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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, | |
0e903037 CMC |
439 | /* |
440 | * Set for the IEEE 754-2019 minimumNumber() and maximumNumber() | |
441 | * operations. | |
442 | */ | |
443 | minmax_isnumber = 8, | |
e1c4667a | 444 | }; |
134eda00 | 445 | |
247d1f21 RH |
446 | /* Simple helpers for checking if, or what kind of, NaN we have */ |
447 | static inline __attribute__((unused)) bool is_nan(FloatClass c) | |
448 | { | |
449 | return unlikely(c >= float_class_qnan); | |
450 | } | |
451 | ||
452 | static inline __attribute__((unused)) bool is_snan(FloatClass c) | |
453 | { | |
454 | return c == float_class_snan; | |
455 | } | |
456 | ||
457 | static inline __attribute__((unused)) bool is_qnan(FloatClass c) | |
458 | { | |
459 | return c == float_class_qnan; | |
460 | } | |
461 | ||
a90119b5 | 462 | /* |
0018b1f4 RH |
463 | * Structure holding all of the decomposed parts of a float. |
464 | * The exponent is unbiased and the fraction is normalized. | |
a90119b5 | 465 | * |
0018b1f4 RH |
466 | * The fraction words are stored in big-endian word ordering, |
467 | * so that truncation from a larger format to a smaller format | |
468 | * can be done simply by ignoring subsequent elements. | |
a90119b5 AB |
469 | */ |
470 | ||
471 | typedef struct { | |
a90119b5 AB |
472 | FloatClass cls; |
473 | bool sign; | |
4109b9ea RH |
474 | int32_t exp; |
475 | union { | |
476 | /* Routines that know the structure may reference the singular name. */ | |
477 | uint64_t frac; | |
478 | /* | |
479 | * Routines expanded with multiple structures reference "hi" and "lo" | |
480 | * depending on the operation. In FloatParts64, "hi" and "lo" are | |
481 | * both the same word and aliased here. | |
482 | */ | |
483 | uint64_t frac_hi; | |
484 | uint64_t frac_lo; | |
485 | }; | |
f8155c1d | 486 | } FloatParts64; |
a90119b5 | 487 | |
0018b1f4 RH |
488 | typedef struct { |
489 | FloatClass cls; | |
490 | bool sign; | |
491 | int32_t exp; | |
492 | uint64_t frac_hi; | |
493 | uint64_t frac_lo; | |
494 | } FloatParts128; | |
495 | ||
aca84527 RH |
496 | typedef struct { |
497 | FloatClass cls; | |
498 | bool sign; | |
499 | int32_t exp; | |
500 | uint64_t frac_hi; | |
501 | uint64_t frac_hm; /* high-middle */ | |
502 | uint64_t frac_lm; /* low-middle */ | |
503 | uint64_t frac_lo; | |
504 | } FloatParts256; | |
505 | ||
0018b1f4 | 506 | /* These apply to the most significant word of each FloatPartsN. */ |
e99c4373 | 507 | #define DECOMPOSED_BINARY_POINT 63 |
a90119b5 | 508 | #define DECOMPOSED_IMPLICIT_BIT (1ull << DECOMPOSED_BINARY_POINT) |
a90119b5 AB |
509 | |
510 | /* Structure holding all of the relevant parameters for a format. | |
511 | * exp_size: the size of the exponent field | |
512 | * exp_bias: the offset applied to the exponent field | |
513 | * exp_max: the maximum normalised exponent | |
514 | * frac_size: the size of the fraction field | |
515 | * frac_shift: shift to normalise the fraction with DECOMPOSED_BINARY_POINT | |
516 | * The following are computed based the size of fraction | |
d6e1f0cd | 517 | * round_mask: bits below lsb which must be rounded |
ca3a3d5a AB |
518 | * The following optional modifiers are available: |
519 | * arm_althp: handle ARM Alternative Half Precision | |
a90119b5 AB |
520 | */ |
521 | typedef struct { | |
522 | int exp_size; | |
523 | int exp_bias; | |
524 | int exp_max; | |
525 | int frac_size; | |
526 | int frac_shift; | |
ca3a3d5a | 527 | bool arm_althp; |
d6e1f0cd | 528 | uint64_t round_mask; |
a90119b5 AB |
529 | } FloatFmt; |
530 | ||
531 | /* Expand fields based on the size of exponent and fraction */ | |
c1b6299b | 532 | #define FLOAT_PARAMS_(E) \ |
d6e1f0cd RH |
533 | .exp_size = E, \ |
534 | .exp_bias = ((1 << E) - 1) >> 1, \ | |
c1b6299b | 535 | .exp_max = (1 << E) - 1 |
d6e1f0cd RH |
536 | |
537 | #define FLOAT_PARAMS(E, F) \ | |
c1b6299b RH |
538 | FLOAT_PARAMS_(E), \ |
539 | .frac_size = F, \ | |
d6e1f0cd RH |
540 | .frac_shift = (-F - 1) & 63, \ |
541 | .round_mask = (1ull << ((-F - 1) & 63)) - 1 | |
a90119b5 AB |
542 | |
543 | static const FloatFmt float16_params = { | |
544 | FLOAT_PARAMS(5, 10) | |
545 | }; | |
546 | ||
6fed16b2 AB |
547 | static const FloatFmt float16_params_ahp = { |
548 | FLOAT_PARAMS(5, 10), | |
549 | .arm_althp = true | |
550 | }; | |
551 | ||
8282310d LZ |
552 | static const FloatFmt bfloat16_params = { |
553 | FLOAT_PARAMS(8, 7) | |
554 | }; | |
555 | ||
a90119b5 AB |
556 | static const FloatFmt float32_params = { |
557 | FLOAT_PARAMS(8, 23) | |
558 | }; | |
559 | ||
560 | static const FloatFmt float64_params = { | |
561 | FLOAT_PARAMS(11, 52) | |
562 | }; | |
563 | ||
0018b1f4 RH |
564 | static const FloatFmt float128_params = { |
565 | FLOAT_PARAMS(15, 112) | |
566 | }; | |
567 | ||
c1b6299b RH |
568 | #define FLOATX80_PARAMS(R) \ |
569 | FLOAT_PARAMS_(15), \ | |
570 | .frac_size = R == 64 ? 63 : R, \ | |
571 | .frac_shift = 0, \ | |
572 | .round_mask = R == 64 ? -1 : (1ull << ((-R - 1) & 63)) - 1 | |
573 | ||
574 | static const FloatFmt floatx80_params[3] = { | |
575 | [floatx80_precision_s] = { FLOATX80_PARAMS(23) }, | |
576 | [floatx80_precision_d] = { FLOATX80_PARAMS(52) }, | |
577 | [floatx80_precision_x] = { FLOATX80_PARAMS(64) }, | |
578 | }; | |
579 | ||
6fff2167 | 580 | /* Unpack a float to parts, but do not canonicalize. */ |
d8fdd172 | 581 | static void unpack_raw64(FloatParts64 *r, const FloatFmt *fmt, uint64_t raw) |
6fff2167 | 582 | { |
d8fdd172 RH |
583 | const int f_size = fmt->frac_size; |
584 | const int e_size = fmt->exp_size; | |
6fff2167 | 585 | |
d8fdd172 | 586 | *r = (FloatParts64) { |
6fff2167 | 587 | .cls = float_class_unclassified, |
d8fdd172 RH |
588 | .sign = extract64(raw, f_size + e_size, 1), |
589 | .exp = extract64(raw, f_size, e_size), | |
590 | .frac = extract64(raw, 0, f_size) | |
6fff2167 AB |
591 | }; |
592 | } | |
593 | ||
3dddb203 | 594 | static inline void float16_unpack_raw(FloatParts64 *p, float16 f) |
6fff2167 | 595 | { |
3dddb203 | 596 | unpack_raw64(p, &float16_params, f); |
6fff2167 AB |
597 | } |
598 | ||
3dddb203 | 599 | static inline void bfloat16_unpack_raw(FloatParts64 *p, bfloat16 f) |
8282310d | 600 | { |
3dddb203 | 601 | unpack_raw64(p, &bfloat16_params, f); |
8282310d LZ |
602 | } |
603 | ||
3dddb203 | 604 | static inline void float32_unpack_raw(FloatParts64 *p, float32 f) |
6fff2167 | 605 | { |
3dddb203 | 606 | unpack_raw64(p, &float32_params, f); |
6fff2167 AB |
607 | } |
608 | ||
3dddb203 | 609 | static inline void float64_unpack_raw(FloatParts64 *p, float64 f) |
6fff2167 | 610 | { |
3dddb203 | 611 | unpack_raw64(p, &float64_params, f); |
6fff2167 AB |
612 | } |
613 | ||
c1b6299b RH |
614 | static void floatx80_unpack_raw(FloatParts128 *p, floatx80 f) |
615 | { | |
616 | *p = (FloatParts128) { | |
617 | .cls = float_class_unclassified, | |
618 | .sign = extract32(f.high, 15, 1), | |
619 | .exp = extract32(f.high, 0, 15), | |
620 | .frac_hi = f.low | |
621 | }; | |
622 | } | |
623 | ||
0018b1f4 RH |
624 | static void float128_unpack_raw(FloatParts128 *p, float128 f) |
625 | { | |
626 | const int f_size = float128_params.frac_size - 64; | |
627 | const int e_size = float128_params.exp_size; | |
628 | ||
629 | *p = (FloatParts128) { | |
630 | .cls = float_class_unclassified, | |
631 | .sign = extract64(f.high, f_size + e_size, 1), | |
632 | .exp = extract64(f.high, f_size, e_size), | |
633 | .frac_hi = extract64(f.high, 0, f_size), | |
634 | .frac_lo = f.low, | |
635 | }; | |
636 | } | |
637 | ||
6fff2167 | 638 | /* Pack a float from parts, but do not canonicalize. */ |
9e4af58c | 639 | static uint64_t pack_raw64(const FloatParts64 *p, const FloatFmt *fmt) |
6fff2167 | 640 | { |
9e4af58c RH |
641 | const int f_size = fmt->frac_size; |
642 | const int e_size = fmt->exp_size; | |
643 | uint64_t ret; | |
644 | ||
645 | ret = (uint64_t)p->sign << (f_size + e_size); | |
646 | ret = deposit64(ret, f_size, e_size, p->exp); | |
647 | ret = deposit64(ret, 0, f_size, p->frac); | |
648 | return ret; | |
6fff2167 AB |
649 | } |
650 | ||
71fd178e | 651 | static inline float16 float16_pack_raw(const FloatParts64 *p) |
6fff2167 | 652 | { |
71fd178e | 653 | return make_float16(pack_raw64(p, &float16_params)); |
6fff2167 AB |
654 | } |
655 | ||
71fd178e | 656 | static inline bfloat16 bfloat16_pack_raw(const FloatParts64 *p) |
8282310d | 657 | { |
71fd178e | 658 | return pack_raw64(p, &bfloat16_params); |
8282310d LZ |
659 | } |
660 | ||
71fd178e | 661 | static inline float32 float32_pack_raw(const FloatParts64 *p) |
6fff2167 | 662 | { |
71fd178e | 663 | return make_float32(pack_raw64(p, &float32_params)); |
6fff2167 AB |
664 | } |
665 | ||
71fd178e | 666 | static inline float64 float64_pack_raw(const FloatParts64 *p) |
6fff2167 | 667 | { |
71fd178e | 668 | return make_float64(pack_raw64(p, &float64_params)); |
6fff2167 AB |
669 | } |
670 | ||
0018b1f4 RH |
671 | static float128 float128_pack_raw(const FloatParts128 *p) |
672 | { | |
673 | const int f_size = float128_params.frac_size - 64; | |
674 | const int e_size = float128_params.exp_size; | |
675 | uint64_t hi; | |
676 | ||
677 | hi = (uint64_t)p->sign << (f_size + e_size); | |
678 | hi = deposit64(hi, f_size, e_size, p->exp); | |
679 | hi = deposit64(hi, 0, f_size, p->frac_hi); | |
680 | return make_float128(hi, p->frac_lo); | |
681 | } | |
682 | ||
0664335a RH |
683 | /*---------------------------------------------------------------------------- |
684 | | Functions and definitions to determine: (1) whether tininess for underflow | |
685 | | is detected before or after rounding by default, (2) what (if anything) | |
686 | | happens when exceptions are raised, (3) how signaling NaNs are distinguished | |
687 | | from quiet NaNs, (4) the default generated quiet NaNs, and (5) how NaNs | |
688 | | are propagated from function inputs to output. These details are target- | |
689 | | specific. | |
690 | *----------------------------------------------------------------------------*/ | |
139c1837 | 691 | #include "softfloat-specialize.c.inc" |
0664335a | 692 | |
0018b1f4 | 693 | #define PARTS_GENERIC_64_128(NAME, P) \ |
6c06aca0 RH |
694 | _Generic((P), FloatParts64 *: parts64_##NAME, \ |
695 | FloatParts128 *: parts128_##NAME) | |
0018b1f4 | 696 | |
dedd123c | 697 | #define PARTS_GENERIC_64_128_256(NAME, P) \ |
6c06aca0 RH |
698 | _Generic((P), FloatParts64 *: parts64_##NAME, \ |
699 | FloatParts128 *: parts128_##NAME, \ | |
700 | FloatParts256 *: parts256_##NAME) | |
dedd123c | 701 | |
e9034ea8 | 702 | #define parts_default_nan(P, S) PARTS_GENERIC_64_128(default_nan, P)(P, S) |
0018b1f4 RH |
703 | #define parts_silence_nan(P, S) PARTS_GENERIC_64_128(silence_nan, P)(P, S) |
704 | ||
7c45bad8 RH |
705 | static void parts64_return_nan(FloatParts64 *a, float_status *s); |
706 | static void parts128_return_nan(FloatParts128 *a, float_status *s); | |
707 | ||
708 | #define parts_return_nan(P, S) PARTS_GENERIC_64_128(return_nan, P)(P, S) | |
0018b1f4 | 709 | |
22c355f4 RH |
710 | static FloatParts64 *parts64_pick_nan(FloatParts64 *a, FloatParts64 *b, |
711 | float_status *s); | |
712 | static FloatParts128 *parts128_pick_nan(FloatParts128 *a, FloatParts128 *b, | |
713 | float_status *s); | |
714 | ||
715 | #define parts_pick_nan(A, B, S) PARTS_GENERIC_64_128(pick_nan, A)(A, B, S) | |
716 | ||
979582d0 RH |
717 | static FloatParts64 *parts64_pick_nan_muladd(FloatParts64 *a, FloatParts64 *b, |
718 | FloatParts64 *c, float_status *s, | |
719 | int ab_mask, int abc_mask); | |
720 | static FloatParts128 *parts128_pick_nan_muladd(FloatParts128 *a, | |
721 | FloatParts128 *b, | |
722 | FloatParts128 *c, | |
723 | float_status *s, | |
724 | int ab_mask, int abc_mask); | |
725 | ||
726 | #define parts_pick_nan_muladd(A, B, C, S, ABM, ABCM) \ | |
727 | PARTS_GENERIC_64_128(pick_nan_muladd, A)(A, B, C, S, ABM, ABCM) | |
728 | ||
d46975bc RH |
729 | static void parts64_canonicalize(FloatParts64 *p, float_status *status, |
730 | const FloatFmt *fmt); | |
731 | static void parts128_canonicalize(FloatParts128 *p, float_status *status, | |
732 | const FloatFmt *fmt); | |
733 | ||
734 | #define parts_canonicalize(A, S, F) \ | |
735 | PARTS_GENERIC_64_128(canonicalize, A)(A, S, F) | |
736 | ||
25fdedf0 RH |
737 | static void parts64_uncanon_normal(FloatParts64 *p, float_status *status, |
738 | const FloatFmt *fmt); | |
739 | static void parts128_uncanon_normal(FloatParts128 *p, float_status *status, | |
740 | const FloatFmt *fmt); | |
741 | ||
742 | #define parts_uncanon_normal(A, S, F) \ | |
743 | PARTS_GENERIC_64_128(uncanon_normal, A)(A, S, F) | |
744 | ||
ee6959f2 RH |
745 | static void parts64_uncanon(FloatParts64 *p, float_status *status, |
746 | const FloatFmt *fmt); | |
747 | static void parts128_uncanon(FloatParts128 *p, float_status *status, | |
748 | const FloatFmt *fmt); | |
749 | ||
750 | #define parts_uncanon(A, S, F) \ | |
751 | PARTS_GENERIC_64_128(uncanon, A)(A, S, F) | |
752 | ||
da10a907 RH |
753 | static void parts64_add_normal(FloatParts64 *a, FloatParts64 *b); |
754 | static void parts128_add_normal(FloatParts128 *a, FloatParts128 *b); | |
dedd123c | 755 | static void parts256_add_normal(FloatParts256 *a, FloatParts256 *b); |
da10a907 RH |
756 | |
757 | #define parts_add_normal(A, B) \ | |
dedd123c | 758 | PARTS_GENERIC_64_128_256(add_normal, A)(A, B) |
da10a907 RH |
759 | |
760 | static bool parts64_sub_normal(FloatParts64 *a, FloatParts64 *b); | |
761 | static bool parts128_sub_normal(FloatParts128 *a, FloatParts128 *b); | |
dedd123c | 762 | static bool parts256_sub_normal(FloatParts256 *a, FloatParts256 *b); |
da10a907 RH |
763 | |
764 | #define parts_sub_normal(A, B) \ | |
dedd123c | 765 | PARTS_GENERIC_64_128_256(sub_normal, A)(A, B) |
da10a907 RH |
766 | |
767 | static FloatParts64 *parts64_addsub(FloatParts64 *a, FloatParts64 *b, | |
768 | float_status *s, bool subtract); | |
769 | static FloatParts128 *parts128_addsub(FloatParts128 *a, FloatParts128 *b, | |
770 | float_status *s, bool subtract); | |
771 | ||
772 | #define parts_addsub(A, B, S, Z) \ | |
773 | PARTS_GENERIC_64_128(addsub, A)(A, B, S, Z) | |
774 | ||
aca84527 RH |
775 | static FloatParts64 *parts64_mul(FloatParts64 *a, FloatParts64 *b, |
776 | float_status *s); | |
777 | static FloatParts128 *parts128_mul(FloatParts128 *a, FloatParts128 *b, | |
778 | float_status *s); | |
779 | ||
780 | #define parts_mul(A, B, S) \ | |
781 | PARTS_GENERIC_64_128(mul, A)(A, B, S) | |
782 | ||
dedd123c RH |
783 | static FloatParts64 *parts64_muladd(FloatParts64 *a, FloatParts64 *b, |
784 | FloatParts64 *c, int flags, | |
785 | float_status *s); | |
786 | static FloatParts128 *parts128_muladd(FloatParts128 *a, FloatParts128 *b, | |
787 | FloatParts128 *c, int flags, | |
788 | float_status *s); | |
789 | ||
790 | #define parts_muladd(A, B, C, Z, S) \ | |
791 | PARTS_GENERIC_64_128(muladd, A)(A, B, C, Z, S) | |
792 | ||
ec961b81 RH |
793 | static FloatParts64 *parts64_div(FloatParts64 *a, FloatParts64 *b, |
794 | float_status *s); | |
795 | static FloatParts128 *parts128_div(FloatParts128 *a, FloatParts128 *b, | |
796 | float_status *s); | |
797 | ||
798 | #define parts_div(A, B, S) \ | |
799 | PARTS_GENERIC_64_128(div, A)(A, B, S) | |
800 | ||
feaf2e9c RH |
801 | static FloatParts64 *parts64_modrem(FloatParts64 *a, FloatParts64 *b, |
802 | uint64_t *mod_quot, float_status *s); | |
803 | static FloatParts128 *parts128_modrem(FloatParts128 *a, FloatParts128 *b, | |
804 | uint64_t *mod_quot, float_status *s); | |
805 | ||
806 | #define parts_modrem(A, B, Q, S) \ | |
807 | PARTS_GENERIC_64_128(modrem, A)(A, B, Q, S) | |
808 | ||
9261b245 RH |
809 | static void parts64_sqrt(FloatParts64 *a, float_status *s, const FloatFmt *f); |
810 | static void parts128_sqrt(FloatParts128 *a, float_status *s, const FloatFmt *f); | |
811 | ||
812 | #define parts_sqrt(A, S, F) \ | |
813 | PARTS_GENERIC_64_128(sqrt, A)(A, S, F) | |
814 | ||
afc34931 RH |
815 | static bool parts64_round_to_int_normal(FloatParts64 *a, FloatRoundMode rm, |
816 | int scale, int frac_size); | |
817 | static bool parts128_round_to_int_normal(FloatParts128 *a, FloatRoundMode r, | |
818 | int scale, int frac_size); | |
819 | ||
820 | #define parts_round_to_int_normal(A, R, C, F) \ | |
821 | PARTS_GENERIC_64_128(round_to_int_normal, A)(A, R, C, F) | |
822 | ||
823 | static void parts64_round_to_int(FloatParts64 *a, FloatRoundMode rm, | |
824 | int scale, float_status *s, | |
825 | const FloatFmt *fmt); | |
826 | static void parts128_round_to_int(FloatParts128 *a, FloatRoundMode r, | |
827 | int scale, float_status *s, | |
828 | const FloatFmt *fmt); | |
829 | ||
830 | #define parts_round_to_int(A, R, C, S, F) \ | |
831 | PARTS_GENERIC_64_128(round_to_int, A)(A, R, C, S, F) | |
832 | ||
463b3f0d RH |
833 | static int64_t parts64_float_to_sint(FloatParts64 *p, FloatRoundMode rmode, |
834 | int scale, int64_t min, int64_t max, | |
835 | float_status *s); | |
836 | static int64_t parts128_float_to_sint(FloatParts128 *p, FloatRoundMode rmode, | |
837 | int scale, int64_t min, int64_t max, | |
838 | float_status *s); | |
839 | ||
840 | #define parts_float_to_sint(P, R, Z, MN, MX, S) \ | |
841 | PARTS_GENERIC_64_128(float_to_sint, P)(P, R, Z, MN, MX, S) | |
842 | ||
4ab4aef0 RH |
843 | static uint64_t parts64_float_to_uint(FloatParts64 *p, FloatRoundMode rmode, |
844 | int scale, uint64_t max, | |
845 | float_status *s); | |
846 | static uint64_t parts128_float_to_uint(FloatParts128 *p, FloatRoundMode rmode, | |
847 | int scale, uint64_t max, | |
848 | float_status *s); | |
849 | ||
850 | #define parts_float_to_uint(P, R, Z, M, S) \ | |
851 | PARTS_GENERIC_64_128(float_to_uint, P)(P, R, Z, M, S) | |
852 | ||
e3689519 RH |
853 | static void parts64_sint_to_float(FloatParts64 *p, int64_t a, |
854 | int scale, float_status *s); | |
855 | static void parts128_sint_to_float(FloatParts128 *p, int64_t a, | |
856 | int scale, float_status *s); | |
857 | ||
858 | #define parts_sint_to_float(P, I, Z, S) \ | |
859 | PARTS_GENERIC_64_128(sint_to_float, P)(P, I, Z, S) | |
860 | ||
37c954a1 RH |
861 | static void parts64_uint_to_float(FloatParts64 *p, uint64_t a, |
862 | int scale, float_status *s); | |
863 | static void parts128_uint_to_float(FloatParts128 *p, uint64_t a, | |
864 | int scale, float_status *s); | |
865 | ||
866 | #define parts_uint_to_float(P, I, Z, S) \ | |
867 | PARTS_GENERIC_64_128(uint_to_float, P)(P, I, Z, S) | |
868 | ||
e1c4667a RH |
869 | static FloatParts64 *parts64_minmax(FloatParts64 *a, FloatParts64 *b, |
870 | float_status *s, int flags); | |
871 | static FloatParts128 *parts128_minmax(FloatParts128 *a, FloatParts128 *b, | |
872 | float_status *s, int flags); | |
873 | ||
874 | #define parts_minmax(A, B, S, F) \ | |
875 | PARTS_GENERIC_64_128(minmax, A)(A, B, S, F) | |
876 | ||
6eb169b8 RH |
877 | static int parts64_compare(FloatParts64 *a, FloatParts64 *b, |
878 | float_status *s, bool q); | |
879 | static int parts128_compare(FloatParts128 *a, FloatParts128 *b, | |
880 | float_status *s, bool q); | |
881 | ||
882 | #define parts_compare(A, B, S, Q) \ | |
883 | PARTS_GENERIC_64_128(compare, A)(A, B, S, Q) | |
884 | ||
39626b0c RH |
885 | static void parts64_scalbn(FloatParts64 *a, int n, float_status *s); |
886 | static void parts128_scalbn(FloatParts128 *a, int n, float_status *s); | |
887 | ||
888 | #define parts_scalbn(A, N, S) \ | |
889 | PARTS_GENERIC_64_128(scalbn, A)(A, N, S) | |
890 | ||
2fa3546c RH |
891 | static void parts64_log2(FloatParts64 *a, float_status *s, const FloatFmt *f); |
892 | static void parts128_log2(FloatParts128 *a, float_status *s, const FloatFmt *f); | |
893 | ||
894 | #define parts_log2(A, S, F) \ | |
895 | PARTS_GENERIC_64_128(log2, A)(A, S, F) | |
896 | ||
0018b1f4 RH |
897 | /* |
898 | * Helper functions for softfloat-parts.c.inc, per-size operations. | |
899 | */ | |
900 | ||
22c355f4 | 901 | #define FRAC_GENERIC_64_128(NAME, P) \ |
6c06aca0 RH |
902 | _Generic((P), FloatParts64 *: frac64_##NAME, \ |
903 | FloatParts128 *: frac128_##NAME) | |
22c355f4 | 904 | |
dedd123c | 905 | #define FRAC_GENERIC_64_128_256(NAME, P) \ |
6c06aca0 RH |
906 | _Generic((P), FloatParts64 *: frac64_##NAME, \ |
907 | FloatParts128 *: frac128_##NAME, \ | |
908 | FloatParts256 *: frac256_##NAME) | |
dedd123c | 909 | |
da10a907 RH |
910 | static bool frac64_add(FloatParts64 *r, FloatParts64 *a, FloatParts64 *b) |
911 | { | |
912 | return uadd64_overflow(a->frac, b->frac, &r->frac); | |
913 | } | |
914 | ||
915 | static bool frac128_add(FloatParts128 *r, FloatParts128 *a, FloatParts128 *b) | |
916 | { | |
917 | bool c = 0; | |
918 | r->frac_lo = uadd64_carry(a->frac_lo, b->frac_lo, &c); | |
919 | r->frac_hi = uadd64_carry(a->frac_hi, b->frac_hi, &c); | |
920 | return c; | |
921 | } | |
922 | ||
dedd123c RH |
923 | static bool frac256_add(FloatParts256 *r, FloatParts256 *a, FloatParts256 *b) |
924 | { | |
925 | bool c = 0; | |
926 | r->frac_lo = uadd64_carry(a->frac_lo, b->frac_lo, &c); | |
927 | r->frac_lm = uadd64_carry(a->frac_lm, b->frac_lm, &c); | |
928 | r->frac_hm = uadd64_carry(a->frac_hm, b->frac_hm, &c); | |
929 | r->frac_hi = uadd64_carry(a->frac_hi, b->frac_hi, &c); | |
930 | return c; | |
931 | } | |
932 | ||
933 | #define frac_add(R, A, B) FRAC_GENERIC_64_128_256(add, R)(R, A, B) | |
da10a907 | 934 | |
ee6959f2 RH |
935 | static bool frac64_addi(FloatParts64 *r, FloatParts64 *a, uint64_t c) |
936 | { | |
937 | return uadd64_overflow(a->frac, c, &r->frac); | |
938 | } | |
939 | ||
940 | static bool frac128_addi(FloatParts128 *r, FloatParts128 *a, uint64_t c) | |
941 | { | |
942 | c = uadd64_overflow(a->frac_lo, c, &r->frac_lo); | |
943 | return uadd64_overflow(a->frac_hi, c, &r->frac_hi); | |
944 | } | |
945 | ||
946 | #define frac_addi(R, A, C) FRAC_GENERIC_64_128(addi, R)(R, A, C) | |
947 | ||
948 | static void frac64_allones(FloatParts64 *a) | |
949 | { | |
950 | a->frac = -1; | |
951 | } | |
952 | ||
953 | static void frac128_allones(FloatParts128 *a) | |
954 | { | |
955 | a->frac_hi = a->frac_lo = -1; | |
956 | } | |
957 | ||
958 | #define frac_allones(A) FRAC_GENERIC_64_128(allones, A)(A) | |
959 | ||
22c355f4 RH |
960 | static int frac64_cmp(FloatParts64 *a, FloatParts64 *b) |
961 | { | |
962 | return a->frac == b->frac ? 0 : a->frac < b->frac ? -1 : 1; | |
963 | } | |
964 | ||
965 | static int frac128_cmp(FloatParts128 *a, FloatParts128 *b) | |
966 | { | |
967 | uint64_t ta = a->frac_hi, tb = b->frac_hi; | |
968 | if (ta == tb) { | |
969 | ta = a->frac_lo, tb = b->frac_lo; | |
970 | if (ta == tb) { | |
971 | return 0; | |
972 | } | |
973 | } | |
974 | return ta < tb ? -1 : 1; | |
975 | } | |
976 | ||
977 | #define frac_cmp(A, B) FRAC_GENERIC_64_128(cmp, A)(A, B) | |
978 | ||
d46975bc | 979 | static void frac64_clear(FloatParts64 *a) |
0018b1f4 | 980 | { |
d46975bc RH |
981 | a->frac = 0; |
982 | } | |
983 | ||
984 | static void frac128_clear(FloatParts128 *a) | |
985 | { | |
986 | a->frac_hi = a->frac_lo = 0; | |
0018b1f4 RH |
987 | } |
988 | ||
d46975bc | 989 | #define frac_clear(A) FRAC_GENERIC_64_128(clear, A)(A) |
0018b1f4 | 990 | |
ec961b81 RH |
991 | static bool frac64_div(FloatParts64 *a, FloatParts64 *b) |
992 | { | |
993 | uint64_t n1, n0, r, q; | |
994 | bool ret; | |
995 | ||
996 | /* | |
997 | * We want a 2*N / N-bit division to produce exactly an N-bit | |
998 | * result, so that we do not lose any precision and so that we | |
999 | * do not have to renormalize afterward. If A.frac < B.frac, | |
1000 | * then division would produce an (N-1)-bit result; shift A left | |
1001 | * by one to produce the an N-bit result, and return true to | |
1002 | * decrement the exponent to match. | |
1003 | * | |
1004 | * The udiv_qrnnd algorithm that we're using requires normalization, | |
1005 | * i.e. the msb of the denominator must be set, which is already true. | |
1006 | */ | |
1007 | ret = a->frac < b->frac; | |
1008 | if (ret) { | |
1009 | n0 = a->frac; | |
1010 | n1 = 0; | |
1011 | } else { | |
1012 | n0 = a->frac >> 1; | |
1013 | n1 = a->frac << 63; | |
1014 | } | |
1015 | q = udiv_qrnnd(&r, n0, n1, b->frac); | |
1016 | ||
1017 | /* Set lsb if there is a remainder, to set inexact. */ | |
1018 | a->frac = q | (r != 0); | |
1019 | ||
1020 | return ret; | |
1021 | } | |
1022 | ||
1023 | static bool frac128_div(FloatParts128 *a, FloatParts128 *b) | |
1024 | { | |
1025 | uint64_t q0, q1, a0, a1, b0, b1; | |
1026 | uint64_t r0, r1, r2, r3, t0, t1, t2, t3; | |
1027 | bool ret = false; | |
1028 | ||
1029 | a0 = a->frac_hi, a1 = a->frac_lo; | |
1030 | b0 = b->frac_hi, b1 = b->frac_lo; | |
1031 | ||
1032 | ret = lt128(a0, a1, b0, b1); | |
1033 | if (!ret) { | |
1034 | a1 = shr_double(a0, a1, 1); | |
1035 | a0 = a0 >> 1; | |
1036 | } | |
1037 | ||
1038 | /* Use 128/64 -> 64 division as estimate for 192/128 -> 128 division. */ | |
1039 | q0 = estimateDiv128To64(a0, a1, b0); | |
1040 | ||
1041 | /* | |
1042 | * Estimate is high because B1 was not included (unless B1 == 0). | |
1043 | * Reduce quotient and increase remainder until remainder is non-negative. | |
1044 | * This loop will execute 0 to 2 times. | |
1045 | */ | |
1046 | mul128By64To192(b0, b1, q0, &t0, &t1, &t2); | |
1047 | sub192(a0, a1, 0, t0, t1, t2, &r0, &r1, &r2); | |
1048 | while (r0 != 0) { | |
1049 | q0--; | |
1050 | add192(r0, r1, r2, 0, b0, b1, &r0, &r1, &r2); | |
1051 | } | |
1052 | ||
1053 | /* Repeat using the remainder, producing a second word of quotient. */ | |
1054 | q1 = estimateDiv128To64(r1, r2, b0); | |
1055 | mul128By64To192(b0, b1, q1, &t1, &t2, &t3); | |
1056 | sub192(r1, r2, 0, t1, t2, t3, &r1, &r2, &r3); | |
1057 | while (r1 != 0) { | |
1058 | q1--; | |
1059 | add192(r1, r2, r3, 0, b0, b1, &r1, &r2, &r3); | |
1060 | } | |
1061 | ||
1062 | /* Any remainder indicates inexact; set sticky bit. */ | |
1063 | q1 |= (r2 | r3) != 0; | |
1064 | ||
1065 | a->frac_hi = q0; | |
1066 | a->frac_lo = q1; | |
1067 | return ret; | |
1068 | } | |
1069 | ||
1070 | #define frac_div(A, B) FRAC_GENERIC_64_128(div, A)(A, B) | |
1071 | ||
d46975bc | 1072 | static bool frac64_eqz(FloatParts64 *a) |
0018b1f4 | 1073 | { |
d46975bc RH |
1074 | return a->frac == 0; |
1075 | } | |
1076 | ||
1077 | static bool frac128_eqz(FloatParts128 *a) | |
1078 | { | |
1079 | return (a->frac_hi | a->frac_lo) == 0; | |
0018b1f4 RH |
1080 | } |
1081 | ||
d46975bc | 1082 | #define frac_eqz(A) FRAC_GENERIC_64_128(eqz, A)(A) |
0fc07cad | 1083 | |
aca84527 RH |
1084 | static void frac64_mulw(FloatParts128 *r, FloatParts64 *a, FloatParts64 *b) |
1085 | { | |
1086 | mulu64(&r->frac_lo, &r->frac_hi, a->frac, b->frac); | |
1087 | } | |
1088 | ||
1089 | static void frac128_mulw(FloatParts256 *r, FloatParts128 *a, FloatParts128 *b) | |
1090 | { | |
1091 | mul128To256(a->frac_hi, a->frac_lo, b->frac_hi, b->frac_lo, | |
1092 | &r->frac_hi, &r->frac_hm, &r->frac_lm, &r->frac_lo); | |
1093 | } | |
1094 | ||
1095 | #define frac_mulw(R, A, B) FRAC_GENERIC_64_128(mulw, A)(R, A, B) | |
1096 | ||
da10a907 RH |
1097 | static void frac64_neg(FloatParts64 *a) |
1098 | { | |
1099 | a->frac = -a->frac; | |
1100 | } | |
1101 | ||
1102 | static void frac128_neg(FloatParts128 *a) | |
1103 | { | |
1104 | bool c = 0; | |
1105 | a->frac_lo = usub64_borrow(0, a->frac_lo, &c); | |
1106 | a->frac_hi = usub64_borrow(0, a->frac_hi, &c); | |
1107 | } | |
1108 | ||
dedd123c RH |
1109 | static void frac256_neg(FloatParts256 *a) |
1110 | { | |
1111 | bool c = 0; | |
1112 | a->frac_lo = usub64_borrow(0, a->frac_lo, &c); | |
1113 | a->frac_lm = usub64_borrow(0, a->frac_lm, &c); | |
1114 | a->frac_hm = usub64_borrow(0, a->frac_hm, &c); | |
1115 | a->frac_hi = usub64_borrow(0, a->frac_hi, &c); | |
1116 | } | |
1117 | ||
1118 | #define frac_neg(A) FRAC_GENERIC_64_128_256(neg, A)(A) | |
da10a907 | 1119 | |
d46975bc | 1120 | static int frac64_normalize(FloatParts64 *a) |
6fff2167 | 1121 | { |
d46975bc RH |
1122 | if (a->frac) { |
1123 | int shift = clz64(a->frac); | |
1124 | a->frac <<= shift; | |
1125 | return shift; | |
1126 | } | |
1127 | return 64; | |
1128 | } | |
1129 | ||
1130 | static int frac128_normalize(FloatParts128 *a) | |
1131 | { | |
1132 | if (a->frac_hi) { | |
1133 | int shl = clz64(a->frac_hi); | |
463e45dc RH |
1134 | a->frac_hi = shl_double(a->frac_hi, a->frac_lo, shl); |
1135 | a->frac_lo <<= shl; | |
d46975bc RH |
1136 | return shl; |
1137 | } else if (a->frac_lo) { | |
1138 | int shl = clz64(a->frac_lo); | |
463e45dc | 1139 | a->frac_hi = a->frac_lo << shl; |
d46975bc RH |
1140 | a->frac_lo = 0; |
1141 | return shl + 64; | |
6fff2167 | 1142 | } |
d46975bc | 1143 | return 128; |
6fff2167 AB |
1144 | } |
1145 | ||
dedd123c RH |
1146 | static int frac256_normalize(FloatParts256 *a) |
1147 | { | |
1148 | uint64_t a0 = a->frac_hi, a1 = a->frac_hm; | |
1149 | uint64_t a2 = a->frac_lm, a3 = a->frac_lo; | |
463e45dc | 1150 | int ret, shl; |
dedd123c RH |
1151 | |
1152 | if (likely(a0)) { | |
1153 | shl = clz64(a0); | |
1154 | if (shl == 0) { | |
1155 | return 0; | |
1156 | } | |
1157 | ret = shl; | |
1158 | } else { | |
1159 | if (a1) { | |
1160 | ret = 64; | |
1161 | a0 = a1, a1 = a2, a2 = a3, a3 = 0; | |
1162 | } else if (a2) { | |
1163 | ret = 128; | |
1164 | a0 = a2, a1 = a3, a2 = 0, a3 = 0; | |
1165 | } else if (a3) { | |
1166 | ret = 192; | |
1167 | a0 = a3, a1 = 0, a2 = 0, a3 = 0; | |
1168 | } else { | |
1169 | ret = 256; | |
1170 | a0 = 0, a1 = 0, a2 = 0, a3 = 0; | |
1171 | goto done; | |
1172 | } | |
1173 | shl = clz64(a0); | |
1174 | if (shl == 0) { | |
1175 | goto done; | |
1176 | } | |
1177 | ret += shl; | |
1178 | } | |
1179 | ||
463e45dc RH |
1180 | a0 = shl_double(a0, a1, shl); |
1181 | a1 = shl_double(a1, a2, shl); | |
1182 | a2 = shl_double(a2, a3, shl); | |
1183 | a3 <<= shl; | |
dedd123c RH |
1184 | |
1185 | done: | |
1186 | a->frac_hi = a0; | |
1187 | a->frac_hm = a1; | |
1188 | a->frac_lm = a2; | |
1189 | a->frac_lo = a3; | |
1190 | return ret; | |
1191 | } | |
1192 | ||
1193 | #define frac_normalize(A) FRAC_GENERIC_64_128_256(normalize, A)(A) | |
d46975bc | 1194 | |
feaf2e9c RH |
1195 | static void frac64_modrem(FloatParts64 *a, FloatParts64 *b, uint64_t *mod_quot) |
1196 | { | |
1197 | uint64_t a0, a1, b0, t0, t1, q, quot; | |
1198 | int exp_diff = a->exp - b->exp; | |
1199 | int shift; | |
1200 | ||
1201 | a0 = a->frac; | |
1202 | a1 = 0; | |
1203 | ||
1204 | if (exp_diff < -1) { | |
1205 | if (mod_quot) { | |
1206 | *mod_quot = 0; | |
1207 | } | |
1208 | return; | |
1209 | } | |
1210 | if (exp_diff == -1) { | |
1211 | a0 >>= 1; | |
1212 | exp_diff = 0; | |
1213 | } | |
1214 | ||
1215 | b0 = b->frac; | |
1216 | quot = q = b0 <= a0; | |
1217 | if (q) { | |
1218 | a0 -= b0; | |
1219 | } | |
1220 | ||
1221 | exp_diff -= 64; | |
1222 | while (exp_diff > 0) { | |
1223 | q = estimateDiv128To64(a0, a1, b0); | |
1224 | q = q > 2 ? q - 2 : 0; | |
1225 | mul64To128(b0, q, &t0, &t1); | |
1226 | sub128(a0, a1, t0, t1, &a0, &a1); | |
1227 | shortShift128Left(a0, a1, 62, &a0, &a1); | |
1228 | exp_diff -= 62; | |
1229 | quot = (quot << 62) + q; | |
1230 | } | |
1231 | ||
1232 | exp_diff += 64; | |
1233 | if (exp_diff > 0) { | |
1234 | q = estimateDiv128To64(a0, a1, b0); | |
1235 | q = q > 2 ? (q - 2) >> (64 - exp_diff) : 0; | |
1236 | mul64To128(b0, q << (64 - exp_diff), &t0, &t1); | |
1237 | sub128(a0, a1, t0, t1, &a0, &a1); | |
1238 | shortShift128Left(0, b0, 64 - exp_diff, &t0, &t1); | |
1239 | while (le128(t0, t1, a0, a1)) { | |
1240 | ++q; | |
1241 | sub128(a0, a1, t0, t1, &a0, &a1); | |
1242 | } | |
1243 | quot = (exp_diff < 64 ? quot << exp_diff : 0) + q; | |
1244 | } else { | |
1245 | t0 = b0; | |
1246 | t1 = 0; | |
1247 | } | |
1248 | ||
1249 | if (mod_quot) { | |
1250 | *mod_quot = quot; | |
1251 | } else { | |
1252 | sub128(t0, t1, a0, a1, &t0, &t1); | |
1253 | if (lt128(t0, t1, a0, a1) || | |
1254 | (eq128(t0, t1, a0, a1) && (q & 1))) { | |
1255 | a0 = t0; | |
1256 | a1 = t1; | |
1257 | a->sign = !a->sign; | |
1258 | } | |
1259 | } | |
1260 | ||
1261 | if (likely(a0)) { | |
1262 | shift = clz64(a0); | |
1263 | shortShift128Left(a0, a1, shift, &a0, &a1); | |
1264 | } else if (likely(a1)) { | |
1265 | shift = clz64(a1); | |
1266 | a0 = a1 << shift; | |
1267 | a1 = 0; | |
1268 | shift += 64; | |
1269 | } else { | |
1270 | a->cls = float_class_zero; | |
1271 | return; | |
1272 | } | |
1273 | ||
1274 | a->exp = b->exp + exp_diff - shift; | |
1275 | a->frac = a0 | (a1 != 0); | |
1276 | } | |
1277 | ||
1278 | static void frac128_modrem(FloatParts128 *a, FloatParts128 *b, | |
1279 | uint64_t *mod_quot) | |
1280 | { | |
1281 | uint64_t a0, a1, a2, b0, b1, t0, t1, t2, q, quot; | |
1282 | int exp_diff = a->exp - b->exp; | |
1283 | int shift; | |
1284 | ||
1285 | a0 = a->frac_hi; | |
1286 | a1 = a->frac_lo; | |
1287 | a2 = 0; | |
1288 | ||
1289 | if (exp_diff < -1) { | |
1290 | if (mod_quot) { | |
1291 | *mod_quot = 0; | |
1292 | } | |
1293 | return; | |
1294 | } | |
1295 | if (exp_diff == -1) { | |
1296 | shift128Right(a0, a1, 1, &a0, &a1); | |
1297 | exp_diff = 0; | |
1298 | } | |
1299 | ||
1300 | b0 = b->frac_hi; | |
1301 | b1 = b->frac_lo; | |
1302 | ||
1303 | quot = q = le128(b0, b1, a0, a1); | |
1304 | if (q) { | |
1305 | sub128(a0, a1, b0, b1, &a0, &a1); | |
1306 | } | |
1307 | ||
1308 | exp_diff -= 64; | |
1309 | while (exp_diff > 0) { | |
1310 | q = estimateDiv128To64(a0, a1, b0); | |
1311 | q = q > 4 ? q - 4 : 0; | |
1312 | mul128By64To192(b0, b1, q, &t0, &t1, &t2); | |
1313 | sub192(a0, a1, a2, t0, t1, t2, &a0, &a1, &a2); | |
1314 | shortShift192Left(a0, a1, a2, 61, &a0, &a1, &a2); | |
1315 | exp_diff -= 61; | |
1316 | quot = (quot << 61) + q; | |
1317 | } | |
1318 | ||
1319 | exp_diff += 64; | |
1320 | if (exp_diff > 0) { | |
1321 | q = estimateDiv128To64(a0, a1, b0); | |
1322 | q = q > 4 ? (q - 4) >> (64 - exp_diff) : 0; | |
1323 | mul128By64To192(b0, b1, q << (64 - exp_diff), &t0, &t1, &t2); | |
1324 | sub192(a0, a1, a2, t0, t1, t2, &a0, &a1, &a2); | |
1325 | shortShift192Left(0, b0, b1, 64 - exp_diff, &t0, &t1, &t2); | |
1326 | while (le192(t0, t1, t2, a0, a1, a2)) { | |
1327 | ++q; | |
1328 | sub192(a0, a1, a2, t0, t1, t2, &a0, &a1, &a2); | |
1329 | } | |
1330 | quot = (exp_diff < 64 ? quot << exp_diff : 0) + q; | |
1331 | } else { | |
1332 | t0 = b0; | |
1333 | t1 = b1; | |
1334 | t2 = 0; | |
1335 | } | |
1336 | ||
1337 | if (mod_quot) { | |
1338 | *mod_quot = quot; | |
1339 | } else { | |
1340 | sub192(t0, t1, t2, a0, a1, a2, &t0, &t1, &t2); | |
1341 | if (lt192(t0, t1, t2, a0, a1, a2) || | |
1342 | (eq192(t0, t1, t2, a0, a1, a2) && (q & 1))) { | |
1343 | a0 = t0; | |
1344 | a1 = t1; | |
1345 | a2 = t2; | |
1346 | a->sign = !a->sign; | |
1347 | } | |
1348 | } | |
1349 | ||
1350 | if (likely(a0)) { | |
1351 | shift = clz64(a0); | |
1352 | shortShift192Left(a0, a1, a2, shift, &a0, &a1, &a2); | |
1353 | } else if (likely(a1)) { | |
1354 | shift = clz64(a1); | |
1355 | shortShift128Left(a1, a2, shift, &a0, &a1); | |
1356 | a2 = 0; | |
1357 | shift += 64; | |
1358 | } else if (likely(a2)) { | |
1359 | shift = clz64(a2); | |
1360 | a0 = a2 << shift; | |
1361 | a1 = a2 = 0; | |
1362 | shift += 128; | |
1363 | } else { | |
1364 | a->cls = float_class_zero; | |
1365 | return; | |
1366 | } | |
1367 | ||
1368 | a->exp = b->exp + exp_diff - shift; | |
1369 | a->frac_hi = a0; | |
1370 | a->frac_lo = a1 | (a2 != 0); | |
1371 | } | |
1372 | ||
1373 | #define frac_modrem(A, B, Q) FRAC_GENERIC_64_128(modrem, A)(A, B, Q) | |
1374 | ||
d46975bc RH |
1375 | static void frac64_shl(FloatParts64 *a, int c) |
1376 | { | |
1377 | a->frac <<= c; | |
1378 | } | |
1379 | ||
1380 | static void frac128_shl(FloatParts128 *a, int c) | |
1381 | { | |
463e45dc RH |
1382 | uint64_t a0 = a->frac_hi, a1 = a->frac_lo; |
1383 | ||
1384 | if (c & 64) { | |
1385 | a0 = a1, a1 = 0; | |
1386 | } | |
1387 | ||
1388 | c &= 63; | |
1389 | if (c) { | |
1390 | a0 = shl_double(a0, a1, c); | |
1391 | a1 = a1 << c; | |
1392 | } | |
1393 | ||
1394 | a->frac_hi = a0; | |
1395 | a->frac_lo = a1; | |
d46975bc RH |
1396 | } |
1397 | ||
1398 | #define frac_shl(A, C) FRAC_GENERIC_64_128(shl, A)(A, C) | |
1399 | ||
1400 | static void frac64_shr(FloatParts64 *a, int c) | |
1401 | { | |
1402 | a->frac >>= c; | |
1403 | } | |
1404 | ||
1405 | static void frac128_shr(FloatParts128 *a, int c) | |
1406 | { | |
463e45dc RH |
1407 | uint64_t a0 = a->frac_hi, a1 = a->frac_lo; |
1408 | ||
1409 | if (c & 64) { | |
1410 | a1 = a0, a0 = 0; | |
1411 | } | |
1412 | ||
1413 | c &= 63; | |
1414 | if (c) { | |
1415 | a1 = shr_double(a0, a1, c); | |
1416 | a0 = a0 >> c; | |
1417 | } | |
1418 | ||
1419 | a->frac_hi = a0; | |
1420 | a->frac_lo = a1; | |
d46975bc RH |
1421 | } |
1422 | ||
1423 | #define frac_shr(A, C) FRAC_GENERIC_64_128(shr, A)(A, C) | |
1424 | ||
ee6959f2 | 1425 | static void frac64_shrjam(FloatParts64 *a, int c) |
6fff2167 | 1426 | { |
463e45dc RH |
1427 | uint64_t a0 = a->frac; |
1428 | ||
1429 | if (likely(c != 0)) { | |
1430 | if (likely(c < 64)) { | |
1431 | a0 = (a0 >> c) | (shr_double(a0, 0, c) != 0); | |
1432 | } else { | |
1433 | a0 = a0 != 0; | |
1434 | } | |
1435 | a->frac = a0; | |
1436 | } | |
ee6959f2 | 1437 | } |
6fff2167 | 1438 | |
ee6959f2 RH |
1439 | static void frac128_shrjam(FloatParts128 *a, int c) |
1440 | { | |
463e45dc RH |
1441 | uint64_t a0 = a->frac_hi, a1 = a->frac_lo; |
1442 | uint64_t sticky = 0; | |
1443 | ||
1444 | if (unlikely(c == 0)) { | |
1445 | return; | |
1446 | } else if (likely(c < 64)) { | |
1447 | /* nothing */ | |
1448 | } else if (likely(c < 128)) { | |
1449 | sticky = a1; | |
1450 | a1 = a0; | |
1451 | a0 = 0; | |
1452 | c &= 63; | |
1453 | if (c == 0) { | |
1454 | goto done; | |
1455 | } | |
1456 | } else { | |
1457 | sticky = a0 | a1; | |
1458 | a0 = a1 = 0; | |
1459 | goto done; | |
1460 | } | |
1461 | ||
1462 | sticky |= shr_double(a1, 0, c); | |
1463 | a1 = shr_double(a0, a1, c); | |
1464 | a0 = a0 >> c; | |
1465 | ||
1466 | done: | |
1467 | a->frac_lo = a1 | (sticky != 0); | |
1468 | a->frac_hi = a0; | |
6fff2167 AB |
1469 | } |
1470 | ||
dedd123c RH |
1471 | static void frac256_shrjam(FloatParts256 *a, int c) |
1472 | { | |
1473 | uint64_t a0 = a->frac_hi, a1 = a->frac_hm; | |
1474 | uint64_t a2 = a->frac_lm, a3 = a->frac_lo; | |
1475 | uint64_t sticky = 0; | |
dedd123c RH |
1476 | |
1477 | if (unlikely(c == 0)) { | |
1478 | return; | |
1479 | } else if (likely(c < 64)) { | |
1480 | /* nothing */ | |
1481 | } else if (likely(c < 256)) { | |
1482 | if (unlikely(c & 128)) { | |
1483 | sticky |= a2 | a3; | |
1484 | a3 = a1, a2 = a0, a1 = 0, a0 = 0; | |
1485 | } | |
1486 | if (unlikely(c & 64)) { | |
1487 | sticky |= a3; | |
1488 | a3 = a2, a2 = a1, a1 = a0, a0 = 0; | |
1489 | } | |
1490 | c &= 63; | |
1491 | if (c == 0) { | |
1492 | goto done; | |
1493 | } | |
1494 | } else { | |
1495 | sticky = a0 | a1 | a2 | a3; | |
1496 | a0 = a1 = a2 = a3 = 0; | |
1497 | goto done; | |
1498 | } | |
1499 | ||
463e45dc RH |
1500 | sticky |= shr_double(a3, 0, c); |
1501 | a3 = shr_double(a2, a3, c); | |
1502 | a2 = shr_double(a1, a2, c); | |
1503 | a1 = shr_double(a0, a1, c); | |
1504 | a0 = a0 >> c; | |
dedd123c RH |
1505 | |
1506 | done: | |
1507 | a->frac_lo = a3 | (sticky != 0); | |
1508 | a->frac_lm = a2; | |
1509 | a->frac_hm = a1; | |
1510 | a->frac_hi = a0; | |
1511 | } | |
1512 | ||
1513 | #define frac_shrjam(A, C) FRAC_GENERIC_64_128_256(shrjam, A)(A, C) | |
d446830a | 1514 | |
da10a907 RH |
1515 | static bool frac64_sub(FloatParts64 *r, FloatParts64 *a, FloatParts64 *b) |
1516 | { | |
1517 | return usub64_overflow(a->frac, b->frac, &r->frac); | |
1518 | } | |
7c45bad8 | 1519 | |
da10a907 RH |
1520 | static bool frac128_sub(FloatParts128 *r, FloatParts128 *a, FloatParts128 *b) |
1521 | { | |
1522 | bool c = 0; | |
1523 | r->frac_lo = usub64_borrow(a->frac_lo, b->frac_lo, &c); | |
1524 | r->frac_hi = usub64_borrow(a->frac_hi, b->frac_hi, &c); | |
1525 | return c; | |
1526 | } | |
1527 | ||
dedd123c RH |
1528 | static bool frac256_sub(FloatParts256 *r, FloatParts256 *a, FloatParts256 *b) |
1529 | { | |
1530 | bool c = 0; | |
1531 | r->frac_lo = usub64_borrow(a->frac_lo, b->frac_lo, &c); | |
1532 | r->frac_lm = usub64_borrow(a->frac_lm, b->frac_lm, &c); | |
1533 | r->frac_hm = usub64_borrow(a->frac_hm, b->frac_hm, &c); | |
1534 | r->frac_hi = usub64_borrow(a->frac_hi, b->frac_hi, &c); | |
1535 | return c; | |
1536 | } | |
1537 | ||
1538 | #define frac_sub(R, A, B) FRAC_GENERIC_64_128_256(sub, R)(R, A, B) | |
da10a907 | 1539 | |
aca84527 RH |
1540 | static void frac64_truncjam(FloatParts64 *r, FloatParts128 *a) |
1541 | { | |
1542 | r->frac = a->frac_hi | (a->frac_lo != 0); | |
1543 | } | |
1544 | ||
1545 | static void frac128_truncjam(FloatParts128 *r, FloatParts256 *a) | |
1546 | { | |
1547 | r->frac_hi = a->frac_hi; | |
1548 | r->frac_lo = a->frac_hm | ((a->frac_lm | a->frac_lo) != 0); | |
1549 | } | |
1550 | ||
1551 | #define frac_truncjam(R, A) FRAC_GENERIC_64_128(truncjam, R)(R, A) | |
1552 | ||
dedd123c RH |
1553 | static void frac64_widen(FloatParts128 *r, FloatParts64 *a) |
1554 | { | |
1555 | r->frac_hi = a->frac; | |
1556 | r->frac_lo = 0; | |
1557 | } | |
1558 | ||
1559 | static void frac128_widen(FloatParts256 *r, FloatParts128 *a) | |
1560 | { | |
1561 | r->frac_hi = a->frac_hi; | |
1562 | r->frac_hm = a->frac_lo; | |
1563 | r->frac_lm = 0; | |
1564 | r->frac_lo = 0; | |
1565 | } | |
1566 | ||
1567 | #define frac_widen(A, B) FRAC_GENERIC_64_128(widen, B)(A, B) | |
1568 | ||
9261b245 RH |
1569 | /* |
1570 | * Reciprocal sqrt table. 1 bit of exponent, 6-bits of mantessa. | |
1571 | * From https://git.musl-libc.org/cgit/musl/tree/src/math/sqrt_data.c | |
1572 | * and thus MIT licenced. | |
1573 | */ | |
1574 | static const uint16_t rsqrt_tab[128] = { | |
1575 | 0xb451, 0xb2f0, 0xb196, 0xb044, 0xaef9, 0xadb6, 0xac79, 0xab43, | |
1576 | 0xaa14, 0xa8eb, 0xa7c8, 0xa6aa, 0xa592, 0xa480, 0xa373, 0xa26b, | |
1577 | 0xa168, 0xa06a, 0x9f70, 0x9e7b, 0x9d8a, 0x9c9d, 0x9bb5, 0x9ad1, | |
1578 | 0x99f0, 0x9913, 0x983a, 0x9765, 0x9693, 0x95c4, 0x94f8, 0x9430, | |
1579 | 0x936b, 0x92a9, 0x91ea, 0x912e, 0x9075, 0x8fbe, 0x8f0a, 0x8e59, | |
1580 | 0x8daa, 0x8cfe, 0x8c54, 0x8bac, 0x8b07, 0x8a64, 0x89c4, 0x8925, | |
1581 | 0x8889, 0x87ee, 0x8756, 0x86c0, 0x862b, 0x8599, 0x8508, 0x8479, | |
1582 | 0x83ec, 0x8361, 0x82d8, 0x8250, 0x81c9, 0x8145, 0x80c2, 0x8040, | |
1583 | 0xff02, 0xfd0e, 0xfb25, 0xf947, 0xf773, 0xf5aa, 0xf3ea, 0xf234, | |
1584 | 0xf087, 0xeee3, 0xed47, 0xebb3, 0xea27, 0xe8a3, 0xe727, 0xe5b2, | |
1585 | 0xe443, 0xe2dc, 0xe17a, 0xe020, 0xdecb, 0xdd7d, 0xdc34, 0xdaf1, | |
1586 | 0xd9b3, 0xd87b, 0xd748, 0xd61a, 0xd4f1, 0xd3cd, 0xd2ad, 0xd192, | |
1587 | 0xd07b, 0xcf69, 0xce5b, 0xcd51, 0xcc4a, 0xcb48, 0xca4a, 0xc94f, | |
1588 | 0xc858, 0xc764, 0xc674, 0xc587, 0xc49d, 0xc3b7, 0xc2d4, 0xc1f4, | |
1589 | 0xc116, 0xc03c, 0xbf65, 0xbe90, 0xbdbe, 0xbcef, 0xbc23, 0xbb59, | |
1590 | 0xba91, 0xb9cc, 0xb90a, 0xb84a, 0xb78c, 0xb6d0, 0xb617, 0xb560, | |
1591 | }; | |
1592 | ||
da10a907 RH |
1593 | #define partsN(NAME) glue(glue(glue(parts,N),_),NAME) |
1594 | #define FloatPartsN glue(FloatParts,N) | |
aca84527 | 1595 | #define FloatPartsW glue(FloatParts,W) |
da10a907 RH |
1596 | |
1597 | #define N 64 | |
aca84527 | 1598 | #define W 128 |
da10a907 RH |
1599 | |
1600 | #include "softfloat-parts-addsub.c.inc" | |
7c45bad8 RH |
1601 | #include "softfloat-parts.c.inc" |
1602 | ||
da10a907 | 1603 | #undef N |
aca84527 | 1604 | #undef W |
da10a907 | 1605 | #define N 128 |
aca84527 | 1606 | #define W 256 |
7c45bad8 | 1607 | |
da10a907 | 1608 | #include "softfloat-parts-addsub.c.inc" |
7c45bad8 RH |
1609 | #include "softfloat-parts.c.inc" |
1610 | ||
dedd123c RH |
1611 | #undef N |
1612 | #undef W | |
1613 | #define N 256 | |
1614 | ||
1615 | #include "softfloat-parts-addsub.c.inc" | |
1616 | ||
da10a907 | 1617 | #undef N |
aca84527 | 1618 | #undef W |
7c45bad8 RH |
1619 | #undef partsN |
1620 | #undef FloatPartsN | |
aca84527 | 1621 | #undef FloatPartsW |
7c45bad8 | 1622 | |
aaffb7bf RH |
1623 | /* |
1624 | * Pack/unpack routines with a specific FloatFmt. | |
1625 | */ | |
1626 | ||
98e256fc RH |
1627 | static void float16a_unpack_canonical(FloatParts64 *p, float16 f, |
1628 | float_status *s, const FloatFmt *params) | |
aaffb7bf | 1629 | { |
98e256fc | 1630 | float16_unpack_raw(p, f); |
d46975bc | 1631 | parts_canonicalize(p, s, params); |
aaffb7bf RH |
1632 | } |
1633 | ||
98e256fc RH |
1634 | static void float16_unpack_canonical(FloatParts64 *p, float16 f, |
1635 | float_status *s) | |
aaffb7bf | 1636 | { |
98e256fc | 1637 | float16a_unpack_canonical(p, f, s, &float16_params); |
aaffb7bf RH |
1638 | } |
1639 | ||
98e256fc RH |
1640 | static void bfloat16_unpack_canonical(FloatParts64 *p, bfloat16 f, |
1641 | float_status *s) | |
aaffb7bf | 1642 | { |
98e256fc | 1643 | bfloat16_unpack_raw(p, f); |
d46975bc | 1644 | parts_canonicalize(p, s, &bfloat16_params); |
aaffb7bf RH |
1645 | } |
1646 | ||
e293e927 RH |
1647 | static float16 float16a_round_pack_canonical(FloatParts64 *p, |
1648 | float_status *s, | |
aaffb7bf RH |
1649 | const FloatFmt *params) |
1650 | { | |
ee6959f2 | 1651 | parts_uncanon(p, s, params); |
e293e927 | 1652 | return float16_pack_raw(p); |
aaffb7bf RH |
1653 | } |
1654 | ||
e293e927 RH |
1655 | static float16 float16_round_pack_canonical(FloatParts64 *p, |
1656 | float_status *s) | |
aaffb7bf RH |
1657 | { |
1658 | return float16a_round_pack_canonical(p, s, &float16_params); | |
1659 | } | |
1660 | ||
e293e927 RH |
1661 | static bfloat16 bfloat16_round_pack_canonical(FloatParts64 *p, |
1662 | float_status *s) | |
aaffb7bf | 1663 | { |
ee6959f2 | 1664 | parts_uncanon(p, s, &bfloat16_params); |
e293e927 | 1665 | return bfloat16_pack_raw(p); |
aaffb7bf RH |
1666 | } |
1667 | ||
98e256fc RH |
1668 | static void float32_unpack_canonical(FloatParts64 *p, float32 f, |
1669 | float_status *s) | |
aaffb7bf | 1670 | { |
98e256fc | 1671 | float32_unpack_raw(p, f); |
d46975bc | 1672 | parts_canonicalize(p, s, &float32_params); |
aaffb7bf RH |
1673 | } |
1674 | ||
e293e927 RH |
1675 | static float32 float32_round_pack_canonical(FloatParts64 *p, |
1676 | float_status *s) | |
aaffb7bf | 1677 | { |
ee6959f2 | 1678 | parts_uncanon(p, s, &float32_params); |
e293e927 | 1679 | return float32_pack_raw(p); |
aaffb7bf RH |
1680 | } |
1681 | ||
98e256fc RH |
1682 | static void float64_unpack_canonical(FloatParts64 *p, float64 f, |
1683 | float_status *s) | |
aaffb7bf | 1684 | { |
98e256fc | 1685 | float64_unpack_raw(p, f); |
d46975bc | 1686 | parts_canonicalize(p, s, &float64_params); |
aaffb7bf RH |
1687 | } |
1688 | ||
e293e927 RH |
1689 | static float64 float64_round_pack_canonical(FloatParts64 *p, |
1690 | float_status *s) | |
aaffb7bf | 1691 | { |
ee6959f2 | 1692 | parts_uncanon(p, s, &float64_params); |
e293e927 | 1693 | return float64_pack_raw(p); |
aaffb7bf RH |
1694 | } |
1695 | ||
42636fb9 RH |
1696 | static float64 float64r32_round_pack_canonical(FloatParts64 *p, |
1697 | float_status *s) | |
1698 | { | |
1699 | parts_uncanon(p, s, &float32_params); | |
1700 | ||
1701 | /* | |
1702 | * In parts_uncanon, we placed the fraction for float32 at the lsb. | |
1703 | * We need to adjust the fraction higher so that the least N bits are | |
1704 | * zero, and the fraction is adjacent to the float64 implicit bit. | |
1705 | */ | |
1706 | switch (p->cls) { | |
1707 | case float_class_normal: | |
1708 | if (unlikely(p->exp == 0)) { | |
1709 | /* | |
1710 | * The result is denormal for float32, but can be represented | |
1711 | * in normalized form for float64. Adjust, per canonicalize. | |
1712 | */ | |
1713 | int shift = frac_normalize(p); | |
1714 | p->exp = (float32_params.frac_shift - | |
1715 | float32_params.exp_bias - shift + 1 + | |
1716 | float64_params.exp_bias); | |
1717 | frac_shr(p, float64_params.frac_shift); | |
1718 | } else { | |
1719 | frac_shl(p, float32_params.frac_shift - float64_params.frac_shift); | |
1720 | p->exp += float64_params.exp_bias - float32_params.exp_bias; | |
1721 | } | |
1722 | break; | |
1723 | case float_class_snan: | |
1724 | case float_class_qnan: | |
1725 | frac_shl(p, float32_params.frac_shift - float64_params.frac_shift); | |
1726 | p->exp = float64_params.exp_max; | |
1727 | break; | |
1728 | case float_class_inf: | |
1729 | p->exp = float64_params.exp_max; | |
1730 | break; | |
1731 | case float_class_zero: | |
1732 | break; | |
1733 | default: | |
1734 | g_assert_not_reached(); | |
1735 | } | |
1736 | ||
1737 | return float64_pack_raw(p); | |
1738 | } | |
1739 | ||
3ff49e56 RH |
1740 | static void float128_unpack_canonical(FloatParts128 *p, float128 f, |
1741 | float_status *s) | |
1742 | { | |
1743 | float128_unpack_raw(p, f); | |
1744 | parts_canonicalize(p, s, &float128_params); | |
1745 | } | |
1746 | ||
1747 | static float128 float128_round_pack_canonical(FloatParts128 *p, | |
1748 | float_status *s) | |
1749 | { | |
1750 | parts_uncanon(p, s, &float128_params); | |
1751 | return float128_pack_raw(p); | |
1752 | } | |
1753 | ||
c1b6299b RH |
1754 | /* Returns false if the encoding is invalid. */ |
1755 | static bool floatx80_unpack_canonical(FloatParts128 *p, floatx80 f, | |
1756 | float_status *s) | |
1757 | { | |
1758 | /* Ensure rounding precision is set before beginning. */ | |
1759 | switch (s->floatx80_rounding_precision) { | |
1760 | case floatx80_precision_x: | |
1761 | case floatx80_precision_d: | |
1762 | case floatx80_precision_s: | |
1763 | break; | |
1764 | default: | |
1765 | g_assert_not_reached(); | |
1766 | } | |
1767 | ||
1768 | if (unlikely(floatx80_invalid_encoding(f))) { | |
1769 | float_raise(float_flag_invalid, s); | |
1770 | return false; | |
1771 | } | |
1772 | ||
1773 | floatx80_unpack_raw(p, f); | |
1774 | ||
1775 | if (likely(p->exp != floatx80_params[floatx80_precision_x].exp_max)) { | |
1776 | parts_canonicalize(p, s, &floatx80_params[floatx80_precision_x]); | |
1777 | } else { | |
1778 | /* The explicit integer bit is ignored, after invalid checks. */ | |
1779 | p->frac_hi &= MAKE_64BIT_MASK(0, 63); | |
1780 | p->cls = (p->frac_hi == 0 ? float_class_inf | |
1781 | : parts_is_snan_frac(p->frac_hi, s) | |
1782 | ? float_class_snan : float_class_qnan); | |
1783 | } | |
1784 | return true; | |
1785 | } | |
1786 | ||
1787 | static floatx80 floatx80_round_pack_canonical(FloatParts128 *p, | |
1788 | float_status *s) | |
1789 | { | |
1790 | const FloatFmt *fmt = &floatx80_params[s->floatx80_rounding_precision]; | |
1791 | uint64_t frac; | |
1792 | int exp; | |
1793 | ||
1794 | switch (p->cls) { | |
1795 | case float_class_normal: | |
1796 | if (s->floatx80_rounding_precision == floatx80_precision_x) { | |
1797 | parts_uncanon_normal(p, s, fmt); | |
1798 | frac = p->frac_hi; | |
1799 | exp = p->exp; | |
1800 | } else { | |
1801 | FloatParts64 p64; | |
1802 | ||
1803 | p64.sign = p->sign; | |
1804 | p64.exp = p->exp; | |
1805 | frac_truncjam(&p64, p); | |
1806 | parts_uncanon_normal(&p64, s, fmt); | |
1807 | frac = p64.frac; | |
1808 | exp = p64.exp; | |
1809 | } | |
1810 | if (exp != fmt->exp_max) { | |
1811 | break; | |
1812 | } | |
1813 | /* rounded to inf -- fall through to set frac correctly */ | |
1814 | ||
1815 | case float_class_inf: | |
1816 | /* x86 and m68k differ in the setting of the integer bit. */ | |
1817 | frac = floatx80_infinity_low; | |
1818 | exp = fmt->exp_max; | |
1819 | break; | |
1820 | ||
1821 | case float_class_zero: | |
1822 | frac = 0; | |
1823 | exp = 0; | |
1824 | break; | |
1825 | ||
1826 | case float_class_snan: | |
1827 | case float_class_qnan: | |
1828 | /* NaNs have the integer bit set. */ | |
1829 | frac = p->frac_hi | (1ull << 63); | |
1830 | exp = fmt->exp_max; | |
1831 | break; | |
1832 | ||
1833 | default: | |
1834 | g_assert_not_reached(); | |
1835 | } | |
1836 | ||
1837 | return packFloatx80(p->sign, exp, frac); | |
1838 | } | |
1839 | ||
6fff2167 | 1840 | /* |
da10a907 | 1841 | * Addition and subtraction |
6fff2167 AB |
1842 | */ |
1843 | ||
da10a907 RH |
1844 | static float16 QEMU_FLATTEN |
1845 | float16_addsub(float16 a, float16 b, float_status *status, bool subtract) | |
6fff2167 | 1846 | { |
da10a907 | 1847 | FloatParts64 pa, pb, *pr; |
98e256fc RH |
1848 | |
1849 | float16_unpack_canonical(&pa, a, status); | |
1850 | float16_unpack_canonical(&pb, b, status); | |
da10a907 | 1851 | pr = parts_addsub(&pa, &pb, status, subtract); |
6fff2167 | 1852 | |
da10a907 | 1853 | return float16_round_pack_canonical(pr, status); |
6fff2167 AB |
1854 | } |
1855 | ||
da10a907 | 1856 | float16 float16_add(float16 a, float16 b, float_status *status) |
1b615d48 | 1857 | { |
da10a907 RH |
1858 | return float16_addsub(a, b, status, false); |
1859 | } | |
1b615d48 | 1860 | |
da10a907 RH |
1861 | float16 float16_sub(float16 a, float16 b, float_status *status) |
1862 | { | |
1863 | return float16_addsub(a, b, status, true); | |
1b615d48 EC |
1864 | } |
1865 | ||
1866 | static float32 QEMU_SOFTFLOAT_ATTR | |
da10a907 | 1867 | soft_f32_addsub(float32 a, float32 b, float_status *status, bool subtract) |
6fff2167 | 1868 | { |
da10a907 | 1869 | FloatParts64 pa, pb, *pr; |
98e256fc RH |
1870 | |
1871 | float32_unpack_canonical(&pa, a, status); | |
1872 | float32_unpack_canonical(&pb, b, status); | |
da10a907 | 1873 | pr = parts_addsub(&pa, &pb, status, subtract); |
6fff2167 | 1874 | |
da10a907 | 1875 | return float32_round_pack_canonical(pr, status); |
6fff2167 AB |
1876 | } |
1877 | ||
da10a907 | 1878 | static float32 soft_f32_add(float32 a, float32 b, float_status *status) |
1b615d48 | 1879 | { |
da10a907 | 1880 | return soft_f32_addsub(a, b, status, false); |
1b615d48 EC |
1881 | } |
1882 | ||
da10a907 | 1883 | static float32 soft_f32_sub(float32 a, float32 b, float_status *status) |
1b615d48 | 1884 | { |
da10a907 | 1885 | return soft_f32_addsub(a, b, status, true); |
1b615d48 EC |
1886 | } |
1887 | ||
1888 | static float64 QEMU_SOFTFLOAT_ATTR | |
da10a907 | 1889 | soft_f64_addsub(float64 a, float64 b, float_status *status, bool subtract) |
6fff2167 | 1890 | { |
da10a907 | 1891 | FloatParts64 pa, pb, *pr; |
98e256fc RH |
1892 | |
1893 | float64_unpack_canonical(&pa, a, status); | |
1894 | float64_unpack_canonical(&pb, b, status); | |
da10a907 | 1895 | pr = parts_addsub(&pa, &pb, status, subtract); |
6fff2167 | 1896 | |
da10a907 | 1897 | return float64_round_pack_canonical(pr, status); |
6fff2167 AB |
1898 | } |
1899 | ||
da10a907 | 1900 | static float64 soft_f64_add(float64 a, float64 b, float_status *status) |
6fff2167 | 1901 | { |
da10a907 | 1902 | return soft_f64_addsub(a, b, status, false); |
1b615d48 | 1903 | } |
6fff2167 | 1904 | |
da10a907 | 1905 | static float64 soft_f64_sub(float64 a, float64 b, float_status *status) |
1b615d48 | 1906 | { |
da10a907 | 1907 | return soft_f64_addsub(a, b, status, true); |
6fff2167 AB |
1908 | } |
1909 | ||
1b615d48 | 1910 | static float hard_f32_add(float a, float b) |
6fff2167 | 1911 | { |
1b615d48 EC |
1912 | return a + b; |
1913 | } | |
6fff2167 | 1914 | |
1b615d48 EC |
1915 | static float hard_f32_sub(float a, float b) |
1916 | { | |
1917 | return a - b; | |
6fff2167 AB |
1918 | } |
1919 | ||
1b615d48 | 1920 | static double hard_f64_add(double a, double b) |
6fff2167 | 1921 | { |
1b615d48 EC |
1922 | return a + b; |
1923 | } | |
6fff2167 | 1924 | |
1b615d48 EC |
1925 | static double hard_f64_sub(double a, double b) |
1926 | { | |
1927 | return a - b; | |
1928 | } | |
1929 | ||
b240c9c4 | 1930 | static bool f32_addsubmul_post(union_float32 a, union_float32 b) |
1b615d48 EC |
1931 | { |
1932 | if (QEMU_HARDFLOAT_2F32_USE_FP) { | |
1933 | return !(fpclassify(a.h) == FP_ZERO && fpclassify(b.h) == FP_ZERO); | |
1934 | } | |
1935 | return !(float32_is_zero(a.s) && float32_is_zero(b.s)); | |
1936 | } | |
1937 | ||
b240c9c4 | 1938 | static bool f64_addsubmul_post(union_float64 a, union_float64 b) |
1b615d48 EC |
1939 | { |
1940 | if (QEMU_HARDFLOAT_2F64_USE_FP) { | |
1941 | return !(fpclassify(a.h) == FP_ZERO && fpclassify(b.h) == FP_ZERO); | |
1942 | } else { | |
1943 | return !(float64_is_zero(a.s) && float64_is_zero(b.s)); | |
1944 | } | |
1945 | } | |
1946 | ||
1947 | static float32 float32_addsub(float32 a, float32 b, float_status *s, | |
1948 | hard_f32_op2_fn hard, soft_f32_op2_fn soft) | |
1949 | { | |
1950 | return float32_gen2(a, b, s, hard, soft, | |
b240c9c4 | 1951 | f32_is_zon2, f32_addsubmul_post); |
1b615d48 EC |
1952 | } |
1953 | ||
1954 | static float64 float64_addsub(float64 a, float64 b, float_status *s, | |
1955 | hard_f64_op2_fn hard, soft_f64_op2_fn soft) | |
1956 | { | |
1957 | return float64_gen2(a, b, s, hard, soft, | |
b240c9c4 | 1958 | f64_is_zon2, f64_addsubmul_post); |
1b615d48 EC |
1959 | } |
1960 | ||
1961 | float32 QEMU_FLATTEN | |
1962 | float32_add(float32 a, float32 b, float_status *s) | |
1963 | { | |
1964 | return float32_addsub(a, b, s, hard_f32_add, soft_f32_add); | |
1965 | } | |
1966 | ||
1967 | float32 QEMU_FLATTEN | |
1968 | float32_sub(float32 a, float32 b, float_status *s) | |
1969 | { | |
1970 | return float32_addsub(a, b, s, hard_f32_sub, soft_f32_sub); | |
1971 | } | |
1972 | ||
1973 | float64 QEMU_FLATTEN | |
1974 | float64_add(float64 a, float64 b, float_status *s) | |
1975 | { | |
1976 | return float64_addsub(a, b, s, hard_f64_add, soft_f64_add); | |
1977 | } | |
1978 | ||
1979 | float64 QEMU_FLATTEN | |
1980 | float64_sub(float64 a, float64 b, float_status *s) | |
1981 | { | |
1982 | return float64_addsub(a, b, s, hard_f64_sub, soft_f64_sub); | |
6fff2167 AB |
1983 | } |
1984 | ||
42636fb9 RH |
1985 | static float64 float64r32_addsub(float64 a, float64 b, float_status *status, |
1986 | bool subtract) | |
1987 | { | |
1988 | FloatParts64 pa, pb, *pr; | |
1989 | ||
1990 | float64_unpack_canonical(&pa, a, status); | |
1991 | float64_unpack_canonical(&pb, b, status); | |
1992 | pr = parts_addsub(&pa, &pb, status, subtract); | |
1993 | ||
1994 | return float64r32_round_pack_canonical(pr, status); | |
1995 | } | |
1996 | ||
1997 | float64 float64r32_add(float64 a, float64 b, float_status *status) | |
1998 | { | |
1999 | return float64r32_addsub(a, b, status, false); | |
2000 | } | |
2001 | ||
2002 | float64 float64r32_sub(float64 a, float64 b, float_status *status) | |
2003 | { | |
2004 | return float64r32_addsub(a, b, status, true); | |
2005 | } | |
2006 | ||
da10a907 RH |
2007 | static bfloat16 QEMU_FLATTEN |
2008 | bfloat16_addsub(bfloat16 a, bfloat16 b, float_status *status, bool subtract) | |
8282310d | 2009 | { |
da10a907 | 2010 | FloatParts64 pa, pb, *pr; |
98e256fc RH |
2011 | |
2012 | bfloat16_unpack_canonical(&pa, a, status); | |
2013 | bfloat16_unpack_canonical(&pb, b, status); | |
da10a907 | 2014 | pr = parts_addsub(&pa, &pb, status, subtract); |
8282310d | 2015 | |
da10a907 | 2016 | return bfloat16_round_pack_canonical(pr, status); |
8282310d LZ |
2017 | } |
2018 | ||
da10a907 | 2019 | bfloat16 bfloat16_add(bfloat16 a, bfloat16 b, float_status *status) |
8282310d | 2020 | { |
da10a907 RH |
2021 | return bfloat16_addsub(a, b, status, false); |
2022 | } | |
8282310d | 2023 | |
da10a907 RH |
2024 | bfloat16 bfloat16_sub(bfloat16 a, bfloat16 b, float_status *status) |
2025 | { | |
2026 | return bfloat16_addsub(a, b, status, true); | |
8282310d LZ |
2027 | } |
2028 | ||
3ff49e56 RH |
2029 | static float128 QEMU_FLATTEN |
2030 | float128_addsub(float128 a, float128 b, float_status *status, bool subtract) | |
2031 | { | |
2032 | FloatParts128 pa, pb, *pr; | |
2033 | ||
2034 | float128_unpack_canonical(&pa, a, status); | |
2035 | float128_unpack_canonical(&pb, b, status); | |
2036 | pr = parts_addsub(&pa, &pb, status, subtract); | |
2037 | ||
2038 | return float128_round_pack_canonical(pr, status); | |
2039 | } | |
2040 | ||
2041 | float128 float128_add(float128 a, float128 b, float_status *status) | |
2042 | { | |
2043 | return float128_addsub(a, b, status, false); | |
2044 | } | |
2045 | ||
2046 | float128 float128_sub(float128 a, float128 b, float_status *status) | |
2047 | { | |
2048 | return float128_addsub(a, b, status, true); | |
2049 | } | |
2050 | ||
c1b6299b RH |
2051 | static floatx80 QEMU_FLATTEN |
2052 | floatx80_addsub(floatx80 a, floatx80 b, float_status *status, bool subtract) | |
2053 | { | |
2054 | FloatParts128 pa, pb, *pr; | |
2055 | ||
2056 | if (!floatx80_unpack_canonical(&pa, a, status) || | |
2057 | !floatx80_unpack_canonical(&pb, b, status)) { | |
2058 | return floatx80_default_nan(status); | |
2059 | } | |
2060 | ||
2061 | pr = parts_addsub(&pa, &pb, status, subtract); | |
2062 | return floatx80_round_pack_canonical(pr, status); | |
2063 | } | |
2064 | ||
2065 | floatx80 floatx80_add(floatx80 a, floatx80 b, float_status *status) | |
2066 | { | |
2067 | return floatx80_addsub(a, b, status, false); | |
2068 | } | |
2069 | ||
2070 | floatx80 floatx80_sub(floatx80 a, floatx80 b, float_status *status) | |
2071 | { | |
2072 | return floatx80_addsub(a, b, status, true); | |
2073 | } | |
2074 | ||
74d707e2 | 2075 | /* |
aca84527 | 2076 | * Multiplication |
74d707e2 AB |
2077 | */ |
2078 | ||
97ff87c0 | 2079 | float16 QEMU_FLATTEN float16_mul(float16 a, float16 b, float_status *status) |
74d707e2 | 2080 | { |
aca84527 | 2081 | FloatParts64 pa, pb, *pr; |
98e256fc RH |
2082 | |
2083 | float16_unpack_canonical(&pa, a, status); | |
2084 | float16_unpack_canonical(&pb, b, status); | |
aca84527 | 2085 | pr = parts_mul(&pa, &pb, status); |
74d707e2 | 2086 | |
aca84527 | 2087 | return float16_round_pack_canonical(pr, status); |
74d707e2 AB |
2088 | } |
2089 | ||
2dfabc86 EC |
2090 | static float32 QEMU_SOFTFLOAT_ATTR |
2091 | soft_f32_mul(float32 a, float32 b, float_status *status) | |
74d707e2 | 2092 | { |
aca84527 | 2093 | FloatParts64 pa, pb, *pr; |
98e256fc RH |
2094 | |
2095 | float32_unpack_canonical(&pa, a, status); | |
2096 | float32_unpack_canonical(&pb, b, status); | |
aca84527 | 2097 | pr = parts_mul(&pa, &pb, status); |
74d707e2 | 2098 | |
aca84527 | 2099 | return float32_round_pack_canonical(pr, status); |
74d707e2 AB |
2100 | } |
2101 | ||
2dfabc86 EC |
2102 | static float64 QEMU_SOFTFLOAT_ATTR |
2103 | soft_f64_mul(float64 a, float64 b, float_status *status) | |
74d707e2 | 2104 | { |
aca84527 | 2105 | FloatParts64 pa, pb, *pr; |
98e256fc RH |
2106 | |
2107 | float64_unpack_canonical(&pa, a, status); | |
2108 | float64_unpack_canonical(&pb, b, status); | |
aca84527 | 2109 | pr = parts_mul(&pa, &pb, status); |
74d707e2 | 2110 | |
aca84527 | 2111 | return float64_round_pack_canonical(pr, status); |
74d707e2 AB |
2112 | } |
2113 | ||
2dfabc86 EC |
2114 | static float hard_f32_mul(float a, float b) |
2115 | { | |
2116 | return a * b; | |
2117 | } | |
2118 | ||
2119 | static double hard_f64_mul(double a, double b) | |
2120 | { | |
2121 | return a * b; | |
2122 | } | |
2123 | ||
2dfabc86 EC |
2124 | float32 QEMU_FLATTEN |
2125 | float32_mul(float32 a, float32 b, float_status *s) | |
2126 | { | |
2127 | return float32_gen2(a, b, s, hard_f32_mul, soft_f32_mul, | |
b240c9c4 | 2128 | f32_is_zon2, f32_addsubmul_post); |
2dfabc86 EC |
2129 | } |
2130 | ||
2131 | float64 QEMU_FLATTEN | |
2132 | float64_mul(float64 a, float64 b, float_status *s) | |
2133 | { | |
2134 | return float64_gen2(a, b, s, hard_f64_mul, soft_f64_mul, | |
b240c9c4 | 2135 | f64_is_zon2, f64_addsubmul_post); |
2dfabc86 EC |
2136 | } |
2137 | ||
42636fb9 RH |
2138 | float64 float64r32_mul(float64 a, float64 b, float_status *status) |
2139 | { | |
2140 | FloatParts64 pa, pb, *pr; | |
2141 | ||
2142 | float64_unpack_canonical(&pa, a, status); | |
2143 | float64_unpack_canonical(&pb, b, status); | |
2144 | pr = parts_mul(&pa, &pb, status); | |
2145 | ||
2146 | return float64r32_round_pack_canonical(pr, status); | |
2147 | } | |
2148 | ||
aca84527 RH |
2149 | bfloat16 QEMU_FLATTEN |
2150 | bfloat16_mul(bfloat16 a, bfloat16 b, float_status *status) | |
8282310d | 2151 | { |
aca84527 | 2152 | FloatParts64 pa, pb, *pr; |
98e256fc RH |
2153 | |
2154 | bfloat16_unpack_canonical(&pa, a, status); | |
2155 | bfloat16_unpack_canonical(&pb, b, status); | |
aca84527 | 2156 | pr = parts_mul(&pa, &pb, status); |
8282310d | 2157 | |
aca84527 RH |
2158 | return bfloat16_round_pack_canonical(pr, status); |
2159 | } | |
2160 | ||
2161 | float128 QEMU_FLATTEN | |
2162 | float128_mul(float128 a, float128 b, float_status *status) | |
2163 | { | |
2164 | FloatParts128 pa, pb, *pr; | |
2165 | ||
2166 | float128_unpack_canonical(&pa, a, status); | |
2167 | float128_unpack_canonical(&pb, b, status); | |
2168 | pr = parts_mul(&pa, &pb, status); | |
2169 | ||
2170 | return float128_round_pack_canonical(pr, status); | |
8282310d LZ |
2171 | } |
2172 | ||
153f664a RH |
2173 | floatx80 QEMU_FLATTEN |
2174 | floatx80_mul(floatx80 a, floatx80 b, float_status *status) | |
2175 | { | |
2176 | FloatParts128 pa, pb, *pr; | |
2177 | ||
2178 | if (!floatx80_unpack_canonical(&pa, a, status) || | |
2179 | !floatx80_unpack_canonical(&pb, b, status)) { | |
2180 | return floatx80_default_nan(status); | |
2181 | } | |
2182 | ||
2183 | pr = parts_mul(&pa, &pb, status); | |
2184 | return floatx80_round_pack_canonical(pr, status); | |
2185 | } | |
2186 | ||
d446830a | 2187 | /* |
dedd123c | 2188 | * Fused multiply-add |
d446830a AB |
2189 | */ |
2190 | ||
97ff87c0 | 2191 | float16 QEMU_FLATTEN float16_muladd(float16 a, float16 b, float16 c, |
dedd123c | 2192 | int flags, float_status *status) |
d446830a | 2193 | { |
dedd123c | 2194 | FloatParts64 pa, pb, pc, *pr; |
98e256fc RH |
2195 | |
2196 | float16_unpack_canonical(&pa, a, status); | |
2197 | float16_unpack_canonical(&pb, b, status); | |
2198 | float16_unpack_canonical(&pc, c, status); | |
dedd123c | 2199 | pr = parts_muladd(&pa, &pb, &pc, flags, status); |
d446830a | 2200 | |
dedd123c | 2201 | return float16_round_pack_canonical(pr, status); |
d446830a AB |
2202 | } |
2203 | ||
ccf770ba EC |
2204 | static float32 QEMU_SOFTFLOAT_ATTR |
2205 | soft_f32_muladd(float32 a, float32 b, float32 c, int flags, | |
2206 | float_status *status) | |
d446830a | 2207 | { |
dedd123c | 2208 | FloatParts64 pa, pb, pc, *pr; |
98e256fc RH |
2209 | |
2210 | float32_unpack_canonical(&pa, a, status); | |
2211 | float32_unpack_canonical(&pb, b, status); | |
2212 | float32_unpack_canonical(&pc, c, status); | |
dedd123c | 2213 | pr = parts_muladd(&pa, &pb, &pc, flags, status); |
d446830a | 2214 | |
dedd123c | 2215 | return float32_round_pack_canonical(pr, status); |
d446830a AB |
2216 | } |
2217 | ||
ccf770ba EC |
2218 | static float64 QEMU_SOFTFLOAT_ATTR |
2219 | soft_f64_muladd(float64 a, float64 b, float64 c, int flags, | |
2220 | float_status *status) | |
d446830a | 2221 | { |
dedd123c | 2222 | FloatParts64 pa, pb, pc, *pr; |
98e256fc RH |
2223 | |
2224 | float64_unpack_canonical(&pa, a, status); | |
2225 | float64_unpack_canonical(&pb, b, status); | |
2226 | float64_unpack_canonical(&pc, c, status); | |
dedd123c | 2227 | pr = parts_muladd(&pa, &pb, &pc, flags, status); |
d446830a | 2228 | |
dedd123c | 2229 | return float64_round_pack_canonical(pr, status); |
d446830a AB |
2230 | } |
2231 | ||
f6b3b108 EC |
2232 | static bool force_soft_fma; |
2233 | ||
ccf770ba EC |
2234 | float32 QEMU_FLATTEN |
2235 | float32_muladd(float32 xa, float32 xb, float32 xc, int flags, float_status *s) | |
2236 | { | |
2237 | union_float32 ua, ub, uc, ur; | |
2238 | ||
2239 | ua.s = xa; | |
2240 | ub.s = xb; | |
2241 | uc.s = xc; | |
2242 | ||
2243 | if (unlikely(!can_use_fpu(s))) { | |
2244 | goto soft; | |
2245 | } | |
2246 | if (unlikely(flags & float_muladd_halve_result)) { | |
2247 | goto soft; | |
2248 | } | |
2249 | ||
2250 | float32_input_flush3(&ua.s, &ub.s, &uc.s, s); | |
2251 | if (unlikely(!f32_is_zon3(ua, ub, uc))) { | |
2252 | goto soft; | |
2253 | } | |
f6b3b108 EC |
2254 | |
2255 | if (unlikely(force_soft_fma)) { | |
2256 | goto soft; | |
2257 | } | |
2258 | ||
ccf770ba EC |
2259 | /* |
2260 | * When (a || b) == 0, there's no need to check for under/over flow, | |
2261 | * since we know the addend is (normal || 0) and the product is 0. | |
2262 | */ | |
2263 | if (float32_is_zero(ua.s) || float32_is_zero(ub.s)) { | |
2264 | union_float32 up; | |
2265 | bool prod_sign; | |
2266 | ||
2267 | prod_sign = float32_is_neg(ua.s) ^ float32_is_neg(ub.s); | |
2268 | prod_sign ^= !!(flags & float_muladd_negate_product); | |
2269 | up.s = float32_set_sign(float32_zero, prod_sign); | |
2270 | ||
2271 | if (flags & float_muladd_negate_c) { | |
2272 | uc.h = -uc.h; | |
2273 | } | |
2274 | ur.h = up.h + uc.h; | |
2275 | } else { | |
896f51fb KC |
2276 | union_float32 ua_orig = ua; |
2277 | union_float32 uc_orig = uc; | |
2278 | ||
ccf770ba EC |
2279 | if (flags & float_muladd_negate_product) { |
2280 | ua.h = -ua.h; | |
2281 | } | |
2282 | if (flags & float_muladd_negate_c) { | |
2283 | uc.h = -uc.h; | |
2284 | } | |
2285 | ||
2286 | ur.h = fmaf(ua.h, ub.h, uc.h); | |
2287 | ||
2288 | if (unlikely(f32_is_inf(ur))) { | |
d82f3b2d | 2289 | float_raise(float_flag_overflow, s); |
ccf770ba | 2290 | } else if (unlikely(fabsf(ur.h) <= FLT_MIN)) { |
896f51fb KC |
2291 | ua = ua_orig; |
2292 | uc = uc_orig; | |
ccf770ba EC |
2293 | goto soft; |
2294 | } | |
2295 | } | |
2296 | if (flags & float_muladd_negate_result) { | |
2297 | return float32_chs(ur.s); | |
2298 | } | |
2299 | return ur.s; | |
2300 | ||
2301 | soft: | |
2302 | return soft_f32_muladd(ua.s, ub.s, uc.s, flags, s); | |
2303 | } | |
2304 | ||
2305 | float64 QEMU_FLATTEN | |
2306 | float64_muladd(float64 xa, float64 xb, float64 xc, int flags, float_status *s) | |
2307 | { | |
2308 | union_float64 ua, ub, uc, ur; | |
2309 | ||
2310 | ua.s = xa; | |
2311 | ub.s = xb; | |
2312 | uc.s = xc; | |
2313 | ||
2314 | if (unlikely(!can_use_fpu(s))) { | |
2315 | goto soft; | |
2316 | } | |
2317 | if (unlikely(flags & float_muladd_halve_result)) { | |
2318 | goto soft; | |
2319 | } | |
2320 | ||
2321 | float64_input_flush3(&ua.s, &ub.s, &uc.s, s); | |
2322 | if (unlikely(!f64_is_zon3(ua, ub, uc))) { | |
2323 | goto soft; | |
2324 | } | |
f6b3b108 EC |
2325 | |
2326 | if (unlikely(force_soft_fma)) { | |
2327 | goto soft; | |
2328 | } | |
2329 | ||
ccf770ba EC |
2330 | /* |
2331 | * When (a || b) == 0, there's no need to check for under/over flow, | |
2332 | * since we know the addend is (normal || 0) and the product is 0. | |
2333 | */ | |
2334 | if (float64_is_zero(ua.s) || float64_is_zero(ub.s)) { | |
2335 | union_float64 up; | |
2336 | bool prod_sign; | |
2337 | ||
2338 | prod_sign = float64_is_neg(ua.s) ^ float64_is_neg(ub.s); | |
2339 | prod_sign ^= !!(flags & float_muladd_negate_product); | |
2340 | up.s = float64_set_sign(float64_zero, prod_sign); | |
2341 | ||
2342 | if (flags & float_muladd_negate_c) { | |
2343 | uc.h = -uc.h; | |
2344 | } | |
2345 | ur.h = up.h + uc.h; | |
2346 | } else { | |
896f51fb KC |
2347 | union_float64 ua_orig = ua; |
2348 | union_float64 uc_orig = uc; | |
2349 | ||
ccf770ba EC |
2350 | if (flags & float_muladd_negate_product) { |
2351 | ua.h = -ua.h; | |
2352 | } | |
2353 | if (flags & float_muladd_negate_c) { | |
2354 | uc.h = -uc.h; | |
2355 | } | |
2356 | ||
2357 | ur.h = fma(ua.h, ub.h, uc.h); | |
2358 | ||
2359 | if (unlikely(f64_is_inf(ur))) { | |
d82f3b2d | 2360 | float_raise(float_flag_overflow, s); |
ccf770ba | 2361 | } else if (unlikely(fabs(ur.h) <= FLT_MIN)) { |
896f51fb KC |
2362 | ua = ua_orig; |
2363 | uc = uc_orig; | |
ccf770ba EC |
2364 | goto soft; |
2365 | } | |
2366 | } | |
2367 | if (flags & float_muladd_negate_result) { | |
2368 | return float64_chs(ur.s); | |
2369 | } | |
2370 | return ur.s; | |
2371 | ||
2372 | soft: | |
2373 | return soft_f64_muladd(ua.s, ub.s, uc.s, flags, s); | |
2374 | } | |
2375 | ||
42636fb9 RH |
2376 | float64 float64r32_muladd(float64 a, float64 b, float64 c, |
2377 | int flags, float_status *status) | |
2378 | { | |
2379 | FloatParts64 pa, pb, pc, *pr; | |
2380 | ||
2381 | float64_unpack_canonical(&pa, a, status); | |
2382 | float64_unpack_canonical(&pb, b, status); | |
2383 | float64_unpack_canonical(&pc, c, status); | |
2384 | pr = parts_muladd(&pa, &pb, &pc, flags, status); | |
2385 | ||
2386 | return float64r32_round_pack_canonical(pr, status); | |
2387 | } | |
2388 | ||
8282310d LZ |
2389 | bfloat16 QEMU_FLATTEN bfloat16_muladd(bfloat16 a, bfloat16 b, bfloat16 c, |
2390 | int flags, float_status *status) | |
2391 | { | |
dedd123c | 2392 | FloatParts64 pa, pb, pc, *pr; |
98e256fc RH |
2393 | |
2394 | bfloat16_unpack_canonical(&pa, a, status); | |
2395 | bfloat16_unpack_canonical(&pb, b, status); | |
2396 | bfloat16_unpack_canonical(&pc, c, status); | |
dedd123c RH |
2397 | pr = parts_muladd(&pa, &pb, &pc, flags, status); |
2398 | ||
2399 | return bfloat16_round_pack_canonical(pr, status); | |
2400 | } | |
8282310d | 2401 | |
dedd123c RH |
2402 | float128 QEMU_FLATTEN float128_muladd(float128 a, float128 b, float128 c, |
2403 | int flags, float_status *status) | |
2404 | { | |
2405 | FloatParts128 pa, pb, pc, *pr; | |
2406 | ||
2407 | float128_unpack_canonical(&pa, a, status); | |
2408 | float128_unpack_canonical(&pb, b, status); | |
2409 | float128_unpack_canonical(&pc, c, status); | |
2410 | pr = parts_muladd(&pa, &pb, &pc, flags, status); | |
2411 | ||
2412 | return float128_round_pack_canonical(pr, status); | |
8282310d LZ |
2413 | } |
2414 | ||
cf07323d | 2415 | /* |
ec961b81 | 2416 | * Division |
cf07323d AB |
2417 | */ |
2418 | ||
cf07323d AB |
2419 | float16 float16_div(float16 a, float16 b, float_status *status) |
2420 | { | |
ec961b81 | 2421 | FloatParts64 pa, pb, *pr; |
98e256fc RH |
2422 | |
2423 | float16_unpack_canonical(&pa, a, status); | |
2424 | float16_unpack_canonical(&pb, b, status); | |
ec961b81 | 2425 | pr = parts_div(&pa, &pb, status); |
cf07323d | 2426 | |
ec961b81 | 2427 | return float16_round_pack_canonical(pr, status); |
cf07323d AB |
2428 | } |
2429 | ||
4a629561 EC |
2430 | static float32 QEMU_SOFTFLOAT_ATTR |
2431 | soft_f32_div(float32 a, float32 b, float_status *status) | |
cf07323d | 2432 | { |
ec961b81 | 2433 | FloatParts64 pa, pb, *pr; |
98e256fc RH |
2434 | |
2435 | float32_unpack_canonical(&pa, a, status); | |
2436 | float32_unpack_canonical(&pb, b, status); | |
ec961b81 | 2437 | pr = parts_div(&pa, &pb, status); |
cf07323d | 2438 | |
ec961b81 | 2439 | return float32_round_pack_canonical(pr, status); |
cf07323d AB |
2440 | } |
2441 | ||
4a629561 EC |
2442 | static float64 QEMU_SOFTFLOAT_ATTR |
2443 | soft_f64_div(float64 a, float64 b, float_status *status) | |
cf07323d | 2444 | { |
ec961b81 | 2445 | FloatParts64 pa, pb, *pr; |
98e256fc RH |
2446 | |
2447 | float64_unpack_canonical(&pa, a, status); | |
2448 | float64_unpack_canonical(&pb, b, status); | |
ec961b81 | 2449 | pr = parts_div(&pa, &pb, status); |
cf07323d | 2450 | |
ec961b81 | 2451 | return float64_round_pack_canonical(pr, status); |
cf07323d AB |
2452 | } |
2453 | ||
4a629561 EC |
2454 | static float hard_f32_div(float a, float b) |
2455 | { | |
2456 | return a / b; | |
2457 | } | |
2458 | ||
2459 | static double hard_f64_div(double a, double b) | |
2460 | { | |
2461 | return a / b; | |
2462 | } | |
2463 | ||
2464 | static bool f32_div_pre(union_float32 a, union_float32 b) | |
2465 | { | |
2466 | if (QEMU_HARDFLOAT_2F32_USE_FP) { | |
2467 | return (fpclassify(a.h) == FP_NORMAL || fpclassify(a.h) == FP_ZERO) && | |
2468 | fpclassify(b.h) == FP_NORMAL; | |
2469 | } | |
2470 | return float32_is_zero_or_normal(a.s) && float32_is_normal(b.s); | |
2471 | } | |
2472 | ||
2473 | static bool f64_div_pre(union_float64 a, union_float64 b) | |
2474 | { | |
2475 | if (QEMU_HARDFLOAT_2F64_USE_FP) { | |
2476 | return (fpclassify(a.h) == FP_NORMAL || fpclassify(a.h) == FP_ZERO) && | |
2477 | fpclassify(b.h) == FP_NORMAL; | |
2478 | } | |
2479 | return float64_is_zero_or_normal(a.s) && float64_is_normal(b.s); | |
2480 | } | |
2481 | ||
2482 | static bool f32_div_post(union_float32 a, union_float32 b) | |
2483 | { | |
2484 | if (QEMU_HARDFLOAT_2F32_USE_FP) { | |
2485 | return fpclassify(a.h) != FP_ZERO; | |
2486 | } | |
2487 | return !float32_is_zero(a.s); | |
2488 | } | |
2489 | ||
2490 | static bool f64_div_post(union_float64 a, union_float64 b) | |
2491 | { | |
2492 | if (QEMU_HARDFLOAT_2F64_USE_FP) { | |
2493 | return fpclassify(a.h) != FP_ZERO; | |
2494 | } | |
2495 | return !float64_is_zero(a.s); | |
2496 | } | |
2497 | ||
2498 | float32 QEMU_FLATTEN | |
2499 | float32_div(float32 a, float32 b, float_status *s) | |
2500 | { | |
2501 | return float32_gen2(a, b, s, hard_f32_div, soft_f32_div, | |
b240c9c4 | 2502 | f32_div_pre, f32_div_post); |
4a629561 EC |
2503 | } |
2504 | ||
2505 | float64 QEMU_FLATTEN | |
2506 | float64_div(float64 a, float64 b, float_status *s) | |
2507 | { | |
2508 | return float64_gen2(a, b, s, hard_f64_div, soft_f64_div, | |
b240c9c4 | 2509 | f64_div_pre, f64_div_post); |
4a629561 EC |
2510 | } |
2511 | ||
42636fb9 RH |
2512 | float64 float64r32_div(float64 a, float64 b, float_status *status) |
2513 | { | |
2514 | FloatParts64 pa, pb, *pr; | |
2515 | ||
2516 | float64_unpack_canonical(&pa, a, status); | |
2517 | float64_unpack_canonical(&pb, b, status); | |
2518 | pr = parts_div(&pa, &pb, status); | |
2519 | ||
2520 | return float64r32_round_pack_canonical(pr, status); | |
2521 | } | |
2522 | ||
ec961b81 RH |
2523 | bfloat16 QEMU_FLATTEN |
2524 | bfloat16_div(bfloat16 a, bfloat16 b, float_status *status) | |
8282310d | 2525 | { |
ec961b81 | 2526 | FloatParts64 pa, pb, *pr; |
98e256fc RH |
2527 | |
2528 | bfloat16_unpack_canonical(&pa, a, status); | |
2529 | bfloat16_unpack_canonical(&pb, b, status); | |
ec961b81 | 2530 | pr = parts_div(&pa, &pb, status); |
8282310d | 2531 | |
ec961b81 RH |
2532 | return bfloat16_round_pack_canonical(pr, status); |
2533 | } | |
2534 | ||
2535 | float128 QEMU_FLATTEN | |
2536 | float128_div(float128 a, float128 b, float_status *status) | |
2537 | { | |
2538 | FloatParts128 pa, pb, *pr; | |
2539 | ||
2540 | float128_unpack_canonical(&pa, a, status); | |
2541 | float128_unpack_canonical(&pb, b, status); | |
2542 | pr = parts_div(&pa, &pb, status); | |
2543 | ||
2544 | return float128_round_pack_canonical(pr, status); | |
8282310d LZ |
2545 | } |
2546 | ||
38db99e2 RH |
2547 | floatx80 floatx80_div(floatx80 a, floatx80 b, float_status *status) |
2548 | { | |
2549 | FloatParts128 pa, pb, *pr; | |
2550 | ||
2551 | if (!floatx80_unpack_canonical(&pa, a, status) || | |
2552 | !floatx80_unpack_canonical(&pb, b, status)) { | |
2553 | return floatx80_default_nan(status); | |
2554 | } | |
2555 | ||
2556 | pr = parts_div(&pa, &pb, status); | |
2557 | return floatx80_round_pack_canonical(pr, status); | |
2558 | } | |
2559 | ||
feaf2e9c RH |
2560 | /* |
2561 | * Remainder | |
2562 | */ | |
2563 | ||
2564 | float32 float32_rem(float32 a, float32 b, float_status *status) | |
2565 | { | |
2566 | FloatParts64 pa, pb, *pr; | |
2567 | ||
2568 | float32_unpack_canonical(&pa, a, status); | |
2569 | float32_unpack_canonical(&pb, b, status); | |
2570 | pr = parts_modrem(&pa, &pb, NULL, status); | |
2571 | ||
2572 | return float32_round_pack_canonical(pr, status); | |
2573 | } | |
2574 | ||
2575 | float64 float64_rem(float64 a, float64 b, float_status *status) | |
2576 | { | |
2577 | FloatParts64 pa, pb, *pr; | |
2578 | ||
2579 | float64_unpack_canonical(&pa, a, status); | |
2580 | float64_unpack_canonical(&pb, b, status); | |
2581 | pr = parts_modrem(&pa, &pb, NULL, status); | |
2582 | ||
2583 | return float64_round_pack_canonical(pr, status); | |
2584 | } | |
2585 | ||
2586 | float128 float128_rem(float128 a, float128 b, float_status *status) | |
2587 | { | |
2588 | FloatParts128 pa, pb, *pr; | |
2589 | ||
2590 | float128_unpack_canonical(&pa, a, status); | |
2591 | float128_unpack_canonical(&pb, b, status); | |
2592 | pr = parts_modrem(&pa, &pb, NULL, status); | |
2593 | ||
2594 | return float128_round_pack_canonical(pr, status); | |
2595 | } | |
2596 | ||
2597 | /* | |
2598 | * Returns the remainder of the extended double-precision floating-point value | |
2599 | * `a' with respect to the corresponding value `b'. | |
2600 | * If 'mod' is false, the operation is performed according to the IEC/IEEE | |
2601 | * Standard for Binary Floating-Point Arithmetic. If 'mod' is true, return | |
2602 | * the remainder based on truncating the quotient toward zero instead and | |
2603 | * *quotient is set to the low 64 bits of the absolute value of the integer | |
2604 | * quotient. | |
2605 | */ | |
2606 | floatx80 floatx80_modrem(floatx80 a, floatx80 b, bool mod, | |
2607 | uint64_t *quotient, float_status *status) | |
2608 | { | |
2609 | FloatParts128 pa, pb, *pr; | |
2610 | ||
2611 | *quotient = 0; | |
2612 | if (!floatx80_unpack_canonical(&pa, a, status) || | |
2613 | !floatx80_unpack_canonical(&pb, b, status)) { | |
2614 | return floatx80_default_nan(status); | |
2615 | } | |
2616 | pr = parts_modrem(&pa, &pb, mod ? quotient : NULL, status); | |
2617 | ||
2618 | return floatx80_round_pack_canonical(pr, status); | |
2619 | } | |
2620 | ||
2621 | floatx80 floatx80_rem(floatx80 a, floatx80 b, float_status *status) | |
2622 | { | |
2623 | uint64_t quotient; | |
2624 | return floatx80_modrem(a, b, false, "ient, status); | |
2625 | } | |
2626 | ||
2627 | floatx80 floatx80_mod(floatx80 a, floatx80 b, float_status *status) | |
2628 | { | |
2629 | uint64_t quotient; | |
2630 | return floatx80_modrem(a, b, true, "ient, status); | |
2631 | } | |
2632 | ||
6fed16b2 AB |
2633 | /* |
2634 | * Float to Float conversions | |
2635 | * | |
2636 | * Returns the result of converting one float format to another. The | |
2637 | * conversion is performed according to the IEC/IEEE Standard for | |
2638 | * Binary Floating-Point Arithmetic. | |
2639 | * | |
c3f1875e RH |
2640 | * Usually this only needs to take care of raising invalid exceptions |
2641 | * and handling the conversion on NaNs. | |
6fed16b2 AB |
2642 | */ |
2643 | ||
c3f1875e RH |
2644 | static void parts_float_to_ahp(FloatParts64 *a, float_status *s) |
2645 | { | |
2646 | switch (a->cls) { | |
c3f1875e | 2647 | case float_class_snan: |
e706d445 RH |
2648 | float_raise(float_flag_invalid_snan, s); |
2649 | /* fall through */ | |
2650 | case float_class_qnan: | |
c3f1875e RH |
2651 | /* |
2652 | * There is no NaN in the destination format. Raise Invalid | |
2653 | * and return a zero with the sign of the input NaN. | |
2654 | */ | |
2655 | float_raise(float_flag_invalid, s); | |
2656 | a->cls = float_class_zero; | |
2657 | break; | |
2658 | ||
2659 | case float_class_inf: | |
2660 | /* | |
2661 | * There is no Inf in the destination format. Raise Invalid | |
2662 | * and return the maximum normal with the correct sign. | |
2663 | */ | |
2664 | float_raise(float_flag_invalid, s); | |
2665 | a->cls = float_class_normal; | |
2666 | a->exp = float16_params_ahp.exp_max; | |
2667 | a->frac = MAKE_64BIT_MASK(float16_params_ahp.frac_shift, | |
2668 | float16_params_ahp.frac_size + 1); | |
2669 | break; | |
2670 | ||
2671 | case float_class_normal: | |
2672 | case float_class_zero: | |
2673 | break; | |
2674 | ||
2675 | default: | |
2676 | g_assert_not_reached(); | |
2677 | } | |
2678 | } | |
2679 | ||
2680 | static void parts64_float_to_float(FloatParts64 *a, float_status *s) | |
2681 | { | |
2682 | if (is_nan(a->cls)) { | |
2683 | parts_return_nan(a, s); | |
6fed16b2 | 2684 | } |
6fed16b2 AB |
2685 | } |
2686 | ||
c3f1875e RH |
2687 | static void parts128_float_to_float(FloatParts128 *a, float_status *s) |
2688 | { | |
2689 | if (is_nan(a->cls)) { | |
2690 | parts_return_nan(a, s); | |
2691 | } | |
2692 | } | |
2693 | ||
2694 | #define parts_float_to_float(P, S) \ | |
2695 | PARTS_GENERIC_64_128(float_to_float, P)(P, S) | |
2696 | ||
9882ccaf RH |
2697 | static void parts_float_to_float_narrow(FloatParts64 *a, FloatParts128 *b, |
2698 | float_status *s) | |
2699 | { | |
2700 | a->cls = b->cls; | |
2701 | a->sign = b->sign; | |
2702 | a->exp = b->exp; | |
2703 | ||
2704 | if (a->cls == float_class_normal) { | |
2705 | frac_truncjam(a, b); | |
2706 | } else if (is_nan(a->cls)) { | |
2707 | /* Discard the low bits of the NaN. */ | |
2708 | a->frac = b->frac_hi; | |
2709 | parts_return_nan(a, s); | |
2710 | } | |
2711 | } | |
2712 | ||
2713 | static void parts_float_to_float_widen(FloatParts128 *a, FloatParts64 *b, | |
2714 | float_status *s) | |
2715 | { | |
2716 | a->cls = b->cls; | |
2717 | a->sign = b->sign; | |
2718 | a->exp = b->exp; | |
2719 | frac_widen(a, b); | |
2720 | ||
2721 | if (is_nan(a->cls)) { | |
2722 | parts_return_nan(a, s); | |
2723 | } | |
2724 | } | |
2725 | ||
6fed16b2 AB |
2726 | float32 float16_to_float32(float16 a, bool ieee, float_status *s) |
2727 | { | |
2728 | const FloatFmt *fmt16 = ieee ? &float16_params : &float16_params_ahp; | |
c3f1875e | 2729 | FloatParts64 p; |
98e256fc | 2730 | |
c3f1875e RH |
2731 | float16a_unpack_canonical(&p, a, s, fmt16); |
2732 | parts_float_to_float(&p, s); | |
2733 | return float32_round_pack_canonical(&p, s); | |
6fed16b2 AB |
2734 | } |
2735 | ||
2736 | float64 float16_to_float64(float16 a, bool ieee, float_status *s) | |
2737 | { | |
2738 | const FloatFmt *fmt16 = ieee ? &float16_params : &float16_params_ahp; | |
c3f1875e | 2739 | FloatParts64 p; |
98e256fc | 2740 | |
c3f1875e RH |
2741 | float16a_unpack_canonical(&p, a, s, fmt16); |
2742 | parts_float_to_float(&p, s); | |
2743 | return float64_round_pack_canonical(&p, s); | |
6fed16b2 AB |
2744 | } |
2745 | ||
2746 | float16 float32_to_float16(float32 a, bool ieee, float_status *s) | |
2747 | { | |
c3f1875e RH |
2748 | FloatParts64 p; |
2749 | const FloatFmt *fmt; | |
98e256fc | 2750 | |
c3f1875e RH |
2751 | float32_unpack_canonical(&p, a, s); |
2752 | if (ieee) { | |
2753 | parts_float_to_float(&p, s); | |
2754 | fmt = &float16_params; | |
2755 | } else { | |
2756 | parts_float_to_ahp(&p, s); | |
2757 | fmt = &float16_params_ahp; | |
2758 | } | |
2759 | return float16a_round_pack_canonical(&p, s, fmt); | |
6fed16b2 AB |
2760 | } |
2761 | ||
21381dcf MK |
2762 | static float64 QEMU_SOFTFLOAT_ATTR |
2763 | soft_float32_to_float64(float32 a, float_status *s) | |
6fed16b2 | 2764 | { |
c3f1875e | 2765 | FloatParts64 p; |
98e256fc | 2766 | |
c3f1875e RH |
2767 | float32_unpack_canonical(&p, a, s); |
2768 | parts_float_to_float(&p, s); | |
2769 | return float64_round_pack_canonical(&p, s); | |
6fed16b2 AB |
2770 | } |
2771 | ||
21381dcf MK |
2772 | float64 float32_to_float64(float32 a, float_status *s) |
2773 | { | |
2774 | if (likely(float32_is_normal(a))) { | |
2775 | /* Widening conversion can never produce inexact results. */ | |
2776 | union_float32 uf; | |
2777 | union_float64 ud; | |
2778 | uf.s = a; | |
2779 | ud.h = uf.h; | |
2780 | return ud.s; | |
2781 | } else if (float32_is_zero(a)) { | |
2782 | return float64_set_sign(float64_zero, float32_is_neg(a)); | |
2783 | } else { | |
2784 | return soft_float32_to_float64(a, s); | |
2785 | } | |
2786 | } | |
2787 | ||
6fed16b2 AB |
2788 | float16 float64_to_float16(float64 a, bool ieee, float_status *s) |
2789 | { | |
c3f1875e RH |
2790 | FloatParts64 p; |
2791 | const FloatFmt *fmt; | |
98e256fc | 2792 | |
c3f1875e RH |
2793 | float64_unpack_canonical(&p, a, s); |
2794 | if (ieee) { | |
2795 | parts_float_to_float(&p, s); | |
2796 | fmt = &float16_params; | |
2797 | } else { | |
2798 | parts_float_to_ahp(&p, s); | |
2799 | fmt = &float16_params_ahp; | |
2800 | } | |
2801 | return float16a_round_pack_canonical(&p, s, fmt); | |
6fed16b2 AB |
2802 | } |
2803 | ||
2804 | float32 float64_to_float32(float64 a, float_status *s) | |
2805 | { | |
c3f1875e | 2806 | FloatParts64 p; |
98e256fc | 2807 | |
c3f1875e RH |
2808 | float64_unpack_canonical(&p, a, s); |
2809 | parts_float_to_float(&p, s); | |
2810 | return float32_round_pack_canonical(&p, s); | |
6fed16b2 AB |
2811 | } |
2812 | ||
34f0c0a9 LZ |
2813 | float32 bfloat16_to_float32(bfloat16 a, float_status *s) |
2814 | { | |
c3f1875e | 2815 | FloatParts64 p; |
98e256fc | 2816 | |
c3f1875e RH |
2817 | bfloat16_unpack_canonical(&p, a, s); |
2818 | parts_float_to_float(&p, s); | |
2819 | return float32_round_pack_canonical(&p, s); | |
34f0c0a9 LZ |
2820 | } |
2821 | ||
2822 | float64 bfloat16_to_float64(bfloat16 a, float_status *s) | |
2823 | { | |
c3f1875e | 2824 | FloatParts64 p; |
98e256fc | 2825 | |
c3f1875e RH |
2826 | bfloat16_unpack_canonical(&p, a, s); |
2827 | parts_float_to_float(&p, s); | |
2828 | return float64_round_pack_canonical(&p, s); | |
34f0c0a9 LZ |
2829 | } |
2830 | ||
2831 | bfloat16 float32_to_bfloat16(float32 a, float_status *s) | |
2832 | { | |
c3f1875e | 2833 | FloatParts64 p; |
98e256fc | 2834 | |
c3f1875e RH |
2835 | float32_unpack_canonical(&p, a, s); |
2836 | parts_float_to_float(&p, s); | |
2837 | return bfloat16_round_pack_canonical(&p, s); | |
34f0c0a9 LZ |
2838 | } |
2839 | ||
2840 | bfloat16 float64_to_bfloat16(float64 a, float_status *s) | |
2841 | { | |
c3f1875e | 2842 | FloatParts64 p; |
98e256fc | 2843 | |
c3f1875e RH |
2844 | float64_unpack_canonical(&p, a, s); |
2845 | parts_float_to_float(&p, s); | |
2846 | return bfloat16_round_pack_canonical(&p, s); | |
34f0c0a9 LZ |
2847 | } |
2848 | ||
9882ccaf RH |
2849 | float32 float128_to_float32(float128 a, float_status *s) |
2850 | { | |
2851 | FloatParts64 p64; | |
2852 | FloatParts128 p128; | |
2853 | ||
2854 | float128_unpack_canonical(&p128, a, s); | |
2855 | parts_float_to_float_narrow(&p64, &p128, s); | |
2856 | return float32_round_pack_canonical(&p64, s); | |
2857 | } | |
2858 | ||
2859 | float64 float128_to_float64(float128 a, float_status *s) | |
2860 | { | |
2861 | FloatParts64 p64; | |
2862 | FloatParts128 p128; | |
2863 | ||
2864 | float128_unpack_canonical(&p128, a, s); | |
2865 | parts_float_to_float_narrow(&p64, &p128, s); | |
2866 | return float64_round_pack_canonical(&p64, s); | |
2867 | } | |
2868 | ||
2869 | float128 float32_to_float128(float32 a, float_status *s) | |
2870 | { | |
2871 | FloatParts64 p64; | |
2872 | FloatParts128 p128; | |
2873 | ||
2874 | float32_unpack_canonical(&p64, a, s); | |
2875 | parts_float_to_float_widen(&p128, &p64, s); | |
2876 | return float128_round_pack_canonical(&p128, s); | |
2877 | } | |
2878 | ||
2879 | float128 float64_to_float128(float64 a, float_status *s) | |
2880 | { | |
2881 | FloatParts64 p64; | |
2882 | FloatParts128 p128; | |
2883 | ||
2884 | float64_unpack_canonical(&p64, a, s); | |
2885 | parts_float_to_float_widen(&p128, &p64, s); | |
2886 | return float128_round_pack_canonical(&p128, s); | |
2887 | } | |
2888 | ||
8ae5719c RH |
2889 | float32 floatx80_to_float32(floatx80 a, float_status *s) |
2890 | { | |
2891 | FloatParts64 p64; | |
2892 | FloatParts128 p128; | |
2893 | ||
2894 | if (floatx80_unpack_canonical(&p128, a, s)) { | |
2895 | parts_float_to_float_narrow(&p64, &p128, s); | |
2896 | } else { | |
2897 | parts_default_nan(&p64, s); | |
2898 | } | |
2899 | return float32_round_pack_canonical(&p64, s); | |
2900 | } | |
2901 | ||
2902 | float64 floatx80_to_float64(floatx80 a, float_status *s) | |
2903 | { | |
2904 | FloatParts64 p64; | |
2905 | FloatParts128 p128; | |
2906 | ||
2907 | if (floatx80_unpack_canonical(&p128, a, s)) { | |
2908 | parts_float_to_float_narrow(&p64, &p128, s); | |
2909 | } else { | |
2910 | parts_default_nan(&p64, s); | |
2911 | } | |
2912 | return float64_round_pack_canonical(&p64, s); | |
2913 | } | |
2914 | ||
2915 | float128 floatx80_to_float128(floatx80 a, float_status *s) | |
2916 | { | |
2917 | FloatParts128 p; | |
2918 | ||
2919 | if (floatx80_unpack_canonical(&p, a, s)) { | |
2920 | parts_float_to_float(&p, s); | |
2921 | } else { | |
2922 | parts_default_nan(&p, s); | |
2923 | } | |
2924 | return float128_round_pack_canonical(&p, s); | |
2925 | } | |
2926 | ||
2927 | floatx80 float32_to_floatx80(float32 a, float_status *s) | |
2928 | { | |
2929 | FloatParts64 p64; | |
2930 | FloatParts128 p128; | |
2931 | ||
2932 | float32_unpack_canonical(&p64, a, s); | |
2933 | parts_float_to_float_widen(&p128, &p64, s); | |
2934 | return floatx80_round_pack_canonical(&p128, s); | |
2935 | } | |
2936 | ||
2937 | floatx80 float64_to_floatx80(float64 a, float_status *s) | |
2938 | { | |
2939 | FloatParts64 p64; | |
2940 | FloatParts128 p128; | |
2941 | ||
2942 | float64_unpack_canonical(&p64, a, s); | |
2943 | parts_float_to_float_widen(&p128, &p64, s); | |
2944 | return floatx80_round_pack_canonical(&p128, s); | |
2945 | } | |
2946 | ||
2947 | floatx80 float128_to_floatx80(float128 a, float_status *s) | |
2948 | { | |
2949 | FloatParts128 p; | |
2950 | ||
2951 | float128_unpack_canonical(&p, a, s); | |
2952 | parts_float_to_float(&p, s); | |
2953 | return floatx80_round_pack_canonical(&p, s); | |
2954 | } | |
2955 | ||
dbe4d53a | 2956 | /* |
afc34931 | 2957 | * Round to integral value |
dbe4d53a AB |
2958 | */ |
2959 | ||
dbe4d53a AB |
2960 | float16 float16_round_to_int(float16 a, float_status *s) |
2961 | { | |
afc34931 | 2962 | FloatParts64 p; |
98e256fc | 2963 | |
afc34931 RH |
2964 | float16_unpack_canonical(&p, a, s); |
2965 | parts_round_to_int(&p, s->float_rounding_mode, 0, s, &float16_params); | |
2966 | return float16_round_pack_canonical(&p, s); | |
dbe4d53a AB |
2967 | } |
2968 | ||
2969 | float32 float32_round_to_int(float32 a, float_status *s) | |
2970 | { | |
afc34931 | 2971 | FloatParts64 p; |
98e256fc | 2972 | |
afc34931 RH |
2973 | float32_unpack_canonical(&p, a, s); |
2974 | parts_round_to_int(&p, s->float_rounding_mode, 0, s, &float32_params); | |
2975 | return float32_round_pack_canonical(&p, s); | |
dbe4d53a AB |
2976 | } |
2977 | ||
2978 | float64 float64_round_to_int(float64 a, float_status *s) | |
2979 | { | |
afc34931 | 2980 | FloatParts64 p; |
98e256fc | 2981 | |
afc34931 RH |
2982 | float64_unpack_canonical(&p, a, s); |
2983 | parts_round_to_int(&p, s->float_rounding_mode, 0, s, &float64_params); | |
2984 | return float64_round_pack_canonical(&p, s); | |
dbe4d53a AB |
2985 | } |
2986 | ||
34f0c0a9 LZ |
2987 | bfloat16 bfloat16_round_to_int(bfloat16 a, float_status *s) |
2988 | { | |
afc34931 | 2989 | FloatParts64 p; |
98e256fc | 2990 | |
afc34931 RH |
2991 | bfloat16_unpack_canonical(&p, a, s); |
2992 | parts_round_to_int(&p, s->float_rounding_mode, 0, s, &bfloat16_params); | |
2993 | return bfloat16_round_pack_canonical(&p, s); | |
2994 | } | |
2995 | ||
2996 | float128 float128_round_to_int(float128 a, float_status *s) | |
2997 | { | |
2998 | FloatParts128 p; | |
2999 | ||
3000 | float128_unpack_canonical(&p, a, s); | |
3001 | parts_round_to_int(&p, s->float_rounding_mode, 0, s, &float128_params); | |
3002 | return float128_round_pack_canonical(&p, s); | |
34f0c0a9 LZ |
3003 | } |
3004 | ||
f9a95a78 RH |
3005 | floatx80 floatx80_round_to_int(floatx80 a, float_status *status) |
3006 | { | |
3007 | FloatParts128 p; | |
3008 | ||
3009 | if (!floatx80_unpack_canonical(&p, a, status)) { | |
3010 | return floatx80_default_nan(status); | |
3011 | } | |
3012 | ||
3013 | parts_round_to_int(&p, status->float_rounding_mode, 0, status, | |
3014 | &floatx80_params[status->floatx80_rounding_precision]); | |
3015 | return floatx80_round_pack_canonical(&p, status); | |
3016 | } | |
3017 | ||
ab52f973 | 3018 | /* |
463b3f0d RH |
3019 | * Floating-point to signed integer conversions |
3020 | */ | |
ab52f973 | 3021 | |
0d93d8ec FC |
3022 | int8_t float16_to_int8_scalbn(float16 a, FloatRoundMode rmode, int scale, |
3023 | float_status *s) | |
3024 | { | |
98e256fc RH |
3025 | FloatParts64 p; |
3026 | ||
3027 | float16_unpack_canonical(&p, a, s); | |
463b3f0d | 3028 | return parts_float_to_sint(&p, rmode, scale, INT8_MIN, INT8_MAX, s); |
0d93d8ec FC |
3029 | } |
3030 | ||
3dede407 | 3031 | int16_t float16_to_int16_scalbn(float16 a, FloatRoundMode rmode, int scale, |
2f6c74be RH |
3032 | float_status *s) |
3033 | { | |
98e256fc RH |
3034 | FloatParts64 p; |
3035 | ||
3036 | float16_unpack_canonical(&p, a, s); | |
463b3f0d | 3037 | return parts_float_to_sint(&p, rmode, scale, INT16_MIN, INT16_MAX, s); |
2f6c74be RH |
3038 | } |
3039 | ||
3dede407 | 3040 | int32_t float16_to_int32_scalbn(float16 a, FloatRoundMode rmode, int scale, |
2f6c74be RH |
3041 | float_status *s) |
3042 | { | |
98e256fc RH |
3043 | FloatParts64 p; |
3044 | ||
3045 | float16_unpack_canonical(&p, a, s); | |
463b3f0d | 3046 | return parts_float_to_sint(&p, rmode, scale, INT32_MIN, INT32_MAX, s); |
2f6c74be RH |
3047 | } |
3048 | ||
3dede407 | 3049 | int64_t float16_to_int64_scalbn(float16 a, FloatRoundMode rmode, int scale, |
2f6c74be RH |
3050 | float_status *s) |
3051 | { | |
98e256fc RH |
3052 | FloatParts64 p; |
3053 | ||
3054 | float16_unpack_canonical(&p, a, s); | |
463b3f0d | 3055 | return parts_float_to_sint(&p, rmode, scale, INT64_MIN, INT64_MAX, s); |
2f6c74be RH |
3056 | } |
3057 | ||
3dede407 | 3058 | int16_t float32_to_int16_scalbn(float32 a, FloatRoundMode rmode, int scale, |
2f6c74be RH |
3059 | float_status *s) |
3060 | { | |
98e256fc RH |
3061 | FloatParts64 p; |
3062 | ||
3063 | float32_unpack_canonical(&p, a, s); | |
463b3f0d | 3064 | return parts_float_to_sint(&p, rmode, scale, INT16_MIN, INT16_MAX, s); |
2f6c74be RH |
3065 | } |
3066 | ||
3dede407 | 3067 | int32_t float32_to_int32_scalbn(float32 a, FloatRoundMode rmode, int scale, |
2f6c74be RH |
3068 | float_status *s) |
3069 | { | |
98e256fc RH |
3070 | FloatParts64 p; |
3071 | ||
3072 | float32_unpack_canonical(&p, a, s); | |
463b3f0d | 3073 | return parts_float_to_sint(&p, rmode, scale, INT32_MIN, INT32_MAX, s); |
2f6c74be RH |
3074 | } |
3075 | ||
3dede407 | 3076 | int64_t float32_to_int64_scalbn(float32 a, FloatRoundMode rmode, int scale, |
2f6c74be RH |
3077 | float_status *s) |
3078 | { | |
98e256fc RH |
3079 | FloatParts64 p; |
3080 | ||
3081 | float32_unpack_canonical(&p, a, s); | |
463b3f0d | 3082 | return parts_float_to_sint(&p, rmode, scale, INT64_MIN, INT64_MAX, s); |
2f6c74be RH |
3083 | } |
3084 | ||
3dede407 | 3085 | int16_t float64_to_int16_scalbn(float64 a, FloatRoundMode rmode, int scale, |
2f6c74be RH |
3086 | float_status *s) |
3087 | { | |
98e256fc RH |
3088 | FloatParts64 p; |
3089 | ||
3090 | float64_unpack_canonical(&p, a, s); | |
463b3f0d | 3091 | return parts_float_to_sint(&p, rmode, scale, INT16_MIN, INT16_MAX, s); |
2f6c74be RH |
3092 | } |
3093 | ||
3dede407 | 3094 | int32_t float64_to_int32_scalbn(float64 a, FloatRoundMode rmode, int scale, |
2f6c74be RH |
3095 | float_status *s) |
3096 | { | |
98e256fc RH |
3097 | FloatParts64 p; |
3098 | ||
3099 | float64_unpack_canonical(&p, a, s); | |
463b3f0d | 3100 | return parts_float_to_sint(&p, rmode, scale, INT32_MIN, INT32_MAX, s); |
2f6c74be RH |
3101 | } |
3102 | ||
3dede407 | 3103 | int64_t float64_to_int64_scalbn(float64 a, FloatRoundMode rmode, int scale, |
2f6c74be RH |
3104 | float_status *s) |
3105 | { | |
98e256fc RH |
3106 | FloatParts64 p; |
3107 | ||
3108 | float64_unpack_canonical(&p, a, s); | |
463b3f0d RH |
3109 | return parts_float_to_sint(&p, rmode, scale, INT64_MIN, INT64_MAX, s); |
3110 | } | |
3111 | ||
3112 | int16_t bfloat16_to_int16_scalbn(bfloat16 a, FloatRoundMode rmode, int scale, | |
3113 | float_status *s) | |
3114 | { | |
3115 | FloatParts64 p; | |
3116 | ||
3117 | bfloat16_unpack_canonical(&p, a, s); | |
3118 | return parts_float_to_sint(&p, rmode, scale, INT16_MIN, INT16_MAX, s); | |
3119 | } | |
3120 | ||
3121 | int32_t bfloat16_to_int32_scalbn(bfloat16 a, FloatRoundMode rmode, int scale, | |
3122 | float_status *s) | |
3123 | { | |
3124 | FloatParts64 p; | |
3125 | ||
3126 | bfloat16_unpack_canonical(&p, a, s); | |
3127 | return parts_float_to_sint(&p, rmode, scale, INT32_MIN, INT32_MAX, s); | |
3128 | } | |
3129 | ||
3130 | int64_t bfloat16_to_int64_scalbn(bfloat16 a, FloatRoundMode rmode, int scale, | |
3131 | float_status *s) | |
3132 | { | |
3133 | FloatParts64 p; | |
3134 | ||
3135 | bfloat16_unpack_canonical(&p, a, s); | |
3136 | return parts_float_to_sint(&p, rmode, scale, INT64_MIN, INT64_MAX, s); | |
3137 | } | |
3138 | ||
3139 | static int32_t float128_to_int32_scalbn(float128 a, FloatRoundMode rmode, | |
3140 | int scale, float_status *s) | |
3141 | { | |
3142 | FloatParts128 p; | |
3143 | ||
3144 | float128_unpack_canonical(&p, a, s); | |
3145 | return parts_float_to_sint(&p, rmode, scale, INT32_MIN, INT32_MAX, s); | |
3146 | } | |
3147 | ||
3148 | static int64_t float128_to_int64_scalbn(float128 a, FloatRoundMode rmode, | |
3149 | int scale, float_status *s) | |
3150 | { | |
3151 | FloatParts128 p; | |
3152 | ||
3153 | float128_unpack_canonical(&p, a, s); | |
3154 | return parts_float_to_sint(&p, rmode, scale, INT64_MIN, INT64_MAX, s); | |
2f6c74be RH |
3155 | } |
3156 | ||
a1fc527b RH |
3157 | static int32_t floatx80_to_int32_scalbn(floatx80 a, FloatRoundMode rmode, |
3158 | int scale, float_status *s) | |
3159 | { | |
3160 | FloatParts128 p; | |
3161 | ||
3162 | if (!floatx80_unpack_canonical(&p, a, s)) { | |
3163 | parts_default_nan(&p, s); | |
3164 | } | |
3165 | return parts_float_to_sint(&p, rmode, scale, INT32_MIN, INT32_MAX, s); | |
3166 | } | |
3167 | ||
3168 | static int64_t floatx80_to_int64_scalbn(floatx80 a, FloatRoundMode rmode, | |
3169 | int scale, float_status *s) | |
3170 | { | |
3171 | FloatParts128 p; | |
3172 | ||
3173 | if (!floatx80_unpack_canonical(&p, a, s)) { | |
3174 | parts_default_nan(&p, s); | |
3175 | } | |
3176 | return parts_float_to_sint(&p, rmode, scale, INT64_MIN, INT64_MAX, s); | |
3177 | } | |
3178 | ||
0d93d8ec FC |
3179 | int8_t float16_to_int8(float16 a, float_status *s) |
3180 | { | |
3181 | return float16_to_int8_scalbn(a, s->float_rounding_mode, 0, s); | |
3182 | } | |
3183 | ||
2f6c74be RH |
3184 | int16_t float16_to_int16(float16 a, float_status *s) |
3185 | { | |
3186 | return float16_to_int16_scalbn(a, s->float_rounding_mode, 0, s); | |
3187 | } | |
3188 | ||
3189 | int32_t float16_to_int32(float16 a, float_status *s) | |
3190 | { | |
3191 | return float16_to_int32_scalbn(a, s->float_rounding_mode, 0, s); | |
3192 | } | |
3193 | ||
3194 | int64_t float16_to_int64(float16 a, float_status *s) | |
3195 | { | |
3196 | return float16_to_int64_scalbn(a, s->float_rounding_mode, 0, s); | |
3197 | } | |
3198 | ||
3199 | int16_t float32_to_int16(float32 a, float_status *s) | |
3200 | { | |
3201 | return float32_to_int16_scalbn(a, s->float_rounding_mode, 0, s); | |
3202 | } | |
3203 | ||
3204 | int32_t float32_to_int32(float32 a, float_status *s) | |
3205 | { | |
3206 | return float32_to_int32_scalbn(a, s->float_rounding_mode, 0, s); | |
3207 | } | |
3208 | ||
3209 | int64_t float32_to_int64(float32 a, float_status *s) | |
3210 | { | |
3211 | return float32_to_int64_scalbn(a, s->float_rounding_mode, 0, s); | |
3212 | } | |
3213 | ||
3214 | int16_t float64_to_int16(float64 a, float_status *s) | |
3215 | { | |
3216 | return float64_to_int16_scalbn(a, s->float_rounding_mode, 0, s); | |
3217 | } | |
3218 | ||
3219 | int32_t float64_to_int32(float64 a, float_status *s) | |
3220 | { | |
3221 | return float64_to_int32_scalbn(a, s->float_rounding_mode, 0, s); | |
3222 | } | |
3223 | ||
3224 | int64_t float64_to_int64(float64 a, float_status *s) | |
3225 | { | |
3226 | return float64_to_int64_scalbn(a, s->float_rounding_mode, 0, s); | |
3227 | } | |
3228 | ||
463b3f0d RH |
3229 | int32_t float128_to_int32(float128 a, float_status *s) |
3230 | { | |
3231 | return float128_to_int32_scalbn(a, s->float_rounding_mode, 0, s); | |
3232 | } | |
3233 | ||
3234 | int64_t float128_to_int64(float128 a, float_status *s) | |
3235 | { | |
3236 | return float128_to_int64_scalbn(a, s->float_rounding_mode, 0, s); | |
3237 | } | |
3238 | ||
a1fc527b RH |
3239 | int32_t floatx80_to_int32(floatx80 a, float_status *s) |
3240 | { | |
3241 | return floatx80_to_int32_scalbn(a, s->float_rounding_mode, 0, s); | |
3242 | } | |
3243 | ||
3244 | int64_t floatx80_to_int64(floatx80 a, float_status *s) | |
3245 | { | |
3246 | return floatx80_to_int64_scalbn(a, s->float_rounding_mode, 0, s); | |
3247 | } | |
3248 | ||
2f6c74be RH |
3249 | int16_t float16_to_int16_round_to_zero(float16 a, float_status *s) |
3250 | { | |
3251 | return float16_to_int16_scalbn(a, float_round_to_zero, 0, s); | |
3252 | } | |
3253 | ||
3254 | int32_t float16_to_int32_round_to_zero(float16 a, float_status *s) | |
3255 | { | |
3256 | return float16_to_int32_scalbn(a, float_round_to_zero, 0, s); | |
3257 | } | |
3258 | ||
3259 | int64_t float16_to_int64_round_to_zero(float16 a, float_status *s) | |
3260 | { | |
3261 | return float16_to_int64_scalbn(a, float_round_to_zero, 0, s); | |
ab52f973 AB |
3262 | } |
3263 | ||
2f6c74be RH |
3264 | int16_t float32_to_int16_round_to_zero(float32 a, float_status *s) |
3265 | { | |
3266 | return float32_to_int16_scalbn(a, float_round_to_zero, 0, s); | |
3267 | } | |
ab52f973 | 3268 | |
2f6c74be RH |
3269 | int32_t float32_to_int32_round_to_zero(float32 a, float_status *s) |
3270 | { | |
3271 | return float32_to_int32_scalbn(a, float_round_to_zero, 0, s); | |
3272 | } | |
3273 | ||
3274 | int64_t float32_to_int64_round_to_zero(float32 a, float_status *s) | |
3275 | { | |
3276 | return float32_to_int64_scalbn(a, float_round_to_zero, 0, s); | |
3277 | } | |
3278 | ||
3279 | int16_t float64_to_int16_round_to_zero(float64 a, float_status *s) | |
3280 | { | |
3281 | return float64_to_int16_scalbn(a, float_round_to_zero, 0, s); | |
3282 | } | |
ab52f973 | 3283 | |
2f6c74be RH |
3284 | int32_t float64_to_int32_round_to_zero(float64 a, float_status *s) |
3285 | { | |
3286 | return float64_to_int32_scalbn(a, float_round_to_zero, 0, s); | |
3287 | } | |
ab52f973 | 3288 | |
2f6c74be RH |
3289 | int64_t float64_to_int64_round_to_zero(float64 a, float_status *s) |
3290 | { | |
3291 | return float64_to_int64_scalbn(a, float_round_to_zero, 0, s); | |
3292 | } | |
ab52f973 | 3293 | |
463b3f0d | 3294 | int32_t float128_to_int32_round_to_zero(float128 a, float_status *s) |
34f0c0a9 | 3295 | { |
463b3f0d | 3296 | return float128_to_int32_scalbn(a, float_round_to_zero, 0, s); |
34f0c0a9 LZ |
3297 | } |
3298 | ||
463b3f0d | 3299 | int64_t float128_to_int64_round_to_zero(float128 a, float_status *s) |
34f0c0a9 | 3300 | { |
463b3f0d | 3301 | return float128_to_int64_scalbn(a, float_round_to_zero, 0, s); |
34f0c0a9 LZ |
3302 | } |
3303 | ||
a1fc527b RH |
3304 | int32_t floatx80_to_int32_round_to_zero(floatx80 a, float_status *s) |
3305 | { | |
3306 | return floatx80_to_int32_scalbn(a, float_round_to_zero, 0, s); | |
3307 | } | |
3308 | ||
3309 | int64_t floatx80_to_int64_round_to_zero(floatx80 a, float_status *s) | |
3310 | { | |
3311 | return floatx80_to_int64_scalbn(a, float_round_to_zero, 0, s); | |
3312 | } | |
3313 | ||
34f0c0a9 LZ |
3314 | int16_t bfloat16_to_int16(bfloat16 a, float_status *s) |
3315 | { | |
3316 | return bfloat16_to_int16_scalbn(a, s->float_rounding_mode, 0, s); | |
3317 | } | |
3318 | ||
3319 | int32_t bfloat16_to_int32(bfloat16 a, float_status *s) | |
3320 | { | |
3321 | return bfloat16_to_int32_scalbn(a, s->float_rounding_mode, 0, s); | |
3322 | } | |
3323 | ||
3324 | int64_t bfloat16_to_int64(bfloat16 a, float_status *s) | |
3325 | { | |
3326 | return bfloat16_to_int64_scalbn(a, s->float_rounding_mode, 0, s); | |
3327 | } | |
3328 | ||
3329 | int16_t bfloat16_to_int16_round_to_zero(bfloat16 a, float_status *s) | |
3330 | { | |
3331 | return bfloat16_to_int16_scalbn(a, float_round_to_zero, 0, s); | |
3332 | } | |
3333 | ||
3334 | int32_t bfloat16_to_int32_round_to_zero(bfloat16 a, float_status *s) | |
3335 | { | |
3336 | return bfloat16_to_int32_scalbn(a, float_round_to_zero, 0, s); | |
3337 | } | |
3338 | ||
3339 | int64_t bfloat16_to_int64_round_to_zero(bfloat16 a, float_status *s) | |
3340 | { | |
3341 | return bfloat16_to_int64_scalbn(a, float_round_to_zero, 0, s); | |
3342 | } | |
3343 | ||
ab52f973 | 3344 | /* |
4ab4aef0 | 3345 | * Floating-point to unsigned integer conversions |
ab52f973 AB |
3346 | */ |
3347 | ||
0d93d8ec FC |
3348 | uint8_t float16_to_uint8_scalbn(float16 a, FloatRoundMode rmode, int scale, |
3349 | float_status *s) | |
3350 | { | |
98e256fc RH |
3351 | FloatParts64 p; |
3352 | ||
3353 | float16_unpack_canonical(&p, a, s); | |
4ab4aef0 | 3354 | return parts_float_to_uint(&p, rmode, scale, UINT8_MAX, s); |
0d93d8ec FC |
3355 | } |
3356 | ||
3dede407 | 3357 | uint16_t float16_to_uint16_scalbn(float16 a, FloatRoundMode rmode, int scale, |
2f6c74be RH |
3358 | float_status *s) |
3359 | { | |
98e256fc RH |
3360 | FloatParts64 p; |
3361 | ||
3362 | float16_unpack_canonical(&p, a, s); | |
4ab4aef0 | 3363 | return parts_float_to_uint(&p, rmode, scale, UINT16_MAX, s); |
2f6c74be RH |
3364 | } |
3365 | ||
3dede407 | 3366 | uint32_t float16_to_uint32_scalbn(float16 a, FloatRoundMode rmode, int scale, |
2f6c74be RH |
3367 | float_status *s) |
3368 | { | |
98e256fc RH |
3369 | FloatParts64 p; |
3370 | ||
3371 | float16_unpack_canonical(&p, a, s); | |
4ab4aef0 | 3372 | return parts_float_to_uint(&p, rmode, scale, UINT32_MAX, s); |
2f6c74be RH |
3373 | } |
3374 | ||
3dede407 | 3375 | uint64_t float16_to_uint64_scalbn(float16 a, FloatRoundMode rmode, int scale, |
2f6c74be RH |
3376 | float_status *s) |
3377 | { | |
98e256fc RH |
3378 | FloatParts64 p; |
3379 | ||
3380 | float16_unpack_canonical(&p, a, s); | |
4ab4aef0 | 3381 | return parts_float_to_uint(&p, rmode, scale, UINT64_MAX, s); |
2f6c74be RH |
3382 | } |
3383 | ||
3dede407 | 3384 | uint16_t float32_to_uint16_scalbn(float32 a, FloatRoundMode rmode, int scale, |
2f6c74be RH |
3385 | float_status *s) |
3386 | { | |
98e256fc RH |
3387 | FloatParts64 p; |
3388 | ||
3389 | float32_unpack_canonical(&p, a, s); | |
4ab4aef0 | 3390 | return parts_float_to_uint(&p, rmode, scale, UINT16_MAX, s); |
2f6c74be RH |
3391 | } |
3392 | ||
3dede407 | 3393 | uint32_t float32_to_uint32_scalbn(float32 a, FloatRoundMode rmode, int scale, |
2f6c74be RH |
3394 | float_status *s) |
3395 | { | |
98e256fc RH |
3396 | FloatParts64 p; |
3397 | ||
3398 | float32_unpack_canonical(&p, a, s); | |
4ab4aef0 | 3399 | return parts_float_to_uint(&p, rmode, scale, UINT32_MAX, s); |
2f6c74be RH |
3400 | } |
3401 | ||
3dede407 | 3402 | uint64_t float32_to_uint64_scalbn(float32 a, FloatRoundMode rmode, int scale, |
2f6c74be RH |
3403 | float_status *s) |
3404 | { | |
98e256fc RH |
3405 | FloatParts64 p; |
3406 | ||
3407 | float32_unpack_canonical(&p, a, s); | |
4ab4aef0 | 3408 | return parts_float_to_uint(&p, rmode, scale, UINT64_MAX, s); |
2f6c74be RH |
3409 | } |
3410 | ||
3dede407 | 3411 | uint16_t float64_to_uint16_scalbn(float64 a, FloatRoundMode rmode, int scale, |
2f6c74be RH |
3412 | float_status *s) |
3413 | { | |
98e256fc RH |
3414 | FloatParts64 p; |
3415 | ||
3416 | float64_unpack_canonical(&p, a, s); | |
4ab4aef0 | 3417 | return parts_float_to_uint(&p, rmode, scale, UINT16_MAX, s); |
2f6c74be RH |
3418 | } |
3419 | ||
3dede407 | 3420 | uint32_t float64_to_uint32_scalbn(float64 a, FloatRoundMode rmode, int scale, |
2f6c74be RH |
3421 | float_status *s) |
3422 | { | |
98e256fc RH |
3423 | FloatParts64 p; |
3424 | ||
3425 | float64_unpack_canonical(&p, a, s); | |
4ab4aef0 | 3426 | return parts_float_to_uint(&p, rmode, scale, UINT32_MAX, s); |
2f6c74be RH |
3427 | } |
3428 | ||
3dede407 | 3429 | uint64_t float64_to_uint64_scalbn(float64 a, FloatRoundMode rmode, int scale, |
2f6c74be RH |
3430 | float_status *s) |
3431 | { | |
98e256fc RH |
3432 | FloatParts64 p; |
3433 | ||
3434 | float64_unpack_canonical(&p, a, s); | |
4ab4aef0 RH |
3435 | return parts_float_to_uint(&p, rmode, scale, UINT64_MAX, s); |
3436 | } | |
3437 | ||
3438 | uint16_t bfloat16_to_uint16_scalbn(bfloat16 a, FloatRoundMode rmode, | |
3439 | int scale, float_status *s) | |
3440 | { | |
3441 | FloatParts64 p; | |
3442 | ||
3443 | bfloat16_unpack_canonical(&p, a, s); | |
3444 | return parts_float_to_uint(&p, rmode, scale, UINT16_MAX, s); | |
3445 | } | |
3446 | ||
3447 | uint32_t bfloat16_to_uint32_scalbn(bfloat16 a, FloatRoundMode rmode, | |
3448 | int scale, float_status *s) | |
3449 | { | |
3450 | FloatParts64 p; | |
3451 | ||
3452 | bfloat16_unpack_canonical(&p, a, s); | |
3453 | return parts_float_to_uint(&p, rmode, scale, UINT32_MAX, s); | |
3454 | } | |
3455 | ||
3456 | uint64_t bfloat16_to_uint64_scalbn(bfloat16 a, FloatRoundMode rmode, | |
3457 | int scale, float_status *s) | |
3458 | { | |
3459 | FloatParts64 p; | |
3460 | ||
3461 | bfloat16_unpack_canonical(&p, a, s); | |
3462 | return parts_float_to_uint(&p, rmode, scale, UINT64_MAX, s); | |
3463 | } | |
3464 | ||
3465 | static uint32_t float128_to_uint32_scalbn(float128 a, FloatRoundMode rmode, | |
3466 | int scale, float_status *s) | |
3467 | { | |
3468 | FloatParts128 p; | |
3469 | ||
3470 | float128_unpack_canonical(&p, a, s); | |
3471 | return parts_float_to_uint(&p, rmode, scale, UINT32_MAX, s); | |
3472 | } | |
3473 | ||
3474 | static uint64_t float128_to_uint64_scalbn(float128 a, FloatRoundMode rmode, | |
3475 | int scale, float_status *s) | |
3476 | { | |
3477 | FloatParts128 p; | |
3478 | ||
3479 | float128_unpack_canonical(&p, a, s); | |
3480 | return parts_float_to_uint(&p, rmode, scale, UINT64_MAX, s); | |
2f6c74be RH |
3481 | } |
3482 | ||
4de49ddf MF |
3483 | static Int128 float128_to_uint128_scalbn(float128 a, FloatRoundMode rmode, |
3484 | int scale, float_status *s) | |
3485 | { | |
3486 | int flags = 0; | |
3487 | Int128 r; | |
3488 | FloatParts128 p; | |
3489 | ||
3490 | float128_unpack_canonical(&p, a, s); | |
3491 | ||
3492 | switch (p.cls) { | |
3493 | case float_class_snan: | |
3494 | flags |= float_flag_invalid_snan; | |
3495 | /* fall through */ | |
3496 | case float_class_qnan: | |
3497 | flags |= float_flag_invalid; | |
3498 | r = UINT128_MAX; | |
3499 | break; | |
3500 | ||
3501 | case float_class_inf: | |
3502 | flags = float_flag_invalid | float_flag_invalid_cvti; | |
3503 | r = p.sign ? int128_zero() : UINT128_MAX; | |
3504 | break; | |
3505 | ||
3506 | case float_class_zero: | |
3507 | return int128_zero(); | |
3508 | ||
3509 | case float_class_normal: | |
3510 | if (parts_round_to_int_normal(&p, rmode, scale, 128 - 2)) { | |
3511 | flags = float_flag_inexact; | |
3512 | if (p.cls == float_class_zero) { | |
3513 | r = int128_zero(); | |
3514 | break; | |
3515 | } | |
3516 | } | |
3517 | ||
3518 | if (p.sign) { | |
3519 | flags = float_flag_invalid | float_flag_invalid_cvti; | |
3520 | r = int128_zero(); | |
3521 | } else if (p.exp <= 127) { | |
3522 | int shift = 127 - p.exp; | |
3523 | r = int128_urshift(int128_make128(p.frac_lo, p.frac_hi), shift); | |
3524 | } else { | |
3525 | flags = float_flag_invalid | float_flag_invalid_cvti; | |
3526 | r = UINT128_MAX; | |
3527 | } | |
3528 | break; | |
3529 | ||
3530 | default: | |
3531 | g_assert_not_reached(); | |
3532 | } | |
3533 | ||
3534 | float_raise(flags, s); | |
3535 | return r; | |
3536 | } | |
3537 | ||
0d93d8ec FC |
3538 | uint8_t float16_to_uint8(float16 a, float_status *s) |
3539 | { | |
3540 | return float16_to_uint8_scalbn(a, s->float_rounding_mode, 0, s); | |
3541 | } | |
3542 | ||
2f6c74be RH |
3543 | uint16_t float16_to_uint16(float16 a, float_status *s) |
3544 | { | |
3545 | return float16_to_uint16_scalbn(a, s->float_rounding_mode, 0, s); | |
3546 | } | |
3547 | ||
3548 | uint32_t float16_to_uint32(float16 a, float_status *s) | |
3549 | { | |
3550 | return float16_to_uint32_scalbn(a, s->float_rounding_mode, 0, s); | |
3551 | } | |
3552 | ||
3553 | uint64_t float16_to_uint64(float16 a, float_status *s) | |
3554 | { | |
3555 | return float16_to_uint64_scalbn(a, s->float_rounding_mode, 0, s); | |
3556 | } | |
3557 | ||
3558 | uint16_t float32_to_uint16(float32 a, float_status *s) | |
3559 | { | |
3560 | return float32_to_uint16_scalbn(a, s->float_rounding_mode, 0, s); | |
3561 | } | |
3562 | ||
3563 | uint32_t float32_to_uint32(float32 a, float_status *s) | |
3564 | { | |
3565 | return float32_to_uint32_scalbn(a, s->float_rounding_mode, 0, s); | |
3566 | } | |
3567 | ||
3568 | uint64_t float32_to_uint64(float32 a, float_status *s) | |
3569 | { | |
3570 | return float32_to_uint64_scalbn(a, s->float_rounding_mode, 0, s); | |
3571 | } | |
3572 | ||
3573 | uint16_t float64_to_uint16(float64 a, float_status *s) | |
3574 | { | |
3575 | return float64_to_uint16_scalbn(a, s->float_rounding_mode, 0, s); | |
3576 | } | |
3577 | ||
3578 | uint32_t float64_to_uint32(float64 a, float_status *s) | |
3579 | { | |
3580 | return float64_to_uint32_scalbn(a, s->float_rounding_mode, 0, s); | |
3581 | } | |
3582 | ||
3583 | uint64_t float64_to_uint64(float64 a, float_status *s) | |
3584 | { | |
3585 | return float64_to_uint64_scalbn(a, s->float_rounding_mode, 0, s); | |
3586 | } | |
3587 | ||
4ab4aef0 RH |
3588 | uint32_t float128_to_uint32(float128 a, float_status *s) |
3589 | { | |
3590 | return float128_to_uint32_scalbn(a, s->float_rounding_mode, 0, s); | |
3591 | } | |
3592 | ||
3593 | uint64_t float128_to_uint64(float128 a, float_status *s) | |
3594 | { | |
3595 | return float128_to_uint64_scalbn(a, s->float_rounding_mode, 0, s); | |
3596 | } | |
3597 | ||
4de49ddf MF |
3598 | Int128 float128_to_uint128(float128 a, float_status *s) |
3599 | { | |
3600 | return float128_to_uint128_scalbn(a, s->float_rounding_mode, 0, s); | |
3601 | } | |
3602 | ||
2f6c74be RH |
3603 | uint16_t float16_to_uint16_round_to_zero(float16 a, float_status *s) |
3604 | { | |
3605 | return float16_to_uint16_scalbn(a, float_round_to_zero, 0, s); | |
3606 | } | |
3607 | ||
3608 | uint32_t float16_to_uint32_round_to_zero(float16 a, float_status *s) | |
3609 | { | |
3610 | return float16_to_uint32_scalbn(a, float_round_to_zero, 0, s); | |
3611 | } | |
3612 | ||
3613 | uint64_t float16_to_uint64_round_to_zero(float16 a, float_status *s) | |
3614 | { | |
3615 | return float16_to_uint64_scalbn(a, float_round_to_zero, 0, s); | |
3616 | } | |
3617 | ||
3618 | uint16_t float32_to_uint16_round_to_zero(float32 a, float_status *s) | |
3619 | { | |
3620 | return float32_to_uint16_scalbn(a, float_round_to_zero, 0, s); | |
3621 | } | |
3622 | ||
3623 | uint32_t float32_to_uint32_round_to_zero(float32 a, float_status *s) | |
3624 | { | |
3625 | return float32_to_uint32_scalbn(a, float_round_to_zero, 0, s); | |
3626 | } | |
3627 | ||
3628 | uint64_t float32_to_uint64_round_to_zero(float32 a, float_status *s) | |
3629 | { | |
3630 | return float32_to_uint64_scalbn(a, float_round_to_zero, 0, s); | |
3631 | } | |
3632 | ||
3633 | uint16_t float64_to_uint16_round_to_zero(float64 a, float_status *s) | |
3634 | { | |
3635 | return float64_to_uint16_scalbn(a, float_round_to_zero, 0, s); | |
3636 | } | |
3637 | ||
3638 | uint32_t float64_to_uint32_round_to_zero(float64 a, float_status *s) | |
3639 | { | |
3640 | return float64_to_uint32_scalbn(a, float_round_to_zero, 0, s); | |
3641 | } | |
3642 | ||
3643 | uint64_t float64_to_uint64_round_to_zero(float64 a, float_status *s) | |
3644 | { | |
3645 | return float64_to_uint64_scalbn(a, float_round_to_zero, 0, s); | |
3646 | } | |
ab52f973 | 3647 | |
4ab4aef0 | 3648 | uint32_t float128_to_uint32_round_to_zero(float128 a, float_status *s) |
34f0c0a9 | 3649 | { |
4ab4aef0 | 3650 | return float128_to_uint32_scalbn(a, float_round_to_zero, 0, s); |
34f0c0a9 LZ |
3651 | } |
3652 | ||
4ab4aef0 | 3653 | uint64_t float128_to_uint64_round_to_zero(float128 a, float_status *s) |
34f0c0a9 | 3654 | { |
4ab4aef0 | 3655 | return float128_to_uint64_scalbn(a, float_round_to_zero, 0, s); |
34f0c0a9 LZ |
3656 | } |
3657 | ||
4de49ddf MF |
3658 | Int128 float128_to_uint128_round_to_zero(float128 a, float_status *s) |
3659 | { | |
3660 | return float128_to_uint128_scalbn(a, float_round_to_zero, 0, s); | |
3661 | } | |
3662 | ||
34f0c0a9 LZ |
3663 | uint16_t bfloat16_to_uint16(bfloat16 a, float_status *s) |
3664 | { | |
3665 | return bfloat16_to_uint16_scalbn(a, s->float_rounding_mode, 0, s); | |
3666 | } | |
3667 | ||
3668 | uint32_t bfloat16_to_uint32(bfloat16 a, float_status *s) | |
3669 | { | |
3670 | return bfloat16_to_uint32_scalbn(a, s->float_rounding_mode, 0, s); | |
3671 | } | |
3672 | ||
3673 | uint64_t bfloat16_to_uint64(bfloat16 a, float_status *s) | |
3674 | { | |
3675 | return bfloat16_to_uint64_scalbn(a, s->float_rounding_mode, 0, s); | |
3676 | } | |
3677 | ||
3678 | uint16_t bfloat16_to_uint16_round_to_zero(bfloat16 a, float_status *s) | |
3679 | { | |
3680 | return bfloat16_to_uint16_scalbn(a, float_round_to_zero, 0, s); | |
3681 | } | |
3682 | ||
3683 | uint32_t bfloat16_to_uint32_round_to_zero(bfloat16 a, float_status *s) | |
3684 | { | |
3685 | return bfloat16_to_uint32_scalbn(a, float_round_to_zero, 0, s); | |
3686 | } | |
3687 | ||
3688 | uint64_t bfloat16_to_uint64_round_to_zero(bfloat16 a, float_status *s) | |
3689 | { | |
3690 | return bfloat16_to_uint64_scalbn(a, float_round_to_zero, 0, s); | |
3691 | } | |
3692 | ||
c02e1fb8 | 3693 | /* |
e3689519 | 3694 | * Signed integer to floating-point conversions |
c02e1fb8 AB |
3695 | */ |
3696 | ||
2abdfe24 | 3697 | float16 int64_to_float16_scalbn(int64_t a, int scale, float_status *status) |
c02e1fb8 | 3698 | { |
e3689519 RH |
3699 | FloatParts64 p; |
3700 | ||
3701 | parts_sint_to_float(&p, a, scale, status); | |
3702 | return float16_round_pack_canonical(&p, status); | |
c02e1fb8 AB |
3703 | } |
3704 | ||
2abdfe24 RH |
3705 | float16 int32_to_float16_scalbn(int32_t a, int scale, float_status *status) |
3706 | { | |
3707 | return int64_to_float16_scalbn(a, scale, status); | |
3708 | } | |
3709 | ||
3710 | float16 int16_to_float16_scalbn(int16_t a, int scale, float_status *status) | |
3711 | { | |
3712 | return int64_to_float16_scalbn(a, scale, status); | |
3713 | } | |
3714 | ||
3715 | float16 int64_to_float16(int64_t a, float_status *status) | |
3716 | { | |
3717 | return int64_to_float16_scalbn(a, 0, status); | |
3718 | } | |
3719 | ||
c02e1fb8 AB |
3720 | float16 int32_to_float16(int32_t a, float_status *status) |
3721 | { | |
2abdfe24 | 3722 | return int64_to_float16_scalbn(a, 0, status); |
c02e1fb8 AB |
3723 | } |
3724 | ||
3725 | float16 int16_to_float16(int16_t a, float_status *status) | |
3726 | { | |
2abdfe24 | 3727 | return int64_to_float16_scalbn(a, 0, status); |
c02e1fb8 AB |
3728 | } |
3729 | ||
0d93d8ec FC |
3730 | float16 int8_to_float16(int8_t a, float_status *status) |
3731 | { | |
3732 | return int64_to_float16_scalbn(a, 0, status); | |
3733 | } | |
3734 | ||
2abdfe24 | 3735 | float32 int64_to_float32_scalbn(int64_t a, int scale, float_status *status) |
c02e1fb8 | 3736 | { |
e3689519 RH |
3737 | FloatParts64 p; |
3738 | ||
5d0204b8 RH |
3739 | /* Without scaling, there are no overflow concerns. */ |
3740 | if (likely(scale == 0) && can_use_fpu(status)) { | |
3741 | union_float32 ur; | |
3742 | ur.h = a; | |
3743 | return ur.s; | |
3744 | } | |
3745 | ||
e3689519 RH |
3746 | parts64_sint_to_float(&p, a, scale, status); |
3747 | return float32_round_pack_canonical(&p, status); | |
c02e1fb8 AB |
3748 | } |
3749 | ||
2abdfe24 RH |
3750 | float32 int32_to_float32_scalbn(int32_t a, int scale, float_status *status) |
3751 | { | |
3752 | return int64_to_float32_scalbn(a, scale, status); | |
3753 | } | |
3754 | ||
3755 | float32 int16_to_float32_scalbn(int16_t a, int scale, float_status *status) | |
3756 | { | |
3757 | return int64_to_float32_scalbn(a, scale, status); | |
3758 | } | |
3759 | ||
3760 | float32 int64_to_float32(int64_t a, float_status *status) | |
3761 | { | |
3762 | return int64_to_float32_scalbn(a, 0, status); | |
3763 | } | |
3764 | ||
c02e1fb8 AB |
3765 | float32 int32_to_float32(int32_t a, float_status *status) |
3766 | { | |
2abdfe24 | 3767 | return int64_to_float32_scalbn(a, 0, status); |
c02e1fb8 AB |
3768 | } |
3769 | ||
3770 | float32 int16_to_float32(int16_t a, float_status *status) | |
3771 | { | |
2abdfe24 | 3772 | return int64_to_float32_scalbn(a, 0, status); |
c02e1fb8 AB |
3773 | } |
3774 | ||
2abdfe24 | 3775 | float64 int64_to_float64_scalbn(int64_t a, int scale, float_status *status) |
c02e1fb8 | 3776 | { |
e3689519 RH |
3777 | FloatParts64 p; |
3778 | ||
5d0204b8 RH |
3779 | /* Without scaling, there are no overflow concerns. */ |
3780 | if (likely(scale == 0) && can_use_fpu(status)) { | |
3781 | union_float64 ur; | |
3782 | ur.h = a; | |
3783 | return ur.s; | |
3784 | } | |
3785 | ||
e3689519 RH |
3786 | parts_sint_to_float(&p, a, scale, status); |
3787 | return float64_round_pack_canonical(&p, status); | |
c02e1fb8 AB |
3788 | } |
3789 | ||
2abdfe24 RH |
3790 | float64 int32_to_float64_scalbn(int32_t a, int scale, float_status *status) |
3791 | { | |
3792 | return int64_to_float64_scalbn(a, scale, status); | |
3793 | } | |
3794 | ||
3795 | float64 int16_to_float64_scalbn(int16_t a, int scale, float_status *status) | |
3796 | { | |
3797 | return int64_to_float64_scalbn(a, scale, status); | |
3798 | } | |
3799 | ||
3800 | float64 int64_to_float64(int64_t a, float_status *status) | |
3801 | { | |
3802 | return int64_to_float64_scalbn(a, 0, status); | |
3803 | } | |
3804 | ||
c02e1fb8 AB |
3805 | float64 int32_to_float64(int32_t a, float_status *status) |
3806 | { | |
2abdfe24 | 3807 | return int64_to_float64_scalbn(a, 0, status); |
c02e1fb8 AB |
3808 | } |
3809 | ||
3810 | float64 int16_to_float64(int16_t a, float_status *status) | |
3811 | { | |
2abdfe24 | 3812 | return int64_to_float64_scalbn(a, 0, status); |
c02e1fb8 AB |
3813 | } |
3814 | ||
34f0c0a9 LZ |
3815 | bfloat16 int64_to_bfloat16_scalbn(int64_t a, int scale, float_status *status) |
3816 | { | |
e3689519 RH |
3817 | FloatParts64 p; |
3818 | ||
3819 | parts_sint_to_float(&p, a, scale, status); | |
3820 | return bfloat16_round_pack_canonical(&p, status); | |
34f0c0a9 LZ |
3821 | } |
3822 | ||
3823 | bfloat16 int32_to_bfloat16_scalbn(int32_t a, int scale, float_status *status) | |
3824 | { | |
3825 | return int64_to_bfloat16_scalbn(a, scale, status); | |
3826 | } | |
3827 | ||
3828 | bfloat16 int16_to_bfloat16_scalbn(int16_t a, int scale, float_status *status) | |
3829 | { | |
3830 | return int64_to_bfloat16_scalbn(a, scale, status); | |
3831 | } | |
3832 | ||
3833 | bfloat16 int64_to_bfloat16(int64_t a, float_status *status) | |
3834 | { | |
3835 | return int64_to_bfloat16_scalbn(a, 0, status); | |
3836 | } | |
3837 | ||
3838 | bfloat16 int32_to_bfloat16(int32_t a, float_status *status) | |
3839 | { | |
3840 | return int64_to_bfloat16_scalbn(a, 0, status); | |
3841 | } | |
3842 | ||
3843 | bfloat16 int16_to_bfloat16(int16_t a, float_status *status) | |
3844 | { | |
3845 | return int64_to_bfloat16_scalbn(a, 0, status); | |
3846 | } | |
c02e1fb8 | 3847 | |
95c1b71e MF |
3848 | float128 int128_to_float128(Int128 a, float_status *status) |
3849 | { | |
3850 | FloatParts128 p = { }; | |
3851 | int shift; | |
3852 | ||
3853 | if (int128_nz(a)) { | |
3854 | p.cls = float_class_normal; | |
3855 | if (!int128_nonneg(a)) { | |
3856 | p.sign = true; | |
3857 | a = int128_neg(a); | |
3858 | } | |
3859 | ||
3860 | shift = clz64(int128_gethi(a)); | |
3861 | if (shift == 64) { | |
3862 | shift += clz64(int128_getlo(a)); | |
3863 | } | |
3864 | ||
3865 | p.exp = 127 - shift; | |
3866 | a = int128_lshift(a, shift); | |
3867 | ||
3868 | p.frac_hi = int128_gethi(a); | |
3869 | p.frac_lo = int128_getlo(a); | |
3870 | } else { | |
3871 | p.cls = float_class_zero; | |
3872 | } | |
3873 | ||
3874 | return float128_round_pack_canonical(&p, status); | |
3875 | } | |
3876 | ||
e3689519 RH |
3877 | float128 int64_to_float128(int64_t a, float_status *status) |
3878 | { | |
3879 | FloatParts128 p; | |
3880 | ||
3881 | parts_sint_to_float(&p, a, 0, status); | |
3882 | return float128_round_pack_canonical(&p, status); | |
3883 | } | |
3884 | ||
3885 | float128 int32_to_float128(int32_t a, float_status *status) | |
3886 | { | |
3887 | return int64_to_float128(a, status); | |
3888 | } | |
3889 | ||
5f952900 RH |
3890 | floatx80 int64_to_floatx80(int64_t a, float_status *status) |
3891 | { | |
3892 | FloatParts128 p; | |
3893 | ||
3894 | parts_sint_to_float(&p, a, 0, status); | |
3895 | return floatx80_round_pack_canonical(&p, status); | |
3896 | } | |
3897 | ||
3898 | floatx80 int32_to_floatx80(int32_t a, float_status *status) | |
3899 | { | |
3900 | return int64_to_floatx80(a, status); | |
3901 | } | |
3902 | ||
c02e1fb8 | 3903 | /* |
37c954a1 | 3904 | * Unsigned Integer to floating-point conversions |
c02e1fb8 AB |
3905 | */ |
3906 | ||
2abdfe24 | 3907 | float16 uint64_to_float16_scalbn(uint64_t a, int scale, float_status *status) |
c02e1fb8 | 3908 | { |
37c954a1 RH |
3909 | FloatParts64 p; |
3910 | ||
3911 | parts_uint_to_float(&p, a, scale, status); | |
3912 | return float16_round_pack_canonical(&p, status); | |
c02e1fb8 AB |
3913 | } |
3914 | ||
2abdfe24 RH |
3915 | float16 uint32_to_float16_scalbn(uint32_t a, int scale, float_status *status) |
3916 | { | |
3917 | return uint64_to_float16_scalbn(a, scale, status); | |
3918 | } | |
3919 | ||
3920 | float16 uint16_to_float16_scalbn(uint16_t a, int scale, float_status *status) | |
3921 | { | |
3922 | return uint64_to_float16_scalbn(a, scale, status); | |
3923 | } | |
3924 | ||
3925 | float16 uint64_to_float16(uint64_t a, float_status *status) | |
3926 | { | |
3927 | return uint64_to_float16_scalbn(a, 0, status); | |
3928 | } | |
3929 | ||
c02e1fb8 AB |
3930 | float16 uint32_to_float16(uint32_t a, float_status *status) |
3931 | { | |
2abdfe24 | 3932 | return uint64_to_float16_scalbn(a, 0, status); |
c02e1fb8 AB |
3933 | } |
3934 | ||
3935 | float16 uint16_to_float16(uint16_t a, float_status *status) | |
3936 | { | |
2abdfe24 | 3937 | return uint64_to_float16_scalbn(a, 0, status); |
c02e1fb8 AB |
3938 | } |
3939 | ||
0d93d8ec FC |
3940 | float16 uint8_to_float16(uint8_t a, float_status *status) |
3941 | { | |
3942 | return uint64_to_float16_scalbn(a, 0, status); | |
3943 | } | |
3944 | ||
2abdfe24 | 3945 | float32 uint64_to_float32_scalbn(uint64_t a, int scale, float_status *status) |
c02e1fb8 | 3946 | { |
37c954a1 RH |
3947 | FloatParts64 p; |
3948 | ||
5d0204b8 RH |
3949 | /* Without scaling, there are no overflow concerns. */ |
3950 | if (likely(scale == 0) && can_use_fpu(status)) { | |
3951 | union_float32 ur; | |
3952 | ur.h = a; | |
3953 | return ur.s; | |
3954 | } | |
3955 | ||
37c954a1 RH |
3956 | parts_uint_to_float(&p, a, scale, status); |
3957 | return float32_round_pack_canonical(&p, status); | |
c02e1fb8 AB |
3958 | } |
3959 | ||
2abdfe24 RH |
3960 | float32 uint32_to_float32_scalbn(uint32_t a, int scale, float_status *status) |
3961 | { | |
3962 | return uint64_to_float32_scalbn(a, scale, status); | |
3963 | } | |
3964 | ||
3965 | float32 uint16_to_float32_scalbn(uint16_t a, int scale, float_status *status) | |
3966 | { | |
3967 | return uint64_to_float32_scalbn(a, scale, status); | |
3968 | } | |
3969 | ||
3970 | float32 uint64_to_float32(uint64_t a, float_status *status) | |
3971 | { | |
3972 | return uint64_to_float32_scalbn(a, 0, status); | |
3973 | } | |
3974 | ||
c02e1fb8 AB |
3975 | float32 uint32_to_float32(uint32_t a, float_status *status) |
3976 | { | |
2abdfe24 | 3977 | return uint64_to_float32_scalbn(a, 0, status); |
c02e1fb8 AB |
3978 | } |
3979 | ||
3980 | float32 uint16_to_float32(uint16_t a, float_status *status) | |
3981 | { | |
2abdfe24 | 3982 | return uint64_to_float32_scalbn(a, 0, status); |
c02e1fb8 AB |
3983 | } |
3984 | ||
2abdfe24 | 3985 | float64 uint64_to_float64_scalbn(uint64_t a, int scale, float_status *status) |
c02e1fb8 | 3986 | { |
37c954a1 RH |
3987 | FloatParts64 p; |
3988 | ||
5d0204b8 RH |
3989 | /* Without scaling, there are no overflow concerns. */ |
3990 | if (likely(scale == 0) && can_use_fpu(status)) { | |
3991 | union_float64 ur; | |
3992 | ur.h = a; | |
3993 | return ur.s; | |
3994 | } | |
3995 | ||
37c954a1 RH |
3996 | parts_uint_to_float(&p, a, scale, status); |
3997 | return float64_round_pack_canonical(&p, status); | |
c02e1fb8 AB |
3998 | } |
3999 | ||
2abdfe24 RH |
4000 | float64 uint32_to_float64_scalbn(uint32_t a, int scale, float_status *status) |
4001 | { | |
4002 | return uint64_to_float64_scalbn(a, scale, status); | |
4003 | } | |
4004 | ||
4005 | float64 uint16_to_float64_scalbn(uint16_t a, int scale, float_status *status) | |
4006 | { | |
4007 | return uint64_to_float64_scalbn(a, scale, status); | |
4008 | } | |
4009 | ||
4010 | float64 uint64_to_float64(uint64_t a, float_status *status) | |
4011 | { | |
4012 | return uint64_to_float64_scalbn(a, 0, status); | |
4013 | } | |
4014 | ||
c02e1fb8 AB |
4015 | float64 uint32_to_float64(uint32_t a, float_status *status) |
4016 | { | |
2abdfe24 | 4017 | return uint64_to_float64_scalbn(a, 0, status); |
c02e1fb8 AB |
4018 | } |
4019 | ||
4020 | float64 uint16_to_float64(uint16_t a, float_status *status) | |
4021 | { | |
2abdfe24 | 4022 | return uint64_to_float64_scalbn(a, 0, status); |
c02e1fb8 AB |
4023 | } |
4024 | ||
34f0c0a9 LZ |
4025 | bfloat16 uint64_to_bfloat16_scalbn(uint64_t a, int scale, float_status *status) |
4026 | { | |
37c954a1 RH |
4027 | FloatParts64 p; |
4028 | ||
4029 | parts_uint_to_float(&p, a, scale, status); | |
4030 | return bfloat16_round_pack_canonical(&p, status); | |
34f0c0a9 LZ |
4031 | } |
4032 | ||
4033 | bfloat16 uint32_to_bfloat16_scalbn(uint32_t a, int scale, float_status *status) | |
4034 | { | |
4035 | return uint64_to_bfloat16_scalbn(a, scale, status); | |
4036 | } | |
4037 | ||
4038 | bfloat16 uint16_to_bfloat16_scalbn(uint16_t a, int scale, float_status *status) | |
4039 | { | |
4040 | return uint64_to_bfloat16_scalbn(a, scale, status); | |
4041 | } | |
4042 | ||
4043 | bfloat16 uint64_to_bfloat16(uint64_t a, float_status *status) | |
4044 | { | |
4045 | return uint64_to_bfloat16_scalbn(a, 0, status); | |
4046 | } | |
4047 | ||
4048 | bfloat16 uint32_to_bfloat16(uint32_t a, float_status *status) | |
4049 | { | |
4050 | return uint64_to_bfloat16_scalbn(a, 0, status); | |
4051 | } | |
4052 | ||
4053 | bfloat16 uint16_to_bfloat16(uint16_t a, float_status *status) | |
4054 | { | |
4055 | return uint64_to_bfloat16_scalbn(a, 0, status); | |
4056 | } | |
4057 | ||
37c954a1 RH |
4058 | float128 uint64_to_float128(uint64_t a, float_status *status) |
4059 | { | |
4060 | FloatParts128 p; | |
4061 | ||
4062 | parts_uint_to_float(&p, a, 0, status); | |
4063 | return float128_round_pack_canonical(&p, status); | |
4064 | } | |
4065 | ||
f279852b MF |
4066 | float128 uint128_to_float128(Int128 a, float_status *status) |
4067 | { | |
4068 | FloatParts128 p = { }; | |
4069 | int shift; | |
4070 | ||
4071 | if (int128_nz(a)) { | |
4072 | p.cls = float_class_normal; | |
4073 | ||
4074 | shift = clz64(int128_gethi(a)); | |
4075 | if (shift == 64) { | |
4076 | shift += clz64(int128_getlo(a)); | |
4077 | } | |
4078 | ||
4079 | p.exp = 127 - shift; | |
4080 | a = int128_lshift(a, shift); | |
4081 | ||
4082 | p.frac_hi = int128_gethi(a); | |
4083 | p.frac_lo = int128_getlo(a); | |
4084 | } else { | |
4085 | p.cls = float_class_zero; | |
4086 | } | |
4087 | ||
4088 | return float128_round_pack_canonical(&p, status); | |
4089 | } | |
4090 | ||
e1c4667a RH |
4091 | /* |
4092 | * Minimum and maximum | |
89360067 | 4093 | */ |
89360067 | 4094 | |
e1c4667a RH |
4095 | static float16 float16_minmax(float16 a, float16 b, float_status *s, int flags) |
4096 | { | |
4097 | FloatParts64 pa, pb, *pr; | |
89360067 | 4098 | |
e1c4667a RH |
4099 | float16_unpack_canonical(&pa, a, s); |
4100 | float16_unpack_canonical(&pb, b, s); | |
4101 | pr = parts_minmax(&pa, &pb, s, flags); | |
4102 | ||
4103 | return float16_round_pack_canonical(pr, s); | |
89360067 AB |
4104 | } |
4105 | ||
e1c4667a RH |
4106 | static bfloat16 bfloat16_minmax(bfloat16 a, bfloat16 b, |
4107 | float_status *s, int flags) | |
4108 | { | |
4109 | FloatParts64 pa, pb, *pr; | |
4110 | ||
4111 | bfloat16_unpack_canonical(&pa, a, s); | |
4112 | bfloat16_unpack_canonical(&pb, b, s); | |
4113 | pr = parts_minmax(&pa, &pb, s, flags); | |
4114 | ||
4115 | return bfloat16_round_pack_canonical(pr, s); | |
4116 | } | |
4117 | ||
4118 | static float32 float32_minmax(float32 a, float32 b, float_status *s, int flags) | |
4119 | { | |
4120 | FloatParts64 pa, pb, *pr; | |
4121 | ||
4122 | float32_unpack_canonical(&pa, a, s); | |
4123 | float32_unpack_canonical(&pb, b, s); | |
4124 | pr = parts_minmax(&pa, &pb, s, flags); | |
4125 | ||
4126 | return float32_round_pack_canonical(pr, s); | |
4127 | } | |
4128 | ||
4129 | static float64 float64_minmax(float64 a, float64 b, float_status *s, int flags) | |
4130 | { | |
4131 | FloatParts64 pa, pb, *pr; | |
4132 | ||
4133 | float64_unpack_canonical(&pa, a, s); | |
4134 | float64_unpack_canonical(&pb, b, s); | |
4135 | pr = parts_minmax(&pa, &pb, s, flags); | |
4136 | ||
4137 | return float64_round_pack_canonical(pr, s); | |
4138 | } | |
4139 | ||
ceebc129 DH |
4140 | static float128 float128_minmax(float128 a, float128 b, |
4141 | float_status *s, int flags) | |
4142 | { | |
4143 | FloatParts128 pa, pb, *pr; | |
4144 | ||
4145 | float128_unpack_canonical(&pa, a, s); | |
4146 | float128_unpack_canonical(&pb, b, s); | |
4147 | pr = parts_minmax(&pa, &pb, s, flags); | |
4148 | ||
4149 | return float128_round_pack_canonical(pr, s); | |
4150 | } | |
4151 | ||
e1c4667a RH |
4152 | #define MINMAX_1(type, name, flags) \ |
4153 | type type##_##name(type a, type b, float_status *s) \ | |
4154 | { return type##_minmax(a, b, s, flags); } | |
4155 | ||
4156 | #define MINMAX_2(type) \ | |
0e903037 CMC |
4157 | MINMAX_1(type, max, 0) \ |
4158 | MINMAX_1(type, maxnum, minmax_isnum) \ | |
4159 | MINMAX_1(type, maxnummag, minmax_isnum | minmax_ismag) \ | |
4160 | MINMAX_1(type, maximum_number, minmax_isnumber) \ | |
4161 | MINMAX_1(type, min, minmax_ismin) \ | |
4162 | MINMAX_1(type, minnum, minmax_ismin | minmax_isnum) \ | |
4163 | MINMAX_1(type, minnummag, minmax_ismin | minmax_isnum | minmax_ismag) \ | |
4164 | MINMAX_1(type, minimum_number, minmax_ismin | minmax_isnumber) \ | |
e1c4667a RH |
4165 | |
4166 | MINMAX_2(float16) | |
4167 | MINMAX_2(bfloat16) | |
4168 | MINMAX_2(float32) | |
4169 | MINMAX_2(float64) | |
ceebc129 | 4170 | MINMAX_2(float128) |
e1c4667a RH |
4171 | |
4172 | #undef MINMAX_1 | |
4173 | #undef MINMAX_2 | |
8282310d | 4174 | |
6eb169b8 RH |
4175 | /* |
4176 | * Floating point compare | |
4177 | */ | |
0c4c9092 | 4178 | |
6eb169b8 RH |
4179 | static FloatRelation QEMU_FLATTEN |
4180 | float16_do_compare(float16 a, float16 b, float_status *s, bool is_quiet) | |
4181 | { | |
4182 | FloatParts64 pa, pb; | |
0c4c9092 | 4183 | |
6eb169b8 RH |
4184 | float16_unpack_canonical(&pa, a, s); |
4185 | float16_unpack_canonical(&pb, b, s); | |
4186 | return parts_compare(&pa, &pb, s, is_quiet); | |
0c4c9092 AB |
4187 | } |
4188 | ||
71bfd65c | 4189 | FloatRelation float16_compare(float16 a, float16 b, float_status *s) |
d9fe9db9 | 4190 | { |
6eb169b8 | 4191 | return float16_do_compare(a, b, s, false); |
d9fe9db9 EC |
4192 | } |
4193 | ||
71bfd65c | 4194 | FloatRelation float16_compare_quiet(float16 a, float16 b, float_status *s) |
d9fe9db9 | 4195 | { |
6eb169b8 RH |
4196 | return float16_do_compare(a, b, s, true); |
4197 | } | |
4198 | ||
4199 | static FloatRelation QEMU_SOFTFLOAT_ATTR | |
4200 | float32_do_compare(float32 a, float32 b, float_status *s, bool is_quiet) | |
4201 | { | |
4202 | FloatParts64 pa, pb; | |
4203 | ||
4204 | float32_unpack_canonical(&pa, a, s); | |
4205 | float32_unpack_canonical(&pb, b, s); | |
4206 | return parts_compare(&pa, &pb, s, is_quiet); | |
d9fe9db9 EC |
4207 | } |
4208 | ||
71bfd65c | 4209 | static FloatRelation QEMU_FLATTEN |
6eb169b8 | 4210 | float32_hs_compare(float32 xa, float32 xb, float_status *s, bool is_quiet) |
d9fe9db9 EC |
4211 | { |
4212 | union_float32 ua, ub; | |
4213 | ||
4214 | ua.s = xa; | |
4215 | ub.s = xb; | |
4216 | ||
4217 | if (QEMU_NO_HARDFLOAT) { | |
4218 | goto soft; | |
4219 | } | |
4220 | ||
4221 | float32_input_flush2(&ua.s, &ub.s, s); | |
4222 | if (isgreaterequal(ua.h, ub.h)) { | |
4223 | if (isgreater(ua.h, ub.h)) { | |
4224 | return float_relation_greater; | |
4225 | } | |
4226 | return float_relation_equal; | |
4227 | } | |
4228 | if (likely(isless(ua.h, ub.h))) { | |
4229 | return float_relation_less; | |
4230 | } | |
6eb169b8 RH |
4231 | /* |
4232 | * The only condition remaining is unordered. | |
d9fe9db9 EC |
4233 | * Fall through to set flags. |
4234 | */ | |
4235 | soft: | |
6eb169b8 | 4236 | return float32_do_compare(ua.s, ub.s, s, is_quiet); |
d9fe9db9 EC |
4237 | } |
4238 | ||
71bfd65c | 4239 | FloatRelation float32_compare(float32 a, float32 b, float_status *s) |
d9fe9db9 | 4240 | { |
6eb169b8 | 4241 | return float32_hs_compare(a, b, s, false); |
d9fe9db9 EC |
4242 | } |
4243 | ||
71bfd65c | 4244 | FloatRelation float32_compare_quiet(float32 a, float32 b, float_status *s) |
d9fe9db9 | 4245 | { |
6eb169b8 RH |
4246 | return float32_hs_compare(a, b, s, true); |
4247 | } | |
4248 | ||
4249 | static FloatRelation QEMU_SOFTFLOAT_ATTR | |
4250 | float64_do_compare(float64 a, float64 b, float_status *s, bool is_quiet) | |
4251 | { | |
4252 | FloatParts64 pa, pb; | |
4253 | ||
4254 | float64_unpack_canonical(&pa, a, s); | |
4255 | float64_unpack_canonical(&pb, b, s); | |
4256 | return parts_compare(&pa, &pb, s, is_quiet); | |
d9fe9db9 EC |
4257 | } |
4258 | ||
71bfd65c | 4259 | static FloatRelation QEMU_FLATTEN |
6eb169b8 | 4260 | float64_hs_compare(float64 xa, float64 xb, float_status *s, bool is_quiet) |
d9fe9db9 EC |
4261 | { |
4262 | union_float64 ua, ub; | |
4263 | ||
4264 | ua.s = xa; | |
4265 | ub.s = xb; | |
4266 | ||
4267 | if (QEMU_NO_HARDFLOAT) { | |
4268 | goto soft; | |
4269 | } | |
4270 | ||
4271 | float64_input_flush2(&ua.s, &ub.s, s); | |
4272 | if (isgreaterequal(ua.h, ub.h)) { | |
4273 | if (isgreater(ua.h, ub.h)) { | |
4274 | return float_relation_greater; | |
4275 | } | |
4276 | return float_relation_equal; | |
4277 | } | |
4278 | if (likely(isless(ua.h, ub.h))) { | |
4279 | return float_relation_less; | |
4280 | } | |
6eb169b8 RH |
4281 | /* |
4282 | * The only condition remaining is unordered. | |
d9fe9db9 EC |
4283 | * Fall through to set flags. |
4284 | */ | |
4285 | soft: | |
6eb169b8 | 4286 | return float64_do_compare(ua.s, ub.s, s, is_quiet); |
d9fe9db9 EC |
4287 | } |
4288 | ||
71bfd65c | 4289 | FloatRelation float64_compare(float64 a, float64 b, float_status *s) |
d9fe9db9 | 4290 | { |
6eb169b8 | 4291 | return float64_hs_compare(a, b, s, false); |
d9fe9db9 EC |
4292 | } |
4293 | ||
71bfd65c | 4294 | FloatRelation float64_compare_quiet(float64 a, float64 b, float_status *s) |
d9fe9db9 | 4295 | { |
6eb169b8 | 4296 | return float64_hs_compare(a, b, s, true); |
d9fe9db9 EC |
4297 | } |
4298 | ||
8282310d | 4299 | static FloatRelation QEMU_FLATTEN |
6eb169b8 | 4300 | bfloat16_do_compare(bfloat16 a, bfloat16 b, float_status *s, bool is_quiet) |
8282310d | 4301 | { |
98e256fc RH |
4302 | FloatParts64 pa, pb; |
4303 | ||
4304 | bfloat16_unpack_canonical(&pa, a, s); | |
4305 | bfloat16_unpack_canonical(&pb, b, s); | |
6eb169b8 | 4306 | return parts_compare(&pa, &pb, s, is_quiet); |
8282310d LZ |
4307 | } |
4308 | ||
4309 | FloatRelation bfloat16_compare(bfloat16 a, bfloat16 b, float_status *s) | |
4310 | { | |
6eb169b8 | 4311 | return bfloat16_do_compare(a, b, s, false); |
8282310d LZ |
4312 | } |
4313 | ||
4314 | FloatRelation bfloat16_compare_quiet(bfloat16 a, bfloat16 b, float_status *s) | |
4315 | { | |
6eb169b8 RH |
4316 | return bfloat16_do_compare(a, b, s, true); |
4317 | } | |
4318 | ||
4319 | static FloatRelation QEMU_FLATTEN | |
4320 | float128_do_compare(float128 a, float128 b, float_status *s, bool is_quiet) | |
4321 | { | |
4322 | FloatParts128 pa, pb; | |
4323 | ||
4324 | float128_unpack_canonical(&pa, a, s); | |
4325 | float128_unpack_canonical(&pb, b, s); | |
4326 | return parts_compare(&pa, &pb, s, is_quiet); | |
4327 | } | |
4328 | ||
4329 | FloatRelation float128_compare(float128 a, float128 b, float_status *s) | |
4330 | { | |
4331 | return float128_do_compare(a, b, s, false); | |
4332 | } | |
4333 | ||
4334 | FloatRelation float128_compare_quiet(float128 a, float128 b, float_status *s) | |
4335 | { | |
4336 | return float128_do_compare(a, b, s, true); | |
8282310d LZ |
4337 | } |
4338 | ||
1b96b006 RH |
4339 | static FloatRelation QEMU_FLATTEN |
4340 | floatx80_do_compare(floatx80 a, floatx80 b, float_status *s, bool is_quiet) | |
4341 | { | |
4342 | FloatParts128 pa, pb; | |
4343 | ||
4344 | if (!floatx80_unpack_canonical(&pa, a, s) || | |
4345 | !floatx80_unpack_canonical(&pb, b, s)) { | |
4346 | return float_relation_unordered; | |
4347 | } | |
4348 | return parts_compare(&pa, &pb, s, is_quiet); | |
4349 | } | |
4350 | ||
4351 | FloatRelation floatx80_compare(floatx80 a, floatx80 b, float_status *s) | |
4352 | { | |
4353 | return floatx80_do_compare(a, b, s, false); | |
4354 | } | |
4355 | ||
4356 | FloatRelation floatx80_compare_quiet(floatx80 a, floatx80 b, float_status *s) | |
4357 | { | |
4358 | return floatx80_do_compare(a, b, s, true); | |
4359 | } | |
4360 | ||
39626b0c RH |
4361 | /* |
4362 | * Scale by 2**N | |
4363 | */ | |
0bfc9f19 AB |
4364 | |
4365 | float16 float16_scalbn(float16 a, int n, float_status *status) | |
4366 | { | |
39626b0c | 4367 | FloatParts64 p; |
98e256fc | 4368 | |
39626b0c RH |
4369 | float16_unpack_canonical(&p, a, status); |
4370 | parts_scalbn(&p, n, status); | |
4371 | return float16_round_pack_canonical(&p, status); | |
0bfc9f19 AB |
4372 | } |
4373 | ||
4374 | float32 float32_scalbn(float32 a, int n, float_status *status) | |
4375 | { | |
39626b0c | 4376 | FloatParts64 p; |
98e256fc | 4377 | |
39626b0c RH |
4378 | float32_unpack_canonical(&p, a, status); |
4379 | parts_scalbn(&p, n, status); | |
4380 | return float32_round_pack_canonical(&p, status); | |
0bfc9f19 AB |
4381 | } |
4382 | ||
4383 | float64 float64_scalbn(float64 a, int n, float_status *status) | |
4384 | { | |
39626b0c | 4385 | FloatParts64 p; |
98e256fc | 4386 | |
39626b0c RH |
4387 | float64_unpack_canonical(&p, a, status); |
4388 | parts_scalbn(&p, n, status); | |
4389 | return float64_round_pack_canonical(&p, status); | |
0bfc9f19 AB |
4390 | } |
4391 | ||
8282310d LZ |
4392 | bfloat16 bfloat16_scalbn(bfloat16 a, int n, float_status *status) |
4393 | { | |
39626b0c | 4394 | FloatParts64 p; |
98e256fc | 4395 | |
39626b0c RH |
4396 | bfloat16_unpack_canonical(&p, a, status); |
4397 | parts_scalbn(&p, n, status); | |
4398 | return bfloat16_round_pack_canonical(&p, status); | |
4399 | } | |
4400 | ||
4401 | float128 float128_scalbn(float128 a, int n, float_status *status) | |
4402 | { | |
4403 | FloatParts128 p; | |
4404 | ||
4405 | float128_unpack_canonical(&p, a, status); | |
4406 | parts_scalbn(&p, n, status); | |
4407 | return float128_round_pack_canonical(&p, status); | |
8282310d LZ |
4408 | } |
4409 | ||
872e6991 RH |
4410 | floatx80 floatx80_scalbn(floatx80 a, int n, float_status *status) |
4411 | { | |
4412 | FloatParts128 p; | |
4413 | ||
4414 | if (!floatx80_unpack_canonical(&p, a, status)) { | |
4415 | return floatx80_default_nan(status); | |
4416 | } | |
4417 | parts_scalbn(&p, n, status); | |
4418 | return floatx80_round_pack_canonical(&p, status); | |
4419 | } | |
4420 | ||
c13bb2da AB |
4421 | /* |
4422 | * Square Root | |
c13bb2da AB |
4423 | */ |
4424 | ||
97ff87c0 | 4425 | float16 QEMU_FLATTEN float16_sqrt(float16 a, float_status *status) |
c13bb2da | 4426 | { |
9261b245 | 4427 | FloatParts64 p; |
98e256fc | 4428 | |
9261b245 RH |
4429 | float16_unpack_canonical(&p, a, status); |
4430 | parts_sqrt(&p, status, &float16_params); | |
4431 | return float16_round_pack_canonical(&p, status); | |
c13bb2da AB |
4432 | } |
4433 | ||
f131bae8 EC |
4434 | static float32 QEMU_SOFTFLOAT_ATTR |
4435 | soft_f32_sqrt(float32 a, float_status *status) | |
c13bb2da | 4436 | { |
9261b245 | 4437 | FloatParts64 p; |
98e256fc | 4438 | |
9261b245 RH |
4439 | float32_unpack_canonical(&p, a, status); |
4440 | parts_sqrt(&p, status, &float32_params); | |
4441 | return float32_round_pack_canonical(&p, status); | |
c13bb2da AB |
4442 | } |
4443 | ||
f131bae8 EC |
4444 | static float64 QEMU_SOFTFLOAT_ATTR |
4445 | soft_f64_sqrt(float64 a, float_status *status) | |
c13bb2da | 4446 | { |
9261b245 | 4447 | FloatParts64 p; |
98e256fc | 4448 | |
9261b245 RH |
4449 | float64_unpack_canonical(&p, a, status); |
4450 | parts_sqrt(&p, status, &float64_params); | |
4451 | return float64_round_pack_canonical(&p, status); | |
c13bb2da AB |
4452 | } |
4453 | ||
f131bae8 EC |
4454 | float32 QEMU_FLATTEN float32_sqrt(float32 xa, float_status *s) |
4455 | { | |
4456 | union_float32 ua, ur; | |
4457 | ||
4458 | ua.s = xa; | |
4459 | if (unlikely(!can_use_fpu(s))) { | |
4460 | goto soft; | |
4461 | } | |
4462 | ||
4463 | float32_input_flush1(&ua.s, s); | |
4464 | if (QEMU_HARDFLOAT_1F32_USE_FP) { | |
4465 | if (unlikely(!(fpclassify(ua.h) == FP_NORMAL || | |
4466 | fpclassify(ua.h) == FP_ZERO) || | |
4467 | signbit(ua.h))) { | |
4468 | goto soft; | |
4469 | } | |
4470 | } else if (unlikely(!float32_is_zero_or_normal(ua.s) || | |
4471 | float32_is_neg(ua.s))) { | |
4472 | goto soft; | |
4473 | } | |
4474 | ur.h = sqrtf(ua.h); | |
4475 | return ur.s; | |
4476 | ||
4477 | soft: | |
4478 | return soft_f32_sqrt(ua.s, s); | |
4479 | } | |
4480 | ||
4481 | float64 QEMU_FLATTEN float64_sqrt(float64 xa, float_status *s) | |
4482 | { | |
4483 | union_float64 ua, ur; | |
4484 | ||
4485 | ua.s = xa; | |
4486 | if (unlikely(!can_use_fpu(s))) { | |
4487 | goto soft; | |
4488 | } | |
4489 | ||
4490 | float64_input_flush1(&ua.s, s); | |
4491 | if (QEMU_HARDFLOAT_1F64_USE_FP) { | |
4492 | if (unlikely(!(fpclassify(ua.h) == FP_NORMAL || | |
4493 | fpclassify(ua.h) == FP_ZERO) || | |
4494 | signbit(ua.h))) { | |
4495 | goto soft; | |
4496 | } | |
4497 | } else if (unlikely(!float64_is_zero_or_normal(ua.s) || | |
4498 | float64_is_neg(ua.s))) { | |
4499 | goto soft; | |
4500 | } | |
4501 | ur.h = sqrt(ua.h); | |
4502 | return ur.s; | |
4503 | ||
4504 | soft: | |
4505 | return soft_f64_sqrt(ua.s, s); | |
4506 | } | |
4507 | ||
42636fb9 RH |
4508 | float64 float64r32_sqrt(float64 a, float_status *status) |
4509 | { | |
4510 | FloatParts64 p; | |
4511 | ||
4512 | float64_unpack_canonical(&p, a, status); | |
4513 | parts_sqrt(&p, status, &float64_params); | |
4514 | return float64r32_round_pack_canonical(&p, status); | |
4515 | } | |
4516 | ||
8282310d LZ |
4517 | bfloat16 QEMU_FLATTEN bfloat16_sqrt(bfloat16 a, float_status *status) |
4518 | { | |
9261b245 | 4519 | FloatParts64 p; |
98e256fc | 4520 | |
9261b245 RH |
4521 | bfloat16_unpack_canonical(&p, a, status); |
4522 | parts_sqrt(&p, status, &bfloat16_params); | |
4523 | return bfloat16_round_pack_canonical(&p, status); | |
4524 | } | |
4525 | ||
4526 | float128 QEMU_FLATTEN float128_sqrt(float128 a, float_status *status) | |
4527 | { | |
4528 | FloatParts128 p; | |
4529 | ||
4530 | float128_unpack_canonical(&p, a, status); | |
4531 | parts_sqrt(&p, status, &float128_params); | |
4532 | return float128_round_pack_canonical(&p, status); | |
8282310d LZ |
4533 | } |
4534 | ||
aa5e19cc RH |
4535 | floatx80 floatx80_sqrt(floatx80 a, float_status *s) |
4536 | { | |
4537 | FloatParts128 p; | |
4538 | ||
4539 | if (!floatx80_unpack_canonical(&p, a, s)) { | |
4540 | return floatx80_default_nan(s); | |
4541 | } | |
4542 | parts_sqrt(&p, s, &floatx80_params[s->floatx80_rounding_precision]); | |
4543 | return floatx80_round_pack_canonical(&p, s); | |
4544 | } | |
4545 | ||
2fa3546c RH |
4546 | /* |
4547 | * log2 | |
4548 | */ | |
4549 | float32 float32_log2(float32 a, float_status *status) | |
4550 | { | |
4551 | FloatParts64 p; | |
4552 | ||
4553 | float32_unpack_canonical(&p, a, status); | |
4554 | parts_log2(&p, status, &float32_params); | |
4555 | return float32_round_pack_canonical(&p, status); | |
4556 | } | |
4557 | ||
4558 | float64 float64_log2(float64 a, float_status *status) | |
4559 | { | |
4560 | FloatParts64 p; | |
4561 | ||
4562 | float64_unpack_canonical(&p, a, status); | |
4563 | parts_log2(&p, status, &float64_params); | |
4564 | return float64_round_pack_canonical(&p, status); | |
4565 | } | |
4566 | ||
0218a16e RH |
4567 | /*---------------------------------------------------------------------------- |
4568 | | The pattern for a default generated NaN. | |
4569 | *----------------------------------------------------------------------------*/ | |
4570 | ||
4571 | float16 float16_default_nan(float_status *status) | |
4572 | { | |
0fc07cad RH |
4573 | FloatParts64 p; |
4574 | ||
4575 | parts_default_nan(&p, status); | |
0218a16e | 4576 | p.frac >>= float16_params.frac_shift; |
71fd178e | 4577 | return float16_pack_raw(&p); |
0218a16e RH |
4578 | } |
4579 | ||
4580 | float32 float32_default_nan(float_status *status) | |
4581 | { | |
0fc07cad RH |
4582 | FloatParts64 p; |
4583 | ||
4584 | parts_default_nan(&p, status); | |
0218a16e | 4585 | p.frac >>= float32_params.frac_shift; |
71fd178e | 4586 | return float32_pack_raw(&p); |
0218a16e RH |
4587 | } |
4588 | ||
4589 | float64 float64_default_nan(float_status *status) | |
4590 | { | |
0fc07cad RH |
4591 | FloatParts64 p; |
4592 | ||
4593 | parts_default_nan(&p, status); | |
0218a16e | 4594 | p.frac >>= float64_params.frac_shift; |
71fd178e | 4595 | return float64_pack_raw(&p); |
0218a16e RH |
4596 | } |
4597 | ||
4598 | float128 float128_default_nan(float_status *status) | |
4599 | { | |
e9034ea8 | 4600 | FloatParts128 p; |
0218a16e | 4601 | |
0fc07cad | 4602 | parts_default_nan(&p, status); |
e9034ea8 RH |
4603 | frac_shr(&p, float128_params.frac_shift); |
4604 | return float128_pack_raw(&p); | |
0218a16e | 4605 | } |
c13bb2da | 4606 | |
8282310d LZ |
4607 | bfloat16 bfloat16_default_nan(float_status *status) |
4608 | { | |
0fc07cad RH |
4609 | FloatParts64 p; |
4610 | ||
4611 | parts_default_nan(&p, status); | |
8282310d | 4612 | p.frac >>= bfloat16_params.frac_shift; |
71fd178e | 4613 | return bfloat16_pack_raw(&p); |
8282310d LZ |
4614 | } |
4615 | ||
158142c2 | 4616 | /*---------------------------------------------------------------------------- |
377ed926 RH |
4617 | | Returns a quiet NaN from a signalling NaN for the floating point value `a'. |
4618 | *----------------------------------------------------------------------------*/ | |
4619 | ||
4620 | float16 float16_silence_nan(float16 a, float_status *status) | |
4621 | { | |
3dddb203 RH |
4622 | FloatParts64 p; |
4623 | ||
4624 | float16_unpack_raw(&p, a); | |
377ed926 | 4625 | p.frac <<= float16_params.frac_shift; |
92ff426d | 4626 | parts_silence_nan(&p, status); |
377ed926 | 4627 | p.frac >>= float16_params.frac_shift; |
71fd178e | 4628 | return float16_pack_raw(&p); |
377ed926 RH |
4629 | } |
4630 | ||
4631 | float32 float32_silence_nan(float32 a, float_status *status) | |
4632 | { | |
3dddb203 RH |
4633 | FloatParts64 p; |
4634 | ||
4635 | float32_unpack_raw(&p, a); | |
377ed926 | 4636 | p.frac <<= float32_params.frac_shift; |
92ff426d | 4637 | parts_silence_nan(&p, status); |
377ed926 | 4638 | p.frac >>= float32_params.frac_shift; |
71fd178e | 4639 | return float32_pack_raw(&p); |
377ed926 RH |
4640 | } |
4641 | ||
4642 | float64 float64_silence_nan(float64 a, float_status *status) | |
4643 | { | |
3dddb203 RH |
4644 | FloatParts64 p; |
4645 | ||
4646 | float64_unpack_raw(&p, a); | |
377ed926 | 4647 | p.frac <<= float64_params.frac_shift; |
92ff426d | 4648 | parts_silence_nan(&p, status); |
377ed926 | 4649 | p.frac >>= float64_params.frac_shift; |
71fd178e | 4650 | return float64_pack_raw(&p); |
377ed926 RH |
4651 | } |
4652 | ||
8282310d LZ |
4653 | bfloat16 bfloat16_silence_nan(bfloat16 a, float_status *status) |
4654 | { | |
3dddb203 RH |
4655 | FloatParts64 p; |
4656 | ||
4657 | bfloat16_unpack_raw(&p, a); | |
8282310d | 4658 | p.frac <<= bfloat16_params.frac_shift; |
92ff426d | 4659 | parts_silence_nan(&p, status); |
8282310d | 4660 | p.frac >>= bfloat16_params.frac_shift; |
71fd178e | 4661 | return bfloat16_pack_raw(&p); |
8282310d | 4662 | } |
e6b405fe | 4663 | |
0018b1f4 RH |
4664 | float128 float128_silence_nan(float128 a, float_status *status) |
4665 | { | |
4666 | FloatParts128 p; | |
4667 | ||
4668 | float128_unpack_raw(&p, a); | |
4669 | frac_shl(&p, float128_params.frac_shift); | |
4670 | parts_silence_nan(&p, status); | |
4671 | frac_shr(&p, float128_params.frac_shift); | |
4672 | return float128_pack_raw(&p); | |
4673 | } | |
4674 | ||
e6b405fe AB |
4675 | /*---------------------------------------------------------------------------- |
4676 | | If `a' is denormal and we are in flush-to-zero mode then set the | |
4677 | | input-denormal exception and return zero. Otherwise just return the value. | |
4678 | *----------------------------------------------------------------------------*/ | |
4679 | ||
f8155c1d | 4680 | static bool parts_squash_denormal(FloatParts64 p, float_status *status) |
e6b405fe AB |
4681 | { |
4682 | if (p.exp == 0 && p.frac != 0) { | |
4683 | float_raise(float_flag_input_denormal, status); | |
4684 | return true; | |
4685 | } | |
4686 | ||
4687 | return false; | |
4688 | } | |
4689 | ||
4690 | float16 float16_squash_input_denormal(float16 a, float_status *status) | |
4691 | { | |
4692 | if (status->flush_inputs_to_zero) { | |
3dddb203 RH |
4693 | FloatParts64 p; |
4694 | ||
4695 | float16_unpack_raw(&p, a); | |
e6b405fe AB |
4696 | if (parts_squash_denormal(p, status)) { |
4697 | return float16_set_sign(float16_zero, p.sign); | |
4698 | } | |
4699 | } | |
4700 | return a; | |
4701 | } | |
4702 | ||
4703 | float32 float32_squash_input_denormal(float32 a, float_status *status) | |
4704 | { | |
4705 | if (status->flush_inputs_to_zero) { | |
3dddb203 RH |
4706 | FloatParts64 p; |
4707 | ||
4708 | float32_unpack_raw(&p, a); | |
e6b405fe AB |
4709 | if (parts_squash_denormal(p, status)) { |
4710 | return float32_set_sign(float32_zero, p.sign); | |
4711 | } | |
4712 | } | |
4713 | return a; | |
4714 | } | |
4715 | ||
4716 | float64 float64_squash_input_denormal(float64 a, float_status *status) | |
4717 | { | |
4718 | if (status->flush_inputs_to_zero) { | |
3dddb203 RH |
4719 | FloatParts64 p; |
4720 | ||
4721 | float64_unpack_raw(&p, a); | |
e6b405fe AB |
4722 | if (parts_squash_denormal(p, status)) { |
4723 | return float64_set_sign(float64_zero, p.sign); | |
4724 | } | |
4725 | } | |
4726 | return a; | |
4727 | } | |
4728 | ||
8282310d LZ |
4729 | bfloat16 bfloat16_squash_input_denormal(bfloat16 a, float_status *status) |
4730 | { | |
4731 | if (status->flush_inputs_to_zero) { | |
3dddb203 RH |
4732 | FloatParts64 p; |
4733 | ||
4734 | bfloat16_unpack_raw(&p, a); | |
8282310d LZ |
4735 | if (parts_squash_denormal(p, status)) { |
4736 | return bfloat16_set_sign(bfloat16_zero, p.sign); | |
4737 | } | |
4738 | } | |
4739 | return a; | |
4740 | } | |
4741 | ||
158142c2 | 4742 | /*---------------------------------------------------------------------------- |
feaf2e9c RH |
4743 | | Normalizes the subnormal extended double-precision floating-point value |
4744 | | represented by the denormalized significand `aSig'. The normalized exponent | |
4745 | | and significand are stored at the locations pointed to by `zExpPtr' and | |
158142c2 FB |
4746 | | `zSigPtr', respectively. |
4747 | *----------------------------------------------------------------------------*/ | |
4748 | ||
feaf2e9c RH |
4749 | void normalizeFloatx80Subnormal(uint64_t aSig, int32_t *zExpPtr, |
4750 | uint64_t *zSigPtr) | |
158142c2 | 4751 | { |
8f506c70 | 4752 | int8_t shiftCount; |
158142c2 | 4753 | |
feaf2e9c | 4754 | shiftCount = clz64(aSig); |
158142c2 FB |
4755 | *zSigPtr = aSig<<shiftCount; |
4756 | *zExpPtr = 1 - shiftCount; | |
158142c2 FB |
4757 | } |
4758 | ||
158142c2 FB |
4759 | /*---------------------------------------------------------------------------- |
4760 | | Takes an abstract floating-point value having sign `zSign', exponent `zExp', | |
feaf2e9c RH |
4761 | | and extended significand formed by the concatenation of `zSig0' and `zSig1', |
4762 | | and returns the proper extended double-precision floating-point value | |
4763 | | corresponding to the abstract input. Ordinarily, the abstract value is | |
4764 | | rounded and packed into the extended double-precision format, with the | |
4765 | | inexact exception raised if the abstract input cannot be represented | |
158142c2 FB |
4766 | | exactly. However, if the abstract value is too large, the overflow and |
4767 | | inexact exceptions are raised and an infinity or maximal finite value is | |
4768 | | returned. If the abstract value is too small, the input value is rounded to | |
4769 | | a subnormal number, and the underflow and inexact exceptions are raised if | |
feaf2e9c RH |
4770 | | the abstract input cannot be represented exactly as a subnormal extended |
4771 | | double-precision floating-point number. | |
4772 | | If `roundingPrecision' is floatx80_precision_s or floatx80_precision_d, | |
4773 | | the result is rounded to the same number of bits as single or double | |
4774 | | precision, respectively. Otherwise, the result is rounded to the full | |
4775 | | precision of the extended double-precision format. | |
4776 | | The input significand must be normalized or smaller. If the input | |
4777 | | significand is not normalized, `zExp' must be 0; in that case, the result | |
4778 | | returned is a subnormal number, and it must not require rounding. The | |
4779 | | handling of underflow and overflow follows the IEC/IEEE Standard for Binary | |
4780 | | Floating-Point Arithmetic. | |
158142c2 FB |
4781 | *----------------------------------------------------------------------------*/ |
4782 | ||
feaf2e9c RH |
4783 | floatx80 roundAndPackFloatx80(FloatX80RoundPrec roundingPrecision, bool zSign, |
4784 | int32_t zExp, uint64_t zSig0, uint64_t zSig1, | |
4785 | float_status *status) | |
158142c2 | 4786 | { |
feaf2e9c RH |
4787 | FloatRoundMode roundingMode; |
4788 | bool roundNearestEven, increment, isTiny; | |
4789 | int64_t roundIncrement, roundMask, roundBits; | |
158142c2 | 4790 | |
a2f2d288 | 4791 | roundingMode = status->float_rounding_mode; |
158142c2 | 4792 | roundNearestEven = ( roundingMode == float_round_nearest_even ); |
feaf2e9c RH |
4793 | switch (roundingPrecision) { |
4794 | case floatx80_precision_x: | |
4795 | goto precision80; | |
4796 | case floatx80_precision_d: | |
4797 | roundIncrement = UINT64_C(0x0000000000000400); | |
4798 | roundMask = UINT64_C(0x00000000000007FF); | |
4799 | break; | |
4800 | case floatx80_precision_s: | |
4801 | roundIncrement = UINT64_C(0x0000008000000000); | |
4802 | roundMask = UINT64_C(0x000000FFFFFFFFFF); | |
4803 | break; | |
4804 | default: | |
4805 | g_assert_not_reached(); | |
4806 | } | |
4807 | zSig0 |= ( zSig1 != 0 ); | |
dc355b76 PM |
4808 | switch (roundingMode) { |
4809 | case float_round_nearest_even: | |
f9288a76 | 4810 | case float_round_ties_away: |
dc355b76 PM |
4811 | break; |
4812 | case float_round_to_zero: | |
4813 | roundIncrement = 0; | |
4814 | break; | |
4815 | case float_round_up: | |
feaf2e9c | 4816 | roundIncrement = zSign ? 0 : roundMask; |
dc355b76 PM |
4817 | break; |
4818 | case float_round_down: | |
feaf2e9c | 4819 | roundIncrement = zSign ? roundMask : 0; |
5d64abb3 | 4820 | break; |
dc355b76 PM |
4821 | default: |
4822 | abort(); | |
158142c2 | 4823 | } |
feaf2e9c RH |
4824 | roundBits = zSig0 & roundMask; |
4825 | if ( 0x7FFD <= (uint32_t) ( zExp - 1 ) ) { | |
4826 | if ( ( 0x7FFE < zExp ) | |
4827 | || ( ( zExp == 0x7FFE ) && ( zSig0 + roundIncrement < zSig0 ) ) | |
158142c2 | 4828 | ) { |
feaf2e9c | 4829 | goto overflow; |
158142c2 | 4830 | } |
feaf2e9c | 4831 | if ( zExp <= 0 ) { |
a2f2d288 | 4832 | if (status->flush_to_zero) { |
ff32e16e | 4833 | float_raise(float_flag_output_denormal, status); |
feaf2e9c | 4834 | return packFloatx80(zSign, 0, 0); |
e6afc87f | 4835 | } |
a828b373 | 4836 | isTiny = status->tininess_before_rounding |
feaf2e9c RH |
4837 | || (zExp < 0 ) |
4838 | || (zSig0 <= zSig0 + roundIncrement); | |
4839 | shift64RightJamming( zSig0, 1 - zExp, &zSig0 ); | |
158142c2 | 4840 | zExp = 0; |
feaf2e9c | 4841 | roundBits = zSig0 & roundMask; |
ff32e16e PM |
4842 | if (isTiny && roundBits) { |
4843 | float_raise(float_flag_underflow, status); | |
4844 | } | |
feaf2e9c RH |
4845 | if (roundBits) { |
4846 | float_raise(float_flag_inexact, status); | |
4847 | } | |
4848 | zSig0 += roundIncrement; | |
4849 | if ( (int64_t) zSig0 < 0 ) zExp = 1; | |
4850 | roundIncrement = roundMask + 1; | |
4851 | if ( roundNearestEven && ( roundBits<<1 == roundIncrement ) ) { | |
4852 | roundMask |= roundIncrement; | |
5d64abb3 | 4853 | } |
feaf2e9c RH |
4854 | zSig0 &= ~ roundMask; |
4855 | return packFloatx80( zSign, zExp, zSig0 ); | |
158142c2 FB |
4856 | } |
4857 | } | |
a2f2d288 | 4858 | if (roundBits) { |
d82f3b2d | 4859 | float_raise(float_flag_inexact, status); |
a2f2d288 | 4860 | } |
feaf2e9c RH |
4861 | zSig0 += roundIncrement; |
4862 | if ( zSig0 < roundIncrement ) { | |
4863 | ++zExp; | |
4864 | zSig0 = UINT64_C(0x8000000000000000); | |
158142c2 FB |
4865 | } |
4866 | roundIncrement = roundMask + 1; | |
4867 | if ( roundNearestEven && ( roundBits<<1 == roundIncrement ) ) { | |
4868 | roundMask |= roundIncrement; | |
4869 | } | |
4870 | zSig0 &= ~ roundMask; | |
4871 | if ( zSig0 == 0 ) zExp = 0; | |
4872 | return packFloatx80( zSign, zExp, zSig0 ); | |
4873 | precision80: | |
dc355b76 PM |
4874 | switch (roundingMode) { |
4875 | case float_round_nearest_even: | |
f9288a76 | 4876 | case float_round_ties_away: |
dc355b76 PM |
4877 | increment = ((int64_t)zSig1 < 0); |
4878 | break; | |
4879 | case float_round_to_zero: | |
4880 | increment = 0; | |
4881 | break; | |
4882 | case float_round_up: | |
4883 | increment = !zSign && zSig1; | |
4884 | break; | |
4885 | case float_round_down: | |
4886 | increment = zSign && zSig1; | |
4887 | break; | |
4888 | default: | |
4889 | abort(); | |
158142c2 | 4890 | } |
bb98fe42 | 4891 | if ( 0x7FFD <= (uint32_t) ( zExp - 1 ) ) { |
158142c2 FB |
4892 | if ( ( 0x7FFE < zExp ) |
4893 | || ( ( zExp == 0x7FFE ) | |
e9321124 | 4894 | && ( zSig0 == UINT64_C(0xFFFFFFFFFFFFFFFF) ) |
158142c2 FB |
4895 | && increment |
4896 | ) | |
4897 | ) { | |
4898 | roundMask = 0; | |
4899 | overflow: | |
ff32e16e | 4900 | float_raise(float_flag_overflow | float_flag_inexact, status); |
158142c2 FB |
4901 | if ( ( roundingMode == float_round_to_zero ) |
4902 | || ( zSign && ( roundingMode == float_round_up ) ) | |
4903 | || ( ! zSign && ( roundingMode == float_round_down ) ) | |
4904 | ) { | |
4905 | return packFloatx80( zSign, 0x7FFE, ~ roundMask ); | |
4906 | } | |
0f605c88 LV |
4907 | return packFloatx80(zSign, |
4908 | floatx80_infinity_high, | |
4909 | floatx80_infinity_low); | |
158142c2 FB |
4910 | } |
4911 | if ( zExp <= 0 ) { | |
a828b373 RH |
4912 | isTiny = status->tininess_before_rounding |
4913 | || (zExp < 0) | |
4914 | || !increment | |
4915 | || (zSig0 < UINT64_C(0xFFFFFFFFFFFFFFFF)); | |
158142c2 FB |
4916 | shift64ExtraRightJamming( zSig0, zSig1, 1 - zExp, &zSig0, &zSig1 ); |
4917 | zExp = 0; | |
ff32e16e PM |
4918 | if (isTiny && zSig1) { |
4919 | float_raise(float_flag_underflow, status); | |
4920 | } | |
a2f2d288 | 4921 | if (zSig1) { |
d82f3b2d | 4922 | float_raise(float_flag_inexact, status); |
a2f2d288 | 4923 | } |
dc355b76 PM |
4924 | switch (roundingMode) { |
4925 | case float_round_nearest_even: | |
f9288a76 | 4926 | case float_round_ties_away: |
dc355b76 PM |
4927 | increment = ((int64_t)zSig1 < 0); |
4928 | break; | |
4929 | case float_round_to_zero: | |
4930 | increment = 0; | |
4931 | break; | |
4932 | case float_round_up: | |
4933 | increment = !zSign && zSig1; | |
4934 | break; | |
4935 | case float_round_down: | |
4936 | increment = zSign && zSig1; | |
4937 | break; | |
4938 | default: | |
4939 | abort(); | |
158142c2 FB |
4940 | } |
4941 | if ( increment ) { | |
4942 | ++zSig0; | |
40662886 PMD |
4943 | if (!(zSig1 << 1) && roundNearestEven) { |
4944 | zSig0 &= ~1; | |
4945 | } | |
bb98fe42 | 4946 | if ( (int64_t) zSig0 < 0 ) zExp = 1; |
158142c2 FB |
4947 | } |
4948 | return packFloatx80( zSign, zExp, zSig0 ); | |
4949 | } | |
4950 | } | |
a2f2d288 | 4951 | if (zSig1) { |
d82f3b2d | 4952 | float_raise(float_flag_inexact, status); |
a2f2d288 | 4953 | } |
158142c2 FB |
4954 | if ( increment ) { |
4955 | ++zSig0; | |
4956 | if ( zSig0 == 0 ) { | |
4957 | ++zExp; | |
e9321124 | 4958 | zSig0 = UINT64_C(0x8000000000000000); |
158142c2 FB |
4959 | } |
4960 | else { | |
40662886 PMD |
4961 | if (!(zSig1 << 1) && roundNearestEven) { |
4962 | zSig0 &= ~1; | |
4963 | } | |
158142c2 FB |
4964 | } |
4965 | } | |
4966 | else { | |
4967 | if ( zSig0 == 0 ) zExp = 0; | |
4968 | } | |
4969 | return packFloatx80( zSign, zExp, zSig0 ); | |
4970 | ||
4971 | } | |
4972 | ||
4973 | /*---------------------------------------------------------------------------- | |
4974 | | Takes an abstract floating-point value having sign `zSign', exponent | |
4975 | | `zExp', and significand formed by the concatenation of `zSig0' and `zSig1', | |
4976 | | and returns the proper extended double-precision floating-point value | |
4977 | | corresponding to the abstract input. This routine is just like | |
4978 | | `roundAndPackFloatx80' except that the input significand does not have to be | |
4979 | | normalized. | |
4980 | *----------------------------------------------------------------------------*/ | |
4981 | ||
8da5f1db | 4982 | floatx80 normalizeRoundAndPackFloatx80(FloatX80RoundPrec roundingPrecision, |
c120391c | 4983 | bool zSign, int32_t zExp, |
88857aca LV |
4984 | uint64_t zSig0, uint64_t zSig1, |
4985 | float_status *status) | |
158142c2 | 4986 | { |
8f506c70 | 4987 | int8_t shiftCount; |
158142c2 FB |
4988 | |
4989 | if ( zSig0 == 0 ) { | |
4990 | zSig0 = zSig1; | |
4991 | zSig1 = 0; | |
4992 | zExp -= 64; | |
4993 | } | |
0019d5c3 | 4994 | shiftCount = clz64(zSig0); |
158142c2 FB |
4995 | shortShift128Left( zSig0, zSig1, shiftCount, &zSig0, &zSig1 ); |
4996 | zExp -= shiftCount; | |
ff32e16e PM |
4997 | return roundAndPackFloatx80(roundingPrecision, zSign, zExp, |
4998 | zSig0, zSig1, status); | |
158142c2 FB |
4999 | |
5000 | } | |
5001 | ||
8229c991 AJ |
5002 | /*---------------------------------------------------------------------------- |
5003 | | Returns the binary exponential of the single-precision floating-point value | |
5004 | | `a'. The operation is performed according to the IEC/IEEE Standard for | |
5005 | | Binary Floating-Point Arithmetic. | |
5006 | | | |
5007 | | Uses the following identities: | |
5008 | | | |
5009 | | 1. ------------------------------------------------------------------------- | |
5010 | | x x*ln(2) | |
5011 | | 2 = e | |
5012 | | | |
5013 | | 2. ------------------------------------------------------------------------- | |
5014 | | 2 3 4 5 n | |
5015 | | x x x x x x x | |
5016 | | e = 1 + --- + --- + --- + --- + --- + ... + --- + ... | |
5017 | | 1! 2! 3! 4! 5! n! | |
5018 | *----------------------------------------------------------------------------*/ | |
5019 | ||
5020 | static const float64 float32_exp2_coefficients[15] = | |
5021 | { | |
d5138cf4 PM |
5022 | const_float64( 0x3ff0000000000000ll ), /* 1 */ |
5023 | const_float64( 0x3fe0000000000000ll ), /* 2 */ | |
5024 | const_float64( 0x3fc5555555555555ll ), /* 3 */ | |
5025 | const_float64( 0x3fa5555555555555ll ), /* 4 */ | |
5026 | const_float64( 0x3f81111111111111ll ), /* 5 */ | |
5027 | const_float64( 0x3f56c16c16c16c17ll ), /* 6 */ | |
5028 | const_float64( 0x3f2a01a01a01a01all ), /* 7 */ | |
5029 | const_float64( 0x3efa01a01a01a01all ), /* 8 */ | |
5030 | const_float64( 0x3ec71de3a556c734ll ), /* 9 */ | |
5031 | const_float64( 0x3e927e4fb7789f5cll ), /* 10 */ | |
5032 | const_float64( 0x3e5ae64567f544e4ll ), /* 11 */ | |
5033 | const_float64( 0x3e21eed8eff8d898ll ), /* 12 */ | |
5034 | const_float64( 0x3de6124613a86d09ll ), /* 13 */ | |
5035 | const_float64( 0x3da93974a8c07c9dll ), /* 14 */ | |
5036 | const_float64( 0x3d6ae7f3e733b81fll ), /* 15 */ | |
8229c991 AJ |
5037 | }; |
5038 | ||
e5a41ffa | 5039 | float32 float32_exp2(float32 a, float_status *status) |
8229c991 | 5040 | { |
572c4d86 | 5041 | FloatParts64 xp, xnp, tp, rp; |
8229c991 | 5042 | int i; |
8229c991 | 5043 | |
572c4d86 RH |
5044 | float32_unpack_canonical(&xp, a, status); |
5045 | if (unlikely(xp.cls != float_class_normal)) { | |
5046 | switch (xp.cls) { | |
5047 | case float_class_snan: | |
5048 | case float_class_qnan: | |
5049 | parts_return_nan(&xp, status); | |
5050 | return float32_round_pack_canonical(&xp, status); | |
5051 | case float_class_inf: | |
5052 | return xp.sign ? float32_zero : a; | |
5053 | case float_class_zero: | |
5054 | return float32_one; | |
5055 | default: | |
5056 | break; | |
ff32e16e | 5057 | } |
572c4d86 | 5058 | g_assert_not_reached(); |
8229c991 AJ |
5059 | } |
5060 | ||
ff32e16e | 5061 | float_raise(float_flag_inexact, status); |
8229c991 | 5062 | |
f291f45f | 5063 | float64_unpack_canonical(&tp, float64_ln2, status); |
572c4d86 RH |
5064 | xp = *parts_mul(&xp, &tp, status); |
5065 | xnp = xp; | |
8229c991 | 5066 | |
572c4d86 | 5067 | float64_unpack_canonical(&rp, float64_one, status); |
8229c991 | 5068 | for (i = 0 ; i < 15 ; i++) { |
572c4d86 RH |
5069 | float64_unpack_canonical(&tp, float32_exp2_coefficients[i], status); |
5070 | rp = *parts_muladd(&tp, &xp, &rp, 0, status); | |
5071 | xnp = *parts_mul(&xnp, &xp, status); | |
8229c991 AJ |
5072 | } |
5073 | ||
572c4d86 | 5074 | return float32_round_pack_canonical(&rp, status); |
8229c991 AJ |
5075 | } |
5076 | ||
0f721292 LV |
5077 | /*---------------------------------------------------------------------------- |
5078 | | Rounds the extended double-precision floating-point value `a' | |
5079 | | to the precision provided by floatx80_rounding_precision and returns the | |
5080 | | result as an extended double-precision floating-point value. | |
5081 | | The operation is performed according to the IEC/IEEE Standard for Binary | |
5082 | | Floating-Point Arithmetic. | |
5083 | *----------------------------------------------------------------------------*/ | |
5084 | ||
5085 | floatx80 floatx80_round(floatx80 a, float_status *status) | |
5086 | { | |
45a76b71 RH |
5087 | FloatParts128 p; |
5088 | ||
5089 | if (!floatx80_unpack_canonical(&p, a, status)) { | |
5090 | return floatx80_default_nan(status); | |
5091 | } | |
5092 | return floatx80_round_pack_canonical(&p, status); | |
0f721292 LV |
5093 | } |
5094 | ||
f6b3b108 EC |
5095 | static void __attribute__((constructor)) softfloat_init(void) |
5096 | { | |
5097 | union_float64 ua, ub, uc, ur; | |
5098 | ||
5099 | if (QEMU_NO_HARDFLOAT) { | |
5100 | return; | |
5101 | } | |
5102 | /* | |
5103 | * Test that the host's FMA is not obviously broken. For example, | |
5104 | * glibc < 2.23 can perform an incorrect FMA on certain hosts; see | |
5105 | * https://sourceware.org/bugzilla/show_bug.cgi?id=13304 | |
5106 | */ | |
5107 | ua.s = 0x0020000000000001ULL; | |
5108 | ub.s = 0x3ca0000000000000ULL; | |
5109 | uc.s = 0x0020000000000000ULL; | |
5110 | ur.h = fma(ua.h, ub.h, uc.h); | |
5111 | if (ur.s != 0x0020000000000001ULL) { | |
5112 | force_soft_fma = true; | |
5113 | } | |
5114 | } |