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8d725fac AF |
1 | /* |
2 | * QEMU float support | |
3 | * | |
16017c48 PM |
4 | * The code in this source file is derived from release 2a of the SoftFloat |
5 | * IEC/IEEE Floating-point Arithmetic Package. Those parts of the code (and | |
6 | * some later contributions) are provided under that license, as detailed below. | |
7 | * It has subsequently been modified by contributors to the QEMU Project, | |
8 | * so some portions are provided under: | |
9 | * the SoftFloat-2a license | |
10 | * the BSD license | |
11 | * GPL-v2-or-later | |
12 | * | |
13 | * Any future contributions to this file after December 1st 2014 will be | |
14 | * taken to be licensed under the Softfloat-2a license unless specifically | |
15 | * indicated otherwise. | |
8d725fac AF |
16 | */ |
17 | ||
a7d1ac78 PM |
18 | /* |
19 | =============================================================================== | |
20 | This C header file is part of the SoftFloat IEC/IEEE Floating-point | |
21 | Arithmetic Package, Release 2a. | |
158142c2 FB |
22 | |
23 | Written by John R. Hauser. This work was made possible in part by the | |
24 | International Computer Science Institute, located at Suite 600, 1947 Center | |
25 | Street, Berkeley, California 94704. Funding was partially provided by the | |
26 | National Science Foundation under grant MIP-9311980. The original version | |
27 | of this code was written as part of a project to build a fixed-point vector | |
28 | processor in collaboration with the University of California at Berkeley, | |
29 | overseen by Profs. Nelson Morgan and John Wawrzynek. More information | |
a7d1ac78 | 30 | is available through the Web page `http://HTTP.CS.Berkeley.EDU/~jhauser/ |
158142c2 FB |
31 | arithmetic/SoftFloat.html'. |
32 | ||
a7d1ac78 PM |
33 | THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE. Although reasonable effort |
34 | has been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT | |
35 | TIMES RESULT IN INCORRECT BEHAVIOR. USE OF THIS SOFTWARE IS RESTRICTED TO | |
36 | PERSONS AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ANY | |
37 | AND ALL LOSSES, COSTS, OR OTHER PROBLEMS ARISING FROM ITS USE. | |
158142c2 FB |
38 | |
39 | Derivative works are acceptable, even for commercial purposes, so long as | |
a7d1ac78 PM |
40 | (1) they include prominent notice that the work is derivative, and (2) they |
41 | include prominent notice akin to these four paragraphs for those parts of | |
42 | this code that are retained. | |
158142c2 | 43 | |
a7d1ac78 PM |
44 | =============================================================================== |
45 | */ | |
158142c2 | 46 | |
16017c48 PM |
47 | /* BSD licensing: |
48 | * Copyright (c) 2006, Fabrice Bellard | |
49 | * All rights reserved. | |
50 | * | |
51 | * Redistribution and use in source and binary forms, with or without | |
52 | * modification, are permitted provided that the following conditions are met: | |
53 | * | |
54 | * 1. Redistributions of source code must retain the above copyright notice, | |
55 | * this list of conditions and the following disclaimer. | |
56 | * | |
57 | * 2. Redistributions in binary form must reproduce the above copyright notice, | |
58 | * this list of conditions and the following disclaimer in the documentation | |
59 | * and/or other materials provided with the distribution. | |
60 | * | |
61 | * 3. Neither the name of the copyright holder nor the names of its contributors | |
62 | * may be used to endorse or promote products derived from this software without | |
63 | * specific prior written permission. | |
64 | * | |
65 | * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" | |
66 | * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE | |
67 | * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE | |
68 | * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE | |
69 | * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR | |
70 | * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF | |
71 | * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS | |
72 | * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN | |
73 | * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) | |
74 | * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF | |
75 | * THE POSSIBILITY OF SUCH DAMAGE. | |
76 | */ | |
77 | ||
78 | /* Portions of this work are licensed under the terms of the GNU GPL, | |
79 | * version 2 or later. See the COPYING file in the top-level directory. | |
80 | */ | |
81 | ||
158142c2 FB |
82 | #ifndef SOFTFLOAT_H |
83 | #define SOFTFLOAT_H | |
84 | ||
75b5a697 | 85 | #if defined(CONFIG_SOLARIS) && defined(CONFIG_NEEDS_LIBSUNMATH) |
0475a5ca TS |
86 | #include <sunmath.h> |
87 | #endif | |
88 | ||
158142c2 | 89 | |
d341d9f3 PM |
90 | /* This 'flag' type must be able to hold at least 0 and 1. It should |
91 | * probably be replaced with 'bool' but the uses would need to be audited | |
92 | * to check that they weren't accidentally relying on it being a larger type. | |
93 | */ | |
750afe93 | 94 | typedef uint8_t flag; |
158142c2 | 95 | |
158142c2 | 96 | #define LIT64( a ) a##LL |
158142c2 | 97 | |
1d6bda35 FB |
98 | /*---------------------------------------------------------------------------- |
99 | | Software IEC/IEEE floating-point ordering relations | |
100 | *----------------------------------------------------------------------------*/ | |
101 | enum { | |
102 | float_relation_less = -1, | |
103 | float_relation_equal = 0, | |
104 | float_relation_greater = 1, | |
105 | float_relation_unordered = 2 | |
106 | }; | |
107 | ||
158142c2 FB |
108 | /*---------------------------------------------------------------------------- |
109 | | Software IEC/IEEE floating-point types. | |
110 | *----------------------------------------------------------------------------*/ | |
f090c9d4 PB |
111 | /* Use structures for soft-float types. This prevents accidentally mixing |
112 | them with native int/float types. A sufficiently clever compiler and | |
113 | sane ABI should be able to see though these structs. However | |
114 | x86/gcc 3.x seems to struggle a bit, so leave them disabled by default. */ | |
115 | //#define USE_SOFTFLOAT_STRUCT_TYPES | |
116 | #ifdef USE_SOFTFLOAT_STRUCT_TYPES | |
bb4d4bb3 PM |
117 | typedef struct { |
118 | uint16_t v; | |
119 | } float16; | |
120 | #define float16_val(x) (((float16)(x)).v) | |
121 | #define make_float16(x) __extension__ ({ float16 f16_val = {x}; f16_val; }) | |
d5138cf4 | 122 | #define const_float16(x) { x } |
f090c9d4 PB |
123 | typedef struct { |
124 | uint32_t v; | |
125 | } float32; | |
126 | /* The cast ensures an error if the wrong type is passed. */ | |
127 | #define float32_val(x) (((float32)(x)).v) | |
128 | #define make_float32(x) __extension__ ({ float32 f32_val = {x}; f32_val; }) | |
d5138cf4 | 129 | #define const_float32(x) { x } |
f090c9d4 PB |
130 | typedef struct { |
131 | uint64_t v; | |
132 | } float64; | |
133 | #define float64_val(x) (((float64)(x)).v) | |
134 | #define make_float64(x) __extension__ ({ float64 f64_val = {x}; f64_val; }) | |
d5138cf4 | 135 | #define const_float64(x) { x } |
f090c9d4 | 136 | #else |
bb4d4bb3 | 137 | typedef uint16_t float16; |
158142c2 FB |
138 | typedef uint32_t float32; |
139 | typedef uint64_t float64; | |
bb4d4bb3 | 140 | #define float16_val(x) (x) |
f090c9d4 PB |
141 | #define float32_val(x) (x) |
142 | #define float64_val(x) (x) | |
bb4d4bb3 | 143 | #define make_float16(x) (x) |
f090c9d4 PB |
144 | #define make_float32(x) (x) |
145 | #define make_float64(x) (x) | |
d5138cf4 PM |
146 | #define const_float16(x) (x) |
147 | #define const_float32(x) (x) | |
148 | #define const_float64(x) (x) | |
f090c9d4 | 149 | #endif |
158142c2 FB |
150 | typedef struct { |
151 | uint64_t low; | |
152 | uint16_t high; | |
153 | } floatx80; | |
f3218a8d | 154 | #define make_floatx80(exp, mant) ((floatx80) { mant, exp }) |
3bf7e40a | 155 | #define make_floatx80_init(exp, mant) { .low = mant, .high = exp } |
158142c2 | 156 | typedef struct { |
e2542fe2 | 157 | #ifdef HOST_WORDS_BIGENDIAN |
158142c2 FB |
158 | uint64_t high, low; |
159 | #else | |
160 | uint64_t low, high; | |
161 | #endif | |
162 | } float128; | |
789ec7ce | 163 | #define make_float128(high_, low_) ((float128) { .high = high_, .low = low_ }) |
3bf7e40a | 164 | #define make_float128_init(high_, low_) { .high = high_, .low = low_ } |
158142c2 FB |
165 | |
166 | /*---------------------------------------------------------------------------- | |
167 | | Software IEC/IEEE floating-point underflow tininess-detection mode. | |
168 | *----------------------------------------------------------------------------*/ | |
169 | enum { | |
170 | float_tininess_after_rounding = 0, | |
171 | float_tininess_before_rounding = 1 | |
172 | }; | |
173 | ||
174 | /*---------------------------------------------------------------------------- | |
175 | | Software IEC/IEEE floating-point rounding mode. | |
176 | *----------------------------------------------------------------------------*/ | |
177 | enum { | |
178 | float_round_nearest_even = 0, | |
179 | float_round_down = 1, | |
180 | float_round_up = 2, | |
f9288a76 PM |
181 | float_round_to_zero = 3, |
182 | float_round_ties_away = 4, | |
158142c2 FB |
183 | }; |
184 | ||
185 | /*---------------------------------------------------------------------------- | |
186 | | Software IEC/IEEE floating-point exception flags. | |
187 | *----------------------------------------------------------------------------*/ | |
188 | enum { | |
189 | float_flag_invalid = 1, | |
190 | float_flag_divbyzero = 4, | |
191 | float_flag_overflow = 8, | |
192 | float_flag_underflow = 16, | |
37d18660 | 193 | float_flag_inexact = 32, |
e6afc87f PM |
194 | float_flag_input_denormal = 64, |
195 | float_flag_output_denormal = 128 | |
158142c2 FB |
196 | }; |
197 | ||
198 | typedef struct float_status { | |
199 | signed char float_detect_tininess; | |
200 | signed char float_rounding_mode; | |
dfd60767 | 201 | uint8_t float_exception_flags; |
158142c2 | 202 | signed char floatx80_rounding_precision; |
37d18660 | 203 | /* should denormalised results go to zero and set the inexact flag? */ |
fe76d976 | 204 | flag flush_to_zero; |
37d18660 PM |
205 | /* should denormalised inputs go to zero and set the input_denormal flag? */ |
206 | flag flush_inputs_to_zero; | |
5c7908ed | 207 | flag default_nan_mode; |
af39bc8c | 208 | flag snan_bit_is_one; |
158142c2 FB |
209 | } float_status; |
210 | ||
e5a41ffa | 211 | static inline void set_float_detect_tininess(int val, float_status *status) |
c29aca44 | 212 | { |
a2f2d288 | 213 | status->float_detect_tininess = val; |
c29aca44 | 214 | } |
e5a41ffa | 215 | static inline void set_float_rounding_mode(int val, float_status *status) |
879d096b | 216 | { |
a2f2d288 | 217 | status->float_rounding_mode = val; |
879d096b | 218 | } |
e5a41ffa | 219 | static inline void set_float_exception_flags(int val, float_status *status) |
879d096b | 220 | { |
a2f2d288 | 221 | status->float_exception_flags = val; |
879d096b | 222 | } |
e5a41ffa PM |
223 | static inline void set_floatx80_rounding_precision(int val, |
224 | float_status *status) | |
879d096b | 225 | { |
a2f2d288 | 226 | status->floatx80_rounding_precision = val; |
879d096b | 227 | } |
e5a41ffa | 228 | static inline void set_flush_to_zero(flag val, float_status *status) |
fe76d976 | 229 | { |
a2f2d288 | 230 | status->flush_to_zero = val; |
fe76d976 | 231 | } |
e5a41ffa | 232 | static inline void set_flush_inputs_to_zero(flag val, float_status *status) |
37d18660 | 233 | { |
a2f2d288 | 234 | status->flush_inputs_to_zero = val; |
37d18660 | 235 | } |
e5a41ffa | 236 | static inline void set_default_nan_mode(flag val, float_status *status) |
5c7908ed | 237 | { |
a2f2d288 | 238 | status->default_nan_mode = val; |
5c7908ed | 239 | } |
af39bc8c AM |
240 | static inline void set_snan_bit_is_one(flag val, float_status *status) |
241 | { | |
242 | status->snan_bit_is_one = val; | |
243 | } | |
a49db98d | 244 | static inline int get_float_detect_tininess(float_status *status) |
879d096b | 245 | { |
a2f2d288 | 246 | return status->float_detect_tininess; |
879d096b | 247 | } |
a49db98d | 248 | static inline int get_float_rounding_mode(float_status *status) |
879d096b | 249 | { |
a2f2d288 | 250 | return status->float_rounding_mode; |
879d096b | 251 | } |
a49db98d | 252 | static inline int get_float_exception_flags(float_status *status) |
1d6bda35 | 253 | { |
a2f2d288 | 254 | return status->float_exception_flags; |
1d6bda35 | 255 | } |
a49db98d | 256 | static inline int get_floatx80_rounding_precision(float_status *status) |
879d096b | 257 | { |
a2f2d288 | 258 | return status->floatx80_rounding_precision; |
879d096b | 259 | } |
a49db98d | 260 | static inline flag get_flush_to_zero(float_status *status) |
879d096b | 261 | { |
a2f2d288 | 262 | return status->flush_to_zero; |
879d096b | 263 | } |
a49db98d | 264 | static inline flag get_flush_inputs_to_zero(float_status *status) |
879d096b | 265 | { |
a2f2d288 | 266 | return status->flush_inputs_to_zero; |
879d096b | 267 | } |
a49db98d | 268 | static inline flag get_default_nan_mode(float_status *status) |
879d096b | 269 | { |
a2f2d288 | 270 | return status->default_nan_mode; |
879d096b | 271 | } |
158142c2 FB |
272 | |
273 | /*---------------------------------------------------------------------------- | |
274 | | Routine to raise any or all of the software IEC/IEEE floating-point | |
275 | | exception flags. | |
276 | *----------------------------------------------------------------------------*/ | |
dfd60767 | 277 | void float_raise(uint8_t flags, float_status *status); |
158142c2 | 278 | |
7baeabce AB |
279 | /*---------------------------------------------------------------------------- |
280 | | If `a' is denormal and we are in flush-to-zero mode then set the | |
281 | | input-denormal exception and return zero. Otherwise just return the value. | |
282 | *----------------------------------------------------------------------------*/ | |
e5a41ffa PM |
283 | float32 float32_squash_input_denormal(float32 a, float_status *status); |
284 | float64 float64_squash_input_denormal(float64 a, float_status *status); | |
7baeabce | 285 | |
369be8f6 PM |
286 | /*---------------------------------------------------------------------------- |
287 | | Options to indicate which negations to perform in float*_muladd() | |
288 | | Using these differs from negating an input or output before calling | |
289 | | the muladd function in that this means that a NaN doesn't have its | |
290 | | sign bit inverted before it is propagated. | |
67d43538 PM |
291 | | We also support halving the result before rounding, as a special |
292 | | case to support the ARM fused-sqrt-step instruction FRSQRTS. | |
369be8f6 PM |
293 | *----------------------------------------------------------------------------*/ |
294 | enum { | |
295 | float_muladd_negate_c = 1, | |
296 | float_muladd_negate_product = 2, | |
66176802 | 297 | float_muladd_negate_result = 4, |
67d43538 | 298 | float_muladd_halve_result = 8, |
369be8f6 PM |
299 | }; |
300 | ||
158142c2 FB |
301 | /*---------------------------------------------------------------------------- |
302 | | Software IEC/IEEE integer-to-floating-point conversion routines. | |
303 | *----------------------------------------------------------------------------*/ | |
e5a41ffa PM |
304 | float32 int32_to_float32(int32_t, float_status *status); |
305 | float64 int32_to_float64(int32_t, float_status *status); | |
306 | float32 uint32_to_float32(uint32_t, float_status *status); | |
307 | float64 uint32_to_float64(uint32_t, float_status *status); | |
308 | floatx80 int32_to_floatx80(int32_t, float_status *status); | |
309 | float128 int32_to_float128(int32_t, float_status *status); | |
310 | float32 int64_to_float32(int64_t, float_status *status); | |
311 | float64 int64_to_float64(int64_t, float_status *status); | |
312 | floatx80 int64_to_floatx80(int64_t, float_status *status); | |
313 | float128 int64_to_float128(int64_t, float_status *status); | |
314 | float32 uint64_to_float32(uint64_t, float_status *status); | |
315 | float64 uint64_to_float64(uint64_t, float_status *status); | |
316 | float128 uint64_to_float128(uint64_t, float_status *status); | |
158142c2 | 317 | |
8afbdaba | 318 | /* We provide the int16 versions for symmetry of API with float-to-int */ |
e5a41ffa | 319 | static inline float32 int16_to_float32(int16_t v, float_status *status) |
8afbdaba | 320 | { |
ff32e16e | 321 | return int32_to_float32(v, status); |
8afbdaba PM |
322 | } |
323 | ||
e5a41ffa | 324 | static inline float32 uint16_to_float32(uint16_t v, float_status *status) |
8afbdaba | 325 | { |
ff32e16e | 326 | return uint32_to_float32(v, status); |
8afbdaba PM |
327 | } |
328 | ||
e5a41ffa | 329 | static inline float64 int16_to_float64(int16_t v, float_status *status) |
8afbdaba | 330 | { |
ff32e16e | 331 | return int32_to_float64(v, status); |
8afbdaba PM |
332 | } |
333 | ||
e5a41ffa | 334 | static inline float64 uint16_to_float64(uint16_t v, float_status *status) |
8afbdaba | 335 | { |
ff32e16e | 336 | return uint32_to_float64(v, status); |
8afbdaba PM |
337 | } |
338 | ||
60011498 PB |
339 | /*---------------------------------------------------------------------------- |
340 | | Software half-precision conversion routines. | |
341 | *----------------------------------------------------------------------------*/ | |
e5a41ffa PM |
342 | float16 float32_to_float16(float32, flag, float_status *status); |
343 | float32 float16_to_float32(float16, flag, float_status *status); | |
344 | float16 float64_to_float16(float64 a, flag ieee, float_status *status); | |
345 | float64 float16_to_float64(float16 a, flag ieee, float_status *status); | |
bb4d4bb3 PM |
346 | |
347 | /*---------------------------------------------------------------------------- | |
348 | | Software half-precision operations. | |
349 | *----------------------------------------------------------------------------*/ | |
af39bc8c AM |
350 | int float16_is_quiet_nan(float16, float_status *status); |
351 | int float16_is_signaling_nan(float16, float_status *status); | |
352 | float16 float16_maybe_silence_nan(float16, float_status *status); | |
60011498 | 353 | |
a49db98d | 354 | static inline int float16_is_any_nan(float16 a) |
213ff4e6 MF |
355 | { |
356 | return ((float16_val(a) & ~0x8000) > 0x7c00); | |
357 | } | |
358 | ||
8559666d CL |
359 | /*---------------------------------------------------------------------------- |
360 | | The pattern for a default generated half-precision NaN. | |
361 | *----------------------------------------------------------------------------*/ | |
af39bc8c | 362 | float16 float16_default_nan(float_status *status); |
8559666d | 363 | |
158142c2 FB |
364 | /*---------------------------------------------------------------------------- |
365 | | Software IEC/IEEE single-precision conversion routines. | |
366 | *----------------------------------------------------------------------------*/ | |
0bb721d7 PM |
367 | int16_t float32_to_int16(float32, float_status *status); |
368 | uint16_t float32_to_uint16(float32, float_status *status); | |
369 | int16_t float32_to_int16_round_to_zero(float32, float_status *status); | |
370 | uint16_t float32_to_uint16_round_to_zero(float32, float_status *status); | |
f4014512 PM |
371 | int32_t float32_to_int32(float32, float_status *status); |
372 | int32_t float32_to_int32_round_to_zero(float32, float_status *status); | |
3a87d009 PM |
373 | uint32_t float32_to_uint32(float32, float_status *status); |
374 | uint32_t float32_to_uint32_round_to_zero(float32, float_status *status); | |
f42c2224 | 375 | int64_t float32_to_int64(float32, float_status *status); |
182f42fd PM |
376 | uint64_t float32_to_uint64(float32, float_status *status); |
377 | uint64_t float32_to_uint64_round_to_zero(float32, float_status *status); | |
f42c2224 | 378 | int64_t float32_to_int64_round_to_zero(float32, float_status *status); |
e5a41ffa PM |
379 | float64 float32_to_float64(float32, float_status *status); |
380 | floatx80 float32_to_floatx80(float32, float_status *status); | |
381 | float128 float32_to_float128(float32, float_status *status); | |
158142c2 FB |
382 | |
383 | /*---------------------------------------------------------------------------- | |
384 | | Software IEC/IEEE single-precision operations. | |
385 | *----------------------------------------------------------------------------*/ | |
e5a41ffa PM |
386 | float32 float32_round_to_int(float32, float_status *status); |
387 | float32 float32_add(float32, float32, float_status *status); | |
388 | float32 float32_sub(float32, float32, float_status *status); | |
389 | float32 float32_mul(float32, float32, float_status *status); | |
390 | float32 float32_div(float32, float32, float_status *status); | |
391 | float32 float32_rem(float32, float32, float_status *status); | |
392 | float32 float32_muladd(float32, float32, float32, int, float_status *status); | |
393 | float32 float32_sqrt(float32, float_status *status); | |
394 | float32 float32_exp2(float32, float_status *status); | |
395 | float32 float32_log2(float32, float_status *status); | |
396 | int float32_eq(float32, float32, float_status *status); | |
397 | int float32_le(float32, float32, float_status *status); | |
398 | int float32_lt(float32, float32, float_status *status); | |
399 | int float32_unordered(float32, float32, float_status *status); | |
400 | int float32_eq_quiet(float32, float32, float_status *status); | |
401 | int float32_le_quiet(float32, float32, float_status *status); | |
402 | int float32_lt_quiet(float32, float32, float_status *status); | |
403 | int float32_unordered_quiet(float32, float32, float_status *status); | |
404 | int float32_compare(float32, float32, float_status *status); | |
405 | int float32_compare_quiet(float32, float32, float_status *status); | |
406 | float32 float32_min(float32, float32, float_status *status); | |
407 | float32 float32_max(float32, float32, float_status *status); | |
408 | float32 float32_minnum(float32, float32, float_status *status); | |
409 | float32 float32_maxnum(float32, float32, float_status *status); | |
410 | float32 float32_minnummag(float32, float32, float_status *status); | |
411 | float32 float32_maxnummag(float32, float32, float_status *status); | |
af39bc8c AM |
412 | int float32_is_quiet_nan(float32, float_status *status); |
413 | int float32_is_signaling_nan(float32, float_status *status); | |
414 | float32 float32_maybe_silence_nan(float32, float_status *status); | |
e5a41ffa | 415 | float32 float32_scalbn(float32, int, float_status *status); |
158142c2 | 416 | |
a49db98d | 417 | static inline float32 float32_abs(float32 a) |
1d6bda35 | 418 | { |
37d18660 PM |
419 | /* Note that abs does *not* handle NaN specially, nor does |
420 | * it flush denormal inputs to zero. | |
421 | */ | |
f090c9d4 | 422 | return make_float32(float32_val(a) & 0x7fffffff); |
1d6bda35 FB |
423 | } |
424 | ||
a49db98d | 425 | static inline float32 float32_chs(float32 a) |
1d6bda35 | 426 | { |
37d18660 PM |
427 | /* Note that chs does *not* handle NaN specially, nor does |
428 | * it flush denormal inputs to zero. | |
429 | */ | |
f090c9d4 | 430 | return make_float32(float32_val(a) ^ 0x80000000); |
1d6bda35 FB |
431 | } |
432 | ||
a49db98d | 433 | static inline int float32_is_infinity(float32 a) |
c52ab6f5 | 434 | { |
dadd71a7 | 435 | return (float32_val(a) & 0x7fffffff) == 0x7f800000; |
c52ab6f5 AJ |
436 | } |
437 | ||
a49db98d | 438 | static inline int float32_is_neg(float32 a) |
c52ab6f5 AJ |
439 | { |
440 | return float32_val(a) >> 31; | |
441 | } | |
442 | ||
a49db98d | 443 | static inline int float32_is_zero(float32 a) |
c52ab6f5 AJ |
444 | { |
445 | return (float32_val(a) & 0x7fffffff) == 0; | |
446 | } | |
447 | ||
a49db98d | 448 | static inline int float32_is_any_nan(float32 a) |
21d6ebde PM |
449 | { |
450 | return ((float32_val(a) & ~(1 << 31)) > 0x7f800000UL); | |
451 | } | |
452 | ||
a49db98d | 453 | static inline int float32_is_zero_or_denormal(float32 a) |
6f3300ad PM |
454 | { |
455 | return (float32_val(a) & 0x7f800000) == 0; | |
456 | } | |
457 | ||
a49db98d | 458 | static inline float32 float32_set_sign(float32 a, int sign) |
c30fe7df CL |
459 | { |
460 | return make_float32((float32_val(a) & 0x7fffffff) | (sign << 31)); | |
461 | } | |
462 | ||
f090c9d4 | 463 | #define float32_zero make_float32(0) |
196cfc89 | 464 | #define float32_one make_float32(0x3f800000) |
8229c991 | 465 | #define float32_ln2 make_float32(0x3f317218) |
c4b4c77a | 466 | #define float32_pi make_float32(0x40490fdb) |
c30fe7df CL |
467 | #define float32_half make_float32(0x3f000000) |
468 | #define float32_infinity make_float32(0x7f800000) | |
f090c9d4 | 469 | |
8559666d CL |
470 | |
471 | /*---------------------------------------------------------------------------- | |
472 | | The pattern for a default generated single-precision NaN. | |
473 | *----------------------------------------------------------------------------*/ | |
af39bc8c | 474 | float32 float32_default_nan(float_status *status); |
8559666d | 475 | |
158142c2 FB |
476 | /*---------------------------------------------------------------------------- |
477 | | Software IEC/IEEE double-precision conversion routines. | |
478 | *----------------------------------------------------------------------------*/ | |
0bb721d7 PM |
479 | int16_t float64_to_int16(float64, float_status *status); |
480 | uint16_t float64_to_uint16(float64, float_status *status); | |
481 | int16_t float64_to_int16_round_to_zero(float64, float_status *status); | |
482 | uint16_t float64_to_uint16_round_to_zero(float64, float_status *status); | |
f4014512 PM |
483 | int32_t float64_to_int32(float64, float_status *status); |
484 | int32_t float64_to_int32_round_to_zero(float64, float_status *status); | |
3a87d009 PM |
485 | uint32_t float64_to_uint32(float64, float_status *status); |
486 | uint32_t float64_to_uint32_round_to_zero(float64, float_status *status); | |
f42c2224 PM |
487 | int64_t float64_to_int64(float64, float_status *status); |
488 | int64_t float64_to_int64_round_to_zero(float64, float_status *status); | |
182f42fd PM |
489 | uint64_t float64_to_uint64(float64 a, float_status *status); |
490 | uint64_t float64_to_uint64_round_to_zero(float64 a, float_status *status); | |
e5a41ffa PM |
491 | float32 float64_to_float32(float64, float_status *status); |
492 | floatx80 float64_to_floatx80(float64, float_status *status); | |
493 | float128 float64_to_float128(float64, float_status *status); | |
158142c2 FB |
494 | |
495 | /*---------------------------------------------------------------------------- | |
496 | | Software IEC/IEEE double-precision operations. | |
497 | *----------------------------------------------------------------------------*/ | |
e5a41ffa PM |
498 | float64 float64_round_to_int(float64, float_status *status); |
499 | float64 float64_trunc_to_int(float64, float_status *status); | |
500 | float64 float64_add(float64, float64, float_status *status); | |
501 | float64 float64_sub(float64, float64, float_status *status); | |
502 | float64 float64_mul(float64, float64, float_status *status); | |
503 | float64 float64_div(float64, float64, float_status *status); | |
504 | float64 float64_rem(float64, float64, float_status *status); | |
505 | float64 float64_muladd(float64, float64, float64, int, float_status *status); | |
506 | float64 float64_sqrt(float64, float_status *status); | |
507 | float64 float64_log2(float64, float_status *status); | |
508 | int float64_eq(float64, float64, float_status *status); | |
509 | int float64_le(float64, float64, float_status *status); | |
510 | int float64_lt(float64, float64, float_status *status); | |
511 | int float64_unordered(float64, float64, float_status *status); | |
512 | int float64_eq_quiet(float64, float64, float_status *status); | |
513 | int float64_le_quiet(float64, float64, float_status *status); | |
514 | int float64_lt_quiet(float64, float64, float_status *status); | |
515 | int float64_unordered_quiet(float64, float64, float_status *status); | |
516 | int float64_compare(float64, float64, float_status *status); | |
517 | int float64_compare_quiet(float64, float64, float_status *status); | |
518 | float64 float64_min(float64, float64, float_status *status); | |
519 | float64 float64_max(float64, float64, float_status *status); | |
520 | float64 float64_minnum(float64, float64, float_status *status); | |
521 | float64 float64_maxnum(float64, float64, float_status *status); | |
522 | float64 float64_minnummag(float64, float64, float_status *status); | |
523 | float64 float64_maxnummag(float64, float64, float_status *status); | |
af39bc8c AM |
524 | int float64_is_quiet_nan(float64 a, float_status *status); |
525 | int float64_is_signaling_nan(float64, float_status *status); | |
526 | float64 float64_maybe_silence_nan(float64, float_status *status); | |
e5a41ffa | 527 | float64 float64_scalbn(float64, int, float_status *status); |
158142c2 | 528 | |
a49db98d | 529 | static inline float64 float64_abs(float64 a) |
1d6bda35 | 530 | { |
37d18660 PM |
531 | /* Note that abs does *not* handle NaN specially, nor does |
532 | * it flush denormal inputs to zero. | |
533 | */ | |
f090c9d4 | 534 | return make_float64(float64_val(a) & 0x7fffffffffffffffLL); |
1d6bda35 FB |
535 | } |
536 | ||
a49db98d | 537 | static inline float64 float64_chs(float64 a) |
1d6bda35 | 538 | { |
37d18660 PM |
539 | /* Note that chs does *not* handle NaN specially, nor does |
540 | * it flush denormal inputs to zero. | |
541 | */ | |
f090c9d4 | 542 | return make_float64(float64_val(a) ^ 0x8000000000000000LL); |
1d6bda35 FB |
543 | } |
544 | ||
a49db98d | 545 | static inline int float64_is_infinity(float64 a) |
c52ab6f5 AJ |
546 | { |
547 | return (float64_val(a) & 0x7fffffffffffffffLL ) == 0x7ff0000000000000LL; | |
548 | } | |
549 | ||
a49db98d | 550 | static inline int float64_is_neg(float64 a) |
c52ab6f5 AJ |
551 | { |
552 | return float64_val(a) >> 63; | |
553 | } | |
554 | ||
a49db98d | 555 | static inline int float64_is_zero(float64 a) |
c52ab6f5 AJ |
556 | { |
557 | return (float64_val(a) & 0x7fffffffffffffffLL) == 0; | |
558 | } | |
559 | ||
a49db98d | 560 | static inline int float64_is_any_nan(float64 a) |
21d6ebde PM |
561 | { |
562 | return ((float64_val(a) & ~(1ULL << 63)) > 0x7ff0000000000000ULL); | |
563 | } | |
564 | ||
a49db98d | 565 | static inline int float64_is_zero_or_denormal(float64 a) |
587eabfa AJ |
566 | { |
567 | return (float64_val(a) & 0x7ff0000000000000LL) == 0; | |
568 | } | |
569 | ||
a49db98d | 570 | static inline float64 float64_set_sign(float64 a, int sign) |
c30fe7df CL |
571 | { |
572 | return make_float64((float64_val(a) & 0x7fffffffffffffffULL) | |
573 | | ((int64_t)sign << 63)); | |
574 | } | |
575 | ||
f090c9d4 | 576 | #define float64_zero make_float64(0) |
196cfc89 | 577 | #define float64_one make_float64(0x3ff0000000000000LL) |
8229c991 | 578 | #define float64_ln2 make_float64(0x3fe62e42fefa39efLL) |
c4b4c77a | 579 | #define float64_pi make_float64(0x400921fb54442d18LL) |
c30fe7df CL |
580 | #define float64_half make_float64(0x3fe0000000000000LL) |
581 | #define float64_infinity make_float64(0x7ff0000000000000LL) | |
f090c9d4 | 582 | |
8559666d CL |
583 | /*---------------------------------------------------------------------------- |
584 | | The pattern for a default generated double-precision NaN. | |
585 | *----------------------------------------------------------------------------*/ | |
af39bc8c | 586 | float64 float64_default_nan(float_status *status); |
8559666d | 587 | |
158142c2 FB |
588 | /*---------------------------------------------------------------------------- |
589 | | Software IEC/IEEE extended double-precision conversion routines. | |
590 | *----------------------------------------------------------------------------*/ | |
f4014512 PM |
591 | int32_t floatx80_to_int32(floatx80, float_status *status); |
592 | int32_t floatx80_to_int32_round_to_zero(floatx80, float_status *status); | |
f42c2224 PM |
593 | int64_t floatx80_to_int64(floatx80, float_status *status); |
594 | int64_t floatx80_to_int64_round_to_zero(floatx80, float_status *status); | |
e5a41ffa PM |
595 | float32 floatx80_to_float32(floatx80, float_status *status); |
596 | float64 floatx80_to_float64(floatx80, float_status *status); | |
597 | float128 floatx80_to_float128(floatx80, float_status *status); | |
158142c2 FB |
598 | |
599 | /*---------------------------------------------------------------------------- | |
600 | | Software IEC/IEEE extended double-precision operations. | |
601 | *----------------------------------------------------------------------------*/ | |
e5a41ffa PM |
602 | floatx80 floatx80_round_to_int(floatx80, float_status *status); |
603 | floatx80 floatx80_add(floatx80, floatx80, float_status *status); | |
604 | floatx80 floatx80_sub(floatx80, floatx80, float_status *status); | |
605 | floatx80 floatx80_mul(floatx80, floatx80, float_status *status); | |
606 | floatx80 floatx80_div(floatx80, floatx80, float_status *status); | |
607 | floatx80 floatx80_rem(floatx80, floatx80, float_status *status); | |
608 | floatx80 floatx80_sqrt(floatx80, float_status *status); | |
609 | int floatx80_eq(floatx80, floatx80, float_status *status); | |
610 | int floatx80_le(floatx80, floatx80, float_status *status); | |
611 | int floatx80_lt(floatx80, floatx80, float_status *status); | |
612 | int floatx80_unordered(floatx80, floatx80, float_status *status); | |
613 | int floatx80_eq_quiet(floatx80, floatx80, float_status *status); | |
614 | int floatx80_le_quiet(floatx80, floatx80, float_status *status); | |
615 | int floatx80_lt_quiet(floatx80, floatx80, float_status *status); | |
616 | int floatx80_unordered_quiet(floatx80, floatx80, float_status *status); | |
617 | int floatx80_compare(floatx80, floatx80, float_status *status); | |
618 | int floatx80_compare_quiet(floatx80, floatx80, float_status *status); | |
af39bc8c AM |
619 | int floatx80_is_quiet_nan(floatx80, float_status *status); |
620 | int floatx80_is_signaling_nan(floatx80, float_status *status); | |
621 | floatx80 floatx80_maybe_silence_nan(floatx80, float_status *status); | |
e5a41ffa | 622 | floatx80 floatx80_scalbn(floatx80, int, float_status *status); |
158142c2 | 623 | |
a49db98d | 624 | static inline floatx80 floatx80_abs(floatx80 a) |
1d6bda35 FB |
625 | { |
626 | a.high &= 0x7fff; | |
627 | return a; | |
628 | } | |
629 | ||
a49db98d | 630 | static inline floatx80 floatx80_chs(floatx80 a) |
1d6bda35 FB |
631 | { |
632 | a.high ^= 0x8000; | |
633 | return a; | |
634 | } | |
635 | ||
a49db98d | 636 | static inline int floatx80_is_infinity(floatx80 a) |
c52ab6f5 | 637 | { |
b76235e4 | 638 | return (a.high & 0x7fff) == 0x7fff && a.low == 0x8000000000000000LL; |
c52ab6f5 AJ |
639 | } |
640 | ||
a49db98d | 641 | static inline int floatx80_is_neg(floatx80 a) |
c52ab6f5 AJ |
642 | { |
643 | return a.high >> 15; | |
644 | } | |
645 | ||
a49db98d | 646 | static inline int floatx80_is_zero(floatx80 a) |
c52ab6f5 AJ |
647 | { |
648 | return (a.high & 0x7fff) == 0 && a.low == 0; | |
649 | } | |
650 | ||
a49db98d | 651 | static inline int floatx80_is_zero_or_denormal(floatx80 a) |
587eabfa AJ |
652 | { |
653 | return (a.high & 0x7fff) == 0; | |
654 | } | |
655 | ||
a49db98d | 656 | static inline int floatx80_is_any_nan(floatx80 a) |
2bed652f PM |
657 | { |
658 | return ((a.high & 0x7fff) == 0x7fff) && (a.low<<1); | |
659 | } | |
660 | ||
d1eb8f2a AD |
661 | /*---------------------------------------------------------------------------- |
662 | | Return whether the given value is an invalid floatx80 encoding. | |
663 | | Invalid floatx80 encodings arise when the integer bit is not set, but | |
664 | | the exponent is not zero. The only times the integer bit is permitted to | |
665 | | be zero is in subnormal numbers and the value zero. | |
666 | | This includes what the Intel software developer's manual calls pseudo-NaNs, | |
667 | | pseudo-infinities and un-normal numbers. It does not include | |
668 | | pseudo-denormals, which must still be correctly handled as inputs even | |
669 | | if they are never generated as outputs. | |
670 | *----------------------------------------------------------------------------*/ | |
671 | static inline bool floatx80_invalid_encoding(floatx80 a) | |
672 | { | |
673 | return (a.low & (1ULL << 63)) == 0 && (a.high & 0x7FFF) != 0; | |
674 | } | |
675 | ||
f3218a8d AJ |
676 | #define floatx80_zero make_floatx80(0x0000, 0x0000000000000000LL) |
677 | #define floatx80_one make_floatx80(0x3fff, 0x8000000000000000LL) | |
678 | #define floatx80_ln2 make_floatx80(0x3ffe, 0xb17217f7d1cf79acLL) | |
c4b4c77a | 679 | #define floatx80_pi make_floatx80(0x4000, 0xc90fdaa22168c235LL) |
f3218a8d AJ |
680 | #define floatx80_half make_floatx80(0x3ffe, 0x8000000000000000LL) |
681 | #define floatx80_infinity make_floatx80(0x7fff, 0x8000000000000000LL) | |
682 | ||
8559666d | 683 | /*---------------------------------------------------------------------------- |
789ec7ce | 684 | | The pattern for a default generated extended double-precision NaN. |
8559666d | 685 | *----------------------------------------------------------------------------*/ |
af39bc8c | 686 | floatx80 floatx80_default_nan(float_status *status); |
8559666d | 687 | |
158142c2 FB |
688 | /*---------------------------------------------------------------------------- |
689 | | Software IEC/IEEE quadruple-precision conversion routines. | |
690 | *----------------------------------------------------------------------------*/ | |
f4014512 PM |
691 | int32_t float128_to_int32(float128, float_status *status); |
692 | int32_t float128_to_int32_round_to_zero(float128, float_status *status); | |
f42c2224 PM |
693 | int64_t float128_to_int64(float128, float_status *status); |
694 | int64_t float128_to_int64_round_to_zero(float128, float_status *status); | |
e5a41ffa PM |
695 | float32 float128_to_float32(float128, float_status *status); |
696 | float64 float128_to_float64(float128, float_status *status); | |
697 | floatx80 float128_to_floatx80(float128, float_status *status); | |
158142c2 FB |
698 | |
699 | /*---------------------------------------------------------------------------- | |
700 | | Software IEC/IEEE quadruple-precision operations. | |
701 | *----------------------------------------------------------------------------*/ | |
e5a41ffa PM |
702 | float128 float128_round_to_int(float128, float_status *status); |
703 | float128 float128_add(float128, float128, float_status *status); | |
704 | float128 float128_sub(float128, float128, float_status *status); | |
705 | float128 float128_mul(float128, float128, float_status *status); | |
706 | float128 float128_div(float128, float128, float_status *status); | |
707 | float128 float128_rem(float128, float128, float_status *status); | |
708 | float128 float128_sqrt(float128, float_status *status); | |
709 | int float128_eq(float128, float128, float_status *status); | |
710 | int float128_le(float128, float128, float_status *status); | |
711 | int float128_lt(float128, float128, float_status *status); | |
712 | int float128_unordered(float128, float128, float_status *status); | |
713 | int float128_eq_quiet(float128, float128, float_status *status); | |
714 | int float128_le_quiet(float128, float128, float_status *status); | |
715 | int float128_lt_quiet(float128, float128, float_status *status); | |
716 | int float128_unordered_quiet(float128, float128, float_status *status); | |
717 | int float128_compare(float128, float128, float_status *status); | |
718 | int float128_compare_quiet(float128, float128, float_status *status); | |
af39bc8c AM |
719 | int float128_is_quiet_nan(float128, float_status *status); |
720 | int float128_is_signaling_nan(float128, float_status *status); | |
721 | float128 float128_maybe_silence_nan(float128, float_status *status); | |
e5a41ffa | 722 | float128 float128_scalbn(float128, int, float_status *status); |
158142c2 | 723 | |
a49db98d | 724 | static inline float128 float128_abs(float128 a) |
1d6bda35 FB |
725 | { |
726 | a.high &= 0x7fffffffffffffffLL; | |
727 | return a; | |
728 | } | |
729 | ||
a49db98d | 730 | static inline float128 float128_chs(float128 a) |
1d6bda35 FB |
731 | { |
732 | a.high ^= 0x8000000000000000LL; | |
733 | return a; | |
734 | } | |
735 | ||
a49db98d | 736 | static inline int float128_is_infinity(float128 a) |
c52ab6f5 AJ |
737 | { |
738 | return (a.high & 0x7fffffffffffffffLL) == 0x7fff000000000000LL && a.low == 0; | |
739 | } | |
740 | ||
a49db98d | 741 | static inline int float128_is_neg(float128 a) |
c52ab6f5 AJ |
742 | { |
743 | return a.high >> 63; | |
744 | } | |
745 | ||
a49db98d | 746 | static inline int float128_is_zero(float128 a) |
c52ab6f5 AJ |
747 | { |
748 | return (a.high & 0x7fffffffffffffffLL) == 0 && a.low == 0; | |
749 | } | |
750 | ||
a49db98d | 751 | static inline int float128_is_zero_or_denormal(float128 a) |
587eabfa AJ |
752 | { |
753 | return (a.high & 0x7fff000000000000LL) == 0; | |
754 | } | |
755 | ||
a49db98d | 756 | static inline int float128_is_any_nan(float128 a) |
2bed652f PM |
757 | { |
758 | return ((a.high >> 48) & 0x7fff) == 0x7fff && | |
759 | ((a.low != 0) || ((a.high & 0xffffffffffffLL) != 0)); | |
760 | } | |
761 | ||
1e397ead RH |
762 | #define float128_zero make_float128(0, 0) |
763 | ||
8559666d | 764 | /*---------------------------------------------------------------------------- |
789ec7ce | 765 | | The pattern for a default generated quadruple-precision NaN. |
8559666d | 766 | *----------------------------------------------------------------------------*/ |
af39bc8c | 767 | float128 float128_default_nan(float_status *status); |
8559666d | 768 | |
175de524 | 769 | #endif /* SOFTFLOAT_H */ |