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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 | 16 | */ |
158142c2 | 17 | |
a7d1ac78 PM |
18 | /* |
19 | =============================================================================== | |
20 | This C source 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 | ||
2ac8bd03 PM |
82 | /* softfloat (and in particular the code in softfloat-specialize.h) is |
83 | * target-dependent and needs the TARGET_* macros. | |
84 | */ | |
d38ea87a | 85 | #include "qemu/osdep.h" |
a94b7839 | 86 | #include <math.h> |
6fff2167 | 87 | #include "qemu/bitops.h" |
6b4c305c | 88 | #include "fpu/softfloat.h" |
158142c2 | 89 | |
dc355b76 | 90 | /* We only need stdlib for abort() */ |
dc355b76 | 91 | |
158142c2 FB |
92 | /*---------------------------------------------------------------------------- |
93 | | Primitive arithmetic functions, including multi-word arithmetic, and | |
94 | | division and square root approximations. (Can be specialized to target if | |
95 | | desired.) | |
96 | *----------------------------------------------------------------------------*/ | |
88857aca | 97 | #include "fpu/softfloat-macros.h" |
158142c2 | 98 | |
a94b7839 EC |
99 | /* |
100 | * Hardfloat | |
101 | * | |
102 | * Fast emulation of guest FP instructions is challenging for two reasons. | |
103 | * First, FP instruction semantics are similar but not identical, particularly | |
104 | * when handling NaNs. Second, emulating at reasonable speed the guest FP | |
105 | * exception flags is not trivial: reading the host's flags register with a | |
106 | * feclearexcept & fetestexcept pair is slow [slightly slower than soft-fp], | |
107 | * and trapping on every FP exception is not fast nor pleasant to work with. | |
108 | * | |
109 | * We address these challenges by leveraging the host FPU for a subset of the | |
110 | * operations. To do this we expand on the idea presented in this paper: | |
111 | * | |
112 | * Guo, Yu-Chuan, et al. "Translating the ARM Neon and VFP instructions in a | |
113 | * binary translator." Software: Practice and Experience 46.12 (2016):1591-1615. | |
114 | * | |
115 | * The idea is thus to leverage the host FPU to (1) compute FP operations | |
116 | * and (2) identify whether FP exceptions occurred while avoiding | |
117 | * expensive exception flag register accesses. | |
118 | * | |
119 | * An important optimization shown in the paper is that given that exception | |
120 | * flags are rarely cleared by the guest, we can avoid recomputing some flags. | |
121 | * This is particularly useful for the inexact flag, which is very frequently | |
122 | * raised in floating-point workloads. | |
123 | * | |
124 | * We optimize the code further by deferring to soft-fp whenever FP exception | |
125 | * detection might get hairy. Two examples: (1) when at least one operand is | |
126 | * denormal/inf/NaN; (2) when operands are not guaranteed to lead to a 0 result | |
127 | * and the result is < the minimum normal. | |
128 | */ | |
129 | #define GEN_INPUT_FLUSH__NOCHECK(name, soft_t) \ | |
130 | static inline void name(soft_t *a, float_status *s) \ | |
131 | { \ | |
132 | if (unlikely(soft_t ## _is_denormal(*a))) { \ | |
133 | *a = soft_t ## _set_sign(soft_t ## _zero, \ | |
134 | soft_t ## _is_neg(*a)); \ | |
d82f3b2d | 135 | float_raise(float_flag_input_denormal, s); \ |
a94b7839 EC |
136 | } \ |
137 | } | |
138 | ||
139 | GEN_INPUT_FLUSH__NOCHECK(float32_input_flush__nocheck, float32) | |
140 | GEN_INPUT_FLUSH__NOCHECK(float64_input_flush__nocheck, float64) | |
141 | #undef GEN_INPUT_FLUSH__NOCHECK | |
142 | ||
143 | #define GEN_INPUT_FLUSH1(name, soft_t) \ | |
144 | static inline void name(soft_t *a, float_status *s) \ | |
145 | { \ | |
146 | if (likely(!s->flush_inputs_to_zero)) { \ | |
147 | return; \ | |
148 | } \ | |
149 | soft_t ## _input_flush__nocheck(a, s); \ | |
150 | } | |
151 | ||
152 | GEN_INPUT_FLUSH1(float32_input_flush1, float32) | |
153 | GEN_INPUT_FLUSH1(float64_input_flush1, float64) | |
154 | #undef GEN_INPUT_FLUSH1 | |
155 | ||
156 | #define GEN_INPUT_FLUSH2(name, soft_t) \ | |
157 | static inline void name(soft_t *a, soft_t *b, float_status *s) \ | |
158 | { \ | |
159 | if (likely(!s->flush_inputs_to_zero)) { \ | |
160 | return; \ | |
161 | } \ | |
162 | soft_t ## _input_flush__nocheck(a, s); \ | |
163 | soft_t ## _input_flush__nocheck(b, s); \ | |
164 | } | |
165 | ||
166 | GEN_INPUT_FLUSH2(float32_input_flush2, float32) | |
167 | GEN_INPUT_FLUSH2(float64_input_flush2, float64) | |
168 | #undef GEN_INPUT_FLUSH2 | |
169 | ||
170 | #define GEN_INPUT_FLUSH3(name, soft_t) \ | |
171 | static inline void name(soft_t *a, soft_t *b, soft_t *c, float_status *s) \ | |
172 | { \ | |
173 | if (likely(!s->flush_inputs_to_zero)) { \ | |
174 | return; \ | |
175 | } \ | |
176 | soft_t ## _input_flush__nocheck(a, s); \ | |
177 | soft_t ## _input_flush__nocheck(b, s); \ | |
178 | soft_t ## _input_flush__nocheck(c, s); \ | |
179 | } | |
180 | ||
181 | GEN_INPUT_FLUSH3(float32_input_flush3, float32) | |
182 | GEN_INPUT_FLUSH3(float64_input_flush3, float64) | |
183 | #undef GEN_INPUT_FLUSH3 | |
184 | ||
185 | /* | |
186 | * Choose whether to use fpclassify or float32/64_* primitives in the generated | |
187 | * hardfloat functions. Each combination of number of inputs and float size | |
188 | * gets its own value. | |
189 | */ | |
190 | #if defined(__x86_64__) | |
191 | # define QEMU_HARDFLOAT_1F32_USE_FP 0 | |
192 | # define QEMU_HARDFLOAT_1F64_USE_FP 1 | |
193 | # define QEMU_HARDFLOAT_2F32_USE_FP 0 | |
194 | # define QEMU_HARDFLOAT_2F64_USE_FP 1 | |
195 | # define QEMU_HARDFLOAT_3F32_USE_FP 0 | |
196 | # define QEMU_HARDFLOAT_3F64_USE_FP 1 | |
197 | #else | |
198 | # define QEMU_HARDFLOAT_1F32_USE_FP 0 | |
199 | # define QEMU_HARDFLOAT_1F64_USE_FP 0 | |
200 | # define QEMU_HARDFLOAT_2F32_USE_FP 0 | |
201 | # define QEMU_HARDFLOAT_2F64_USE_FP 0 | |
202 | # define QEMU_HARDFLOAT_3F32_USE_FP 0 | |
203 | # define QEMU_HARDFLOAT_3F64_USE_FP 0 | |
204 | #endif | |
205 | ||
206 | /* | |
207 | * QEMU_HARDFLOAT_USE_ISINF chooses whether to use isinf() over | |
208 | * float{32,64}_is_infinity when !USE_FP. | |
209 | * On x86_64/aarch64, using the former over the latter can yield a ~6% speedup. | |
210 | * On power64 however, using isinf() reduces fp-bench performance by up to 50%. | |
211 | */ | |
212 | #if defined(__x86_64__) || defined(__aarch64__) | |
213 | # define QEMU_HARDFLOAT_USE_ISINF 1 | |
214 | #else | |
215 | # define QEMU_HARDFLOAT_USE_ISINF 0 | |
216 | #endif | |
217 | ||
218 | /* | |
219 | * Some targets clear the FP flags before most FP operations. This prevents | |
220 | * the use of hardfloat, since hardfloat relies on the inexact flag being | |
221 | * already set. | |
222 | */ | |
223 | #if defined(TARGET_PPC) || defined(__FAST_MATH__) | |
224 | # if defined(__FAST_MATH__) | |
225 | # warning disabling hardfloat due to -ffast-math: hardfloat requires an exact \ | |
226 | IEEE implementation | |
227 | # endif | |
228 | # define QEMU_NO_HARDFLOAT 1 | |
229 | # define QEMU_SOFTFLOAT_ATTR QEMU_FLATTEN | |
230 | #else | |
231 | # define QEMU_NO_HARDFLOAT 0 | |
232 | # define QEMU_SOFTFLOAT_ATTR QEMU_FLATTEN __attribute__((noinline)) | |
233 | #endif | |
234 | ||
235 | static inline bool can_use_fpu(const float_status *s) | |
236 | { | |
237 | if (QEMU_NO_HARDFLOAT) { | |
238 | return false; | |
239 | } | |
240 | return likely(s->float_exception_flags & float_flag_inexact && | |
241 | s->float_rounding_mode == float_round_nearest_even); | |
242 | } | |
243 | ||
244 | /* | |
245 | * Hardfloat generation functions. Each operation can have two flavors: | |
246 | * either using softfloat primitives (e.g. float32_is_zero_or_normal) for | |
247 | * most condition checks, or native ones (e.g. fpclassify). | |
248 | * | |
249 | * The flavor is chosen by the callers. Instead of using macros, we rely on the | |
250 | * compiler to propagate constants and inline everything into the callers. | |
251 | * | |
252 | * We only generate functions for operations with two inputs, since only | |
253 | * these are common enough to justify consolidating them into common code. | |
254 | */ | |
255 | ||
256 | typedef union { | |
257 | float32 s; | |
258 | float h; | |
259 | } union_float32; | |
260 | ||
261 | typedef union { | |
262 | float64 s; | |
263 | double h; | |
264 | } union_float64; | |
265 | ||
266 | typedef bool (*f32_check_fn)(union_float32 a, union_float32 b); | |
267 | typedef bool (*f64_check_fn)(union_float64 a, union_float64 b); | |
268 | ||
269 | typedef float32 (*soft_f32_op2_fn)(float32 a, float32 b, float_status *s); | |
270 | typedef float64 (*soft_f64_op2_fn)(float64 a, float64 b, float_status *s); | |
271 | typedef float (*hard_f32_op2_fn)(float a, float b); | |
272 | typedef double (*hard_f64_op2_fn)(double a, double b); | |
273 | ||
274 | /* 2-input is-zero-or-normal */ | |
275 | static inline bool f32_is_zon2(union_float32 a, union_float32 b) | |
276 | { | |
277 | if (QEMU_HARDFLOAT_2F32_USE_FP) { | |
278 | /* | |
279 | * Not using a temp variable for consecutive fpclassify calls ends up | |
280 | * generating faster code. | |
281 | */ | |
282 | return (fpclassify(a.h) == FP_NORMAL || fpclassify(a.h) == FP_ZERO) && | |
283 | (fpclassify(b.h) == FP_NORMAL || fpclassify(b.h) == FP_ZERO); | |
284 | } | |
285 | return float32_is_zero_or_normal(a.s) && | |
286 | float32_is_zero_or_normal(b.s); | |
287 | } | |
288 | ||
289 | static inline bool f64_is_zon2(union_float64 a, union_float64 b) | |
290 | { | |
291 | if (QEMU_HARDFLOAT_2F64_USE_FP) { | |
292 | return (fpclassify(a.h) == FP_NORMAL || fpclassify(a.h) == FP_ZERO) && | |
293 | (fpclassify(b.h) == FP_NORMAL || fpclassify(b.h) == FP_ZERO); | |
294 | } | |
295 | return float64_is_zero_or_normal(a.s) && | |
296 | float64_is_zero_or_normal(b.s); | |
297 | } | |
298 | ||
299 | /* 3-input is-zero-or-normal */ | |
300 | static inline | |
301 | bool f32_is_zon3(union_float32 a, union_float32 b, union_float32 c) | |
302 | { | |
303 | if (QEMU_HARDFLOAT_3F32_USE_FP) { | |
304 | return (fpclassify(a.h) == FP_NORMAL || fpclassify(a.h) == FP_ZERO) && | |
305 | (fpclassify(b.h) == FP_NORMAL || fpclassify(b.h) == FP_ZERO) && | |
306 | (fpclassify(c.h) == FP_NORMAL || fpclassify(c.h) == FP_ZERO); | |
307 | } | |
308 | return float32_is_zero_or_normal(a.s) && | |
309 | float32_is_zero_or_normal(b.s) && | |
310 | float32_is_zero_or_normal(c.s); | |
311 | } | |
312 | ||
313 | static inline | |
314 | bool f64_is_zon3(union_float64 a, union_float64 b, union_float64 c) | |
315 | { | |
316 | if (QEMU_HARDFLOAT_3F64_USE_FP) { | |
317 | return (fpclassify(a.h) == FP_NORMAL || fpclassify(a.h) == FP_ZERO) && | |
318 | (fpclassify(b.h) == FP_NORMAL || fpclassify(b.h) == FP_ZERO) && | |
319 | (fpclassify(c.h) == FP_NORMAL || fpclassify(c.h) == FP_ZERO); | |
320 | } | |
321 | return float64_is_zero_or_normal(a.s) && | |
322 | float64_is_zero_or_normal(b.s) && | |
323 | float64_is_zero_or_normal(c.s); | |
324 | } | |
325 | ||
326 | static inline bool f32_is_inf(union_float32 a) | |
327 | { | |
328 | if (QEMU_HARDFLOAT_USE_ISINF) { | |
329 | return isinf(a.h); | |
330 | } | |
331 | return float32_is_infinity(a.s); | |
332 | } | |
333 | ||
334 | static inline bool f64_is_inf(union_float64 a) | |
335 | { | |
336 | if (QEMU_HARDFLOAT_USE_ISINF) { | |
337 | return isinf(a.h); | |
338 | } | |
339 | return float64_is_infinity(a.s); | |
340 | } | |
341 | ||
a94b7839 EC |
342 | static inline float32 |
343 | float32_gen2(float32 xa, float32 xb, float_status *s, | |
344 | hard_f32_op2_fn hard, soft_f32_op2_fn soft, | |
b240c9c4 | 345 | f32_check_fn pre, f32_check_fn post) |
a94b7839 EC |
346 | { |
347 | union_float32 ua, ub, ur; | |
348 | ||
349 | ua.s = xa; | |
350 | ub.s = xb; | |
351 | ||
352 | if (unlikely(!can_use_fpu(s))) { | |
353 | goto soft; | |
354 | } | |
355 | ||
356 | float32_input_flush2(&ua.s, &ub.s, s); | |
357 | if (unlikely(!pre(ua, ub))) { | |
358 | goto soft; | |
359 | } | |
a94b7839 EC |
360 | |
361 | ur.h = hard(ua.h, ub.h); | |
362 | if (unlikely(f32_is_inf(ur))) { | |
d82f3b2d | 363 | float_raise(float_flag_overflow, s); |
b240c9c4 RH |
364 | } else if (unlikely(fabsf(ur.h) <= FLT_MIN) && post(ua, ub)) { |
365 | goto soft; | |
a94b7839 EC |
366 | } |
367 | return ur.s; | |
368 | ||
369 | soft: | |
370 | return soft(ua.s, ub.s, s); | |
371 | } | |
372 | ||
373 | static inline float64 | |
374 | float64_gen2(float64 xa, float64 xb, float_status *s, | |
375 | hard_f64_op2_fn hard, soft_f64_op2_fn soft, | |
b240c9c4 | 376 | f64_check_fn pre, f64_check_fn post) |
a94b7839 EC |
377 | { |
378 | union_float64 ua, ub, ur; | |
379 | ||
380 | ua.s = xa; | |
381 | ub.s = xb; | |
382 | ||
383 | if (unlikely(!can_use_fpu(s))) { | |
384 | goto soft; | |
385 | } | |
386 | ||
387 | float64_input_flush2(&ua.s, &ub.s, s); | |
388 | if (unlikely(!pre(ua, ub))) { | |
389 | goto soft; | |
390 | } | |
a94b7839 EC |
391 | |
392 | ur.h = hard(ua.h, ub.h); | |
393 | if (unlikely(f64_is_inf(ur))) { | |
d82f3b2d | 394 | float_raise(float_flag_overflow, s); |
b240c9c4 RH |
395 | } else if (unlikely(fabs(ur.h) <= DBL_MIN) && post(ua, ub)) { |
396 | goto soft; | |
a94b7839 EC |
397 | } |
398 | return ur.s; | |
399 | ||
400 | soft: | |
401 | return soft(ua.s, ub.s, s); | |
402 | } | |
403 | ||
a90119b5 AB |
404 | /* |
405 | * Classify a floating point number. Everything above float_class_qnan | |
406 | * is a NaN so cls >= float_class_qnan is any NaN. | |
407 | */ | |
408 | ||
409 | typedef enum __attribute__ ((__packed__)) { | |
410 | float_class_unclassified, | |
411 | float_class_zero, | |
412 | float_class_normal, | |
413 | float_class_inf, | |
414 | float_class_qnan, /* all NaNs from here */ | |
415 | float_class_snan, | |
a90119b5 AB |
416 | } FloatClass; |
417 | ||
134eda00 RH |
418 | #define float_cmask(bit) (1u << (bit)) |
419 | ||
420 | enum { | |
421 | float_cmask_zero = float_cmask(float_class_zero), | |
422 | float_cmask_normal = float_cmask(float_class_normal), | |
423 | float_cmask_inf = float_cmask(float_class_inf), | |
424 | float_cmask_qnan = float_cmask(float_class_qnan), | |
425 | float_cmask_snan = float_cmask(float_class_snan), | |
426 | ||
427 | float_cmask_infzero = float_cmask_zero | float_cmask_inf, | |
428 | float_cmask_anynan = float_cmask_qnan | float_cmask_snan, | |
429 | }; | |
430 | ||
e1c4667a RH |
431 | /* Flags for parts_minmax. */ |
432 | enum { | |
433 | /* Set for minimum; clear for maximum. */ | |
434 | minmax_ismin = 1, | |
435 | /* Set for the IEEE 754-2008 minNum() and maxNum() operations. */ | |
436 | minmax_isnum = 2, | |
437 | /* Set for the IEEE 754-2008 minNumMag() and minNumMag() operations. */ | |
438 | minmax_ismag = 4, | |
439 | }; | |
134eda00 | 440 | |
247d1f21 RH |
441 | /* Simple helpers for checking if, or what kind of, NaN we have */ |
442 | static inline __attribute__((unused)) bool is_nan(FloatClass c) | |
443 | { | |
444 | return unlikely(c >= float_class_qnan); | |
445 | } | |
446 | ||
447 | static inline __attribute__((unused)) bool is_snan(FloatClass c) | |
448 | { | |
449 | return c == float_class_snan; | |
450 | } | |
451 | ||
452 | static inline __attribute__((unused)) bool is_qnan(FloatClass c) | |
453 | { | |
454 | return c == float_class_qnan; | |
455 | } | |
456 | ||
a90119b5 | 457 | /* |
0018b1f4 RH |
458 | * Structure holding all of the decomposed parts of a float. |
459 | * The exponent is unbiased and the fraction is normalized. | |
a90119b5 | 460 | * |
0018b1f4 RH |
461 | * The fraction words are stored in big-endian word ordering, |
462 | * so that truncation from a larger format to a smaller format | |
463 | * can be done simply by ignoring subsequent elements. | |
a90119b5 AB |
464 | */ |
465 | ||
466 | typedef struct { | |
a90119b5 AB |
467 | FloatClass cls; |
468 | bool sign; | |
4109b9ea RH |
469 | int32_t exp; |
470 | union { | |
471 | /* Routines that know the structure may reference the singular name. */ | |
472 | uint64_t frac; | |
473 | /* | |
474 | * Routines expanded with multiple structures reference "hi" and "lo" | |
475 | * depending on the operation. In FloatParts64, "hi" and "lo" are | |
476 | * both the same word and aliased here. | |
477 | */ | |
478 | uint64_t frac_hi; | |
479 | uint64_t frac_lo; | |
480 | }; | |
f8155c1d | 481 | } FloatParts64; |
a90119b5 | 482 | |
0018b1f4 RH |
483 | typedef struct { |
484 | FloatClass cls; | |
485 | bool sign; | |
486 | int32_t exp; | |
487 | uint64_t frac_hi; | |
488 | uint64_t frac_lo; | |
489 | } FloatParts128; | |
490 | ||
aca84527 RH |
491 | typedef struct { |
492 | FloatClass cls; | |
493 | bool sign; | |
494 | int32_t exp; | |
495 | uint64_t frac_hi; | |
496 | uint64_t frac_hm; /* high-middle */ | |
497 | uint64_t frac_lm; /* low-middle */ | |
498 | uint64_t frac_lo; | |
499 | } FloatParts256; | |
500 | ||
0018b1f4 | 501 | /* These apply to the most significant word of each FloatPartsN. */ |
e99c4373 | 502 | #define DECOMPOSED_BINARY_POINT 63 |
a90119b5 | 503 | #define DECOMPOSED_IMPLICIT_BIT (1ull << DECOMPOSED_BINARY_POINT) |
a90119b5 AB |
504 | |
505 | /* Structure holding all of the relevant parameters for a format. | |
506 | * exp_size: the size of the exponent field | |
507 | * exp_bias: the offset applied to the exponent field | |
508 | * exp_max: the maximum normalised exponent | |
509 | * frac_size: the size of the fraction field | |
510 | * frac_shift: shift to normalise the fraction with DECOMPOSED_BINARY_POINT | |
511 | * The following are computed based the size of fraction | |
d6e1f0cd | 512 | * round_mask: bits below lsb which must be rounded |
ca3a3d5a AB |
513 | * The following optional modifiers are available: |
514 | * arm_althp: handle ARM Alternative Half Precision | |
a90119b5 AB |
515 | */ |
516 | typedef struct { | |
517 | int exp_size; | |
518 | int exp_bias; | |
519 | int exp_max; | |
520 | int frac_size; | |
521 | int frac_shift; | |
ca3a3d5a | 522 | bool arm_althp; |
d6e1f0cd | 523 | uint64_t round_mask; |
a90119b5 AB |
524 | } FloatFmt; |
525 | ||
526 | /* Expand fields based on the size of exponent and fraction */ | |
c1b6299b | 527 | #define FLOAT_PARAMS_(E) \ |
d6e1f0cd RH |
528 | .exp_size = E, \ |
529 | .exp_bias = ((1 << E) - 1) >> 1, \ | |
c1b6299b | 530 | .exp_max = (1 << E) - 1 |
d6e1f0cd RH |
531 | |
532 | #define FLOAT_PARAMS(E, F) \ | |
c1b6299b RH |
533 | FLOAT_PARAMS_(E), \ |
534 | .frac_size = F, \ | |
d6e1f0cd RH |
535 | .frac_shift = (-F - 1) & 63, \ |
536 | .round_mask = (1ull << ((-F - 1) & 63)) - 1 | |
a90119b5 AB |
537 | |
538 | static const FloatFmt float16_params = { | |
539 | FLOAT_PARAMS(5, 10) | |
540 | }; | |
541 | ||
6fed16b2 AB |
542 | static const FloatFmt float16_params_ahp = { |
543 | FLOAT_PARAMS(5, 10), | |
544 | .arm_althp = true | |
545 | }; | |
546 | ||
8282310d LZ |
547 | static const FloatFmt bfloat16_params = { |
548 | FLOAT_PARAMS(8, 7) | |
549 | }; | |
550 | ||
a90119b5 AB |
551 | static const FloatFmt float32_params = { |
552 | FLOAT_PARAMS(8, 23) | |
553 | }; | |
554 | ||
555 | static const FloatFmt float64_params = { | |
556 | FLOAT_PARAMS(11, 52) | |
557 | }; | |
558 | ||
0018b1f4 RH |
559 | static const FloatFmt float128_params = { |
560 | FLOAT_PARAMS(15, 112) | |
561 | }; | |
562 | ||
c1b6299b RH |
563 | #define FLOATX80_PARAMS(R) \ |
564 | FLOAT_PARAMS_(15), \ | |
565 | .frac_size = R == 64 ? 63 : R, \ | |
566 | .frac_shift = 0, \ | |
567 | .round_mask = R == 64 ? -1 : (1ull << ((-R - 1) & 63)) - 1 | |
568 | ||
569 | static const FloatFmt floatx80_params[3] = { | |
570 | [floatx80_precision_s] = { FLOATX80_PARAMS(23) }, | |
571 | [floatx80_precision_d] = { FLOATX80_PARAMS(52) }, | |
572 | [floatx80_precision_x] = { FLOATX80_PARAMS(64) }, | |
573 | }; | |
574 | ||
6fff2167 | 575 | /* Unpack a float to parts, but do not canonicalize. */ |
d8fdd172 | 576 | static void unpack_raw64(FloatParts64 *r, const FloatFmt *fmt, uint64_t raw) |
6fff2167 | 577 | { |
d8fdd172 RH |
578 | const int f_size = fmt->frac_size; |
579 | const int e_size = fmt->exp_size; | |
6fff2167 | 580 | |
d8fdd172 | 581 | *r = (FloatParts64) { |
6fff2167 | 582 | .cls = float_class_unclassified, |
d8fdd172 RH |
583 | .sign = extract64(raw, f_size + e_size, 1), |
584 | .exp = extract64(raw, f_size, e_size), | |
585 | .frac = extract64(raw, 0, f_size) | |
6fff2167 AB |
586 | }; |
587 | } | |
588 | ||
3dddb203 | 589 | static inline void float16_unpack_raw(FloatParts64 *p, float16 f) |
6fff2167 | 590 | { |
3dddb203 | 591 | unpack_raw64(p, &float16_params, f); |
6fff2167 AB |
592 | } |
593 | ||
3dddb203 | 594 | static inline void bfloat16_unpack_raw(FloatParts64 *p, bfloat16 f) |
8282310d | 595 | { |
3dddb203 | 596 | unpack_raw64(p, &bfloat16_params, f); |
8282310d LZ |
597 | } |
598 | ||
3dddb203 | 599 | static inline void float32_unpack_raw(FloatParts64 *p, float32 f) |
6fff2167 | 600 | { |
3dddb203 | 601 | unpack_raw64(p, &float32_params, f); |
6fff2167 AB |
602 | } |
603 | ||
3dddb203 | 604 | static inline void float64_unpack_raw(FloatParts64 *p, float64 f) |
6fff2167 | 605 | { |
3dddb203 | 606 | unpack_raw64(p, &float64_params, f); |
6fff2167 AB |
607 | } |
608 | ||
c1b6299b RH |
609 | static void floatx80_unpack_raw(FloatParts128 *p, floatx80 f) |
610 | { | |
611 | *p = (FloatParts128) { | |
612 | .cls = float_class_unclassified, | |
613 | .sign = extract32(f.high, 15, 1), | |
614 | .exp = extract32(f.high, 0, 15), | |
615 | .frac_hi = f.low | |
616 | }; | |
617 | } | |
618 | ||
0018b1f4 RH |
619 | static void float128_unpack_raw(FloatParts128 *p, float128 f) |
620 | { | |
621 | const int f_size = float128_params.frac_size - 64; | |
622 | const int e_size = float128_params.exp_size; | |
623 | ||
624 | *p = (FloatParts128) { | |
625 | .cls = float_class_unclassified, | |
626 | .sign = extract64(f.high, f_size + e_size, 1), | |
627 | .exp = extract64(f.high, f_size, e_size), | |
628 | .frac_hi = extract64(f.high, 0, f_size), | |
629 | .frac_lo = f.low, | |
630 | }; | |
631 | } | |
632 | ||
6fff2167 | 633 | /* Pack a float from parts, but do not canonicalize. */ |
9e4af58c | 634 | static uint64_t pack_raw64(const FloatParts64 *p, const FloatFmt *fmt) |
6fff2167 | 635 | { |
9e4af58c RH |
636 | const int f_size = fmt->frac_size; |
637 | const int e_size = fmt->exp_size; | |
638 | uint64_t ret; | |
639 | ||
640 | ret = (uint64_t)p->sign << (f_size + e_size); | |
641 | ret = deposit64(ret, f_size, e_size, p->exp); | |
642 | ret = deposit64(ret, 0, f_size, p->frac); | |
643 | return ret; | |
6fff2167 AB |
644 | } |
645 | ||
71fd178e | 646 | static inline float16 float16_pack_raw(const FloatParts64 *p) |
6fff2167 | 647 | { |
71fd178e | 648 | return make_float16(pack_raw64(p, &float16_params)); |
6fff2167 AB |
649 | } |
650 | ||
71fd178e | 651 | static inline bfloat16 bfloat16_pack_raw(const FloatParts64 *p) |
8282310d | 652 | { |
71fd178e | 653 | return pack_raw64(p, &bfloat16_params); |
8282310d LZ |
654 | } |
655 | ||
71fd178e | 656 | static inline float32 float32_pack_raw(const FloatParts64 *p) |
6fff2167 | 657 | { |
71fd178e | 658 | return make_float32(pack_raw64(p, &float32_params)); |
6fff2167 AB |
659 | } |
660 | ||
71fd178e | 661 | static inline float64 float64_pack_raw(const FloatParts64 *p) |
6fff2167 | 662 | { |
71fd178e | 663 | return make_float64(pack_raw64(p, &float64_params)); |
6fff2167 AB |
664 | } |
665 | ||
0018b1f4 RH |
666 | static float128 float128_pack_raw(const FloatParts128 *p) |
667 | { | |
668 | const int f_size = float128_params.frac_size - 64; | |
669 | const int e_size = float128_params.exp_size; | |
670 | uint64_t hi; | |
671 | ||
672 | hi = (uint64_t)p->sign << (f_size + e_size); | |
673 | hi = deposit64(hi, f_size, e_size, p->exp); | |
674 | hi = deposit64(hi, 0, f_size, p->frac_hi); | |
675 | return make_float128(hi, p->frac_lo); | |
676 | } | |
677 | ||
0664335a RH |
678 | /*---------------------------------------------------------------------------- |
679 | | Functions and definitions to determine: (1) whether tininess for underflow | |
680 | | is detected before or after rounding by default, (2) what (if anything) | |
681 | | happens when exceptions are raised, (3) how signaling NaNs are distinguished | |
682 | | from quiet NaNs, (4) the default generated quiet NaNs, and (5) how NaNs | |
683 | | are propagated from function inputs to output. These details are target- | |
684 | | specific. | |
685 | *----------------------------------------------------------------------------*/ | |
139c1837 | 686 | #include "softfloat-specialize.c.inc" |
0664335a | 687 | |
0018b1f4 | 688 | #define PARTS_GENERIC_64_128(NAME, P) \ |
6c06aca0 RH |
689 | _Generic((P), FloatParts64 *: parts64_##NAME, \ |
690 | FloatParts128 *: parts128_##NAME) | |
0018b1f4 | 691 | |
dedd123c | 692 | #define PARTS_GENERIC_64_128_256(NAME, P) \ |
6c06aca0 RH |
693 | _Generic((P), FloatParts64 *: parts64_##NAME, \ |
694 | FloatParts128 *: parts128_##NAME, \ | |
695 | FloatParts256 *: parts256_##NAME) | |
dedd123c | 696 | |
e9034ea8 | 697 | #define parts_default_nan(P, S) PARTS_GENERIC_64_128(default_nan, P)(P, S) |
0018b1f4 RH |
698 | #define parts_silence_nan(P, S) PARTS_GENERIC_64_128(silence_nan, P)(P, S) |
699 | ||
7c45bad8 RH |
700 | static void parts64_return_nan(FloatParts64 *a, float_status *s); |
701 | static void parts128_return_nan(FloatParts128 *a, float_status *s); | |
702 | ||
703 | #define parts_return_nan(P, S) PARTS_GENERIC_64_128(return_nan, P)(P, S) | |
0018b1f4 | 704 | |
22c355f4 RH |
705 | static FloatParts64 *parts64_pick_nan(FloatParts64 *a, FloatParts64 *b, |
706 | float_status *s); | |
707 | static FloatParts128 *parts128_pick_nan(FloatParts128 *a, FloatParts128 *b, | |
708 | float_status *s); | |
709 | ||
710 | #define parts_pick_nan(A, B, S) PARTS_GENERIC_64_128(pick_nan, A)(A, B, S) | |
711 | ||
979582d0 RH |
712 | static FloatParts64 *parts64_pick_nan_muladd(FloatParts64 *a, FloatParts64 *b, |
713 | FloatParts64 *c, float_status *s, | |
714 | int ab_mask, int abc_mask); | |
715 | static FloatParts128 *parts128_pick_nan_muladd(FloatParts128 *a, | |
716 | FloatParts128 *b, | |
717 | FloatParts128 *c, | |
718 | float_status *s, | |
719 | int ab_mask, int abc_mask); | |
720 | ||
721 | #define parts_pick_nan_muladd(A, B, C, S, ABM, ABCM) \ | |
722 | PARTS_GENERIC_64_128(pick_nan_muladd, A)(A, B, C, S, ABM, ABCM) | |
723 | ||
d46975bc RH |
724 | static void parts64_canonicalize(FloatParts64 *p, float_status *status, |
725 | const FloatFmt *fmt); | |
726 | static void parts128_canonicalize(FloatParts128 *p, float_status *status, | |
727 | const FloatFmt *fmt); | |
728 | ||
729 | #define parts_canonicalize(A, S, F) \ | |
730 | PARTS_GENERIC_64_128(canonicalize, A)(A, S, F) | |
731 | ||
25fdedf0 RH |
732 | static void parts64_uncanon_normal(FloatParts64 *p, float_status *status, |
733 | const FloatFmt *fmt); | |
734 | static void parts128_uncanon_normal(FloatParts128 *p, float_status *status, | |
735 | const FloatFmt *fmt); | |
736 | ||
737 | #define parts_uncanon_normal(A, S, F) \ | |
738 | PARTS_GENERIC_64_128(uncanon_normal, A)(A, S, F) | |
739 | ||
ee6959f2 RH |
740 | static void parts64_uncanon(FloatParts64 *p, float_status *status, |
741 | const FloatFmt *fmt); | |
742 | static void parts128_uncanon(FloatParts128 *p, float_status *status, | |
743 | const FloatFmt *fmt); | |
744 | ||
745 | #define parts_uncanon(A, S, F) \ | |
746 | PARTS_GENERIC_64_128(uncanon, A)(A, S, F) | |
747 | ||
da10a907 RH |
748 | static void parts64_add_normal(FloatParts64 *a, FloatParts64 *b); |
749 | static void parts128_add_normal(FloatParts128 *a, FloatParts128 *b); | |
dedd123c | 750 | static void parts256_add_normal(FloatParts256 *a, FloatParts256 *b); |
da10a907 RH |
751 | |
752 | #define parts_add_normal(A, B) \ | |
dedd123c | 753 | PARTS_GENERIC_64_128_256(add_normal, A)(A, B) |
da10a907 RH |
754 | |
755 | static bool parts64_sub_normal(FloatParts64 *a, FloatParts64 *b); | |
756 | static bool parts128_sub_normal(FloatParts128 *a, FloatParts128 *b); | |
dedd123c | 757 | static bool parts256_sub_normal(FloatParts256 *a, FloatParts256 *b); |
da10a907 RH |
758 | |
759 | #define parts_sub_normal(A, B) \ | |
dedd123c | 760 | PARTS_GENERIC_64_128_256(sub_normal, A)(A, B) |
da10a907 RH |
761 | |
762 | static FloatParts64 *parts64_addsub(FloatParts64 *a, FloatParts64 *b, | |
763 | float_status *s, bool subtract); | |
764 | static FloatParts128 *parts128_addsub(FloatParts128 *a, FloatParts128 *b, | |
765 | float_status *s, bool subtract); | |
766 | ||
767 | #define parts_addsub(A, B, S, Z) \ | |
768 | PARTS_GENERIC_64_128(addsub, A)(A, B, S, Z) | |
769 | ||
aca84527 RH |
770 | static FloatParts64 *parts64_mul(FloatParts64 *a, FloatParts64 *b, |
771 | float_status *s); | |
772 | static FloatParts128 *parts128_mul(FloatParts128 *a, FloatParts128 *b, | |
773 | float_status *s); | |
774 | ||
775 | #define parts_mul(A, B, S) \ | |
776 | PARTS_GENERIC_64_128(mul, A)(A, B, S) | |
777 | ||
dedd123c RH |
778 | static FloatParts64 *parts64_muladd(FloatParts64 *a, FloatParts64 *b, |
779 | FloatParts64 *c, int flags, | |
780 | float_status *s); | |
781 | static FloatParts128 *parts128_muladd(FloatParts128 *a, FloatParts128 *b, | |
782 | FloatParts128 *c, int flags, | |
783 | float_status *s); | |
784 | ||
785 | #define parts_muladd(A, B, C, Z, S) \ | |
786 | PARTS_GENERIC_64_128(muladd, A)(A, B, C, Z, S) | |
787 | ||
ec961b81 RH |
788 | static FloatParts64 *parts64_div(FloatParts64 *a, FloatParts64 *b, |
789 | float_status *s); | |
790 | static FloatParts128 *parts128_div(FloatParts128 *a, FloatParts128 *b, | |
791 | float_status *s); | |
792 | ||
793 | #define parts_div(A, B, S) \ | |
794 | PARTS_GENERIC_64_128(div, A)(A, B, S) | |
795 | ||
feaf2e9c RH |
796 | static FloatParts64 *parts64_modrem(FloatParts64 *a, FloatParts64 *b, |
797 | uint64_t *mod_quot, float_status *s); | |
798 | static FloatParts128 *parts128_modrem(FloatParts128 *a, FloatParts128 *b, | |
799 | uint64_t *mod_quot, float_status *s); | |
800 | ||
801 | #define parts_modrem(A, B, Q, S) \ | |
802 | PARTS_GENERIC_64_128(modrem, A)(A, B, Q, S) | |
803 | ||
9261b245 RH |
804 | static void parts64_sqrt(FloatParts64 *a, float_status *s, const FloatFmt *f); |
805 | static void parts128_sqrt(FloatParts128 *a, float_status *s, const FloatFmt *f); | |
806 | ||
807 | #define parts_sqrt(A, S, F) \ | |
808 | PARTS_GENERIC_64_128(sqrt, A)(A, S, F) | |
809 | ||
afc34931 RH |
810 | static bool parts64_round_to_int_normal(FloatParts64 *a, FloatRoundMode rm, |
811 | int scale, int frac_size); | |
812 | static bool parts128_round_to_int_normal(FloatParts128 *a, FloatRoundMode r, | |
813 | int scale, int frac_size); | |
814 | ||
815 | #define parts_round_to_int_normal(A, R, C, F) \ | |
816 | PARTS_GENERIC_64_128(round_to_int_normal, A)(A, R, C, F) | |
817 | ||
818 | static void parts64_round_to_int(FloatParts64 *a, FloatRoundMode rm, | |
819 | int scale, float_status *s, | |
820 | const FloatFmt *fmt); | |
821 | static void parts128_round_to_int(FloatParts128 *a, FloatRoundMode r, | |
822 | int scale, float_status *s, | |
823 | const FloatFmt *fmt); | |
824 | ||
825 | #define parts_round_to_int(A, R, C, S, F) \ | |
826 | PARTS_GENERIC_64_128(round_to_int, A)(A, R, C, S, F) | |
827 | ||
463b3f0d RH |
828 | static int64_t parts64_float_to_sint(FloatParts64 *p, FloatRoundMode rmode, |
829 | int scale, int64_t min, int64_t max, | |
830 | float_status *s); | |
831 | static int64_t parts128_float_to_sint(FloatParts128 *p, FloatRoundMode rmode, | |
832 | int scale, int64_t min, int64_t max, | |
833 | float_status *s); | |
834 | ||
835 | #define parts_float_to_sint(P, R, Z, MN, MX, S) \ | |
836 | PARTS_GENERIC_64_128(float_to_sint, P)(P, R, Z, MN, MX, S) | |
837 | ||
4ab4aef0 RH |
838 | static uint64_t parts64_float_to_uint(FloatParts64 *p, FloatRoundMode rmode, |
839 | int scale, uint64_t max, | |
840 | float_status *s); | |
841 | static uint64_t parts128_float_to_uint(FloatParts128 *p, FloatRoundMode rmode, | |
842 | int scale, uint64_t max, | |
843 | float_status *s); | |
844 | ||
845 | #define parts_float_to_uint(P, R, Z, M, S) \ | |
846 | PARTS_GENERIC_64_128(float_to_uint, P)(P, R, Z, M, S) | |
847 | ||
e3689519 RH |
848 | static void parts64_sint_to_float(FloatParts64 *p, int64_t a, |
849 | int scale, float_status *s); | |
850 | static void parts128_sint_to_float(FloatParts128 *p, int64_t a, | |
851 | int scale, float_status *s); | |
852 | ||
853 | #define parts_sint_to_float(P, I, Z, S) \ | |
854 | PARTS_GENERIC_64_128(sint_to_float, P)(P, I, Z, S) | |
855 | ||
37c954a1 RH |
856 | static void parts64_uint_to_float(FloatParts64 *p, uint64_t a, |
857 | int scale, float_status *s); | |
858 | static void parts128_uint_to_float(FloatParts128 *p, uint64_t a, | |
859 | int scale, float_status *s); | |
860 | ||
861 | #define parts_uint_to_float(P, I, Z, S) \ | |
862 | PARTS_GENERIC_64_128(uint_to_float, P)(P, I, Z, S) | |
863 | ||
e1c4667a RH |
864 | static FloatParts64 *parts64_minmax(FloatParts64 *a, FloatParts64 *b, |
865 | float_status *s, int flags); | |
866 | static FloatParts128 *parts128_minmax(FloatParts128 *a, FloatParts128 *b, | |
867 | float_status *s, int flags); | |
868 | ||
869 | #define parts_minmax(A, B, S, F) \ | |
870 | PARTS_GENERIC_64_128(minmax, A)(A, B, S, F) | |
871 | ||
6eb169b8 RH |
872 | static int parts64_compare(FloatParts64 *a, FloatParts64 *b, |
873 | float_status *s, bool q); | |
874 | static int parts128_compare(FloatParts128 *a, FloatParts128 *b, | |
875 | float_status *s, bool q); | |
876 | ||
877 | #define parts_compare(A, B, S, Q) \ | |
878 | PARTS_GENERIC_64_128(compare, A)(A, B, S, Q) | |
879 | ||
39626b0c RH |
880 | static void parts64_scalbn(FloatParts64 *a, int n, float_status *s); |
881 | static void parts128_scalbn(FloatParts128 *a, int n, float_status *s); | |
882 | ||
883 | #define parts_scalbn(A, N, S) \ | |
884 | PARTS_GENERIC_64_128(scalbn, A)(A, N, S) | |
885 | ||
2fa3546c RH |
886 | static void parts64_log2(FloatParts64 *a, float_status *s, const FloatFmt *f); |
887 | static void parts128_log2(FloatParts128 *a, float_status *s, const FloatFmt *f); | |
888 | ||
889 | #define parts_log2(A, S, F) \ | |
890 | PARTS_GENERIC_64_128(log2, A)(A, S, F) | |
891 | ||
0018b1f4 RH |
892 | /* |
893 | * Helper functions for softfloat-parts.c.inc, per-size operations. | |
894 | */ | |
895 | ||
22c355f4 | 896 | #define FRAC_GENERIC_64_128(NAME, P) \ |
6c06aca0 RH |
897 | _Generic((P), FloatParts64 *: frac64_##NAME, \ |
898 | FloatParts128 *: frac128_##NAME) | |
22c355f4 | 899 | |
dedd123c | 900 | #define FRAC_GENERIC_64_128_256(NAME, P) \ |
6c06aca0 RH |
901 | _Generic((P), FloatParts64 *: frac64_##NAME, \ |
902 | FloatParts128 *: frac128_##NAME, \ | |
903 | FloatParts256 *: frac256_##NAME) | |
dedd123c | 904 | |
da10a907 RH |
905 | static bool frac64_add(FloatParts64 *r, FloatParts64 *a, FloatParts64 *b) |
906 | { | |
907 | return uadd64_overflow(a->frac, b->frac, &r->frac); | |
908 | } | |
909 | ||
910 | static bool frac128_add(FloatParts128 *r, FloatParts128 *a, FloatParts128 *b) | |
911 | { | |
912 | bool c = 0; | |
913 | r->frac_lo = uadd64_carry(a->frac_lo, b->frac_lo, &c); | |
914 | r->frac_hi = uadd64_carry(a->frac_hi, b->frac_hi, &c); | |
915 | return c; | |
916 | } | |
917 | ||
dedd123c RH |
918 | static bool frac256_add(FloatParts256 *r, FloatParts256 *a, FloatParts256 *b) |
919 | { | |
920 | bool c = 0; | |
921 | r->frac_lo = uadd64_carry(a->frac_lo, b->frac_lo, &c); | |
922 | r->frac_lm = uadd64_carry(a->frac_lm, b->frac_lm, &c); | |
923 | r->frac_hm = uadd64_carry(a->frac_hm, b->frac_hm, &c); | |
924 | r->frac_hi = uadd64_carry(a->frac_hi, b->frac_hi, &c); | |
925 | return c; | |
926 | } | |
927 | ||
928 | #define frac_add(R, A, B) FRAC_GENERIC_64_128_256(add, R)(R, A, B) | |
da10a907 | 929 | |
ee6959f2 RH |
930 | static bool frac64_addi(FloatParts64 *r, FloatParts64 *a, uint64_t c) |
931 | { | |
932 | return uadd64_overflow(a->frac, c, &r->frac); | |
933 | } | |
934 | ||
935 | static bool frac128_addi(FloatParts128 *r, FloatParts128 *a, uint64_t c) | |
936 | { | |
937 | c = uadd64_overflow(a->frac_lo, c, &r->frac_lo); | |
938 | return uadd64_overflow(a->frac_hi, c, &r->frac_hi); | |
939 | } | |
940 | ||
941 | #define frac_addi(R, A, C) FRAC_GENERIC_64_128(addi, R)(R, A, C) | |
942 | ||
943 | static void frac64_allones(FloatParts64 *a) | |
944 | { | |
945 | a->frac = -1; | |
946 | } | |
947 | ||
948 | static void frac128_allones(FloatParts128 *a) | |
949 | { | |
950 | a->frac_hi = a->frac_lo = -1; | |
951 | } | |
952 | ||
953 | #define frac_allones(A) FRAC_GENERIC_64_128(allones, A)(A) | |
954 | ||
22c355f4 RH |
955 | static int frac64_cmp(FloatParts64 *a, FloatParts64 *b) |
956 | { | |
957 | return a->frac == b->frac ? 0 : a->frac < b->frac ? -1 : 1; | |
958 | } | |
959 | ||
960 | static int frac128_cmp(FloatParts128 *a, FloatParts128 *b) | |
961 | { | |
962 | uint64_t ta = a->frac_hi, tb = b->frac_hi; | |
963 | if (ta == tb) { | |
964 | ta = a->frac_lo, tb = b->frac_lo; | |
965 | if (ta == tb) { | |
966 | return 0; | |
967 | } | |
968 | } | |
969 | return ta < tb ? -1 : 1; | |
970 | } | |
971 | ||
972 | #define frac_cmp(A, B) FRAC_GENERIC_64_128(cmp, A)(A, B) | |
973 | ||
d46975bc | 974 | static void frac64_clear(FloatParts64 *a) |
0018b1f4 | 975 | { |
d46975bc RH |
976 | a->frac = 0; |
977 | } | |
978 | ||
979 | static void frac128_clear(FloatParts128 *a) | |
980 | { | |
981 | a->frac_hi = a->frac_lo = 0; | |
0018b1f4 RH |
982 | } |
983 | ||
d46975bc | 984 | #define frac_clear(A) FRAC_GENERIC_64_128(clear, A)(A) |
0018b1f4 | 985 | |
ec961b81 RH |
986 | static bool frac64_div(FloatParts64 *a, FloatParts64 *b) |
987 | { | |
988 | uint64_t n1, n0, r, q; | |
989 | bool ret; | |
990 | ||
991 | /* | |
992 | * We want a 2*N / N-bit division to produce exactly an N-bit | |
993 | * result, so that we do not lose any precision and so that we | |
994 | * do not have to renormalize afterward. If A.frac < B.frac, | |
995 | * then division would produce an (N-1)-bit result; shift A left | |
996 | * by one to produce the an N-bit result, and return true to | |
997 | * decrement the exponent to match. | |
998 | * | |
999 | * The udiv_qrnnd algorithm that we're using requires normalization, | |
1000 | * i.e. the msb of the denominator must be set, which is already true. | |
1001 | */ | |
1002 | ret = a->frac < b->frac; | |
1003 | if (ret) { | |
1004 | n0 = a->frac; | |
1005 | n1 = 0; | |
1006 | } else { | |
1007 | n0 = a->frac >> 1; | |
1008 | n1 = a->frac << 63; | |
1009 | } | |
1010 | q = udiv_qrnnd(&r, n0, n1, b->frac); | |
1011 | ||
1012 | /* Set lsb if there is a remainder, to set inexact. */ | |
1013 | a->frac = q | (r != 0); | |
1014 | ||
1015 | return ret; | |
1016 | } | |
1017 | ||
1018 | static bool frac128_div(FloatParts128 *a, FloatParts128 *b) | |
1019 | { | |
1020 | uint64_t q0, q1, a0, a1, b0, b1; | |
1021 | uint64_t r0, r1, r2, r3, t0, t1, t2, t3; | |
1022 | bool ret = false; | |
1023 | ||
1024 | a0 = a->frac_hi, a1 = a->frac_lo; | |
1025 | b0 = b->frac_hi, b1 = b->frac_lo; | |
1026 | ||
1027 | ret = lt128(a0, a1, b0, b1); | |
1028 | if (!ret) { | |
1029 | a1 = shr_double(a0, a1, 1); | |
1030 | a0 = a0 >> 1; | |
1031 | } | |
1032 | ||
1033 | /* Use 128/64 -> 64 division as estimate for 192/128 -> 128 division. */ | |
1034 | q0 = estimateDiv128To64(a0, a1, b0); | |
1035 | ||
1036 | /* | |
1037 | * Estimate is high because B1 was not included (unless B1 == 0). | |
1038 | * Reduce quotient and increase remainder until remainder is non-negative. | |
1039 | * This loop will execute 0 to 2 times. | |
1040 | */ | |
1041 | mul128By64To192(b0, b1, q0, &t0, &t1, &t2); | |
1042 | sub192(a0, a1, 0, t0, t1, t2, &r0, &r1, &r2); | |
1043 | while (r0 != 0) { | |
1044 | q0--; | |
1045 | add192(r0, r1, r2, 0, b0, b1, &r0, &r1, &r2); | |
1046 | } | |
1047 | ||
1048 | /* Repeat using the remainder, producing a second word of quotient. */ | |
1049 | q1 = estimateDiv128To64(r1, r2, b0); | |
1050 | mul128By64To192(b0, b1, q1, &t1, &t2, &t3); | |
1051 | sub192(r1, r2, 0, t1, t2, t3, &r1, &r2, &r3); | |
1052 | while (r1 != 0) { | |
1053 | q1--; | |
1054 | add192(r1, r2, r3, 0, b0, b1, &r1, &r2, &r3); | |
1055 | } | |
1056 | ||
1057 | /* Any remainder indicates inexact; set sticky bit. */ | |
1058 | q1 |= (r2 | r3) != 0; | |
1059 | ||
1060 | a->frac_hi = q0; | |
1061 | a->frac_lo = q1; | |
1062 | return ret; | |
1063 | } | |
1064 | ||
1065 | #define frac_div(A, B) FRAC_GENERIC_64_128(div, A)(A, B) | |
1066 | ||
d46975bc | 1067 | static bool frac64_eqz(FloatParts64 *a) |
0018b1f4 | 1068 | { |
d46975bc RH |
1069 | return a->frac == 0; |
1070 | } | |
1071 | ||
1072 | static bool frac128_eqz(FloatParts128 *a) | |
1073 | { | |
1074 | return (a->frac_hi | a->frac_lo) == 0; | |
0018b1f4 RH |
1075 | } |
1076 | ||
d46975bc | 1077 | #define frac_eqz(A) FRAC_GENERIC_64_128(eqz, A)(A) |
0fc07cad | 1078 | |
aca84527 RH |
1079 | static void frac64_mulw(FloatParts128 *r, FloatParts64 *a, FloatParts64 *b) |
1080 | { | |
1081 | mulu64(&r->frac_lo, &r->frac_hi, a->frac, b->frac); | |
1082 | } | |
1083 | ||
1084 | static void frac128_mulw(FloatParts256 *r, FloatParts128 *a, FloatParts128 *b) | |
1085 | { | |
1086 | mul128To256(a->frac_hi, a->frac_lo, b->frac_hi, b->frac_lo, | |
1087 | &r->frac_hi, &r->frac_hm, &r->frac_lm, &r->frac_lo); | |
1088 | } | |
1089 | ||
1090 | #define frac_mulw(R, A, B) FRAC_GENERIC_64_128(mulw, A)(R, A, B) | |
1091 | ||
da10a907 RH |
1092 | static void frac64_neg(FloatParts64 *a) |
1093 | { | |
1094 | a->frac = -a->frac; | |
1095 | } | |
1096 | ||
1097 | static void frac128_neg(FloatParts128 *a) | |
1098 | { | |
1099 | bool c = 0; | |
1100 | a->frac_lo = usub64_borrow(0, a->frac_lo, &c); | |
1101 | a->frac_hi = usub64_borrow(0, a->frac_hi, &c); | |
1102 | } | |
1103 | ||
dedd123c RH |
1104 | static void frac256_neg(FloatParts256 *a) |
1105 | { | |
1106 | bool c = 0; | |
1107 | a->frac_lo = usub64_borrow(0, a->frac_lo, &c); | |
1108 | a->frac_lm = usub64_borrow(0, a->frac_lm, &c); | |
1109 | a->frac_hm = usub64_borrow(0, a->frac_hm, &c); | |
1110 | a->frac_hi = usub64_borrow(0, a->frac_hi, &c); | |
1111 | } | |
1112 | ||
1113 | #define frac_neg(A) FRAC_GENERIC_64_128_256(neg, A)(A) | |
da10a907 | 1114 | |
d46975bc | 1115 | static int frac64_normalize(FloatParts64 *a) |
6fff2167 | 1116 | { |
d46975bc RH |
1117 | if (a->frac) { |
1118 | int shift = clz64(a->frac); | |
1119 | a->frac <<= shift; | |
1120 | return shift; | |
1121 | } | |
1122 | return 64; | |
1123 | } | |
1124 | ||
1125 | static int frac128_normalize(FloatParts128 *a) | |
1126 | { | |
1127 | if (a->frac_hi) { | |
1128 | int shl = clz64(a->frac_hi); | |
463e45dc RH |
1129 | a->frac_hi = shl_double(a->frac_hi, a->frac_lo, shl); |
1130 | a->frac_lo <<= shl; | |
d46975bc RH |
1131 | return shl; |
1132 | } else if (a->frac_lo) { | |
1133 | int shl = clz64(a->frac_lo); | |
463e45dc | 1134 | a->frac_hi = a->frac_lo << shl; |
d46975bc RH |
1135 | a->frac_lo = 0; |
1136 | return shl + 64; | |
6fff2167 | 1137 | } |
d46975bc | 1138 | return 128; |
6fff2167 AB |
1139 | } |
1140 | ||
dedd123c RH |
1141 | static int frac256_normalize(FloatParts256 *a) |
1142 | { | |
1143 | uint64_t a0 = a->frac_hi, a1 = a->frac_hm; | |
1144 | uint64_t a2 = a->frac_lm, a3 = a->frac_lo; | |
463e45dc | 1145 | int ret, shl; |
dedd123c RH |
1146 | |
1147 | if (likely(a0)) { | |
1148 | shl = clz64(a0); | |
1149 | if (shl == 0) { | |
1150 | return 0; | |
1151 | } | |
1152 | ret = shl; | |
1153 | } else { | |
1154 | if (a1) { | |
1155 | ret = 64; | |
1156 | a0 = a1, a1 = a2, a2 = a3, a3 = 0; | |
1157 | } else if (a2) { | |
1158 | ret = 128; | |
1159 | a0 = a2, a1 = a3, a2 = 0, a3 = 0; | |
1160 | } else if (a3) { | |
1161 | ret = 192; | |
1162 | a0 = a3, a1 = 0, a2 = 0, a3 = 0; | |
1163 | } else { | |
1164 | ret = 256; | |
1165 | a0 = 0, a1 = 0, a2 = 0, a3 = 0; | |
1166 | goto done; | |
1167 | } | |
1168 | shl = clz64(a0); | |
1169 | if (shl == 0) { | |
1170 | goto done; | |
1171 | } | |
1172 | ret += shl; | |
1173 | } | |
1174 | ||
463e45dc RH |
1175 | a0 = shl_double(a0, a1, shl); |
1176 | a1 = shl_double(a1, a2, shl); | |
1177 | a2 = shl_double(a2, a3, shl); | |
1178 | a3 <<= shl; | |
dedd123c RH |
1179 | |
1180 | done: | |
1181 | a->frac_hi = a0; | |
1182 | a->frac_hm = a1; | |
1183 | a->frac_lm = a2; | |
1184 | a->frac_lo = a3; | |
1185 | return ret; | |
1186 | } | |
1187 | ||
1188 | #define frac_normalize(A) FRAC_GENERIC_64_128_256(normalize, A)(A) | |
d46975bc | 1189 | |
feaf2e9c RH |
1190 | static void frac64_modrem(FloatParts64 *a, FloatParts64 *b, uint64_t *mod_quot) |
1191 | { | |
1192 | uint64_t a0, a1, b0, t0, t1, q, quot; | |
1193 | int exp_diff = a->exp - b->exp; | |
1194 | int shift; | |
1195 | ||
1196 | a0 = a->frac; | |
1197 | a1 = 0; | |
1198 | ||
1199 | if (exp_diff < -1) { | |
1200 | if (mod_quot) { | |
1201 | *mod_quot = 0; | |
1202 | } | |
1203 | return; | |
1204 | } | |
1205 | if (exp_diff == -1) { | |
1206 | a0 >>= 1; | |
1207 | exp_diff = 0; | |
1208 | } | |
1209 | ||
1210 | b0 = b->frac; | |
1211 | quot = q = b0 <= a0; | |
1212 | if (q) { | |
1213 | a0 -= b0; | |
1214 | } | |
1215 | ||
1216 | exp_diff -= 64; | |
1217 | while (exp_diff > 0) { | |
1218 | q = estimateDiv128To64(a0, a1, b0); | |
1219 | q = q > 2 ? q - 2 : 0; | |
1220 | mul64To128(b0, q, &t0, &t1); | |
1221 | sub128(a0, a1, t0, t1, &a0, &a1); | |
1222 | shortShift128Left(a0, a1, 62, &a0, &a1); | |
1223 | exp_diff -= 62; | |
1224 | quot = (quot << 62) + q; | |
1225 | } | |
1226 | ||
1227 | exp_diff += 64; | |
1228 | if (exp_diff > 0) { | |
1229 | q = estimateDiv128To64(a0, a1, b0); | |
1230 | q = q > 2 ? (q - 2) >> (64 - exp_diff) : 0; | |
1231 | mul64To128(b0, q << (64 - exp_diff), &t0, &t1); | |
1232 | sub128(a0, a1, t0, t1, &a0, &a1); | |
1233 | shortShift128Left(0, b0, 64 - exp_diff, &t0, &t1); | |
1234 | while (le128(t0, t1, a0, a1)) { | |
1235 | ++q; | |
1236 | sub128(a0, a1, t0, t1, &a0, &a1); | |
1237 | } | |
1238 | quot = (exp_diff < 64 ? quot << exp_diff : 0) + q; | |
1239 | } else { | |
1240 | t0 = b0; | |
1241 | t1 = 0; | |
1242 | } | |
1243 | ||
1244 | if (mod_quot) { | |
1245 | *mod_quot = quot; | |
1246 | } else { | |
1247 | sub128(t0, t1, a0, a1, &t0, &t1); | |
1248 | if (lt128(t0, t1, a0, a1) || | |
1249 | (eq128(t0, t1, a0, a1) && (q & 1))) { | |
1250 | a0 = t0; | |
1251 | a1 = t1; | |
1252 | a->sign = !a->sign; | |
1253 | } | |
1254 | } | |
1255 | ||
1256 | if (likely(a0)) { | |
1257 | shift = clz64(a0); | |
1258 | shortShift128Left(a0, a1, shift, &a0, &a1); | |
1259 | } else if (likely(a1)) { | |
1260 | shift = clz64(a1); | |
1261 | a0 = a1 << shift; | |
1262 | a1 = 0; | |
1263 | shift += 64; | |
1264 | } else { | |
1265 | a->cls = float_class_zero; | |
1266 | return; | |
1267 | } | |
1268 | ||
1269 | a->exp = b->exp + exp_diff - shift; | |
1270 | a->frac = a0 | (a1 != 0); | |
1271 | } | |
1272 | ||
1273 | static void frac128_modrem(FloatParts128 *a, FloatParts128 *b, | |
1274 | uint64_t *mod_quot) | |
1275 | { | |
1276 | uint64_t a0, a1, a2, b0, b1, t0, t1, t2, q, quot; | |
1277 | int exp_diff = a->exp - b->exp; | |
1278 | int shift; | |
1279 | ||
1280 | a0 = a->frac_hi; | |
1281 | a1 = a->frac_lo; | |
1282 | a2 = 0; | |
1283 | ||
1284 | if (exp_diff < -1) { | |
1285 | if (mod_quot) { | |
1286 | *mod_quot = 0; | |
1287 | } | |
1288 | return; | |
1289 | } | |
1290 | if (exp_diff == -1) { | |
1291 | shift128Right(a0, a1, 1, &a0, &a1); | |
1292 | exp_diff = 0; | |
1293 | } | |
1294 | ||
1295 | b0 = b->frac_hi; | |
1296 | b1 = b->frac_lo; | |
1297 | ||
1298 | quot = q = le128(b0, b1, a0, a1); | |
1299 | if (q) { | |
1300 | sub128(a0, a1, b0, b1, &a0, &a1); | |
1301 | } | |
1302 | ||
1303 | exp_diff -= 64; | |
1304 | while (exp_diff > 0) { | |
1305 | q = estimateDiv128To64(a0, a1, b0); | |
1306 | q = q > 4 ? q - 4 : 0; | |
1307 | mul128By64To192(b0, b1, q, &t0, &t1, &t2); | |
1308 | sub192(a0, a1, a2, t0, t1, t2, &a0, &a1, &a2); | |
1309 | shortShift192Left(a0, a1, a2, 61, &a0, &a1, &a2); | |
1310 | exp_diff -= 61; | |
1311 | quot = (quot << 61) + q; | |
1312 | } | |
1313 | ||
1314 | exp_diff += 64; | |
1315 | if (exp_diff > 0) { | |
1316 | q = estimateDiv128To64(a0, a1, b0); | |
1317 | q = q > 4 ? (q - 4) >> (64 - exp_diff) : 0; | |
1318 | mul128By64To192(b0, b1, q << (64 - exp_diff), &t0, &t1, &t2); | |
1319 | sub192(a0, a1, a2, t0, t1, t2, &a0, &a1, &a2); | |
1320 | shortShift192Left(0, b0, b1, 64 - exp_diff, &t0, &t1, &t2); | |
1321 | while (le192(t0, t1, t2, a0, a1, a2)) { | |
1322 | ++q; | |
1323 | sub192(a0, a1, a2, t0, t1, t2, &a0, &a1, &a2); | |
1324 | } | |
1325 | quot = (exp_diff < 64 ? quot << exp_diff : 0) + q; | |
1326 | } else { | |
1327 | t0 = b0; | |
1328 | t1 = b1; | |
1329 | t2 = 0; | |
1330 | } | |
1331 | ||
1332 | if (mod_quot) { | |
1333 | *mod_quot = quot; | |
1334 | } else { | |
1335 | sub192(t0, t1, t2, a0, a1, a2, &t0, &t1, &t2); | |
1336 | if (lt192(t0, t1, t2, a0, a1, a2) || | |
1337 | (eq192(t0, t1, t2, a0, a1, a2) && (q & 1))) { | |
1338 | a0 = t0; | |
1339 | a1 = t1; | |
1340 | a2 = t2; | |
1341 | a->sign = !a->sign; | |
1342 | } | |
1343 | } | |
1344 | ||
1345 | if (likely(a0)) { | |
1346 | shift = clz64(a0); | |
1347 | shortShift192Left(a0, a1, a2, shift, &a0, &a1, &a2); | |
1348 | } else if (likely(a1)) { | |
1349 | shift = clz64(a1); | |
1350 | shortShift128Left(a1, a2, shift, &a0, &a1); | |
1351 | a2 = 0; | |
1352 | shift += 64; | |
1353 | } else if (likely(a2)) { | |
1354 | shift = clz64(a2); | |
1355 | a0 = a2 << shift; | |
1356 | a1 = a2 = 0; | |
1357 | shift += 128; | |
1358 | } else { | |
1359 | a->cls = float_class_zero; | |
1360 | return; | |
1361 | } | |
1362 | ||
1363 | a->exp = b->exp + exp_diff - shift; | |
1364 | a->frac_hi = a0; | |
1365 | a->frac_lo = a1 | (a2 != 0); | |
1366 | } | |
1367 | ||
1368 | #define frac_modrem(A, B, Q) FRAC_GENERIC_64_128(modrem, A)(A, B, Q) | |
1369 | ||
d46975bc RH |
1370 | static void frac64_shl(FloatParts64 *a, int c) |
1371 | { | |
1372 | a->frac <<= c; | |
1373 | } | |
1374 | ||
1375 | static void frac128_shl(FloatParts128 *a, int c) | |
1376 | { | |
463e45dc RH |
1377 | uint64_t a0 = a->frac_hi, a1 = a->frac_lo; |
1378 | ||
1379 | if (c & 64) { | |
1380 | a0 = a1, a1 = 0; | |
1381 | } | |
1382 | ||
1383 | c &= 63; | |
1384 | if (c) { | |
1385 | a0 = shl_double(a0, a1, c); | |
1386 | a1 = a1 << c; | |
1387 | } | |
1388 | ||
1389 | a->frac_hi = a0; | |
1390 | a->frac_lo = a1; | |
d46975bc RH |
1391 | } |
1392 | ||
1393 | #define frac_shl(A, C) FRAC_GENERIC_64_128(shl, A)(A, C) | |
1394 | ||
1395 | static void frac64_shr(FloatParts64 *a, int c) | |
1396 | { | |
1397 | a->frac >>= c; | |
1398 | } | |
1399 | ||
1400 | static void frac128_shr(FloatParts128 *a, int c) | |
1401 | { | |
463e45dc RH |
1402 | uint64_t a0 = a->frac_hi, a1 = a->frac_lo; |
1403 | ||
1404 | if (c & 64) { | |
1405 | a1 = a0, a0 = 0; | |
1406 | } | |
1407 | ||
1408 | c &= 63; | |
1409 | if (c) { | |
1410 | a1 = shr_double(a0, a1, c); | |
1411 | a0 = a0 >> c; | |
1412 | } | |
1413 | ||
1414 | a->frac_hi = a0; | |
1415 | a->frac_lo = a1; | |
d46975bc RH |
1416 | } |
1417 | ||
1418 | #define frac_shr(A, C) FRAC_GENERIC_64_128(shr, A)(A, C) | |
1419 | ||
ee6959f2 | 1420 | static void frac64_shrjam(FloatParts64 *a, int c) |
6fff2167 | 1421 | { |
463e45dc RH |
1422 | uint64_t a0 = a->frac; |
1423 | ||
1424 | if (likely(c != 0)) { | |
1425 | if (likely(c < 64)) { | |
1426 | a0 = (a0 >> c) | (shr_double(a0, 0, c) != 0); | |
1427 | } else { | |
1428 | a0 = a0 != 0; | |
1429 | } | |
1430 | a->frac = a0; | |
1431 | } | |
ee6959f2 | 1432 | } |
6fff2167 | 1433 | |
ee6959f2 RH |
1434 | static void frac128_shrjam(FloatParts128 *a, int c) |
1435 | { | |
463e45dc RH |
1436 | uint64_t a0 = a->frac_hi, a1 = a->frac_lo; |
1437 | uint64_t sticky = 0; | |
1438 | ||
1439 | if (unlikely(c == 0)) { | |
1440 | return; | |
1441 | } else if (likely(c < 64)) { | |
1442 | /* nothing */ | |
1443 | } else if (likely(c < 128)) { | |
1444 | sticky = a1; | |
1445 | a1 = a0; | |
1446 | a0 = 0; | |
1447 | c &= 63; | |
1448 | if (c == 0) { | |
1449 | goto done; | |
1450 | } | |
1451 | } else { | |
1452 | sticky = a0 | a1; | |
1453 | a0 = a1 = 0; | |
1454 | goto done; | |
1455 | } | |
1456 | ||
1457 | sticky |= shr_double(a1, 0, c); | |
1458 | a1 = shr_double(a0, a1, c); | |
1459 | a0 = a0 >> c; | |
1460 | ||
1461 | done: | |
1462 | a->frac_lo = a1 | (sticky != 0); | |
1463 | a->frac_hi = a0; | |
6fff2167 AB |
1464 | } |
1465 | ||
dedd123c RH |
1466 | static void frac256_shrjam(FloatParts256 *a, int c) |
1467 | { | |
1468 | uint64_t a0 = a->frac_hi, a1 = a->frac_hm; | |
1469 | uint64_t a2 = a->frac_lm, a3 = a->frac_lo; | |
1470 | uint64_t sticky = 0; | |
dedd123c RH |
1471 | |
1472 | if (unlikely(c == 0)) { | |
1473 | return; | |
1474 | } else if (likely(c < 64)) { | |
1475 | /* nothing */ | |
1476 | } else if (likely(c < 256)) { | |
1477 | if (unlikely(c & 128)) { | |
1478 | sticky |= a2 | a3; | |
1479 | a3 = a1, a2 = a0, a1 = 0, a0 = 0; | |
1480 | } | |
1481 | if (unlikely(c & 64)) { | |
1482 | sticky |= a3; | |
1483 | a3 = a2, a2 = a1, a1 = a0, a0 = 0; | |
1484 | } | |
1485 | c &= 63; | |
1486 | if (c == 0) { | |
1487 | goto done; | |
1488 | } | |
1489 | } else { | |
1490 | sticky = a0 | a1 | a2 | a3; | |
1491 | a0 = a1 = a2 = a3 = 0; | |
1492 | goto done; | |
1493 | } | |
1494 | ||
463e45dc RH |
1495 | sticky |= shr_double(a3, 0, c); |
1496 | a3 = shr_double(a2, a3, c); | |
1497 | a2 = shr_double(a1, a2, c); | |
1498 | a1 = shr_double(a0, a1, c); | |
1499 | a0 = a0 >> c; | |
dedd123c RH |
1500 | |
1501 | done: | |
1502 | a->frac_lo = a3 | (sticky != 0); | |
1503 | a->frac_lm = a2; | |
1504 | a->frac_hm = a1; | |
1505 | a->frac_hi = a0; | |
1506 | } | |
1507 | ||
1508 | #define frac_shrjam(A, C) FRAC_GENERIC_64_128_256(shrjam, A)(A, C) | |
d446830a | 1509 | |
da10a907 RH |
1510 | static bool frac64_sub(FloatParts64 *r, FloatParts64 *a, FloatParts64 *b) |
1511 | { | |
1512 | return usub64_overflow(a->frac, b->frac, &r->frac); | |
1513 | } | |
7c45bad8 | 1514 | |
da10a907 RH |
1515 | static bool frac128_sub(FloatParts128 *r, FloatParts128 *a, FloatParts128 *b) |
1516 | { | |
1517 | bool c = 0; | |
1518 | r->frac_lo = usub64_borrow(a->frac_lo, b->frac_lo, &c); | |
1519 | r->frac_hi = usub64_borrow(a->frac_hi, b->frac_hi, &c); | |
1520 | return c; | |
1521 | } | |
1522 | ||
dedd123c RH |
1523 | static bool frac256_sub(FloatParts256 *r, FloatParts256 *a, FloatParts256 *b) |
1524 | { | |
1525 | bool c = 0; | |
1526 | r->frac_lo = usub64_borrow(a->frac_lo, b->frac_lo, &c); | |
1527 | r->frac_lm = usub64_borrow(a->frac_lm, b->frac_lm, &c); | |
1528 | r->frac_hm = usub64_borrow(a->frac_hm, b->frac_hm, &c); | |
1529 | r->frac_hi = usub64_borrow(a->frac_hi, b->frac_hi, &c); | |
1530 | return c; | |
1531 | } | |
1532 | ||
1533 | #define frac_sub(R, A, B) FRAC_GENERIC_64_128_256(sub, R)(R, A, B) | |
da10a907 | 1534 | |
aca84527 RH |
1535 | static void frac64_truncjam(FloatParts64 *r, FloatParts128 *a) |
1536 | { | |
1537 | r->frac = a->frac_hi | (a->frac_lo != 0); | |
1538 | } | |
1539 | ||
1540 | static void frac128_truncjam(FloatParts128 *r, FloatParts256 *a) | |
1541 | { | |
1542 | r->frac_hi = a->frac_hi; | |
1543 | r->frac_lo = a->frac_hm | ((a->frac_lm | a->frac_lo) != 0); | |
1544 | } | |
1545 | ||
1546 | #define frac_truncjam(R, A) FRAC_GENERIC_64_128(truncjam, R)(R, A) | |
1547 | ||
dedd123c RH |
1548 | static void frac64_widen(FloatParts128 *r, FloatParts64 *a) |
1549 | { | |
1550 | r->frac_hi = a->frac; | |
1551 | r->frac_lo = 0; | |
1552 | } | |
1553 | ||
1554 | static void frac128_widen(FloatParts256 *r, FloatParts128 *a) | |
1555 | { | |
1556 | r->frac_hi = a->frac_hi; | |
1557 | r->frac_hm = a->frac_lo; | |
1558 | r->frac_lm = 0; | |
1559 | r->frac_lo = 0; | |
1560 | } | |
1561 | ||
1562 | #define frac_widen(A, B) FRAC_GENERIC_64_128(widen, B)(A, B) | |
1563 | ||
9261b245 RH |
1564 | /* |
1565 | * Reciprocal sqrt table. 1 bit of exponent, 6-bits of mantessa. | |
1566 | * From https://git.musl-libc.org/cgit/musl/tree/src/math/sqrt_data.c | |
1567 | * and thus MIT licenced. | |
1568 | */ | |
1569 | static const uint16_t rsqrt_tab[128] = { | |
1570 | 0xb451, 0xb2f0, 0xb196, 0xb044, 0xaef9, 0xadb6, 0xac79, 0xab43, | |
1571 | 0xaa14, 0xa8eb, 0xa7c8, 0xa6aa, 0xa592, 0xa480, 0xa373, 0xa26b, | |
1572 | 0xa168, 0xa06a, 0x9f70, 0x9e7b, 0x9d8a, 0x9c9d, 0x9bb5, 0x9ad1, | |
1573 | 0x99f0, 0x9913, 0x983a, 0x9765, 0x9693, 0x95c4, 0x94f8, 0x9430, | |
1574 | 0x936b, 0x92a9, 0x91ea, 0x912e, 0x9075, 0x8fbe, 0x8f0a, 0x8e59, | |
1575 | 0x8daa, 0x8cfe, 0x8c54, 0x8bac, 0x8b07, 0x8a64, 0x89c4, 0x8925, | |
1576 | 0x8889, 0x87ee, 0x8756, 0x86c0, 0x862b, 0x8599, 0x8508, 0x8479, | |
1577 | 0x83ec, 0x8361, 0x82d8, 0x8250, 0x81c9, 0x8145, 0x80c2, 0x8040, | |
1578 | 0xff02, 0xfd0e, 0xfb25, 0xf947, 0xf773, 0xf5aa, 0xf3ea, 0xf234, | |
1579 | 0xf087, 0xeee3, 0xed47, 0xebb3, 0xea27, 0xe8a3, 0xe727, 0xe5b2, | |
1580 | 0xe443, 0xe2dc, 0xe17a, 0xe020, 0xdecb, 0xdd7d, 0xdc34, 0xdaf1, | |
1581 | 0xd9b3, 0xd87b, 0xd748, 0xd61a, 0xd4f1, 0xd3cd, 0xd2ad, 0xd192, | |
1582 | 0xd07b, 0xcf69, 0xce5b, 0xcd51, 0xcc4a, 0xcb48, 0xca4a, 0xc94f, | |
1583 | 0xc858, 0xc764, 0xc674, 0xc587, 0xc49d, 0xc3b7, 0xc2d4, 0xc1f4, | |
1584 | 0xc116, 0xc03c, 0xbf65, 0xbe90, 0xbdbe, 0xbcef, 0xbc23, 0xbb59, | |
1585 | 0xba91, 0xb9cc, 0xb90a, 0xb84a, 0xb78c, 0xb6d0, 0xb617, 0xb560, | |
1586 | }; | |
1587 | ||
da10a907 RH |
1588 | #define partsN(NAME) glue(glue(glue(parts,N),_),NAME) |
1589 | #define FloatPartsN glue(FloatParts,N) | |
aca84527 | 1590 | #define FloatPartsW glue(FloatParts,W) |
da10a907 RH |
1591 | |
1592 | #define N 64 | |
aca84527 | 1593 | #define W 128 |
da10a907 RH |
1594 | |
1595 | #include "softfloat-parts-addsub.c.inc" | |
7c45bad8 RH |
1596 | #include "softfloat-parts.c.inc" |
1597 | ||
da10a907 | 1598 | #undef N |
aca84527 | 1599 | #undef W |
da10a907 | 1600 | #define N 128 |
aca84527 | 1601 | #define W 256 |
7c45bad8 | 1602 | |
da10a907 | 1603 | #include "softfloat-parts-addsub.c.inc" |
7c45bad8 RH |
1604 | #include "softfloat-parts.c.inc" |
1605 | ||
dedd123c RH |
1606 | #undef N |
1607 | #undef W | |
1608 | #define N 256 | |
1609 | ||
1610 | #include "softfloat-parts-addsub.c.inc" | |
1611 | ||
da10a907 | 1612 | #undef N |
aca84527 | 1613 | #undef W |
7c45bad8 RH |
1614 | #undef partsN |
1615 | #undef FloatPartsN | |
aca84527 | 1616 | #undef FloatPartsW |
7c45bad8 | 1617 | |
aaffb7bf RH |
1618 | /* |
1619 | * Pack/unpack routines with a specific FloatFmt. | |
1620 | */ | |
1621 | ||
98e256fc RH |
1622 | static void float16a_unpack_canonical(FloatParts64 *p, float16 f, |
1623 | float_status *s, const FloatFmt *params) | |
aaffb7bf | 1624 | { |
98e256fc | 1625 | float16_unpack_raw(p, f); |
d46975bc | 1626 | parts_canonicalize(p, s, params); |
aaffb7bf RH |
1627 | } |
1628 | ||
98e256fc RH |
1629 | static void float16_unpack_canonical(FloatParts64 *p, float16 f, |
1630 | float_status *s) | |
aaffb7bf | 1631 | { |
98e256fc | 1632 | float16a_unpack_canonical(p, f, s, &float16_params); |
aaffb7bf RH |
1633 | } |
1634 | ||
98e256fc RH |
1635 | static void bfloat16_unpack_canonical(FloatParts64 *p, bfloat16 f, |
1636 | float_status *s) | |
aaffb7bf | 1637 | { |
98e256fc | 1638 | bfloat16_unpack_raw(p, f); |
d46975bc | 1639 | parts_canonicalize(p, s, &bfloat16_params); |
aaffb7bf RH |
1640 | } |
1641 | ||
e293e927 RH |
1642 | static float16 float16a_round_pack_canonical(FloatParts64 *p, |
1643 | float_status *s, | |
aaffb7bf RH |
1644 | const FloatFmt *params) |
1645 | { | |
ee6959f2 | 1646 | parts_uncanon(p, s, params); |
e293e927 | 1647 | return float16_pack_raw(p); |
aaffb7bf RH |
1648 | } |
1649 | ||
e293e927 RH |
1650 | static float16 float16_round_pack_canonical(FloatParts64 *p, |
1651 | float_status *s) | |
aaffb7bf RH |
1652 | { |
1653 | return float16a_round_pack_canonical(p, s, &float16_params); | |
1654 | } | |
1655 | ||
e293e927 RH |
1656 | static bfloat16 bfloat16_round_pack_canonical(FloatParts64 *p, |
1657 | float_status *s) | |
aaffb7bf | 1658 | { |
ee6959f2 | 1659 | parts_uncanon(p, s, &bfloat16_params); |
e293e927 | 1660 | return bfloat16_pack_raw(p); |
aaffb7bf RH |
1661 | } |
1662 | ||
98e256fc RH |
1663 | static void float32_unpack_canonical(FloatParts64 *p, float32 f, |
1664 | float_status *s) | |
aaffb7bf | 1665 | { |
98e256fc | 1666 | float32_unpack_raw(p, f); |
d46975bc | 1667 | parts_canonicalize(p, s, &float32_params); |
aaffb7bf RH |
1668 | } |
1669 | ||
e293e927 RH |
1670 | static float32 float32_round_pack_canonical(FloatParts64 *p, |
1671 | float_status *s) | |
aaffb7bf | 1672 | { |
ee6959f2 | 1673 | parts_uncanon(p, s, &float32_params); |
e293e927 | 1674 | return float32_pack_raw(p); |
aaffb7bf RH |
1675 | } |
1676 | ||
98e256fc RH |
1677 | static void float64_unpack_canonical(FloatParts64 *p, float64 f, |
1678 | float_status *s) | |
aaffb7bf | 1679 | { |
98e256fc | 1680 | float64_unpack_raw(p, f); |
d46975bc | 1681 | parts_canonicalize(p, s, &float64_params); |
aaffb7bf RH |
1682 | } |
1683 | ||
e293e927 RH |
1684 | static float64 float64_round_pack_canonical(FloatParts64 *p, |
1685 | float_status *s) | |
aaffb7bf | 1686 | { |
ee6959f2 | 1687 | parts_uncanon(p, s, &float64_params); |
e293e927 | 1688 | return float64_pack_raw(p); |
aaffb7bf RH |
1689 | } |
1690 | ||
3ff49e56 RH |
1691 | static void float128_unpack_canonical(FloatParts128 *p, float128 f, |
1692 | float_status *s) | |
1693 | { | |
1694 | float128_unpack_raw(p, f); | |
1695 | parts_canonicalize(p, s, &float128_params); | |
1696 | } | |
1697 | ||
1698 | static float128 float128_round_pack_canonical(FloatParts128 *p, | |
1699 | float_status *s) | |
1700 | { | |
1701 | parts_uncanon(p, s, &float128_params); | |
1702 | return float128_pack_raw(p); | |
1703 | } | |
1704 | ||
c1b6299b RH |
1705 | /* Returns false if the encoding is invalid. */ |
1706 | static bool floatx80_unpack_canonical(FloatParts128 *p, floatx80 f, | |
1707 | float_status *s) | |
1708 | { | |
1709 | /* Ensure rounding precision is set before beginning. */ | |
1710 | switch (s->floatx80_rounding_precision) { | |
1711 | case floatx80_precision_x: | |
1712 | case floatx80_precision_d: | |
1713 | case floatx80_precision_s: | |
1714 | break; | |
1715 | default: | |
1716 | g_assert_not_reached(); | |
1717 | } | |
1718 | ||
1719 | if (unlikely(floatx80_invalid_encoding(f))) { | |
1720 | float_raise(float_flag_invalid, s); | |
1721 | return false; | |
1722 | } | |
1723 | ||
1724 | floatx80_unpack_raw(p, f); | |
1725 | ||
1726 | if (likely(p->exp != floatx80_params[floatx80_precision_x].exp_max)) { | |
1727 | parts_canonicalize(p, s, &floatx80_params[floatx80_precision_x]); | |
1728 | } else { | |
1729 | /* The explicit integer bit is ignored, after invalid checks. */ | |
1730 | p->frac_hi &= MAKE_64BIT_MASK(0, 63); | |
1731 | p->cls = (p->frac_hi == 0 ? float_class_inf | |
1732 | : parts_is_snan_frac(p->frac_hi, s) | |
1733 | ? float_class_snan : float_class_qnan); | |
1734 | } | |
1735 | return true; | |
1736 | } | |
1737 | ||
1738 | static floatx80 floatx80_round_pack_canonical(FloatParts128 *p, | |
1739 | float_status *s) | |
1740 | { | |
1741 | const FloatFmt *fmt = &floatx80_params[s->floatx80_rounding_precision]; | |
1742 | uint64_t frac; | |
1743 | int exp; | |
1744 | ||
1745 | switch (p->cls) { | |
1746 | case float_class_normal: | |
1747 | if (s->floatx80_rounding_precision == floatx80_precision_x) { | |
1748 | parts_uncanon_normal(p, s, fmt); | |
1749 | frac = p->frac_hi; | |
1750 | exp = p->exp; | |
1751 | } else { | |
1752 | FloatParts64 p64; | |
1753 | ||
1754 | p64.sign = p->sign; | |
1755 | p64.exp = p->exp; | |
1756 | frac_truncjam(&p64, p); | |
1757 | parts_uncanon_normal(&p64, s, fmt); | |
1758 | frac = p64.frac; | |
1759 | exp = p64.exp; | |
1760 | } | |
1761 | if (exp != fmt->exp_max) { | |
1762 | break; | |
1763 | } | |
1764 | /* rounded to inf -- fall through to set frac correctly */ | |
1765 | ||
1766 | case float_class_inf: | |
1767 | /* x86 and m68k differ in the setting of the integer bit. */ | |
1768 | frac = floatx80_infinity_low; | |
1769 | exp = fmt->exp_max; | |
1770 | break; | |
1771 | ||
1772 | case float_class_zero: | |
1773 | frac = 0; | |
1774 | exp = 0; | |
1775 | break; | |
1776 | ||
1777 | case float_class_snan: | |
1778 | case float_class_qnan: | |
1779 | /* NaNs have the integer bit set. */ | |
1780 | frac = p->frac_hi | (1ull << 63); | |
1781 | exp = fmt->exp_max; | |
1782 | break; | |
1783 | ||
1784 | default: | |
1785 | g_assert_not_reached(); | |
1786 | } | |
1787 | ||
1788 | return packFloatx80(p->sign, exp, frac); | |
1789 | } | |
1790 | ||
6fff2167 | 1791 | /* |
da10a907 | 1792 | * Addition and subtraction |
6fff2167 AB |
1793 | */ |
1794 | ||
da10a907 RH |
1795 | static float16 QEMU_FLATTEN |
1796 | float16_addsub(float16 a, float16 b, float_status *status, bool subtract) | |
6fff2167 | 1797 | { |
da10a907 | 1798 | FloatParts64 pa, pb, *pr; |
98e256fc RH |
1799 | |
1800 | float16_unpack_canonical(&pa, a, status); | |
1801 | float16_unpack_canonical(&pb, b, status); | |
da10a907 | 1802 | pr = parts_addsub(&pa, &pb, status, subtract); |
6fff2167 | 1803 | |
da10a907 | 1804 | return float16_round_pack_canonical(pr, status); |
6fff2167 AB |
1805 | } |
1806 | ||
da10a907 | 1807 | float16 float16_add(float16 a, float16 b, float_status *status) |
1b615d48 | 1808 | { |
da10a907 RH |
1809 | return float16_addsub(a, b, status, false); |
1810 | } | |
1b615d48 | 1811 | |
da10a907 RH |
1812 | float16 float16_sub(float16 a, float16 b, float_status *status) |
1813 | { | |
1814 | return float16_addsub(a, b, status, true); | |
1b615d48 EC |
1815 | } |
1816 | ||
1817 | static float32 QEMU_SOFTFLOAT_ATTR | |
da10a907 | 1818 | soft_f32_addsub(float32 a, float32 b, float_status *status, bool subtract) |
6fff2167 | 1819 | { |
da10a907 | 1820 | FloatParts64 pa, pb, *pr; |
98e256fc RH |
1821 | |
1822 | float32_unpack_canonical(&pa, a, status); | |
1823 | float32_unpack_canonical(&pb, b, status); | |
da10a907 | 1824 | pr = parts_addsub(&pa, &pb, status, subtract); |
6fff2167 | 1825 | |
da10a907 | 1826 | return float32_round_pack_canonical(pr, status); |
6fff2167 AB |
1827 | } |
1828 | ||
da10a907 | 1829 | static float32 soft_f32_add(float32 a, float32 b, float_status *status) |
1b615d48 | 1830 | { |
da10a907 | 1831 | return soft_f32_addsub(a, b, status, false); |
1b615d48 EC |
1832 | } |
1833 | ||
da10a907 | 1834 | static float32 soft_f32_sub(float32 a, float32 b, float_status *status) |
1b615d48 | 1835 | { |
da10a907 | 1836 | return soft_f32_addsub(a, b, status, true); |
1b615d48 EC |
1837 | } |
1838 | ||
1839 | static float64 QEMU_SOFTFLOAT_ATTR | |
da10a907 | 1840 | soft_f64_addsub(float64 a, float64 b, float_status *status, bool subtract) |
6fff2167 | 1841 | { |
da10a907 | 1842 | FloatParts64 pa, pb, *pr; |
98e256fc RH |
1843 | |
1844 | float64_unpack_canonical(&pa, a, status); | |
1845 | float64_unpack_canonical(&pb, b, status); | |
da10a907 | 1846 | pr = parts_addsub(&pa, &pb, status, subtract); |
6fff2167 | 1847 | |
da10a907 | 1848 | return float64_round_pack_canonical(pr, status); |
6fff2167 AB |
1849 | } |
1850 | ||
da10a907 | 1851 | static float64 soft_f64_add(float64 a, float64 b, float_status *status) |
6fff2167 | 1852 | { |
da10a907 | 1853 | return soft_f64_addsub(a, b, status, false); |
1b615d48 | 1854 | } |
6fff2167 | 1855 | |
da10a907 | 1856 | static float64 soft_f64_sub(float64 a, float64 b, float_status *status) |
1b615d48 | 1857 | { |
da10a907 | 1858 | return soft_f64_addsub(a, b, status, true); |
6fff2167 AB |
1859 | } |
1860 | ||
1b615d48 | 1861 | static float hard_f32_add(float a, float b) |
6fff2167 | 1862 | { |
1b615d48 EC |
1863 | return a + b; |
1864 | } | |
6fff2167 | 1865 | |
1b615d48 EC |
1866 | static float hard_f32_sub(float a, float b) |
1867 | { | |
1868 | return a - b; | |
6fff2167 AB |
1869 | } |
1870 | ||
1b615d48 | 1871 | static double hard_f64_add(double a, double b) |
6fff2167 | 1872 | { |
1b615d48 EC |
1873 | return a + b; |
1874 | } | |
6fff2167 | 1875 | |
1b615d48 EC |
1876 | static double hard_f64_sub(double a, double b) |
1877 | { | |
1878 | return a - b; | |
1879 | } | |
1880 | ||
b240c9c4 | 1881 | static bool f32_addsubmul_post(union_float32 a, union_float32 b) |
1b615d48 EC |
1882 | { |
1883 | if (QEMU_HARDFLOAT_2F32_USE_FP) { | |
1884 | return !(fpclassify(a.h) == FP_ZERO && fpclassify(b.h) == FP_ZERO); | |
1885 | } | |
1886 | return !(float32_is_zero(a.s) && float32_is_zero(b.s)); | |
1887 | } | |
1888 | ||
b240c9c4 | 1889 | static bool f64_addsubmul_post(union_float64 a, union_float64 b) |
1b615d48 EC |
1890 | { |
1891 | if (QEMU_HARDFLOAT_2F64_USE_FP) { | |
1892 | return !(fpclassify(a.h) == FP_ZERO && fpclassify(b.h) == FP_ZERO); | |
1893 | } else { | |
1894 | return !(float64_is_zero(a.s) && float64_is_zero(b.s)); | |
1895 | } | |
1896 | } | |
1897 | ||
1898 | static float32 float32_addsub(float32 a, float32 b, float_status *s, | |
1899 | hard_f32_op2_fn hard, soft_f32_op2_fn soft) | |
1900 | { | |
1901 | return float32_gen2(a, b, s, hard, soft, | |
b240c9c4 | 1902 | f32_is_zon2, f32_addsubmul_post); |
1b615d48 EC |
1903 | } |
1904 | ||
1905 | static float64 float64_addsub(float64 a, float64 b, float_status *s, | |
1906 | hard_f64_op2_fn hard, soft_f64_op2_fn soft) | |
1907 | { | |
1908 | return float64_gen2(a, b, s, hard, soft, | |
b240c9c4 | 1909 | f64_is_zon2, f64_addsubmul_post); |
1b615d48 EC |
1910 | } |
1911 | ||
1912 | float32 QEMU_FLATTEN | |
1913 | float32_add(float32 a, float32 b, float_status *s) | |
1914 | { | |
1915 | return float32_addsub(a, b, s, hard_f32_add, soft_f32_add); | |
1916 | } | |
1917 | ||
1918 | float32 QEMU_FLATTEN | |
1919 | float32_sub(float32 a, float32 b, float_status *s) | |
1920 | { | |
1921 | return float32_addsub(a, b, s, hard_f32_sub, soft_f32_sub); | |
1922 | } | |
1923 | ||
1924 | float64 QEMU_FLATTEN | |
1925 | float64_add(float64 a, float64 b, float_status *s) | |
1926 | { | |
1927 | return float64_addsub(a, b, s, hard_f64_add, soft_f64_add); | |
1928 | } | |
1929 | ||
1930 | float64 QEMU_FLATTEN | |
1931 | float64_sub(float64 a, float64 b, float_status *s) | |
1932 | { | |
1933 | return float64_addsub(a, b, s, hard_f64_sub, soft_f64_sub); | |
6fff2167 AB |
1934 | } |
1935 | ||
da10a907 RH |
1936 | static bfloat16 QEMU_FLATTEN |
1937 | bfloat16_addsub(bfloat16 a, bfloat16 b, float_status *status, bool subtract) | |
8282310d | 1938 | { |
da10a907 | 1939 | FloatParts64 pa, pb, *pr; |
98e256fc RH |
1940 | |
1941 | bfloat16_unpack_canonical(&pa, a, status); | |
1942 | bfloat16_unpack_canonical(&pb, b, status); | |
da10a907 | 1943 | pr = parts_addsub(&pa, &pb, status, subtract); |
8282310d | 1944 | |
da10a907 | 1945 | return bfloat16_round_pack_canonical(pr, status); |
8282310d LZ |
1946 | } |
1947 | ||
da10a907 | 1948 | bfloat16 bfloat16_add(bfloat16 a, bfloat16 b, float_status *status) |
8282310d | 1949 | { |
da10a907 RH |
1950 | return bfloat16_addsub(a, b, status, false); |
1951 | } | |
8282310d | 1952 | |
da10a907 RH |
1953 | bfloat16 bfloat16_sub(bfloat16 a, bfloat16 b, float_status *status) |
1954 | { | |
1955 | return bfloat16_addsub(a, b, status, true); | |
8282310d LZ |
1956 | } |
1957 | ||
3ff49e56 RH |
1958 | static float128 QEMU_FLATTEN |
1959 | float128_addsub(float128 a, float128 b, float_status *status, bool subtract) | |
1960 | { | |
1961 | FloatParts128 pa, pb, *pr; | |
1962 | ||
1963 | float128_unpack_canonical(&pa, a, status); | |
1964 | float128_unpack_canonical(&pb, b, status); | |
1965 | pr = parts_addsub(&pa, &pb, status, subtract); | |
1966 | ||
1967 | return float128_round_pack_canonical(pr, status); | |
1968 | } | |
1969 | ||
1970 | float128 float128_add(float128 a, float128 b, float_status *status) | |
1971 | { | |
1972 | return float128_addsub(a, b, status, false); | |
1973 | } | |
1974 | ||
1975 | float128 float128_sub(float128 a, float128 b, float_status *status) | |
1976 | { | |
1977 | return float128_addsub(a, b, status, true); | |
1978 | } | |
1979 | ||
c1b6299b RH |
1980 | static floatx80 QEMU_FLATTEN |
1981 | floatx80_addsub(floatx80 a, floatx80 b, float_status *status, bool subtract) | |
1982 | { | |
1983 | FloatParts128 pa, pb, *pr; | |
1984 | ||
1985 | if (!floatx80_unpack_canonical(&pa, a, status) || | |
1986 | !floatx80_unpack_canonical(&pb, b, status)) { | |
1987 | return floatx80_default_nan(status); | |
1988 | } | |
1989 | ||
1990 | pr = parts_addsub(&pa, &pb, status, subtract); | |
1991 | return floatx80_round_pack_canonical(pr, status); | |
1992 | } | |
1993 | ||
1994 | floatx80 floatx80_add(floatx80 a, floatx80 b, float_status *status) | |
1995 | { | |
1996 | return floatx80_addsub(a, b, status, false); | |
1997 | } | |
1998 | ||
1999 | floatx80 floatx80_sub(floatx80 a, floatx80 b, float_status *status) | |
2000 | { | |
2001 | return floatx80_addsub(a, b, status, true); | |
2002 | } | |
2003 | ||
74d707e2 | 2004 | /* |
aca84527 | 2005 | * Multiplication |
74d707e2 AB |
2006 | */ |
2007 | ||
97ff87c0 | 2008 | float16 QEMU_FLATTEN float16_mul(float16 a, float16 b, float_status *status) |
74d707e2 | 2009 | { |
aca84527 | 2010 | FloatParts64 pa, pb, *pr; |
98e256fc RH |
2011 | |
2012 | float16_unpack_canonical(&pa, a, status); | |
2013 | float16_unpack_canonical(&pb, b, status); | |
aca84527 | 2014 | pr = parts_mul(&pa, &pb, status); |
74d707e2 | 2015 | |
aca84527 | 2016 | return float16_round_pack_canonical(pr, status); |
74d707e2 AB |
2017 | } |
2018 | ||
2dfabc86 EC |
2019 | static float32 QEMU_SOFTFLOAT_ATTR |
2020 | soft_f32_mul(float32 a, float32 b, float_status *status) | |
74d707e2 | 2021 | { |
aca84527 | 2022 | FloatParts64 pa, pb, *pr; |
98e256fc RH |
2023 | |
2024 | float32_unpack_canonical(&pa, a, status); | |
2025 | float32_unpack_canonical(&pb, b, status); | |
aca84527 | 2026 | pr = parts_mul(&pa, &pb, status); |
74d707e2 | 2027 | |
aca84527 | 2028 | return float32_round_pack_canonical(pr, status); |
74d707e2 AB |
2029 | } |
2030 | ||
2dfabc86 EC |
2031 | static float64 QEMU_SOFTFLOAT_ATTR |
2032 | soft_f64_mul(float64 a, float64 b, float_status *status) | |
74d707e2 | 2033 | { |
aca84527 | 2034 | FloatParts64 pa, pb, *pr; |
98e256fc RH |
2035 | |
2036 | float64_unpack_canonical(&pa, a, status); | |
2037 | float64_unpack_canonical(&pb, b, status); | |
aca84527 | 2038 | pr = parts_mul(&pa, &pb, status); |
74d707e2 | 2039 | |
aca84527 | 2040 | return float64_round_pack_canonical(pr, status); |
74d707e2 AB |
2041 | } |
2042 | ||
2dfabc86 EC |
2043 | static float hard_f32_mul(float a, float b) |
2044 | { | |
2045 | return a * b; | |
2046 | } | |
2047 | ||
2048 | static double hard_f64_mul(double a, double b) | |
2049 | { | |
2050 | return a * b; | |
2051 | } | |
2052 | ||
2dfabc86 EC |
2053 | float32 QEMU_FLATTEN |
2054 | float32_mul(float32 a, float32 b, float_status *s) | |
2055 | { | |
2056 | return float32_gen2(a, b, s, hard_f32_mul, soft_f32_mul, | |
b240c9c4 | 2057 | f32_is_zon2, f32_addsubmul_post); |
2dfabc86 EC |
2058 | } |
2059 | ||
2060 | float64 QEMU_FLATTEN | |
2061 | float64_mul(float64 a, float64 b, float_status *s) | |
2062 | { | |
2063 | return float64_gen2(a, b, s, hard_f64_mul, soft_f64_mul, | |
b240c9c4 | 2064 | f64_is_zon2, f64_addsubmul_post); |
2dfabc86 EC |
2065 | } |
2066 | ||
aca84527 RH |
2067 | bfloat16 QEMU_FLATTEN |
2068 | bfloat16_mul(bfloat16 a, bfloat16 b, float_status *status) | |
8282310d | 2069 | { |
aca84527 | 2070 | FloatParts64 pa, pb, *pr; |
98e256fc RH |
2071 | |
2072 | bfloat16_unpack_canonical(&pa, a, status); | |
2073 | bfloat16_unpack_canonical(&pb, b, status); | |
aca84527 | 2074 | pr = parts_mul(&pa, &pb, status); |
8282310d | 2075 | |
aca84527 RH |
2076 | return bfloat16_round_pack_canonical(pr, status); |
2077 | } | |
2078 | ||
2079 | float128 QEMU_FLATTEN | |
2080 | float128_mul(float128 a, float128 b, float_status *status) | |
2081 | { | |
2082 | FloatParts128 pa, pb, *pr; | |
2083 | ||
2084 | float128_unpack_canonical(&pa, a, status); | |
2085 | float128_unpack_canonical(&pb, b, status); | |
2086 | pr = parts_mul(&pa, &pb, status); | |
2087 | ||
2088 | return float128_round_pack_canonical(pr, status); | |
8282310d LZ |
2089 | } |
2090 | ||
153f664a RH |
2091 | floatx80 QEMU_FLATTEN |
2092 | floatx80_mul(floatx80 a, floatx80 b, float_status *status) | |
2093 | { | |
2094 | FloatParts128 pa, pb, *pr; | |
2095 | ||
2096 | if (!floatx80_unpack_canonical(&pa, a, status) || | |
2097 | !floatx80_unpack_canonical(&pb, b, status)) { | |
2098 | return floatx80_default_nan(status); | |
2099 | } | |
2100 | ||
2101 | pr = parts_mul(&pa, &pb, status); | |
2102 | return floatx80_round_pack_canonical(pr, status); | |
2103 | } | |
2104 | ||
d446830a | 2105 | /* |
dedd123c | 2106 | * Fused multiply-add |
d446830a AB |
2107 | */ |
2108 | ||
97ff87c0 | 2109 | float16 QEMU_FLATTEN float16_muladd(float16 a, float16 b, float16 c, |
dedd123c | 2110 | int flags, float_status *status) |
d446830a | 2111 | { |
dedd123c | 2112 | FloatParts64 pa, pb, pc, *pr; |
98e256fc RH |
2113 | |
2114 | float16_unpack_canonical(&pa, a, status); | |
2115 | float16_unpack_canonical(&pb, b, status); | |
2116 | float16_unpack_canonical(&pc, c, status); | |
dedd123c | 2117 | pr = parts_muladd(&pa, &pb, &pc, flags, status); |
d446830a | 2118 | |
dedd123c | 2119 | return float16_round_pack_canonical(pr, status); |
d446830a AB |
2120 | } |
2121 | ||
ccf770ba EC |
2122 | static float32 QEMU_SOFTFLOAT_ATTR |
2123 | soft_f32_muladd(float32 a, float32 b, float32 c, int flags, | |
2124 | float_status *status) | |
d446830a | 2125 | { |
dedd123c | 2126 | FloatParts64 pa, pb, pc, *pr; |
98e256fc RH |
2127 | |
2128 | float32_unpack_canonical(&pa, a, status); | |
2129 | float32_unpack_canonical(&pb, b, status); | |
2130 | float32_unpack_canonical(&pc, c, status); | |
dedd123c | 2131 | pr = parts_muladd(&pa, &pb, &pc, flags, status); |
d446830a | 2132 | |
dedd123c | 2133 | return float32_round_pack_canonical(pr, status); |
d446830a AB |
2134 | } |
2135 | ||
ccf770ba EC |
2136 | static float64 QEMU_SOFTFLOAT_ATTR |
2137 | soft_f64_muladd(float64 a, float64 b, float64 c, int flags, | |
2138 | float_status *status) | |
d446830a | 2139 | { |
dedd123c | 2140 | FloatParts64 pa, pb, pc, *pr; |
98e256fc RH |
2141 | |
2142 | float64_unpack_canonical(&pa, a, status); | |
2143 | float64_unpack_canonical(&pb, b, status); | |
2144 | float64_unpack_canonical(&pc, c, status); | |
dedd123c | 2145 | pr = parts_muladd(&pa, &pb, &pc, flags, status); |
d446830a | 2146 | |
dedd123c | 2147 | return float64_round_pack_canonical(pr, status); |
d446830a AB |
2148 | } |
2149 | ||
f6b3b108 EC |
2150 | static bool force_soft_fma; |
2151 | ||
ccf770ba EC |
2152 | float32 QEMU_FLATTEN |
2153 | float32_muladd(float32 xa, float32 xb, float32 xc, int flags, float_status *s) | |
2154 | { | |
2155 | union_float32 ua, ub, uc, ur; | |
2156 | ||
2157 | ua.s = xa; | |
2158 | ub.s = xb; | |
2159 | uc.s = xc; | |
2160 | ||
2161 | if (unlikely(!can_use_fpu(s))) { | |
2162 | goto soft; | |
2163 | } | |
2164 | if (unlikely(flags & float_muladd_halve_result)) { | |
2165 | goto soft; | |
2166 | } | |
2167 | ||
2168 | float32_input_flush3(&ua.s, &ub.s, &uc.s, s); | |
2169 | if (unlikely(!f32_is_zon3(ua, ub, uc))) { | |
2170 | goto soft; | |
2171 | } | |
f6b3b108 EC |
2172 | |
2173 | if (unlikely(force_soft_fma)) { | |
2174 | goto soft; | |
2175 | } | |
2176 | ||
ccf770ba EC |
2177 | /* |
2178 | * When (a || b) == 0, there's no need to check for under/over flow, | |
2179 | * since we know the addend is (normal || 0) and the product is 0. | |
2180 | */ | |
2181 | if (float32_is_zero(ua.s) || float32_is_zero(ub.s)) { | |
2182 | union_float32 up; | |
2183 | bool prod_sign; | |
2184 | ||
2185 | prod_sign = float32_is_neg(ua.s) ^ float32_is_neg(ub.s); | |
2186 | prod_sign ^= !!(flags & float_muladd_negate_product); | |
2187 | up.s = float32_set_sign(float32_zero, prod_sign); | |
2188 | ||
2189 | if (flags & float_muladd_negate_c) { | |
2190 | uc.h = -uc.h; | |
2191 | } | |
2192 | ur.h = up.h + uc.h; | |
2193 | } else { | |
896f51fb KC |
2194 | union_float32 ua_orig = ua; |
2195 | union_float32 uc_orig = uc; | |
2196 | ||
ccf770ba EC |
2197 | if (flags & float_muladd_negate_product) { |
2198 | ua.h = -ua.h; | |
2199 | } | |
2200 | if (flags & float_muladd_negate_c) { | |
2201 | uc.h = -uc.h; | |
2202 | } | |
2203 | ||
2204 | ur.h = fmaf(ua.h, ub.h, uc.h); | |
2205 | ||
2206 | if (unlikely(f32_is_inf(ur))) { | |
d82f3b2d | 2207 | float_raise(float_flag_overflow, s); |
ccf770ba | 2208 | } else if (unlikely(fabsf(ur.h) <= FLT_MIN)) { |
896f51fb KC |
2209 | ua = ua_orig; |
2210 | uc = uc_orig; | |
ccf770ba EC |
2211 | goto soft; |
2212 | } | |
2213 | } | |
2214 | if (flags & float_muladd_negate_result) { | |
2215 | return float32_chs(ur.s); | |
2216 | } | |
2217 | return ur.s; | |
2218 | ||
2219 | soft: | |
2220 | return soft_f32_muladd(ua.s, ub.s, uc.s, flags, s); | |
2221 | } | |
2222 | ||
2223 | float64 QEMU_FLATTEN | |
2224 | float64_muladd(float64 xa, float64 xb, float64 xc, int flags, float_status *s) | |
2225 | { | |
2226 | union_float64 ua, ub, uc, ur; | |
2227 | ||
2228 | ua.s = xa; | |
2229 | ub.s = xb; | |
2230 | uc.s = xc; | |
2231 | ||
2232 | if (unlikely(!can_use_fpu(s))) { | |
2233 | goto soft; | |
2234 | } | |
2235 | if (unlikely(flags & float_muladd_halve_result)) { | |
2236 | goto soft; | |
2237 | } | |
2238 | ||
2239 | float64_input_flush3(&ua.s, &ub.s, &uc.s, s); | |
2240 | if (unlikely(!f64_is_zon3(ua, ub, uc))) { | |
2241 | goto soft; | |
2242 | } | |
f6b3b108 EC |
2243 | |
2244 | if (unlikely(force_soft_fma)) { | |
2245 | goto soft; | |
2246 | } | |
2247 | ||
ccf770ba EC |
2248 | /* |
2249 | * When (a || b) == 0, there's no need to check for under/over flow, | |
2250 | * since we know the addend is (normal || 0) and the product is 0. | |
2251 | */ | |
2252 | if (float64_is_zero(ua.s) || float64_is_zero(ub.s)) { | |
2253 | union_float64 up; | |
2254 | bool prod_sign; | |
2255 | ||
2256 | prod_sign = float64_is_neg(ua.s) ^ float64_is_neg(ub.s); | |
2257 | prod_sign ^= !!(flags & float_muladd_negate_product); | |
2258 | up.s = float64_set_sign(float64_zero, prod_sign); | |
2259 | ||
2260 | if (flags & float_muladd_negate_c) { | |
2261 | uc.h = -uc.h; | |
2262 | } | |
2263 | ur.h = up.h + uc.h; | |
2264 | } else { | |
896f51fb KC |
2265 | union_float64 ua_orig = ua; |
2266 | union_float64 uc_orig = uc; | |
2267 | ||
ccf770ba EC |
2268 | if (flags & float_muladd_negate_product) { |
2269 | ua.h = -ua.h; | |
2270 | } | |
2271 | if (flags & float_muladd_negate_c) { | |
2272 | uc.h = -uc.h; | |
2273 | } | |
2274 | ||
2275 | ur.h = fma(ua.h, ub.h, uc.h); | |
2276 | ||
2277 | if (unlikely(f64_is_inf(ur))) { | |
d82f3b2d | 2278 | float_raise(float_flag_overflow, s); |
ccf770ba | 2279 | } else if (unlikely(fabs(ur.h) <= FLT_MIN)) { |
896f51fb KC |
2280 | ua = ua_orig; |
2281 | uc = uc_orig; | |
ccf770ba EC |
2282 | goto soft; |
2283 | } | |
2284 | } | |
2285 | if (flags & float_muladd_negate_result) { | |
2286 | return float64_chs(ur.s); | |
2287 | } | |
2288 | return ur.s; | |
2289 | ||
2290 | soft: | |
2291 | return soft_f64_muladd(ua.s, ub.s, uc.s, flags, s); | |
2292 | } | |
2293 | ||
8282310d LZ |
2294 | bfloat16 QEMU_FLATTEN bfloat16_muladd(bfloat16 a, bfloat16 b, bfloat16 c, |
2295 | int flags, float_status *status) | |
2296 | { | |
dedd123c | 2297 | FloatParts64 pa, pb, pc, *pr; |
98e256fc RH |
2298 | |
2299 | bfloat16_unpack_canonical(&pa, a, status); | |
2300 | bfloat16_unpack_canonical(&pb, b, status); | |
2301 | bfloat16_unpack_canonical(&pc, c, status); | |
dedd123c RH |
2302 | pr = parts_muladd(&pa, &pb, &pc, flags, status); |
2303 | ||
2304 | return bfloat16_round_pack_canonical(pr, status); | |
2305 | } | |
8282310d | 2306 | |
dedd123c RH |
2307 | float128 QEMU_FLATTEN float128_muladd(float128 a, float128 b, float128 c, |
2308 | int flags, float_status *status) | |
2309 | { | |
2310 | FloatParts128 pa, pb, pc, *pr; | |
2311 | ||
2312 | float128_unpack_canonical(&pa, a, status); | |
2313 | float128_unpack_canonical(&pb, b, status); | |
2314 | float128_unpack_canonical(&pc, c, status); | |
2315 | pr = parts_muladd(&pa, &pb, &pc, flags, status); | |
2316 | ||
2317 | return float128_round_pack_canonical(pr, status); | |
8282310d LZ |
2318 | } |
2319 | ||
cf07323d | 2320 | /* |
ec961b81 | 2321 | * Division |
cf07323d AB |
2322 | */ |
2323 | ||
cf07323d AB |
2324 | float16 float16_div(float16 a, float16 b, float_status *status) |
2325 | { | |
ec961b81 | 2326 | FloatParts64 pa, pb, *pr; |
98e256fc RH |
2327 | |
2328 | float16_unpack_canonical(&pa, a, status); | |
2329 | float16_unpack_canonical(&pb, b, status); | |
ec961b81 | 2330 | pr = parts_div(&pa, &pb, status); |
cf07323d | 2331 | |
ec961b81 | 2332 | return float16_round_pack_canonical(pr, status); |
cf07323d AB |
2333 | } |
2334 | ||
4a629561 EC |
2335 | static float32 QEMU_SOFTFLOAT_ATTR |
2336 | soft_f32_div(float32 a, float32 b, float_status *status) | |
cf07323d | 2337 | { |
ec961b81 | 2338 | FloatParts64 pa, pb, *pr; |
98e256fc RH |
2339 | |
2340 | float32_unpack_canonical(&pa, a, status); | |
2341 | float32_unpack_canonical(&pb, b, status); | |
ec961b81 | 2342 | pr = parts_div(&pa, &pb, status); |
cf07323d | 2343 | |
ec961b81 | 2344 | return float32_round_pack_canonical(pr, status); |
cf07323d AB |
2345 | } |
2346 | ||
4a629561 EC |
2347 | static float64 QEMU_SOFTFLOAT_ATTR |
2348 | soft_f64_div(float64 a, float64 b, float_status *status) | |
cf07323d | 2349 | { |
ec961b81 | 2350 | FloatParts64 pa, pb, *pr; |
98e256fc RH |
2351 | |
2352 | float64_unpack_canonical(&pa, a, status); | |
2353 | float64_unpack_canonical(&pb, b, status); | |
ec961b81 | 2354 | pr = parts_div(&pa, &pb, status); |
cf07323d | 2355 | |
ec961b81 | 2356 | return float64_round_pack_canonical(pr, status); |
cf07323d AB |
2357 | } |
2358 | ||
4a629561 EC |
2359 | static float hard_f32_div(float a, float b) |
2360 | { | |
2361 | return a / b; | |
2362 | } | |
2363 | ||
2364 | static double hard_f64_div(double a, double b) | |
2365 | { | |
2366 | return a / b; | |
2367 | } | |
2368 | ||
2369 | static bool f32_div_pre(union_float32 a, union_float32 b) | |
2370 | { | |
2371 | if (QEMU_HARDFLOAT_2F32_USE_FP) { | |
2372 | return (fpclassify(a.h) == FP_NORMAL || fpclassify(a.h) == FP_ZERO) && | |
2373 | fpclassify(b.h) == FP_NORMAL; | |
2374 | } | |
2375 | return float32_is_zero_or_normal(a.s) && float32_is_normal(b.s); | |
2376 | } | |
2377 | ||
2378 | static bool f64_div_pre(union_float64 a, union_float64 b) | |
2379 | { | |
2380 | if (QEMU_HARDFLOAT_2F64_USE_FP) { | |
2381 | return (fpclassify(a.h) == FP_NORMAL || fpclassify(a.h) == FP_ZERO) && | |
2382 | fpclassify(b.h) == FP_NORMAL; | |
2383 | } | |
2384 | return float64_is_zero_or_normal(a.s) && float64_is_normal(b.s); | |
2385 | } | |
2386 | ||
2387 | static bool f32_div_post(union_float32 a, union_float32 b) | |
2388 | { | |
2389 | if (QEMU_HARDFLOAT_2F32_USE_FP) { | |
2390 | return fpclassify(a.h) != FP_ZERO; | |
2391 | } | |
2392 | return !float32_is_zero(a.s); | |
2393 | } | |
2394 | ||
2395 | static bool f64_div_post(union_float64 a, union_float64 b) | |
2396 | { | |
2397 | if (QEMU_HARDFLOAT_2F64_USE_FP) { | |
2398 | return fpclassify(a.h) != FP_ZERO; | |
2399 | } | |
2400 | return !float64_is_zero(a.s); | |
2401 | } | |
2402 | ||
2403 | float32 QEMU_FLATTEN | |
2404 | float32_div(float32 a, float32 b, float_status *s) | |
2405 | { | |
2406 | return float32_gen2(a, b, s, hard_f32_div, soft_f32_div, | |
b240c9c4 | 2407 | f32_div_pre, f32_div_post); |
4a629561 EC |
2408 | } |
2409 | ||
2410 | float64 QEMU_FLATTEN | |
2411 | float64_div(float64 a, float64 b, float_status *s) | |
2412 | { | |
2413 | return float64_gen2(a, b, s, hard_f64_div, soft_f64_div, | |
b240c9c4 | 2414 | f64_div_pre, f64_div_post); |
4a629561 EC |
2415 | } |
2416 | ||
ec961b81 RH |
2417 | bfloat16 QEMU_FLATTEN |
2418 | bfloat16_div(bfloat16 a, bfloat16 b, float_status *status) | |
8282310d | 2419 | { |
ec961b81 | 2420 | FloatParts64 pa, pb, *pr; |
98e256fc RH |
2421 | |
2422 | bfloat16_unpack_canonical(&pa, a, status); | |
2423 | bfloat16_unpack_canonical(&pb, b, status); | |
ec961b81 | 2424 | pr = parts_div(&pa, &pb, status); |
8282310d | 2425 | |
ec961b81 RH |
2426 | return bfloat16_round_pack_canonical(pr, status); |
2427 | } | |
2428 | ||
2429 | float128 QEMU_FLATTEN | |
2430 | float128_div(float128 a, float128 b, float_status *status) | |
2431 | { | |
2432 | FloatParts128 pa, pb, *pr; | |
2433 | ||
2434 | float128_unpack_canonical(&pa, a, status); | |
2435 | float128_unpack_canonical(&pb, b, status); | |
2436 | pr = parts_div(&pa, &pb, status); | |
2437 | ||
2438 | return float128_round_pack_canonical(pr, status); | |
8282310d LZ |
2439 | } |
2440 | ||
38db99e2 RH |
2441 | floatx80 floatx80_div(floatx80 a, floatx80 b, float_status *status) |
2442 | { | |
2443 | FloatParts128 pa, pb, *pr; | |
2444 | ||
2445 | if (!floatx80_unpack_canonical(&pa, a, status) || | |
2446 | !floatx80_unpack_canonical(&pb, b, status)) { | |
2447 | return floatx80_default_nan(status); | |
2448 | } | |
2449 | ||
2450 | pr = parts_div(&pa, &pb, status); | |
2451 | return floatx80_round_pack_canonical(pr, status); | |
2452 | } | |
2453 | ||
feaf2e9c RH |
2454 | /* |
2455 | * Remainder | |
2456 | */ | |
2457 | ||
2458 | float32 float32_rem(float32 a, float32 b, float_status *status) | |
2459 | { | |
2460 | FloatParts64 pa, pb, *pr; | |
2461 | ||
2462 | float32_unpack_canonical(&pa, a, status); | |
2463 | float32_unpack_canonical(&pb, b, status); | |
2464 | pr = parts_modrem(&pa, &pb, NULL, status); | |
2465 | ||
2466 | return float32_round_pack_canonical(pr, status); | |
2467 | } | |
2468 | ||
2469 | float64 float64_rem(float64 a, float64 b, float_status *status) | |
2470 | { | |
2471 | FloatParts64 pa, pb, *pr; | |
2472 | ||
2473 | float64_unpack_canonical(&pa, a, status); | |
2474 | float64_unpack_canonical(&pb, b, status); | |
2475 | pr = parts_modrem(&pa, &pb, NULL, status); | |
2476 | ||
2477 | return float64_round_pack_canonical(pr, status); | |
2478 | } | |
2479 | ||
2480 | float128 float128_rem(float128 a, float128 b, float_status *status) | |
2481 | { | |
2482 | FloatParts128 pa, pb, *pr; | |
2483 | ||
2484 | float128_unpack_canonical(&pa, a, status); | |
2485 | float128_unpack_canonical(&pb, b, status); | |
2486 | pr = parts_modrem(&pa, &pb, NULL, status); | |
2487 | ||
2488 | return float128_round_pack_canonical(pr, status); | |
2489 | } | |
2490 | ||
2491 | /* | |
2492 | * Returns the remainder of the extended double-precision floating-point value | |
2493 | * `a' with respect to the corresponding value `b'. | |
2494 | * If 'mod' is false, the operation is performed according to the IEC/IEEE | |
2495 | * Standard for Binary Floating-Point Arithmetic. If 'mod' is true, return | |
2496 | * the remainder based on truncating the quotient toward zero instead and | |
2497 | * *quotient is set to the low 64 bits of the absolute value of the integer | |
2498 | * quotient. | |
2499 | */ | |
2500 | floatx80 floatx80_modrem(floatx80 a, floatx80 b, bool mod, | |
2501 | uint64_t *quotient, float_status *status) | |
2502 | { | |
2503 | FloatParts128 pa, pb, *pr; | |
2504 | ||
2505 | *quotient = 0; | |
2506 | if (!floatx80_unpack_canonical(&pa, a, status) || | |
2507 | !floatx80_unpack_canonical(&pb, b, status)) { | |
2508 | return floatx80_default_nan(status); | |
2509 | } | |
2510 | pr = parts_modrem(&pa, &pb, mod ? quotient : NULL, status); | |
2511 | ||
2512 | return floatx80_round_pack_canonical(pr, status); | |
2513 | } | |
2514 | ||
2515 | floatx80 floatx80_rem(floatx80 a, floatx80 b, float_status *status) | |
2516 | { | |
2517 | uint64_t quotient; | |
2518 | return floatx80_modrem(a, b, false, "ient, status); | |
2519 | } | |
2520 | ||
2521 | floatx80 floatx80_mod(floatx80 a, floatx80 b, float_status *status) | |
2522 | { | |
2523 | uint64_t quotient; | |
2524 | return floatx80_modrem(a, b, true, "ient, status); | |
2525 | } | |
2526 | ||
6fed16b2 AB |
2527 | /* |
2528 | * Float to Float conversions | |
2529 | * | |
2530 | * Returns the result of converting one float format to another. The | |
2531 | * conversion is performed according to the IEC/IEEE Standard for | |
2532 | * Binary Floating-Point Arithmetic. | |
2533 | * | |
c3f1875e RH |
2534 | * Usually this only needs to take care of raising invalid exceptions |
2535 | * and handling the conversion on NaNs. | |
6fed16b2 AB |
2536 | */ |
2537 | ||
c3f1875e RH |
2538 | static void parts_float_to_ahp(FloatParts64 *a, float_status *s) |
2539 | { | |
2540 | switch (a->cls) { | |
2541 | case float_class_qnan: | |
2542 | case float_class_snan: | |
2543 | /* | |
2544 | * There is no NaN in the destination format. Raise Invalid | |
2545 | * and return a zero with the sign of the input NaN. | |
2546 | */ | |
2547 | float_raise(float_flag_invalid, s); | |
2548 | a->cls = float_class_zero; | |
2549 | break; | |
2550 | ||
2551 | case float_class_inf: | |
2552 | /* | |
2553 | * There is no Inf in the destination format. Raise Invalid | |
2554 | * and return the maximum normal with the correct sign. | |
2555 | */ | |
2556 | float_raise(float_flag_invalid, s); | |
2557 | a->cls = float_class_normal; | |
2558 | a->exp = float16_params_ahp.exp_max; | |
2559 | a->frac = MAKE_64BIT_MASK(float16_params_ahp.frac_shift, | |
2560 | float16_params_ahp.frac_size + 1); | |
2561 | break; | |
2562 | ||
2563 | case float_class_normal: | |
2564 | case float_class_zero: | |
2565 | break; | |
2566 | ||
2567 | default: | |
2568 | g_assert_not_reached(); | |
2569 | } | |
2570 | } | |
2571 | ||
2572 | static void parts64_float_to_float(FloatParts64 *a, float_status *s) | |
2573 | { | |
2574 | if (is_nan(a->cls)) { | |
2575 | parts_return_nan(a, s); | |
6fed16b2 | 2576 | } |
6fed16b2 AB |
2577 | } |
2578 | ||
c3f1875e RH |
2579 | static void parts128_float_to_float(FloatParts128 *a, float_status *s) |
2580 | { | |
2581 | if (is_nan(a->cls)) { | |
2582 | parts_return_nan(a, s); | |
2583 | } | |
2584 | } | |
2585 | ||
2586 | #define parts_float_to_float(P, S) \ | |
2587 | PARTS_GENERIC_64_128(float_to_float, P)(P, S) | |
2588 | ||
9882ccaf RH |
2589 | static void parts_float_to_float_narrow(FloatParts64 *a, FloatParts128 *b, |
2590 | float_status *s) | |
2591 | { | |
2592 | a->cls = b->cls; | |
2593 | a->sign = b->sign; | |
2594 | a->exp = b->exp; | |
2595 | ||
2596 | if (a->cls == float_class_normal) { | |
2597 | frac_truncjam(a, b); | |
2598 | } else if (is_nan(a->cls)) { | |
2599 | /* Discard the low bits of the NaN. */ | |
2600 | a->frac = b->frac_hi; | |
2601 | parts_return_nan(a, s); | |
2602 | } | |
2603 | } | |
2604 | ||
2605 | static void parts_float_to_float_widen(FloatParts128 *a, FloatParts64 *b, | |
2606 | float_status *s) | |
2607 | { | |
2608 | a->cls = b->cls; | |
2609 | a->sign = b->sign; | |
2610 | a->exp = b->exp; | |
2611 | frac_widen(a, b); | |
2612 | ||
2613 | if (is_nan(a->cls)) { | |
2614 | parts_return_nan(a, s); | |
2615 | } | |
2616 | } | |
2617 | ||
6fed16b2 AB |
2618 | float32 float16_to_float32(float16 a, bool ieee, float_status *s) |
2619 | { | |
2620 | const FloatFmt *fmt16 = ieee ? &float16_params : &float16_params_ahp; | |
c3f1875e | 2621 | FloatParts64 p; |
98e256fc | 2622 | |
c3f1875e RH |
2623 | float16a_unpack_canonical(&p, a, s, fmt16); |
2624 | parts_float_to_float(&p, s); | |
2625 | return float32_round_pack_canonical(&p, s); | |
6fed16b2 AB |
2626 | } |
2627 | ||
2628 | float64 float16_to_float64(float16 a, bool ieee, float_status *s) | |
2629 | { | |
2630 | const FloatFmt *fmt16 = ieee ? &float16_params : &float16_params_ahp; | |
c3f1875e | 2631 | FloatParts64 p; |
98e256fc | 2632 | |
c3f1875e RH |
2633 | float16a_unpack_canonical(&p, a, s, fmt16); |
2634 | parts_float_to_float(&p, s); | |
2635 | return float64_round_pack_canonical(&p, s); | |
6fed16b2 AB |
2636 | } |
2637 | ||
2638 | float16 float32_to_float16(float32 a, bool ieee, float_status *s) | |
2639 | { | |
c3f1875e RH |
2640 | FloatParts64 p; |
2641 | const FloatFmt *fmt; | |
98e256fc | 2642 | |
c3f1875e RH |
2643 | float32_unpack_canonical(&p, a, s); |
2644 | if (ieee) { | |
2645 | parts_float_to_float(&p, s); | |
2646 | fmt = &float16_params; | |
2647 | } else { | |
2648 | parts_float_to_ahp(&p, s); | |
2649 | fmt = &float16_params_ahp; | |
2650 | } | |
2651 | return float16a_round_pack_canonical(&p, s, fmt); | |
6fed16b2 AB |
2652 | } |
2653 | ||
21381dcf MK |
2654 | static float64 QEMU_SOFTFLOAT_ATTR |
2655 | soft_float32_to_float64(float32 a, float_status *s) | |
6fed16b2 | 2656 | { |
c3f1875e | 2657 | FloatParts64 p; |
98e256fc | 2658 | |
c3f1875e RH |
2659 | float32_unpack_canonical(&p, a, s); |
2660 | parts_float_to_float(&p, s); | |
2661 | return float64_round_pack_canonical(&p, s); | |
6fed16b2 AB |
2662 | } |
2663 | ||
21381dcf MK |
2664 | float64 float32_to_float64(float32 a, float_status *s) |
2665 | { | |
2666 | if (likely(float32_is_normal(a))) { | |
2667 | /* Widening conversion can never produce inexact results. */ | |
2668 | union_float32 uf; | |
2669 | union_float64 ud; | |
2670 | uf.s = a; | |
2671 | ud.h = uf.h; | |
2672 | return ud.s; | |
2673 | } else if (float32_is_zero(a)) { | |
2674 | return float64_set_sign(float64_zero, float32_is_neg(a)); | |
2675 | } else { | |
2676 | return soft_float32_to_float64(a, s); | |
2677 | } | |
2678 | } | |
2679 | ||
6fed16b2 AB |
2680 | float16 float64_to_float16(float64 a, bool ieee, float_status *s) |
2681 | { | |
c3f1875e RH |
2682 | FloatParts64 p; |
2683 | const FloatFmt *fmt; | |
98e256fc | 2684 | |
c3f1875e RH |
2685 | float64_unpack_canonical(&p, a, s); |
2686 | if (ieee) { | |
2687 | parts_float_to_float(&p, s); | |
2688 | fmt = &float16_params; | |
2689 | } else { | |
2690 | parts_float_to_ahp(&p, s); | |
2691 | fmt = &float16_params_ahp; | |
2692 | } | |
2693 | return float16a_round_pack_canonical(&p, s, fmt); | |
6fed16b2 AB |
2694 | } |
2695 | ||
2696 | float32 float64_to_float32(float64 a, float_status *s) | |
2697 | { | |
c3f1875e | 2698 | FloatParts64 p; |
98e256fc | 2699 | |
c3f1875e RH |
2700 | float64_unpack_canonical(&p, a, s); |
2701 | parts_float_to_float(&p, s); | |
2702 | return float32_round_pack_canonical(&p, s); | |
6fed16b2 AB |
2703 | } |
2704 | ||
34f0c0a9 LZ |
2705 | float32 bfloat16_to_float32(bfloat16 a, float_status *s) |
2706 | { | |
c3f1875e | 2707 | FloatParts64 p; |
98e256fc | 2708 | |
c3f1875e RH |
2709 | bfloat16_unpack_canonical(&p, a, s); |
2710 | parts_float_to_float(&p, s); | |
2711 | return float32_round_pack_canonical(&p, s); | |
34f0c0a9 LZ |
2712 | } |
2713 | ||
2714 | float64 bfloat16_to_float64(bfloat16 a, float_status *s) | |
2715 | { | |
c3f1875e | 2716 | FloatParts64 p; |
98e256fc | 2717 | |
c3f1875e RH |
2718 | bfloat16_unpack_canonical(&p, a, s); |
2719 | parts_float_to_float(&p, s); | |
2720 | return float64_round_pack_canonical(&p, s); | |
34f0c0a9 LZ |
2721 | } |
2722 | ||
2723 | bfloat16 float32_to_bfloat16(float32 a, float_status *s) | |
2724 | { | |
c3f1875e | 2725 | FloatParts64 p; |
98e256fc | 2726 | |
c3f1875e RH |
2727 | float32_unpack_canonical(&p, a, s); |
2728 | parts_float_to_float(&p, s); | |
2729 | return bfloat16_round_pack_canonical(&p, s); | |
34f0c0a9 LZ |
2730 | } |
2731 | ||
2732 | bfloat16 float64_to_bfloat16(float64 a, float_status *s) | |
2733 | { | |
c3f1875e | 2734 | FloatParts64 p; |
98e256fc | 2735 | |
c3f1875e RH |
2736 | float64_unpack_canonical(&p, a, s); |
2737 | parts_float_to_float(&p, s); | |
2738 | return bfloat16_round_pack_canonical(&p, s); | |
34f0c0a9 LZ |
2739 | } |
2740 | ||
9882ccaf RH |
2741 | float32 float128_to_float32(float128 a, float_status *s) |
2742 | { | |
2743 | FloatParts64 p64; | |
2744 | FloatParts128 p128; | |
2745 | ||
2746 | float128_unpack_canonical(&p128, a, s); | |
2747 | parts_float_to_float_narrow(&p64, &p128, s); | |
2748 | return float32_round_pack_canonical(&p64, s); | |
2749 | } | |
2750 | ||
2751 | float64 float128_to_float64(float128 a, float_status *s) | |
2752 | { | |
2753 | FloatParts64 p64; | |
2754 | FloatParts128 p128; | |
2755 | ||
2756 | float128_unpack_canonical(&p128, a, s); | |
2757 | parts_float_to_float_narrow(&p64, &p128, s); | |
2758 | return float64_round_pack_canonical(&p64, s); | |
2759 | } | |
2760 | ||
2761 | float128 float32_to_float128(float32 a, float_status *s) | |
2762 | { | |
2763 | FloatParts64 p64; | |
2764 | FloatParts128 p128; | |
2765 | ||
2766 | float32_unpack_canonical(&p64, a, s); | |
2767 | parts_float_to_float_widen(&p128, &p64, s); | |
2768 | return float128_round_pack_canonical(&p128, s); | |
2769 | } | |
2770 | ||
2771 | float128 float64_to_float128(float64 a, float_status *s) | |
2772 | { | |
2773 | FloatParts64 p64; | |
2774 | FloatParts128 p128; | |
2775 | ||
2776 | float64_unpack_canonical(&p64, a, s); | |
2777 | parts_float_to_float_widen(&p128, &p64, s); | |
2778 | return float128_round_pack_canonical(&p128, s); | |
2779 | } | |
2780 | ||
8ae5719c RH |
2781 | float32 floatx80_to_float32(floatx80 a, float_status *s) |
2782 | { | |
2783 | FloatParts64 p64; | |
2784 | FloatParts128 p128; | |
2785 | ||
2786 | if (floatx80_unpack_canonical(&p128, a, s)) { | |
2787 | parts_float_to_float_narrow(&p64, &p128, s); | |
2788 | } else { | |
2789 | parts_default_nan(&p64, s); | |
2790 | } | |
2791 | return float32_round_pack_canonical(&p64, s); | |
2792 | } | |
2793 | ||
2794 | float64 floatx80_to_float64(floatx80 a, float_status *s) | |
2795 | { | |
2796 | FloatParts64 p64; | |
2797 | FloatParts128 p128; | |
2798 | ||
2799 | if (floatx80_unpack_canonical(&p128, a, s)) { | |
2800 | parts_float_to_float_narrow(&p64, &p128, s); | |
2801 | } else { | |
2802 | parts_default_nan(&p64, s); | |
2803 | } | |
2804 | return float64_round_pack_canonical(&p64, s); | |
2805 | } | |
2806 | ||
2807 | float128 floatx80_to_float128(floatx80 a, float_status *s) | |
2808 | { | |
2809 | FloatParts128 p; | |
2810 | ||
2811 | if (floatx80_unpack_canonical(&p, a, s)) { | |
2812 | parts_float_to_float(&p, s); | |
2813 | } else { | |
2814 | parts_default_nan(&p, s); | |
2815 | } | |
2816 | return float128_round_pack_canonical(&p, s); | |
2817 | } | |
2818 | ||
2819 | floatx80 float32_to_floatx80(float32 a, float_status *s) | |
2820 | { | |
2821 | FloatParts64 p64; | |
2822 | FloatParts128 p128; | |
2823 | ||
2824 | float32_unpack_canonical(&p64, a, s); | |
2825 | parts_float_to_float_widen(&p128, &p64, s); | |
2826 | return floatx80_round_pack_canonical(&p128, s); | |
2827 | } | |
2828 | ||
2829 | floatx80 float64_to_floatx80(float64 a, float_status *s) | |
2830 | { | |
2831 | FloatParts64 p64; | |
2832 | FloatParts128 p128; | |
2833 | ||
2834 | float64_unpack_canonical(&p64, a, s); | |
2835 | parts_float_to_float_widen(&p128, &p64, s); | |
2836 | return floatx80_round_pack_canonical(&p128, s); | |
2837 | } | |
2838 | ||
2839 | floatx80 float128_to_floatx80(float128 a, float_status *s) | |
2840 | { | |
2841 | FloatParts128 p; | |
2842 | ||
2843 | float128_unpack_canonical(&p, a, s); | |
2844 | parts_float_to_float(&p, s); | |
2845 | return floatx80_round_pack_canonical(&p, s); | |
2846 | } | |
2847 | ||
dbe4d53a | 2848 | /* |
afc34931 | 2849 | * Round to integral value |
dbe4d53a AB |
2850 | */ |
2851 | ||
dbe4d53a AB |
2852 | float16 float16_round_to_int(float16 a, float_status *s) |
2853 | { | |
afc34931 | 2854 | FloatParts64 p; |
98e256fc | 2855 | |
afc34931 RH |
2856 | float16_unpack_canonical(&p, a, s); |
2857 | parts_round_to_int(&p, s->float_rounding_mode, 0, s, &float16_params); | |
2858 | return float16_round_pack_canonical(&p, s); | |
dbe4d53a AB |
2859 | } |
2860 | ||
2861 | float32 float32_round_to_int(float32 a, float_status *s) | |
2862 | { | |
afc34931 | 2863 | FloatParts64 p; |
98e256fc | 2864 | |
afc34931 RH |
2865 | float32_unpack_canonical(&p, a, s); |
2866 | parts_round_to_int(&p, s->float_rounding_mode, 0, s, &float32_params); | |
2867 | return float32_round_pack_canonical(&p, s); | |
dbe4d53a AB |
2868 | } |
2869 | ||
2870 | float64 float64_round_to_int(float64 a, float_status *s) | |
2871 | { | |
afc34931 | 2872 | FloatParts64 p; |
98e256fc | 2873 | |
afc34931 RH |
2874 | float64_unpack_canonical(&p, a, s); |
2875 | parts_round_to_int(&p, s->float_rounding_mode, 0, s, &float64_params); | |
2876 | return float64_round_pack_canonical(&p, s); | |
dbe4d53a AB |
2877 | } |
2878 | ||
34f0c0a9 LZ |
2879 | bfloat16 bfloat16_round_to_int(bfloat16 a, float_status *s) |
2880 | { | |
afc34931 | 2881 | FloatParts64 p; |
98e256fc | 2882 | |
afc34931 RH |
2883 | bfloat16_unpack_canonical(&p, a, s); |
2884 | parts_round_to_int(&p, s->float_rounding_mode, 0, s, &bfloat16_params); | |
2885 | return bfloat16_round_pack_canonical(&p, s); | |
2886 | } | |
2887 | ||
2888 | float128 float128_round_to_int(float128 a, float_status *s) | |
2889 | { | |
2890 | FloatParts128 p; | |
2891 | ||
2892 | float128_unpack_canonical(&p, a, s); | |
2893 | parts_round_to_int(&p, s->float_rounding_mode, 0, s, &float128_params); | |
2894 | return float128_round_pack_canonical(&p, s); | |
34f0c0a9 LZ |
2895 | } |
2896 | ||
f9a95a78 RH |
2897 | floatx80 floatx80_round_to_int(floatx80 a, float_status *status) |
2898 | { | |
2899 | FloatParts128 p; | |
2900 | ||
2901 | if (!floatx80_unpack_canonical(&p, a, status)) { | |
2902 | return floatx80_default_nan(status); | |
2903 | } | |
2904 | ||
2905 | parts_round_to_int(&p, status->float_rounding_mode, 0, status, | |
2906 | &floatx80_params[status->floatx80_rounding_precision]); | |
2907 | return floatx80_round_pack_canonical(&p, status); | |
2908 | } | |
2909 | ||
ab52f973 | 2910 | /* |
463b3f0d RH |
2911 | * Floating-point to signed integer conversions |
2912 | */ | |
ab52f973 | 2913 | |
0d93d8ec FC |
2914 | int8_t float16_to_int8_scalbn(float16 a, FloatRoundMode rmode, int scale, |
2915 | float_status *s) | |
2916 | { | |
98e256fc RH |
2917 | FloatParts64 p; |
2918 | ||
2919 | float16_unpack_canonical(&p, a, s); | |
463b3f0d | 2920 | return parts_float_to_sint(&p, rmode, scale, INT8_MIN, INT8_MAX, s); |
0d93d8ec FC |
2921 | } |
2922 | ||
3dede407 | 2923 | int16_t float16_to_int16_scalbn(float16 a, FloatRoundMode rmode, int scale, |
2f6c74be RH |
2924 | float_status *s) |
2925 | { | |
98e256fc RH |
2926 | FloatParts64 p; |
2927 | ||
2928 | float16_unpack_canonical(&p, a, s); | |
463b3f0d | 2929 | return parts_float_to_sint(&p, rmode, scale, INT16_MIN, INT16_MAX, s); |
2f6c74be RH |
2930 | } |
2931 | ||
3dede407 | 2932 | int32_t float16_to_int32_scalbn(float16 a, FloatRoundMode rmode, int scale, |
2f6c74be RH |
2933 | float_status *s) |
2934 | { | |
98e256fc RH |
2935 | FloatParts64 p; |
2936 | ||
2937 | float16_unpack_canonical(&p, a, s); | |
463b3f0d | 2938 | return parts_float_to_sint(&p, rmode, scale, INT32_MIN, INT32_MAX, s); |
2f6c74be RH |
2939 | } |
2940 | ||
3dede407 | 2941 | int64_t float16_to_int64_scalbn(float16 a, FloatRoundMode rmode, int scale, |
2f6c74be RH |
2942 | float_status *s) |
2943 | { | |
98e256fc RH |
2944 | FloatParts64 p; |
2945 | ||
2946 | float16_unpack_canonical(&p, a, s); | |
463b3f0d | 2947 | return parts_float_to_sint(&p, rmode, scale, INT64_MIN, INT64_MAX, s); |
2f6c74be RH |
2948 | } |
2949 | ||
3dede407 | 2950 | int16_t float32_to_int16_scalbn(float32 a, FloatRoundMode rmode, int scale, |
2f6c74be RH |
2951 | float_status *s) |
2952 | { | |
98e256fc RH |
2953 | FloatParts64 p; |
2954 | ||
2955 | float32_unpack_canonical(&p, a, s); | |
463b3f0d | 2956 | return parts_float_to_sint(&p, rmode, scale, INT16_MIN, INT16_MAX, s); |
2f6c74be RH |
2957 | } |
2958 | ||
3dede407 | 2959 | int32_t float32_to_int32_scalbn(float32 a, FloatRoundMode rmode, int scale, |
2f6c74be RH |
2960 | float_status *s) |
2961 | { | |
98e256fc RH |
2962 | FloatParts64 p; |
2963 | ||
2964 | float32_unpack_canonical(&p, a, s); | |
463b3f0d | 2965 | return parts_float_to_sint(&p, rmode, scale, INT32_MIN, INT32_MAX, s); |
2f6c74be RH |
2966 | } |
2967 | ||
3dede407 | 2968 | int64_t float32_to_int64_scalbn(float32 a, FloatRoundMode rmode, int scale, |
2f6c74be RH |
2969 | float_status *s) |
2970 | { | |
98e256fc RH |
2971 | FloatParts64 p; |
2972 | ||
2973 | float32_unpack_canonical(&p, a, s); | |
463b3f0d | 2974 | return parts_float_to_sint(&p, rmode, scale, INT64_MIN, INT64_MAX, s); |
2f6c74be RH |
2975 | } |
2976 | ||
3dede407 | 2977 | int16_t float64_to_int16_scalbn(float64 a, FloatRoundMode rmode, int scale, |
2f6c74be RH |
2978 | float_status *s) |
2979 | { | |
98e256fc RH |
2980 | FloatParts64 p; |
2981 | ||
2982 | float64_unpack_canonical(&p, a, s); | |
463b3f0d | 2983 | return parts_float_to_sint(&p, rmode, scale, INT16_MIN, INT16_MAX, s); |
2f6c74be RH |
2984 | } |
2985 | ||
3dede407 | 2986 | int32_t float64_to_int32_scalbn(float64 a, FloatRoundMode rmode, int scale, |
2f6c74be RH |
2987 | float_status *s) |
2988 | { | |
98e256fc RH |
2989 | FloatParts64 p; |
2990 | ||
2991 | float64_unpack_canonical(&p, a, s); | |
463b3f0d | 2992 | return parts_float_to_sint(&p, rmode, scale, INT32_MIN, INT32_MAX, s); |
2f6c74be RH |
2993 | } |
2994 | ||
3dede407 | 2995 | int64_t float64_to_int64_scalbn(float64 a, FloatRoundMode rmode, int scale, |
2f6c74be RH |
2996 | float_status *s) |
2997 | { | |
98e256fc RH |
2998 | FloatParts64 p; |
2999 | ||
3000 | float64_unpack_canonical(&p, a, s); | |
463b3f0d RH |
3001 | return parts_float_to_sint(&p, rmode, scale, INT64_MIN, INT64_MAX, s); |
3002 | } | |
3003 | ||
3004 | int16_t bfloat16_to_int16_scalbn(bfloat16 a, FloatRoundMode rmode, int scale, | |
3005 | float_status *s) | |
3006 | { | |
3007 | FloatParts64 p; | |
3008 | ||
3009 | bfloat16_unpack_canonical(&p, a, s); | |
3010 | return parts_float_to_sint(&p, rmode, scale, INT16_MIN, INT16_MAX, s); | |
3011 | } | |
3012 | ||
3013 | int32_t bfloat16_to_int32_scalbn(bfloat16 a, FloatRoundMode rmode, int scale, | |
3014 | float_status *s) | |
3015 | { | |
3016 | FloatParts64 p; | |
3017 | ||
3018 | bfloat16_unpack_canonical(&p, a, s); | |
3019 | return parts_float_to_sint(&p, rmode, scale, INT32_MIN, INT32_MAX, s); | |
3020 | } | |
3021 | ||
3022 | int64_t bfloat16_to_int64_scalbn(bfloat16 a, FloatRoundMode rmode, int scale, | |
3023 | float_status *s) | |
3024 | { | |
3025 | FloatParts64 p; | |
3026 | ||
3027 | bfloat16_unpack_canonical(&p, a, s); | |
3028 | return parts_float_to_sint(&p, rmode, scale, INT64_MIN, INT64_MAX, s); | |
3029 | } | |
3030 | ||
3031 | static int32_t float128_to_int32_scalbn(float128 a, FloatRoundMode rmode, | |
3032 | int scale, float_status *s) | |
3033 | { | |
3034 | FloatParts128 p; | |
3035 | ||
3036 | float128_unpack_canonical(&p, a, s); | |
3037 | return parts_float_to_sint(&p, rmode, scale, INT32_MIN, INT32_MAX, s); | |
3038 | } | |
3039 | ||
3040 | static int64_t float128_to_int64_scalbn(float128 a, FloatRoundMode rmode, | |
3041 | int scale, float_status *s) | |
3042 | { | |
3043 | FloatParts128 p; | |
3044 | ||
3045 | float128_unpack_canonical(&p, a, s); | |
3046 | return parts_float_to_sint(&p, rmode, scale, INT64_MIN, INT64_MAX, s); | |
2f6c74be RH |
3047 | } |
3048 | ||
a1fc527b RH |
3049 | static int32_t floatx80_to_int32_scalbn(floatx80 a, FloatRoundMode rmode, |
3050 | int scale, float_status *s) | |
3051 | { | |
3052 | FloatParts128 p; | |
3053 | ||
3054 | if (!floatx80_unpack_canonical(&p, a, s)) { | |
3055 | parts_default_nan(&p, s); | |
3056 | } | |
3057 | return parts_float_to_sint(&p, rmode, scale, INT32_MIN, INT32_MAX, s); | |
3058 | } | |
3059 | ||
3060 | static int64_t floatx80_to_int64_scalbn(floatx80 a, FloatRoundMode rmode, | |
3061 | int scale, float_status *s) | |
3062 | { | |
3063 | FloatParts128 p; | |
3064 | ||
3065 | if (!floatx80_unpack_canonical(&p, a, s)) { | |
3066 | parts_default_nan(&p, s); | |
3067 | } | |
3068 | return parts_float_to_sint(&p, rmode, scale, INT64_MIN, INT64_MAX, s); | |
3069 | } | |
3070 | ||
0d93d8ec FC |
3071 | int8_t float16_to_int8(float16 a, float_status *s) |
3072 | { | |
3073 | return float16_to_int8_scalbn(a, s->float_rounding_mode, 0, s); | |
3074 | } | |
3075 | ||
2f6c74be RH |
3076 | int16_t float16_to_int16(float16 a, float_status *s) |
3077 | { | |
3078 | return float16_to_int16_scalbn(a, s->float_rounding_mode, 0, s); | |
3079 | } | |
3080 | ||
3081 | int32_t float16_to_int32(float16 a, float_status *s) | |
3082 | { | |
3083 | return float16_to_int32_scalbn(a, s->float_rounding_mode, 0, s); | |
3084 | } | |
3085 | ||
3086 | int64_t float16_to_int64(float16 a, float_status *s) | |
3087 | { | |
3088 | return float16_to_int64_scalbn(a, s->float_rounding_mode, 0, s); | |
3089 | } | |
3090 | ||
3091 | int16_t float32_to_int16(float32 a, float_status *s) | |
3092 | { | |
3093 | return float32_to_int16_scalbn(a, s->float_rounding_mode, 0, s); | |
3094 | } | |
3095 | ||
3096 | int32_t float32_to_int32(float32 a, float_status *s) | |
3097 | { | |
3098 | return float32_to_int32_scalbn(a, s->float_rounding_mode, 0, s); | |
3099 | } | |
3100 | ||
3101 | int64_t float32_to_int64(float32 a, float_status *s) | |
3102 | { | |
3103 | return float32_to_int64_scalbn(a, s->float_rounding_mode, 0, s); | |
3104 | } | |
3105 | ||
3106 | int16_t float64_to_int16(float64 a, float_status *s) | |
3107 | { | |
3108 | return float64_to_int16_scalbn(a, s->float_rounding_mode, 0, s); | |
3109 | } | |
3110 | ||
3111 | int32_t float64_to_int32(float64 a, float_status *s) | |
3112 | { | |
3113 | return float64_to_int32_scalbn(a, s->float_rounding_mode, 0, s); | |
3114 | } | |
3115 | ||
3116 | int64_t float64_to_int64(float64 a, float_status *s) | |
3117 | { | |
3118 | return float64_to_int64_scalbn(a, s->float_rounding_mode, 0, s); | |
3119 | } | |
3120 | ||
463b3f0d RH |
3121 | int32_t float128_to_int32(float128 a, float_status *s) |
3122 | { | |
3123 | return float128_to_int32_scalbn(a, s->float_rounding_mode, 0, s); | |
3124 | } | |
3125 | ||
3126 | int64_t float128_to_int64(float128 a, float_status *s) | |
3127 | { | |
3128 | return float128_to_int64_scalbn(a, s->float_rounding_mode, 0, s); | |
3129 | } | |
3130 | ||
a1fc527b RH |
3131 | int32_t floatx80_to_int32(floatx80 a, float_status *s) |
3132 | { | |
3133 | return floatx80_to_int32_scalbn(a, s->float_rounding_mode, 0, s); | |
3134 | } | |
3135 | ||
3136 | int64_t floatx80_to_int64(floatx80 a, float_status *s) | |
3137 | { | |
3138 | return floatx80_to_int64_scalbn(a, s->float_rounding_mode, 0, s); | |
3139 | } | |
3140 | ||
2f6c74be RH |
3141 | int16_t float16_to_int16_round_to_zero(float16 a, float_status *s) |
3142 | { | |
3143 | return float16_to_int16_scalbn(a, float_round_to_zero, 0, s); | |
3144 | } | |
3145 | ||
3146 | int32_t float16_to_int32_round_to_zero(float16 a, float_status *s) | |
3147 | { | |
3148 | return float16_to_int32_scalbn(a, float_round_to_zero, 0, s); | |
3149 | } | |
3150 | ||
3151 | int64_t float16_to_int64_round_to_zero(float16 a, float_status *s) | |
3152 | { | |
3153 | return float16_to_int64_scalbn(a, float_round_to_zero, 0, s); | |
ab52f973 AB |
3154 | } |
3155 | ||
2f6c74be RH |
3156 | int16_t float32_to_int16_round_to_zero(float32 a, float_status *s) |
3157 | { | |
3158 | return float32_to_int16_scalbn(a, float_round_to_zero, 0, s); | |
3159 | } | |
ab52f973 | 3160 | |
2f6c74be RH |
3161 | int32_t float32_to_int32_round_to_zero(float32 a, float_status *s) |
3162 | { | |
3163 | return float32_to_int32_scalbn(a, float_round_to_zero, 0, s); | |
3164 | } | |
3165 | ||
3166 | int64_t float32_to_int64_round_to_zero(float32 a, float_status *s) | |
3167 | { | |
3168 | return float32_to_int64_scalbn(a, float_round_to_zero, 0, s); | |
3169 | } | |
3170 | ||
3171 | int16_t float64_to_int16_round_to_zero(float64 a, float_status *s) | |
3172 | { | |
3173 | return float64_to_int16_scalbn(a, float_round_to_zero, 0, s); | |
3174 | } | |
ab52f973 | 3175 | |
2f6c74be RH |
3176 | int32_t float64_to_int32_round_to_zero(float64 a, float_status *s) |
3177 | { | |
3178 | return float64_to_int32_scalbn(a, float_round_to_zero, 0, s); | |
3179 | } | |
ab52f973 | 3180 | |
2f6c74be RH |
3181 | int64_t float64_to_int64_round_to_zero(float64 a, float_status *s) |
3182 | { | |
3183 | return float64_to_int64_scalbn(a, float_round_to_zero, 0, s); | |
3184 | } | |
ab52f973 | 3185 | |
463b3f0d | 3186 | int32_t float128_to_int32_round_to_zero(float128 a, float_status *s) |
34f0c0a9 | 3187 | { |
463b3f0d | 3188 | return float128_to_int32_scalbn(a, float_round_to_zero, 0, s); |
34f0c0a9 LZ |
3189 | } |
3190 | ||
463b3f0d | 3191 | int64_t float128_to_int64_round_to_zero(float128 a, float_status *s) |
34f0c0a9 | 3192 | { |
463b3f0d | 3193 | return float128_to_int64_scalbn(a, float_round_to_zero, 0, s); |
34f0c0a9 LZ |
3194 | } |
3195 | ||
a1fc527b RH |
3196 | int32_t floatx80_to_int32_round_to_zero(floatx80 a, float_status *s) |
3197 | { | |
3198 | return floatx80_to_int32_scalbn(a, float_round_to_zero, 0, s); | |
3199 | } | |
3200 | ||
3201 | int64_t floatx80_to_int64_round_to_zero(floatx80 a, float_status *s) | |
3202 | { | |
3203 | return floatx80_to_int64_scalbn(a, float_round_to_zero, 0, s); | |
3204 | } | |
3205 | ||
34f0c0a9 LZ |
3206 | int16_t bfloat16_to_int16(bfloat16 a, float_status *s) |
3207 | { | |
3208 | return bfloat16_to_int16_scalbn(a, s->float_rounding_mode, 0, s); | |
3209 | } | |
3210 | ||
3211 | int32_t bfloat16_to_int32(bfloat16 a, float_status *s) | |
3212 | { | |
3213 | return bfloat16_to_int32_scalbn(a, s->float_rounding_mode, 0, s); | |
3214 | } | |
3215 | ||
3216 | int64_t bfloat16_to_int64(bfloat16 a, float_status *s) | |
3217 | { | |
3218 | return bfloat16_to_int64_scalbn(a, s->float_rounding_mode, 0, s); | |
3219 | } | |
3220 | ||
3221 | int16_t bfloat16_to_int16_round_to_zero(bfloat16 a, float_status *s) | |
3222 | { | |
3223 | return bfloat16_to_int16_scalbn(a, float_round_to_zero, 0, s); | |
3224 | } | |
3225 | ||
3226 | int32_t bfloat16_to_int32_round_to_zero(bfloat16 a, float_status *s) | |
3227 | { | |
3228 | return bfloat16_to_int32_scalbn(a, float_round_to_zero, 0, s); | |
3229 | } | |
3230 | ||
3231 | int64_t bfloat16_to_int64_round_to_zero(bfloat16 a, float_status *s) | |
3232 | { | |
3233 | return bfloat16_to_int64_scalbn(a, float_round_to_zero, 0, s); | |
3234 | } | |
3235 | ||
ab52f973 | 3236 | /* |
4ab4aef0 | 3237 | * Floating-point to unsigned integer conversions |
ab52f973 AB |
3238 | */ |
3239 | ||
0d93d8ec FC |
3240 | uint8_t float16_to_uint8_scalbn(float16 a, FloatRoundMode rmode, int scale, |
3241 | float_status *s) | |
3242 | { | |
98e256fc RH |
3243 | FloatParts64 p; |
3244 | ||
3245 | float16_unpack_canonical(&p, a, s); | |
4ab4aef0 | 3246 | return parts_float_to_uint(&p, rmode, scale, UINT8_MAX, s); |
0d93d8ec FC |
3247 | } |
3248 | ||
3dede407 | 3249 | uint16_t float16_to_uint16_scalbn(float16 a, FloatRoundMode rmode, int scale, |
2f6c74be RH |
3250 | float_status *s) |
3251 | { | |
98e256fc RH |
3252 | FloatParts64 p; |
3253 | ||
3254 | float16_unpack_canonical(&p, a, s); | |
4ab4aef0 | 3255 | return parts_float_to_uint(&p, rmode, scale, UINT16_MAX, s); |
2f6c74be RH |
3256 | } |
3257 | ||
3dede407 | 3258 | uint32_t float16_to_uint32_scalbn(float16 a, FloatRoundMode rmode, int scale, |
2f6c74be RH |
3259 | float_status *s) |
3260 | { | |
98e256fc RH |
3261 | FloatParts64 p; |
3262 | ||
3263 | float16_unpack_canonical(&p, a, s); | |
4ab4aef0 | 3264 | return parts_float_to_uint(&p, rmode, scale, UINT32_MAX, s); |
2f6c74be RH |
3265 | } |
3266 | ||
3dede407 | 3267 | uint64_t float16_to_uint64_scalbn(float16 a, FloatRoundMode rmode, int scale, |
2f6c74be RH |
3268 | float_status *s) |
3269 | { | |
98e256fc RH |
3270 | FloatParts64 p; |
3271 | ||
3272 | float16_unpack_canonical(&p, a, s); | |
4ab4aef0 | 3273 | return parts_float_to_uint(&p, rmode, scale, UINT64_MAX, s); |
2f6c74be RH |
3274 | } |
3275 | ||
3dede407 | 3276 | uint16_t float32_to_uint16_scalbn(float32 a, FloatRoundMode rmode, int scale, |
2f6c74be RH |
3277 | float_status *s) |
3278 | { | |
98e256fc RH |
3279 | FloatParts64 p; |
3280 | ||
3281 | float32_unpack_canonical(&p, a, s); | |
4ab4aef0 | 3282 | return parts_float_to_uint(&p, rmode, scale, UINT16_MAX, s); |
2f6c74be RH |
3283 | } |
3284 | ||
3dede407 | 3285 | uint32_t float32_to_uint32_scalbn(float32 a, FloatRoundMode rmode, int scale, |
2f6c74be RH |
3286 | float_status *s) |
3287 | { | |
98e256fc RH |
3288 | FloatParts64 p; |
3289 | ||
3290 | float32_unpack_canonical(&p, a, s); | |
4ab4aef0 | 3291 | return parts_float_to_uint(&p, rmode, scale, UINT32_MAX, s); |
2f6c74be RH |
3292 | } |
3293 | ||
3dede407 | 3294 | uint64_t float32_to_uint64_scalbn(float32 a, FloatRoundMode rmode, int scale, |
2f6c74be RH |
3295 | float_status *s) |
3296 | { | |
98e256fc RH |
3297 | FloatParts64 p; |
3298 | ||
3299 | float32_unpack_canonical(&p, a, s); | |
4ab4aef0 | 3300 | return parts_float_to_uint(&p, rmode, scale, UINT64_MAX, s); |
2f6c74be RH |
3301 | } |
3302 | ||
3dede407 | 3303 | uint16_t float64_to_uint16_scalbn(float64 a, FloatRoundMode rmode, int scale, |
2f6c74be RH |
3304 | float_status *s) |
3305 | { | |
98e256fc RH |
3306 | FloatParts64 p; |
3307 | ||
3308 | float64_unpack_canonical(&p, a, s); | |
4ab4aef0 | 3309 | return parts_float_to_uint(&p, rmode, scale, UINT16_MAX, s); |
2f6c74be RH |
3310 | } |
3311 | ||
3dede407 | 3312 | uint32_t float64_to_uint32_scalbn(float64 a, FloatRoundMode rmode, int scale, |
2f6c74be RH |
3313 | float_status *s) |
3314 | { | |
98e256fc RH |
3315 | FloatParts64 p; |
3316 | ||
3317 | float64_unpack_canonical(&p, a, s); | |
4ab4aef0 | 3318 | return parts_float_to_uint(&p, rmode, scale, UINT32_MAX, s); |
2f6c74be RH |
3319 | } |
3320 | ||
3dede407 | 3321 | uint64_t float64_to_uint64_scalbn(float64 a, FloatRoundMode rmode, int scale, |
2f6c74be RH |
3322 | float_status *s) |
3323 | { | |
98e256fc RH |
3324 | FloatParts64 p; |
3325 | ||
3326 | float64_unpack_canonical(&p, a, s); | |
4ab4aef0 RH |
3327 | return parts_float_to_uint(&p, rmode, scale, UINT64_MAX, s); |
3328 | } | |
3329 | ||
3330 | uint16_t bfloat16_to_uint16_scalbn(bfloat16 a, FloatRoundMode rmode, | |
3331 | int scale, float_status *s) | |
3332 | { | |
3333 | FloatParts64 p; | |
3334 | ||
3335 | bfloat16_unpack_canonical(&p, a, s); | |
3336 | return parts_float_to_uint(&p, rmode, scale, UINT16_MAX, s); | |
3337 | } | |
3338 | ||
3339 | uint32_t bfloat16_to_uint32_scalbn(bfloat16 a, FloatRoundMode rmode, | |
3340 | int scale, float_status *s) | |
3341 | { | |
3342 | FloatParts64 p; | |
3343 | ||
3344 | bfloat16_unpack_canonical(&p, a, s); | |
3345 | return parts_float_to_uint(&p, rmode, scale, UINT32_MAX, s); | |
3346 | } | |
3347 | ||
3348 | uint64_t bfloat16_to_uint64_scalbn(bfloat16 a, FloatRoundMode rmode, | |
3349 | int scale, float_status *s) | |
3350 | { | |
3351 | FloatParts64 p; | |
3352 | ||
3353 | bfloat16_unpack_canonical(&p, a, s); | |
3354 | return parts_float_to_uint(&p, rmode, scale, UINT64_MAX, s); | |
3355 | } | |
3356 | ||
3357 | static uint32_t float128_to_uint32_scalbn(float128 a, FloatRoundMode rmode, | |
3358 | int scale, float_status *s) | |
3359 | { | |
3360 | FloatParts128 p; | |
3361 | ||
3362 | float128_unpack_canonical(&p, a, s); | |
3363 | return parts_float_to_uint(&p, rmode, scale, UINT32_MAX, s); | |
3364 | } | |
3365 | ||
3366 | static uint64_t float128_to_uint64_scalbn(float128 a, FloatRoundMode rmode, | |
3367 | int scale, float_status *s) | |
3368 | { | |
3369 | FloatParts128 p; | |
3370 | ||
3371 | float128_unpack_canonical(&p, a, s); | |
3372 | return parts_float_to_uint(&p, rmode, scale, UINT64_MAX, s); | |
2f6c74be RH |
3373 | } |
3374 | ||
0d93d8ec FC |
3375 | uint8_t float16_to_uint8(float16 a, float_status *s) |
3376 | { | |
3377 | return float16_to_uint8_scalbn(a, s->float_rounding_mode, 0, s); | |
3378 | } | |
3379 | ||
2f6c74be RH |
3380 | uint16_t float16_to_uint16(float16 a, float_status *s) |
3381 | { | |
3382 | return float16_to_uint16_scalbn(a, s->float_rounding_mode, 0, s); | |
3383 | } | |
3384 | ||
3385 | uint32_t float16_to_uint32(float16 a, float_status *s) | |
3386 | { | |
3387 | return float16_to_uint32_scalbn(a, s->float_rounding_mode, 0, s); | |
3388 | } | |
3389 | ||
3390 | uint64_t float16_to_uint64(float16 a, float_status *s) | |
3391 | { | |
3392 | return float16_to_uint64_scalbn(a, s->float_rounding_mode, 0, s); | |
3393 | } | |
3394 | ||
3395 | uint16_t float32_to_uint16(float32 a, float_status *s) | |
3396 | { | |
3397 | return float32_to_uint16_scalbn(a, s->float_rounding_mode, 0, s); | |
3398 | } | |
3399 | ||
3400 | uint32_t float32_to_uint32(float32 a, float_status *s) | |
3401 | { | |
3402 | return float32_to_uint32_scalbn(a, s->float_rounding_mode, 0, s); | |
3403 | } | |
3404 | ||
3405 | uint64_t float32_to_uint64(float32 a, float_status *s) | |
3406 | { | |
3407 | return float32_to_uint64_scalbn(a, s->float_rounding_mode, 0, s); | |
3408 | } | |
3409 | ||
3410 | uint16_t float64_to_uint16(float64 a, float_status *s) | |
3411 | { | |
3412 | return float64_to_uint16_scalbn(a, s->float_rounding_mode, 0, s); | |
3413 | } | |
3414 | ||
3415 | uint32_t float64_to_uint32(float64 a, float_status *s) | |
3416 | { | |
3417 | return float64_to_uint32_scalbn(a, s->float_rounding_mode, 0, s); | |
3418 | } | |
3419 | ||
3420 | uint64_t float64_to_uint64(float64 a, float_status *s) | |
3421 | { | |
3422 | return float64_to_uint64_scalbn(a, s->float_rounding_mode, 0, s); | |
3423 | } | |
3424 | ||
4ab4aef0 RH |
3425 | uint32_t float128_to_uint32(float128 a, float_status *s) |
3426 | { | |
3427 | return float128_to_uint32_scalbn(a, s->float_rounding_mode, 0, s); | |
3428 | } | |
3429 | ||
3430 | uint64_t float128_to_uint64(float128 a, float_status *s) | |
3431 | { | |
3432 | return float128_to_uint64_scalbn(a, s->float_rounding_mode, 0, s); | |
3433 | } | |
3434 | ||
2f6c74be RH |
3435 | uint16_t float16_to_uint16_round_to_zero(float16 a, float_status *s) |
3436 | { | |
3437 | return float16_to_uint16_scalbn(a, float_round_to_zero, 0, s); | |
3438 | } | |
3439 | ||
3440 | uint32_t float16_to_uint32_round_to_zero(float16 a, float_status *s) | |
3441 | { | |
3442 | return float16_to_uint32_scalbn(a, float_round_to_zero, 0, s); | |
3443 | } | |
3444 | ||
3445 | uint64_t float16_to_uint64_round_to_zero(float16 a, float_status *s) | |
3446 | { | |
3447 | return float16_to_uint64_scalbn(a, float_round_to_zero, 0, s); | |
3448 | } | |
3449 | ||
3450 | uint16_t float32_to_uint16_round_to_zero(float32 a, float_status *s) | |
3451 | { | |
3452 | return float32_to_uint16_scalbn(a, float_round_to_zero, 0, s); | |
3453 | } | |
3454 | ||
3455 | uint32_t float32_to_uint32_round_to_zero(float32 a, float_status *s) | |
3456 | { | |
3457 | return float32_to_uint32_scalbn(a, float_round_to_zero, 0, s); | |
3458 | } | |
3459 | ||
3460 | uint64_t float32_to_uint64_round_to_zero(float32 a, float_status *s) | |
3461 | { | |
3462 | return float32_to_uint64_scalbn(a, float_round_to_zero, 0, s); | |
3463 | } | |
3464 | ||
3465 | uint16_t float64_to_uint16_round_to_zero(float64 a, float_status *s) | |
3466 | { | |
3467 | return float64_to_uint16_scalbn(a, float_round_to_zero, 0, s); | |
3468 | } | |
3469 | ||
3470 | uint32_t float64_to_uint32_round_to_zero(float64 a, float_status *s) | |
3471 | { | |
3472 | return float64_to_uint32_scalbn(a, float_round_to_zero, 0, s); | |
3473 | } | |
3474 | ||
3475 | uint64_t float64_to_uint64_round_to_zero(float64 a, float_status *s) | |
3476 | { | |
3477 | return float64_to_uint64_scalbn(a, float_round_to_zero, 0, s); | |
3478 | } | |
ab52f973 | 3479 | |
4ab4aef0 | 3480 | uint32_t float128_to_uint32_round_to_zero(float128 a, float_status *s) |
34f0c0a9 | 3481 | { |
4ab4aef0 | 3482 | return float128_to_uint32_scalbn(a, float_round_to_zero, 0, s); |
34f0c0a9 LZ |
3483 | } |
3484 | ||
4ab4aef0 | 3485 | uint64_t float128_to_uint64_round_to_zero(float128 a, float_status *s) |
34f0c0a9 | 3486 | { |
4ab4aef0 | 3487 | return float128_to_uint64_scalbn(a, float_round_to_zero, 0, s); |
34f0c0a9 LZ |
3488 | } |
3489 | ||
3490 | uint16_t bfloat16_to_uint16(bfloat16 a, float_status *s) | |
3491 | { | |
3492 | return bfloat16_to_uint16_scalbn(a, s->float_rounding_mode, 0, s); | |
3493 | } | |
3494 | ||
3495 | uint32_t bfloat16_to_uint32(bfloat16 a, float_status *s) | |
3496 | { | |
3497 | return bfloat16_to_uint32_scalbn(a, s->float_rounding_mode, 0, s); | |
3498 | } | |
3499 | ||
3500 | uint64_t bfloat16_to_uint64(bfloat16 a, float_status *s) | |
3501 | { | |
3502 | return bfloat16_to_uint64_scalbn(a, s->float_rounding_mode, 0, s); | |
3503 | } | |
3504 | ||
3505 | uint16_t bfloat16_to_uint16_round_to_zero(bfloat16 a, float_status *s) | |
3506 | { | |
3507 | return bfloat16_to_uint16_scalbn(a, float_round_to_zero, 0, s); | |
3508 | } | |
3509 | ||
3510 | uint32_t bfloat16_to_uint32_round_to_zero(bfloat16 a, float_status *s) | |
3511 | { | |
3512 | return bfloat16_to_uint32_scalbn(a, float_round_to_zero, 0, s); | |
3513 | } | |
3514 | ||
3515 | uint64_t bfloat16_to_uint64_round_to_zero(bfloat16 a, float_status *s) | |
3516 | { | |
3517 | return bfloat16_to_uint64_scalbn(a, float_round_to_zero, 0, s); | |
3518 | } | |
3519 | ||
c02e1fb8 | 3520 | /* |
e3689519 | 3521 | * Signed integer to floating-point conversions |
c02e1fb8 AB |
3522 | */ |
3523 | ||
2abdfe24 | 3524 | float16 int64_to_float16_scalbn(int64_t a, int scale, float_status *status) |
c02e1fb8 | 3525 | { |
e3689519 RH |
3526 | FloatParts64 p; |
3527 | ||
3528 | parts_sint_to_float(&p, a, scale, status); | |
3529 | return float16_round_pack_canonical(&p, status); | |
c02e1fb8 AB |
3530 | } |
3531 | ||
2abdfe24 RH |
3532 | float16 int32_to_float16_scalbn(int32_t a, int scale, float_status *status) |
3533 | { | |
3534 | return int64_to_float16_scalbn(a, scale, status); | |
3535 | } | |
3536 | ||
3537 | float16 int16_to_float16_scalbn(int16_t a, int scale, float_status *status) | |
3538 | { | |
3539 | return int64_to_float16_scalbn(a, scale, status); | |
3540 | } | |
3541 | ||
3542 | float16 int64_to_float16(int64_t a, float_status *status) | |
3543 | { | |
3544 | return int64_to_float16_scalbn(a, 0, status); | |
3545 | } | |
3546 | ||
c02e1fb8 AB |
3547 | float16 int32_to_float16(int32_t a, float_status *status) |
3548 | { | |
2abdfe24 | 3549 | return int64_to_float16_scalbn(a, 0, status); |
c02e1fb8 AB |
3550 | } |
3551 | ||
3552 | float16 int16_to_float16(int16_t a, float_status *status) | |
3553 | { | |
2abdfe24 | 3554 | return int64_to_float16_scalbn(a, 0, status); |
c02e1fb8 AB |
3555 | } |
3556 | ||
0d93d8ec FC |
3557 | float16 int8_to_float16(int8_t a, float_status *status) |
3558 | { | |
3559 | return int64_to_float16_scalbn(a, 0, status); | |
3560 | } | |
3561 | ||
2abdfe24 | 3562 | float32 int64_to_float32_scalbn(int64_t a, int scale, float_status *status) |
c02e1fb8 | 3563 | { |
e3689519 RH |
3564 | FloatParts64 p; |
3565 | ||
5d0204b8 RH |
3566 | /* Without scaling, there are no overflow concerns. */ |
3567 | if (likely(scale == 0) && can_use_fpu(status)) { | |
3568 | union_float32 ur; | |
3569 | ur.h = a; | |
3570 | return ur.s; | |
3571 | } | |
3572 | ||
e3689519 RH |
3573 | parts64_sint_to_float(&p, a, scale, status); |
3574 | return float32_round_pack_canonical(&p, status); | |
c02e1fb8 AB |
3575 | } |
3576 | ||
2abdfe24 RH |
3577 | float32 int32_to_float32_scalbn(int32_t a, int scale, float_status *status) |
3578 | { | |
3579 | return int64_to_float32_scalbn(a, scale, status); | |
3580 | } | |
3581 | ||
3582 | float32 int16_to_float32_scalbn(int16_t a, int scale, float_status *status) | |
3583 | { | |
3584 | return int64_to_float32_scalbn(a, scale, status); | |
3585 | } | |
3586 | ||
3587 | float32 int64_to_float32(int64_t a, float_status *status) | |
3588 | { | |
3589 | return int64_to_float32_scalbn(a, 0, status); | |
3590 | } | |
3591 | ||
c02e1fb8 AB |
3592 | float32 int32_to_float32(int32_t a, float_status *status) |
3593 | { | |
2abdfe24 | 3594 | return int64_to_float32_scalbn(a, 0, status); |
c02e1fb8 AB |
3595 | } |
3596 | ||
3597 | float32 int16_to_float32(int16_t a, float_status *status) | |
3598 | { | |
2abdfe24 | 3599 | return int64_to_float32_scalbn(a, 0, status); |
c02e1fb8 AB |
3600 | } |
3601 | ||
2abdfe24 | 3602 | float64 int64_to_float64_scalbn(int64_t a, int scale, float_status *status) |
c02e1fb8 | 3603 | { |
e3689519 RH |
3604 | FloatParts64 p; |
3605 | ||
5d0204b8 RH |
3606 | /* Without scaling, there are no overflow concerns. */ |
3607 | if (likely(scale == 0) && can_use_fpu(status)) { | |
3608 | union_float64 ur; | |
3609 | ur.h = a; | |
3610 | return ur.s; | |
3611 | } | |
3612 | ||
e3689519 RH |
3613 | parts_sint_to_float(&p, a, scale, status); |
3614 | return float64_round_pack_canonical(&p, status); | |
c02e1fb8 AB |
3615 | } |
3616 | ||
2abdfe24 RH |
3617 | float64 int32_to_float64_scalbn(int32_t a, int scale, float_status *status) |
3618 | { | |
3619 | return int64_to_float64_scalbn(a, scale, status); | |
3620 | } | |
3621 | ||
3622 | float64 int16_to_float64_scalbn(int16_t a, int scale, float_status *status) | |
3623 | { | |
3624 | return int64_to_float64_scalbn(a, scale, status); | |
3625 | } | |
3626 | ||
3627 | float64 int64_to_float64(int64_t a, float_status *status) | |
3628 | { | |
3629 | return int64_to_float64_scalbn(a, 0, status); | |
3630 | } | |
3631 | ||
c02e1fb8 AB |
3632 | float64 int32_to_float64(int32_t a, float_status *status) |
3633 | { | |
2abdfe24 | 3634 | return int64_to_float64_scalbn(a, 0, status); |
c02e1fb8 AB |
3635 | } |
3636 | ||
3637 | float64 int16_to_float64(int16_t a, float_status *status) | |
3638 | { | |
2abdfe24 | 3639 | return int64_to_float64_scalbn(a, 0, status); |
c02e1fb8 AB |
3640 | } |
3641 | ||
34f0c0a9 LZ |
3642 | bfloat16 int64_to_bfloat16_scalbn(int64_t a, int scale, float_status *status) |
3643 | { | |
e3689519 RH |
3644 | FloatParts64 p; |
3645 | ||
3646 | parts_sint_to_float(&p, a, scale, status); | |
3647 | return bfloat16_round_pack_canonical(&p, status); | |
34f0c0a9 LZ |
3648 | } |
3649 | ||
3650 | bfloat16 int32_to_bfloat16_scalbn(int32_t a, int scale, float_status *status) | |
3651 | { | |
3652 | return int64_to_bfloat16_scalbn(a, scale, status); | |
3653 | } | |
3654 | ||
3655 | bfloat16 int16_to_bfloat16_scalbn(int16_t a, int scale, float_status *status) | |
3656 | { | |
3657 | return int64_to_bfloat16_scalbn(a, scale, status); | |
3658 | } | |
3659 | ||
3660 | bfloat16 int64_to_bfloat16(int64_t a, float_status *status) | |
3661 | { | |
3662 | return int64_to_bfloat16_scalbn(a, 0, status); | |
3663 | } | |
3664 | ||
3665 | bfloat16 int32_to_bfloat16(int32_t a, float_status *status) | |
3666 | { | |
3667 | return int64_to_bfloat16_scalbn(a, 0, status); | |
3668 | } | |
3669 | ||
3670 | bfloat16 int16_to_bfloat16(int16_t a, float_status *status) | |
3671 | { | |
3672 | return int64_to_bfloat16_scalbn(a, 0, status); | |
3673 | } | |
c02e1fb8 | 3674 | |
e3689519 RH |
3675 | float128 int64_to_float128(int64_t a, float_status *status) |
3676 | { | |
3677 | FloatParts128 p; | |
3678 | ||
3679 | parts_sint_to_float(&p, a, 0, status); | |
3680 | return float128_round_pack_canonical(&p, status); | |
3681 | } | |
3682 | ||
3683 | float128 int32_to_float128(int32_t a, float_status *status) | |
3684 | { | |
3685 | return int64_to_float128(a, status); | |
3686 | } | |
3687 | ||
5f952900 RH |
3688 | floatx80 int64_to_floatx80(int64_t a, float_status *status) |
3689 | { | |
3690 | FloatParts128 p; | |
3691 | ||
3692 | parts_sint_to_float(&p, a, 0, status); | |
3693 | return floatx80_round_pack_canonical(&p, status); | |
3694 | } | |
3695 | ||
3696 | floatx80 int32_to_floatx80(int32_t a, float_status *status) | |
3697 | { | |
3698 | return int64_to_floatx80(a, status); | |
3699 | } | |
3700 | ||
c02e1fb8 | 3701 | /* |
37c954a1 | 3702 | * Unsigned Integer to floating-point conversions |
c02e1fb8 AB |
3703 | */ |
3704 | ||
2abdfe24 | 3705 | float16 uint64_to_float16_scalbn(uint64_t a, int scale, float_status *status) |
c02e1fb8 | 3706 | { |
37c954a1 RH |
3707 | FloatParts64 p; |
3708 | ||
3709 | parts_uint_to_float(&p, a, scale, status); | |
3710 | return float16_round_pack_canonical(&p, status); | |
c02e1fb8 AB |
3711 | } |
3712 | ||
2abdfe24 RH |
3713 | float16 uint32_to_float16_scalbn(uint32_t a, int scale, float_status *status) |
3714 | { | |
3715 | return uint64_to_float16_scalbn(a, scale, status); | |
3716 | } | |
3717 | ||
3718 | float16 uint16_to_float16_scalbn(uint16_t a, int scale, float_status *status) | |
3719 | { | |
3720 | return uint64_to_float16_scalbn(a, scale, status); | |
3721 | } | |
3722 | ||
3723 | float16 uint64_to_float16(uint64_t a, float_status *status) | |
3724 | { | |
3725 | return uint64_to_float16_scalbn(a, 0, status); | |
3726 | } | |
3727 | ||
c02e1fb8 AB |
3728 | float16 uint32_to_float16(uint32_t a, float_status *status) |
3729 | { | |
2abdfe24 | 3730 | return uint64_to_float16_scalbn(a, 0, status); |
c02e1fb8 AB |
3731 | } |
3732 | ||
3733 | float16 uint16_to_float16(uint16_t a, float_status *status) | |
3734 | { | |
2abdfe24 | 3735 | return uint64_to_float16_scalbn(a, 0, status); |
c02e1fb8 AB |
3736 | } |
3737 | ||
0d93d8ec FC |
3738 | float16 uint8_to_float16(uint8_t a, float_status *status) |
3739 | { | |
3740 | return uint64_to_float16_scalbn(a, 0, status); | |
3741 | } | |
3742 | ||
2abdfe24 | 3743 | float32 uint64_to_float32_scalbn(uint64_t a, int scale, float_status *status) |
c02e1fb8 | 3744 | { |
37c954a1 RH |
3745 | FloatParts64 p; |
3746 | ||
5d0204b8 RH |
3747 | /* Without scaling, there are no overflow concerns. */ |
3748 | if (likely(scale == 0) && can_use_fpu(status)) { | |
3749 | union_float32 ur; | |
3750 | ur.h = a; | |
3751 | return ur.s; | |
3752 | } | |
3753 | ||
37c954a1 RH |
3754 | parts_uint_to_float(&p, a, scale, status); |
3755 | return float32_round_pack_canonical(&p, status); | |
c02e1fb8 AB |
3756 | } |
3757 | ||
2abdfe24 RH |
3758 | float32 uint32_to_float32_scalbn(uint32_t a, int scale, float_status *status) |
3759 | { | |
3760 | return uint64_to_float32_scalbn(a, scale, status); | |
3761 | } | |
3762 | ||
3763 | float32 uint16_to_float32_scalbn(uint16_t a, int scale, float_status *status) | |
3764 | { | |
3765 | return uint64_to_float32_scalbn(a, scale, status); | |
3766 | } | |
3767 | ||
3768 | float32 uint64_to_float32(uint64_t a, float_status *status) | |
3769 | { | |
3770 | return uint64_to_float32_scalbn(a, 0, status); | |
3771 | } | |
3772 | ||
c02e1fb8 AB |
3773 | float32 uint32_to_float32(uint32_t a, float_status *status) |
3774 | { | |
2abdfe24 | 3775 | return uint64_to_float32_scalbn(a, 0, status); |
c02e1fb8 AB |
3776 | } |
3777 | ||
3778 | float32 uint16_to_float32(uint16_t a, float_status *status) | |
3779 | { | |
2abdfe24 | 3780 | return uint64_to_float32_scalbn(a, 0, status); |
c02e1fb8 AB |
3781 | } |
3782 | ||
2abdfe24 | 3783 | float64 uint64_to_float64_scalbn(uint64_t a, int scale, float_status *status) |
c02e1fb8 | 3784 | { |
37c954a1 RH |
3785 | FloatParts64 p; |
3786 | ||
5d0204b8 RH |
3787 | /* Without scaling, there are no overflow concerns. */ |
3788 | if (likely(scale == 0) && can_use_fpu(status)) { | |
3789 | union_float64 ur; | |
3790 | ur.h = a; | |
3791 | return ur.s; | |
3792 | } | |
3793 | ||
37c954a1 RH |
3794 | parts_uint_to_float(&p, a, scale, status); |
3795 | return float64_round_pack_canonical(&p, status); | |
c02e1fb8 AB |
3796 | } |
3797 | ||
2abdfe24 RH |
3798 | float64 uint32_to_float64_scalbn(uint32_t a, int scale, float_status *status) |
3799 | { | |
3800 | return uint64_to_float64_scalbn(a, scale, status); | |
3801 | } | |
3802 | ||
3803 | float64 uint16_to_float64_scalbn(uint16_t a, int scale, float_status *status) | |
3804 | { | |
3805 | return uint64_to_float64_scalbn(a, scale, status); | |
3806 | } | |
3807 | ||
3808 | float64 uint64_to_float64(uint64_t a, float_status *status) | |
3809 | { | |
3810 | return uint64_to_float64_scalbn(a, 0, status); | |
3811 | } | |
3812 | ||
c02e1fb8 AB |
3813 | float64 uint32_to_float64(uint32_t a, float_status *status) |
3814 | { | |
2abdfe24 | 3815 | return uint64_to_float64_scalbn(a, 0, status); |
c02e1fb8 AB |
3816 | } |
3817 | ||
3818 | float64 uint16_to_float64(uint16_t a, float_status *status) | |
3819 | { | |
2abdfe24 | 3820 | return uint64_to_float64_scalbn(a, 0, status); |
c02e1fb8 AB |
3821 | } |
3822 | ||
34f0c0a9 LZ |
3823 | bfloat16 uint64_to_bfloat16_scalbn(uint64_t a, int scale, float_status *status) |
3824 | { | |
37c954a1 RH |
3825 | FloatParts64 p; |
3826 | ||
3827 | parts_uint_to_float(&p, a, scale, status); | |
3828 | return bfloat16_round_pack_canonical(&p, status); | |
34f0c0a9 LZ |
3829 | } |
3830 | ||
3831 | bfloat16 uint32_to_bfloat16_scalbn(uint32_t a, int scale, float_status *status) | |
3832 | { | |
3833 | return uint64_to_bfloat16_scalbn(a, scale, status); | |
3834 | } | |
3835 | ||
3836 | bfloat16 uint16_to_bfloat16_scalbn(uint16_t a, int scale, float_status *status) | |
3837 | { | |
3838 | return uint64_to_bfloat16_scalbn(a, scale, status); | |
3839 | } | |
3840 | ||
3841 | bfloat16 uint64_to_bfloat16(uint64_t a, float_status *status) | |
3842 | { | |
3843 | return uint64_to_bfloat16_scalbn(a, 0, status); | |
3844 | } | |
3845 | ||
3846 | bfloat16 uint32_to_bfloat16(uint32_t a, float_status *status) | |
3847 | { | |
3848 | return uint64_to_bfloat16_scalbn(a, 0, status); | |
3849 | } | |
3850 | ||
3851 | bfloat16 uint16_to_bfloat16(uint16_t a, float_status *status) | |
3852 | { | |
3853 | return uint64_to_bfloat16_scalbn(a, 0, status); | |
3854 | } | |
3855 | ||
37c954a1 RH |
3856 | float128 uint64_to_float128(uint64_t a, float_status *status) |
3857 | { | |
3858 | FloatParts128 p; | |
3859 | ||
3860 | parts_uint_to_float(&p, a, 0, status); | |
3861 | return float128_round_pack_canonical(&p, status); | |
3862 | } | |
3863 | ||
e1c4667a RH |
3864 | /* |
3865 | * Minimum and maximum | |
89360067 | 3866 | */ |
89360067 | 3867 | |
e1c4667a RH |
3868 | static float16 float16_minmax(float16 a, float16 b, float_status *s, int flags) |
3869 | { | |
3870 | FloatParts64 pa, pb, *pr; | |
89360067 | 3871 | |
e1c4667a RH |
3872 | float16_unpack_canonical(&pa, a, s); |
3873 | float16_unpack_canonical(&pb, b, s); | |
3874 | pr = parts_minmax(&pa, &pb, s, flags); | |
3875 | ||
3876 | return float16_round_pack_canonical(pr, s); | |
89360067 AB |
3877 | } |
3878 | ||
e1c4667a RH |
3879 | static bfloat16 bfloat16_minmax(bfloat16 a, bfloat16 b, |
3880 | float_status *s, int flags) | |
3881 | { | |
3882 | FloatParts64 pa, pb, *pr; | |
3883 | ||
3884 | bfloat16_unpack_canonical(&pa, a, s); | |
3885 | bfloat16_unpack_canonical(&pb, b, s); | |
3886 | pr = parts_minmax(&pa, &pb, s, flags); | |
3887 | ||
3888 | return bfloat16_round_pack_canonical(pr, s); | |
3889 | } | |
3890 | ||
3891 | static float32 float32_minmax(float32 a, float32 b, float_status *s, int flags) | |
3892 | { | |
3893 | FloatParts64 pa, pb, *pr; | |
3894 | ||
3895 | float32_unpack_canonical(&pa, a, s); | |
3896 | float32_unpack_canonical(&pb, b, s); | |
3897 | pr = parts_minmax(&pa, &pb, s, flags); | |
3898 | ||
3899 | return float32_round_pack_canonical(pr, s); | |
3900 | } | |
3901 | ||
3902 | static float64 float64_minmax(float64 a, float64 b, float_status *s, int flags) | |
3903 | { | |
3904 | FloatParts64 pa, pb, *pr; | |
3905 | ||
3906 | float64_unpack_canonical(&pa, a, s); | |
3907 | float64_unpack_canonical(&pb, b, s); | |
3908 | pr = parts_minmax(&pa, &pb, s, flags); | |
3909 | ||
3910 | return float64_round_pack_canonical(pr, s); | |
3911 | } | |
3912 | ||
ceebc129 DH |
3913 | static float128 float128_minmax(float128 a, float128 b, |
3914 | float_status *s, int flags) | |
3915 | { | |
3916 | FloatParts128 pa, pb, *pr; | |
3917 | ||
3918 | float128_unpack_canonical(&pa, a, s); | |
3919 | float128_unpack_canonical(&pb, b, s); | |
3920 | pr = parts_minmax(&pa, &pb, s, flags); | |
3921 | ||
3922 | return float128_round_pack_canonical(pr, s); | |
3923 | } | |
3924 | ||
e1c4667a RH |
3925 | #define MINMAX_1(type, name, flags) \ |
3926 | type type##_##name(type a, type b, float_status *s) \ | |
3927 | { return type##_minmax(a, b, s, flags); } | |
3928 | ||
3929 | #define MINMAX_2(type) \ | |
3930 | MINMAX_1(type, max, 0) \ | |
3931 | MINMAX_1(type, maxnum, minmax_isnum) \ | |
3932 | MINMAX_1(type, maxnummag, minmax_isnum | minmax_ismag) \ | |
3933 | MINMAX_1(type, min, minmax_ismin) \ | |
3934 | MINMAX_1(type, minnum, minmax_ismin | minmax_isnum) \ | |
3935 | MINMAX_1(type, minnummag, minmax_ismin | minmax_isnum | minmax_ismag) | |
3936 | ||
3937 | MINMAX_2(float16) | |
3938 | MINMAX_2(bfloat16) | |
3939 | MINMAX_2(float32) | |
3940 | MINMAX_2(float64) | |
ceebc129 | 3941 | MINMAX_2(float128) |
e1c4667a RH |
3942 | |
3943 | #undef MINMAX_1 | |
3944 | #undef MINMAX_2 | |
8282310d | 3945 | |
6eb169b8 RH |
3946 | /* |
3947 | * Floating point compare | |
3948 | */ | |
0c4c9092 | 3949 | |
6eb169b8 RH |
3950 | static FloatRelation QEMU_FLATTEN |
3951 | float16_do_compare(float16 a, float16 b, float_status *s, bool is_quiet) | |
3952 | { | |
3953 | FloatParts64 pa, pb; | |
0c4c9092 | 3954 | |
6eb169b8 RH |
3955 | float16_unpack_canonical(&pa, a, s); |
3956 | float16_unpack_canonical(&pb, b, s); | |
3957 | return parts_compare(&pa, &pb, s, is_quiet); | |
0c4c9092 AB |
3958 | } |
3959 | ||
71bfd65c | 3960 | FloatRelation float16_compare(float16 a, float16 b, float_status *s) |
d9fe9db9 | 3961 | { |
6eb169b8 | 3962 | return float16_do_compare(a, b, s, false); |
d9fe9db9 EC |
3963 | } |
3964 | ||
71bfd65c | 3965 | FloatRelation float16_compare_quiet(float16 a, float16 b, float_status *s) |
d9fe9db9 | 3966 | { |
6eb169b8 RH |
3967 | return float16_do_compare(a, b, s, true); |
3968 | } | |
3969 | ||
3970 | static FloatRelation QEMU_SOFTFLOAT_ATTR | |
3971 | float32_do_compare(float32 a, float32 b, float_status *s, bool is_quiet) | |
3972 | { | |
3973 | FloatParts64 pa, pb; | |
3974 | ||
3975 | float32_unpack_canonical(&pa, a, s); | |
3976 | float32_unpack_canonical(&pb, b, s); | |
3977 | return parts_compare(&pa, &pb, s, is_quiet); | |
d9fe9db9 EC |
3978 | } |
3979 | ||
71bfd65c | 3980 | static FloatRelation QEMU_FLATTEN |
6eb169b8 | 3981 | float32_hs_compare(float32 xa, float32 xb, float_status *s, bool is_quiet) |
d9fe9db9 EC |
3982 | { |
3983 | union_float32 ua, ub; | |
3984 | ||
3985 | ua.s = xa; | |
3986 | ub.s = xb; | |
3987 | ||
3988 | if (QEMU_NO_HARDFLOAT) { | |
3989 | goto soft; | |
3990 | } | |
3991 | ||
3992 | float32_input_flush2(&ua.s, &ub.s, s); | |
3993 | if (isgreaterequal(ua.h, ub.h)) { | |
3994 | if (isgreater(ua.h, ub.h)) { | |
3995 | return float_relation_greater; | |
3996 | } | |
3997 | return float_relation_equal; | |
3998 | } | |
3999 | if (likely(isless(ua.h, ub.h))) { | |
4000 | return float_relation_less; | |
4001 | } | |
6eb169b8 RH |
4002 | /* |
4003 | * The only condition remaining is unordered. | |
d9fe9db9 EC |
4004 | * Fall through to set flags. |
4005 | */ | |
4006 | soft: | |
6eb169b8 | 4007 | return float32_do_compare(ua.s, ub.s, s, is_quiet); |
d9fe9db9 EC |
4008 | } |
4009 | ||
71bfd65c | 4010 | FloatRelation float32_compare(float32 a, float32 b, float_status *s) |
d9fe9db9 | 4011 | { |
6eb169b8 | 4012 | return float32_hs_compare(a, b, s, false); |
d9fe9db9 EC |
4013 | } |
4014 | ||
71bfd65c | 4015 | FloatRelation float32_compare_quiet(float32 a, float32 b, float_status *s) |
d9fe9db9 | 4016 | { |
6eb169b8 RH |
4017 | return float32_hs_compare(a, b, s, true); |
4018 | } | |
4019 | ||
4020 | static FloatRelation QEMU_SOFTFLOAT_ATTR | |
4021 | float64_do_compare(float64 a, float64 b, float_status *s, bool is_quiet) | |
4022 | { | |
4023 | FloatParts64 pa, pb; | |
4024 | ||
4025 | float64_unpack_canonical(&pa, a, s); | |
4026 | float64_unpack_canonical(&pb, b, s); | |
4027 | return parts_compare(&pa, &pb, s, is_quiet); | |
d9fe9db9 EC |
4028 | } |
4029 | ||
71bfd65c | 4030 | static FloatRelation QEMU_FLATTEN |
6eb169b8 | 4031 | float64_hs_compare(float64 xa, float64 xb, float_status *s, bool is_quiet) |
d9fe9db9 EC |
4032 | { |
4033 | union_float64 ua, ub; | |
4034 | ||
4035 | ua.s = xa; | |
4036 | ub.s = xb; | |
4037 | ||
4038 | if (QEMU_NO_HARDFLOAT) { | |
4039 | goto soft; | |
4040 | } | |
4041 | ||
4042 | float64_input_flush2(&ua.s, &ub.s, s); | |
4043 | if (isgreaterequal(ua.h, ub.h)) { | |
4044 | if (isgreater(ua.h, ub.h)) { | |
4045 | return float_relation_greater; | |
4046 | } | |
4047 | return float_relation_equal; | |
4048 | } | |
4049 | if (likely(isless(ua.h, ub.h))) { | |
4050 | return float_relation_less; | |
4051 | } | |
6eb169b8 RH |
4052 | /* |
4053 | * The only condition remaining is unordered. | |
d9fe9db9 EC |
4054 | * Fall through to set flags. |
4055 | */ | |
4056 | soft: | |
6eb169b8 | 4057 | return float64_do_compare(ua.s, ub.s, s, is_quiet); |
d9fe9db9 EC |
4058 | } |
4059 | ||
71bfd65c | 4060 | FloatRelation float64_compare(float64 a, float64 b, float_status *s) |
d9fe9db9 | 4061 | { |
6eb169b8 | 4062 | return float64_hs_compare(a, b, s, false); |
d9fe9db9 EC |
4063 | } |
4064 | ||
71bfd65c | 4065 | FloatRelation float64_compare_quiet(float64 a, float64 b, float_status *s) |
d9fe9db9 | 4066 | { |
6eb169b8 | 4067 | return float64_hs_compare(a, b, s, true); |
d9fe9db9 EC |
4068 | } |
4069 | ||
8282310d | 4070 | static FloatRelation QEMU_FLATTEN |
6eb169b8 | 4071 | bfloat16_do_compare(bfloat16 a, bfloat16 b, float_status *s, bool is_quiet) |
8282310d | 4072 | { |
98e256fc RH |
4073 | FloatParts64 pa, pb; |
4074 | ||
4075 | bfloat16_unpack_canonical(&pa, a, s); | |
4076 | bfloat16_unpack_canonical(&pb, b, s); | |
6eb169b8 | 4077 | return parts_compare(&pa, &pb, s, is_quiet); |
8282310d LZ |
4078 | } |
4079 | ||
4080 | FloatRelation bfloat16_compare(bfloat16 a, bfloat16 b, float_status *s) | |
4081 | { | |
6eb169b8 | 4082 | return bfloat16_do_compare(a, b, s, false); |
8282310d LZ |
4083 | } |
4084 | ||
4085 | FloatRelation bfloat16_compare_quiet(bfloat16 a, bfloat16 b, float_status *s) | |
4086 | { | |
6eb169b8 RH |
4087 | return bfloat16_do_compare(a, b, s, true); |
4088 | } | |
4089 | ||
4090 | static FloatRelation QEMU_FLATTEN | |
4091 | float128_do_compare(float128 a, float128 b, float_status *s, bool is_quiet) | |
4092 | { | |
4093 | FloatParts128 pa, pb; | |
4094 | ||
4095 | float128_unpack_canonical(&pa, a, s); | |
4096 | float128_unpack_canonical(&pb, b, s); | |
4097 | return parts_compare(&pa, &pb, s, is_quiet); | |
4098 | } | |
4099 | ||
4100 | FloatRelation float128_compare(float128 a, float128 b, float_status *s) | |
4101 | { | |
4102 | return float128_do_compare(a, b, s, false); | |
4103 | } | |
4104 | ||
4105 | FloatRelation float128_compare_quiet(float128 a, float128 b, float_status *s) | |
4106 | { | |
4107 | return float128_do_compare(a, b, s, true); | |
8282310d LZ |
4108 | } |
4109 | ||
1b96b006 RH |
4110 | static FloatRelation QEMU_FLATTEN |
4111 | floatx80_do_compare(floatx80 a, floatx80 b, float_status *s, bool is_quiet) | |
4112 | { | |
4113 | FloatParts128 pa, pb; | |
4114 | ||
4115 | if (!floatx80_unpack_canonical(&pa, a, s) || | |
4116 | !floatx80_unpack_canonical(&pb, b, s)) { | |
4117 | return float_relation_unordered; | |
4118 | } | |
4119 | return parts_compare(&pa, &pb, s, is_quiet); | |
4120 | } | |
4121 | ||
4122 | FloatRelation floatx80_compare(floatx80 a, floatx80 b, float_status *s) | |
4123 | { | |
4124 | return floatx80_do_compare(a, b, s, false); | |
4125 | } | |
4126 | ||
4127 | FloatRelation floatx80_compare_quiet(floatx80 a, floatx80 b, float_status *s) | |
4128 | { | |
4129 | return floatx80_do_compare(a, b, s, true); | |
4130 | } | |
4131 | ||
39626b0c RH |
4132 | /* |
4133 | * Scale by 2**N | |
4134 | */ | |
0bfc9f19 AB |
4135 | |
4136 | float16 float16_scalbn(float16 a, int n, float_status *status) | |
4137 | { | |
39626b0c | 4138 | FloatParts64 p; |
98e256fc | 4139 | |
39626b0c RH |
4140 | float16_unpack_canonical(&p, a, status); |
4141 | parts_scalbn(&p, n, status); | |
4142 | return float16_round_pack_canonical(&p, status); | |
0bfc9f19 AB |
4143 | } |
4144 | ||
4145 | float32 float32_scalbn(float32 a, int n, float_status *status) | |
4146 | { | |
39626b0c | 4147 | FloatParts64 p; |
98e256fc | 4148 | |
39626b0c RH |
4149 | float32_unpack_canonical(&p, a, status); |
4150 | parts_scalbn(&p, n, status); | |
4151 | return float32_round_pack_canonical(&p, status); | |
0bfc9f19 AB |
4152 | } |
4153 | ||
4154 | float64 float64_scalbn(float64 a, int n, float_status *status) | |
4155 | { | |
39626b0c | 4156 | FloatParts64 p; |
98e256fc | 4157 | |
39626b0c RH |
4158 | float64_unpack_canonical(&p, a, status); |
4159 | parts_scalbn(&p, n, status); | |
4160 | return float64_round_pack_canonical(&p, status); | |
0bfc9f19 AB |
4161 | } |
4162 | ||
8282310d LZ |
4163 | bfloat16 bfloat16_scalbn(bfloat16 a, int n, float_status *status) |
4164 | { | |
39626b0c | 4165 | FloatParts64 p; |
98e256fc | 4166 | |
39626b0c RH |
4167 | bfloat16_unpack_canonical(&p, a, status); |
4168 | parts_scalbn(&p, n, status); | |
4169 | return bfloat16_round_pack_canonical(&p, status); | |
4170 | } | |
4171 | ||
4172 | float128 float128_scalbn(float128 a, int n, float_status *status) | |
4173 | { | |
4174 | FloatParts128 p; | |
4175 | ||
4176 | float128_unpack_canonical(&p, a, status); | |
4177 | parts_scalbn(&p, n, status); | |
4178 | return float128_round_pack_canonical(&p, status); | |
8282310d LZ |
4179 | } |
4180 | ||
872e6991 RH |
4181 | floatx80 floatx80_scalbn(floatx80 a, int n, float_status *status) |
4182 | { | |
4183 | FloatParts128 p; | |
4184 | ||
4185 | if (!floatx80_unpack_canonical(&p, a, status)) { | |
4186 | return floatx80_default_nan(status); | |
4187 | } | |
4188 | parts_scalbn(&p, n, status); | |
4189 | return floatx80_round_pack_canonical(&p, status); | |
4190 | } | |
4191 | ||
c13bb2da AB |
4192 | /* |
4193 | * Square Root | |
c13bb2da AB |
4194 | */ |
4195 | ||
97ff87c0 | 4196 | float16 QEMU_FLATTEN float16_sqrt(float16 a, float_status *status) |
c13bb2da | 4197 | { |
9261b245 | 4198 | FloatParts64 p; |
98e256fc | 4199 | |
9261b245 RH |
4200 | float16_unpack_canonical(&p, a, status); |
4201 | parts_sqrt(&p, status, &float16_params); | |
4202 | return float16_round_pack_canonical(&p, status); | |
c13bb2da AB |
4203 | } |
4204 | ||
f131bae8 EC |
4205 | static float32 QEMU_SOFTFLOAT_ATTR |
4206 | soft_f32_sqrt(float32 a, float_status *status) | |
c13bb2da | 4207 | { |
9261b245 | 4208 | FloatParts64 p; |
98e256fc | 4209 | |
9261b245 RH |
4210 | float32_unpack_canonical(&p, a, status); |
4211 | parts_sqrt(&p, status, &float32_params); | |
4212 | return float32_round_pack_canonical(&p, status); | |
c13bb2da AB |
4213 | } |
4214 | ||
f131bae8 EC |
4215 | static float64 QEMU_SOFTFLOAT_ATTR |
4216 | soft_f64_sqrt(float64 a, float_status *status) | |
c13bb2da | 4217 | { |
9261b245 | 4218 | FloatParts64 p; |
98e256fc | 4219 | |
9261b245 RH |
4220 | float64_unpack_canonical(&p, a, status); |
4221 | parts_sqrt(&p, status, &float64_params); | |
4222 | return float64_round_pack_canonical(&p, status); | |
c13bb2da AB |
4223 | } |
4224 | ||
f131bae8 EC |
4225 | float32 QEMU_FLATTEN float32_sqrt(float32 xa, float_status *s) |
4226 | { | |
4227 | union_float32 ua, ur; | |
4228 | ||
4229 | ua.s = xa; | |
4230 | if (unlikely(!can_use_fpu(s))) { | |
4231 | goto soft; | |
4232 | } | |
4233 | ||
4234 | float32_input_flush1(&ua.s, s); | |
4235 | if (QEMU_HARDFLOAT_1F32_USE_FP) { | |
4236 | if (unlikely(!(fpclassify(ua.h) == FP_NORMAL || | |
4237 | fpclassify(ua.h) == FP_ZERO) || | |
4238 | signbit(ua.h))) { | |
4239 | goto soft; | |
4240 | } | |
4241 | } else if (unlikely(!float32_is_zero_or_normal(ua.s) || | |
4242 | float32_is_neg(ua.s))) { | |
4243 | goto soft; | |
4244 | } | |
4245 | ur.h = sqrtf(ua.h); | |
4246 | return ur.s; | |
4247 | ||
4248 | soft: | |
4249 | return soft_f32_sqrt(ua.s, s); | |
4250 | } | |
4251 | ||
4252 | float64 QEMU_FLATTEN float64_sqrt(float64 xa, float_status *s) | |
4253 | { | |
4254 | union_float64 ua, ur; | |
4255 | ||
4256 | ua.s = xa; | |
4257 | if (unlikely(!can_use_fpu(s))) { | |
4258 | goto soft; | |
4259 | } | |
4260 | ||
4261 | float64_input_flush1(&ua.s, s); | |
4262 | if (QEMU_HARDFLOAT_1F64_USE_FP) { | |
4263 | if (unlikely(!(fpclassify(ua.h) == FP_NORMAL || | |
4264 | fpclassify(ua.h) == FP_ZERO) || | |
4265 | signbit(ua.h))) { | |
4266 | goto soft; | |
4267 | } | |
4268 | } else if (unlikely(!float64_is_zero_or_normal(ua.s) || | |
4269 | float64_is_neg(ua.s))) { | |
4270 | goto soft; | |
4271 | } | |
4272 | ur.h = sqrt(ua.h); | |
4273 | return ur.s; | |
4274 | ||
4275 | soft: | |
4276 | return soft_f64_sqrt(ua.s, s); | |
4277 | } | |
4278 | ||
8282310d LZ |
4279 | bfloat16 QEMU_FLATTEN bfloat16_sqrt(bfloat16 a, float_status *status) |
4280 | { | |
9261b245 | 4281 | FloatParts64 p; |
98e256fc | 4282 | |
9261b245 RH |
4283 | bfloat16_unpack_canonical(&p, a, status); |
4284 | parts_sqrt(&p, status, &bfloat16_params); | |
4285 | return bfloat16_round_pack_canonical(&p, status); | |
4286 | } | |
4287 | ||
4288 | float128 QEMU_FLATTEN float128_sqrt(float128 a, float_status *status) | |
4289 | { | |
4290 | FloatParts128 p; | |
4291 | ||
4292 | float128_unpack_canonical(&p, a, status); | |
4293 | parts_sqrt(&p, status, &float128_params); | |
4294 | return float128_round_pack_canonical(&p, status); | |
8282310d LZ |
4295 | } |
4296 | ||
aa5e19cc RH |
4297 | floatx80 floatx80_sqrt(floatx80 a, float_status *s) |
4298 | { | |
4299 | FloatParts128 p; | |
4300 | ||
4301 | if (!floatx80_unpack_canonical(&p, a, s)) { | |
4302 | return floatx80_default_nan(s); | |
4303 | } | |
4304 | parts_sqrt(&p, s, &floatx80_params[s->floatx80_rounding_precision]); | |
4305 | return floatx80_round_pack_canonical(&p, s); | |
4306 | } | |
4307 | ||
2fa3546c RH |
4308 | /* |
4309 | * log2 | |
4310 | */ | |
4311 | float32 float32_log2(float32 a, float_status *status) | |
4312 | { | |
4313 | FloatParts64 p; | |
4314 | ||
4315 | float32_unpack_canonical(&p, a, status); | |
4316 | parts_log2(&p, status, &float32_params); | |
4317 | return float32_round_pack_canonical(&p, status); | |
4318 | } | |
4319 | ||
4320 | float64 float64_log2(float64 a, float_status *status) | |
4321 | { | |
4322 | FloatParts64 p; | |
4323 | ||
4324 | float64_unpack_canonical(&p, a, status); | |
4325 | parts_log2(&p, status, &float64_params); | |
4326 | return float64_round_pack_canonical(&p, status); | |
4327 | } | |
4328 | ||
0218a16e RH |
4329 | /*---------------------------------------------------------------------------- |
4330 | | The pattern for a default generated NaN. | |
4331 | *----------------------------------------------------------------------------*/ | |
4332 | ||
4333 | float16 float16_default_nan(float_status *status) | |
4334 | { | |
0fc07cad RH |
4335 | FloatParts64 p; |
4336 | ||
4337 | parts_default_nan(&p, status); | |
0218a16e | 4338 | p.frac >>= float16_params.frac_shift; |
71fd178e | 4339 | return float16_pack_raw(&p); |
0218a16e RH |
4340 | } |
4341 | ||
4342 | float32 float32_default_nan(float_status *status) | |
4343 | { | |
0fc07cad RH |
4344 | FloatParts64 p; |
4345 | ||
4346 | parts_default_nan(&p, status); | |
0218a16e | 4347 | p.frac >>= float32_params.frac_shift; |
71fd178e | 4348 | return float32_pack_raw(&p); |
0218a16e RH |
4349 | } |
4350 | ||
4351 | float64 float64_default_nan(float_status *status) | |
4352 | { | |
0fc07cad RH |
4353 | FloatParts64 p; |
4354 | ||
4355 | parts_default_nan(&p, status); | |
0218a16e | 4356 | p.frac >>= float64_params.frac_shift; |
71fd178e | 4357 | return float64_pack_raw(&p); |
0218a16e RH |
4358 | } |
4359 | ||
4360 | float128 float128_default_nan(float_status *status) | |
4361 | { | |
e9034ea8 | 4362 | FloatParts128 p; |
0218a16e | 4363 | |
0fc07cad | 4364 | parts_default_nan(&p, status); |
e9034ea8 RH |
4365 | frac_shr(&p, float128_params.frac_shift); |
4366 | return float128_pack_raw(&p); | |
0218a16e | 4367 | } |
c13bb2da | 4368 | |
8282310d LZ |
4369 | bfloat16 bfloat16_default_nan(float_status *status) |
4370 | { | |
0fc07cad RH |
4371 | FloatParts64 p; |
4372 | ||
4373 | parts_default_nan(&p, status); | |
8282310d | 4374 | p.frac >>= bfloat16_params.frac_shift; |
71fd178e | 4375 | return bfloat16_pack_raw(&p); |
8282310d LZ |
4376 | } |
4377 | ||
158142c2 | 4378 | /*---------------------------------------------------------------------------- |
377ed926 RH |
4379 | | Returns a quiet NaN from a signalling NaN for the floating point value `a'. |
4380 | *----------------------------------------------------------------------------*/ | |
4381 | ||
4382 | float16 float16_silence_nan(float16 a, float_status *status) | |
4383 | { | |
3dddb203 RH |
4384 | FloatParts64 p; |
4385 | ||
4386 | float16_unpack_raw(&p, a); | |
377ed926 | 4387 | p.frac <<= float16_params.frac_shift; |
92ff426d | 4388 | parts_silence_nan(&p, status); |
377ed926 | 4389 | p.frac >>= float16_params.frac_shift; |
71fd178e | 4390 | return float16_pack_raw(&p); |
377ed926 RH |
4391 | } |
4392 | ||
4393 | float32 float32_silence_nan(float32 a, float_status *status) | |
4394 | { | |
3dddb203 RH |
4395 | FloatParts64 p; |
4396 | ||
4397 | float32_unpack_raw(&p, a); | |
377ed926 | 4398 | p.frac <<= float32_params.frac_shift; |
92ff426d | 4399 | parts_silence_nan(&p, status); |
377ed926 | 4400 | p.frac >>= float32_params.frac_shift; |
71fd178e | 4401 | return float32_pack_raw(&p); |
377ed926 RH |
4402 | } |
4403 | ||
4404 | float64 float64_silence_nan(float64 a, float_status *status) | |
4405 | { | |
3dddb203 RH |
4406 | FloatParts64 p; |
4407 | ||
4408 | float64_unpack_raw(&p, a); | |
377ed926 | 4409 | p.frac <<= float64_params.frac_shift; |
92ff426d | 4410 | parts_silence_nan(&p, status); |
377ed926 | 4411 | p.frac >>= float64_params.frac_shift; |
71fd178e | 4412 | return float64_pack_raw(&p); |
377ed926 RH |
4413 | } |
4414 | ||
8282310d LZ |
4415 | bfloat16 bfloat16_silence_nan(bfloat16 a, float_status *status) |
4416 | { | |
3dddb203 RH |
4417 | FloatParts64 p; |
4418 | ||
4419 | bfloat16_unpack_raw(&p, a); | |
8282310d | 4420 | p.frac <<= bfloat16_params.frac_shift; |
92ff426d | 4421 | parts_silence_nan(&p, status); |
8282310d | 4422 | p.frac >>= bfloat16_params.frac_shift; |
71fd178e | 4423 | return bfloat16_pack_raw(&p); |
8282310d | 4424 | } |
e6b405fe | 4425 | |
0018b1f4 RH |
4426 | float128 float128_silence_nan(float128 a, float_status *status) |
4427 | { | |
4428 | FloatParts128 p; | |
4429 | ||
4430 | float128_unpack_raw(&p, a); | |
4431 | frac_shl(&p, float128_params.frac_shift); | |
4432 | parts_silence_nan(&p, status); | |
4433 | frac_shr(&p, float128_params.frac_shift); | |
4434 | return float128_pack_raw(&p); | |
4435 | } | |
4436 | ||
e6b405fe AB |
4437 | /*---------------------------------------------------------------------------- |
4438 | | If `a' is denormal and we are in flush-to-zero mode then set the | |
4439 | | input-denormal exception and return zero. Otherwise just return the value. | |
4440 | *----------------------------------------------------------------------------*/ | |
4441 | ||
f8155c1d | 4442 | static bool parts_squash_denormal(FloatParts64 p, float_status *status) |
e6b405fe AB |
4443 | { |
4444 | if (p.exp == 0 && p.frac != 0) { | |
4445 | float_raise(float_flag_input_denormal, status); | |
4446 | return true; | |
4447 | } | |
4448 | ||
4449 | return false; | |
4450 | } | |
4451 | ||
4452 | float16 float16_squash_input_denormal(float16 a, float_status *status) | |
4453 | { | |
4454 | if (status->flush_inputs_to_zero) { | |
3dddb203 RH |
4455 | FloatParts64 p; |
4456 | ||
4457 | float16_unpack_raw(&p, a); | |
e6b405fe AB |
4458 | if (parts_squash_denormal(p, status)) { |
4459 | return float16_set_sign(float16_zero, p.sign); | |
4460 | } | |
4461 | } | |
4462 | return a; | |
4463 | } | |
4464 | ||
4465 | float32 float32_squash_input_denormal(float32 a, float_status *status) | |
4466 | { | |
4467 | if (status->flush_inputs_to_zero) { | |
3dddb203 RH |
4468 | FloatParts64 p; |
4469 | ||
4470 | float32_unpack_raw(&p, a); | |
e6b405fe AB |
4471 | if (parts_squash_denormal(p, status)) { |
4472 | return float32_set_sign(float32_zero, p.sign); | |
4473 | } | |
4474 | } | |
4475 | return a; | |
4476 | } | |
4477 | ||
4478 | float64 float64_squash_input_denormal(float64 a, float_status *status) | |
4479 | { | |
4480 | if (status->flush_inputs_to_zero) { | |
3dddb203 RH |
4481 | FloatParts64 p; |
4482 | ||
4483 | float64_unpack_raw(&p, a); | |
e6b405fe AB |
4484 | if (parts_squash_denormal(p, status)) { |
4485 | return float64_set_sign(float64_zero, p.sign); | |
4486 | } | |
4487 | } | |
4488 | return a; | |
4489 | } | |
4490 | ||
8282310d LZ |
4491 | bfloat16 bfloat16_squash_input_denormal(bfloat16 a, float_status *status) |
4492 | { | |
4493 | if (status->flush_inputs_to_zero) { | |
3dddb203 RH |
4494 | FloatParts64 p; |
4495 | ||
4496 | bfloat16_unpack_raw(&p, a); | |
8282310d LZ |
4497 | if (parts_squash_denormal(p, status)) { |
4498 | return bfloat16_set_sign(bfloat16_zero, p.sign); | |
4499 | } | |
4500 | } | |
4501 | return a; | |
4502 | } | |
4503 | ||
158142c2 | 4504 | /*---------------------------------------------------------------------------- |
feaf2e9c RH |
4505 | | Normalizes the subnormal extended double-precision floating-point value |
4506 | | represented by the denormalized significand `aSig'. The normalized exponent | |
4507 | | and significand are stored at the locations pointed to by `zExpPtr' and | |
158142c2 FB |
4508 | | `zSigPtr', respectively. |
4509 | *----------------------------------------------------------------------------*/ | |
4510 | ||
feaf2e9c RH |
4511 | void normalizeFloatx80Subnormal(uint64_t aSig, int32_t *zExpPtr, |
4512 | uint64_t *zSigPtr) | |
158142c2 | 4513 | { |
8f506c70 | 4514 | int8_t shiftCount; |
158142c2 | 4515 | |
feaf2e9c | 4516 | shiftCount = clz64(aSig); |
158142c2 FB |
4517 | *zSigPtr = aSig<<shiftCount; |
4518 | *zExpPtr = 1 - shiftCount; | |
158142c2 FB |
4519 | } |
4520 | ||
158142c2 FB |
4521 | /*---------------------------------------------------------------------------- |
4522 | | Takes an abstract floating-point value having sign `zSign', exponent `zExp', | |
feaf2e9c RH |
4523 | | and extended significand formed by the concatenation of `zSig0' and `zSig1', |
4524 | | and returns the proper extended double-precision floating-point value | |
4525 | | corresponding to the abstract input. Ordinarily, the abstract value is | |
4526 | | rounded and packed into the extended double-precision format, with the | |
4527 | | inexact exception raised if the abstract input cannot be represented | |
158142c2 FB |
4528 | | exactly. However, if the abstract value is too large, the overflow and |
4529 | | inexact exceptions are raised and an infinity or maximal finite value is | |
4530 | | returned. If the abstract value is too small, the input value is rounded to | |
4531 | | a subnormal number, and the underflow and inexact exceptions are raised if | |
feaf2e9c RH |
4532 | | the abstract input cannot be represented exactly as a subnormal extended |
4533 | | double-precision floating-point number. | |
4534 | | If `roundingPrecision' is floatx80_precision_s or floatx80_precision_d, | |
4535 | | the result is rounded to the same number of bits as single or double | |
4536 | | precision, respectively. Otherwise, the result is rounded to the full | |
4537 | | precision of the extended double-precision format. | |
4538 | | The input significand must be normalized or smaller. If the input | |
4539 | | significand is not normalized, `zExp' must be 0; in that case, the result | |
4540 | | returned is a subnormal number, and it must not require rounding. The | |
4541 | | handling of underflow and overflow follows the IEC/IEEE Standard for Binary | |
4542 | | Floating-Point Arithmetic. | |
158142c2 FB |
4543 | *----------------------------------------------------------------------------*/ |
4544 | ||
feaf2e9c RH |
4545 | floatx80 roundAndPackFloatx80(FloatX80RoundPrec roundingPrecision, bool zSign, |
4546 | int32_t zExp, uint64_t zSig0, uint64_t zSig1, | |
4547 | float_status *status) | |
158142c2 | 4548 | { |
feaf2e9c RH |
4549 | FloatRoundMode roundingMode; |
4550 | bool roundNearestEven, increment, isTiny; | |
4551 | int64_t roundIncrement, roundMask, roundBits; | |
158142c2 | 4552 | |
a2f2d288 | 4553 | roundingMode = status->float_rounding_mode; |
158142c2 | 4554 | roundNearestEven = ( roundingMode == float_round_nearest_even ); |
feaf2e9c RH |
4555 | switch (roundingPrecision) { |
4556 | case floatx80_precision_x: | |
4557 | goto precision80; | |
4558 | case floatx80_precision_d: | |
4559 | roundIncrement = UINT64_C(0x0000000000000400); | |
4560 | roundMask = UINT64_C(0x00000000000007FF); | |
4561 | break; | |
4562 | case floatx80_precision_s: | |
4563 | roundIncrement = UINT64_C(0x0000008000000000); | |
4564 | roundMask = UINT64_C(0x000000FFFFFFFFFF); | |
4565 | break; | |
4566 | default: | |
4567 | g_assert_not_reached(); | |
4568 | } | |
4569 | zSig0 |= ( zSig1 != 0 ); | |
dc355b76 PM |
4570 | switch (roundingMode) { |
4571 | case float_round_nearest_even: | |
f9288a76 | 4572 | case float_round_ties_away: |
dc355b76 PM |
4573 | break; |
4574 | case float_round_to_zero: | |
4575 | roundIncrement = 0; | |
4576 | break; | |
4577 | case float_round_up: | |
feaf2e9c | 4578 | roundIncrement = zSign ? 0 : roundMask; |
dc355b76 PM |
4579 | break; |
4580 | case float_round_down: | |
feaf2e9c | 4581 | roundIncrement = zSign ? roundMask : 0; |
5d64abb3 | 4582 | break; |
dc355b76 PM |
4583 | default: |
4584 | abort(); | |
158142c2 | 4585 | } |
feaf2e9c RH |
4586 | roundBits = zSig0 & roundMask; |
4587 | if ( 0x7FFD <= (uint32_t) ( zExp - 1 ) ) { | |
4588 | if ( ( 0x7FFE < zExp ) | |
4589 | || ( ( zExp == 0x7FFE ) && ( zSig0 + roundIncrement < zSig0 ) ) | |
158142c2 | 4590 | ) { |
feaf2e9c | 4591 | goto overflow; |
158142c2 | 4592 | } |
feaf2e9c | 4593 | if ( zExp <= 0 ) { |
a2f2d288 | 4594 | if (status->flush_to_zero) { |
ff32e16e | 4595 | float_raise(float_flag_output_denormal, status); |
feaf2e9c | 4596 | return packFloatx80(zSign, 0, 0); |
e6afc87f | 4597 | } |
a828b373 | 4598 | isTiny = status->tininess_before_rounding |
feaf2e9c RH |
4599 | || (zExp < 0 ) |
4600 | || (zSig0 <= zSig0 + roundIncrement); | |
4601 | shift64RightJamming( zSig0, 1 - zExp, &zSig0 ); | |
158142c2 | 4602 | zExp = 0; |
feaf2e9c | 4603 | roundBits = zSig0 & roundMask; |
ff32e16e PM |
4604 | if (isTiny && roundBits) { |
4605 | float_raise(float_flag_underflow, status); | |
4606 | } | |
feaf2e9c RH |
4607 | if (roundBits) { |
4608 | float_raise(float_flag_inexact, status); | |
4609 | } | |
4610 | zSig0 += roundIncrement; | |
4611 | if ( (int64_t) zSig0 < 0 ) zExp = 1; | |
4612 | roundIncrement = roundMask + 1; | |
4613 | if ( roundNearestEven && ( roundBits<<1 == roundIncrement ) ) { | |
4614 | roundMask |= roundIncrement; | |
5d64abb3 | 4615 | } |
feaf2e9c RH |
4616 | zSig0 &= ~ roundMask; |
4617 | return packFloatx80( zSign, zExp, zSig0 ); | |
158142c2 FB |
4618 | } |
4619 | } | |
a2f2d288 | 4620 | if (roundBits) { |
d82f3b2d | 4621 | float_raise(float_flag_inexact, status); |
a2f2d288 | 4622 | } |
feaf2e9c RH |
4623 | zSig0 += roundIncrement; |
4624 | if ( zSig0 < roundIncrement ) { | |
4625 | ++zExp; | |
4626 | zSig0 = UINT64_C(0x8000000000000000); | |
158142c2 FB |
4627 | } |
4628 | roundIncrement = roundMask + 1; | |
4629 | if ( roundNearestEven && ( roundBits<<1 == roundIncrement ) ) { | |
4630 | roundMask |= roundIncrement; | |
4631 | } | |
4632 | zSig0 &= ~ roundMask; | |
4633 | if ( zSig0 == 0 ) zExp = 0; | |
4634 | return packFloatx80( zSign, zExp, zSig0 ); | |
4635 | precision80: | |
dc355b76 PM |
4636 | switch (roundingMode) { |
4637 | case float_round_nearest_even: | |
f9288a76 | 4638 | case float_round_ties_away: |
dc355b76 PM |
4639 | increment = ((int64_t)zSig1 < 0); |
4640 | break; | |
4641 | case float_round_to_zero: | |
4642 | increment = 0; | |
4643 | break; | |
4644 | case float_round_up: | |
4645 | increment = !zSign && zSig1; | |
4646 | break; | |
4647 | case float_round_down: | |
4648 | increment = zSign && zSig1; | |
4649 | break; | |
4650 | default: | |
4651 | abort(); | |
158142c2 | 4652 | } |
bb98fe42 | 4653 | if ( 0x7FFD <= (uint32_t) ( zExp - 1 ) ) { |
158142c2 FB |
4654 | if ( ( 0x7FFE < zExp ) |
4655 | || ( ( zExp == 0x7FFE ) | |
e9321124 | 4656 | && ( zSig0 == UINT64_C(0xFFFFFFFFFFFFFFFF) ) |
158142c2 FB |
4657 | && increment |
4658 | ) | |
4659 | ) { | |
4660 | roundMask = 0; | |
4661 | overflow: | |
ff32e16e | 4662 | float_raise(float_flag_overflow | float_flag_inexact, status); |
158142c2 FB |
4663 | if ( ( roundingMode == float_round_to_zero ) |
4664 | || ( zSign && ( roundingMode == float_round_up ) ) | |
4665 | || ( ! zSign && ( roundingMode == float_round_down ) ) | |
4666 | ) { | |
4667 | return packFloatx80( zSign, 0x7FFE, ~ roundMask ); | |
4668 | } | |
0f605c88 LV |
4669 | return packFloatx80(zSign, |
4670 | floatx80_infinity_high, | |
4671 | floatx80_infinity_low); | |
158142c2 FB |
4672 | } |
4673 | if ( zExp <= 0 ) { | |
a828b373 RH |
4674 | isTiny = status->tininess_before_rounding |
4675 | || (zExp < 0) | |
4676 | || !increment | |
4677 | || (zSig0 < UINT64_C(0xFFFFFFFFFFFFFFFF)); | |
158142c2 FB |
4678 | shift64ExtraRightJamming( zSig0, zSig1, 1 - zExp, &zSig0, &zSig1 ); |
4679 | zExp = 0; | |
ff32e16e PM |
4680 | if (isTiny && zSig1) { |
4681 | float_raise(float_flag_underflow, status); | |
4682 | } | |
a2f2d288 | 4683 | if (zSig1) { |
d82f3b2d | 4684 | float_raise(float_flag_inexact, status); |
a2f2d288 | 4685 | } |
dc355b76 PM |
4686 | switch (roundingMode) { |
4687 | case float_round_nearest_even: | |
f9288a76 | 4688 | case float_round_ties_away: |
dc355b76 PM |
4689 | increment = ((int64_t)zSig1 < 0); |
4690 | break; | |
4691 | case float_round_to_zero: | |
4692 | increment = 0; | |
4693 | break; | |
4694 | case float_round_up: | |
4695 | increment = !zSign && zSig1; | |
4696 | break; | |
4697 | case float_round_down: | |
4698 | increment = zSign && zSig1; | |
4699 | break; | |
4700 | default: | |
4701 | abort(); | |
158142c2 FB |
4702 | } |
4703 | if ( increment ) { | |
4704 | ++zSig0; | |
40662886 PMD |
4705 | if (!(zSig1 << 1) && roundNearestEven) { |
4706 | zSig0 &= ~1; | |
4707 | } | |
bb98fe42 | 4708 | if ( (int64_t) zSig0 < 0 ) zExp = 1; |
158142c2 FB |
4709 | } |
4710 | return packFloatx80( zSign, zExp, zSig0 ); | |
4711 | } | |
4712 | } | |
a2f2d288 | 4713 | if (zSig1) { |
d82f3b2d | 4714 | float_raise(float_flag_inexact, status); |
a2f2d288 | 4715 | } |
158142c2 FB |
4716 | if ( increment ) { |
4717 | ++zSig0; | |
4718 | if ( zSig0 == 0 ) { | |
4719 | ++zExp; | |
e9321124 | 4720 | zSig0 = UINT64_C(0x8000000000000000); |
158142c2 FB |
4721 | } |
4722 | else { | |
40662886 PMD |
4723 | if (!(zSig1 << 1) && roundNearestEven) { |
4724 | zSig0 &= ~1; | |
4725 | } | |
158142c2 FB |
4726 | } |
4727 | } | |
4728 | else { | |
4729 | if ( zSig0 == 0 ) zExp = 0; | |
4730 | } | |
4731 | return packFloatx80( zSign, zExp, zSig0 ); | |
4732 | ||
4733 | } | |
4734 | ||
4735 | /*---------------------------------------------------------------------------- | |
4736 | | Takes an abstract floating-point value having sign `zSign', exponent | |
4737 | | `zExp', and significand formed by the concatenation of `zSig0' and `zSig1', | |
4738 | | and returns the proper extended double-precision floating-point value | |
4739 | | corresponding to the abstract input. This routine is just like | |
4740 | | `roundAndPackFloatx80' except that the input significand does not have to be | |
4741 | | normalized. | |
4742 | *----------------------------------------------------------------------------*/ | |
4743 | ||
8da5f1db | 4744 | floatx80 normalizeRoundAndPackFloatx80(FloatX80RoundPrec roundingPrecision, |
c120391c | 4745 | bool zSign, int32_t zExp, |
88857aca LV |
4746 | uint64_t zSig0, uint64_t zSig1, |
4747 | float_status *status) | |
158142c2 | 4748 | { |
8f506c70 | 4749 | int8_t shiftCount; |
158142c2 FB |
4750 | |
4751 | if ( zSig0 == 0 ) { | |
4752 | zSig0 = zSig1; | |
4753 | zSig1 = 0; | |
4754 | zExp -= 64; | |
4755 | } | |
0019d5c3 | 4756 | shiftCount = clz64(zSig0); |
158142c2 FB |
4757 | shortShift128Left( zSig0, zSig1, shiftCount, &zSig0, &zSig1 ); |
4758 | zExp -= shiftCount; | |
ff32e16e PM |
4759 | return roundAndPackFloatx80(roundingPrecision, zSign, zExp, |
4760 | zSig0, zSig1, status); | |
158142c2 FB |
4761 | |
4762 | } | |
4763 | ||
8229c991 AJ |
4764 | /*---------------------------------------------------------------------------- |
4765 | | Returns the binary exponential of the single-precision floating-point value | |
4766 | | `a'. The operation is performed according to the IEC/IEEE Standard for | |
4767 | | Binary Floating-Point Arithmetic. | |
4768 | | | |
4769 | | Uses the following identities: | |
4770 | | | |
4771 | | 1. ------------------------------------------------------------------------- | |
4772 | | x x*ln(2) | |
4773 | | 2 = e | |
4774 | | | |
4775 | | 2. ------------------------------------------------------------------------- | |
4776 | | 2 3 4 5 n | |
4777 | | x x x x x x x | |
4778 | | e = 1 + --- + --- + --- + --- + --- + ... + --- + ... | |
4779 | | 1! 2! 3! 4! 5! n! | |
4780 | *----------------------------------------------------------------------------*/ | |
4781 | ||
4782 | static const float64 float32_exp2_coefficients[15] = | |
4783 | { | |
d5138cf4 PM |
4784 | const_float64( 0x3ff0000000000000ll ), /* 1 */ |
4785 | const_float64( 0x3fe0000000000000ll ), /* 2 */ | |
4786 | const_float64( 0x3fc5555555555555ll ), /* 3 */ | |
4787 | const_float64( 0x3fa5555555555555ll ), /* 4 */ | |
4788 | const_float64( 0x3f81111111111111ll ), /* 5 */ | |
4789 | const_float64( 0x3f56c16c16c16c17ll ), /* 6 */ | |
4790 | const_float64( 0x3f2a01a01a01a01all ), /* 7 */ | |
4791 | const_float64( 0x3efa01a01a01a01all ), /* 8 */ | |
4792 | const_float64( 0x3ec71de3a556c734ll ), /* 9 */ | |
4793 | const_float64( 0x3e927e4fb7789f5cll ), /* 10 */ | |
4794 | const_float64( 0x3e5ae64567f544e4ll ), /* 11 */ | |
4795 | const_float64( 0x3e21eed8eff8d898ll ), /* 12 */ | |
4796 | const_float64( 0x3de6124613a86d09ll ), /* 13 */ | |
4797 | const_float64( 0x3da93974a8c07c9dll ), /* 14 */ | |
4798 | const_float64( 0x3d6ae7f3e733b81fll ), /* 15 */ | |
8229c991 AJ |
4799 | }; |
4800 | ||
e5a41ffa | 4801 | float32 float32_exp2(float32 a, float_status *status) |
8229c991 | 4802 | { |
572c4d86 | 4803 | FloatParts64 xp, xnp, tp, rp; |
8229c991 | 4804 | int i; |
8229c991 | 4805 | |
572c4d86 RH |
4806 | float32_unpack_canonical(&xp, a, status); |
4807 | if (unlikely(xp.cls != float_class_normal)) { | |
4808 | switch (xp.cls) { | |
4809 | case float_class_snan: | |
4810 | case float_class_qnan: | |
4811 | parts_return_nan(&xp, status); | |
4812 | return float32_round_pack_canonical(&xp, status); | |
4813 | case float_class_inf: | |
4814 | return xp.sign ? float32_zero : a; | |
4815 | case float_class_zero: | |
4816 | return float32_one; | |
4817 | default: | |
4818 | break; | |
ff32e16e | 4819 | } |
572c4d86 | 4820 | g_assert_not_reached(); |
8229c991 AJ |
4821 | } |
4822 | ||
ff32e16e | 4823 | float_raise(float_flag_inexact, status); |
8229c991 | 4824 | |
f291f45f | 4825 | float64_unpack_canonical(&tp, float64_ln2, status); |
572c4d86 RH |
4826 | xp = *parts_mul(&xp, &tp, status); |
4827 | xnp = xp; | |
8229c991 | 4828 | |
572c4d86 | 4829 | float64_unpack_canonical(&rp, float64_one, status); |
8229c991 | 4830 | for (i = 0 ; i < 15 ; i++) { |
572c4d86 RH |
4831 | float64_unpack_canonical(&tp, float32_exp2_coefficients[i], status); |
4832 | rp = *parts_muladd(&tp, &xp, &rp, 0, status); | |
4833 | xnp = *parts_mul(&xnp, &xp, status); | |
8229c991 AJ |
4834 | } |
4835 | ||
572c4d86 | 4836 | return float32_round_pack_canonical(&rp, status); |
8229c991 AJ |
4837 | } |
4838 | ||
0f721292 LV |
4839 | /*---------------------------------------------------------------------------- |
4840 | | Rounds the extended double-precision floating-point value `a' | |
4841 | | to the precision provided by floatx80_rounding_precision and returns the | |
4842 | | result as an extended double-precision floating-point value. | |
4843 | | The operation is performed according to the IEC/IEEE Standard for Binary | |
4844 | | Floating-Point Arithmetic. | |
4845 | *----------------------------------------------------------------------------*/ | |
4846 | ||
4847 | floatx80 floatx80_round(floatx80 a, float_status *status) | |
4848 | { | |
45a76b71 RH |
4849 | FloatParts128 p; |
4850 | ||
4851 | if (!floatx80_unpack_canonical(&p, a, status)) { | |
4852 | return floatx80_default_nan(status); | |
4853 | } | |
4854 | return floatx80_round_pack_canonical(&p, status); | |
0f721292 LV |
4855 | } |
4856 | ||
f6b3b108 EC |
4857 | static void __attribute__((constructor)) softfloat_init(void) |
4858 | { | |
4859 | union_float64 ua, ub, uc, ur; | |
4860 | ||
4861 | if (QEMU_NO_HARDFLOAT) { | |
4862 | return; | |
4863 | } | |
4864 | /* | |
4865 | * Test that the host's FMA is not obviously broken. For example, | |
4866 | * glibc < 2.23 can perform an incorrect FMA on certain hosts; see | |
4867 | * https://sourceware.org/bugzilla/show_bug.cgi?id=13304 | |
4868 | */ | |
4869 | ua.s = 0x0020000000000001ULL; | |
4870 | ub.s = 0x3ca0000000000000ULL; | |
4871 | uc.s = 0x0020000000000000ULL; | |
4872 | ur.h = fma(ua.h, ub.h, uc.h); | |
4873 | if (ur.s != 0x0020000000000001ULL) { | |
4874 | force_soft_fma = true; | |
4875 | } | |
4876 | } |