
195 (FLOAT_MODE_P (MODE) && FLOAT_MODE_FORMAT (MODE)->has_signed_zero)
196 #define MODE_HAS_SIGN_DEPENDENT_ROUNDING(MODE) \
197 (FLOAT_MODE_P (MODE) \
198 && FLOAT_MODE_FORMAT (MODE)->has_sign_dependent_rounding)
201 /* Declare functions in real.c. */
203 /* Binary or unary arithmetic on tree_code. */
204 extern bool real_arithmetic (REAL_VALUE_TYPE *, int, const REAL_VALUE_TYPE *,
205 const REAL_VALUE_TYPE *);
207 /* Compare reals by tree_code. */
208 extern bool real_compare (int, const REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *);
210 /* Determine whether a floating-point value X is infinite. */
211 extern bool real_isinf (const REAL_VALUE_TYPE *);
213 /* Determine whether a floating-point value X is a NaN. */
214 extern bool real_isnan (const REAL_VALUE_TYPE *);
216 /* Determine whether a floating-point value X is finite. */
217 extern bool real_isfinite (const REAL_VALUE_TYPE *);
219 /* Determine whether a floating-point value X is negative. */
220 extern bool real_isneg (const REAL_VALUE_TYPE *);
222 /* Determine whether a floating-point value X is minus zero. */
223 extern bool real_isnegzero (const REAL_VALUE_TYPE *);
225 /* Compare two floating-point objects for bitwise identity. */
226 extern bool real_identical (const REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *);
228 /* Extend or truncate to a new mode. */
229 extern void real_convert (REAL_VALUE_TYPE *, enum machine_mode,
230 const REAL_VALUE_TYPE *);
232 /* Return true if truncating to NEW is exact. */
233 extern bool exact_real_truncate (enum machine_mode, const REAL_VALUE_TYPE *);
235 /* Render R as a decimal floating point constant. */
236 extern void real_to_decimal (char *, const REAL_VALUE_TYPE *, size_t,
239 /* Render R as a decimal floating point constant, rounded so as to be
240 parsed back to the same value when interpreted in mode MODE. */
241 extern void real_to_decimal_for_mode (char *, const REAL_VALUE_TYPE *, size_t,
242 size_t, int, enum machine_mode);
244 /* Render R as a hexadecimal floating point constant. */
245 extern void real_to_hexadecimal (char *, const REAL_VALUE_TYPE *,
246 size_t, size_t, int);
248 /* Render R as an integer. */
249 extern HOST_WIDE_INT real_to_integer (const REAL_VALUE_TYPE *);
250 extern void real_to_integer2 (HOST_WIDE_INT *, HOST_WIDE_INT *,
251 const REAL_VALUE_TYPE *);
253 /* Initialize R from a decimal or hexadecimal string. Return -1 if
254 the value underflows, +1 if overflows, and 0 otherwise. */
255 extern int real_from_string (REAL_VALUE_TYPE *, const char *);
256 /* Wrapper to allow different internal representation for decimal floats. */
257 extern void real_from_string3 (REAL_VALUE_TYPE *, const char *, enum machine_mode);
259 /* Initialize R from an integer pair HIGH/LOW. */
260 extern void real_from_integer (REAL_VALUE_TYPE *, enum machine_mode,
261 unsigned HOST_WIDE_INT, HOST_WIDE_INT, int);
263 extern long real_to_target_fmt (long *, const REAL_VALUE_TYPE *,
264 const struct real_format *);
265 extern long real_to_target (long *, const REAL_VALUE_TYPE *, enum machine_mode);
267 extern void real_from_target_fmt (REAL_VALUE_TYPE *, const long *,
268 const struct real_format *);
269 extern void real_from_target (REAL_VALUE_TYPE *, const long *,
272 extern void real_inf (REAL_VALUE_TYPE *);
274 extern bool real_nan (REAL_VALUE_TYPE *, const char *, int, enum machine_mode);
276 extern void real_maxval (REAL_VALUE_TYPE *, int, enum machine_mode);
278 extern void real_2expN (REAL_VALUE_TYPE *, int, enum machine_mode);
280 extern unsigned int real_hash (const REAL_VALUE_TYPE *);
283 /* Target formats defined in real.c. */
284 extern const struct real_format ieee_single_format;
285 extern const struct real_format mips_single_format;
286 extern const struct real_format motorola_single_format;
287 extern const struct real_format spu_single_format;
288 extern const struct real_format ieee_double_format;
289 extern const struct real_format mips_double_format;
290 extern const struct real_format motorola_double_format;
291 extern const struct real_format ieee_extended_motorola_format;
292 extern const struct real_format ieee_extended_intel_96_format;
293 extern const struct real_format ieee_extended_intel_96_round_53_format;
294 extern const struct real_format ieee_extended_intel_128_format;
295 extern const struct real_format ibm_extended_format;
296 extern const struct real_format mips_extended_format;
297 extern const struct real_format ieee_quad_format;
298 extern const struct real_format mips_quad_format;
299 extern const struct real_format vax_f_format;
300 extern const struct real_format vax_d_format;
301 extern const struct real_format vax_g_format;
302 extern const struct real_format real_internal_format;
303 extern const struct real_format decimal_single_format;
304 extern const struct real_format decimal_double_format;
305 extern const struct real_format decimal_quad_format;
306 extern const struct real_format ieee_half_format;
307 extern const struct real_format arm_half_format;
310 /* ====================================================================== */
313 #define REAL_ARITHMETIC(value, code, d1, d2) \
314 real_arithmetic (&(value), code, &(d1), &(d2))
316 #define REAL_VALUES_IDENTICAL(x, y) real_identical (&(x), &(y))
317 #define REAL_VALUES_EQUAL(x, y) real_compare (EQ_EXPR, &(x), &(y))
318 #define REAL_VALUES_LESS(x, y) real_compare (LT_EXPR, &(x), &(y))
320 /* Determine whether a floating-point value X is infinite. */
321 #define REAL_VALUE_ISINF(x) real_isinf (&(x))
323 /* Determine whether a floating-point value X is a NaN. */
324 #define REAL_VALUE_ISNAN(x) real_isnan (&(x))
326 /* Determine whether a floating-point value X is negative. */
327 #define REAL_VALUE_NEGATIVE(x) real_isneg (&(x))
329 /* Determine whether a floating-point value X is minus zero. */
330 #define REAL_VALUE_MINUS_ZERO(x) real_isnegzero (&(x))
332 /* IN is a REAL_VALUE_TYPE. OUT is an array of longs. */
333 #define REAL_VALUE_TO_TARGET_LONG_DOUBLE(IN, OUT) \
334 real_to_target (OUT, &(IN), \
335 mode_for_size (LONG_DOUBLE_TYPE_SIZE, MODE_FLOAT, 0))
337 #define REAL_VALUE_TO_TARGET_DOUBLE(IN, OUT) \
338 real_to_target (OUT, &(IN), mode_for_size (64, MODE_FLOAT, 0))
340 /* IN is a REAL_VALUE_TYPE. OUT is a long. */
341 #define REAL_VALUE_TO_TARGET_SINGLE(IN, OUT) \
342 ((OUT) = real_to_target (NULL, &(IN), mode_for_size (32, MODE_FLOAT, 0)))
344 #define REAL_VALUE_FROM_INT(r, lo, hi, mode) \
345 real_from_integer (&(r), mode, lo, hi, 0)
347 #define REAL_VALUE_FROM_UNSIGNED_INT(r, lo, hi, mode) \
348 real_from_integer (&(r), mode, lo, hi, 1)
350 /* Real values to IEEE 754 decimal floats. */
352 /* IN is a REAL_VALUE_TYPE. OUT is an array of longs. */
353 #define REAL_VALUE_TO_TARGET_DECIMAL128(IN, OUT) \
354 real_to_target (OUT, &(IN), mode_for_size (128, MODE_DECIMAL_FLOAT, 0))
356 #define REAL_VALUE_TO_TARGET_DECIMAL64(IN, OUT) \
357 real_to_target (OUT, &(IN), mode_for_size (64, MODE_DECIMAL_FLOAT, 0))
359 /* IN is a REAL_VALUE_TYPE. OUT is a long. */
360 #define REAL_VALUE_TO_TARGET_DECIMAL32(IN, OUT) \
361 ((OUT) = real_to_target (NULL, &(IN), mode_for_size (32, MODE_DECIMAL_FLOAT, 0)))
363 extern REAL_VALUE_TYPE real_value_truncate (enum machine_mode,
366 #define REAL_VALUE_TO_INT(plow, phigh, r) \
367 real_to_integer2 (plow, phigh, &(r))
369 extern REAL_VALUE_TYPE real_arithmetic2 (int, const REAL_VALUE_TYPE *,
370 const REAL_VALUE_TYPE *);
372 #define REAL_VALUE_NEGATE(X) \
373 real_arithmetic2 (NEGATE_EXPR, &(X), NULL)
375 #define REAL_VALUE_ABS(X) \
376 real_arithmetic2 (ABS_EXPR, &(X), NULL)
378 extern int significand_size (enum machine_mode);
380 extern REAL_VALUE_TYPE real_from_string2 (const char *, enum machine_mode);
382 #define REAL_VALUE_ATOF(s, m) \
383 real_from_string2 (s, m)
385 #define CONST_DOUBLE_ATOF(s, m) \
386 CONST_DOUBLE_FROM_REAL_VALUE (real_from_string2 (s, m), m)
388 #define REAL_VALUE_FIX(r) \
389 real_to_integer (&(r))
391 /* ??? Not quite right. */
392 #define REAL_VALUE_UNSIGNED_FIX(r) \
393 real_to_integer (&(r))
395 /* ??? These were added for Paranoia support. */
397 /* Return floor log2(R). */
398 extern int real_exponent (const REAL_VALUE_TYPE *);
400 /* R = A * 2**EXP. */
401 extern void real_ldexp (REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *, int);
403 /* **** End of software floating point emulator interface macros **** */
405 /* Constant real values 0, 1, 2, -1 and 0.5. */
407 extern REAL_VALUE_TYPE dconst0;
408 extern REAL_VALUE_TYPE dconst1;
409 extern REAL_VALUE_TYPE dconst2;
410 extern REAL_VALUE_TYPE dconstm1;
411 extern REAL_VALUE_TYPE dconsthalf;
413 #define dconst_e() (*dconst_e_ptr ())
414 #define dconst_third() (*dconst_third_ptr ())
415 #define dconst_sqrt2() (*dconst_sqrt2_ptr ())
417 /* Function to return the real value special constant 'e'. */
418 extern const REAL_VALUE_TYPE * dconst_e_ptr (void);
420 /* Returns the special REAL_VALUE_TYPE corresponding to 1/3. */
421 extern const REAL_VALUE_TYPE * dconst_third_ptr (void);
423 /* Returns the special REAL_VALUE_TYPE corresponding to sqrt(2). */
424 extern const REAL_VALUE_TYPE * dconst_sqrt2_ptr (void);
426 /* Function to return a real value (not a tree node)
427 from a given integer constant. */
428 REAL_VALUE_TYPE real_value_from_int_cst (const_tree, const_tree);
430 /* Given a CONST_DOUBLE in FROM, store into TO the value it represents. */
431 #define REAL_VALUE_FROM_CONST_DOUBLE(to, from) \
432 ((to) = *CONST_DOUBLE_REAL_VALUE (from))
434 /* Return a CONST_DOUBLE with value R and mode M. */
435 #define CONST_DOUBLE_FROM_REAL_VALUE(r, m) \
436 const_double_from_real_value (r, m)
437 extern rtx const_double_from_real_value (REAL_VALUE_TYPE, enum machine_mode);
439 /* Replace R by 1/R in the given machine mode, if the result is exact. */
440 extern bool exact_real_inverse (enum machine_mode, REAL_VALUE_TYPE *);
442 /* Return true if arithmetic on values in IMODE that were promoted
443 from values in TMODE is equivalent to direct arithmetic on values
445 bool real_can_shorten_arithmetic (enum machine_mode, enum machine_mode);
447 /* In tree.c: wrap up a REAL_VALUE_TYPE in a tree node. */
448 extern tree build_real (tree, REAL_VALUE_TYPE);
450 /* Calculate R as the square root of X in the given machine mode. */
451 extern bool real_sqrt (REAL_VALUE_TYPE *, enum machine_mode,
452 const REAL_VALUE_TYPE *);
454 /* Calculate R as X raised to the integer exponent N in mode MODE. */
455 extern bool real_powi (REAL_VALUE_TYPE *, enum machine_mode,
456 const REAL_VALUE_TYPE *, HOST_WIDE_INT);
458 /* Standard round to integer value functions. */
459 extern void real_trunc (REAL_VALUE_TYPE *, enum machine_mode,
460 const REAL_VALUE_TYPE *);
461 extern void real_floor (REAL_VALUE_TYPE *, enum machine_mode,
462 const REAL_VALUE_TYPE *);
463 extern void real_ceil (REAL_VALUE_TYPE *, enum machine_mode,
464 const REAL_VALUE_TYPE *);
465 extern void real_round (REAL_VALUE_TYPE *, enum machine_mode,
466 const REAL_VALUE_TYPE *);
468 /* Set the sign of R to the sign of X. */
469 extern void real_copysign (REAL_VALUE_TYPE *, const REAL_VALUE_TYPE *);
471 #ifndef GENERATOR_FILE
472 /* Convert between MPFR and REAL_VALUE_TYPE. The caller is
473 responsible for initializing and clearing the MPFR parameter. */
475 extern void real_from_mpfr (REAL_VALUE_TYPE *, mpfr_srcptr, tree, mp_rnd_t);
476 extern void mpfr_from_real (mpfr_ptr, const REAL_VALUE_TYPE *, mp_rnd_t);
479 /* Check whether the real constant value given is an integer. */
480 extern bool real_isinteger (const REAL_VALUE_TYPE *c, enum machine_mode mode);
482 /* Write into BUF the maximum representable finite floating-point
483 number, (1 - b**-p) * b**emax for a given FP format FMT as a hex
484 float string. BUF must be large enough to contain the result. */
485 extern void get_max_float (const struct real_format *, char *, size_t);
486 #endif /* ! GCC_REAL_H */