| 1 | /* |
| 2 | * QEMU float support |
| 3 | * |
| 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. |
| 16 | */ |
| 17 | |
| 18 | /* |
| 19 | =============================================================================== |
| 20 | This C source file is part of the SoftFloat IEC/IEEE Floating-point |
| 21 | Arithmetic Package, Release 2a. |
| 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 |
| 30 | is available through the Web page `http://HTTP.CS.Berkeley.EDU/~jhauser/ |
| 31 | arithmetic/SoftFloat.html'. |
| 32 | |
| 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. |
| 38 | |
| 39 | Derivative works are acceptable, even for commercial purposes, so long as |
| 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. |
| 43 | |
| 44 | =============================================================================== |
| 45 | */ |
| 46 | |
| 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 | |
| 82 | #include "qemu/osdep.h" |
| 83 | #include <math.h> |
| 84 | #include "qemu/bitops.h" |
| 85 | #include "fpu/softfloat.h" |
| 86 | #include "fpu/softfloat-parts.h" |
| 87 | |
| 88 | /* We only need stdlib for abort() */ |
| 89 | |
| 90 | /*---------------------------------------------------------------------------- |
| 91 | | Primitive arithmetic functions, including multi-word arithmetic, and |
| 92 | | division and square root approximations. (Can be specialized to target if |
| 93 | | desired.) |
| 94 | *----------------------------------------------------------------------------*/ |
| 95 | #include "fpu/softfloat-macros.h" |
| 96 | |
| 97 | /* |
| 98 | * Hardfloat |
| 99 | * |
| 100 | * Fast emulation of guest FP instructions is challenging for two reasons. |
| 101 | * First, FP instruction semantics are similar but not identical, particularly |
| 102 | * when handling NaNs. Second, emulating at reasonable speed the guest FP |
| 103 | * exception flags is not trivial: reading the host's flags register with a |
| 104 | * feclearexcept & fetestexcept pair is slow [slightly slower than soft-fp], |
| 105 | * and trapping on every FP exception is not fast nor pleasant to work with. |
| 106 | * |
| 107 | * We address these challenges by leveraging the host FPU for a subset of the |
| 108 | * operations. To do this we expand on the idea presented in this paper: |
| 109 | * |
| 110 | * Guo, Yu-Chuan, et al. "Translating the ARM Neon and VFP instructions in a |
| 111 | * binary translator." Software: Practice and Experience 46.12 (2016):1591-1615. |
| 112 | * |
| 113 | * The idea is thus to leverage the host FPU to (1) compute FP operations |
| 114 | * and (2) identify whether FP exceptions occurred while avoiding |
| 115 | * expensive exception flag register accesses. |
| 116 | * |
| 117 | * An important optimization shown in the paper is that given that exception |
| 118 | * flags are rarely cleared by the guest, we can avoid recomputing some flags. |
| 119 | * This is particularly useful for the inexact flag, which is very frequently |
| 120 | * raised in floating-point workloads. |
| 121 | * |
| 122 | * We optimize the code further by deferring to soft-fp whenever FP exception |
| 123 | * detection might get hairy. Two examples: (1) when at least one operand is |
| 124 | * denormal/inf/NaN; (2) when operands are not guaranteed to lead to a 0 result |
| 125 | * and the result is < the minimum normal. |
| 126 | */ |
| 127 | #define GEN_INPUT_FLUSH__NOCHECK(name, soft_t) \ |
| 128 | static inline void name(soft_t *a, float_status *s) \ |
| 129 | { \ |
| 130 | if (unlikely(soft_t ## _is_denormal(*a))) { \ |
| 131 | *a = soft_t ## _set_sign(soft_t ## _zero, \ |
| 132 | soft_t ## _is_neg(*a)); \ |
| 133 | float_raise(float_flag_input_denormal_flushed, s); \ |
| 134 | } \ |
| 135 | } |
| 136 | |
| 137 | GEN_INPUT_FLUSH__NOCHECK(float32_input_flush__nocheck, float32) |
| 138 | GEN_INPUT_FLUSH__NOCHECK(float64_input_flush__nocheck, float64) |
| 139 | #undef GEN_INPUT_FLUSH__NOCHECK |
| 140 | |
| 141 | #define GEN_INPUT_FLUSH1(name, soft_t) \ |
| 142 | static inline void name(soft_t *a, float_status *s) \ |
| 143 | { \ |
| 144 | if (likely(!get_flush_inputs_to_zero(s))) { \ |
| 145 | return; \ |
| 146 | } \ |
| 147 | soft_t ## _input_flush__nocheck(a, s); \ |
| 148 | } |
| 149 | |
| 150 | GEN_INPUT_FLUSH1(float32_input_flush1, float32) |
| 151 | GEN_INPUT_FLUSH1(float64_input_flush1, float64) |
| 152 | #undef GEN_INPUT_FLUSH1 |
| 153 | |
| 154 | #define GEN_INPUT_FLUSH2(name, soft_t) \ |
| 155 | static inline void name(soft_t *a, soft_t *b, float_status *s) \ |
| 156 | { \ |
| 157 | if (likely(!get_flush_inputs_to_zero(s))) { \ |
| 158 | return; \ |
| 159 | } \ |
| 160 | soft_t ## _input_flush__nocheck(a, s); \ |
| 161 | soft_t ## _input_flush__nocheck(b, s); \ |
| 162 | } |
| 163 | |
| 164 | GEN_INPUT_FLUSH2(float32_input_flush2, float32) |
| 165 | GEN_INPUT_FLUSH2(float64_input_flush2, float64) |
| 166 | #undef GEN_INPUT_FLUSH2 |
| 167 | |
| 168 | #define GEN_INPUT_FLUSH3(name, soft_t) \ |
| 169 | static inline void name(soft_t *a, soft_t *b, soft_t *c, float_status *s) \ |
| 170 | { \ |
| 171 | if (likely(!get_flush_inputs_to_zero(s))) { \ |
| 172 | return; \ |
| 173 | } \ |
| 174 | soft_t ## _input_flush__nocheck(a, s); \ |
| 175 | soft_t ## _input_flush__nocheck(b, s); \ |
| 176 | soft_t ## _input_flush__nocheck(c, s); \ |
| 177 | } |
| 178 | |
| 179 | GEN_INPUT_FLUSH3(float32_input_flush3, float32) |
| 180 | GEN_INPUT_FLUSH3(float64_input_flush3, float64) |
| 181 | #undef GEN_INPUT_FLUSH3 |
| 182 | |
| 183 | /* |
| 184 | * Choose whether to use fpclassify or float32/64_* primitives in the generated |
| 185 | * hardfloat functions. Each combination of number of inputs and float size |
| 186 | * gets its own value. |
| 187 | */ |
| 188 | #if defined(__x86_64__) |
| 189 | # define QEMU_HARDFLOAT_1F32_USE_FP 0 |
| 190 | # define QEMU_HARDFLOAT_1F64_USE_FP 1 |
| 191 | # define QEMU_HARDFLOAT_2F32_USE_FP 0 |
| 192 | # define QEMU_HARDFLOAT_2F64_USE_FP 1 |
| 193 | # define QEMU_HARDFLOAT_3F32_USE_FP 0 |
| 194 | # define QEMU_HARDFLOAT_3F64_USE_FP 1 |
| 195 | #else |
| 196 | # define QEMU_HARDFLOAT_1F32_USE_FP 0 |
| 197 | # define QEMU_HARDFLOAT_1F64_USE_FP 0 |
| 198 | # define QEMU_HARDFLOAT_2F32_USE_FP 0 |
| 199 | # define QEMU_HARDFLOAT_2F64_USE_FP 0 |
| 200 | # define QEMU_HARDFLOAT_3F32_USE_FP 0 |
| 201 | # define QEMU_HARDFLOAT_3F64_USE_FP 0 |
| 202 | #endif |
| 203 | |
| 204 | /* |
| 205 | * QEMU_HARDFLOAT_USE_ISINF chooses whether to use isinf() over |
| 206 | * float{32,64}_is_infinity when !USE_FP. |
| 207 | * On x86_64/aarch64, using the former over the latter can yield a ~6% speedup. |
| 208 | * On power64 however, using isinf() reduces fp-bench performance by up to 50%. |
| 209 | */ |
| 210 | #if defined(__x86_64__) || defined(__aarch64__) |
| 211 | # define QEMU_HARDFLOAT_USE_ISINF 1 |
| 212 | #else |
| 213 | # define QEMU_HARDFLOAT_USE_ISINF 0 |
| 214 | #endif |
| 215 | |
| 216 | /* |
| 217 | * Some targets clear the FP flags before most FP operations. This prevents |
| 218 | * the use of hardfloat, since hardfloat relies on the inexact flag being |
| 219 | * already set. |
| 220 | */ |
| 221 | # if defined(__FAST_MATH__) |
| 222 | # warning disabling hardfloat due to -ffast-math: hardfloat requires an exact \ |
| 223 | IEEE implementation |
| 224 | # define QEMU_NO_HARDFLOAT 1 |
| 225 | # define QEMU_SOFTFLOAT_ATTR QEMU_FLATTEN |
| 226 | #else |
| 227 | # define QEMU_NO_HARDFLOAT 0 |
| 228 | # define QEMU_SOFTFLOAT_ATTR QEMU_FLATTEN __attribute__((noinline)) |
| 229 | #endif |
| 230 | |
| 231 | static inline bool can_use_fpu(const float_status *s) |
| 232 | { |
| 233 | if (QEMU_NO_HARDFLOAT) { |
| 234 | return false; |
| 235 | } |
| 236 | return likely(s->float_exception_flags & float_flag_inexact && |
| 237 | get_float_rounding_mode(s) == float_round_nearest_even); |
| 238 | } |
| 239 | |
| 240 | /* |
| 241 | * Hardfloat generation functions. Each operation can have two flavors: |
| 242 | * either using softfloat primitives (e.g. float32_is_zero_or_normal) for |
| 243 | * most condition checks, or native ones (e.g. fpclassify). |
| 244 | * |
| 245 | * The flavor is chosen by the callers. Instead of using macros, we rely on the |
| 246 | * compiler to propagate constants and inline everything into the callers. |
| 247 | * |
| 248 | * We only generate functions for operations with two inputs, since only |
| 249 | * these are common enough to justify consolidating them into common code. |
| 250 | */ |
| 251 | |
| 252 | typedef union { |
| 253 | float32 s; |
| 254 | float h; |
| 255 | } union_float32; |
| 256 | |
| 257 | typedef union { |
| 258 | float64 s; |
| 259 | double h; |
| 260 | } union_float64; |
| 261 | |
| 262 | typedef bool (*f32_check_fn)(union_float32 a, union_float32 b); |
| 263 | typedef bool (*f64_check_fn)(union_float64 a, union_float64 b); |
| 264 | |
| 265 | typedef float32 (*soft_f32_op2_fn)(float32 a, float32 b, float_status *s); |
| 266 | typedef float64 (*soft_f64_op2_fn)(float64 a, float64 b, float_status *s); |
| 267 | typedef float (*hard_f32_op2_fn)(float a, float b); |
| 268 | typedef double (*hard_f64_op2_fn)(double a, double b); |
| 269 | |
| 270 | /* 2-input is-zero-or-normal */ |
| 271 | static inline bool f32_is_zon2(union_float32 a, union_float32 b) |
| 272 | { |
| 273 | if (QEMU_HARDFLOAT_2F32_USE_FP) { |
| 274 | /* |
| 275 | * Not using a temp variable for consecutive fpclassify calls ends up |
| 276 | * generating faster code. |
| 277 | */ |
| 278 | return (fpclassify(a.h) == FP_NORMAL || fpclassify(a.h) == FP_ZERO) && |
| 279 | (fpclassify(b.h) == FP_NORMAL || fpclassify(b.h) == FP_ZERO); |
| 280 | } |
| 281 | return float32_is_zero_or_normal(a.s) && |
| 282 | float32_is_zero_or_normal(b.s); |
| 283 | } |
| 284 | |
| 285 | static inline bool f64_is_zon2(union_float64 a, union_float64 b) |
| 286 | { |
| 287 | if (QEMU_HARDFLOAT_2F64_USE_FP) { |
| 288 | return (fpclassify(a.h) == FP_NORMAL || fpclassify(a.h) == FP_ZERO) && |
| 289 | (fpclassify(b.h) == FP_NORMAL || fpclassify(b.h) == FP_ZERO); |
| 290 | } |
| 291 | return float64_is_zero_or_normal(a.s) && |
| 292 | float64_is_zero_or_normal(b.s); |
| 293 | } |
| 294 | |
| 295 | /* 3-input is-zero-or-normal */ |
| 296 | static inline |
| 297 | bool f32_is_zon3(union_float32 a, union_float32 b, union_float32 c) |
| 298 | { |
| 299 | if (QEMU_HARDFLOAT_3F32_USE_FP) { |
| 300 | return (fpclassify(a.h) == FP_NORMAL || fpclassify(a.h) == FP_ZERO) && |
| 301 | (fpclassify(b.h) == FP_NORMAL || fpclassify(b.h) == FP_ZERO) && |
| 302 | (fpclassify(c.h) == FP_NORMAL || fpclassify(c.h) == FP_ZERO); |
| 303 | } |
| 304 | return float32_is_zero_or_normal(a.s) && |
| 305 | float32_is_zero_or_normal(b.s) && |
| 306 | float32_is_zero_or_normal(c.s); |
| 307 | } |
| 308 | |
| 309 | static inline |
| 310 | bool f64_is_zon3(union_float64 a, union_float64 b, union_float64 c) |
| 311 | { |
| 312 | if (QEMU_HARDFLOAT_3F64_USE_FP) { |
| 313 | return (fpclassify(a.h) == FP_NORMAL || fpclassify(a.h) == FP_ZERO) && |
| 314 | (fpclassify(b.h) == FP_NORMAL || fpclassify(b.h) == FP_ZERO) && |
| 315 | (fpclassify(c.h) == FP_NORMAL || fpclassify(c.h) == FP_ZERO); |
| 316 | } |
| 317 | return float64_is_zero_or_normal(a.s) && |
| 318 | float64_is_zero_or_normal(b.s) && |
| 319 | float64_is_zero_or_normal(c.s); |
| 320 | } |
| 321 | |
| 322 | static inline bool f32_is_inf(union_float32 a) |
| 323 | { |
| 324 | if (QEMU_HARDFLOAT_USE_ISINF) { |
| 325 | return isinf(a.h); |
| 326 | } |
| 327 | return float32_is_infinity(a.s); |
| 328 | } |
| 329 | |
| 330 | static inline bool f64_is_inf(union_float64 a) |
| 331 | { |
| 332 | if (QEMU_HARDFLOAT_USE_ISINF) { |
| 333 | return isinf(a.h); |
| 334 | } |
| 335 | return float64_is_infinity(a.s); |
| 336 | } |
| 337 | |
| 338 | static inline float32 |
| 339 | float32_gen2(float32 xa, float32 xb, float_status *s, |
| 340 | hard_f32_op2_fn hard, soft_f32_op2_fn soft, |
| 341 | f32_check_fn pre, f32_check_fn post) |
| 342 | { |
| 343 | union_float32 ua, ub, ur; |
| 344 | |
| 345 | ua.s = xa; |
| 346 | ub.s = xb; |
| 347 | |
| 348 | if (unlikely(!can_use_fpu(s))) { |
| 349 | goto soft; |
| 350 | } |
| 351 | |
| 352 | float32_input_flush2(&ua.s, &ub.s, s); |
| 353 | if (unlikely(!pre(ua, ub))) { |
| 354 | goto soft; |
| 355 | } |
| 356 | |
| 357 | ur.h = hard(ua.h, ub.h); |
| 358 | if (unlikely(f32_is_inf(ur))) { |
| 359 | float_raise(float_flag_overflow, s); |
| 360 | } else if (unlikely(fabsf(ur.h) <= FLT_MIN) && post(ua, ub)) { |
| 361 | goto soft; |
| 362 | } |
| 363 | return ur.s; |
| 364 | |
| 365 | soft: |
| 366 | return soft(ua.s, ub.s, s); |
| 367 | } |
| 368 | |
| 369 | static inline float64 |
| 370 | float64_gen2(float64 xa, float64 xb, float_status *s, |
| 371 | hard_f64_op2_fn hard, soft_f64_op2_fn soft, |
| 372 | f64_check_fn pre, f64_check_fn post) |
| 373 | { |
| 374 | union_float64 ua, ub, ur; |
| 375 | |
| 376 | ua.s = xa; |
| 377 | ub.s = xb; |
| 378 | |
| 379 | if (unlikely(!can_use_fpu(s))) { |
| 380 | goto soft; |
| 381 | } |
| 382 | |
| 383 | float64_input_flush2(&ua.s, &ub.s, s); |
| 384 | if (unlikely(!pre(ua, ub))) { |
| 385 | goto soft; |
| 386 | } |
| 387 | |
| 388 | ur.h = hard(ua.h, ub.h); |
| 389 | if (unlikely(f64_is_inf(ur))) { |
| 390 | float_raise(float_flag_overflow, s); |
| 391 | } else if (unlikely(fabs(ur.h) <= DBL_MIN) && post(ua, ub)) { |
| 392 | goto soft; |
| 393 | } |
| 394 | return ur.s; |
| 395 | |
| 396 | soft: |
| 397 | return soft(ua.s, ub.s, s); |
| 398 | } |
| 399 | |
| 400 | /* Simple helpers for checking if, or what kind of, NaN we have */ |
| 401 | static inline __attribute__((unused)) bool is_nan(FloatClass c) |
| 402 | { |
| 403 | return unlikely(c >= float_class_qnan); |
| 404 | } |
| 405 | |
| 406 | static inline __attribute__((unused)) bool is_snan(FloatClass c) |
| 407 | { |
| 408 | return c == float_class_snan; |
| 409 | } |
| 410 | |
| 411 | static inline __attribute__((unused)) bool is_qnan(FloatClass c) |
| 412 | { |
| 413 | return c == float_class_qnan; |
| 414 | } |
| 415 | |
| 416 | /* |
| 417 | * Return true if the float_cmask has only normals in it |
| 418 | * (including input denormals that were canonicalized) |
| 419 | */ |
| 420 | static inline bool cmask_is_only_normals(int cmask) |
| 421 | { |
| 422 | return !(cmask & ~float_cmask_anynorm); |
| 423 | } |
| 424 | |
| 425 | static inline bool is_anynorm(FloatClass c) |
| 426 | { |
| 427 | return float_cmask(c) & float_cmask_anynorm; |
| 428 | } |
| 429 | |
| 430 | /* Record when denormals have been used. */ |
| 431 | static void record_denormals_used(int mask, float_status *s) |
| 432 | { |
| 433 | if (unlikely(mask & float_cmask_denormal)) { |
| 434 | float_raise(float_flag_input_denormal_used, s); |
| 435 | } |
| 436 | } |
| 437 | |
| 438 | /* FloatParts256 is entirely internal, for parts128_mul* */ |
| 439 | typedef struct { |
| 440 | FloatClass cls; |
| 441 | bool sign; |
| 442 | int32_t exp; |
| 443 | uint64_t frac_hi; |
| 444 | uint64_t frac_hm; /* high-middle */ |
| 445 | uint64_t frac_lm; /* low-middle */ |
| 446 | uint64_t frac_lo; |
| 447 | } FloatParts256; |
| 448 | |
| 449 | /* |
| 450 | * Minimum and maximum exponent for scalbn. |
| 451 | * These are chosen to be much larger than the true exponent for any input format, |
| 452 | * but also not at the bounds of INT32_{MIN,MAX} so that we can perform other |
| 453 | * arithmetic on the exponent without overflowing, particularly during uncanon. |
| 454 | */ |
| 455 | #define SCALBN_EXP_MAX 0x0fffffff |
| 456 | #define SCALBN_EXP_MIN (-SCALBN_EXP_MAX) |
| 457 | |
| 458 | /* These apply to the most significant word of each FloatPartsN. */ |
| 459 | #define DECOMPOSED_BINARY_POINT 63 |
| 460 | #define DECOMPOSED_IMPLICIT_BIT (1ull << DECOMPOSED_BINARY_POINT) |
| 461 | |
| 462 | /* Expand fields based on the size of exponent and fraction */ |
| 463 | #define FLOAT_PARAMS_(E) \ |
| 464 | .exp_size = E, \ |
| 465 | .exp_bias = ((1 << E) - 1) >> 1, \ |
| 466 | .exp_re_bias = (1 << (E - 1)) + (1 << (E - 2)), \ |
| 467 | .exp_max = (1 << E) - 1 |
| 468 | |
| 469 | #define FLOAT_PARAMS(E, F) \ |
| 470 | FLOAT_PARAMS_(E), \ |
| 471 | .frac_size = F, \ |
| 472 | .frac_shift = (-F - 1) & 63, \ |
| 473 | .round_mask = (1ull << ((-F - 1) & 63)) - 1 |
| 474 | |
| 475 | const FloatFmt float4_e2m1_params = { |
| 476 | FLOAT_PARAMS(2, 1), |
| 477 | .exp_max_kind = float_expmax_normal, |
| 478 | }; |
| 479 | |
| 480 | const FloatFmt float8_e4m3_params = { |
| 481 | FLOAT_PARAMS(4, 3), |
| 482 | .exp_max_kind = float_expmax_e4m3 |
| 483 | }; |
| 484 | |
| 485 | /* 110 << frac_shift, with the implicit bit set */ |
| 486 | #define E4M3_NORMAL_FRAC_MAX 0xe000000000000000ull |
| 487 | /* 111 << frac_shift, no implicit bit */ |
| 488 | #define E4M3_NAN_FRAC 0x7000000000000000ull |
| 489 | |
| 490 | const FloatFmt float8_e5m2_params = { |
| 491 | FLOAT_PARAMS(5, 2) |
| 492 | }; |
| 493 | |
| 494 | const FloatFmt float16_params = { |
| 495 | FLOAT_PARAMS(5, 10) |
| 496 | }; |
| 497 | |
| 498 | static const FloatFmt float16_params_ahp = { |
| 499 | FLOAT_PARAMS(5, 10), |
| 500 | .exp_max_kind = float_expmax_normal, |
| 501 | .overflow_raises_invalid = true, |
| 502 | }; |
| 503 | |
| 504 | const FloatFmt bfloat16_params = { |
| 505 | FLOAT_PARAMS(8, 7) |
| 506 | }; |
| 507 | |
| 508 | const FloatFmt float32_params = { |
| 509 | FLOAT_PARAMS(8, 23) |
| 510 | }; |
| 511 | |
| 512 | const FloatFmt float64_params = { |
| 513 | FLOAT_PARAMS(11, 52) |
| 514 | }; |
| 515 | |
| 516 | const FloatFmt float128_params = { |
| 517 | FLOAT_PARAMS(15, 112) |
| 518 | }; |
| 519 | |
| 520 | #define FLOATX80_PARAMS(R) \ |
| 521 | FLOAT_PARAMS_(15), \ |
| 522 | .frac_size = R == 64 ? 63 : R, \ |
| 523 | .frac_shift = 0, \ |
| 524 | .round_mask = R == 64 ? -1 : (1ull << ((-R - 1) & 63)) - 1 |
| 525 | |
| 526 | static const FloatFmt floatx80_params[3] = { |
| 527 | [floatx80_precision_s] = { FLOATX80_PARAMS(23) }, |
| 528 | [floatx80_precision_d] = { FLOATX80_PARAMS(52) }, |
| 529 | [floatx80_precision_x] = { |
| 530 | FLOATX80_PARAMS(64), |
| 531 | .has_explicit_bit = true, |
| 532 | }, |
| 533 | }; |
| 534 | |
| 535 | /* Unpack a float to parts, but do not canonicalize. */ |
| 536 | static inline QEMU_ALWAYS_INLINE |
| 537 | FloatParts64 unpack_raw64(const FloatFmt *fmt, uint64_t raw) |
| 538 | { |
| 539 | const int f_size = fmt->frac_size; |
| 540 | const int e_size = fmt->exp_size; |
| 541 | |
| 542 | return (FloatParts64) { |
| 543 | .cls = float_class_unclassified, |
| 544 | .sign = extract64(raw, f_size + e_size, 1), |
| 545 | .exp = extract64(raw, f_size, e_size), |
| 546 | .frac = extract64(raw, 0, f_size) |
| 547 | }; |
| 548 | } |
| 549 | |
| 550 | static FloatParts128 float128_unpack_raw(float128 f) |
| 551 | { |
| 552 | const int f_size = float128_params.frac_size - 64; |
| 553 | const int e_size = float128_params.exp_size; |
| 554 | |
| 555 | return (FloatParts128) { |
| 556 | .cls = float_class_unclassified, |
| 557 | .sign = extract64(f.high, f_size + e_size, 1), |
| 558 | .exp = extract64(f.high, f_size, e_size), |
| 559 | .frac_hi = extract64(f.high, 0, f_size), |
| 560 | .frac_lo = f.low, |
| 561 | }; |
| 562 | } |
| 563 | |
| 564 | /* Pack a float from parts, but do not canonicalize. */ |
| 565 | static inline uint64_t QEMU_ALWAYS_INLINE |
| 566 | pack_raw64(const FloatParts64 *p, const FloatFmt *fmt) |
| 567 | { |
| 568 | const int f_size = fmt->frac_size; |
| 569 | const int e_size = fmt->exp_size; |
| 570 | uint64_t ret; |
| 571 | |
| 572 | ret = (uint64_t)p->sign << (f_size + e_size); |
| 573 | ret = deposit64(ret, f_size, e_size, p->exp); |
| 574 | ret = deposit64(ret, 0, f_size, p->frac); |
| 575 | return ret; |
| 576 | } |
| 577 | |
| 578 | static float128 QEMU_FLATTEN float128_pack_raw(const FloatParts128 *p) |
| 579 | { |
| 580 | const int f_size = float128_params.frac_size - 64; |
| 581 | const int e_size = float128_params.exp_size; |
| 582 | uint64_t hi; |
| 583 | |
| 584 | hi = (uint64_t)p->sign << (f_size + e_size); |
| 585 | hi = deposit64(hi, f_size, e_size, p->exp); |
| 586 | hi = deposit64(hi, 0, f_size, p->frac_hi); |
| 587 | return make_float128(hi, p->frac_lo); |
| 588 | } |
| 589 | |
| 590 | /*---------------------------------------------------------------------------- |
| 591 | | Functions and definitions to determine: (1) whether tininess for underflow |
| 592 | | is detected before or after rounding by default, (2) what (if anything) |
| 593 | | happens when exceptions are raised, (3) how signaling NaNs are distinguished |
| 594 | | from quiet NaNs, (4) the default generated quiet NaNs, and (5) how NaNs |
| 595 | | are propagated from function inputs to output. These details are target- |
| 596 | | specific. |
| 597 | *----------------------------------------------------------------------------*/ |
| 598 | #include "softfloat-specialize.c.inc" |
| 599 | |
| 600 | static int32_t exp_scalbn(int32_t exp, int32_t scale) |
| 601 | { |
| 602 | /* |
| 603 | * Catch chains of scaling which lose information. |
| 604 | * In particular, if the exponent has been saturated, |
| 605 | * do not allow it to become unsaturated. |
| 606 | */ |
| 607 | if (exp >= SCALBN_EXP_MAX) { |
| 608 | assert(scale >= 0); |
| 609 | } else if (exp <= SCALBN_EXP_MIN) { |
| 610 | assert(scale <= 0); |
| 611 | } |
| 612 | if (sadd32_overflow(exp, scale, &exp)) { |
| 613 | exp = scale < 0 ? SCALBN_EXP_MIN : SCALBN_EXP_MAX; |
| 614 | } else { |
| 615 | exp = MIN(MAX(exp, SCALBN_EXP_MIN), SCALBN_EXP_MAX); |
| 616 | } |
| 617 | return exp; |
| 618 | } |
| 619 | |
| 620 | /* |
| 621 | * Helper functions for softfloat-parts.c.inc, per-size operations. |
| 622 | */ |
| 623 | |
| 624 | static bool frac64_add(FloatParts64 *r, |
| 625 | const FloatParts64 *a, const FloatParts64 *b) |
| 626 | { |
| 627 | return uadd64_overflow(a->frac, b->frac, &r->frac); |
| 628 | } |
| 629 | |
| 630 | static bool frac128_add(FloatParts128 *r, |
| 631 | const FloatParts128 *a, const FloatParts128 *b) |
| 632 | { |
| 633 | bool c = 0; |
| 634 | r->frac_lo = uadd64_carry(a->frac_lo, b->frac_lo, &c); |
| 635 | r->frac_hi = uadd64_carry(a->frac_hi, b->frac_hi, &c); |
| 636 | return c; |
| 637 | } |
| 638 | |
| 639 | static bool frac256_add(FloatParts256 *r, |
| 640 | const FloatParts256 *a, const FloatParts256 *b) |
| 641 | { |
| 642 | bool c = 0; |
| 643 | r->frac_lo = uadd64_carry(a->frac_lo, b->frac_lo, &c); |
| 644 | r->frac_lm = uadd64_carry(a->frac_lm, b->frac_lm, &c); |
| 645 | r->frac_hm = uadd64_carry(a->frac_hm, b->frac_hm, &c); |
| 646 | r->frac_hi = uadd64_carry(a->frac_hi, b->frac_hi, &c); |
| 647 | return c; |
| 648 | } |
| 649 | |
| 650 | static bool frac64_addi(FloatParts64 *r, const FloatParts64 *a, uint64_t c) |
| 651 | { |
| 652 | return uadd64_overflow(a->frac, c, &r->frac); |
| 653 | } |
| 654 | |
| 655 | static bool frac128_addi(FloatParts128 *r, const FloatParts128 *a, uint64_t c) |
| 656 | { |
| 657 | c = uadd64_overflow(a->frac_lo, c, &r->frac_lo); |
| 658 | return uadd64_overflow(a->frac_hi, c, &r->frac_hi); |
| 659 | } |
| 660 | |
| 661 | static void frac64_allones(FloatParts64 *a) |
| 662 | { |
| 663 | a->frac = -1; |
| 664 | } |
| 665 | |
| 666 | static void frac128_allones(FloatParts128 *a) |
| 667 | { |
| 668 | a->frac_hi = a->frac_lo = -1; |
| 669 | } |
| 670 | |
| 671 | static FloatRelation frac64_cmp(const FloatParts64 *a, const FloatParts64 *b) |
| 672 | { |
| 673 | return (a->frac == b->frac ? float_relation_equal |
| 674 | : a->frac < b->frac ? float_relation_less |
| 675 | : float_relation_greater); |
| 676 | } |
| 677 | |
| 678 | static FloatRelation frac128_cmp(const FloatParts128 *a, const FloatParts128 *b) |
| 679 | { |
| 680 | uint64_t ta = a->frac_hi, tb = b->frac_hi; |
| 681 | if (ta == tb) { |
| 682 | ta = a->frac_lo, tb = b->frac_lo; |
| 683 | if (ta == tb) { |
| 684 | return float_relation_equal; |
| 685 | } |
| 686 | } |
| 687 | return ta < tb ? float_relation_less : float_relation_greater; |
| 688 | } |
| 689 | |
| 690 | static void frac64_clear(FloatParts64 *a) |
| 691 | { |
| 692 | a->frac = 0; |
| 693 | } |
| 694 | |
| 695 | static void frac128_clear(FloatParts128 *a) |
| 696 | { |
| 697 | a->frac_hi = a->frac_lo = 0; |
| 698 | } |
| 699 | |
| 700 | static bool frac64_div(FloatParts64 *a, const FloatParts64 *b) |
| 701 | { |
| 702 | uint64_t n1, n0, r, q; |
| 703 | bool ret; |
| 704 | |
| 705 | /* |
| 706 | * We want a 2*N / N-bit division to produce exactly an N-bit |
| 707 | * result, so that we do not lose any precision and so that we |
| 708 | * do not have to renormalize afterward. If A.frac < B.frac, |
| 709 | * then division would produce an (N-1)-bit result; shift A left |
| 710 | * by one to produce the an N-bit result, and return true to |
| 711 | * decrement the exponent to match. |
| 712 | * |
| 713 | * The udiv_qrnnd algorithm that we're using requires normalization, |
| 714 | * i.e. the msb of the denominator must be set, which is already true. |
| 715 | */ |
| 716 | ret = a->frac < b->frac; |
| 717 | if (ret) { |
| 718 | n0 = a->frac; |
| 719 | n1 = 0; |
| 720 | } else { |
| 721 | n0 = a->frac >> 1; |
| 722 | n1 = a->frac << 63; |
| 723 | } |
| 724 | q = udiv_qrnnd(&r, n0, n1, b->frac); |
| 725 | |
| 726 | /* Set lsb if there is a remainder, to set inexact. */ |
| 727 | a->frac = q | (r != 0); |
| 728 | |
| 729 | return ret; |
| 730 | } |
| 731 | |
| 732 | static bool frac128_div(FloatParts128 *a, const FloatParts128 *b) |
| 733 | { |
| 734 | uint64_t q0, q1, a0, a1, b0, b1; |
| 735 | uint64_t r0, r1, r2, r3, t0, t1, t2, t3; |
| 736 | bool ret = false; |
| 737 | |
| 738 | a0 = a->frac_hi, a1 = a->frac_lo; |
| 739 | b0 = b->frac_hi, b1 = b->frac_lo; |
| 740 | |
| 741 | ret = lt128(a0, a1, b0, b1); |
| 742 | if (!ret) { |
| 743 | a1 = shr_double(a0, a1, 1); |
| 744 | a0 = a0 >> 1; |
| 745 | } |
| 746 | |
| 747 | /* Use 128/64 -> 64 division as estimate for 192/128 -> 128 division. */ |
| 748 | q0 = estimateDiv128To64(a0, a1, b0); |
| 749 | |
| 750 | /* |
| 751 | * Estimate is high because B1 was not included (unless B1 == 0). |
| 752 | * Reduce quotient and increase remainder until remainder is non-negative. |
| 753 | * This loop will execute 0 to 2 times. |
| 754 | */ |
| 755 | mul128By64To192(b0, b1, q0, &t0, &t1, &t2); |
| 756 | sub192(a0, a1, 0, t0, t1, t2, &r0, &r1, &r2); |
| 757 | while (r0 != 0) { |
| 758 | q0--; |
| 759 | add192(r0, r1, r2, 0, b0, b1, &r0, &r1, &r2); |
| 760 | } |
| 761 | |
| 762 | /* Repeat using the remainder, producing a second word of quotient. */ |
| 763 | q1 = estimateDiv128To64(r1, r2, b0); |
| 764 | mul128By64To192(b0, b1, q1, &t1, &t2, &t3); |
| 765 | sub192(r1, r2, 0, t1, t2, t3, &r1, &r2, &r3); |
| 766 | while (r1 != 0) { |
| 767 | q1--; |
| 768 | add192(r1, r2, r3, 0, b0, b1, &r1, &r2, &r3); |
| 769 | } |
| 770 | |
| 771 | /* Any remainder indicates inexact; set sticky bit. */ |
| 772 | q1 |= (r2 | r3) != 0; |
| 773 | |
| 774 | a->frac_hi = q0; |
| 775 | a->frac_lo = q1; |
| 776 | return ret; |
| 777 | } |
| 778 | |
| 779 | static bool frac64_eqz(const FloatParts64 *a) |
| 780 | { |
| 781 | return a->frac == 0; |
| 782 | } |
| 783 | |
| 784 | static bool frac128_eqz(const FloatParts128 *a) |
| 785 | { |
| 786 | return (a->frac_hi | a->frac_lo) == 0; |
| 787 | } |
| 788 | |
| 789 | static void frac64_mulw(FloatParts128 *r, |
| 790 | const FloatParts64 *a, const FloatParts64 *b) |
| 791 | { |
| 792 | mulu64(&r->frac_lo, &r->frac_hi, a->frac, b->frac); |
| 793 | } |
| 794 | |
| 795 | static void frac128_mulw(FloatParts256 *r, |
| 796 | const FloatParts128 *a, const FloatParts128 *b) |
| 797 | { |
| 798 | mul128To256(a->frac_hi, a->frac_lo, b->frac_hi, b->frac_lo, |
| 799 | &r->frac_hi, &r->frac_hm, &r->frac_lm, &r->frac_lo); |
| 800 | } |
| 801 | |
| 802 | static void frac64_neg(FloatParts64 *a) |
| 803 | { |
| 804 | a->frac = -a->frac; |
| 805 | } |
| 806 | |
| 807 | static void frac128_neg(FloatParts128 *a) |
| 808 | { |
| 809 | bool c = 0; |
| 810 | a->frac_lo = usub64_borrow(0, a->frac_lo, &c); |
| 811 | a->frac_hi = usub64_borrow(0, a->frac_hi, &c); |
| 812 | } |
| 813 | |
| 814 | static void frac256_neg(FloatParts256 *a) |
| 815 | { |
| 816 | bool c = 0; |
| 817 | a->frac_lo = usub64_borrow(0, a->frac_lo, &c); |
| 818 | a->frac_lm = usub64_borrow(0, a->frac_lm, &c); |
| 819 | a->frac_hm = usub64_borrow(0, a->frac_hm, &c); |
| 820 | a->frac_hi = usub64_borrow(0, a->frac_hi, &c); |
| 821 | } |
| 822 | |
| 823 | static int frac64_normalize(FloatParts64 *a) |
| 824 | { |
| 825 | if (a->frac) { |
| 826 | int shift = clz64(a->frac); |
| 827 | a->frac <<= shift; |
| 828 | return shift; |
| 829 | } |
| 830 | return 64; |
| 831 | } |
| 832 | |
| 833 | static int frac128_normalize(FloatParts128 *a) |
| 834 | { |
| 835 | if (a->frac_hi) { |
| 836 | int shl = clz64(a->frac_hi); |
| 837 | a->frac_hi = shl_double(a->frac_hi, a->frac_lo, shl); |
| 838 | a->frac_lo <<= shl; |
| 839 | return shl; |
| 840 | } else if (a->frac_lo) { |
| 841 | int shl = clz64(a->frac_lo); |
| 842 | a->frac_hi = a->frac_lo << shl; |
| 843 | a->frac_lo = 0; |
| 844 | return shl + 64; |
| 845 | } |
| 846 | return 128; |
| 847 | } |
| 848 | |
| 849 | static int frac256_normalize(FloatParts256 *a) |
| 850 | { |
| 851 | uint64_t a0 = a->frac_hi, a1 = a->frac_hm; |
| 852 | uint64_t a2 = a->frac_lm, a3 = a->frac_lo; |
| 853 | int ret, shl; |
| 854 | |
| 855 | if (likely(a0)) { |
| 856 | shl = clz64(a0); |
| 857 | if (shl == 0) { |
| 858 | return 0; |
| 859 | } |
| 860 | ret = shl; |
| 861 | } else { |
| 862 | if (a1) { |
| 863 | ret = 64; |
| 864 | a0 = a1, a1 = a2, a2 = a3, a3 = 0; |
| 865 | } else if (a2) { |
| 866 | ret = 128; |
| 867 | a0 = a2, a1 = a3, a2 = 0, a3 = 0; |
| 868 | } else if (a3) { |
| 869 | ret = 192; |
| 870 | a0 = a3, a1 = 0, a2 = 0, a3 = 0; |
| 871 | } else { |
| 872 | ret = 256; |
| 873 | a0 = 0, a1 = 0, a2 = 0, a3 = 0; |
| 874 | goto done; |
| 875 | } |
| 876 | shl = clz64(a0); |
| 877 | if (shl == 0) { |
| 878 | goto done; |
| 879 | } |
| 880 | ret += shl; |
| 881 | } |
| 882 | |
| 883 | a0 = shl_double(a0, a1, shl); |
| 884 | a1 = shl_double(a1, a2, shl); |
| 885 | a2 = shl_double(a2, a3, shl); |
| 886 | a3 <<= shl; |
| 887 | |
| 888 | done: |
| 889 | a->frac_hi = a0; |
| 890 | a->frac_hm = a1; |
| 891 | a->frac_lm = a2; |
| 892 | a->frac_lo = a3; |
| 893 | return ret; |
| 894 | } |
| 895 | |
| 896 | static void frac64_modrem(FloatParts64 *a, const FloatParts64 *b, |
| 897 | uint64_t *mod_quot) |
| 898 | { |
| 899 | uint64_t a0, a1, b0, t0, t1, q, quot; |
| 900 | int exp_diff = a->exp - b->exp; |
| 901 | int shift; |
| 902 | |
| 903 | a0 = a->frac; |
| 904 | a1 = 0; |
| 905 | |
| 906 | if (exp_diff < -1) { |
| 907 | if (mod_quot) { |
| 908 | *mod_quot = 0; |
| 909 | } |
| 910 | return; |
| 911 | } |
| 912 | if (exp_diff == -1) { |
| 913 | a0 >>= 1; |
| 914 | exp_diff = 0; |
| 915 | } |
| 916 | |
| 917 | b0 = b->frac; |
| 918 | quot = q = b0 <= a0; |
| 919 | if (q) { |
| 920 | a0 -= b0; |
| 921 | } |
| 922 | |
| 923 | exp_diff -= 64; |
| 924 | while (exp_diff > 0) { |
| 925 | q = estimateDiv128To64(a0, a1, b0); |
| 926 | q = q > 2 ? q - 2 : 0; |
| 927 | mul64To128(b0, q, &t0, &t1); |
| 928 | sub128(a0, a1, t0, t1, &a0, &a1); |
| 929 | shortShift128Left(a0, a1, 62, &a0, &a1); |
| 930 | exp_diff -= 62; |
| 931 | quot = (quot << 62) + q; |
| 932 | } |
| 933 | |
| 934 | exp_diff += 64; |
| 935 | if (exp_diff > 0) { |
| 936 | q = estimateDiv128To64(a0, a1, b0); |
| 937 | q = q > 2 ? (q - 2) >> (64 - exp_diff) : 0; |
| 938 | mul64To128(b0, q << (64 - exp_diff), &t0, &t1); |
| 939 | sub128(a0, a1, t0, t1, &a0, &a1); |
| 940 | shortShift128Left(0, b0, 64 - exp_diff, &t0, &t1); |
| 941 | while (le128(t0, t1, a0, a1)) { |
| 942 | ++q; |
| 943 | sub128(a0, a1, t0, t1, &a0, &a1); |
| 944 | } |
| 945 | quot = (exp_diff < 64 ? quot << exp_diff : 0) + q; |
| 946 | } else { |
| 947 | t0 = b0; |
| 948 | t1 = 0; |
| 949 | } |
| 950 | |
| 951 | if (mod_quot) { |
| 952 | *mod_quot = quot; |
| 953 | } else { |
| 954 | sub128(t0, t1, a0, a1, &t0, &t1); |
| 955 | if (lt128(t0, t1, a0, a1) || |
| 956 | (eq128(t0, t1, a0, a1) && (q & 1))) { |
| 957 | a0 = t0; |
| 958 | a1 = t1; |
| 959 | a->sign = !a->sign; |
| 960 | } |
| 961 | } |
| 962 | |
| 963 | if (likely(a0)) { |
| 964 | shift = clz64(a0); |
| 965 | shortShift128Left(a0, a1, shift, &a0, &a1); |
| 966 | } else if (likely(a1)) { |
| 967 | shift = clz64(a1); |
| 968 | a0 = a1 << shift; |
| 969 | a1 = 0; |
| 970 | shift += 64; |
| 971 | } else { |
| 972 | a->cls = float_class_zero; |
| 973 | return; |
| 974 | } |
| 975 | |
| 976 | a->exp = b->exp + exp_diff - shift; |
| 977 | a->frac = a0 | (a1 != 0); |
| 978 | } |
| 979 | |
| 980 | static void frac128_modrem(FloatParts128 *a, const FloatParts128 *b, |
| 981 | uint64_t *mod_quot) |
| 982 | { |
| 983 | uint64_t a0, a1, a2, b0, b1, t0, t1, t2, q, quot; |
| 984 | int exp_diff = a->exp - b->exp; |
| 985 | int shift; |
| 986 | |
| 987 | a0 = a->frac_hi; |
| 988 | a1 = a->frac_lo; |
| 989 | a2 = 0; |
| 990 | |
| 991 | if (exp_diff < -1) { |
| 992 | if (mod_quot) { |
| 993 | *mod_quot = 0; |
| 994 | } |
| 995 | return; |
| 996 | } |
| 997 | if (exp_diff == -1) { |
| 998 | shift128Right(a0, a1, 1, &a0, &a1); |
| 999 | exp_diff = 0; |
| 1000 | } |
| 1001 | |
| 1002 | b0 = b->frac_hi; |
| 1003 | b1 = b->frac_lo; |
| 1004 | |
| 1005 | quot = q = le128(b0, b1, a0, a1); |
| 1006 | if (q) { |
| 1007 | sub128(a0, a1, b0, b1, &a0, &a1); |
| 1008 | } |
| 1009 | |
| 1010 | exp_diff -= 64; |
| 1011 | while (exp_diff > 0) { |
| 1012 | q = estimateDiv128To64(a0, a1, b0); |
| 1013 | q = q > 4 ? q - 4 : 0; |
| 1014 | mul128By64To192(b0, b1, q, &t0, &t1, &t2); |
| 1015 | sub192(a0, a1, a2, t0, t1, t2, &a0, &a1, &a2); |
| 1016 | shortShift192Left(a0, a1, a2, 61, &a0, &a1, &a2); |
| 1017 | exp_diff -= 61; |
| 1018 | quot = (quot << 61) + q; |
| 1019 | } |
| 1020 | |
| 1021 | exp_diff += 64; |
| 1022 | if (exp_diff > 0) { |
| 1023 | q = estimateDiv128To64(a0, a1, b0); |
| 1024 | q = q > 4 ? (q - 4) >> (64 - exp_diff) : 0; |
| 1025 | mul128By64To192(b0, b1, q << (64 - exp_diff), &t0, &t1, &t2); |
| 1026 | sub192(a0, a1, a2, t0, t1, t2, &a0, &a1, &a2); |
| 1027 | shortShift192Left(0, b0, b1, 64 - exp_diff, &t0, &t1, &t2); |
| 1028 | while (le192(t0, t1, t2, a0, a1, a2)) { |
| 1029 | ++q; |
| 1030 | sub192(a0, a1, a2, t0, t1, t2, &a0, &a1, &a2); |
| 1031 | } |
| 1032 | quot = (exp_diff < 64 ? quot << exp_diff : 0) + q; |
| 1033 | } else { |
| 1034 | t0 = b0; |
| 1035 | t1 = b1; |
| 1036 | t2 = 0; |
| 1037 | } |
| 1038 | |
| 1039 | if (mod_quot) { |
| 1040 | *mod_quot = quot; |
| 1041 | } else { |
| 1042 | sub192(t0, t1, t2, a0, a1, a2, &t0, &t1, &t2); |
| 1043 | if (lt192(t0, t1, t2, a0, a1, a2) || |
| 1044 | (eq192(t0, t1, t2, a0, a1, a2) && (q & 1))) { |
| 1045 | a0 = t0; |
| 1046 | a1 = t1; |
| 1047 | a2 = t2; |
| 1048 | a->sign = !a->sign; |
| 1049 | } |
| 1050 | } |
| 1051 | |
| 1052 | if (likely(a0)) { |
| 1053 | shift = clz64(a0); |
| 1054 | shortShift192Left(a0, a1, a2, shift, &a0, &a1, &a2); |
| 1055 | } else if (likely(a1)) { |
| 1056 | shift = clz64(a1); |
| 1057 | shortShift128Left(a1, a2, shift, &a0, &a1); |
| 1058 | a2 = 0; |
| 1059 | shift += 64; |
| 1060 | } else if (likely(a2)) { |
| 1061 | shift = clz64(a2); |
| 1062 | a0 = a2 << shift; |
| 1063 | a1 = a2 = 0; |
| 1064 | shift += 128; |
| 1065 | } else { |
| 1066 | a->cls = float_class_zero; |
| 1067 | return; |
| 1068 | } |
| 1069 | |
| 1070 | a->exp = b->exp + exp_diff - shift; |
| 1071 | a->frac_hi = a0; |
| 1072 | a->frac_lo = a1 | (a2 != 0); |
| 1073 | } |
| 1074 | |
| 1075 | static void frac64_shl(FloatParts64 *a, int c) |
| 1076 | { |
| 1077 | a->frac <<= c; |
| 1078 | } |
| 1079 | |
| 1080 | static void frac128_shl(FloatParts128 *a, int c) |
| 1081 | { |
| 1082 | uint64_t a0 = a->frac_hi, a1 = a->frac_lo; |
| 1083 | |
| 1084 | if (c & 64) { |
| 1085 | a0 = a1, a1 = 0; |
| 1086 | } |
| 1087 | |
| 1088 | c &= 63; |
| 1089 | if (c) { |
| 1090 | a0 = shl_double(a0, a1, c); |
| 1091 | a1 = a1 << c; |
| 1092 | } |
| 1093 | |
| 1094 | a->frac_hi = a0; |
| 1095 | a->frac_lo = a1; |
| 1096 | } |
| 1097 | |
| 1098 | static void frac64_shr(FloatParts64 *a, int c) |
| 1099 | { |
| 1100 | a->frac >>= c; |
| 1101 | } |
| 1102 | |
| 1103 | static void frac128_shr(FloatParts128 *a, int c) |
| 1104 | { |
| 1105 | uint64_t a0 = a->frac_hi, a1 = a->frac_lo; |
| 1106 | |
| 1107 | if (c & 64) { |
| 1108 | a1 = a0, a0 = 0; |
| 1109 | } |
| 1110 | |
| 1111 | c &= 63; |
| 1112 | if (c) { |
| 1113 | a1 = shr_double(a0, a1, c); |
| 1114 | a0 = a0 >> c; |
| 1115 | } |
| 1116 | |
| 1117 | a->frac_hi = a0; |
| 1118 | a->frac_lo = a1; |
| 1119 | } |
| 1120 | |
| 1121 | static void frac64_shrjam(FloatParts64 *a, int c) |
| 1122 | { |
| 1123 | uint64_t a0 = a->frac; |
| 1124 | |
| 1125 | if (likely(c != 0)) { |
| 1126 | if (likely(c < 64)) { |
| 1127 | a0 = (a0 >> c) | (shr_double(a0, 0, c) != 0); |
| 1128 | } else { |
| 1129 | a0 = a0 != 0; |
| 1130 | } |
| 1131 | a->frac = a0; |
| 1132 | } |
| 1133 | } |
| 1134 | |
| 1135 | static void frac128_shrjam(FloatParts128 *a, int c) |
| 1136 | { |
| 1137 | uint64_t a0 = a->frac_hi, a1 = a->frac_lo; |
| 1138 | uint64_t sticky = 0; |
| 1139 | |
| 1140 | if (unlikely(c == 0)) { |
| 1141 | return; |
| 1142 | } else if (likely(c < 64)) { |
| 1143 | /* nothing */ |
| 1144 | } else if (likely(c < 128)) { |
| 1145 | sticky = a1; |
| 1146 | a1 = a0; |
| 1147 | a0 = 0; |
| 1148 | c &= 63; |
| 1149 | if (c == 0) { |
| 1150 | goto done; |
| 1151 | } |
| 1152 | } else { |
| 1153 | sticky = a0 | a1; |
| 1154 | a0 = a1 = 0; |
| 1155 | goto done; |
| 1156 | } |
| 1157 | |
| 1158 | sticky |= shr_double(a1, 0, c); |
| 1159 | a1 = shr_double(a0, a1, c); |
| 1160 | a0 = a0 >> c; |
| 1161 | |
| 1162 | done: |
| 1163 | a->frac_lo = a1 | (sticky != 0); |
| 1164 | a->frac_hi = a0; |
| 1165 | } |
| 1166 | |
| 1167 | static void frac256_shrjam(FloatParts256 *a, int c) |
| 1168 | { |
| 1169 | uint64_t a0 = a->frac_hi, a1 = a->frac_hm; |
| 1170 | uint64_t a2 = a->frac_lm, a3 = a->frac_lo; |
| 1171 | uint64_t sticky = 0; |
| 1172 | |
| 1173 | if (unlikely(c == 0)) { |
| 1174 | return; |
| 1175 | } else if (likely(c < 64)) { |
| 1176 | /* nothing */ |
| 1177 | } else if (likely(c < 256)) { |
| 1178 | if (unlikely(c & 128)) { |
| 1179 | sticky |= a2 | a3; |
| 1180 | a3 = a1, a2 = a0, a1 = 0, a0 = 0; |
| 1181 | } |
| 1182 | if (unlikely(c & 64)) { |
| 1183 | sticky |= a3; |
| 1184 | a3 = a2, a2 = a1, a1 = a0, a0 = 0; |
| 1185 | } |
| 1186 | c &= 63; |
| 1187 | if (c == 0) { |
| 1188 | goto done; |
| 1189 | } |
| 1190 | } else { |
| 1191 | sticky = a0 | a1 | a2 | a3; |
| 1192 | a0 = a1 = a2 = a3 = 0; |
| 1193 | goto done; |
| 1194 | } |
| 1195 | |
| 1196 | sticky |= shr_double(a3, 0, c); |
| 1197 | a3 = shr_double(a2, a3, c); |
| 1198 | a2 = shr_double(a1, a2, c); |
| 1199 | a1 = shr_double(a0, a1, c); |
| 1200 | a0 = a0 >> c; |
| 1201 | |
| 1202 | done: |
| 1203 | a->frac_lo = a3 | (sticky != 0); |
| 1204 | a->frac_lm = a2; |
| 1205 | a->frac_hm = a1; |
| 1206 | a->frac_hi = a0; |
| 1207 | } |
| 1208 | |
| 1209 | static bool frac64_sub(FloatParts64 *r, |
| 1210 | const FloatParts64 *a, const FloatParts64 *b) |
| 1211 | { |
| 1212 | return usub64_overflow(a->frac, b->frac, &r->frac); |
| 1213 | } |
| 1214 | |
| 1215 | static bool frac128_sub(FloatParts128 *r, |
| 1216 | const FloatParts128 *a, const FloatParts128 *b) |
| 1217 | { |
| 1218 | bool c = 0; |
| 1219 | r->frac_lo = usub64_borrow(a->frac_lo, b->frac_lo, &c); |
| 1220 | r->frac_hi = usub64_borrow(a->frac_hi, b->frac_hi, &c); |
| 1221 | return c; |
| 1222 | } |
| 1223 | |
| 1224 | static bool frac256_sub(FloatParts256 *r, |
| 1225 | const FloatParts256 *a, const FloatParts256 *b) |
| 1226 | { |
| 1227 | bool c = 0; |
| 1228 | r->frac_lo = usub64_borrow(a->frac_lo, b->frac_lo, &c); |
| 1229 | r->frac_lm = usub64_borrow(a->frac_lm, b->frac_lm, &c); |
| 1230 | r->frac_hm = usub64_borrow(a->frac_hm, b->frac_hm, &c); |
| 1231 | r->frac_hi = usub64_borrow(a->frac_hi, b->frac_hi, &c); |
| 1232 | return c; |
| 1233 | } |
| 1234 | |
| 1235 | static void frac64_truncjam(FloatParts64 *r, const FloatParts128 *a) |
| 1236 | { |
| 1237 | r->frac = a->frac_hi | (a->frac_lo != 0); |
| 1238 | } |
| 1239 | |
| 1240 | static void frac128_truncjam(FloatParts128 *r, const FloatParts256 *a) |
| 1241 | { |
| 1242 | r->frac_hi = a->frac_hi; |
| 1243 | r->frac_lo = a->frac_hm | ((a->frac_lm | a->frac_lo) != 0); |
| 1244 | } |
| 1245 | |
| 1246 | static void frac64_widen(FloatParts128 *r, const FloatParts64 *a) |
| 1247 | { |
| 1248 | r->frac_hi = a->frac; |
| 1249 | r->frac_lo = 0; |
| 1250 | } |
| 1251 | |
| 1252 | static void frac128_widen(FloatParts256 *r, const FloatParts128 *a) |
| 1253 | { |
| 1254 | r->frac_hi = a->frac_hi; |
| 1255 | r->frac_hm = a->frac_lo; |
| 1256 | r->frac_lm = 0; |
| 1257 | r->frac_lo = 0; |
| 1258 | } |
| 1259 | |
| 1260 | /* |
| 1261 | * Reciprocal sqrt table. 1 bit of exponent, 6-bits of mantessa. |
| 1262 | * From https://git.musl-libc.org/cgit/musl/tree/src/math/sqrt_data.c |
| 1263 | * and thus MIT licenced. |
| 1264 | */ |
| 1265 | static const uint16_t rsqrt_tab[128] = { |
| 1266 | 0xb451, 0xb2f0, 0xb196, 0xb044, 0xaef9, 0xadb6, 0xac79, 0xab43, |
| 1267 | 0xaa14, 0xa8eb, 0xa7c8, 0xa6aa, 0xa592, 0xa480, 0xa373, 0xa26b, |
| 1268 | 0xa168, 0xa06a, 0x9f70, 0x9e7b, 0x9d8a, 0x9c9d, 0x9bb5, 0x9ad1, |
| 1269 | 0x99f0, 0x9913, 0x983a, 0x9765, 0x9693, 0x95c4, 0x94f8, 0x9430, |
| 1270 | 0x936b, 0x92a9, 0x91ea, 0x912e, 0x9075, 0x8fbe, 0x8f0a, 0x8e59, |
| 1271 | 0x8daa, 0x8cfe, 0x8c54, 0x8bac, 0x8b07, 0x8a64, 0x89c4, 0x8925, |
| 1272 | 0x8889, 0x87ee, 0x8756, 0x86c0, 0x862b, 0x8599, 0x8508, 0x8479, |
| 1273 | 0x83ec, 0x8361, 0x82d8, 0x8250, 0x81c9, 0x8145, 0x80c2, 0x8040, |
| 1274 | 0xff02, 0xfd0e, 0xfb25, 0xf947, 0xf773, 0xf5aa, 0xf3ea, 0xf234, |
| 1275 | 0xf087, 0xeee3, 0xed47, 0xebb3, 0xea27, 0xe8a3, 0xe727, 0xe5b2, |
| 1276 | 0xe443, 0xe2dc, 0xe17a, 0xe020, 0xdecb, 0xdd7d, 0xdc34, 0xdaf1, |
| 1277 | 0xd9b3, 0xd87b, 0xd748, 0xd61a, 0xd4f1, 0xd3cd, 0xd2ad, 0xd192, |
| 1278 | 0xd07b, 0xcf69, 0xce5b, 0xcd51, 0xcc4a, 0xcb48, 0xca4a, 0xc94f, |
| 1279 | 0xc858, 0xc764, 0xc674, 0xc587, 0xc49d, 0xc3b7, 0xc2d4, 0xc1f4, |
| 1280 | 0xc116, 0xc03c, 0xbf65, 0xbe90, 0xbdbe, 0xbcef, 0xbc23, 0xbb59, |
| 1281 | 0xba91, 0xb9cc, 0xb90a, 0xb84a, 0xb78c, 0xb6d0, 0xb617, 0xb560, |
| 1282 | }; |
| 1283 | |
| 1284 | #define fracN(NAME) glue(glue(glue(frac,N),_),NAME) |
| 1285 | #define fracW(NAME) glue(glue(glue(frac,W),_),NAME) |
| 1286 | #define partsN(NAME) glue(glue(glue(parts,N),_),NAME) |
| 1287 | #define partsW(NAME) glue(glue(glue(parts,W),_),NAME) |
| 1288 | #define FloatPartsN glue(FloatParts,N) |
| 1289 | #define FloatPartsW glue(FloatParts,W) |
| 1290 | |
| 1291 | #define N 256 |
| 1292 | |
| 1293 | #include "softfloat-parts-addsub.c.inc" |
| 1294 | |
| 1295 | #undef N |
| 1296 | #define N 128 |
| 1297 | #define W 256 |
| 1298 | |
| 1299 | #include "softfloat-parts-addsub.c.inc" |
| 1300 | #include "softfloat-parts.c.inc" |
| 1301 | |
| 1302 | #undef N |
| 1303 | #undef W |
| 1304 | #define N 64 |
| 1305 | #define W 128 |
| 1306 | |
| 1307 | #include "softfloat-parts-addsub.c.inc" |
| 1308 | #include "softfloat-parts.c.inc" |
| 1309 | |
| 1310 | #undef N |
| 1311 | #undef W |
| 1312 | #undef fracN |
| 1313 | #undef fracW |
| 1314 | #undef partsN |
| 1315 | #undef partsW |
| 1316 | #undef FloatPartsN |
| 1317 | #undef FloatPartsW |
| 1318 | |
| 1319 | /* |
| 1320 | * Pack/unpack routines with a specific FloatFmt. |
| 1321 | */ |
| 1322 | |
| 1323 | FloatParts64 float4_e2m1_unpack_canonical(float4_e2m1 f, float_status *s) |
| 1324 | { |
| 1325 | FloatParts64 p = unpack_raw64(&float4_e2m1_params, f); |
| 1326 | parts64_canonicalize(&p, s, &float4_e2m1_params); |
| 1327 | return p; |
| 1328 | } |
| 1329 | |
| 1330 | FloatParts64 float8_e4m3_unpack_canonical(float8_e4m3 f, float_status *s) |
| 1331 | { |
| 1332 | FloatParts64 p = unpack_raw64(&float8_e4m3_params, f); |
| 1333 | parts64_canonicalize(&p, s, &float8_e4m3_params); |
| 1334 | return p; |
| 1335 | } |
| 1336 | |
| 1337 | FloatParts64 float8_e5m2_unpack_canonical(float8_e5m2 f, float_status *s) |
| 1338 | { |
| 1339 | FloatParts64 p = unpack_raw64(&float8_e5m2_params, f); |
| 1340 | parts64_canonicalize(&p, s, &float8_e5m2_params); |
| 1341 | return p; |
| 1342 | } |
| 1343 | |
| 1344 | static FloatParts64 float16a_unpack_canonical(float16 f, float_status *s, |
| 1345 | const FloatFmt *params) |
| 1346 | { |
| 1347 | FloatParts64 p = unpack_raw64(&float16_params, f); |
| 1348 | parts64_canonicalize(&p, s, params); |
| 1349 | return p; |
| 1350 | } |
| 1351 | |
| 1352 | FloatParts64 float16_unpack_canonical(float16 f, float_status *s) |
| 1353 | { |
| 1354 | return float16a_unpack_canonical(f, s, &float16_params); |
| 1355 | } |
| 1356 | |
| 1357 | FloatParts64 bfloat16_unpack_canonical(bfloat16 f, float_status *s) |
| 1358 | { |
| 1359 | FloatParts64 p = unpack_raw64(&bfloat16_params, f); |
| 1360 | parts64_canonicalize(&p, s, &bfloat16_params); |
| 1361 | return p; |
| 1362 | } |
| 1363 | |
| 1364 | float8_e4m3 float8_e4m3_round_pack_canonical(FloatParts64 *p, float_status *s, |
| 1365 | bool saturate) |
| 1366 | { |
| 1367 | parts64_uncanon(p, s, &float8_e4m3_params, saturate); |
| 1368 | return pack_raw64(p, &float8_e4m3_params); |
| 1369 | } |
| 1370 | |
| 1371 | float8_e5m2 float8_e5m2_round_pack_canonical(FloatParts64 *p, float_status *s, |
| 1372 | bool saturate) |
| 1373 | { |
| 1374 | parts64_uncanon(p, s, &float8_e5m2_params, saturate); |
| 1375 | return pack_raw64(p, &float8_e5m2_params); |
| 1376 | } |
| 1377 | |
| 1378 | static float16 float16a_round_pack_canonical(FloatParts64 *p, |
| 1379 | float_status *s, |
| 1380 | const FloatFmt *params) |
| 1381 | { |
| 1382 | parts64_uncanon(p, s, params, false); |
| 1383 | return pack_raw64(p, &float16_params); |
| 1384 | } |
| 1385 | |
| 1386 | float16 float16_round_pack_canonical(FloatParts64 *p, float_status *s) |
| 1387 | { |
| 1388 | return float16a_round_pack_canonical(p, s, &float16_params); |
| 1389 | } |
| 1390 | |
| 1391 | bfloat16 bfloat16_round_pack_canonical(FloatParts64 *p, float_status *s) |
| 1392 | { |
| 1393 | parts64_uncanon(p, s, &bfloat16_params, false); |
| 1394 | return pack_raw64(p, &bfloat16_params); |
| 1395 | } |
| 1396 | |
| 1397 | FloatParts64 float32_unpack_canonical(float32 f, float_status *s) |
| 1398 | { |
| 1399 | FloatParts64 p = unpack_raw64(&float32_params, f); |
| 1400 | parts64_canonicalize(&p, s, &float32_params); |
| 1401 | return p; |
| 1402 | } |
| 1403 | |
| 1404 | float32 float32_round_pack_canonical(FloatParts64 *p, float_status *s) |
| 1405 | { |
| 1406 | parts64_uncanon(p, s, &float32_params, false); |
| 1407 | return pack_raw64(p, &float32_params); |
| 1408 | } |
| 1409 | |
| 1410 | FloatParts64 float64_unpack_canonical(float64 f, float_status *s) |
| 1411 | { |
| 1412 | FloatParts64 p = unpack_raw64(&float64_params, f); |
| 1413 | parts64_canonicalize(&p, s, &float64_params); |
| 1414 | return p; |
| 1415 | } |
| 1416 | |
| 1417 | float64 float64_round_pack_canonical(FloatParts64 *p, float_status *s) |
| 1418 | { |
| 1419 | parts64_uncanon(p, s, &float64_params, false); |
| 1420 | return pack_raw64(p, &float64_params); |
| 1421 | } |
| 1422 | |
| 1423 | /* |
| 1424 | * Round to Fmt while remaining canonicalized. |
| 1425 | */ |
| 1426 | FloatParts64 parts64_round_to_fmt(const FloatParts64 *p, float_status *s, |
| 1427 | const FloatFmt *fmt) |
| 1428 | { |
| 1429 | FloatParts64 r = *p; |
| 1430 | |
| 1431 | parts64_uncanon(&r, s, fmt, false); |
| 1432 | /* |
| 1433 | * We normally expect uncanon to be followed by pack_raw, |
| 1434 | * so we don't actually crop the bits. Do so now. |
| 1435 | */ |
| 1436 | r.frac &= MAKE_64BIT_MASK(0, fmt->frac_size); |
| 1437 | parts64_canonicalize(&r, s, fmt); |
| 1438 | return r; |
| 1439 | } |
| 1440 | |
| 1441 | static float64 float64r32_pack_raw(FloatParts64 *p) |
| 1442 | { |
| 1443 | /* |
| 1444 | * In parts64_uncanon, we placed the fraction for float32 at the lsb. |
| 1445 | * We need to adjust the fraction higher so that the least N bits are |
| 1446 | * zero, and the fraction is adjacent to the float64 implicit bit. |
| 1447 | */ |
| 1448 | switch (p->cls) { |
| 1449 | case float_class_normal: |
| 1450 | case float_class_denormal: |
| 1451 | if (unlikely(p->exp == 0)) { |
| 1452 | /* |
| 1453 | * The result is denormal for float32, but can be represented |
| 1454 | * in normalized form for float64. Adjust, per canonicalize. |
| 1455 | */ |
| 1456 | int shift = frac64_normalize(p); |
| 1457 | frac64_shr(p, float64_params.frac_shift); |
| 1458 | p->exp = float32_params.frac_shift - shift + 1; |
| 1459 | } else { |
| 1460 | frac64_shl(p, float32_params.frac_shift - float64_params.frac_shift); |
| 1461 | } |
| 1462 | p->exp += float64_params.exp_bias - float32_params.exp_bias; |
| 1463 | break; |
| 1464 | case float_class_snan: |
| 1465 | case float_class_qnan: |
| 1466 | frac64_shl(p, float32_params.frac_shift - float64_params.frac_shift); |
| 1467 | p->exp = float64_params.exp_max; |
| 1468 | break; |
| 1469 | case float_class_inf: |
| 1470 | p->exp = float64_params.exp_max; |
| 1471 | break; |
| 1472 | case float_class_zero: |
| 1473 | break; |
| 1474 | default: |
| 1475 | g_assert_not_reached(); |
| 1476 | } |
| 1477 | |
| 1478 | return pack_raw64(p, &float64_params); |
| 1479 | } |
| 1480 | |
| 1481 | static float64 float64r32_round_pack_canonical(FloatParts64 *p, |
| 1482 | float_status *s) |
| 1483 | { |
| 1484 | parts64_uncanon(p, s, &float32_params, false); |
| 1485 | return float64r32_pack_raw(p); |
| 1486 | } |
| 1487 | |
| 1488 | FloatParts128 float128_unpack_canonical(float128 f, float_status *s) |
| 1489 | { |
| 1490 | FloatParts128 p = float128_unpack_raw(f); |
| 1491 | parts128_canonicalize(&p, s, &float128_params); |
| 1492 | return p; |
| 1493 | } |
| 1494 | |
| 1495 | float128 float128_round_pack_canonical(FloatParts128 *p, float_status *s) |
| 1496 | { |
| 1497 | parts128_uncanon(p, s, &float128_params, false); |
| 1498 | return float128_pack_raw(p); |
| 1499 | } |
| 1500 | |
| 1501 | /* Returns false if the encoding is invalid. */ |
| 1502 | bool floatx80_unpack_canonical(FloatParts128 *p, floatx80 f, float_status *s) |
| 1503 | { |
| 1504 | /* Ensure rounding precision is set before beginning. */ |
| 1505 | switch (get_floatx80_rounding_precision(s)) { |
| 1506 | case floatx80_precision_x: |
| 1507 | case floatx80_precision_d: |
| 1508 | case floatx80_precision_s: |
| 1509 | break; |
| 1510 | default: |
| 1511 | g_assert_not_reached(); |
| 1512 | } |
| 1513 | |
| 1514 | if (unlikely(floatx80_invalid_encoding(f, s))) { |
| 1515 | float_raise(float_flag_invalid, s); |
| 1516 | return false; |
| 1517 | } |
| 1518 | |
| 1519 | *p = (FloatParts128) { |
| 1520 | .cls = float_class_unclassified, |
| 1521 | .sign = extract32(f.high, 15, 1), |
| 1522 | .exp = extract32(f.high, 0, 15), |
| 1523 | .frac_hi = f.low |
| 1524 | }; |
| 1525 | |
| 1526 | if (likely(p->exp != floatx80_params[floatx80_precision_x].exp_max)) { |
| 1527 | parts128_canonicalize(p, s, &floatx80_params[floatx80_precision_x]); |
| 1528 | } else { |
| 1529 | /* The explicit integer bit is ignored, after invalid checks. */ |
| 1530 | p->frac_hi &= MAKE_64BIT_MASK(0, 63); |
| 1531 | p->cls = (p->frac_hi == 0 ? float_class_inf |
| 1532 | : parts_is_snan_frac(p->frac_hi, s) |
| 1533 | ? float_class_snan : float_class_qnan); |
| 1534 | } |
| 1535 | return true; |
| 1536 | } |
| 1537 | |
| 1538 | floatx80 floatx80_round_pack_canonical(FloatParts128 *p, float_status *s) |
| 1539 | { |
| 1540 | const FloatFmt *fmt = &floatx80_params[get_floatx80_rounding_precision(s)]; |
| 1541 | uint64_t frac; |
| 1542 | int exp; |
| 1543 | |
| 1544 | switch (p->cls) { |
| 1545 | case float_class_normal: |
| 1546 | case float_class_denormal: |
| 1547 | if (get_floatx80_rounding_precision(s) == floatx80_precision_x) { |
| 1548 | parts128_uncanon_normal(p, s, fmt, false); |
| 1549 | frac = p->frac_hi; |
| 1550 | exp = p->exp; |
| 1551 | } else { |
| 1552 | FloatParts64 p64; |
| 1553 | |
| 1554 | p64.sign = p->sign; |
| 1555 | p64.exp = p->exp; |
| 1556 | frac64_truncjam(&p64, p); |
| 1557 | parts64_uncanon_normal(&p64, s, fmt, false); |
| 1558 | frac = p64.frac; |
| 1559 | exp = p64.exp; |
| 1560 | } |
| 1561 | if (exp != fmt->exp_max) { |
| 1562 | break; |
| 1563 | } |
| 1564 | /* rounded to inf -- fall through to set frac correctly */ |
| 1565 | |
| 1566 | case float_class_inf: |
| 1567 | /* x86 and m68k differ in the setting of the integer bit. */ |
| 1568 | frac = get_floatx80_behaviour(s) & floatx80_default_inf_int_bit_is_zero ? |
| 1569 | 0 : (1ULL << 63); |
| 1570 | exp = fmt->exp_max; |
| 1571 | break; |
| 1572 | |
| 1573 | case float_class_zero: |
| 1574 | frac = 0; |
| 1575 | exp = 0; |
| 1576 | break; |
| 1577 | |
| 1578 | case float_class_snan: |
| 1579 | case float_class_qnan: |
| 1580 | /* NaNs have the integer bit set. */ |
| 1581 | frac = p->frac_hi | (1ull << 63); |
| 1582 | exp = fmt->exp_max; |
| 1583 | break; |
| 1584 | |
| 1585 | default: |
| 1586 | g_assert_not_reached(); |
| 1587 | } |
| 1588 | |
| 1589 | return packFloatx80(p->sign, exp, frac); |
| 1590 | } |
| 1591 | |
| 1592 | /* |
| 1593 | * Addition and subtraction |
| 1594 | */ |
| 1595 | |
| 1596 | static float16 QEMU_FLATTEN |
| 1597 | float16_addsub(float16 a, float16 b, float_status *status, bool subtract) |
| 1598 | { |
| 1599 | FloatParts64 pa = float16_unpack_canonical(a, status); |
| 1600 | FloatParts64 pb = float16_unpack_canonical(b, status); |
| 1601 | FloatParts64 pr = parts64_addsub(&pa, &pb, status, subtract); |
| 1602 | |
| 1603 | return float16_round_pack_canonical(&pr, status); |
| 1604 | } |
| 1605 | |
| 1606 | float16 float16_add(float16 a, float16 b, float_status *status) |
| 1607 | { |
| 1608 | return float16_addsub(a, b, status, false); |
| 1609 | } |
| 1610 | |
| 1611 | float16 float16_sub(float16 a, float16 b, float_status *status) |
| 1612 | { |
| 1613 | return float16_addsub(a, b, status, true); |
| 1614 | } |
| 1615 | |
| 1616 | static float32 QEMU_SOFTFLOAT_ATTR |
| 1617 | soft_f32_addsub(float32 a, float32 b, float_status *status, bool subtract) |
| 1618 | { |
| 1619 | FloatParts64 pa = float32_unpack_canonical(a, status); |
| 1620 | FloatParts64 pb = float32_unpack_canonical(b, status); |
| 1621 | FloatParts64 pr = parts64_addsub(&pa, &pb, status, subtract); |
| 1622 | |
| 1623 | return float32_round_pack_canonical(&pr, status); |
| 1624 | } |
| 1625 | |
| 1626 | static float32 soft_f32_add(float32 a, float32 b, float_status *status) |
| 1627 | { |
| 1628 | return soft_f32_addsub(a, b, status, false); |
| 1629 | } |
| 1630 | |
| 1631 | static float32 soft_f32_sub(float32 a, float32 b, float_status *status) |
| 1632 | { |
| 1633 | return soft_f32_addsub(a, b, status, true); |
| 1634 | } |
| 1635 | |
| 1636 | static float64 QEMU_SOFTFLOAT_ATTR |
| 1637 | soft_f64_addsub(float64 a, float64 b, float_status *status, bool subtract) |
| 1638 | { |
| 1639 | FloatParts64 pa = float64_unpack_canonical(a, status); |
| 1640 | FloatParts64 pb = float64_unpack_canonical(b, status); |
| 1641 | FloatParts64 pr = parts64_addsub(&pa, &pb, status, subtract); |
| 1642 | |
| 1643 | return float64_round_pack_canonical(&pr, status); |
| 1644 | } |
| 1645 | |
| 1646 | static float64 soft_f64_add(float64 a, float64 b, float_status *status) |
| 1647 | { |
| 1648 | return soft_f64_addsub(a, b, status, false); |
| 1649 | } |
| 1650 | |
| 1651 | static float64 soft_f64_sub(float64 a, float64 b, float_status *status) |
| 1652 | { |
| 1653 | return soft_f64_addsub(a, b, status, true); |
| 1654 | } |
| 1655 | |
| 1656 | static float hard_f32_add(float a, float b) |
| 1657 | { |
| 1658 | return a + b; |
| 1659 | } |
| 1660 | |
| 1661 | static float hard_f32_sub(float a, float b) |
| 1662 | { |
| 1663 | return a - b; |
| 1664 | } |
| 1665 | |
| 1666 | static double hard_f64_add(double a, double b) |
| 1667 | { |
| 1668 | return a + b; |
| 1669 | } |
| 1670 | |
| 1671 | static double hard_f64_sub(double a, double b) |
| 1672 | { |
| 1673 | return a - b; |
| 1674 | } |
| 1675 | |
| 1676 | static bool f32_addsubmul_post(union_float32 a, union_float32 b) |
| 1677 | { |
| 1678 | if (QEMU_HARDFLOAT_2F32_USE_FP) { |
| 1679 | return !(fpclassify(a.h) == FP_ZERO && fpclassify(b.h) == FP_ZERO); |
| 1680 | } |
| 1681 | return !(float32_is_zero(a.s) && float32_is_zero(b.s)); |
| 1682 | } |
| 1683 | |
| 1684 | static bool f64_addsubmul_post(union_float64 a, union_float64 b) |
| 1685 | { |
| 1686 | if (QEMU_HARDFLOAT_2F64_USE_FP) { |
| 1687 | return !(fpclassify(a.h) == FP_ZERO && fpclassify(b.h) == FP_ZERO); |
| 1688 | } else { |
| 1689 | return !(float64_is_zero(a.s) && float64_is_zero(b.s)); |
| 1690 | } |
| 1691 | } |
| 1692 | |
| 1693 | static float32 float32_addsub(float32 a, float32 b, float_status *s, |
| 1694 | hard_f32_op2_fn hard, soft_f32_op2_fn soft) |
| 1695 | { |
| 1696 | return float32_gen2(a, b, s, hard, soft, |
| 1697 | f32_is_zon2, f32_addsubmul_post); |
| 1698 | } |
| 1699 | |
| 1700 | static float64 float64_addsub(float64 a, float64 b, float_status *s, |
| 1701 | hard_f64_op2_fn hard, soft_f64_op2_fn soft) |
| 1702 | { |
| 1703 | return float64_gen2(a, b, s, hard, soft, |
| 1704 | f64_is_zon2, f64_addsubmul_post); |
| 1705 | } |
| 1706 | |
| 1707 | float32 QEMU_FLATTEN |
| 1708 | float32_add(float32 a, float32 b, float_status *s) |
| 1709 | { |
| 1710 | return float32_addsub(a, b, s, hard_f32_add, soft_f32_add); |
| 1711 | } |
| 1712 | |
| 1713 | float32 QEMU_FLATTEN |
| 1714 | float32_sub(float32 a, float32 b, float_status *s) |
| 1715 | { |
| 1716 | return float32_addsub(a, b, s, hard_f32_sub, soft_f32_sub); |
| 1717 | } |
| 1718 | |
| 1719 | float64 QEMU_FLATTEN |
| 1720 | float64_add(float64 a, float64 b, float_status *s) |
| 1721 | { |
| 1722 | return float64_addsub(a, b, s, hard_f64_add, soft_f64_add); |
| 1723 | } |
| 1724 | |
| 1725 | float64 QEMU_FLATTEN |
| 1726 | float64_sub(float64 a, float64 b, float_status *s) |
| 1727 | { |
| 1728 | return float64_addsub(a, b, s, hard_f64_sub, soft_f64_sub); |
| 1729 | } |
| 1730 | |
| 1731 | static float64 float64r32_addsub(float64 a, float64 b, float_status *status, |
| 1732 | bool subtract) |
| 1733 | { |
| 1734 | FloatParts64 pa = float64_unpack_canonical(a, status); |
| 1735 | FloatParts64 pb = float64_unpack_canonical(b, status); |
| 1736 | FloatParts64 pr = parts64_addsub(&pa, &pb, status, subtract); |
| 1737 | |
| 1738 | return float64r32_round_pack_canonical(&pr, status); |
| 1739 | } |
| 1740 | |
| 1741 | float64 float64r32_add(float64 a, float64 b, float_status *status) |
| 1742 | { |
| 1743 | return float64r32_addsub(a, b, status, false); |
| 1744 | } |
| 1745 | |
| 1746 | float64 float64r32_sub(float64 a, float64 b, float_status *status) |
| 1747 | { |
| 1748 | return float64r32_addsub(a, b, status, true); |
| 1749 | } |
| 1750 | |
| 1751 | static bfloat16 QEMU_FLATTEN |
| 1752 | bfloat16_addsub(bfloat16 a, bfloat16 b, float_status *status, bool subtract) |
| 1753 | { |
| 1754 | FloatParts64 pa = bfloat16_unpack_canonical(a, status); |
| 1755 | FloatParts64 pb = bfloat16_unpack_canonical(b, status); |
| 1756 | FloatParts64 pr = parts64_addsub(&pa, &pb, status, subtract); |
| 1757 | |
| 1758 | return bfloat16_round_pack_canonical(&pr, status); |
| 1759 | } |
| 1760 | |
| 1761 | bfloat16 bfloat16_add(bfloat16 a, bfloat16 b, float_status *status) |
| 1762 | { |
| 1763 | return bfloat16_addsub(a, b, status, false); |
| 1764 | } |
| 1765 | |
| 1766 | bfloat16 bfloat16_sub(bfloat16 a, bfloat16 b, float_status *status) |
| 1767 | { |
| 1768 | return bfloat16_addsub(a, b, status, true); |
| 1769 | } |
| 1770 | |
| 1771 | static float128 QEMU_FLATTEN |
| 1772 | float128_addsub(float128 a, float128 b, float_status *status, bool subtract) |
| 1773 | { |
| 1774 | FloatParts128 pa = float128_unpack_canonical(a, status); |
| 1775 | FloatParts128 pb = float128_unpack_canonical(b, status); |
| 1776 | FloatParts128 pr = parts128_addsub(&pa, &pb, status, subtract); |
| 1777 | |
| 1778 | return float128_round_pack_canonical(&pr, status); |
| 1779 | } |
| 1780 | |
| 1781 | float128 float128_add(float128 a, float128 b, float_status *status) |
| 1782 | { |
| 1783 | return float128_addsub(a, b, status, false); |
| 1784 | } |
| 1785 | |
| 1786 | float128 float128_sub(float128 a, float128 b, float_status *status) |
| 1787 | { |
| 1788 | return float128_addsub(a, b, status, true); |
| 1789 | } |
| 1790 | |
| 1791 | static floatx80 QEMU_FLATTEN |
| 1792 | floatx80_addsub(floatx80 a, floatx80 b, float_status *status, bool subtract) |
| 1793 | { |
| 1794 | FloatParts128 pa, pb; |
| 1795 | |
| 1796 | if (!floatx80_unpack_canonical(&pa, a, status) || |
| 1797 | !floatx80_unpack_canonical(&pb, b, status)) { |
| 1798 | return floatx80_default_nan(status); |
| 1799 | } |
| 1800 | |
| 1801 | pa = parts128_addsub(&pa, &pb, status, subtract); |
| 1802 | return floatx80_round_pack_canonical(&pa, status); |
| 1803 | } |
| 1804 | |
| 1805 | floatx80 floatx80_add(floatx80 a, floatx80 b, float_status *status) |
| 1806 | { |
| 1807 | return floatx80_addsub(a, b, status, false); |
| 1808 | } |
| 1809 | |
| 1810 | floatx80 floatx80_sub(floatx80 a, floatx80 b, float_status *status) |
| 1811 | { |
| 1812 | return floatx80_addsub(a, b, status, true); |
| 1813 | } |
| 1814 | |
| 1815 | /* |
| 1816 | * Multiplication |
| 1817 | */ |
| 1818 | |
| 1819 | float16 QEMU_FLATTEN float16_mul(float16 a, float16 b, float_status *status) |
| 1820 | { |
| 1821 | FloatParts64 pa = float16_unpack_canonical(a, status); |
| 1822 | FloatParts64 pb = float16_unpack_canonical(b, status); |
| 1823 | FloatParts64 pr = parts64_mul(&pa, &pb, status); |
| 1824 | |
| 1825 | return float16_round_pack_canonical(&pr, status); |
| 1826 | } |
| 1827 | |
| 1828 | static float32 QEMU_SOFTFLOAT_ATTR |
| 1829 | soft_f32_mul(float32 a, float32 b, float_status *status) |
| 1830 | { |
| 1831 | FloatParts64 pa = float32_unpack_canonical(a, status); |
| 1832 | FloatParts64 pb = float32_unpack_canonical(b, status); |
| 1833 | FloatParts64 pr = parts64_mul(&pa, &pb, status); |
| 1834 | |
| 1835 | return float32_round_pack_canonical(&pr, status); |
| 1836 | } |
| 1837 | |
| 1838 | static float64 QEMU_SOFTFLOAT_ATTR |
| 1839 | soft_f64_mul(float64 a, float64 b, float_status *status) |
| 1840 | { |
| 1841 | FloatParts64 pa = float64_unpack_canonical(a, status); |
| 1842 | FloatParts64 pb = float64_unpack_canonical(b, status); |
| 1843 | FloatParts64 pr = parts64_mul(&pa, &pb, status); |
| 1844 | |
| 1845 | return float64_round_pack_canonical(&pr, status); |
| 1846 | } |
| 1847 | |
| 1848 | static float hard_f32_mul(float a, float b) |
| 1849 | { |
| 1850 | return a * b; |
| 1851 | } |
| 1852 | |
| 1853 | static double hard_f64_mul(double a, double b) |
| 1854 | { |
| 1855 | return a * b; |
| 1856 | } |
| 1857 | |
| 1858 | float32 QEMU_FLATTEN |
| 1859 | float32_mul(float32 a, float32 b, float_status *s) |
| 1860 | { |
| 1861 | return float32_gen2(a, b, s, hard_f32_mul, soft_f32_mul, |
| 1862 | f32_is_zon2, f32_addsubmul_post); |
| 1863 | } |
| 1864 | |
| 1865 | float64 QEMU_FLATTEN |
| 1866 | float64_mul(float64 a, float64 b, float_status *s) |
| 1867 | { |
| 1868 | return float64_gen2(a, b, s, hard_f64_mul, soft_f64_mul, |
| 1869 | f64_is_zon2, f64_addsubmul_post); |
| 1870 | } |
| 1871 | |
| 1872 | float64 float64r32_mul(float64 a, float64 b, float_status *status) |
| 1873 | { |
| 1874 | FloatParts64 pa = float64_unpack_canonical(a, status); |
| 1875 | FloatParts64 pb = float64_unpack_canonical(b, status); |
| 1876 | FloatParts64 pr = parts64_mul(&pa, &pb, status); |
| 1877 | |
| 1878 | return float64r32_round_pack_canonical(&pr, status); |
| 1879 | } |
| 1880 | |
| 1881 | bfloat16 QEMU_FLATTEN |
| 1882 | bfloat16_mul(bfloat16 a, bfloat16 b, float_status *status) |
| 1883 | { |
| 1884 | FloatParts64 pa = bfloat16_unpack_canonical(a, status); |
| 1885 | FloatParts64 pb = bfloat16_unpack_canonical(b, status); |
| 1886 | FloatParts64 pr = parts64_mul(&pa, &pb, status); |
| 1887 | |
| 1888 | return bfloat16_round_pack_canonical(&pr, status); |
| 1889 | } |
| 1890 | |
| 1891 | float128 QEMU_FLATTEN |
| 1892 | float128_mul(float128 a, float128 b, float_status *status) |
| 1893 | { |
| 1894 | FloatParts128 pa = float128_unpack_canonical(a, status); |
| 1895 | FloatParts128 pb = float128_unpack_canonical(b, status); |
| 1896 | FloatParts128 pr = parts128_mul(&pa, &pb, status); |
| 1897 | |
| 1898 | return float128_round_pack_canonical(&pr, status); |
| 1899 | } |
| 1900 | |
| 1901 | floatx80 QEMU_FLATTEN |
| 1902 | floatx80_mul(floatx80 a, floatx80 b, float_status *status) |
| 1903 | { |
| 1904 | FloatParts128 pa, pb; |
| 1905 | |
| 1906 | if (!floatx80_unpack_canonical(&pa, a, status) || |
| 1907 | !floatx80_unpack_canonical(&pb, b, status)) { |
| 1908 | return floatx80_default_nan(status); |
| 1909 | } |
| 1910 | |
| 1911 | pa = parts128_mul(&pa, &pb, status); |
| 1912 | return floatx80_round_pack_canonical(&pa, status); |
| 1913 | } |
| 1914 | |
| 1915 | /* |
| 1916 | * Fused multiply-add |
| 1917 | */ |
| 1918 | |
| 1919 | float16 float16_muladd_scalbn(float16 a, float16 b, float16 c, |
| 1920 | int scale, int flags, float_status *status) |
| 1921 | { |
| 1922 | FloatParts64 pa = float16_unpack_canonical(a, status); |
| 1923 | FloatParts64 pb = float16_unpack_canonical(b, status); |
| 1924 | FloatParts64 pc = float16_unpack_canonical(c, status); |
| 1925 | FloatParts64 pr = parts64_muladd(&pa, &pb, &pc, flags, status); |
| 1926 | |
| 1927 | /* Before rounding, scale. */ |
| 1928 | if (scale) { |
| 1929 | pr = parts64_scalbn(&pr, scale, status); |
| 1930 | } |
| 1931 | parts64_uncanon(&pr, status, &float16_params, false); |
| 1932 | /* After rounding, apply negate result, especially for -0.0. */ |
| 1933 | if ((flags & float_muladd_negate_result) && !is_nan(pr.cls)) { |
| 1934 | pr.sign ^= 1; |
| 1935 | } |
| 1936 | return pack_raw64(&pr, &float16_params); |
| 1937 | } |
| 1938 | |
| 1939 | float16 float16_muladd(float16 a, float16 b, float16 c, |
| 1940 | int flags, float_status *status) |
| 1941 | { |
| 1942 | return float16_muladd_scalbn(a, b, c, 0, flags, status); |
| 1943 | } |
| 1944 | |
| 1945 | float32 QEMU_SOFTFLOAT_ATTR |
| 1946 | float32_muladd_scalbn(float32 a, float32 b, float32 c, |
| 1947 | int scale, int flags, float_status *status) |
| 1948 | { |
| 1949 | FloatParts64 pa = float32_unpack_canonical(a, status); |
| 1950 | FloatParts64 pb = float32_unpack_canonical(b, status); |
| 1951 | FloatParts64 pc = float32_unpack_canonical(c, status); |
| 1952 | FloatParts64 pr = parts64_muladd(&pa, &pb, &pc, flags, status); |
| 1953 | |
| 1954 | /* Before rounding, scale. */ |
| 1955 | if (scale) { |
| 1956 | pr = parts64_scalbn(&pr, scale, status); |
| 1957 | } |
| 1958 | parts64_uncanon(&pr, status, &float32_params, false); |
| 1959 | /* After rounding, apply negate result, especially for -0.0. */ |
| 1960 | if ((flags & float_muladd_negate_result) && !is_nan(pr.cls)) { |
| 1961 | pr.sign ^= 1; |
| 1962 | } |
| 1963 | return pack_raw64(&pr, &float32_params); |
| 1964 | } |
| 1965 | |
| 1966 | float64 QEMU_SOFTFLOAT_ATTR |
| 1967 | float64_muladd_scalbn(float64 a, float64 b, float64 c, |
| 1968 | int scale, int flags, float_status *status) |
| 1969 | { |
| 1970 | FloatParts64 pa = float64_unpack_canonical(a, status); |
| 1971 | FloatParts64 pb = float64_unpack_canonical(b, status); |
| 1972 | FloatParts64 pc = float64_unpack_canonical(c, status); |
| 1973 | FloatParts64 pr = parts64_muladd(&pa, &pb, &pc, flags, status); |
| 1974 | |
| 1975 | /* Before rounding, scale. */ |
| 1976 | if (scale) { |
| 1977 | pr = parts64_scalbn(&pr, scale, status); |
| 1978 | } |
| 1979 | parts64_uncanon(&pr, status, &float64_params, false); |
| 1980 | /* After rounding, apply negate result, especially for -0.0. */ |
| 1981 | if ((flags & float_muladd_negate_result) && !is_nan(pr.cls)) { |
| 1982 | pr.sign ^= 1; |
| 1983 | } |
| 1984 | return pack_raw64(&pr, &float64_params); |
| 1985 | } |
| 1986 | |
| 1987 | static bool force_soft_fma; |
| 1988 | |
| 1989 | float32 QEMU_FLATTEN |
| 1990 | float32_muladd(float32 xa, float32 xb, float32 xc, int flags, float_status *s) |
| 1991 | { |
| 1992 | union_float32 ua, ub, uc, ur; |
| 1993 | |
| 1994 | ua.s = xa; |
| 1995 | ub.s = xb; |
| 1996 | uc.s = xc; |
| 1997 | |
| 1998 | if (unlikely(!can_use_fpu(s))) { |
| 1999 | goto soft; |
| 2000 | } |
| 2001 | if (unlikely(flags & float_muladd_suppress_add_product_zero)) { |
| 2002 | goto soft; |
| 2003 | } |
| 2004 | |
| 2005 | float32_input_flush3(&ua.s, &ub.s, &uc.s, s); |
| 2006 | if (unlikely(!f32_is_zon3(ua, ub, uc))) { |
| 2007 | goto soft; |
| 2008 | } |
| 2009 | |
| 2010 | if (unlikely(force_soft_fma)) { |
| 2011 | goto soft; |
| 2012 | } |
| 2013 | |
| 2014 | /* |
| 2015 | * When (a || b) == 0, there's no need to check for under/over flow, |
| 2016 | * since we know the addend is (normal || 0) and the product is 0. |
| 2017 | */ |
| 2018 | if (float32_is_zero(ua.s) || float32_is_zero(ub.s)) { |
| 2019 | union_float32 up; |
| 2020 | bool prod_sign; |
| 2021 | |
| 2022 | prod_sign = float32_is_neg(ua.s) ^ float32_is_neg(ub.s); |
| 2023 | prod_sign ^= !!(flags & float_muladd_negate_product); |
| 2024 | up.s = float32_set_sign(float32_zero, prod_sign); |
| 2025 | |
| 2026 | if (flags & float_muladd_negate_c) { |
| 2027 | uc.h = -uc.h; |
| 2028 | } |
| 2029 | ur.h = up.h + uc.h; |
| 2030 | } else { |
| 2031 | union_float32 ua_orig = ua; |
| 2032 | union_float32 uc_orig = uc; |
| 2033 | |
| 2034 | if (flags & float_muladd_negate_product) { |
| 2035 | ua.h = -ua.h; |
| 2036 | } |
| 2037 | if (flags & float_muladd_negate_c) { |
| 2038 | uc.h = -uc.h; |
| 2039 | } |
| 2040 | |
| 2041 | ur.h = fmaf(ua.h, ub.h, uc.h); |
| 2042 | |
| 2043 | if (unlikely(f32_is_inf(ur))) { |
| 2044 | float_raise(float_flag_overflow, s); |
| 2045 | } else if (unlikely(fabsf(ur.h) <= FLT_MIN)) { |
| 2046 | ua = ua_orig; |
| 2047 | uc = uc_orig; |
| 2048 | goto soft; |
| 2049 | } |
| 2050 | } |
| 2051 | if (flags & float_muladd_negate_result) { |
| 2052 | return float32_chs(ur.s); |
| 2053 | } |
| 2054 | return ur.s; |
| 2055 | |
| 2056 | soft: |
| 2057 | return float32_muladd_scalbn(ua.s, ub.s, uc.s, 0, flags, s); |
| 2058 | } |
| 2059 | |
| 2060 | float64 QEMU_FLATTEN |
| 2061 | float64_muladd(float64 xa, float64 xb, float64 xc, int flags, float_status *s) |
| 2062 | { |
| 2063 | union_float64 ua, ub, uc, ur; |
| 2064 | |
| 2065 | ua.s = xa; |
| 2066 | ub.s = xb; |
| 2067 | uc.s = xc; |
| 2068 | |
| 2069 | if (unlikely(!can_use_fpu(s))) { |
| 2070 | goto soft; |
| 2071 | } |
| 2072 | |
| 2073 | float64_input_flush3(&ua.s, &ub.s, &uc.s, s); |
| 2074 | if (unlikely(!f64_is_zon3(ua, ub, uc))) { |
| 2075 | goto soft; |
| 2076 | } |
| 2077 | |
| 2078 | if (unlikely(force_soft_fma)) { |
| 2079 | goto soft; |
| 2080 | } |
| 2081 | |
| 2082 | /* |
| 2083 | * When (a || b) == 0, there's no need to check for under/over flow, |
| 2084 | * since we know the addend is (normal || 0) and the product is 0. |
| 2085 | */ |
| 2086 | if (float64_is_zero(ua.s) || float64_is_zero(ub.s)) { |
| 2087 | union_float64 up; |
| 2088 | bool prod_sign; |
| 2089 | |
| 2090 | prod_sign = float64_is_neg(ua.s) ^ float64_is_neg(ub.s); |
| 2091 | prod_sign ^= !!(flags & float_muladd_negate_product); |
| 2092 | up.s = float64_set_sign(float64_zero, prod_sign); |
| 2093 | |
| 2094 | if (flags & float_muladd_negate_c) { |
| 2095 | uc.h = -uc.h; |
| 2096 | } |
| 2097 | ur.h = up.h + uc.h; |
| 2098 | } else { |
| 2099 | union_float64 ua_orig = ua; |
| 2100 | union_float64 uc_orig = uc; |
| 2101 | |
| 2102 | if (flags & float_muladd_negate_product) { |
| 2103 | ua.h = -ua.h; |
| 2104 | } |
| 2105 | if (flags & float_muladd_negate_c) { |
| 2106 | uc.h = -uc.h; |
| 2107 | } |
| 2108 | |
| 2109 | ur.h = fma(ua.h, ub.h, uc.h); |
| 2110 | |
| 2111 | if (unlikely(f64_is_inf(ur))) { |
| 2112 | float_raise(float_flag_overflow, s); |
| 2113 | } else if (unlikely(fabs(ur.h) <= FLT_MIN)) { |
| 2114 | ua = ua_orig; |
| 2115 | uc = uc_orig; |
| 2116 | goto soft; |
| 2117 | } |
| 2118 | } |
| 2119 | if (flags & float_muladd_negate_result) { |
| 2120 | return float64_chs(ur.s); |
| 2121 | } |
| 2122 | return ur.s; |
| 2123 | |
| 2124 | soft: |
| 2125 | return float64_muladd_scalbn(ua.s, ub.s, uc.s, 0, flags, s); |
| 2126 | } |
| 2127 | |
| 2128 | float64 float64r32_muladd(float64 a, float64 b, float64 c, |
| 2129 | int flags, float_status *status) |
| 2130 | { |
| 2131 | FloatParts64 pa = float64_unpack_canonical(a, status); |
| 2132 | FloatParts64 pb = float64_unpack_canonical(b, status); |
| 2133 | FloatParts64 pc = float64_unpack_canonical(c, status); |
| 2134 | FloatParts64 pr = parts64_muladd(&pa, &pb, &pc, flags, status); |
| 2135 | |
| 2136 | /* Round before applying negate result. */ |
| 2137 | parts64_uncanon(&pr, status, &float32_params, false); |
| 2138 | if ((flags & float_muladd_negate_result) && !is_nan(pr.cls)) { |
| 2139 | pr.sign ^= 1; |
| 2140 | } |
| 2141 | return float64r32_pack_raw(&pr); |
| 2142 | } |
| 2143 | |
| 2144 | bfloat16 bfloat16_muladd(bfloat16 a, bfloat16 b, bfloat16 c, |
| 2145 | int flags, float_status *status) |
| 2146 | { |
| 2147 | FloatParts64 pa = bfloat16_unpack_canonical(a, status); |
| 2148 | FloatParts64 pb = bfloat16_unpack_canonical(b, status); |
| 2149 | FloatParts64 pc = bfloat16_unpack_canonical(c, status); |
| 2150 | FloatParts64 pr = parts64_muladd(&pa, &pb, &pc, flags, status); |
| 2151 | |
| 2152 | /* Round before applying negate result. */ |
| 2153 | parts64_uncanon(&pr, status, &bfloat16_params, false); |
| 2154 | if ((flags & float_muladd_negate_result) && !is_nan(pr.cls)) { |
| 2155 | pr.sign ^= 1; |
| 2156 | } |
| 2157 | return pack_raw64(&pr, &bfloat16_params); |
| 2158 | } |
| 2159 | |
| 2160 | float128 float128_muladd(float128 a, float128 b, float128 c, |
| 2161 | int flags, float_status *status) |
| 2162 | { |
| 2163 | FloatParts128 pa = float128_unpack_canonical(a, status); |
| 2164 | FloatParts128 pb = float128_unpack_canonical(b, status); |
| 2165 | FloatParts128 pc = float128_unpack_canonical(c, status); |
| 2166 | FloatParts128 pr = parts128_muladd(&pa, &pb, &pc, flags, status); |
| 2167 | |
| 2168 | /* Round before applying negate result. */ |
| 2169 | parts128_uncanon(&pr, status, &float128_params, false); |
| 2170 | if ((flags & float_muladd_negate_result) && !is_nan(pr.cls)) { |
| 2171 | pr.sign ^= 1; |
| 2172 | } |
| 2173 | return float128_pack_raw(&pr); |
| 2174 | } |
| 2175 | |
| 2176 | /* |
| 2177 | * Division |
| 2178 | */ |
| 2179 | |
| 2180 | float16 float16_div(float16 a, float16 b, float_status *status) |
| 2181 | { |
| 2182 | FloatParts64 pa = float16_unpack_canonical(a, status); |
| 2183 | FloatParts64 pb = float16_unpack_canonical(b, status); |
| 2184 | FloatParts64 pr = parts64_div(&pa, &pb, status); |
| 2185 | |
| 2186 | return float16_round_pack_canonical(&pr, status); |
| 2187 | } |
| 2188 | |
| 2189 | static float32 QEMU_SOFTFLOAT_ATTR |
| 2190 | soft_f32_div(float32 a, float32 b, float_status *status) |
| 2191 | { |
| 2192 | FloatParts64 pa = float32_unpack_canonical(a, status); |
| 2193 | FloatParts64 pb = float32_unpack_canonical(b, status); |
| 2194 | FloatParts64 pr = parts64_div(&pa, &pb, status); |
| 2195 | |
| 2196 | return float32_round_pack_canonical(&pr, status); |
| 2197 | } |
| 2198 | |
| 2199 | static float64 QEMU_SOFTFLOAT_ATTR |
| 2200 | soft_f64_div(float64 a, float64 b, float_status *status) |
| 2201 | { |
| 2202 | FloatParts64 pa = float64_unpack_canonical(a, status); |
| 2203 | FloatParts64 pb = float64_unpack_canonical(b, status); |
| 2204 | FloatParts64 pr = parts64_div(&pa, &pb, status); |
| 2205 | |
| 2206 | return float64_round_pack_canonical(&pr, status); |
| 2207 | } |
| 2208 | |
| 2209 | static float hard_f32_div(float a, float b) |
| 2210 | { |
| 2211 | return a / b; |
| 2212 | } |
| 2213 | |
| 2214 | static double hard_f64_div(double a, double b) |
| 2215 | { |
| 2216 | return a / b; |
| 2217 | } |
| 2218 | |
| 2219 | static bool f32_div_pre(union_float32 a, union_float32 b) |
| 2220 | { |
| 2221 | if (QEMU_HARDFLOAT_2F32_USE_FP) { |
| 2222 | return (fpclassify(a.h) == FP_NORMAL || fpclassify(a.h) == FP_ZERO) && |
| 2223 | fpclassify(b.h) == FP_NORMAL; |
| 2224 | } |
| 2225 | return float32_is_zero_or_normal(a.s) && float32_is_normal(b.s); |
| 2226 | } |
| 2227 | |
| 2228 | static bool f64_div_pre(union_float64 a, union_float64 b) |
| 2229 | { |
| 2230 | if (QEMU_HARDFLOAT_2F64_USE_FP) { |
| 2231 | return (fpclassify(a.h) == FP_NORMAL || fpclassify(a.h) == FP_ZERO) && |
| 2232 | fpclassify(b.h) == FP_NORMAL; |
| 2233 | } |
| 2234 | return float64_is_zero_or_normal(a.s) && float64_is_normal(b.s); |
| 2235 | } |
| 2236 | |
| 2237 | static bool f32_div_post(union_float32 a, union_float32 b) |
| 2238 | { |
| 2239 | if (QEMU_HARDFLOAT_2F32_USE_FP) { |
| 2240 | return fpclassify(a.h) != FP_ZERO; |
| 2241 | } |
| 2242 | return !float32_is_zero(a.s); |
| 2243 | } |
| 2244 | |
| 2245 | static bool f64_div_post(union_float64 a, union_float64 b) |
| 2246 | { |
| 2247 | if (QEMU_HARDFLOAT_2F64_USE_FP) { |
| 2248 | return fpclassify(a.h) != FP_ZERO; |
| 2249 | } |
| 2250 | return !float64_is_zero(a.s); |
| 2251 | } |
| 2252 | |
| 2253 | float32 QEMU_FLATTEN |
| 2254 | float32_div(float32 a, float32 b, float_status *s) |
| 2255 | { |
| 2256 | return float32_gen2(a, b, s, hard_f32_div, soft_f32_div, |
| 2257 | f32_div_pre, f32_div_post); |
| 2258 | } |
| 2259 | |
| 2260 | float64 QEMU_FLATTEN |
| 2261 | float64_div(float64 a, float64 b, float_status *s) |
| 2262 | { |
| 2263 | return float64_gen2(a, b, s, hard_f64_div, soft_f64_div, |
| 2264 | f64_div_pre, f64_div_post); |
| 2265 | } |
| 2266 | |
| 2267 | float64 float64r32_div(float64 a, float64 b, float_status *status) |
| 2268 | { |
| 2269 | FloatParts64 pa = float64_unpack_canonical(a, status); |
| 2270 | FloatParts64 pb = float64_unpack_canonical(b, status); |
| 2271 | FloatParts64 pr = parts64_div(&pa, &pb, status); |
| 2272 | |
| 2273 | return float64r32_round_pack_canonical(&pr, status); |
| 2274 | } |
| 2275 | |
| 2276 | bfloat16 QEMU_FLATTEN |
| 2277 | bfloat16_div(bfloat16 a, bfloat16 b, float_status *status) |
| 2278 | { |
| 2279 | FloatParts64 pa = bfloat16_unpack_canonical(a, status); |
| 2280 | FloatParts64 pb = bfloat16_unpack_canonical(b, status); |
| 2281 | FloatParts64 pr = parts64_div(&pa, &pb, status); |
| 2282 | |
| 2283 | return bfloat16_round_pack_canonical(&pr, status); |
| 2284 | } |
| 2285 | |
| 2286 | float128 QEMU_FLATTEN |
| 2287 | float128_div(float128 a, float128 b, float_status *status) |
| 2288 | { |
| 2289 | FloatParts128 pa = float128_unpack_canonical(a, status); |
| 2290 | FloatParts128 pb = float128_unpack_canonical(b, status); |
| 2291 | FloatParts128 pr = parts128_div(&pa, &pb, status); |
| 2292 | |
| 2293 | return float128_round_pack_canonical(&pr, status); |
| 2294 | } |
| 2295 | |
| 2296 | floatx80 floatx80_div(floatx80 a, floatx80 b, float_status *status) |
| 2297 | { |
| 2298 | FloatParts128 pa, pb; |
| 2299 | |
| 2300 | if (!floatx80_unpack_canonical(&pa, a, status) || |
| 2301 | !floatx80_unpack_canonical(&pb, b, status)) { |
| 2302 | return floatx80_default_nan(status); |
| 2303 | } |
| 2304 | |
| 2305 | pa = parts128_div(&pa, &pb, status); |
| 2306 | return floatx80_round_pack_canonical(&pa, status); |
| 2307 | } |
| 2308 | |
| 2309 | /* |
| 2310 | * Remainder |
| 2311 | */ |
| 2312 | |
| 2313 | float32 float32_rem(float32 a, float32 b, float_status *status) |
| 2314 | { |
| 2315 | FloatParts64 pa = float32_unpack_canonical(a, status); |
| 2316 | FloatParts64 pb = float32_unpack_canonical(b, status); |
| 2317 | FloatParts64 *pr = parts64_modrem(&pa, &pb, NULL, status); |
| 2318 | |
| 2319 | return float32_round_pack_canonical(pr, status); |
| 2320 | } |
| 2321 | |
| 2322 | float64 float64_rem(float64 a, float64 b, float_status *status) |
| 2323 | { |
| 2324 | FloatParts64 pa = float64_unpack_canonical(a, status); |
| 2325 | FloatParts64 pb = float64_unpack_canonical(b, status); |
| 2326 | FloatParts64 *pr = parts64_modrem(&pa, &pb, NULL, status); |
| 2327 | |
| 2328 | return float64_round_pack_canonical(pr, status); |
| 2329 | } |
| 2330 | |
| 2331 | float128 float128_rem(float128 a, float128 b, float_status *status) |
| 2332 | { |
| 2333 | FloatParts128 pa = float128_unpack_canonical(a, status); |
| 2334 | FloatParts128 pb = float128_unpack_canonical(b, status); |
| 2335 | FloatParts128 *pr = parts128_modrem(&pa, &pb, NULL, status); |
| 2336 | |
| 2337 | return float128_round_pack_canonical(pr, status); |
| 2338 | } |
| 2339 | |
| 2340 | /* |
| 2341 | * Returns the remainder of the extended double-precision floating-point value |
| 2342 | * `a' with respect to the corresponding value `b'. |
| 2343 | * If 'mod' is false, the operation is performed according to the IEC/IEEE |
| 2344 | * Standard for Binary Floating-Point Arithmetic. If 'mod' is true, return |
| 2345 | * the remainder based on truncating the quotient toward zero instead and |
| 2346 | * *quotient is set to the low 64 bits of the absolute value of the integer |
| 2347 | * quotient. |
| 2348 | */ |
| 2349 | floatx80 floatx80_modrem(floatx80 a, floatx80 b, bool mod, |
| 2350 | uint64_t *quotient, float_status *status) |
| 2351 | { |
| 2352 | FloatParts128 pa, pb, *pr; |
| 2353 | |
| 2354 | *quotient = 0; |
| 2355 | if (!floatx80_unpack_canonical(&pa, a, status) || |
| 2356 | !floatx80_unpack_canonical(&pb, b, status)) { |
| 2357 | return floatx80_default_nan(status); |
| 2358 | } |
| 2359 | pr = parts128_modrem(&pa, &pb, mod ? quotient : NULL, status); |
| 2360 | |
| 2361 | return floatx80_round_pack_canonical(pr, status); |
| 2362 | } |
| 2363 | |
| 2364 | floatx80 floatx80_rem(floatx80 a, floatx80 b, float_status *status) |
| 2365 | { |
| 2366 | uint64_t quotient; |
| 2367 | return floatx80_modrem(a, b, false, "ient, status); |
| 2368 | } |
| 2369 | |
| 2370 | floatx80 floatx80_mod(floatx80 a, floatx80 b, float_status *status) |
| 2371 | { |
| 2372 | uint64_t quotient; |
| 2373 | return floatx80_modrem(a, b, true, "ient, status); |
| 2374 | } |
| 2375 | |
| 2376 | /* |
| 2377 | * Float to Float conversions |
| 2378 | * |
| 2379 | * Returns the result of converting one float format to another. The |
| 2380 | * conversion is performed according to the IEC/IEEE Standard for |
| 2381 | * Binary Floating-Point Arithmetic. |
| 2382 | * |
| 2383 | * Usually this only needs to take care of raising invalid exceptions |
| 2384 | * and handling the conversion on NaNs. |
| 2385 | */ |
| 2386 | |
| 2387 | static void parts_float_to_ahp(FloatParts64 *a, float_status *s) |
| 2388 | { |
| 2389 | switch (a->cls) { |
| 2390 | case float_class_snan: |
| 2391 | float_raise(float_flag_invalid_snan, s); |
| 2392 | /* fall through */ |
| 2393 | case float_class_qnan: |
| 2394 | /* |
| 2395 | * There is no NaN in the destination format. Raise Invalid |
| 2396 | * and return a zero with the sign of the input NaN. |
| 2397 | */ |
| 2398 | float_raise(float_flag_invalid, s); |
| 2399 | a->cls = float_class_zero; |
| 2400 | break; |
| 2401 | |
| 2402 | case float_class_inf: |
| 2403 | /* |
| 2404 | * There is no Inf in the destination format. Raise Invalid |
| 2405 | * and return the maximum normal with the correct sign. |
| 2406 | */ |
| 2407 | float_raise(float_flag_invalid, s); |
| 2408 | a->cls = float_class_normal; |
| 2409 | a->exp = float16_params_ahp.exp_max; |
| 2410 | a->frac = MAKE_64BIT_MASK(float16_params_ahp.frac_shift, |
| 2411 | float16_params_ahp.frac_size + 1); |
| 2412 | break; |
| 2413 | |
| 2414 | case float_class_denormal: |
| 2415 | float_raise(float_flag_input_denormal_used, s); |
| 2416 | break; |
| 2417 | case float_class_normal: |
| 2418 | case float_class_zero: |
| 2419 | break; |
| 2420 | |
| 2421 | default: |
| 2422 | g_assert_not_reached(); |
| 2423 | } |
| 2424 | } |
| 2425 | |
| 2426 | static void parts_float_to_e5m2(FloatParts64 *a, float_status *s, bool saturate) |
| 2427 | { |
| 2428 | switch (a->cls) { |
| 2429 | case float_class_snan: |
| 2430 | case float_class_qnan: |
| 2431 | *a = parts64_return_nan(a, s); |
| 2432 | break; |
| 2433 | |
| 2434 | case float_class_inf: |
| 2435 | /* Per OCP, conversion in SATURATE mode bounds Inf to MAX. */ |
| 2436 | if (saturate) { |
| 2437 | a->cls = float_class_normal; |
| 2438 | a->exp = float8_e5m2_params.exp_max - 1; |
| 2439 | a->frac = MAKE_64BIT_MASK(float8_e5m2_params.frac_shift, |
| 2440 | float8_e5m2_params.frac_size + 1); |
| 2441 | } |
| 2442 | break; |
| 2443 | |
| 2444 | case float_class_denormal: |
| 2445 | float_raise(float_flag_input_denormal_used, s); |
| 2446 | break; |
| 2447 | case float_class_normal: |
| 2448 | case float_class_zero: |
| 2449 | break; |
| 2450 | default: |
| 2451 | g_assert_not_reached(); |
| 2452 | } |
| 2453 | } |
| 2454 | |
| 2455 | static void parts64_float_to_float(FloatParts64 *a, float_status *s) |
| 2456 | { |
| 2457 | if (is_nan(a->cls)) { |
| 2458 | *a = parts64_return_nan(a, s); |
| 2459 | } |
| 2460 | if (a->cls == float_class_denormal) { |
| 2461 | float_raise(float_flag_input_denormal_used, s); |
| 2462 | } |
| 2463 | } |
| 2464 | |
| 2465 | static void parts128_float_to_float(FloatParts128 *a, float_status *s) |
| 2466 | { |
| 2467 | if (is_nan(a->cls)) { |
| 2468 | *a = parts128_return_nan(a, s); |
| 2469 | } |
| 2470 | if (a->cls == float_class_denormal) { |
| 2471 | float_raise(float_flag_input_denormal_used, s); |
| 2472 | } |
| 2473 | } |
| 2474 | |
| 2475 | static FloatParts64 parts128_to_parts64(FloatParts128 *b, float_status *s) |
| 2476 | { |
| 2477 | FloatParts64 r = { |
| 2478 | .cls = b->cls, |
| 2479 | .sign = b->sign, |
| 2480 | .exp = b->exp, |
| 2481 | }; |
| 2482 | |
| 2483 | switch (r.cls) { |
| 2484 | case float_class_denormal: |
| 2485 | float_raise(float_flag_input_denormal_used, s); |
| 2486 | /* fall through */ |
| 2487 | case float_class_normal: |
| 2488 | frac64_truncjam(&r, b); |
| 2489 | break; |
| 2490 | case float_class_snan: |
| 2491 | case float_class_qnan: |
| 2492 | /* Discard the low bits of the NaN. */ |
| 2493 | r.frac = b->frac_hi; |
| 2494 | r = parts64_return_nan(&r, s); |
| 2495 | break; |
| 2496 | default: |
| 2497 | break; |
| 2498 | } |
| 2499 | return r; |
| 2500 | } |
| 2501 | |
| 2502 | static FloatParts128 parts64_to_parts128(FloatParts64 *b, float_status *s) |
| 2503 | { |
| 2504 | FloatParts128 r = { |
| 2505 | .cls = b->cls, |
| 2506 | .sign = b->sign, |
| 2507 | .exp = b->exp, |
| 2508 | .frac_hi = b->frac, |
| 2509 | }; |
| 2510 | |
| 2511 | switch (r.cls) { |
| 2512 | case float_class_qnan: |
| 2513 | case float_class_snan: |
| 2514 | r = parts128_return_nan(&r, s); |
| 2515 | break; |
| 2516 | case float_class_denormal: |
| 2517 | float_raise(float_flag_input_denormal_used, s); |
| 2518 | break; |
| 2519 | default: |
| 2520 | break; |
| 2521 | } |
| 2522 | return r; |
| 2523 | } |
| 2524 | |
| 2525 | float8_e4m3 float4_e2m1_to_float8_e4m3(float4_e2m1 a, float_status *s) |
| 2526 | { |
| 2527 | FloatParts64 p = float4_e2m1_unpack_canonical(a, s); |
| 2528 | parts64_float_to_float(&p, s); |
| 2529 | return float8_e4m3_round_pack_canonical(&p, s, false); |
| 2530 | } |
| 2531 | |
| 2532 | bfloat16 float8_e4m3_to_bfloat16(float8_e4m3 a, float_status *s) |
| 2533 | { |
| 2534 | FloatParts64 p = float8_e4m3_unpack_canonical(a, s); |
| 2535 | parts64_float_to_float(&p, s); |
| 2536 | return bfloat16_round_pack_canonical(&p, s); |
| 2537 | } |
| 2538 | |
| 2539 | bfloat16 float8_e5m2_to_bfloat16(float8_e5m2 a, float_status *s) |
| 2540 | { |
| 2541 | FloatParts64 p = float8_e5m2_unpack_canonical(a, s); |
| 2542 | parts64_float_to_float(&p, s); |
| 2543 | return bfloat16_round_pack_canonical(&p, s); |
| 2544 | } |
| 2545 | |
| 2546 | float32 float16_to_float32(float16 a, bool ieee, float_status *s) |
| 2547 | { |
| 2548 | const FloatFmt *fmt16 = ieee ? &float16_params : &float16_params_ahp; |
| 2549 | FloatParts64 p = float16a_unpack_canonical(a, s, fmt16); |
| 2550 | |
| 2551 | parts64_float_to_float(&p, s); |
| 2552 | return float32_round_pack_canonical(&p, s); |
| 2553 | } |
| 2554 | |
| 2555 | float64 float16_to_float64(float16 a, bool ieee, float_status *s) |
| 2556 | { |
| 2557 | const FloatFmt *fmt16 = ieee ? &float16_params : &float16_params_ahp; |
| 2558 | FloatParts64 p = float16a_unpack_canonical(a, s, fmt16); |
| 2559 | |
| 2560 | parts64_float_to_float(&p, s); |
| 2561 | return float64_round_pack_canonical(&p, s); |
| 2562 | } |
| 2563 | |
| 2564 | float8_e4m3 float32_to_float8_e4m3(float32 a, bool saturate, float_status *s) |
| 2565 | { |
| 2566 | FloatParts64 p = float32_unpack_canonical(a, s); |
| 2567 | |
| 2568 | parts64_float_to_float(&p, s); |
| 2569 | return float8_e4m3_round_pack_canonical(&p, s, saturate); |
| 2570 | } |
| 2571 | |
| 2572 | float8_e5m2 float32_to_float8_e5m2(float32 a, bool saturate, float_status *s) |
| 2573 | { |
| 2574 | FloatParts64 p = float32_unpack_canonical(a, s); |
| 2575 | |
| 2576 | parts_float_to_e5m2(&p, s, saturate); |
| 2577 | return float8_e5m2_round_pack_canonical(&p, s, saturate); |
| 2578 | } |
| 2579 | |
| 2580 | float16 float32_to_float16(float32 a, bool ieee, float_status *s) |
| 2581 | { |
| 2582 | FloatParts64 p = float32_unpack_canonical(a, s); |
| 2583 | const FloatFmt *fmt; |
| 2584 | |
| 2585 | if (ieee) { |
| 2586 | parts64_float_to_float(&p, s); |
| 2587 | fmt = &float16_params; |
| 2588 | } else { |
| 2589 | parts_float_to_ahp(&p, s); |
| 2590 | fmt = &float16_params_ahp; |
| 2591 | } |
| 2592 | return float16a_round_pack_canonical(&p, s, fmt); |
| 2593 | } |
| 2594 | |
| 2595 | static float64 QEMU_SOFTFLOAT_ATTR |
| 2596 | soft_float32_to_float64(float32 a, float_status *s) |
| 2597 | { |
| 2598 | FloatParts64 p = float32_unpack_canonical(a, s); |
| 2599 | |
| 2600 | parts64_float_to_float(&p, s); |
| 2601 | return float64_round_pack_canonical(&p, s); |
| 2602 | } |
| 2603 | |
| 2604 | float64 float32_to_float64(float32 a, float_status *s) |
| 2605 | { |
| 2606 | if (likely(float32_is_normal(a))) { |
| 2607 | /* Widening conversion can never produce inexact results. */ |
| 2608 | union_float32 uf; |
| 2609 | union_float64 ud; |
| 2610 | uf.s = a; |
| 2611 | ud.h = uf.h; |
| 2612 | return ud.s; |
| 2613 | } else if (float32_is_zero(a)) { |
| 2614 | return float64_set_sign(float64_zero, float32_is_neg(a)); |
| 2615 | } else { |
| 2616 | return soft_float32_to_float64(a, s); |
| 2617 | } |
| 2618 | } |
| 2619 | |
| 2620 | float16 float64_to_float16(float64 a, bool ieee, float_status *s) |
| 2621 | { |
| 2622 | FloatParts64 p = float64_unpack_canonical(a, s); |
| 2623 | const FloatFmt *fmt; |
| 2624 | |
| 2625 | if (ieee) { |
| 2626 | parts64_float_to_float(&p, s); |
| 2627 | fmt = &float16_params; |
| 2628 | } else { |
| 2629 | parts_float_to_ahp(&p, s); |
| 2630 | fmt = &float16_params_ahp; |
| 2631 | } |
| 2632 | return float16a_round_pack_canonical(&p, s, fmt); |
| 2633 | } |
| 2634 | |
| 2635 | float32 float64_to_float32(float64 a, float_status *s) |
| 2636 | { |
| 2637 | FloatParts64 p = float64_unpack_canonical(a, s); |
| 2638 | |
| 2639 | parts64_float_to_float(&p, s); |
| 2640 | return float32_round_pack_canonical(&p, s); |
| 2641 | } |
| 2642 | |
| 2643 | float8_e4m3 bfloat16_to_float8_e4m3(bfloat16 a, bool saturate, float_status *s) |
| 2644 | { |
| 2645 | FloatParts64 p = bfloat16_unpack_canonical(a, s); |
| 2646 | |
| 2647 | parts64_float_to_float(&p, s); |
| 2648 | return float8_e4m3_round_pack_canonical(&p, s, saturate); |
| 2649 | } |
| 2650 | |
| 2651 | float8_e5m2 bfloat16_to_float8_e5m2(bfloat16 a, bool saturate, float_status *s) |
| 2652 | { |
| 2653 | FloatParts64 p = bfloat16_unpack_canonical(a, s); |
| 2654 | |
| 2655 | parts_float_to_e5m2(&p, s, saturate); |
| 2656 | return float8_e5m2_round_pack_canonical(&p, s, saturate); |
| 2657 | } |
| 2658 | |
| 2659 | float32 bfloat16_to_float32(bfloat16 a, float_status *s) |
| 2660 | { |
| 2661 | FloatParts64 p = bfloat16_unpack_canonical(a, s); |
| 2662 | |
| 2663 | parts64_float_to_float(&p, s); |
| 2664 | return float32_round_pack_canonical(&p, s); |
| 2665 | } |
| 2666 | |
| 2667 | float64 bfloat16_to_float64(bfloat16 a, float_status *s) |
| 2668 | { |
| 2669 | FloatParts64 p = bfloat16_unpack_canonical(a, s); |
| 2670 | |
| 2671 | parts64_float_to_float(&p, s); |
| 2672 | return float64_round_pack_canonical(&p, s); |
| 2673 | } |
| 2674 | |
| 2675 | bfloat16 float32_to_bfloat16(float32 a, float_status *s) |
| 2676 | { |
| 2677 | FloatParts64 p = float32_unpack_canonical(a, s); |
| 2678 | |
| 2679 | parts64_float_to_float(&p, s); |
| 2680 | return bfloat16_round_pack_canonical(&p, s); |
| 2681 | } |
| 2682 | |
| 2683 | bfloat16 float64_to_bfloat16(float64 a, float_status *s) |
| 2684 | { |
| 2685 | FloatParts64 p = float64_unpack_canonical(a, s); |
| 2686 | |
| 2687 | parts64_float_to_float(&p, s); |
| 2688 | return bfloat16_round_pack_canonical(&p, s); |
| 2689 | } |
| 2690 | |
| 2691 | float32 float128_to_float32(float128 a, float_status *s) |
| 2692 | { |
| 2693 | FloatParts128 p128 = float128_unpack_canonical(a, s); |
| 2694 | FloatParts64 p64 = parts128_to_parts64(&p128, s); |
| 2695 | |
| 2696 | return float32_round_pack_canonical(&p64, s); |
| 2697 | } |
| 2698 | |
| 2699 | float64 float128_to_float64(float128 a, float_status *s) |
| 2700 | { |
| 2701 | FloatParts128 p128 = float128_unpack_canonical(a, s); |
| 2702 | FloatParts64 p64 = parts128_to_parts64(&p128, s); |
| 2703 | |
| 2704 | return float64_round_pack_canonical(&p64, s); |
| 2705 | } |
| 2706 | |
| 2707 | float128 float32_to_float128(float32 a, float_status *s) |
| 2708 | { |
| 2709 | FloatParts64 p64 = float32_unpack_canonical(a, s); |
| 2710 | FloatParts128 p128 = parts64_to_parts128(&p64, s); |
| 2711 | |
| 2712 | return float128_round_pack_canonical(&p128, s); |
| 2713 | } |
| 2714 | |
| 2715 | float128 float64_to_float128(float64 a, float_status *s) |
| 2716 | { |
| 2717 | FloatParts64 p64 = float64_unpack_canonical(a, s); |
| 2718 | FloatParts128 p128 = parts64_to_parts128(&p64, s); |
| 2719 | |
| 2720 | return float128_round_pack_canonical(&p128, s); |
| 2721 | } |
| 2722 | |
| 2723 | float32 floatx80_to_float32(floatx80 a, float_status *s) |
| 2724 | { |
| 2725 | FloatParts64 p64; |
| 2726 | FloatParts128 p128; |
| 2727 | |
| 2728 | if (floatx80_unpack_canonical(&p128, a, s)) { |
| 2729 | p64 = parts128_to_parts64(&p128, s); |
| 2730 | } else { |
| 2731 | p64 = parts64_default_nan(s); |
| 2732 | } |
| 2733 | return float32_round_pack_canonical(&p64, s); |
| 2734 | } |
| 2735 | |
| 2736 | float64 floatx80_to_float64(floatx80 a, float_status *s) |
| 2737 | { |
| 2738 | FloatParts64 p64; |
| 2739 | FloatParts128 p128; |
| 2740 | |
| 2741 | if (floatx80_unpack_canonical(&p128, a, s)) { |
| 2742 | p64 = parts128_to_parts64(&p128, s); |
| 2743 | } else { |
| 2744 | p64 = parts64_default_nan(s); |
| 2745 | } |
| 2746 | return float64_round_pack_canonical(&p64, s); |
| 2747 | } |
| 2748 | |
| 2749 | float128 floatx80_to_float128(floatx80 a, float_status *s) |
| 2750 | { |
| 2751 | FloatParts128 p; |
| 2752 | |
| 2753 | if (floatx80_unpack_canonical(&p, a, s)) { |
| 2754 | parts128_float_to_float(&p, s); |
| 2755 | } else { |
| 2756 | p = parts128_default_nan(s); |
| 2757 | } |
| 2758 | return float128_round_pack_canonical(&p, s); |
| 2759 | } |
| 2760 | |
| 2761 | floatx80 float32_to_floatx80(float32 a, float_status *s) |
| 2762 | { |
| 2763 | FloatParts64 p64 = float32_unpack_canonical(a, s); |
| 2764 | FloatParts128 p128 = parts64_to_parts128(&p64, s); |
| 2765 | |
| 2766 | return floatx80_round_pack_canonical(&p128, s); |
| 2767 | } |
| 2768 | |
| 2769 | floatx80 float64_to_floatx80(float64 a, float_status *s) |
| 2770 | { |
| 2771 | FloatParts64 p64 = float64_unpack_canonical(a, s); |
| 2772 | FloatParts128 p128 = parts64_to_parts128(&p64, s); |
| 2773 | |
| 2774 | return floatx80_round_pack_canonical(&p128, s); |
| 2775 | } |
| 2776 | |
| 2777 | floatx80 float128_to_floatx80(float128 a, float_status *s) |
| 2778 | { |
| 2779 | FloatParts128 p = float128_unpack_canonical(a, s); |
| 2780 | |
| 2781 | parts128_float_to_float(&p, s); |
| 2782 | return floatx80_round_pack_canonical(&p, s); |
| 2783 | } |
| 2784 | |
| 2785 | /* |
| 2786 | * Round to integral value |
| 2787 | */ |
| 2788 | |
| 2789 | float16 float16_round_to_int(float16 a, float_status *s) |
| 2790 | { |
| 2791 | FloatParts64 p = float16_unpack_canonical(a, s); |
| 2792 | |
| 2793 | p = parts64_round_to_int(&p, get_float_rounding_mode(s), 0, s, |
| 2794 | &float16_params); |
| 2795 | return float16_round_pack_canonical(&p, s); |
| 2796 | } |
| 2797 | |
| 2798 | float32 float32_round_to_int(float32 a, float_status *s) |
| 2799 | { |
| 2800 | FloatParts64 p = float32_unpack_canonical(a, s); |
| 2801 | |
| 2802 | p = parts64_round_to_int(&p, get_float_rounding_mode(s), 0, s, |
| 2803 | &float32_params); |
| 2804 | return float32_round_pack_canonical(&p, s); |
| 2805 | } |
| 2806 | |
| 2807 | float64 float64_round_to_int(float64 a, float_status *s) |
| 2808 | { |
| 2809 | FloatParts64 p = float64_unpack_canonical(a, s); |
| 2810 | |
| 2811 | p = parts64_round_to_int(&p, get_float_rounding_mode(s), 0, s, |
| 2812 | &float64_params); |
| 2813 | return float64_round_pack_canonical(&p, s); |
| 2814 | } |
| 2815 | |
| 2816 | bfloat16 bfloat16_round_to_int(bfloat16 a, float_status *s) |
| 2817 | { |
| 2818 | FloatParts64 p = bfloat16_unpack_canonical(a, s); |
| 2819 | |
| 2820 | p = parts64_round_to_int(&p, get_float_rounding_mode(s), 0, s, |
| 2821 | &bfloat16_params); |
| 2822 | return bfloat16_round_pack_canonical(&p, s); |
| 2823 | } |
| 2824 | |
| 2825 | float128 float128_round_to_int(float128 a, float_status *s) |
| 2826 | { |
| 2827 | FloatParts128 p = float128_unpack_canonical(a, s); |
| 2828 | |
| 2829 | p = parts128_round_to_int(&p, get_float_rounding_mode(s), 0, s, |
| 2830 | &float128_params); |
| 2831 | return float128_round_pack_canonical(&p, s); |
| 2832 | } |
| 2833 | |
| 2834 | floatx80 floatx80_round_to_int(floatx80 a, float_status *status) |
| 2835 | { |
| 2836 | FloatParts128 p; |
| 2837 | |
| 2838 | if (!floatx80_unpack_canonical(&p, a, status)) { |
| 2839 | return floatx80_default_nan(status); |
| 2840 | } |
| 2841 | |
| 2842 | p = parts128_round_to_int(&p, get_float_rounding_mode(status), 0, status, |
| 2843 | &floatx80_params[get_floatx80_rounding_precision(status)]); |
| 2844 | return floatx80_round_pack_canonical(&p, status); |
| 2845 | } |
| 2846 | |
| 2847 | /* |
| 2848 | * Floating-point to signed integer conversions |
| 2849 | */ |
| 2850 | |
| 2851 | int8_t float16_to_int8_scalbn(float16 a, FloatRoundMode rmode, int scale, |
| 2852 | float_status *s) |
| 2853 | { |
| 2854 | FloatParts64 p = float16_unpack_canonical(a, s); |
| 2855 | return parts64_float_to_sint(&p, rmode, scale, INT8_MIN, INT8_MAX, s); |
| 2856 | } |
| 2857 | |
| 2858 | int16_t float16_to_int16_scalbn(float16 a, FloatRoundMode rmode, int scale, |
| 2859 | float_status *s) |
| 2860 | { |
| 2861 | FloatParts64 p = float16_unpack_canonical(a, s); |
| 2862 | return parts64_float_to_sint(&p, rmode, scale, INT16_MIN, INT16_MAX, s); |
| 2863 | } |
| 2864 | |
| 2865 | int32_t float16_to_int32_scalbn(float16 a, FloatRoundMode rmode, int scale, |
| 2866 | float_status *s) |
| 2867 | { |
| 2868 | FloatParts64 p = float16_unpack_canonical(a, s); |
| 2869 | return parts64_float_to_sint(&p, rmode, scale, INT32_MIN, INT32_MAX, s); |
| 2870 | } |
| 2871 | |
| 2872 | int64_t float16_to_int64_scalbn(float16 a, FloatRoundMode rmode, int scale, |
| 2873 | float_status *s) |
| 2874 | { |
| 2875 | FloatParts64 p = float16_unpack_canonical(a, s); |
| 2876 | return parts64_float_to_sint(&p, rmode, scale, INT64_MIN, INT64_MAX, s); |
| 2877 | } |
| 2878 | |
| 2879 | int16_t float32_to_int16_scalbn(float32 a, FloatRoundMode rmode, int scale, |
| 2880 | float_status *s) |
| 2881 | { |
| 2882 | FloatParts64 p = float32_unpack_canonical(a, s); |
| 2883 | return parts64_float_to_sint(&p, rmode, scale, INT16_MIN, INT16_MAX, s); |
| 2884 | } |
| 2885 | |
| 2886 | int32_t float32_to_int32_scalbn(float32 a, FloatRoundMode rmode, int scale, |
| 2887 | float_status *s) |
| 2888 | { |
| 2889 | FloatParts64 p = float32_unpack_canonical(a, s); |
| 2890 | return parts64_float_to_sint(&p, rmode, scale, INT32_MIN, INT32_MAX, s); |
| 2891 | } |
| 2892 | |
| 2893 | int64_t float32_to_int64_scalbn(float32 a, FloatRoundMode rmode, int scale, |
| 2894 | float_status *s) |
| 2895 | { |
| 2896 | FloatParts64 p = float32_unpack_canonical(a, s); |
| 2897 | return parts64_float_to_sint(&p, rmode, scale, INT64_MIN, INT64_MAX, s); |
| 2898 | } |
| 2899 | |
| 2900 | int16_t float64_to_int16_scalbn(float64 a, FloatRoundMode rmode, int scale, |
| 2901 | float_status *s) |
| 2902 | { |
| 2903 | FloatParts64 p = float64_unpack_canonical(a, s); |
| 2904 | return parts64_float_to_sint(&p, rmode, scale, INT16_MIN, INT16_MAX, s); |
| 2905 | } |
| 2906 | |
| 2907 | int32_t float64_to_int32_scalbn(float64 a, FloatRoundMode rmode, int scale, |
| 2908 | float_status *s) |
| 2909 | { |
| 2910 | FloatParts64 p = float64_unpack_canonical(a, s); |
| 2911 | return parts64_float_to_sint(&p, rmode, scale, INT32_MIN, INT32_MAX, s); |
| 2912 | } |
| 2913 | |
| 2914 | int64_t float64_to_int64_scalbn(float64 a, FloatRoundMode rmode, int scale, |
| 2915 | float_status *s) |
| 2916 | { |
| 2917 | FloatParts64 p = float64_unpack_canonical(a, s); |
| 2918 | return parts64_float_to_sint(&p, rmode, scale, INT64_MIN, INT64_MAX, s); |
| 2919 | } |
| 2920 | |
| 2921 | int8_t bfloat16_to_int8_scalbn(bfloat16 a, FloatRoundMode rmode, int scale, |
| 2922 | float_status *s) |
| 2923 | { |
| 2924 | FloatParts64 p = bfloat16_unpack_canonical(a, s); |
| 2925 | return parts64_float_to_sint(&p, rmode, scale, INT8_MIN, INT8_MAX, s); |
| 2926 | } |
| 2927 | |
| 2928 | int16_t bfloat16_to_int16_scalbn(bfloat16 a, FloatRoundMode rmode, int scale, |
| 2929 | float_status *s) |
| 2930 | { |
| 2931 | FloatParts64 p = bfloat16_unpack_canonical(a, s); |
| 2932 | return parts64_float_to_sint(&p, rmode, scale, INT16_MIN, INT16_MAX, s); |
| 2933 | } |
| 2934 | |
| 2935 | int32_t bfloat16_to_int32_scalbn(bfloat16 a, FloatRoundMode rmode, int scale, |
| 2936 | float_status *s) |
| 2937 | { |
| 2938 | FloatParts64 p = bfloat16_unpack_canonical(a, s); |
| 2939 | return parts64_float_to_sint(&p, rmode, scale, INT32_MIN, INT32_MAX, s); |
| 2940 | } |
| 2941 | |
| 2942 | int64_t bfloat16_to_int64_scalbn(bfloat16 a, FloatRoundMode rmode, int scale, |
| 2943 | float_status *s) |
| 2944 | { |
| 2945 | FloatParts64 p = bfloat16_unpack_canonical(a, s); |
| 2946 | return parts64_float_to_sint(&p, rmode, scale, INT64_MIN, INT64_MAX, s); |
| 2947 | } |
| 2948 | |
| 2949 | static int32_t float128_to_int32_scalbn(float128 a, FloatRoundMode rmode, |
| 2950 | int scale, float_status *s) |
| 2951 | { |
| 2952 | FloatParts128 p = float128_unpack_canonical(a, s); |
| 2953 | return parts128_float_to_sint(&p, rmode, scale, INT32_MIN, INT32_MAX, s); |
| 2954 | } |
| 2955 | |
| 2956 | static int64_t float128_to_int64_scalbn(float128 a, FloatRoundMode rmode, |
| 2957 | int scale, float_status *s) |
| 2958 | { |
| 2959 | FloatParts128 p = float128_unpack_canonical(a, s); |
| 2960 | return parts128_float_to_sint(&p, rmode, scale, INT64_MIN, INT64_MAX, s); |
| 2961 | } |
| 2962 | |
| 2963 | static Int128 float128_to_int128_scalbn(float128 a, FloatRoundMode rmode, |
| 2964 | int scale, float_status *s) |
| 2965 | { |
| 2966 | FloatExceptionFlags flags = 0; |
| 2967 | Int128 r; |
| 2968 | FloatParts128 p = float128_unpack_canonical(a, s); |
| 2969 | |
| 2970 | switch (p.cls) { |
| 2971 | case float_class_snan: |
| 2972 | flags |= float_flag_invalid_snan; |
| 2973 | /* fall through */ |
| 2974 | case float_class_qnan: |
| 2975 | flags |= float_flag_invalid; |
| 2976 | r = UINT128_MAX; |
| 2977 | break; |
| 2978 | |
| 2979 | case float_class_inf: |
| 2980 | flags = float_flag_invalid | float_flag_invalid_cvti; |
| 2981 | r = p.sign ? INT128_MIN : INT128_MAX; |
| 2982 | break; |
| 2983 | |
| 2984 | case float_class_zero: |
| 2985 | return int128_zero(); |
| 2986 | |
| 2987 | case float_class_normal: |
| 2988 | case float_class_denormal: |
| 2989 | if (parts128_round_to_int_normal(&p, rmode, scale, 128 - 2)) { |
| 2990 | flags = float_flag_inexact; |
| 2991 | } |
| 2992 | |
| 2993 | if (p.exp < 127) { |
| 2994 | int shift = 127 - p.exp; |
| 2995 | r = int128_urshift(int128_make128(p.frac_lo, p.frac_hi), shift); |
| 2996 | if (p.sign) { |
| 2997 | r = int128_neg(r); |
| 2998 | } |
| 2999 | } else if (p.exp == 127 && p.sign && p.frac_lo == 0 && |
| 3000 | p.frac_hi == DECOMPOSED_IMPLICIT_BIT) { |
| 3001 | r = INT128_MIN; |
| 3002 | } else { |
| 3003 | flags = float_flag_invalid | float_flag_invalid_cvti; |
| 3004 | r = p.sign ? INT128_MIN : INT128_MAX; |
| 3005 | } |
| 3006 | break; |
| 3007 | |
| 3008 | default: |
| 3009 | g_assert_not_reached(); |
| 3010 | } |
| 3011 | |
| 3012 | float_raise(flags, s); |
| 3013 | return r; |
| 3014 | } |
| 3015 | |
| 3016 | static int32_t floatx80_to_int32_scalbn(floatx80 a, FloatRoundMode rmode, |
| 3017 | int scale, float_status *s) |
| 3018 | { |
| 3019 | FloatParts128 p; |
| 3020 | |
| 3021 | if (!floatx80_unpack_canonical(&p, a, s)) { |
| 3022 | p = parts128_default_nan(s); |
| 3023 | } |
| 3024 | return parts128_float_to_sint(&p, rmode, scale, INT32_MIN, INT32_MAX, s); |
| 3025 | } |
| 3026 | |
| 3027 | static int64_t floatx80_to_int64_scalbn(floatx80 a, FloatRoundMode rmode, |
| 3028 | int scale, float_status *s) |
| 3029 | { |
| 3030 | FloatParts128 p; |
| 3031 | |
| 3032 | if (!floatx80_unpack_canonical(&p, a, s)) { |
| 3033 | p = parts128_default_nan(s); |
| 3034 | } |
| 3035 | return parts128_float_to_sint(&p, rmode, scale, INT64_MIN, INT64_MAX, s); |
| 3036 | } |
| 3037 | |
| 3038 | int8_t float16_to_int8(float16 a, float_status *s) |
| 3039 | { |
| 3040 | return float16_to_int8_scalbn(a, get_float_rounding_mode(s), 0, s); |
| 3041 | } |
| 3042 | |
| 3043 | int16_t float16_to_int16(float16 a, float_status *s) |
| 3044 | { |
| 3045 | return float16_to_int16_scalbn(a, get_float_rounding_mode(s), 0, s); |
| 3046 | } |
| 3047 | |
| 3048 | int32_t float16_to_int32(float16 a, float_status *s) |
| 3049 | { |
| 3050 | return float16_to_int32_scalbn(a, get_float_rounding_mode(s), 0, s); |
| 3051 | } |
| 3052 | |
| 3053 | int64_t float16_to_int64(float16 a, float_status *s) |
| 3054 | { |
| 3055 | return float16_to_int64_scalbn(a, get_float_rounding_mode(s), 0, s); |
| 3056 | } |
| 3057 | |
| 3058 | int16_t float32_to_int16(float32 a, float_status *s) |
| 3059 | { |
| 3060 | return float32_to_int16_scalbn(a, get_float_rounding_mode(s), 0, s); |
| 3061 | } |
| 3062 | |
| 3063 | int32_t float32_to_int32(float32 a, float_status *s) |
| 3064 | { |
| 3065 | return float32_to_int32_scalbn(a, get_float_rounding_mode(s), 0, s); |
| 3066 | } |
| 3067 | |
| 3068 | int64_t float32_to_int64(float32 a, float_status *s) |
| 3069 | { |
| 3070 | return float32_to_int64_scalbn(a, get_float_rounding_mode(s), 0, s); |
| 3071 | } |
| 3072 | |
| 3073 | int16_t float64_to_int16(float64 a, float_status *s) |
| 3074 | { |
| 3075 | return float64_to_int16_scalbn(a, get_float_rounding_mode(s), 0, s); |
| 3076 | } |
| 3077 | |
| 3078 | int32_t float64_to_int32(float64 a, float_status *s) |
| 3079 | { |
| 3080 | return float64_to_int32_scalbn(a, get_float_rounding_mode(s), 0, s); |
| 3081 | } |
| 3082 | |
| 3083 | int64_t float64_to_int64(float64 a, float_status *s) |
| 3084 | { |
| 3085 | return float64_to_int64_scalbn(a, get_float_rounding_mode(s), 0, s); |
| 3086 | } |
| 3087 | |
| 3088 | int32_t float128_to_int32(float128 a, float_status *s) |
| 3089 | { |
| 3090 | return float128_to_int32_scalbn(a, get_float_rounding_mode(s), 0, s); |
| 3091 | } |
| 3092 | |
| 3093 | int64_t float128_to_int64(float128 a, float_status *s) |
| 3094 | { |
| 3095 | return float128_to_int64_scalbn(a, get_float_rounding_mode(s), 0, s); |
| 3096 | } |
| 3097 | |
| 3098 | Int128 float128_to_int128(float128 a, float_status *s) |
| 3099 | { |
| 3100 | return float128_to_int128_scalbn(a, get_float_rounding_mode(s), 0, s); |
| 3101 | } |
| 3102 | |
| 3103 | int32_t floatx80_to_int32(floatx80 a, float_status *s) |
| 3104 | { |
| 3105 | return floatx80_to_int32_scalbn(a, get_float_rounding_mode(s), 0, s); |
| 3106 | } |
| 3107 | |
| 3108 | int64_t floatx80_to_int64(floatx80 a, float_status *s) |
| 3109 | { |
| 3110 | return floatx80_to_int64_scalbn(a, get_float_rounding_mode(s), 0, s); |
| 3111 | } |
| 3112 | |
| 3113 | int16_t float16_to_int16_round_to_zero(float16 a, float_status *s) |
| 3114 | { |
| 3115 | return float16_to_int16_scalbn(a, float_round_to_zero, 0, s); |
| 3116 | } |
| 3117 | |
| 3118 | int32_t float16_to_int32_round_to_zero(float16 a, float_status *s) |
| 3119 | { |
| 3120 | return float16_to_int32_scalbn(a, float_round_to_zero, 0, s); |
| 3121 | } |
| 3122 | |
| 3123 | int64_t float16_to_int64_round_to_zero(float16 a, float_status *s) |
| 3124 | { |
| 3125 | return float16_to_int64_scalbn(a, float_round_to_zero, 0, s); |
| 3126 | } |
| 3127 | |
| 3128 | int16_t float32_to_int16_round_to_zero(float32 a, float_status *s) |
| 3129 | { |
| 3130 | return float32_to_int16_scalbn(a, float_round_to_zero, 0, s); |
| 3131 | } |
| 3132 | |
| 3133 | int32_t float32_to_int32_round_to_zero(float32 a, float_status *s) |
| 3134 | { |
| 3135 | return float32_to_int32_scalbn(a, float_round_to_zero, 0, s); |
| 3136 | } |
| 3137 | |
| 3138 | int64_t float32_to_int64_round_to_zero(float32 a, float_status *s) |
| 3139 | { |
| 3140 | return float32_to_int64_scalbn(a, float_round_to_zero, 0, s); |
| 3141 | } |
| 3142 | |
| 3143 | int16_t float64_to_int16_round_to_zero(float64 a, float_status *s) |
| 3144 | { |
| 3145 | return float64_to_int16_scalbn(a, float_round_to_zero, 0, s); |
| 3146 | } |
| 3147 | |
| 3148 | int32_t float64_to_int32_round_to_zero(float64 a, float_status *s) |
| 3149 | { |
| 3150 | return float64_to_int32_scalbn(a, float_round_to_zero, 0, s); |
| 3151 | } |
| 3152 | |
| 3153 | int64_t float64_to_int64_round_to_zero(float64 a, float_status *s) |
| 3154 | { |
| 3155 | return float64_to_int64_scalbn(a, float_round_to_zero, 0, s); |
| 3156 | } |
| 3157 | |
| 3158 | int32_t float128_to_int32_round_to_zero(float128 a, float_status *s) |
| 3159 | { |
| 3160 | return float128_to_int32_scalbn(a, float_round_to_zero, 0, s); |
| 3161 | } |
| 3162 | |
| 3163 | int64_t float128_to_int64_round_to_zero(float128 a, float_status *s) |
| 3164 | { |
| 3165 | return float128_to_int64_scalbn(a, float_round_to_zero, 0, s); |
| 3166 | } |
| 3167 | |
| 3168 | Int128 float128_to_int128_round_to_zero(float128 a, float_status *s) |
| 3169 | { |
| 3170 | return float128_to_int128_scalbn(a, float_round_to_zero, 0, s); |
| 3171 | } |
| 3172 | |
| 3173 | int32_t floatx80_to_int32_round_to_zero(floatx80 a, float_status *s) |
| 3174 | { |
| 3175 | return floatx80_to_int32_scalbn(a, float_round_to_zero, 0, s); |
| 3176 | } |
| 3177 | |
| 3178 | int64_t floatx80_to_int64_round_to_zero(floatx80 a, float_status *s) |
| 3179 | { |
| 3180 | return floatx80_to_int64_scalbn(a, float_round_to_zero, 0, s); |
| 3181 | } |
| 3182 | |
| 3183 | int8_t bfloat16_to_int8(bfloat16 a, float_status *s) |
| 3184 | { |
| 3185 | return bfloat16_to_int8_scalbn(a, get_float_rounding_mode(s), 0, s); |
| 3186 | } |
| 3187 | |
| 3188 | int16_t bfloat16_to_int16(bfloat16 a, float_status *s) |
| 3189 | { |
| 3190 | return bfloat16_to_int16_scalbn(a, get_float_rounding_mode(s), 0, s); |
| 3191 | } |
| 3192 | |
| 3193 | int32_t bfloat16_to_int32(bfloat16 a, float_status *s) |
| 3194 | { |
| 3195 | return bfloat16_to_int32_scalbn(a, get_float_rounding_mode(s), 0, s); |
| 3196 | } |
| 3197 | |
| 3198 | int64_t bfloat16_to_int64(bfloat16 a, float_status *s) |
| 3199 | { |
| 3200 | return bfloat16_to_int64_scalbn(a, get_float_rounding_mode(s), 0, s); |
| 3201 | } |
| 3202 | |
| 3203 | int8_t bfloat16_to_int8_round_to_zero(bfloat16 a, float_status *s) |
| 3204 | { |
| 3205 | return bfloat16_to_int8_scalbn(a, float_round_to_zero, 0, s); |
| 3206 | } |
| 3207 | |
| 3208 | int16_t bfloat16_to_int16_round_to_zero(bfloat16 a, float_status *s) |
| 3209 | { |
| 3210 | return bfloat16_to_int16_scalbn(a, float_round_to_zero, 0, s); |
| 3211 | } |
| 3212 | |
| 3213 | int32_t bfloat16_to_int32_round_to_zero(bfloat16 a, float_status *s) |
| 3214 | { |
| 3215 | return bfloat16_to_int32_scalbn(a, float_round_to_zero, 0, s); |
| 3216 | } |
| 3217 | |
| 3218 | int64_t bfloat16_to_int64_round_to_zero(bfloat16 a, float_status *s) |
| 3219 | { |
| 3220 | return bfloat16_to_int64_scalbn(a, float_round_to_zero, 0, s); |
| 3221 | } |
| 3222 | |
| 3223 | /* |
| 3224 | * Like partsN(float_to_sint), except do not saturate the result. |
| 3225 | * Instead, return the rounded unbounded precision two's compliment result, |
| 3226 | * modulo 2**(bitsm1 + 1). |
| 3227 | */ |
| 3228 | static int64_t parts64_float_to_sint_modulo(FloatParts64 *p, |
| 3229 | FloatRoundMode rmode, |
| 3230 | int bitsm1, float_status *s) |
| 3231 | { |
| 3232 | int flags = 0; |
| 3233 | uint64_t r; |
| 3234 | bool overflow = false; |
| 3235 | |
| 3236 | switch (p->cls) { |
| 3237 | case float_class_snan: |
| 3238 | flags |= float_flag_invalid_snan; |
| 3239 | /* fall through */ |
| 3240 | case float_class_qnan: |
| 3241 | flags |= float_flag_invalid; |
| 3242 | r = 0; |
| 3243 | break; |
| 3244 | |
| 3245 | case float_class_inf: |
| 3246 | overflow = true; |
| 3247 | r = 0; |
| 3248 | break; |
| 3249 | |
| 3250 | case float_class_zero: |
| 3251 | return 0; |
| 3252 | |
| 3253 | case float_class_normal: |
| 3254 | case float_class_denormal: |
| 3255 | /* TODO: 64 - 2 is frac_size for rounding; could use input fmt. */ |
| 3256 | if (parts64_round_to_int_normal(p, rmode, 0, 64 - 2)) { |
| 3257 | flags = float_flag_inexact; |
| 3258 | } |
| 3259 | |
| 3260 | if (p->exp <= DECOMPOSED_BINARY_POINT) { |
| 3261 | r = p->frac >> (DECOMPOSED_BINARY_POINT - p->exp); |
| 3262 | if (p->exp < bitsm1) { |
| 3263 | /* Result in range. */ |
| 3264 | } else if (p->exp == bitsm1) { |
| 3265 | /* The only in-range value is INT_MIN. */ |
| 3266 | overflow = !p->sign || p->frac != DECOMPOSED_IMPLICIT_BIT; |
| 3267 | } else { |
| 3268 | overflow = true; |
| 3269 | } |
| 3270 | } else { |
| 3271 | /* Overflow, but there might still be bits to return. */ |
| 3272 | int shl = p->exp - DECOMPOSED_BINARY_POINT; |
| 3273 | r = (shl < 64 ? p->frac << shl : 0); |
| 3274 | overflow = true; |
| 3275 | } |
| 3276 | |
| 3277 | if (p->sign) { |
| 3278 | r = -r; |
| 3279 | } |
| 3280 | break; |
| 3281 | |
| 3282 | default: |
| 3283 | g_assert_not_reached(); |
| 3284 | } |
| 3285 | |
| 3286 | if (overflow) { |
| 3287 | flags = float_flag_invalid | float_flag_invalid_cvti; |
| 3288 | } |
| 3289 | float_raise(flags, s); |
| 3290 | return r; |
| 3291 | } |
| 3292 | |
| 3293 | int32_t float64_to_int32_modulo(float64 a, FloatRoundMode rmode, |
| 3294 | float_status *s) |
| 3295 | { |
| 3296 | FloatParts64 p = float64_unpack_canonical(a, s); |
| 3297 | return parts64_float_to_sint_modulo(&p, rmode, 31, s); |
| 3298 | } |
| 3299 | |
| 3300 | int64_t float64_to_int64_modulo(float64 a, FloatRoundMode rmode, |
| 3301 | float_status *s) |
| 3302 | { |
| 3303 | FloatParts64 p = float64_unpack_canonical(a, s); |
| 3304 | return parts64_float_to_sint_modulo(&p, rmode, 63, s); |
| 3305 | } |
| 3306 | |
| 3307 | /* |
| 3308 | * Floating-point to unsigned integer conversions |
| 3309 | */ |
| 3310 | |
| 3311 | uint8_t float16_to_uint8_scalbn(float16 a, FloatRoundMode rmode, int scale, |
| 3312 | float_status *s) |
| 3313 | { |
| 3314 | FloatParts64 p = float16_unpack_canonical(a, s); |
| 3315 | return parts64_float_to_uint(&p, rmode, scale, UINT8_MAX, s); |
| 3316 | } |
| 3317 | |
| 3318 | uint16_t float16_to_uint16_scalbn(float16 a, FloatRoundMode rmode, int scale, |
| 3319 | float_status *s) |
| 3320 | { |
| 3321 | FloatParts64 p = float16_unpack_canonical(a, s); |
| 3322 | return parts64_float_to_uint(&p, rmode, scale, UINT16_MAX, s); |
| 3323 | } |
| 3324 | |
| 3325 | uint32_t float16_to_uint32_scalbn(float16 a, FloatRoundMode rmode, int scale, |
| 3326 | float_status *s) |
| 3327 | { |
| 3328 | FloatParts64 p = float16_unpack_canonical(a, s); |
| 3329 | return parts64_float_to_uint(&p, rmode, scale, UINT32_MAX, s); |
| 3330 | } |
| 3331 | |
| 3332 | uint64_t float16_to_uint64_scalbn(float16 a, FloatRoundMode rmode, int scale, |
| 3333 | float_status *s) |
| 3334 | { |
| 3335 | FloatParts64 p = float16_unpack_canonical(a, s); |
| 3336 | return parts64_float_to_uint(&p, rmode, scale, UINT64_MAX, s); |
| 3337 | } |
| 3338 | |
| 3339 | uint16_t float32_to_uint16_scalbn(float32 a, FloatRoundMode rmode, int scale, |
| 3340 | float_status *s) |
| 3341 | { |
| 3342 | FloatParts64 p = float32_unpack_canonical(a, s); |
| 3343 | return parts64_float_to_uint(&p, rmode, scale, UINT16_MAX, s); |
| 3344 | } |
| 3345 | |
| 3346 | uint32_t float32_to_uint32_scalbn(float32 a, FloatRoundMode rmode, int scale, |
| 3347 | float_status *s) |
| 3348 | { |
| 3349 | FloatParts64 p = float32_unpack_canonical(a, s); |
| 3350 | return parts64_float_to_uint(&p, rmode, scale, UINT32_MAX, s); |
| 3351 | } |
| 3352 | |
| 3353 | uint64_t float32_to_uint64_scalbn(float32 a, FloatRoundMode rmode, int scale, |
| 3354 | float_status *s) |
| 3355 | { |
| 3356 | FloatParts64 p = float32_unpack_canonical(a, s); |
| 3357 | return parts64_float_to_uint(&p, rmode, scale, UINT64_MAX, s); |
| 3358 | } |
| 3359 | |
| 3360 | uint16_t float64_to_uint16_scalbn(float64 a, FloatRoundMode rmode, int scale, |
| 3361 | float_status *s) |
| 3362 | { |
| 3363 | FloatParts64 p = float64_unpack_canonical(a, s); |
| 3364 | return parts64_float_to_uint(&p, rmode, scale, UINT16_MAX, s); |
| 3365 | } |
| 3366 | |
| 3367 | uint32_t float64_to_uint32_scalbn(float64 a, FloatRoundMode rmode, int scale, |
| 3368 | float_status *s) |
| 3369 | { |
| 3370 | FloatParts64 p = float64_unpack_canonical(a, s); |
| 3371 | return parts64_float_to_uint(&p, rmode, scale, UINT32_MAX, s); |
| 3372 | } |
| 3373 | |
| 3374 | uint64_t float64_to_uint64_scalbn(float64 a, FloatRoundMode rmode, int scale, |
| 3375 | float_status *s) |
| 3376 | { |
| 3377 | FloatParts64 p = float64_unpack_canonical(a, s); |
| 3378 | return parts64_float_to_uint(&p, rmode, scale, UINT64_MAX, s); |
| 3379 | } |
| 3380 | |
| 3381 | uint8_t bfloat16_to_uint8_scalbn(bfloat16 a, FloatRoundMode rmode, |
| 3382 | int scale, float_status *s) |
| 3383 | { |
| 3384 | FloatParts64 p = bfloat16_unpack_canonical(a, s); |
| 3385 | return parts64_float_to_uint(&p, rmode, scale, UINT8_MAX, s); |
| 3386 | } |
| 3387 | |
| 3388 | uint16_t bfloat16_to_uint16_scalbn(bfloat16 a, FloatRoundMode rmode, |
| 3389 | int scale, float_status *s) |
| 3390 | { |
| 3391 | FloatParts64 p = bfloat16_unpack_canonical(a, s); |
| 3392 | return parts64_float_to_uint(&p, rmode, scale, UINT16_MAX, s); |
| 3393 | } |
| 3394 | |
| 3395 | uint32_t bfloat16_to_uint32_scalbn(bfloat16 a, FloatRoundMode rmode, |
| 3396 | int scale, float_status *s) |
| 3397 | { |
| 3398 | FloatParts64 p = bfloat16_unpack_canonical(a, s); |
| 3399 | return parts64_float_to_uint(&p, rmode, scale, UINT32_MAX, s); |
| 3400 | } |
| 3401 | |
| 3402 | uint64_t bfloat16_to_uint64_scalbn(bfloat16 a, FloatRoundMode rmode, |
| 3403 | int scale, float_status *s) |
| 3404 | { |
| 3405 | FloatParts64 p = bfloat16_unpack_canonical(a, s); |
| 3406 | return parts64_float_to_uint(&p, rmode, scale, UINT64_MAX, s); |
| 3407 | } |
| 3408 | |
| 3409 | static uint32_t float128_to_uint32_scalbn(float128 a, FloatRoundMode rmode, |
| 3410 | int scale, float_status *s) |
| 3411 | { |
| 3412 | FloatParts128 p = float128_unpack_canonical(a, s); |
| 3413 | return parts128_float_to_uint(&p, rmode, scale, UINT32_MAX, s); |
| 3414 | } |
| 3415 | |
| 3416 | static uint64_t float128_to_uint64_scalbn(float128 a, FloatRoundMode rmode, |
| 3417 | int scale, float_status *s) |
| 3418 | { |
| 3419 | FloatParts128 p = float128_unpack_canonical(a, s); |
| 3420 | return parts128_float_to_uint(&p, rmode, scale, UINT64_MAX, s); |
| 3421 | } |
| 3422 | |
| 3423 | static Int128 float128_to_uint128_scalbn(float128 a, FloatRoundMode rmode, |
| 3424 | int scale, float_status *s) |
| 3425 | { |
| 3426 | int flags = 0; |
| 3427 | Int128 r; |
| 3428 | FloatParts128 p = float128_unpack_canonical(a, s); |
| 3429 | |
| 3430 | switch (p.cls) { |
| 3431 | case float_class_snan: |
| 3432 | flags |= float_flag_invalid_snan; |
| 3433 | /* fall through */ |
| 3434 | case float_class_qnan: |
| 3435 | flags |= float_flag_invalid; |
| 3436 | r = UINT128_MAX; |
| 3437 | break; |
| 3438 | |
| 3439 | case float_class_inf: |
| 3440 | flags = float_flag_invalid | float_flag_invalid_cvti; |
| 3441 | r = p.sign ? int128_zero() : UINT128_MAX; |
| 3442 | break; |
| 3443 | |
| 3444 | case float_class_zero: |
| 3445 | return int128_zero(); |
| 3446 | |
| 3447 | case float_class_normal: |
| 3448 | case float_class_denormal: |
| 3449 | if (parts128_round_to_int_normal(&p, rmode, scale, 128 - 2)) { |
| 3450 | flags = float_flag_inexact; |
| 3451 | if (p.cls == float_class_zero) { |
| 3452 | r = int128_zero(); |
| 3453 | break; |
| 3454 | } |
| 3455 | } |
| 3456 | |
| 3457 | if (p.sign) { |
| 3458 | flags = float_flag_invalid | float_flag_invalid_cvti; |
| 3459 | r = int128_zero(); |
| 3460 | } else if (p.exp <= 127) { |
| 3461 | int shift = 127 - p.exp; |
| 3462 | r = int128_urshift(int128_make128(p.frac_lo, p.frac_hi), shift); |
| 3463 | } else { |
| 3464 | flags = float_flag_invalid | float_flag_invalid_cvti; |
| 3465 | r = UINT128_MAX; |
| 3466 | } |
| 3467 | break; |
| 3468 | |
| 3469 | default: |
| 3470 | g_assert_not_reached(); |
| 3471 | } |
| 3472 | |
| 3473 | float_raise(flags, s); |
| 3474 | return r; |
| 3475 | } |
| 3476 | |
| 3477 | uint8_t float16_to_uint8(float16 a, float_status *s) |
| 3478 | { |
| 3479 | return float16_to_uint8_scalbn(a, get_float_rounding_mode(s), 0, s); |
| 3480 | } |
| 3481 | |
| 3482 | uint16_t float16_to_uint16(float16 a, float_status *s) |
| 3483 | { |
| 3484 | return float16_to_uint16_scalbn(a, get_float_rounding_mode(s), 0, s); |
| 3485 | } |
| 3486 | |
| 3487 | uint32_t float16_to_uint32(float16 a, float_status *s) |
| 3488 | { |
| 3489 | return float16_to_uint32_scalbn(a, get_float_rounding_mode(s), 0, s); |
| 3490 | } |
| 3491 | |
| 3492 | uint64_t float16_to_uint64(float16 a, float_status *s) |
| 3493 | { |
| 3494 | return float16_to_uint64_scalbn(a, get_float_rounding_mode(s), 0, s); |
| 3495 | } |
| 3496 | |
| 3497 | uint16_t float32_to_uint16(float32 a, float_status *s) |
| 3498 | { |
| 3499 | return float32_to_uint16_scalbn(a, get_float_rounding_mode(s), 0, s); |
| 3500 | } |
| 3501 | |
| 3502 | uint32_t float32_to_uint32(float32 a, float_status *s) |
| 3503 | { |
| 3504 | return float32_to_uint32_scalbn(a, get_float_rounding_mode(s), 0, s); |
| 3505 | } |
| 3506 | |
| 3507 | uint64_t float32_to_uint64(float32 a, float_status *s) |
| 3508 | { |
| 3509 | return float32_to_uint64_scalbn(a, get_float_rounding_mode(s), 0, s); |
| 3510 | } |
| 3511 | |
| 3512 | uint16_t float64_to_uint16(float64 a, float_status *s) |
| 3513 | { |
| 3514 | return float64_to_uint16_scalbn(a, get_float_rounding_mode(s), 0, s); |
| 3515 | } |
| 3516 | |
| 3517 | uint32_t float64_to_uint32(float64 a, float_status *s) |
| 3518 | { |
| 3519 | return float64_to_uint32_scalbn(a, get_float_rounding_mode(s), 0, s); |
| 3520 | } |
| 3521 | |
| 3522 | uint64_t float64_to_uint64(float64 a, float_status *s) |
| 3523 | { |
| 3524 | return float64_to_uint64_scalbn(a, get_float_rounding_mode(s), 0, s); |
| 3525 | } |
| 3526 | |
| 3527 | uint32_t float128_to_uint32(float128 a, float_status *s) |
| 3528 | { |
| 3529 | return float128_to_uint32_scalbn(a, get_float_rounding_mode(s), 0, s); |
| 3530 | } |
| 3531 | |
| 3532 | uint64_t float128_to_uint64(float128 a, float_status *s) |
| 3533 | { |
| 3534 | return float128_to_uint64_scalbn(a, get_float_rounding_mode(s), 0, s); |
| 3535 | } |
| 3536 | |
| 3537 | Int128 float128_to_uint128(float128 a, float_status *s) |
| 3538 | { |
| 3539 | return float128_to_uint128_scalbn(a, get_float_rounding_mode(s), 0, s); |
| 3540 | } |
| 3541 | |
| 3542 | uint16_t float16_to_uint16_round_to_zero(float16 a, float_status *s) |
| 3543 | { |
| 3544 | return float16_to_uint16_scalbn(a, float_round_to_zero, 0, s); |
| 3545 | } |
| 3546 | |
| 3547 | uint32_t float16_to_uint32_round_to_zero(float16 a, float_status *s) |
| 3548 | { |
| 3549 | return float16_to_uint32_scalbn(a, float_round_to_zero, 0, s); |
| 3550 | } |
| 3551 | |
| 3552 | uint64_t float16_to_uint64_round_to_zero(float16 a, float_status *s) |
| 3553 | { |
| 3554 | return float16_to_uint64_scalbn(a, float_round_to_zero, 0, s); |
| 3555 | } |
| 3556 | |
| 3557 | uint16_t float32_to_uint16_round_to_zero(float32 a, float_status *s) |
| 3558 | { |
| 3559 | return float32_to_uint16_scalbn(a, float_round_to_zero, 0, s); |
| 3560 | } |
| 3561 | |
| 3562 | uint32_t float32_to_uint32_round_to_zero(float32 a, float_status *s) |
| 3563 | { |
| 3564 | return float32_to_uint32_scalbn(a, float_round_to_zero, 0, s); |
| 3565 | } |
| 3566 | |
| 3567 | uint64_t float32_to_uint64_round_to_zero(float32 a, float_status *s) |
| 3568 | { |
| 3569 | return float32_to_uint64_scalbn(a, float_round_to_zero, 0, s); |
| 3570 | } |
| 3571 | |
| 3572 | uint16_t float64_to_uint16_round_to_zero(float64 a, float_status *s) |
| 3573 | { |
| 3574 | return float64_to_uint16_scalbn(a, float_round_to_zero, 0, s); |
| 3575 | } |
| 3576 | |
| 3577 | uint32_t float64_to_uint32_round_to_zero(float64 a, float_status *s) |
| 3578 | { |
| 3579 | return float64_to_uint32_scalbn(a, float_round_to_zero, 0, s); |
| 3580 | } |
| 3581 | |
| 3582 | uint64_t float64_to_uint64_round_to_zero(float64 a, float_status *s) |
| 3583 | { |
| 3584 | return float64_to_uint64_scalbn(a, float_round_to_zero, 0, s); |
| 3585 | } |
| 3586 | |
| 3587 | uint32_t float128_to_uint32_round_to_zero(float128 a, float_status *s) |
| 3588 | { |
| 3589 | return float128_to_uint32_scalbn(a, float_round_to_zero, 0, s); |
| 3590 | } |
| 3591 | |
| 3592 | uint64_t float128_to_uint64_round_to_zero(float128 a, float_status *s) |
| 3593 | { |
| 3594 | return float128_to_uint64_scalbn(a, float_round_to_zero, 0, s); |
| 3595 | } |
| 3596 | |
| 3597 | Int128 float128_to_uint128_round_to_zero(float128 a, float_status *s) |
| 3598 | { |
| 3599 | return float128_to_uint128_scalbn(a, float_round_to_zero, 0, s); |
| 3600 | } |
| 3601 | |
| 3602 | uint8_t bfloat16_to_uint8(bfloat16 a, float_status *s) |
| 3603 | { |
| 3604 | return bfloat16_to_uint8_scalbn(a, get_float_rounding_mode(s), 0, s); |
| 3605 | } |
| 3606 | |
| 3607 | uint16_t bfloat16_to_uint16(bfloat16 a, float_status *s) |
| 3608 | { |
| 3609 | return bfloat16_to_uint16_scalbn(a, get_float_rounding_mode(s), 0, s); |
| 3610 | } |
| 3611 | |
| 3612 | uint32_t bfloat16_to_uint32(bfloat16 a, float_status *s) |
| 3613 | { |
| 3614 | return bfloat16_to_uint32_scalbn(a, get_float_rounding_mode(s), 0, s); |
| 3615 | } |
| 3616 | |
| 3617 | uint64_t bfloat16_to_uint64(bfloat16 a, float_status *s) |
| 3618 | { |
| 3619 | return bfloat16_to_uint64_scalbn(a, get_float_rounding_mode(s), 0, s); |
| 3620 | } |
| 3621 | |
| 3622 | uint8_t bfloat16_to_uint8_round_to_zero(bfloat16 a, float_status *s) |
| 3623 | { |
| 3624 | return bfloat16_to_uint8_scalbn(a, float_round_to_zero, 0, s); |
| 3625 | } |
| 3626 | |
| 3627 | uint16_t bfloat16_to_uint16_round_to_zero(bfloat16 a, float_status *s) |
| 3628 | { |
| 3629 | return bfloat16_to_uint16_scalbn(a, float_round_to_zero, 0, s); |
| 3630 | } |
| 3631 | |
| 3632 | uint32_t bfloat16_to_uint32_round_to_zero(bfloat16 a, float_status *s) |
| 3633 | { |
| 3634 | return bfloat16_to_uint32_scalbn(a, float_round_to_zero, 0, s); |
| 3635 | } |
| 3636 | |
| 3637 | uint64_t bfloat16_to_uint64_round_to_zero(bfloat16 a, float_status *s) |
| 3638 | { |
| 3639 | return bfloat16_to_uint64_scalbn(a, float_round_to_zero, 0, s); |
| 3640 | } |
| 3641 | |
| 3642 | /* |
| 3643 | * Signed integer to floating-point conversions |
| 3644 | */ |
| 3645 | |
| 3646 | float16 int64_to_float16_scalbn(int64_t a, int scale, float_status *status) |
| 3647 | { |
| 3648 | FloatParts64 p; |
| 3649 | |
| 3650 | parts64_sint_to_float(&p, a, scale, status); |
| 3651 | return float16_round_pack_canonical(&p, status); |
| 3652 | } |
| 3653 | |
| 3654 | float16 int32_to_float16_scalbn(int32_t a, int scale, float_status *status) |
| 3655 | { |
| 3656 | return int64_to_float16_scalbn(a, scale, status); |
| 3657 | } |
| 3658 | |
| 3659 | float16 int16_to_float16_scalbn(int16_t a, int scale, float_status *status) |
| 3660 | { |
| 3661 | return int64_to_float16_scalbn(a, scale, status); |
| 3662 | } |
| 3663 | |
| 3664 | float16 int64_to_float16(int64_t a, float_status *status) |
| 3665 | { |
| 3666 | return int64_to_float16_scalbn(a, 0, status); |
| 3667 | } |
| 3668 | |
| 3669 | float16 int32_to_float16(int32_t a, float_status *status) |
| 3670 | { |
| 3671 | return int64_to_float16_scalbn(a, 0, status); |
| 3672 | } |
| 3673 | |
| 3674 | float16 int16_to_float16(int16_t a, float_status *status) |
| 3675 | { |
| 3676 | return int64_to_float16_scalbn(a, 0, status); |
| 3677 | } |
| 3678 | |
| 3679 | float16 int8_to_float16(int8_t a, float_status *status) |
| 3680 | { |
| 3681 | return int64_to_float16_scalbn(a, 0, status); |
| 3682 | } |
| 3683 | |
| 3684 | float32 int64_to_float32_scalbn(int64_t a, int scale, float_status *status) |
| 3685 | { |
| 3686 | FloatParts64 p; |
| 3687 | |
| 3688 | /* Without scaling, there are no overflow concerns. */ |
| 3689 | if (likely(scale == 0) && can_use_fpu(status)) { |
| 3690 | union_float32 ur; |
| 3691 | ur.h = a; |
| 3692 | return ur.s; |
| 3693 | } |
| 3694 | |
| 3695 | parts64_sint_to_float(&p, a, scale, status); |
| 3696 | return float32_round_pack_canonical(&p, status); |
| 3697 | } |
| 3698 | |
| 3699 | float32 int32_to_float32_scalbn(int32_t a, int scale, float_status *status) |
| 3700 | { |
| 3701 | return int64_to_float32_scalbn(a, scale, status); |
| 3702 | } |
| 3703 | |
| 3704 | float32 int16_to_float32_scalbn(int16_t a, int scale, float_status *status) |
| 3705 | { |
| 3706 | return int64_to_float32_scalbn(a, scale, status); |
| 3707 | } |
| 3708 | |
| 3709 | float32 int64_to_float32(int64_t a, float_status *status) |
| 3710 | { |
| 3711 | return int64_to_float32_scalbn(a, 0, status); |
| 3712 | } |
| 3713 | |
| 3714 | float32 int32_to_float32(int32_t a, float_status *status) |
| 3715 | { |
| 3716 | return int64_to_float32_scalbn(a, 0, status); |
| 3717 | } |
| 3718 | |
| 3719 | float32 int16_to_float32(int16_t a, float_status *status) |
| 3720 | { |
| 3721 | return int64_to_float32_scalbn(a, 0, status); |
| 3722 | } |
| 3723 | |
| 3724 | float64 int64_to_float64_scalbn(int64_t a, int scale, float_status *status) |
| 3725 | { |
| 3726 | FloatParts64 p; |
| 3727 | |
| 3728 | /* Without scaling, there are no overflow concerns. */ |
| 3729 | if (likely(scale == 0) && can_use_fpu(status)) { |
| 3730 | union_float64 ur; |
| 3731 | ur.h = a; |
| 3732 | return ur.s; |
| 3733 | } |
| 3734 | |
| 3735 | parts64_sint_to_float(&p, a, scale, status); |
| 3736 | return float64_round_pack_canonical(&p, status); |
| 3737 | } |
| 3738 | |
| 3739 | float64 int32_to_float64_scalbn(int32_t a, int scale, float_status *status) |
| 3740 | { |
| 3741 | return int64_to_float64_scalbn(a, scale, status); |
| 3742 | } |
| 3743 | |
| 3744 | float64 int16_to_float64_scalbn(int16_t a, int scale, float_status *status) |
| 3745 | { |
| 3746 | return int64_to_float64_scalbn(a, scale, status); |
| 3747 | } |
| 3748 | |
| 3749 | float64 int64_to_float64(int64_t a, float_status *status) |
| 3750 | { |
| 3751 | return int64_to_float64_scalbn(a, 0, status); |
| 3752 | } |
| 3753 | |
| 3754 | float64 int32_to_float64(int32_t a, float_status *status) |
| 3755 | { |
| 3756 | return int64_to_float64_scalbn(a, 0, status); |
| 3757 | } |
| 3758 | |
| 3759 | float64 int16_to_float64(int16_t a, float_status *status) |
| 3760 | { |
| 3761 | return int64_to_float64_scalbn(a, 0, status); |
| 3762 | } |
| 3763 | |
| 3764 | bfloat16 int64_to_bfloat16_scalbn(int64_t a, int scale, float_status *status) |
| 3765 | { |
| 3766 | FloatParts64 p; |
| 3767 | |
| 3768 | parts64_sint_to_float(&p, a, scale, status); |
| 3769 | return bfloat16_round_pack_canonical(&p, status); |
| 3770 | } |
| 3771 | |
| 3772 | bfloat16 int32_to_bfloat16_scalbn(int32_t a, int scale, float_status *status) |
| 3773 | { |
| 3774 | return int64_to_bfloat16_scalbn(a, scale, status); |
| 3775 | } |
| 3776 | |
| 3777 | bfloat16 int16_to_bfloat16_scalbn(int16_t a, int scale, float_status *status) |
| 3778 | { |
| 3779 | return int64_to_bfloat16_scalbn(a, scale, status); |
| 3780 | } |
| 3781 | |
| 3782 | bfloat16 int8_to_bfloat16_scalbn(int8_t a, int scale, float_status *status) |
| 3783 | { |
| 3784 | return int64_to_bfloat16_scalbn(a, scale, status); |
| 3785 | } |
| 3786 | |
| 3787 | bfloat16 int64_to_bfloat16(int64_t a, float_status *status) |
| 3788 | { |
| 3789 | return int64_to_bfloat16_scalbn(a, 0, status); |
| 3790 | } |
| 3791 | |
| 3792 | bfloat16 int32_to_bfloat16(int32_t a, float_status *status) |
| 3793 | { |
| 3794 | return int64_to_bfloat16_scalbn(a, 0, status); |
| 3795 | } |
| 3796 | |
| 3797 | bfloat16 int16_to_bfloat16(int16_t a, float_status *status) |
| 3798 | { |
| 3799 | return int64_to_bfloat16_scalbn(a, 0, status); |
| 3800 | } |
| 3801 | |
| 3802 | bfloat16 int8_to_bfloat16(int8_t a, float_status *status) |
| 3803 | { |
| 3804 | return int64_to_bfloat16_scalbn(a, 0, status); |
| 3805 | } |
| 3806 | |
| 3807 | float128 int128_to_float128(Int128 a, float_status *status) |
| 3808 | { |
| 3809 | FloatParts128 p = { }; |
| 3810 | int shift; |
| 3811 | |
| 3812 | if (int128_nz(a)) { |
| 3813 | p.cls = float_class_normal; |
| 3814 | if (!int128_nonneg(a)) { |
| 3815 | p.sign = true; |
| 3816 | a = int128_neg(a); |
| 3817 | } |
| 3818 | |
| 3819 | shift = clz64(int128_gethi(a)); |
| 3820 | if (shift == 64) { |
| 3821 | shift += clz64(int128_getlo(a)); |
| 3822 | } |
| 3823 | |
| 3824 | p.exp = 127 - shift; |
| 3825 | a = int128_lshift(a, shift); |
| 3826 | |
| 3827 | p.frac_hi = int128_gethi(a); |
| 3828 | p.frac_lo = int128_getlo(a); |
| 3829 | } else { |
| 3830 | p.cls = float_class_zero; |
| 3831 | } |
| 3832 | |
| 3833 | return float128_round_pack_canonical(&p, status); |
| 3834 | } |
| 3835 | |
| 3836 | float128 int64_to_float128(int64_t a, float_status *status) |
| 3837 | { |
| 3838 | FloatParts128 p; |
| 3839 | |
| 3840 | parts128_sint_to_float(&p, a, 0, status); |
| 3841 | return float128_round_pack_canonical(&p, status); |
| 3842 | } |
| 3843 | |
| 3844 | float128 int32_to_float128(int32_t a, float_status *status) |
| 3845 | { |
| 3846 | return int64_to_float128(a, status); |
| 3847 | } |
| 3848 | |
| 3849 | floatx80 int64_to_floatx80(int64_t a, float_status *status) |
| 3850 | { |
| 3851 | FloatParts128 p; |
| 3852 | |
| 3853 | parts128_sint_to_float(&p, a, 0, status); |
| 3854 | return floatx80_round_pack_canonical(&p, status); |
| 3855 | } |
| 3856 | |
| 3857 | floatx80 int32_to_floatx80(int32_t a, float_status *status) |
| 3858 | { |
| 3859 | return int64_to_floatx80(a, status); |
| 3860 | } |
| 3861 | |
| 3862 | /* |
| 3863 | * Unsigned Integer to floating-point conversions |
| 3864 | */ |
| 3865 | |
| 3866 | float16 uint64_to_float16_scalbn(uint64_t a, int scale, float_status *status) |
| 3867 | { |
| 3868 | FloatParts64 p; |
| 3869 | |
| 3870 | parts64_uint_to_float(&p, a, scale, status); |
| 3871 | return float16_round_pack_canonical(&p, status); |
| 3872 | } |
| 3873 | |
| 3874 | float16 uint32_to_float16_scalbn(uint32_t a, int scale, float_status *status) |
| 3875 | { |
| 3876 | return uint64_to_float16_scalbn(a, scale, status); |
| 3877 | } |
| 3878 | |
| 3879 | float16 uint16_to_float16_scalbn(uint16_t a, int scale, float_status *status) |
| 3880 | { |
| 3881 | return uint64_to_float16_scalbn(a, scale, status); |
| 3882 | } |
| 3883 | |
| 3884 | float16 uint64_to_float16(uint64_t a, float_status *status) |
| 3885 | { |
| 3886 | return uint64_to_float16_scalbn(a, 0, status); |
| 3887 | } |
| 3888 | |
| 3889 | float16 uint32_to_float16(uint32_t a, float_status *status) |
| 3890 | { |
| 3891 | return uint64_to_float16_scalbn(a, 0, status); |
| 3892 | } |
| 3893 | |
| 3894 | float16 uint16_to_float16(uint16_t a, float_status *status) |
| 3895 | { |
| 3896 | return uint64_to_float16_scalbn(a, 0, status); |
| 3897 | } |
| 3898 | |
| 3899 | float16 uint8_to_float16(uint8_t a, float_status *status) |
| 3900 | { |
| 3901 | return uint64_to_float16_scalbn(a, 0, status); |
| 3902 | } |
| 3903 | |
| 3904 | float32 uint64_to_float32_scalbn(uint64_t a, int scale, float_status *status) |
| 3905 | { |
| 3906 | FloatParts64 p; |
| 3907 | |
| 3908 | /* Without scaling, there are no overflow concerns. */ |
| 3909 | if (likely(scale == 0) && can_use_fpu(status)) { |
| 3910 | union_float32 ur; |
| 3911 | ur.h = a; |
| 3912 | return ur.s; |
| 3913 | } |
| 3914 | |
| 3915 | parts64_uint_to_float(&p, a, scale, status); |
| 3916 | return float32_round_pack_canonical(&p, status); |
| 3917 | } |
| 3918 | |
| 3919 | float32 uint32_to_float32_scalbn(uint32_t a, int scale, float_status *status) |
| 3920 | { |
| 3921 | return uint64_to_float32_scalbn(a, scale, status); |
| 3922 | } |
| 3923 | |
| 3924 | float32 uint16_to_float32_scalbn(uint16_t a, int scale, float_status *status) |
| 3925 | { |
| 3926 | return uint64_to_float32_scalbn(a, scale, status); |
| 3927 | } |
| 3928 | |
| 3929 | float32 uint64_to_float32(uint64_t a, float_status *status) |
| 3930 | { |
| 3931 | return uint64_to_float32_scalbn(a, 0, status); |
| 3932 | } |
| 3933 | |
| 3934 | float32 uint32_to_float32(uint32_t a, float_status *status) |
| 3935 | { |
| 3936 | return uint64_to_float32_scalbn(a, 0, status); |
| 3937 | } |
| 3938 | |
| 3939 | float32 uint16_to_float32(uint16_t a, float_status *status) |
| 3940 | { |
| 3941 | return uint64_to_float32_scalbn(a, 0, status); |
| 3942 | } |
| 3943 | |
| 3944 | float64 uint64_to_float64_scalbn(uint64_t a, int scale, float_status *status) |
| 3945 | { |
| 3946 | FloatParts64 p; |
| 3947 | |
| 3948 | /* Without scaling, there are no overflow concerns. */ |
| 3949 | if (likely(scale == 0) && can_use_fpu(status)) { |
| 3950 | union_float64 ur; |
| 3951 | ur.h = a; |
| 3952 | return ur.s; |
| 3953 | } |
| 3954 | |
| 3955 | parts64_uint_to_float(&p, a, scale, status); |
| 3956 | return float64_round_pack_canonical(&p, status); |
| 3957 | } |
| 3958 | |
| 3959 | float64 uint32_to_float64_scalbn(uint32_t a, int scale, float_status *status) |
| 3960 | { |
| 3961 | return uint64_to_float64_scalbn(a, scale, status); |
| 3962 | } |
| 3963 | |
| 3964 | float64 uint16_to_float64_scalbn(uint16_t a, int scale, float_status *status) |
| 3965 | { |
| 3966 | return uint64_to_float64_scalbn(a, scale, status); |
| 3967 | } |
| 3968 | |
| 3969 | float64 uint64_to_float64(uint64_t a, float_status *status) |
| 3970 | { |
| 3971 | return uint64_to_float64_scalbn(a, 0, status); |
| 3972 | } |
| 3973 | |
| 3974 | float64 uint32_to_float64(uint32_t a, float_status *status) |
| 3975 | { |
| 3976 | return uint64_to_float64_scalbn(a, 0, status); |
| 3977 | } |
| 3978 | |
| 3979 | float64 uint16_to_float64(uint16_t a, float_status *status) |
| 3980 | { |
| 3981 | return uint64_to_float64_scalbn(a, 0, status); |
| 3982 | } |
| 3983 | |
| 3984 | bfloat16 uint64_to_bfloat16_scalbn(uint64_t a, int scale, float_status *status) |
| 3985 | { |
| 3986 | FloatParts64 p; |
| 3987 | |
| 3988 | parts64_uint_to_float(&p, a, scale, status); |
| 3989 | return bfloat16_round_pack_canonical(&p, status); |
| 3990 | } |
| 3991 | |
| 3992 | bfloat16 uint32_to_bfloat16_scalbn(uint32_t a, int scale, float_status *status) |
| 3993 | { |
| 3994 | return uint64_to_bfloat16_scalbn(a, scale, status); |
| 3995 | } |
| 3996 | |
| 3997 | bfloat16 uint16_to_bfloat16_scalbn(uint16_t a, int scale, float_status *status) |
| 3998 | { |
| 3999 | return uint64_to_bfloat16_scalbn(a, scale, status); |
| 4000 | } |
| 4001 | |
| 4002 | bfloat16 uint8_to_bfloat16_scalbn(uint8_t a, int scale, float_status *status) |
| 4003 | { |
| 4004 | return uint64_to_bfloat16_scalbn(a, scale, status); |
| 4005 | } |
| 4006 | |
| 4007 | bfloat16 uint64_to_bfloat16(uint64_t a, float_status *status) |
| 4008 | { |
| 4009 | return uint64_to_bfloat16_scalbn(a, 0, status); |
| 4010 | } |
| 4011 | |
| 4012 | bfloat16 uint32_to_bfloat16(uint32_t a, float_status *status) |
| 4013 | { |
| 4014 | return uint64_to_bfloat16_scalbn(a, 0, status); |
| 4015 | } |
| 4016 | |
| 4017 | bfloat16 uint16_to_bfloat16(uint16_t a, float_status *status) |
| 4018 | { |
| 4019 | return uint64_to_bfloat16_scalbn(a, 0, status); |
| 4020 | } |
| 4021 | |
| 4022 | bfloat16 uint8_to_bfloat16(uint8_t a, float_status *status) |
| 4023 | { |
| 4024 | return uint64_to_bfloat16_scalbn(a, 0, status); |
| 4025 | } |
| 4026 | |
| 4027 | float128 uint64_to_float128(uint64_t a, float_status *status) |
| 4028 | { |
| 4029 | FloatParts128 p; |
| 4030 | |
| 4031 | parts128_uint_to_float(&p, a, 0, status); |
| 4032 | return float128_round_pack_canonical(&p, status); |
| 4033 | } |
| 4034 | |
| 4035 | float128 uint128_to_float128(Int128 a, float_status *status) |
| 4036 | { |
| 4037 | FloatParts128 p = { }; |
| 4038 | int shift; |
| 4039 | |
| 4040 | if (int128_nz(a)) { |
| 4041 | p.cls = float_class_normal; |
| 4042 | |
| 4043 | shift = clz64(int128_gethi(a)); |
| 4044 | if (shift == 64) { |
| 4045 | shift += clz64(int128_getlo(a)); |
| 4046 | } |
| 4047 | |
| 4048 | p.exp = 127 - shift; |
| 4049 | a = int128_lshift(a, shift); |
| 4050 | |
| 4051 | p.frac_hi = int128_gethi(a); |
| 4052 | p.frac_lo = int128_getlo(a); |
| 4053 | } else { |
| 4054 | p.cls = float_class_zero; |
| 4055 | } |
| 4056 | |
| 4057 | return float128_round_pack_canonical(&p, status); |
| 4058 | } |
| 4059 | |
| 4060 | /* |
| 4061 | * Minimum and maximum |
| 4062 | */ |
| 4063 | |
| 4064 | float16 float16_minmax(float16 a, float16 b, float_status *s, int flags) |
| 4065 | { |
| 4066 | FloatParts64 pa = float16_unpack_canonical(a, s); |
| 4067 | FloatParts64 pb = float16_unpack_canonical(b, s); |
| 4068 | FloatParts64 *pr = parts64_minmax(&pa, &pb, s, flags); |
| 4069 | |
| 4070 | return float16_round_pack_canonical(pr, s); |
| 4071 | } |
| 4072 | |
| 4073 | bfloat16 bfloat16_minmax(bfloat16 a, bfloat16 b, float_status *s, int flags) |
| 4074 | { |
| 4075 | FloatParts64 pa = bfloat16_unpack_canonical(a, s); |
| 4076 | FloatParts64 pb = bfloat16_unpack_canonical(b, s); |
| 4077 | FloatParts64 *pr = parts64_minmax(&pa, &pb, s, flags); |
| 4078 | |
| 4079 | return bfloat16_round_pack_canonical(pr, s); |
| 4080 | } |
| 4081 | |
| 4082 | float32 float32_minmax(float32 a, float32 b, float_status *s, int flags) |
| 4083 | { |
| 4084 | FloatParts64 pa = float32_unpack_canonical(a, s); |
| 4085 | FloatParts64 pb = float32_unpack_canonical(b, s); |
| 4086 | FloatParts64 *pr = parts64_minmax(&pa, &pb, s, flags); |
| 4087 | |
| 4088 | return float32_round_pack_canonical(pr, s); |
| 4089 | } |
| 4090 | |
| 4091 | float64 float64_minmax(float64 a, float64 b, float_status *s, int flags) |
| 4092 | { |
| 4093 | FloatParts64 pa = float64_unpack_canonical(a, s); |
| 4094 | FloatParts64 pb = float64_unpack_canonical(b, s); |
| 4095 | FloatParts64 *pr = parts64_minmax(&pa, &pb, s, flags); |
| 4096 | |
| 4097 | return float64_round_pack_canonical(pr, s); |
| 4098 | } |
| 4099 | |
| 4100 | float128 float128_minmax(float128 a, float128 b, float_status *s, int flags) |
| 4101 | { |
| 4102 | FloatParts128 pa = float128_unpack_canonical(a, s); |
| 4103 | FloatParts128 pb = float128_unpack_canonical(b, s); |
| 4104 | FloatParts128 *pr = parts128_minmax(&pa, &pb, s, flags); |
| 4105 | |
| 4106 | return float128_round_pack_canonical(pr, s); |
| 4107 | } |
| 4108 | |
| 4109 | /* |
| 4110 | * Floating point compare |
| 4111 | */ |
| 4112 | |
| 4113 | static FloatRelation QEMU_FLATTEN |
| 4114 | float16_do_compare(float16 a, float16 b, float_status *s, bool is_quiet) |
| 4115 | { |
| 4116 | FloatParts64 pa = float16_unpack_canonical(a, s); |
| 4117 | FloatParts64 pb = float16_unpack_canonical(b, s); |
| 4118 | |
| 4119 | return parts64_compare(&pa, &pb, s, is_quiet); |
| 4120 | } |
| 4121 | |
| 4122 | FloatRelation float16_compare(float16 a, float16 b, float_status *s) |
| 4123 | { |
| 4124 | return float16_do_compare(a, b, s, false); |
| 4125 | } |
| 4126 | |
| 4127 | FloatRelation float16_compare_quiet(float16 a, float16 b, float_status *s) |
| 4128 | { |
| 4129 | return float16_do_compare(a, b, s, true); |
| 4130 | } |
| 4131 | |
| 4132 | static FloatRelation QEMU_SOFTFLOAT_ATTR |
| 4133 | float32_do_compare(float32 a, float32 b, float_status *s, bool is_quiet) |
| 4134 | { |
| 4135 | FloatParts64 pa = float32_unpack_canonical(a, s); |
| 4136 | FloatParts64 pb = float32_unpack_canonical(b, s); |
| 4137 | |
| 4138 | return parts64_compare(&pa, &pb, s, is_quiet); |
| 4139 | } |
| 4140 | |
| 4141 | static FloatRelation QEMU_FLATTEN |
| 4142 | float32_hs_compare(float32 xa, float32 xb, float_status *s, bool is_quiet) |
| 4143 | { |
| 4144 | union_float32 ua, ub; |
| 4145 | |
| 4146 | ua.s = xa; |
| 4147 | ub.s = xb; |
| 4148 | |
| 4149 | if (QEMU_NO_HARDFLOAT) { |
| 4150 | goto soft; |
| 4151 | } |
| 4152 | |
| 4153 | if (unlikely(float32_is_denormal(ua.s) || float32_is_denormal(ub.s))) { |
| 4154 | /* We may need to set the input_denormal_used flag */ |
| 4155 | goto soft; |
| 4156 | } |
| 4157 | |
| 4158 | if (isgreaterequal(ua.h, ub.h)) { |
| 4159 | if (isgreater(ua.h, ub.h)) { |
| 4160 | return float_relation_greater; |
| 4161 | } |
| 4162 | return float_relation_equal; |
| 4163 | } |
| 4164 | if (likely(isless(ua.h, ub.h))) { |
| 4165 | return float_relation_less; |
| 4166 | } |
| 4167 | /* |
| 4168 | * The only condition remaining is unordered. |
| 4169 | * Fall through to set flags. |
| 4170 | */ |
| 4171 | soft: |
| 4172 | return float32_do_compare(ua.s, ub.s, s, is_quiet); |
| 4173 | } |
| 4174 | |
| 4175 | FloatRelation float32_compare(float32 a, float32 b, float_status *s) |
| 4176 | { |
| 4177 | return float32_hs_compare(a, b, s, false); |
| 4178 | } |
| 4179 | |
| 4180 | FloatRelation float32_compare_quiet(float32 a, float32 b, float_status *s) |
| 4181 | { |
| 4182 | return float32_hs_compare(a, b, s, true); |
| 4183 | } |
| 4184 | |
| 4185 | static FloatRelation QEMU_SOFTFLOAT_ATTR |
| 4186 | float64_do_compare(float64 a, float64 b, float_status *s, bool is_quiet) |
| 4187 | { |
| 4188 | FloatParts64 pa = float64_unpack_canonical(a, s); |
| 4189 | FloatParts64 pb = float64_unpack_canonical(b, s); |
| 4190 | |
| 4191 | return parts64_compare(&pa, &pb, s, is_quiet); |
| 4192 | } |
| 4193 | |
| 4194 | static FloatRelation QEMU_FLATTEN |
| 4195 | float64_hs_compare(float64 xa, float64 xb, float_status *s, bool is_quiet) |
| 4196 | { |
| 4197 | union_float64 ua, ub; |
| 4198 | |
| 4199 | ua.s = xa; |
| 4200 | ub.s = xb; |
| 4201 | |
| 4202 | if (QEMU_NO_HARDFLOAT) { |
| 4203 | goto soft; |
| 4204 | } |
| 4205 | |
| 4206 | if (unlikely(float64_is_denormal(ua.s) || float64_is_denormal(ub.s))) { |
| 4207 | /* We may need to set the input_denormal_used flag */ |
| 4208 | goto soft; |
| 4209 | } |
| 4210 | |
| 4211 | if (isgreaterequal(ua.h, ub.h)) { |
| 4212 | if (isgreater(ua.h, ub.h)) { |
| 4213 | return float_relation_greater; |
| 4214 | } |
| 4215 | return float_relation_equal; |
| 4216 | } |
| 4217 | if (likely(isless(ua.h, ub.h))) { |
| 4218 | return float_relation_less; |
| 4219 | } |
| 4220 | /* |
| 4221 | * The only condition remaining is unordered. |
| 4222 | * Fall through to set flags. |
| 4223 | */ |
| 4224 | soft: |
| 4225 | return float64_do_compare(ua.s, ub.s, s, is_quiet); |
| 4226 | } |
| 4227 | |
| 4228 | FloatRelation float64_compare(float64 a, float64 b, float_status *s) |
| 4229 | { |
| 4230 | return float64_hs_compare(a, b, s, false); |
| 4231 | } |
| 4232 | |
| 4233 | FloatRelation float64_compare_quiet(float64 a, float64 b, float_status *s) |
| 4234 | { |
| 4235 | return float64_hs_compare(a, b, s, true); |
| 4236 | } |
| 4237 | |
| 4238 | static FloatRelation QEMU_FLATTEN |
| 4239 | bfloat16_do_compare(bfloat16 a, bfloat16 b, float_status *s, bool is_quiet) |
| 4240 | { |
| 4241 | FloatParts64 pa = bfloat16_unpack_canonical(a, s); |
| 4242 | FloatParts64 pb = bfloat16_unpack_canonical(b, s); |
| 4243 | |
| 4244 | return parts64_compare(&pa, &pb, s, is_quiet); |
| 4245 | } |
| 4246 | |
| 4247 | FloatRelation bfloat16_compare(bfloat16 a, bfloat16 b, float_status *s) |
| 4248 | { |
| 4249 | return bfloat16_do_compare(a, b, s, false); |
| 4250 | } |
| 4251 | |
| 4252 | FloatRelation bfloat16_compare_quiet(bfloat16 a, bfloat16 b, float_status *s) |
| 4253 | { |
| 4254 | return bfloat16_do_compare(a, b, s, true); |
| 4255 | } |
| 4256 | |
| 4257 | static FloatRelation QEMU_FLATTEN |
| 4258 | float128_do_compare(float128 a, float128 b, float_status *s, bool is_quiet) |
| 4259 | { |
| 4260 | FloatParts128 pa = float128_unpack_canonical(a, s); |
| 4261 | FloatParts128 pb = float128_unpack_canonical(b, s); |
| 4262 | |
| 4263 | return parts128_compare(&pa, &pb, s, is_quiet); |
| 4264 | } |
| 4265 | |
| 4266 | FloatRelation float128_compare(float128 a, float128 b, float_status *s) |
| 4267 | { |
| 4268 | return float128_do_compare(a, b, s, false); |
| 4269 | } |
| 4270 | |
| 4271 | FloatRelation float128_compare_quiet(float128 a, float128 b, float_status *s) |
| 4272 | { |
| 4273 | return float128_do_compare(a, b, s, true); |
| 4274 | } |
| 4275 | |
| 4276 | static FloatRelation QEMU_FLATTEN |
| 4277 | floatx80_do_compare(floatx80 a, floatx80 b, float_status *s, bool is_quiet) |
| 4278 | { |
| 4279 | FloatParts128 pa, pb; |
| 4280 | |
| 4281 | if (!floatx80_unpack_canonical(&pa, a, s) || |
| 4282 | !floatx80_unpack_canonical(&pb, b, s)) { |
| 4283 | return float_relation_unordered; |
| 4284 | } |
| 4285 | return parts128_compare(&pa, &pb, s, is_quiet); |
| 4286 | } |
| 4287 | |
| 4288 | FloatRelation floatx80_compare(floatx80 a, floatx80 b, float_status *s) |
| 4289 | { |
| 4290 | return floatx80_do_compare(a, b, s, false); |
| 4291 | } |
| 4292 | |
| 4293 | FloatRelation floatx80_compare_quiet(floatx80 a, floatx80 b, float_status *s) |
| 4294 | { |
| 4295 | return floatx80_do_compare(a, b, s, true); |
| 4296 | } |
| 4297 | |
| 4298 | /* |
| 4299 | * Scale by 2**N |
| 4300 | */ |
| 4301 | |
| 4302 | float16 float16_scalbn(float16 a, int n, float_status *status) |
| 4303 | { |
| 4304 | FloatParts64 p = float16_unpack_canonical(a, status); |
| 4305 | |
| 4306 | p = parts64_scalbn(&p, n, status); |
| 4307 | return float16_round_pack_canonical(&p, status); |
| 4308 | } |
| 4309 | |
| 4310 | float32 float32_scalbn(float32 a, int n, float_status *status) |
| 4311 | { |
| 4312 | FloatParts64 p = float32_unpack_canonical(a, status); |
| 4313 | |
| 4314 | p = parts64_scalbn(&p, n, status); |
| 4315 | return float32_round_pack_canonical(&p, status); |
| 4316 | } |
| 4317 | |
| 4318 | float64 float64_scalbn(float64 a, int n, float_status *status) |
| 4319 | { |
| 4320 | FloatParts64 p = float64_unpack_canonical(a, status); |
| 4321 | |
| 4322 | p = parts64_scalbn(&p, n, status); |
| 4323 | return float64_round_pack_canonical(&p, status); |
| 4324 | } |
| 4325 | |
| 4326 | bfloat16 bfloat16_scalbn(bfloat16 a, int n, float_status *status) |
| 4327 | { |
| 4328 | FloatParts64 p = bfloat16_unpack_canonical(a, status); |
| 4329 | |
| 4330 | p = parts64_scalbn(&p, n, status); |
| 4331 | return bfloat16_round_pack_canonical(&p, status); |
| 4332 | } |
| 4333 | |
| 4334 | float128 float128_scalbn(float128 a, int n, float_status *status) |
| 4335 | { |
| 4336 | FloatParts128 p = float128_unpack_canonical(a, status); |
| 4337 | |
| 4338 | p = parts128_scalbn(&p, n, status); |
| 4339 | return float128_round_pack_canonical(&p, status); |
| 4340 | } |
| 4341 | |
| 4342 | floatx80 floatx80_scalbn(floatx80 a, int n, float_status *status) |
| 4343 | { |
| 4344 | FloatParts128 p; |
| 4345 | |
| 4346 | if (!floatx80_unpack_canonical(&p, a, status)) { |
| 4347 | return floatx80_default_nan(status); |
| 4348 | } |
| 4349 | p = parts128_scalbn(&p, n, status); |
| 4350 | return floatx80_round_pack_canonical(&p, status); |
| 4351 | } |
| 4352 | |
| 4353 | /* |
| 4354 | * Square Root |
| 4355 | */ |
| 4356 | |
| 4357 | float16 QEMU_FLATTEN float16_sqrt(float16 a, float_status *status) |
| 4358 | { |
| 4359 | FloatParts64 p = float16_unpack_canonical(a, status); |
| 4360 | |
| 4361 | parts64_sqrt(&p, status, &float16_params); |
| 4362 | return float16_round_pack_canonical(&p, status); |
| 4363 | } |
| 4364 | |
| 4365 | static float32 QEMU_SOFTFLOAT_ATTR |
| 4366 | soft_f32_sqrt(float32 a, float_status *status) |
| 4367 | { |
| 4368 | FloatParts64 p = float32_unpack_canonical(a, status); |
| 4369 | |
| 4370 | parts64_sqrt(&p, status, &float32_params); |
| 4371 | return float32_round_pack_canonical(&p, status); |
| 4372 | } |
| 4373 | |
| 4374 | static float64 QEMU_SOFTFLOAT_ATTR |
| 4375 | soft_f64_sqrt(float64 a, float_status *status) |
| 4376 | { |
| 4377 | FloatParts64 p = float64_unpack_canonical(a, status); |
| 4378 | |
| 4379 | parts64_sqrt(&p, status, &float64_params); |
| 4380 | return float64_round_pack_canonical(&p, status); |
| 4381 | } |
| 4382 | |
| 4383 | float32 QEMU_FLATTEN float32_sqrt(float32 xa, float_status *s) |
| 4384 | { |
| 4385 | union_float32 ua, ur; |
| 4386 | |
| 4387 | ua.s = xa; |
| 4388 | if (unlikely(!can_use_fpu(s))) { |
| 4389 | goto soft; |
| 4390 | } |
| 4391 | |
| 4392 | float32_input_flush1(&ua.s, s); |
| 4393 | if (QEMU_HARDFLOAT_1F32_USE_FP) { |
| 4394 | if (unlikely(!(fpclassify(ua.h) == FP_NORMAL || |
| 4395 | fpclassify(ua.h) == FP_ZERO) || |
| 4396 | signbit(ua.h))) { |
| 4397 | goto soft; |
| 4398 | } |
| 4399 | } else if (unlikely(!float32_is_zero_or_normal(ua.s) || |
| 4400 | float32_is_neg(ua.s))) { |
| 4401 | goto soft; |
| 4402 | } |
| 4403 | ur.h = sqrtf(ua.h); |
| 4404 | return ur.s; |
| 4405 | |
| 4406 | soft: |
| 4407 | return soft_f32_sqrt(ua.s, s); |
| 4408 | } |
| 4409 | |
| 4410 | float64 QEMU_FLATTEN float64_sqrt(float64 xa, float_status *s) |
| 4411 | { |
| 4412 | union_float64 ua, ur; |
| 4413 | |
| 4414 | ua.s = xa; |
| 4415 | if (unlikely(!can_use_fpu(s))) { |
| 4416 | goto soft; |
| 4417 | } |
| 4418 | |
| 4419 | float64_input_flush1(&ua.s, s); |
| 4420 | if (QEMU_HARDFLOAT_1F64_USE_FP) { |
| 4421 | if (unlikely(!(fpclassify(ua.h) == FP_NORMAL || |
| 4422 | fpclassify(ua.h) == FP_ZERO) || |
| 4423 | signbit(ua.h))) { |
| 4424 | goto soft; |
| 4425 | } |
| 4426 | } else if (unlikely(!float64_is_zero_or_normal(ua.s) || |
| 4427 | float64_is_neg(ua.s))) { |
| 4428 | goto soft; |
| 4429 | } |
| 4430 | ur.h = sqrt(ua.h); |
| 4431 | return ur.s; |
| 4432 | |
| 4433 | soft: |
| 4434 | return soft_f64_sqrt(ua.s, s); |
| 4435 | } |
| 4436 | |
| 4437 | float64 float64r32_sqrt(float64 a, float_status *status) |
| 4438 | { |
| 4439 | FloatParts64 p = float64_unpack_canonical(a, status); |
| 4440 | |
| 4441 | parts64_sqrt(&p, status, &float64_params); |
| 4442 | return float64r32_round_pack_canonical(&p, status); |
| 4443 | } |
| 4444 | |
| 4445 | bfloat16 QEMU_FLATTEN bfloat16_sqrt(bfloat16 a, float_status *status) |
| 4446 | { |
| 4447 | FloatParts64 p = bfloat16_unpack_canonical(a, status); |
| 4448 | |
| 4449 | parts64_sqrt(&p, status, &bfloat16_params); |
| 4450 | return bfloat16_round_pack_canonical(&p, status); |
| 4451 | } |
| 4452 | |
| 4453 | float128 QEMU_FLATTEN float128_sqrt(float128 a, float_status *status) |
| 4454 | { |
| 4455 | FloatParts128 p = float128_unpack_canonical(a, status); |
| 4456 | |
| 4457 | parts128_sqrt(&p, status, &float128_params); |
| 4458 | return float128_round_pack_canonical(&p, status); |
| 4459 | } |
| 4460 | |
| 4461 | floatx80 floatx80_sqrt(floatx80 a, float_status *s) |
| 4462 | { |
| 4463 | FloatParts128 p; |
| 4464 | |
| 4465 | if (!floatx80_unpack_canonical(&p, a, s)) { |
| 4466 | return floatx80_default_nan(s); |
| 4467 | } |
| 4468 | parts128_sqrt(&p, s, &floatx80_params[get_floatx80_rounding_precision(s)]); |
| 4469 | return floatx80_round_pack_canonical(&p, s); |
| 4470 | } |
| 4471 | |
| 4472 | /* |
| 4473 | * log2 |
| 4474 | */ |
| 4475 | |
| 4476 | static void parts64_log2(FloatParts64 *a, float_status *s, const FloatFmt *fmt) |
| 4477 | { |
| 4478 | uint64_t a0, a1, r, t, ign; |
| 4479 | int i, n, a_exp, f_exp; |
| 4480 | |
| 4481 | if (unlikely(a->cls != float_class_normal)) { |
| 4482 | switch (a->cls) { |
| 4483 | case float_class_denormal: |
| 4484 | if (!a->sign) { |
| 4485 | /* -ve denormal will be InvalidOperation */ |
| 4486 | float_raise(float_flag_input_denormal_used, s); |
| 4487 | } |
| 4488 | break; |
| 4489 | case float_class_snan: |
| 4490 | case float_class_qnan: |
| 4491 | *a = parts64_return_nan(a, s); |
| 4492 | return; |
| 4493 | case float_class_zero: |
| 4494 | float_raise(float_flag_divbyzero, s); |
| 4495 | /* log2(0) = -inf */ |
| 4496 | a->cls = float_class_inf; |
| 4497 | a->sign = 1; |
| 4498 | return; |
| 4499 | case float_class_inf: |
| 4500 | if (unlikely(a->sign)) { |
| 4501 | goto d_nan; |
| 4502 | } |
| 4503 | return; |
| 4504 | default: |
| 4505 | g_assert_not_reached(); |
| 4506 | } |
| 4507 | } |
| 4508 | if (unlikely(a->sign)) { |
| 4509 | goto d_nan; |
| 4510 | } |
| 4511 | |
| 4512 | a_exp = a->exp; |
| 4513 | f_exp = -1; |
| 4514 | |
| 4515 | r = 0; |
| 4516 | t = DECOMPOSED_IMPLICIT_BIT; |
| 4517 | a0 = a->frac_hi; |
| 4518 | a1 = 0; |
| 4519 | |
| 4520 | n = fmt->frac_size + 2; |
| 4521 | if (unlikely(a_exp == -1)) { |
| 4522 | /* |
| 4523 | * When a_exp == -1, we're computing the log2 of a value [0.5,1.0). |
| 4524 | * When the value is very close to 1.0, there are lots of 1's in |
| 4525 | * the msb parts of the fraction. At the end, when we subtract |
| 4526 | * this value from -1.0, we can see a catastrophic loss of precision, |
| 4527 | * as 0x800..000 - 0x7ff..ffx becomes 0x000..00y, leaving only the |
| 4528 | * bits of y in the final result. To minimize this, compute as many |
| 4529 | * digits as we can. |
| 4530 | * ??? This case needs another algorithm to avoid this. |
| 4531 | */ |
| 4532 | n = fmt->frac_size * 2 + 2; |
| 4533 | /* Don't compute a value overlapping the sticky bit */ |
| 4534 | n = MIN(n, 62); |
| 4535 | } |
| 4536 | |
| 4537 | for (i = 0; i < n; i++) { |
| 4538 | if (a1) { |
| 4539 | mul128To256(a0, a1, a0, a1, &a0, &a1, &ign, &ign); |
| 4540 | } else if (a0 & 0xffffffffull) { |
| 4541 | mul64To128(a0, a0, &a0, &a1); |
| 4542 | } else if (a0 & ~DECOMPOSED_IMPLICIT_BIT) { |
| 4543 | a0 >>= 32; |
| 4544 | a0 *= a0; |
| 4545 | } else { |
| 4546 | goto exact; |
| 4547 | } |
| 4548 | |
| 4549 | if (a0 & DECOMPOSED_IMPLICIT_BIT) { |
| 4550 | if (unlikely(a_exp == 0 && r == 0)) { |
| 4551 | /* |
| 4552 | * When a_exp == 0, we're computing the log2 of a value |
| 4553 | * [1.0,2.0). When the value is very close to 1.0, there |
| 4554 | * are lots of 0's in the msb parts of the fraction. |
| 4555 | * We need to compute more digits to produce a correct |
| 4556 | * result -- restart at the top of the fraction. |
| 4557 | * ??? This is likely to lose precision quickly, as for |
| 4558 | * float128; we may need another method. |
| 4559 | */ |
| 4560 | f_exp -= i; |
| 4561 | t = r = DECOMPOSED_IMPLICIT_BIT; |
| 4562 | i = 0; |
| 4563 | } else { |
| 4564 | r |= t; |
| 4565 | } |
| 4566 | } else { |
| 4567 | add128(a0, a1, a0, a1, &a0, &a1); |
| 4568 | } |
| 4569 | t >>= 1; |
| 4570 | } |
| 4571 | |
| 4572 | /* Set sticky for inexact. */ |
| 4573 | r |= (a1 || a0 & ~DECOMPOSED_IMPLICIT_BIT); |
| 4574 | |
| 4575 | exact: |
| 4576 | parts64_sint_to_float(a, a_exp, 0, s); |
| 4577 | if (r != 0) { |
| 4578 | FloatParts64 f = { |
| 4579 | .cls = float_class_normal, .frac = r |
| 4580 | }; |
| 4581 | f.exp = f_exp - frac64_normalize(&f); |
| 4582 | |
| 4583 | if (a_exp < 0) { |
| 4584 | parts64_sub_normal(a, &f); |
| 4585 | } else if (a_exp > 0) { |
| 4586 | parts64_add_normal(a, &f); |
| 4587 | } else { |
| 4588 | *a = f; |
| 4589 | } |
| 4590 | } |
| 4591 | return; |
| 4592 | |
| 4593 | d_nan: |
| 4594 | float_raise(float_flag_invalid, s); |
| 4595 | *a = parts64_default_nan(s); |
| 4596 | } |
| 4597 | |
| 4598 | float32 float32_log2(float32 a, float_status *status) |
| 4599 | { |
| 4600 | FloatParts64 p = float32_unpack_canonical(a, status); |
| 4601 | |
| 4602 | parts64_log2(&p, status, &float32_params); |
| 4603 | return float32_round_pack_canonical(&p, status); |
| 4604 | } |
| 4605 | |
| 4606 | float64 float64_log2(float64 a, float_status *status) |
| 4607 | { |
| 4608 | FloatParts64 p = float64_unpack_canonical(a, status); |
| 4609 | |
| 4610 | parts64_log2(&p, status, &float64_params); |
| 4611 | return float64_round_pack_canonical(&p, status); |
| 4612 | } |
| 4613 | |
| 4614 | /*---------------------------------------------------------------------------- |
| 4615 | | The pattern for a default generated NaN. |
| 4616 | *----------------------------------------------------------------------------*/ |
| 4617 | |
| 4618 | float16 float16_default_nan(float_status *status) |
| 4619 | { |
| 4620 | FloatParts64 p = parts64_default_nan(status); |
| 4621 | |
| 4622 | p.frac >>= float16_params.frac_shift; |
| 4623 | return pack_raw64(&p, &float16_params); |
| 4624 | } |
| 4625 | |
| 4626 | float32 float32_default_nan(float_status *status) |
| 4627 | { |
| 4628 | FloatParts64 p = parts64_default_nan(status); |
| 4629 | |
| 4630 | p.frac >>= float32_params.frac_shift; |
| 4631 | return pack_raw64(&p, &float32_params); |
| 4632 | } |
| 4633 | |
| 4634 | float64 float64_default_nan(float_status *status) |
| 4635 | { |
| 4636 | FloatParts64 p = parts64_default_nan(status); |
| 4637 | |
| 4638 | p.frac >>= float64_params.frac_shift; |
| 4639 | return pack_raw64(&p, &float64_params); |
| 4640 | } |
| 4641 | |
| 4642 | float128 float128_default_nan(float_status *status) |
| 4643 | { |
| 4644 | FloatParts128 p = parts128_default_nan(status); |
| 4645 | |
| 4646 | frac128_shr(&p, float128_params.frac_shift); |
| 4647 | return float128_pack_raw(&p); |
| 4648 | } |
| 4649 | |
| 4650 | bfloat16 bfloat16_default_nan(float_status *status) |
| 4651 | { |
| 4652 | FloatParts64 p = parts64_default_nan(status); |
| 4653 | |
| 4654 | p.frac >>= bfloat16_params.frac_shift; |
| 4655 | return pack_raw64(&p, &bfloat16_params); |
| 4656 | } |
| 4657 | |
| 4658 | /*---------------------------------------------------------------------------- |
| 4659 | | Returns a quiet NaN from a signalling NaN for the floating point value `a'. |
| 4660 | *----------------------------------------------------------------------------*/ |
| 4661 | |
| 4662 | float16 float16_silence_nan(float16 a, float_status *status) |
| 4663 | { |
| 4664 | FloatParts64 p = unpack_raw64(&float16_params, a); |
| 4665 | |
| 4666 | p.frac <<= float16_params.frac_shift; |
| 4667 | p = parts64_silence_nan(&p, status); |
| 4668 | p.frac >>= float16_params.frac_shift; |
| 4669 | return pack_raw64(&p, &float16_params); |
| 4670 | } |
| 4671 | |
| 4672 | float32 float32_silence_nan(float32 a, float_status *status) |
| 4673 | { |
| 4674 | FloatParts64 p = unpack_raw64(&float32_params, a); |
| 4675 | |
| 4676 | p.frac <<= float32_params.frac_shift; |
| 4677 | p = parts64_silence_nan(&p, status); |
| 4678 | p.frac >>= float32_params.frac_shift; |
| 4679 | return pack_raw64(&p, &float32_params); |
| 4680 | } |
| 4681 | |
| 4682 | float64 float64_silence_nan(float64 a, float_status *status) |
| 4683 | { |
| 4684 | FloatParts64 p = unpack_raw64(&float64_params, a); |
| 4685 | |
| 4686 | p.frac <<= float64_params.frac_shift; |
| 4687 | p = parts64_silence_nan(&p, status); |
| 4688 | p.frac >>= float64_params.frac_shift; |
| 4689 | return pack_raw64(&p, &float64_params); |
| 4690 | } |
| 4691 | |
| 4692 | bfloat16 bfloat16_silence_nan(bfloat16 a, float_status *status) |
| 4693 | { |
| 4694 | FloatParts64 p = unpack_raw64(&bfloat16_params, a); |
| 4695 | |
| 4696 | p.frac <<= bfloat16_params.frac_shift; |
| 4697 | p = parts64_silence_nan(&p, status); |
| 4698 | p.frac >>= bfloat16_params.frac_shift; |
| 4699 | return pack_raw64(&p, &bfloat16_params); |
| 4700 | } |
| 4701 | |
| 4702 | float128 float128_silence_nan(float128 a, float_status *status) |
| 4703 | { |
| 4704 | FloatParts128 p = float128_unpack_raw(a); |
| 4705 | |
| 4706 | frac128_shl(&p, float128_params.frac_shift); |
| 4707 | p = parts128_silence_nan(&p, status); |
| 4708 | frac128_shr(&p, float128_params.frac_shift); |
| 4709 | return float128_pack_raw(&p); |
| 4710 | } |
| 4711 | |
| 4712 | /*---------------------------------------------------------------------------- |
| 4713 | | If `a' is denormal and we are in flush-to-zero mode then set the |
| 4714 | | input-denormal exception and return zero. Otherwise just return the value. |
| 4715 | *----------------------------------------------------------------------------*/ |
| 4716 | |
| 4717 | static bool parts_squash_denormal(FloatParts64 p, float_status *status) |
| 4718 | { |
| 4719 | if (p.exp == 0 && p.frac != 0) { |
| 4720 | float_raise(float_flag_input_denormal_flushed, status); |
| 4721 | return true; |
| 4722 | } |
| 4723 | |
| 4724 | return false; |
| 4725 | } |
| 4726 | |
| 4727 | float16 float16_squash_input_denormal(float16 a, float_status *status) |
| 4728 | { |
| 4729 | if (get_flush_inputs_to_zero(status)) { |
| 4730 | FloatParts64 p = unpack_raw64(&float16_params, a); |
| 4731 | |
| 4732 | if (parts_squash_denormal(p, status)) { |
| 4733 | return float16_set_sign(float16_zero, p.sign); |
| 4734 | } |
| 4735 | } |
| 4736 | return a; |
| 4737 | } |
| 4738 | |
| 4739 | float32 float32_squash_input_denormal(float32 a, float_status *status) |
| 4740 | { |
| 4741 | if (get_flush_inputs_to_zero(status)) { |
| 4742 | FloatParts64 p = unpack_raw64(&float32_params, a); |
| 4743 | |
| 4744 | if (parts_squash_denormal(p, status)) { |
| 4745 | return float32_set_sign(float32_zero, p.sign); |
| 4746 | } |
| 4747 | } |
| 4748 | return a; |
| 4749 | } |
| 4750 | |
| 4751 | float64 float64_squash_input_denormal(float64 a, float_status *status) |
| 4752 | { |
| 4753 | if (get_flush_inputs_to_zero(status)) { |
| 4754 | FloatParts64 p = unpack_raw64(&float64_params, a); |
| 4755 | |
| 4756 | if (parts_squash_denormal(p, status)) { |
| 4757 | return float64_set_sign(float64_zero, p.sign); |
| 4758 | } |
| 4759 | } |
| 4760 | return a; |
| 4761 | } |
| 4762 | |
| 4763 | bfloat16 bfloat16_squash_input_denormal(bfloat16 a, float_status *status) |
| 4764 | { |
| 4765 | if (get_flush_inputs_to_zero(status)) { |
| 4766 | FloatParts64 p = unpack_raw64(&bfloat16_params, a); |
| 4767 | |
| 4768 | if (parts_squash_denormal(p, status)) { |
| 4769 | return bfloat16_set_sign(bfloat16_zero, p.sign); |
| 4770 | } |
| 4771 | } |
| 4772 | return a; |
| 4773 | } |
| 4774 | |
| 4775 | /*---------------------------------------------------------------------------- |
| 4776 | | Normalizes the subnormal extended double-precision floating-point value |
| 4777 | | represented by the denormalized significand `aSig'. The normalized exponent |
| 4778 | | and significand are stored at the locations pointed to by `zExpPtr' and |
| 4779 | | `zSigPtr', respectively. |
| 4780 | *----------------------------------------------------------------------------*/ |
| 4781 | |
| 4782 | void normalizeFloatx80Subnormal(uint64_t aSig, int32_t *zExpPtr, |
| 4783 | uint64_t *zSigPtr) |
| 4784 | { |
| 4785 | int8_t shiftCount; |
| 4786 | |
| 4787 | shiftCount = clz64(aSig); |
| 4788 | *zSigPtr = aSig<<shiftCount; |
| 4789 | *zExpPtr = 1 - shiftCount; |
| 4790 | } |
| 4791 | |
| 4792 | /*---------------------------------------------------------------------------- |
| 4793 | | Takes two extended double-precision floating-point values `a' and `b', one |
| 4794 | | of which is a NaN, and returns the appropriate NaN result. If either `a' or |
| 4795 | | `b' is a signaling NaN, the invalid exception is raised. |
| 4796 | *----------------------------------------------------------------------------*/ |
| 4797 | |
| 4798 | floatx80 propagateFloatx80NaN(floatx80 a, floatx80 b, float_status *status) |
| 4799 | { |
| 4800 | FloatParts128 pa, pb; |
| 4801 | |
| 4802 | if (!floatx80_unpack_canonical(&pa, a, status) || |
| 4803 | !floatx80_unpack_canonical(&pb, b, status)) { |
| 4804 | return floatx80_default_nan(status); |
| 4805 | } |
| 4806 | |
| 4807 | pa = parts128_pick_nan(&pa, &pb, status); |
| 4808 | return floatx80_round_pack_canonical(&pa, status); |
| 4809 | } |
| 4810 | |
| 4811 | /*---------------------------------------------------------------------------- |
| 4812 | | Takes an abstract floating-point value having sign `zSign', exponent `zExp', |
| 4813 | | and extended significand formed by the concatenation of `zSig0' and `zSig1', |
| 4814 | | and returns the proper extended double-precision floating-point value |
| 4815 | | corresponding to the abstract input. Ordinarily, the abstract value is |
| 4816 | | rounded and packed into the extended double-precision format, with the |
| 4817 | | inexact exception raised if the abstract input cannot be represented |
| 4818 | | exactly. However, if the abstract value is too large, the overflow and |
| 4819 | | inexact exceptions are raised and an infinity or maximal finite value is |
| 4820 | | returned. If the abstract value is too small, the input value is rounded to |
| 4821 | | a subnormal number, and the underflow and inexact exceptions are raised if |
| 4822 | | the abstract input cannot be represented exactly as a subnormal extended |
| 4823 | | double-precision floating-point number. |
| 4824 | | If `roundingPrecision' is floatx80_precision_s or floatx80_precision_d, |
| 4825 | | the result is rounded to the same number of bits as single or double |
| 4826 | | precision, respectively. Otherwise, the result is rounded to the full |
| 4827 | | precision of the extended double-precision format. |
| 4828 | | The input significand must be normalized or smaller. If the input |
| 4829 | | significand is not normalized, `zExp' must be 0; in that case, the result |
| 4830 | | returned is a subnormal number, and it must not require rounding. The |
| 4831 | | handling of underflow and overflow follows the IEC/IEEE Standard for Binary |
| 4832 | | Floating-Point Arithmetic. |
| 4833 | *----------------------------------------------------------------------------*/ |
| 4834 | |
| 4835 | floatx80 roundAndPackFloatx80(FloatX80RoundPrec roundingPrecision, bool zSign, |
| 4836 | int32_t zExp, uint64_t zSig0, uint64_t zSig1, |
| 4837 | float_status *status) |
| 4838 | { |
| 4839 | FloatRoundMode roundingMode; |
| 4840 | bool roundNearestEven, increment, isTiny; |
| 4841 | int64_t roundIncrement, roundMask, roundBits; |
| 4842 | |
| 4843 | roundingMode = get_float_rounding_mode(status); |
| 4844 | roundNearestEven = ( roundingMode == float_round_nearest_even ); |
| 4845 | switch (roundingPrecision) { |
| 4846 | case floatx80_precision_x: |
| 4847 | goto precision80; |
| 4848 | case floatx80_precision_d: |
| 4849 | roundIncrement = UINT64_C(0x0000000000000400); |
| 4850 | roundMask = UINT64_C(0x00000000000007FF); |
| 4851 | break; |
| 4852 | case floatx80_precision_s: |
| 4853 | roundIncrement = UINT64_C(0x0000008000000000); |
| 4854 | roundMask = UINT64_C(0x000000FFFFFFFFFF); |
| 4855 | break; |
| 4856 | default: |
| 4857 | g_assert_not_reached(); |
| 4858 | } |
| 4859 | zSig0 |= ( zSig1 != 0 ); |
| 4860 | switch (roundingMode) { |
| 4861 | case float_round_nearest_even: |
| 4862 | case float_round_ties_away: |
| 4863 | break; |
| 4864 | case float_round_to_zero: |
| 4865 | roundIncrement = 0; |
| 4866 | break; |
| 4867 | case float_round_up: |
| 4868 | roundIncrement = zSign ? 0 : roundMask; |
| 4869 | break; |
| 4870 | case float_round_down: |
| 4871 | roundIncrement = zSign ? roundMask : 0; |
| 4872 | break; |
| 4873 | default: |
| 4874 | abort(); |
| 4875 | } |
| 4876 | roundBits = zSig0 & roundMask; |
| 4877 | if ( 0x7FFD <= (uint32_t) ( zExp - 1 ) ) { |
| 4878 | if ( ( 0x7FFE < zExp ) |
| 4879 | || ( ( zExp == 0x7FFE ) && ( zSig0 + roundIncrement < zSig0 ) ) |
| 4880 | ) { |
| 4881 | goto overflow; |
| 4882 | } |
| 4883 | if ( zExp <= 0 ) { |
| 4884 | if (get_flush_to_zero(status)) { |
| 4885 | float_raise(float_flag_output_denormal_flushed, status); |
| 4886 | return packFloatx80(zSign, 0, 0); |
| 4887 | } |
| 4888 | isTiny = get_tininess_before_rounding(status) |
| 4889 | || (zExp < 0 ) |
| 4890 | || (zSig0 <= zSig0 + roundIncrement); |
| 4891 | shift64RightJamming( zSig0, 1 - zExp, &zSig0 ); |
| 4892 | zExp = 0; |
| 4893 | roundBits = zSig0 & roundMask; |
| 4894 | if (isTiny && roundBits) { |
| 4895 | float_raise(float_flag_underflow, status); |
| 4896 | } |
| 4897 | if (roundBits) { |
| 4898 | float_raise(float_flag_inexact, status); |
| 4899 | } |
| 4900 | zSig0 += roundIncrement; |
| 4901 | if ( (int64_t) zSig0 < 0 ) zExp = 1; |
| 4902 | roundIncrement = roundMask + 1; |
| 4903 | if ( roundNearestEven && ( roundBits<<1 == roundIncrement ) ) { |
| 4904 | roundMask |= roundIncrement; |
| 4905 | } |
| 4906 | zSig0 &= ~ roundMask; |
| 4907 | return packFloatx80( zSign, zExp, zSig0 ); |
| 4908 | } |
| 4909 | } |
| 4910 | if (roundBits) { |
| 4911 | float_raise(float_flag_inexact, status); |
| 4912 | } |
| 4913 | zSig0 += roundIncrement; |
| 4914 | if ( zSig0 < roundIncrement ) { |
| 4915 | ++zExp; |
| 4916 | zSig0 = UINT64_C(0x8000000000000000); |
| 4917 | } |
| 4918 | roundIncrement = roundMask + 1; |
| 4919 | if ( roundNearestEven && ( roundBits<<1 == roundIncrement ) ) { |
| 4920 | roundMask |= roundIncrement; |
| 4921 | } |
| 4922 | zSig0 &= ~ roundMask; |
| 4923 | if ( zSig0 == 0 ) zExp = 0; |
| 4924 | return packFloatx80( zSign, zExp, zSig0 ); |
| 4925 | precision80: |
| 4926 | switch (roundingMode) { |
| 4927 | case float_round_nearest_even: |
| 4928 | case float_round_ties_away: |
| 4929 | increment = ((int64_t)zSig1 < 0); |
| 4930 | break; |
| 4931 | case float_round_to_zero: |
| 4932 | increment = 0; |
| 4933 | break; |
| 4934 | case float_round_up: |
| 4935 | increment = !zSign && zSig1; |
| 4936 | break; |
| 4937 | case float_round_down: |
| 4938 | increment = zSign && zSig1; |
| 4939 | break; |
| 4940 | default: |
| 4941 | abort(); |
| 4942 | } |
| 4943 | if ( 0x7FFD <= (uint32_t) ( zExp - 1 ) ) { |
| 4944 | if ( ( 0x7FFE < zExp ) |
| 4945 | || ( ( zExp == 0x7FFE ) |
| 4946 | && ( zSig0 == UINT64_C(0xFFFFFFFFFFFFFFFF) ) |
| 4947 | && increment |
| 4948 | ) |
| 4949 | ) { |
| 4950 | roundMask = 0; |
| 4951 | overflow: |
| 4952 | float_raise(float_flag_overflow | float_flag_inexact, status); |
| 4953 | if ( ( roundingMode == float_round_to_zero ) |
| 4954 | || ( zSign && ( roundingMode == float_round_up ) ) |
| 4955 | || ( ! zSign && ( roundingMode == float_round_down ) ) |
| 4956 | ) { |
| 4957 | return packFloatx80( zSign, 0x7FFE, ~ roundMask ); |
| 4958 | } |
| 4959 | return floatx80_default_inf(zSign, status); |
| 4960 | } |
| 4961 | if ( zExp <= 0 ) { |
| 4962 | isTiny = get_tininess_before_rounding(status) |
| 4963 | || (zExp < 0) |
| 4964 | || !increment |
| 4965 | || (zSig0 < UINT64_C(0xFFFFFFFFFFFFFFFF)); |
| 4966 | shift64ExtraRightJamming( zSig0, zSig1, 1 - zExp, &zSig0, &zSig1 ); |
| 4967 | zExp = 0; |
| 4968 | if (isTiny && zSig1) { |
| 4969 | float_raise(float_flag_underflow, status); |
| 4970 | } |
| 4971 | if (zSig1) { |
| 4972 | float_raise(float_flag_inexact, status); |
| 4973 | } |
| 4974 | switch (roundingMode) { |
| 4975 | case float_round_nearest_even: |
| 4976 | case float_round_ties_away: |
| 4977 | increment = ((int64_t)zSig1 < 0); |
| 4978 | break; |
| 4979 | case float_round_to_zero: |
| 4980 | increment = 0; |
| 4981 | break; |
| 4982 | case float_round_up: |
| 4983 | increment = !zSign && zSig1; |
| 4984 | break; |
| 4985 | case float_round_down: |
| 4986 | increment = zSign && zSig1; |
| 4987 | break; |
| 4988 | default: |
| 4989 | abort(); |
| 4990 | } |
| 4991 | if ( increment ) { |
| 4992 | ++zSig0; |
| 4993 | if (!(zSig1 << 1) && roundNearestEven) { |
| 4994 | zSig0 &= ~1; |
| 4995 | } |
| 4996 | if ( (int64_t) zSig0 < 0 ) zExp = 1; |
| 4997 | } |
| 4998 | return packFloatx80( zSign, zExp, zSig0 ); |
| 4999 | } |
| 5000 | } |
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