1 /* Definitions of floating-point access for GNU compiler.
2 Copyright (C) 1989-2015 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/>. */
23 /* An expanded form of the represented number. */
25 /* Enumerate the special cases of numbers that we encounter. */
26 enum real_value_class
{
33 #define SIGNIFICAND_BITS (128 + HOST_BITS_PER_LONG)
34 #define EXP_BITS (32 - 6)
35 #define MAX_EXP ((1 << (EXP_BITS - 1)) - 1)
36 #define SIGSZ (SIGNIFICAND_BITS / HOST_BITS_PER_LONG)
37 #define SIG_MSB ((unsigned long)1 << (HOST_BITS_PER_LONG - 1))
39 struct GTY(()) real_value
{
40 /* Use the same underlying type for all bit-fields, so as to make
41 sure they're packed together, otherwise REAL_VALUE_TYPE_SIZE will
43 unsigned int /* ENUM_BITFIELD (real_value_class) */ cl
: 2;
44 unsigned int decimal
: 1;
45 unsigned int sign
: 1;
46 unsigned int signalling
: 1;
47 unsigned int canonical
: 1;
48 unsigned int uexp
: EXP_BITS
;
49 unsigned long sig
[SIGSZ
];
52 #define REAL_EXP(REAL) \
53 ((int)((REAL)->uexp ^ (unsigned int)(1 << (EXP_BITS - 1))) \
54 - (1 << (EXP_BITS - 1)))
55 #define SET_REAL_EXP(REAL, EXP) \
56 ((REAL)->uexp = ((unsigned int)(EXP) & (unsigned int)((1 << EXP_BITS) - 1)))
58 /* Various headers condition prototypes on #ifdef REAL_VALUE_TYPE, so it
59 needs to be a macro. We do need to continue to have a structure tag
60 so that other headers can forward declare it. */
61 #define REAL_VALUE_TYPE struct real_value
63 /* We store a REAL_VALUE_TYPE into an rtx, and we do this by putting it in
64 consecutive "w" slots. Moreover, we've got to compute the number of "w"
65 slots at preprocessor time, which means we can't use sizeof. Guess. */
67 #define REAL_VALUE_TYPE_SIZE (SIGNIFICAND_BITS + 32)
69 (REAL_VALUE_TYPE_SIZE/HOST_BITS_PER_WIDE_INT \
70 + (REAL_VALUE_TYPE_SIZE%HOST_BITS_PER_WIDE_INT ? 1 : 0)) /* round up */
72 /* Verify the guess. */
73 extern char test_real_width
74 [sizeof (REAL_VALUE_TYPE
) <= REAL_WIDTH
* sizeof (HOST_WIDE_INT
) ? 1 : -1];
76 /* Calculate the format for CONST_DOUBLE. We need as many slots as
77 are necessary to overlay a REAL_VALUE_TYPE on them. This could be
78 as many as four (32-bit HOST_WIDE_INT, 128-bit REAL_VALUE_TYPE).
80 A number of places assume that there are always at least two 'w'
81 slots in a CONST_DOUBLE, so we provide them even if one would suffice. */
84 # define CONST_DOUBLE_FORMAT "ww"
87 # define CONST_DOUBLE_FORMAT "ww"
90 # define CONST_DOUBLE_FORMAT "www"
93 # define CONST_DOUBLE_FORMAT "wwww"
96 # define CONST_DOUBLE_FORMAT "wwwww"
99 # define CONST_DOUBLE_FORMAT "wwwwww"
101 #error "REAL_WIDTH > 6 not supported"
110 /* Describes the properties of the specific target format in use. */
113 /* Move to and from the target bytes. */
114 void (*encode
) (const struct real_format
*, long *,
115 const REAL_VALUE_TYPE
*);
116 void (*decode
) (const struct real_format
*, REAL_VALUE_TYPE
*,
119 /* The radix of the exponent and digits of the significand. */
122 /* Size of the significand in digits of radix B. */
125 /* Size of the significant of a NaN, in digits of radix B. */
128 /* The minimum negative integer, x, such that b**(x-1) is normalized. */
131 /* The maximum integer, x, such that b**(x-1) is representable. */
134 /* The bit position of the sign bit, for determining whether a value
135 is positive/negative, or -1 for a complex encoding. */
138 /* The bit position of the sign bit, for changing the sign of a number,
139 or -1 for a complex encoding. */
142 /* Default rounding mode for operations on this format. */
143 bool round_towards_zero
;
144 bool has_sign_dependent_rounding
;
146 /* Properties of the format. */
150 bool has_signed_zero
;
152 bool canonical_nan_lsbs_set
;
157 /* The target format used for each floating point mode.
158 Float modes are followed by decimal float modes, with entries for
159 float modes indexed by (MODE - first float mode), and entries for
160 decimal float modes indexed by (MODE - first decimal float mode) +
161 the number of float modes. */
162 extern const struct real_format
*
163 real_format_for_mode
[MAX_MODE_FLOAT
- MIN_MODE_FLOAT
+ 1
164 + MAX_MODE_DECIMAL_FLOAT
- MIN_MODE_DECIMAL_FLOAT
+ 1];
166 #define REAL_MODE_FORMAT(MODE) \
167 (real_format_for_mode[DECIMAL_FLOAT_MODE_P (MODE) \
168 ? (((MODE) - MIN_MODE_DECIMAL_FLOAT) \
169 + (MAX_MODE_FLOAT - MIN_MODE_FLOAT + 1)) \
170 : GET_MODE_CLASS (MODE) == MODE_FLOAT \
171 ? ((MODE) - MIN_MODE_FLOAT) \
172 : (gcc_unreachable (), 0)])
174 #define FLOAT_MODE_FORMAT(MODE) \
175 (REAL_MODE_FORMAT (SCALAR_FLOAT_MODE_P (MODE)? (MODE) \
176 : GET_MODE_INNER (MODE)))
178 /* The following macro determines whether the floating point format is
179 composite, i.e. may contain non-consecutive mantissa bits, in which
180 case compile-time FP overflow may not model run-time overflow. */
181 #define MODE_COMPOSITE_P(MODE) \
182 (FLOAT_MODE_P (MODE) \
183 && FLOAT_MODE_FORMAT (MODE)->pnan < FLOAT_MODE_FORMAT (MODE)->p)
185 /* Accessor macros for format properties. */
186 #define MODE_HAS_NANS(MODE) \
187 (FLOAT_MODE_P (MODE) && FLOAT_MODE_FORMAT (MODE)->has_nans)
188 #define MODE_HAS_INFINITIES(MODE) \
189 (FLOAT_MODE_P (MODE) && FLOAT_MODE_FORMAT (MODE)->has_inf)
190 #define MODE_HAS_SIGNED_ZEROS(MODE) \
191 (FLOAT_MODE_P (MODE) && FLOAT_MODE_FORMAT (MODE)->has_signed_zero)
192 #define MODE_HAS_SIGN_DEPENDENT_ROUNDING(MODE) \
193 (FLOAT_MODE_P (MODE) \
194 && FLOAT_MODE_FORMAT (MODE)->has_sign_dependent_rounding)
196 /* This class allows functions in this file to accept a floating-point
197 format as either a mode or an explicit real_format pointer. In the
198 former case the mode must be VOIDmode (which means "no particular
199 format") or must satisfy SCALAR_FLOAT_MODE_P. */
203 format_helper (const real_format
*format
) : m_format (format
) {}
204 format_helper (machine_mode m
);
205 const real_format
*operator-> () const { return m_format
; }
206 operator const real_format
*() const { return m_format
; }
208 bool decimal_p () const { return m_format
&& m_format
->b
== 10; }
211 const real_format
*m_format
;
214 inline format_helper::format_helper (machine_mode m
)
215 : m_format (m
== VOIDmode
? 0 : REAL_MODE_FORMAT (m
))
218 /* Declare functions in real.c. */
220 /* True if the given mode has a NaN representation and the treatment of
221 NaN operands is important. Certain optimizations, such as folding
222 x * 0 into 0, are not correct for NaN operands, and are normally
223 disabled for modes with NaNs. The user can ask for them to be
224 done anyway using the -funsafe-math-optimizations switch. */
225 extern bool HONOR_NANS (machine_mode
);
226 extern bool HONOR_NANS (const_tree
);
227 extern bool HONOR_NANS (const_rtx
);
229 /* Like HONOR_NANs, but true if we honor signaling NaNs (or sNaNs). */
230 extern bool HONOR_SNANS (machine_mode
);
231 extern bool HONOR_SNANS (const_tree
);
232 extern bool HONOR_SNANS (const_rtx
);
234 /* As for HONOR_NANS, but true if the mode can represent infinity and
235 the treatment of infinite values is important. */
236 extern bool HONOR_INFINITIES (machine_mode
);
237 extern bool HONOR_INFINITIES (const_tree
);
238 extern bool HONOR_INFINITIES (const_rtx
);
240 /* Like HONOR_NANS, but true if the given mode distinguishes between
241 positive and negative zero, and the sign of zero is important. */
242 extern bool HONOR_SIGNED_ZEROS (machine_mode
);
243 extern bool HONOR_SIGNED_ZEROS (const_tree
);
244 extern bool HONOR_SIGNED_ZEROS (const_rtx
);
246 /* Like HONOR_NANS, but true if given mode supports sign-dependent rounding,
247 and the rounding mode is important. */
248 extern bool HONOR_SIGN_DEPENDENT_ROUNDING (machine_mode
);
249 extern bool HONOR_SIGN_DEPENDENT_ROUNDING (const_tree
);
250 extern bool HONOR_SIGN_DEPENDENT_ROUNDING (const_rtx
);
252 /* Binary or unary arithmetic on tree_code. */
253 extern bool real_arithmetic (REAL_VALUE_TYPE
*, int, const REAL_VALUE_TYPE
*,
254 const REAL_VALUE_TYPE
*);
256 /* Compare reals by tree_code. */
257 extern bool real_compare (int, const REAL_VALUE_TYPE
*, const REAL_VALUE_TYPE
*);
259 /* Determine whether a floating-point value X is infinite. */
260 extern bool real_isinf (const REAL_VALUE_TYPE
*);
262 /* Determine whether a floating-point value X is a NaN. */
263 extern bool real_isnan (const REAL_VALUE_TYPE
*);
265 /* Determine whether a floating-point value X is finite. */
266 extern bool real_isfinite (const REAL_VALUE_TYPE
*);
268 /* Determine whether a floating-point value X is negative. */
269 extern bool real_isneg (const REAL_VALUE_TYPE
*);
271 /* Determine whether a floating-point value X is minus zero. */
272 extern bool real_isnegzero (const REAL_VALUE_TYPE
*);
274 /* Test relationships between reals. */
275 extern bool real_identical (const REAL_VALUE_TYPE
*, const REAL_VALUE_TYPE
*);
276 extern bool real_equal (const REAL_VALUE_TYPE
*, const REAL_VALUE_TYPE
*);
277 extern bool real_less (const REAL_VALUE_TYPE
*, const REAL_VALUE_TYPE
*);
279 /* Extend or truncate to a new format. */
280 extern void real_convert (REAL_VALUE_TYPE
*, format_helper
,
281 const REAL_VALUE_TYPE
*);
283 /* Return true if truncating to NEW is exact. */
284 extern bool exact_real_truncate (format_helper
, const REAL_VALUE_TYPE
*);
286 /* Render R as a decimal floating point constant. */
287 extern void real_to_decimal (char *, const REAL_VALUE_TYPE
*, size_t,
290 /* Render R as a decimal floating point constant, rounded so as to be
291 parsed back to the same value when interpreted in mode MODE. */
292 extern void real_to_decimal_for_mode (char *, const REAL_VALUE_TYPE
*, size_t,
293 size_t, int, machine_mode
);
295 /* Render R as a hexadecimal floating point constant. */
296 extern void real_to_hexadecimal (char *, const REAL_VALUE_TYPE
*,
297 size_t, size_t, int);
299 /* Render R as an integer. */
300 extern HOST_WIDE_INT
real_to_integer (const REAL_VALUE_TYPE
*);
302 /* Initialize R from a decimal or hexadecimal string. Return -1 if
303 the value underflows, +1 if overflows, and 0 otherwise. */
304 extern int real_from_string (REAL_VALUE_TYPE
*, const char *);
305 /* Wrapper to allow different internal representation for decimal floats. */
306 extern void real_from_string3 (REAL_VALUE_TYPE
*, const char *, format_helper
);
308 extern long real_to_target (long *, const REAL_VALUE_TYPE
*, format_helper
);
310 extern void real_from_target (REAL_VALUE_TYPE
*, const long *,
313 extern void real_inf (REAL_VALUE_TYPE
*);
315 extern bool real_nan (REAL_VALUE_TYPE
*, const char *, int, format_helper
);
317 extern void real_maxval (REAL_VALUE_TYPE
*, int, machine_mode
);
319 extern void real_2expN (REAL_VALUE_TYPE
*, int, format_helper
);
321 extern unsigned int real_hash (const REAL_VALUE_TYPE
*);
324 /* Target formats defined in real.c. */
325 extern const struct real_format ieee_single_format
;
326 extern const struct real_format mips_single_format
;
327 extern const struct real_format motorola_single_format
;
328 extern const struct real_format spu_single_format
;
329 extern const struct real_format ieee_double_format
;
330 extern const struct real_format mips_double_format
;
331 extern const struct real_format motorola_double_format
;
332 extern const struct real_format ieee_extended_motorola_format
;
333 extern const struct real_format ieee_extended_intel_96_format
;
334 extern const struct real_format ieee_extended_intel_96_round_53_format
;
335 extern const struct real_format ieee_extended_intel_128_format
;
336 extern const struct real_format ibm_extended_format
;
337 extern const struct real_format mips_extended_format
;
338 extern const struct real_format ieee_quad_format
;
339 extern const struct real_format mips_quad_format
;
340 extern const struct real_format vax_f_format
;
341 extern const struct real_format vax_d_format
;
342 extern const struct real_format vax_g_format
;
343 extern const struct real_format real_internal_format
;
344 extern const struct real_format decimal_single_format
;
345 extern const struct real_format decimal_double_format
;
346 extern const struct real_format decimal_quad_format
;
347 extern const struct real_format ieee_half_format
;
348 extern const struct real_format arm_half_format
;
351 /* ====================================================================== */
354 /* Determine whether a floating-point value X is infinite. */
355 #define REAL_VALUE_ISINF(x) real_isinf (&(x))
357 /* Determine whether a floating-point value X is a NaN. */
358 #define REAL_VALUE_ISNAN(x) real_isnan (&(x))
360 /* Determine whether a floating-point value X is negative. */
361 #define REAL_VALUE_NEGATIVE(x) real_isneg (&(x))
363 /* Determine whether a floating-point value X is minus zero. */
364 #define REAL_VALUE_MINUS_ZERO(x) real_isnegzero (&(x))
366 /* IN is a REAL_VALUE_TYPE. OUT is an array of longs. */
367 #define REAL_VALUE_TO_TARGET_LONG_DOUBLE(IN, OUT) \
368 real_to_target (OUT, &(IN), \
369 mode_for_size (LONG_DOUBLE_TYPE_SIZE, MODE_FLOAT, 0))
371 #define REAL_VALUE_TO_TARGET_DOUBLE(IN, OUT) \
372 real_to_target (OUT, &(IN), mode_for_size (64, MODE_FLOAT, 0))
374 /* IN is a REAL_VALUE_TYPE. OUT is a long. */
375 #define REAL_VALUE_TO_TARGET_SINGLE(IN, OUT) \
376 ((OUT) = real_to_target (NULL, &(IN), mode_for_size (32, MODE_FLOAT, 0)))
378 /* Real values to IEEE 754 decimal floats. */
380 /* IN is a REAL_VALUE_TYPE. OUT is an array of longs. */
381 #define REAL_VALUE_TO_TARGET_DECIMAL128(IN, OUT) \
382 real_to_target (OUT, &(IN), mode_for_size (128, MODE_DECIMAL_FLOAT, 0))
384 #define REAL_VALUE_TO_TARGET_DECIMAL64(IN, OUT) \
385 real_to_target (OUT, &(IN), mode_for_size (64, MODE_DECIMAL_FLOAT, 0))
387 /* IN is a REAL_VALUE_TYPE. OUT is a long. */
388 #define REAL_VALUE_TO_TARGET_DECIMAL32(IN, OUT) \
389 ((OUT) = real_to_target (NULL, &(IN), mode_for_size (32, MODE_DECIMAL_FLOAT, 0)))
391 extern REAL_VALUE_TYPE
real_value_truncate (format_helper
, REAL_VALUE_TYPE
);
393 extern REAL_VALUE_TYPE
real_value_negate (const REAL_VALUE_TYPE
*);
394 extern REAL_VALUE_TYPE
real_value_abs (const REAL_VALUE_TYPE
*);
396 extern int significand_size (format_helper
);
398 extern REAL_VALUE_TYPE
real_from_string2 (const char *, format_helper
);
400 #define REAL_VALUE_ATOF(s, m) \
401 real_from_string2 (s, m)
403 #define CONST_DOUBLE_ATOF(s, m) \
404 const_double_from_real_value (real_from_string2 (s, m), m)
406 #define REAL_VALUE_FIX(r) \
407 real_to_integer (&(r))
409 /* ??? Not quite right. */
410 #define REAL_VALUE_UNSIGNED_FIX(r) \
411 real_to_integer (&(r))
413 /* ??? These were added for Paranoia support. */
415 /* Return floor log2(R). */
416 extern int real_exponent (const REAL_VALUE_TYPE
*);
418 /* R = A * 2**EXP. */
419 extern void real_ldexp (REAL_VALUE_TYPE
*, const REAL_VALUE_TYPE
*, int);
421 /* **** End of software floating point emulator interface macros **** */
423 /* Constant real values 0, 1, 2, -1 and 0.5. */
425 extern REAL_VALUE_TYPE dconst0
;
426 extern REAL_VALUE_TYPE dconst1
;
427 extern REAL_VALUE_TYPE dconst2
;
428 extern REAL_VALUE_TYPE dconstm1
;
429 extern REAL_VALUE_TYPE dconsthalf
;
431 #define dconst_e() (*dconst_e_ptr ())
432 #define dconst_third() (*dconst_third_ptr ())
433 #define dconst_quarter() (*dconst_quarter_ptr ())
434 #define dconst_sixth() (*dconst_sixth_ptr ())
435 #define dconst_ninth() (*dconst_ninth_ptr ())
436 #define dconst_sqrt2() (*dconst_sqrt2_ptr ())
438 /* Function to return the real value special constant 'e'. */
439 extern const REAL_VALUE_TYPE
* dconst_e_ptr (void);
441 /* Returns a cached REAL_VALUE_TYPE corresponding to 1/n, for various n. */
442 extern const REAL_VALUE_TYPE
*dconst_third_ptr (void);
443 extern const REAL_VALUE_TYPE
*dconst_quarter_ptr (void);
444 extern const REAL_VALUE_TYPE
*dconst_sixth_ptr (void);
445 extern const REAL_VALUE_TYPE
*dconst_ninth_ptr (void);
447 /* Returns the special REAL_VALUE_TYPE corresponding to sqrt(2). */
448 extern const REAL_VALUE_TYPE
* dconst_sqrt2_ptr (void);
450 /* Function to return a real value (not a tree node)
451 from a given integer constant. */
452 REAL_VALUE_TYPE
real_value_from_int_cst (const_tree
, const_tree
);
454 /* Return a CONST_DOUBLE with value R and mode M. */
455 extern rtx
const_double_from_real_value (REAL_VALUE_TYPE
, machine_mode
);
457 /* Replace R by 1/R in the given format, if the result is exact. */
458 extern bool exact_real_inverse (format_helper
, REAL_VALUE_TYPE
*);
460 /* Return true if arithmetic on values in IMODE that were promoted
461 from values in TMODE is equivalent to direct arithmetic on values
463 bool real_can_shorten_arithmetic (machine_mode
, machine_mode
);
465 /* In tree.c: wrap up a REAL_VALUE_TYPE in a tree node. */
466 extern tree
build_real (tree
, REAL_VALUE_TYPE
);
468 /* Likewise, but first truncate the value to the type. */
469 extern tree
build_real_truncate (tree
, REAL_VALUE_TYPE
);
471 /* Calculate R as X raised to the integer exponent N in format FMT. */
472 extern bool real_powi (REAL_VALUE_TYPE
*, format_helper
,
473 const REAL_VALUE_TYPE
*, HOST_WIDE_INT
);
475 /* Standard round to integer value functions. */
476 extern void real_trunc (REAL_VALUE_TYPE
*, format_helper
,
477 const REAL_VALUE_TYPE
*);
478 extern void real_floor (REAL_VALUE_TYPE
*, format_helper
,
479 const REAL_VALUE_TYPE
*);
480 extern void real_ceil (REAL_VALUE_TYPE
*, format_helper
,
481 const REAL_VALUE_TYPE
*);
482 extern void real_round (REAL_VALUE_TYPE
*, format_helper
,
483 const REAL_VALUE_TYPE
*);
485 /* Set the sign of R to the sign of X. */
486 extern void real_copysign (REAL_VALUE_TYPE
*, const REAL_VALUE_TYPE
*);
488 /* Check whether the real constant value given is an integer. */
489 extern bool real_isinteger (const REAL_VALUE_TYPE
*, format_helper
);
490 extern bool real_isinteger (const REAL_VALUE_TYPE
*, HOST_WIDE_INT
*);
492 /* Write into BUF the maximum representable finite floating-point
493 number, (1 - b**-p) * b**emax for a given FP format FMT as a hex
494 float string. BUF must be large enough to contain the result. */
495 extern void get_max_float (const struct real_format
*, char *, size_t);
497 #ifndef GENERATOR_FILE
498 /* real related routines. */
499 extern wide_int
real_to_integer (const REAL_VALUE_TYPE
*, bool *, int);
500 extern void real_from_integer (REAL_VALUE_TYPE
*, format_helper
,
501 const wide_int_ref
&, signop
);
504 #endif /* ! GCC_REAL_H */