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