| 1 | // Licensed to the .NET Foundation under one or more agreements. | 
| 2 | // The .NET Foundation licenses this file to you under the MIT license. | 
| 3 | // See the LICENSE file in the project root for more information. | 
| 4 |  | 
| 5 | /*++ | 
| 6 |  | 
| 7 |  | 
| 8 |  | 
| 9 | Module Name: | 
| 10 |  | 
| 11 |     math.cpp | 
| 12 |  | 
| 13 | Abstract: | 
| 14 |  | 
| 15 |     Implementation of math family functions. | 
| 16 |  | 
| 17 |  | 
| 18 |  | 
| 19 | --*/ | 
| 20 |  | 
| 21 | #include "pal/palinternal.h" | 
| 22 | #include "pal/dbgmsg.h" | 
| 23 |  | 
| 24 | #include <math.h> | 
| 25 |  | 
| 26 | #if HAVE_IEEEFP_H | 
| 27 | #include <ieeefp.h> | 
| 28 | #endif  // HAVE_IEEEFP_H | 
| 29 |  | 
| 30 | #include <errno.h> | 
| 31 |  | 
| 32 | #define PAL_NAN_DBL     sqrt(-1.0) | 
| 33 | #define PAL_POSINF_DBL -log(0.0) | 
| 34 | #define PAL_NEGINF_DBL  log(0.0) | 
| 35 |  | 
| 36 | #define IS_DBL_NEGZERO(x)         (((*((INT64*)((void*)&x))) & I64(0xFFFFFFFFFFFFFFFF)) == I64(0x8000000000000000)) | 
| 37 |  | 
| 38 | #define PAL_NAN_FLT     sqrtf(-1.0f) | 
| 39 | #define PAL_POSINF_FLT -logf(0.0f) | 
| 40 | #define PAL_NEGINF_FLT  logf(0.0f) | 
| 41 |  | 
| 42 | #define IS_FLT_NEGZERO(x)         (((*((INT32*)((void*)&x))) & 0xFFFFFFFF) == 0x80000000) | 
| 43 |  | 
| 44 | SET_DEFAULT_DEBUG_CHANNEL(CRT); | 
| 45 |  | 
| 46 | /*++ | 
| 47 | Function: | 
| 48 |   _signbit | 
| 49 |  | 
| 50 | Determines whether given double-precision floating point value has a negative sign. | 
| 51 |  | 
| 52 | Return Value | 
| 53 |  | 
| 54 | _signbit returns a nonzero value (TRUE) if the sign of its argument x is negative. | 
| 55 |  | 
| 56 | Parameter | 
| 57 |  | 
| 58 | x  Double-precision floating-point value | 
| 59 |  | 
| 60 | --*/ | 
| 61 | int __cdecl _signbit(double x) | 
| 62 | { | 
| 63 |     int ret; | 
| 64 |     PERF_ENTRY(_signbit); | 
| 65 |     ENTRY("_signbit (x=%f)\n" , x); | 
| 66 |  | 
| 67 |     ret = signbit(x); | 
| 68 |  | 
| 69 |     LOGEXIT("_signbit returns int %d\n" , ret); | 
| 70 |     PERF_EXIT(_signbit); | 
| 71 |     return ret; | 
| 72 | } | 
| 73 |  | 
| 74 | /*++ | 
| 75 | Function: | 
| 76 |   _finite | 
| 77 |  | 
| 78 | Determines whether given double-precision floating point value is finite. | 
| 79 |  | 
| 80 | Return Value | 
| 81 |  | 
| 82 | _finite returns a nonzero value (TRUE) if its argument x is not | 
| 83 | infinite, that is, if -INF < x < +INF. It returns 0 (FALSE) if the | 
| 84 | argument is infinite or a NaN. | 
| 85 |  | 
| 86 | Parameter | 
| 87 |  | 
| 88 | x  Double-precision floating-point value | 
| 89 |  | 
| 90 | --*/ | 
| 91 | int __cdecl _finite(double x) | 
| 92 | { | 
| 93 |     int ret; | 
| 94 |     PERF_ENTRY(_finite); | 
| 95 |     ENTRY("_finite (x=%f)\n" , x); | 
| 96 |  | 
| 97 |     ret = isfinite(x); | 
| 98 |  | 
| 99 |     LOGEXIT("_finite returns int %d\n" , ret); | 
| 100 |     PERF_EXIT(_finite); | 
| 101 |     return ret; | 
| 102 | } | 
| 103 |  | 
| 104 | /*++ | 
| 105 | Function: | 
| 106 |   _isnan | 
| 107 |  | 
| 108 | See MSDN doc | 
| 109 | --*/ | 
| 110 | int __cdecl _isnan(double x) | 
| 111 | { | 
| 112 |     int ret; | 
| 113 |     PERF_ENTRY(_isnan); | 
| 114 |     ENTRY("_isnan (x=%f)\n" , x); | 
| 115 |  | 
| 116 |     ret = isnan(x); | 
| 117 |  | 
| 118 |     LOGEXIT("_isnan returns int %d\n" , ret); | 
| 119 |     PERF_EXIT(_isnan); | 
| 120 |     return ret; | 
| 121 | } | 
| 122 |  | 
| 123 | /*++ | 
| 124 | Function: | 
| 125 |   _copysign | 
| 126 |  | 
| 127 | See MSDN doc | 
| 128 | --*/ | 
| 129 | double __cdecl _copysign(double x, double y) | 
| 130 | { | 
| 131 |     double ret; | 
| 132 |     PERF_ENTRY(_copysign); | 
| 133 |     ENTRY("_copysign (x=%f, y=%f)\n" , x, y); | 
| 134 |  | 
| 135 |     ret = copysign(x, y); | 
| 136 |  | 
| 137 |     LOGEXIT("_copysign returns double %f\n" , ret); | 
| 138 |     PERF_EXIT(_copysign); | 
| 139 |     return ret; | 
| 140 | } | 
| 141 |  | 
| 142 | /*++ | 
| 143 | Function: | 
| 144 |     acos | 
| 145 |  | 
| 146 | See MSDN. | 
| 147 | --*/ | 
| 148 | PALIMPORT double __cdecl PAL_acos(double x) | 
| 149 | { | 
| 150 |     double ret; | 
| 151 |     PERF_ENTRY(acos); | 
| 152 |     ENTRY("acos (x=%f)\n" , x); | 
| 153 |  | 
| 154 | #if !HAVE_COMPATIBLE_ACOS | 
| 155 |     errno = 0; | 
| 156 | #endif  // HAVE_COMPATIBLE_ACOS | 
| 157 |  | 
| 158 |     ret = acos(x); | 
| 159 |      | 
| 160 | #if !HAVE_COMPATIBLE_ACOS | 
| 161 |     if (errno == EDOM) | 
| 162 |     { | 
| 163 |         ret = PAL_NAN_DBL;  // NaN | 
| 164 |     } | 
| 165 | #endif  // HAVE_COMPATIBLE_ACOS | 
| 166 |  | 
| 167 |     LOGEXIT("acos returns double %f\n" , ret); | 
| 168 |     PERF_EXIT(acos); | 
| 169 |     return ret; | 
| 170 | } | 
| 171 |  | 
| 172 | /*++ | 
| 173 | Function: | 
| 174 |     acosh | 
| 175 |  | 
| 176 | See MSDN. | 
| 177 | --*/ | 
| 178 | PALIMPORT double __cdecl PAL_acosh(double x) | 
| 179 | { | 
| 180 |     double ret; | 
| 181 |     PERF_ENTRY(acosh); | 
| 182 |     ENTRY("acosh (x=%f)\n" , x); | 
| 183 |  | 
| 184 |     ret = acosh(x); | 
| 185 |  | 
| 186 |     LOGEXIT("acosh returns double %f\n" , ret); | 
| 187 |     PERF_EXIT(acosh); | 
| 188 |     return ret; | 
| 189 | } | 
| 190 |  | 
| 191 | /*++ | 
| 192 | Function: | 
| 193 |     asin | 
| 194 |  | 
| 195 | See MSDN. | 
| 196 | --*/ | 
| 197 | PALIMPORT double __cdecl PAL_asin(double x) | 
| 198 | { | 
| 199 |     double ret; | 
| 200 |     PERF_ENTRY(asin); | 
| 201 |     ENTRY("asin (x=%f)\n" , x); | 
| 202 |  | 
| 203 | #if !HAVE_COMPATIBLE_ASIN | 
| 204 |     errno = 0; | 
| 205 | #endif  // HAVE_COMPATIBLE_ASIN | 
| 206 |  | 
| 207 |     ret = asin(x); | 
| 208 |  | 
| 209 | #if !HAVE_COMPATIBLE_ASIN | 
| 210 |     if (errno == EDOM) | 
| 211 |     { | 
| 212 |         ret = PAL_NAN_DBL;  // NaN | 
| 213 |     } | 
| 214 | #endif  // HAVE_COMPATIBLE_ASIN | 
| 215 |  | 
| 216 |     LOGEXIT("asin returns double %f\n" , ret); | 
| 217 |     PERF_EXIT(asin); | 
| 218 |     return ret; | 
| 219 | } | 
| 220 |  | 
| 221 | /*++ | 
| 222 | Function: | 
| 223 |     asinh | 
| 224 |  | 
| 225 | See MSDN. | 
| 226 | --*/ | 
| 227 | PALIMPORT double __cdecl PAL_asinh(double x) | 
| 228 | { | 
| 229 |     double ret; | 
| 230 |     PERF_ENTRY(asinh); | 
| 231 |     ENTRY("asinh (x=%f)\n" , x); | 
| 232 |  | 
| 233 |     ret = asinh(x); | 
| 234 |  | 
| 235 |     LOGEXIT("asinh returns double %f\n" , ret); | 
| 236 |     PERF_EXIT(asinh); | 
| 237 |     return ret; | 
| 238 | } | 
| 239 |  | 
| 240 | /*++ | 
| 241 | Function: | 
| 242 |     atan2 | 
| 243 |  | 
| 244 | See MSDN. | 
| 245 | --*/ | 
| 246 | PALIMPORT double __cdecl PAL_atan2(double y, double x) | 
| 247 | { | 
| 248 |     double ret; | 
| 249 |     PERF_ENTRY(atan2); | 
| 250 |     ENTRY("atan2 (y=%f, x=%f)\n" , y, x); | 
| 251 |  | 
| 252 | #if !HAVE_COMPATIBLE_ATAN2 | 
| 253 |     errno = 0; | 
| 254 | #endif  // !HAVE_COMPATIBLE_ATAN2 | 
| 255 |  | 
| 256 |     ret = atan2(y, x); | 
| 257 |  | 
| 258 | #if !HAVE_COMPATIBLE_ATAN2 | 
| 259 |     if ((errno == EDOM) && (x == 0.0) && (y == 0.0)) | 
| 260 |     { | 
| 261 |         const double sign_x = copysign(1.0, x); | 
| 262 |         const double sign_y = copysign(1.0, y); | 
| 263 |  | 
| 264 |         if (sign_x > 0) | 
| 265 |         { | 
| 266 |             ret = copysign(0.0, sign_y); | 
| 267 |         } | 
| 268 |         else | 
| 269 |         { | 
| 270 |             ret = copysign(atan2(0.0, -1.0), sign_y); | 
| 271 |         } | 
| 272 |     } | 
| 273 | #endif  // !HAVE_COMPATIBLE_ATAN2 | 
| 274 |  | 
| 275 |     LOGEXIT("atan2 returns double %f\n" , ret); | 
| 276 |     PERF_EXIT(atan2); | 
| 277 |     return ret; | 
| 278 | } | 
| 279 |  | 
| 280 | /*++ | 
| 281 | Function: | 
| 282 |     exp | 
| 283 |  | 
| 284 | See MSDN. | 
| 285 | --*/ | 
| 286 | PALIMPORT double __cdecl PAL_exp(double x) | 
| 287 | { | 
| 288 |     double ret; | 
| 289 |     PERF_ENTRY(exp); | 
| 290 |     ENTRY("exp (x=%f)\n" , x); | 
| 291 |  | 
| 292 | #if !HAVE_COMPATIBLE_EXP | 
| 293 |     if (x == 1.0)  | 
| 294 |     { | 
| 295 |         ret = M_E; | 
| 296 |     } | 
| 297 |     else | 
| 298 |     { | 
| 299 | #endif  // HAVE_COMPATIBLE_EXP | 
| 300 |  | 
| 301 |     ret = exp(x); | 
| 302 |      | 
| 303 | #if !HAVE_COMPATIBLE_EXP | 
| 304 |     } | 
| 305 | #endif // HAVE_COMPATIBLE_EXP | 
| 306 |  | 
| 307 |     LOGEXIT("exp returns double %f\n" , ret); | 
| 308 |     PERF_EXIT(exp); | 
| 309 |     return ret; | 
| 310 | } | 
| 311 |  | 
| 312 | /*++ | 
| 313 | Function: | 
| 314 |     fma | 
| 315 |  | 
| 316 | See MSDN. | 
| 317 | --*/ | 
| 318 | PALIMPORT double __cdecl PAL_fma(double x, double y, double z) | 
| 319 | { | 
| 320 |     double ret; | 
| 321 |     PERF_ENTRY(fma); | 
| 322 |     ENTRY("fma (x=%f, y=%f, z=%f)\n" , x, y, z); | 
| 323 |  | 
| 324 |     ret = fma(x, y, z); | 
| 325 |  | 
| 326 |     LOGEXIT("fma returns double %f\n" , ret); | 
| 327 |     PERF_EXIT(fma); | 
| 328 |     return ret; | 
| 329 | } | 
| 330 |  | 
| 331 | /*++ | 
| 332 | Function: | 
| 333 |     ilogb | 
| 334 |  | 
| 335 | See MSDN. | 
| 336 | --*/ | 
| 337 | PALIMPORT int __cdecl PAL_ilogb(double x) | 
| 338 | { | 
| 339 |     int ret; | 
| 340 |     PERF_ENTRY(ilogb); | 
| 341 |     ENTRY("ilogb (x=%f)\n" , x); | 
| 342 |  | 
| 343 | #if !HAVE_COMPATIBLE_ILOGB0 | 
| 344 |     if (x == 0.0) | 
| 345 |     { | 
| 346 |         ret = -2147483648; | 
| 347 |     } | 
| 348 |     else  | 
| 349 | #endif // !HAVE_COMPATIBLE_ILOGB0 | 
| 350 |  | 
| 351 | #if !HAVE_COMPATIBLE_ILOGBNAN | 
| 352 |     if (isnan(x)) | 
| 353 |     { | 
| 354 |         ret = 2147483647; | 
| 355 |     } | 
| 356 |     else | 
| 357 | #endif // !HAVE_COMPATIBLE_ILOGBNAN | 
| 358 |  | 
| 359 |     { | 
| 360 |         ret = ilogb(x); | 
| 361 |     } | 
| 362 |  | 
| 363 |     LOGEXIT("ilogb returns int %d\n" , ret); | 
| 364 |     PERF_EXIT(ilogb); | 
| 365 |     return ret; | 
| 366 | } | 
| 367 |  | 
| 368 | /*++ | 
| 369 | Function: | 
| 370 |     labs | 
| 371 |  | 
| 372 | See MSDN. | 
| 373 | --*/ | 
| 374 | PALIMPORT LONG __cdecl PAL_labs(LONG l) | 
| 375 | { | 
| 376 |     long lRet; | 
| 377 |     PERF_ENTRY(labs); | 
| 378 |     ENTRY("labs (l=%ld)\n" , l); | 
| 379 |      | 
| 380 |     lRet = labs(l);     | 
| 381 |  | 
| 382 |     LOGEXIT("labs returns long %ld\n" , lRet); | 
| 383 |     PERF_EXIT(labs); | 
| 384 |     return (LONG)lRet; // This explicit cast to LONG is used to silence any potential warnings due to implicitly casting the native long lRet to LONG when returning. | 
| 385 | } | 
| 386 |  | 
| 387 | /*++ | 
| 388 | Function: | 
| 389 |     log | 
| 390 |  | 
| 391 | See MSDN. | 
| 392 | --*/ | 
| 393 | PALIMPORT double __cdecl PAL_log(double x) | 
| 394 | { | 
| 395 |     double ret; | 
| 396 |     PERF_ENTRY(log); | 
| 397 |     ENTRY("log (x=%f)\n" , x); | 
| 398 |  | 
| 399 | #if !HAVE_COMPATIBLE_LOG | 
| 400 |     errno = 0; | 
| 401 | #endif  // !HAVE_COMPATIBLE_LOG | 
| 402 |  | 
| 403 |     ret = log(x); | 
| 404 |  | 
| 405 | #if !HAVE_COMPATIBLE_LOG | 
| 406 |     if ((errno == EDOM) && (x < 0)) | 
| 407 |     { | 
| 408 |         ret = PAL_NAN_DBL;    // NaN | 
| 409 |     } | 
| 410 | #endif  // !HAVE_COMPATIBLE_LOG | 
| 411 |  | 
| 412 |     LOGEXIT("log returns double %f\n" , ret); | 
| 413 |     PERF_EXIT(log); | 
| 414 |     return ret; | 
| 415 | } | 
| 416 |  | 
| 417 | /*++ | 
| 418 | Function: | 
| 419 |     log2 | 
| 420 |  | 
| 421 | See MSDN. | 
| 422 | --*/ | 
| 423 | PALIMPORT double __cdecl PAL_log2(double x) | 
| 424 | { | 
| 425 |     double ret; | 
| 426 |     PERF_ENTRY(log2); | 
| 427 |     ENTRY("log2 (x=%f)\n" , x); | 
| 428 |  | 
| 429 |     ret = log2(x); | 
| 430 |  | 
| 431 |     LOGEXIT("log2 returns double %f\n" , ret); | 
| 432 |     PERF_EXIT(log2); | 
| 433 |     return ret; | 
| 434 | } | 
| 435 |  | 
| 436 | /*++ | 
| 437 | Function: | 
| 438 |     log10 | 
| 439 |  | 
| 440 | See MSDN. | 
| 441 | --*/ | 
| 442 | PALIMPORT double __cdecl PAL_log10(double x) | 
| 443 | { | 
| 444 |     double ret; | 
| 445 |     PERF_ENTRY(log10); | 
| 446 |     ENTRY("log10 (x=%f)\n" , x); | 
| 447 |  | 
| 448 | #if !HAVE_COMPATIBLE_LOG10 | 
| 449 |     errno = 0; | 
| 450 | #endif  // !HAVE_COMPATIBLE_LOG10 | 
| 451 |  | 
| 452 |     ret = log10(x); | 
| 453 |      | 
| 454 | #if !HAVE_COMPATIBLE_LOG10 | 
| 455 |     if ((errno == EDOM) && (x < 0)) | 
| 456 |     { | 
| 457 |         ret = PAL_NAN_DBL;    // NaN | 
| 458 |     } | 
| 459 | #endif  // !HAVE_COMPATIBLE_LOG10 | 
| 460 |  | 
| 461 |     LOGEXIT("log10 returns double %f\n" , ret); | 
| 462 |     PERF_EXIT(log10); | 
| 463 |     return ret; | 
| 464 | } | 
| 465 |  | 
| 466 | /*++ | 
| 467 | Function: | 
| 468 |     pow | 
| 469 |  | 
| 470 | See MSDN. | 
| 471 | --*/ | 
| 472 | PALIMPORT double __cdecl PAL_pow(double x, double y) | 
| 473 | { | 
| 474 |     double ret; | 
| 475 |     PERF_ENTRY(pow); | 
| 476 |     ENTRY("pow (x=%f, y=%f)\n" , x, y); | 
| 477 |  | 
| 478 | #if !HAVE_COMPATIBLE_POW | 
| 479 |     if ((y == PAL_POSINF_DBL) && !isnan(x))    // +Inf | 
| 480 |     { | 
| 481 |         if (x == 1.0) | 
| 482 |         { | 
| 483 |             ret = x; | 
| 484 |         } | 
| 485 |         else if (x == -1.0) | 
| 486 |         { | 
| 487 |             ret = 1.0; | 
| 488 |         } | 
| 489 |         else if ((x > -1.0) && (x < 1.0)) | 
| 490 |         { | 
| 491 |             ret = 0.0; | 
| 492 |         } | 
| 493 |         else | 
| 494 |         { | 
| 495 |             ret = PAL_POSINF_DBL;    // +Inf | 
| 496 |         } | 
| 497 |     } | 
| 498 |     else if ((y == PAL_NEGINF_DBL) && !isnan(x))   // -Inf | 
| 499 |     { | 
| 500 |         if (x == 1.0) | 
| 501 |         { | 
| 502 |             ret = x; | 
| 503 |         } | 
| 504 |         else if (x == -1.0) | 
| 505 |         { | 
| 506 |             ret = 1.0; | 
| 507 |         } | 
| 508 |         else if ((x > -1.0) && (x < 1.0)) | 
| 509 |         { | 
| 510 |             ret = PAL_POSINF_DBL;    // +Inf | 
| 511 |         } | 
| 512 |         else | 
| 513 |         { | 
| 514 |             ret = 0.0; | 
| 515 |         } | 
| 516 |     } | 
| 517 |     else if (IS_DBL_NEGZERO(x) && (y == -1.0)) | 
| 518 |     { | 
| 519 |         ret = PAL_NEGINF_DBL;    // -Inf | 
| 520 |     } | 
| 521 |     else if ((x == 0.0) && (y < 0.0)) | 
| 522 |     { | 
| 523 |         ret = PAL_POSINF_DBL;    // +Inf | 
| 524 |     } | 
| 525 |     else | 
| 526 | #endif  // !HAVE_COMPATIBLE_POW | 
| 527 |  | 
| 528 |     ret = pow(x, y); | 
| 529 |  | 
| 530 | #if !HAVE_VALID_NEGATIVE_INF_POW | 
| 531 |     if ((ret == PAL_POSINF_DBL) && (x < 0) && isfinite(x) && (ceil(y / 2) != floor(y / 2))) | 
| 532 |     { | 
| 533 |         ret = PAL_NEGINF_DBL;   // -Inf | 
| 534 |     } | 
| 535 | #endif  // !HAVE_VALID_NEGATIVE_INF_POW | 
| 536 |  | 
| 537 | #if !HAVE_VALID_POSITIVE_INF_POW | 
| 538 |     /* | 
| 539 |     * The even/odd test in the if (this one and the one above) used to be ((long long) y % 2 == 0) | 
| 540 |     * on SPARC (long long) y for large y (>2**63) is always 0x7fffffff7fffffff, which | 
| 541 |     * is an odd number, so the test ((long long) y % 2 == 0) will always fail for | 
| 542 |     * large y. Since large double numbers are always even (e.g., the representation of | 
| 543 |     * 1E20+1 is the same as that of 1E20, the last .+1. is too insignificant to be part | 
| 544 |     * of the representation), this test will always return the wrong result for large y. | 
| 545 |     *  | 
| 546 |     * The (ceil(y/2) == floor(y/2)) test is slower, but more robust. | 
| 547 |     */ | 
| 548 |     if ((ret == PAL_NEGINF_DBL) && (x < 0) && isfinite(x) && (ceil(y / 2) == floor(y / 2))) | 
| 549 |     { | 
| 550 |         ret = PAL_POSINF_DBL;   // +Inf | 
| 551 |     } | 
| 552 | #endif  // !HAVE_VALID_POSITIVE_INF_POW | 
| 553 |  | 
| 554 |     LOGEXIT("pow returns double %f\n" , ret); | 
| 555 |     PERF_EXIT(pow); | 
| 556 |     return ret; | 
| 557 | } | 
| 558 |  | 
| 559 | /*++ | 
| 560 | Function: | 
| 561 |     scalbn | 
| 562 |  | 
| 563 | See MSDN. | 
| 564 | --*/ | 
| 565 | PALIMPORT double __cdecl PAL_scalbn(double x, int n) | 
| 566 | { | 
| 567 |     double ret; | 
| 568 |     PERF_ENTRY(scalbn); | 
| 569 |     ENTRY("scalbn (x=%f, n=%d)\n" , x, n); | 
| 570 |  | 
| 571 |     ret = scalbn(x, n); | 
| 572 |  | 
| 573 |     LOGEXIT("scalbn returns double %f\n" , ret); | 
| 574 |     PERF_EXIT(scalbn); | 
| 575 |     return ret; | 
| 576 | } | 
| 577 |  | 
| 578 | /*++ | 
| 579 | Function: | 
| 580 |   _signbitf | 
| 581 |  | 
| 582 | Determines whether given single-precision floating point value has a negative sign. | 
| 583 |  | 
| 584 | Return Value | 
| 585 |  | 
| 586 | _signbitf returns a nonzero value (TRUE) if the sign of its argument x is negative. | 
| 587 |  | 
| 588 | Parameter | 
| 589 |  | 
| 590 | x  Single-precision floating-point value | 
| 591 |  | 
| 592 | --*/ | 
| 593 | int __cdecl _signbitf(float x) | 
| 594 | { | 
| 595 |     int ret; | 
| 596 |     PERF_ENTRY(_signbitf); | 
| 597 |     ENTRY("_signbitf (x=%f)\n" , x); | 
| 598 |  | 
| 599 |     ret = signbit(x); | 
| 600 |  | 
| 601 |     LOGEXIT("_signbitf returns int %d\n" , ret); | 
| 602 |     PERF_EXIT(_signbitf); | 
| 603 |     return ret; | 
| 604 | } | 
| 605 |  | 
| 606 | /*++ | 
| 607 | Function: | 
| 608 |   _finitef | 
| 609 |  | 
| 610 | Determines whether given single-precision floating point value is finite. | 
| 611 |  | 
| 612 | Return Value | 
| 613 |  | 
| 614 | _finitef returns a nonzero value (TRUE) if its argument x is not | 
| 615 | infinite, that is, if -INF < x < +INF. It returns 0 (FALSE) if the | 
| 616 | argument is infinite or a NaN. | 
| 617 |  | 
| 618 | Parameter | 
| 619 |  | 
| 620 | x  Single-precision floating-point value | 
| 621 |  | 
| 622 | --*/ | 
| 623 | int __cdecl _finitef(float x) | 
| 624 | { | 
| 625 |     int ret; | 
| 626 |     PERF_ENTRY(_finitef); | 
| 627 |     ENTRY("_finitef (x=%f)\n" , x); | 
| 628 |  | 
| 629 |     ret = isfinite(x); | 
| 630 |  | 
| 631 |     LOGEXIT("_finitef returns int %d\n" , ret); | 
| 632 |     PERF_EXIT(_finitef); | 
| 633 |     return ret; | 
| 634 | } | 
| 635 |  | 
| 636 | /*++ | 
| 637 | Function: | 
| 638 |   _isnanf | 
| 639 |  | 
| 640 | See MSDN doc | 
| 641 | --*/ | 
| 642 | int __cdecl _isnanf(float x) | 
| 643 | { | 
| 644 |     int ret; | 
| 645 |     PERF_ENTRY(_isnanf); | 
| 646 |     ENTRY("_isnanf (x=%f)\n" , x); | 
| 647 |  | 
| 648 |     ret = isnan(x); | 
| 649 |  | 
| 650 |     LOGEXIT("_isnanf returns int %d\n" , ret); | 
| 651 |     PERF_EXIT(_isnanf); | 
| 652 |     return ret; | 
| 653 | } | 
| 654 |  | 
| 655 | /*++ | 
| 656 | Function: | 
| 657 |   _copysignf | 
| 658 |  | 
| 659 | See MSDN doc | 
| 660 | --*/ | 
| 661 | float __cdecl _copysignf(float x, float y) | 
| 662 | { | 
| 663 |     float ret; | 
| 664 |     PERF_ENTRY(_copysignf); | 
| 665 |     ENTRY("_copysignf (x=%f, y=%f)\n" , x, y); | 
| 666 |  | 
| 667 |     ret = copysign(x, y); | 
| 668 |  | 
| 669 |     LOGEXIT("_copysignf returns float %f\n" , ret); | 
| 670 |     PERF_EXIT(_copysignf); | 
| 671 |     return ret; | 
| 672 | } | 
| 673 |  | 
| 674 | /*++ | 
| 675 | Function: | 
| 676 |     acosf | 
| 677 |  | 
| 678 | See MSDN. | 
| 679 | --*/ | 
| 680 | PALIMPORT float __cdecl PAL_acosf(float x) | 
| 681 | { | 
| 682 |     float ret; | 
| 683 |     PERF_ENTRY(acosf); | 
| 684 |     ENTRY("acosf (x=%f)\n" , x); | 
| 685 |  | 
| 686 | #if !HAVE_COMPATIBLE_ACOS | 
| 687 |     errno = 0; | 
| 688 | #endif  // HAVE_COMPATIBLE_ACOS | 
| 689 |  | 
| 690 |     ret = acosf(x); | 
| 691 |      | 
| 692 | #if !HAVE_COMPATIBLE_ACOS | 
| 693 |     if (errno == EDOM) | 
| 694 |     { | 
| 695 |         ret = PAL_NAN_FLT;  // NaN | 
| 696 |     } | 
| 697 | #endif  // HAVE_COMPATIBLE_ACOS | 
| 698 |  | 
| 699 |     LOGEXIT("acosf returns float %f\n" , ret); | 
| 700 |     PERF_EXIT(acosf); | 
| 701 |     return ret; | 
| 702 | } | 
| 703 |  | 
| 704 | /*++ | 
| 705 | Function: | 
| 706 |     acoshf | 
| 707 |  | 
| 708 | See MSDN. | 
| 709 | --*/ | 
| 710 | PALIMPORT float __cdecl PAL_acoshf(float x) | 
| 711 | { | 
| 712 |     float ret; | 
| 713 |     PERF_ENTRY(acoshf); | 
| 714 |     ENTRY("acoshf (x=%f)\n" , x); | 
| 715 |  | 
| 716 |     ret = acoshf(x); | 
| 717 |  | 
| 718 |     LOGEXIT("acoshf returns float %f\n" , ret); | 
| 719 |     PERF_EXIT(acoshf); | 
| 720 |     return ret; | 
| 721 | } | 
| 722 |  | 
| 723 | /*++ | 
| 724 | Function: | 
| 725 |     asinf | 
| 726 |  | 
| 727 | See MSDN. | 
| 728 | --*/ | 
| 729 | PALIMPORT float __cdecl PAL_asinf(float x) | 
| 730 | { | 
| 731 |     float ret; | 
| 732 |     PERF_ENTRY(asinf); | 
| 733 |     ENTRY("asinf (x=%f)\n" , x); | 
| 734 |  | 
| 735 | #if !HAVE_COMPATIBLE_ASIN | 
| 736 |     errno = 0; | 
| 737 | #endif  // HAVE_COMPATIBLE_ASIN | 
| 738 |  | 
| 739 |     ret = asinf(x); | 
| 740 |  | 
| 741 | #if !HAVE_COMPATIBLE_ASIN | 
| 742 |     if (errno == EDOM) | 
| 743 |     { | 
| 744 |         ret = PAL_NAN_FLT;  // NaN | 
| 745 |     } | 
| 746 | #endif  // HAVE_COMPATIBLE_ASIN | 
| 747 |  | 
| 748 |     LOGEXIT("asinf returns float %f\n" , ret); | 
| 749 |     PERF_EXIT(asinf); | 
| 750 |     return ret; | 
| 751 | } | 
| 752 |  | 
| 753 | /*++ | 
| 754 | Function: | 
| 755 |     asinhf | 
| 756 |  | 
| 757 | See MSDN. | 
| 758 | --*/ | 
| 759 | PALIMPORT float __cdecl PAL_asinhf(float x) | 
| 760 | { | 
| 761 |     float ret; | 
| 762 |     PERF_ENTRY(asinhf); | 
| 763 |     ENTRY("asinhf (x=%f)\n" , x); | 
| 764 |  | 
| 765 |     ret = asinhf(x); | 
| 766 |  | 
| 767 |     LOGEXIT("asinhf returns float %f\n" , ret); | 
| 768 |     PERF_EXIT(asinhf); | 
| 769 |     return ret; | 
| 770 | } | 
| 771 |  | 
| 772 |  | 
| 773 | /*++ | 
| 774 | Function: | 
| 775 |     atan2f | 
| 776 |  | 
| 777 | See MSDN. | 
| 778 | --*/ | 
| 779 | PALIMPORT float __cdecl PAL_atan2f(float y, float x) | 
| 780 | { | 
| 781 |     float ret; | 
| 782 |     PERF_ENTRY(atan2f); | 
| 783 |     ENTRY("atan2f (y=%f, x=%f)\n" , y, x); | 
| 784 |  | 
| 785 | #if !HAVE_COMPATIBLE_ATAN2 | 
| 786 |     errno = 0; | 
| 787 | #endif  // !HAVE_COMPATIBLE_ATAN2 | 
| 788 |  | 
| 789 |     ret = atan2f(y, x); | 
| 790 |  | 
| 791 | #if !HAVE_COMPATIBLE_ATAN2 | 
| 792 |     if ((errno == EDOM) && (x == 0.0f) && (y == 0.0f)) | 
| 793 |     { | 
| 794 |         const float sign_x = copysign(1.0f, x); | 
| 795 |         const float sign_y = copysign(1.0f, y); | 
| 796 |  | 
| 797 |         if (sign_x > 0) | 
| 798 |         { | 
| 799 |             ret = copysign(0.0f, sign_y); | 
| 800 |         } | 
| 801 |         else | 
| 802 |         { | 
| 803 |             ret = copysign(atan2f(0.0f, -1.0f), sign_y); | 
| 804 |         } | 
| 805 |     } | 
| 806 | #endif  // !HAVE_COMPATIBLE_ATAN2 | 
| 807 |  | 
| 808 |     LOGEXIT("atan2f returns float %f\n" , ret); | 
| 809 |     PERF_EXIT(atan2f); | 
| 810 |     return ret; | 
| 811 | } | 
| 812 |  | 
| 813 | /*++ | 
| 814 | Function: | 
| 815 |     expf | 
| 816 |  | 
| 817 | See MSDN. | 
| 818 | --*/ | 
| 819 | PALIMPORT float __cdecl PAL_expf(float x) | 
| 820 | { | 
| 821 |     float ret; | 
| 822 |     PERF_ENTRY(expf); | 
| 823 |     ENTRY("expf (x=%f)\n" , x); | 
| 824 |  | 
| 825 | #if !HAVE_COMPATIBLE_EXP | 
| 826 |     if (x == 1.0f)  | 
| 827 |     { | 
| 828 |         ret = M_E; | 
| 829 |     } | 
| 830 |     else | 
| 831 |     { | 
| 832 | #endif  // HAVE_COMPATIBLE_EXP | 
| 833 |  | 
| 834 |     ret = expf(x); | 
| 835 |      | 
| 836 | #if !HAVE_COMPATIBLE_EXP | 
| 837 |     } | 
| 838 | #endif // HAVE_COMPATIBLE_EXP | 
| 839 |  | 
| 840 |     LOGEXIT("expf returns float %f\n" , ret); | 
| 841 |     PERF_EXIT(expf); | 
| 842 |     return ret; | 
| 843 | } | 
| 844 |  | 
| 845 | /*++ | 
| 846 | Function: | 
| 847 |     fmaf | 
| 848 |  | 
| 849 | See MSDN. | 
| 850 | --*/ | 
| 851 | PALIMPORT float __cdecl PAL_fmaf(float x, float y, float z) | 
| 852 | { | 
| 853 |     float ret; | 
| 854 |     PERF_ENTRY(fmaf); | 
| 855 |     ENTRY("fmaf (x=%f, y=%f, z=%f)\n" , x, y, z); | 
| 856 |  | 
| 857 |     ret = fmaf(x, y, z); | 
| 858 |  | 
| 859 |     LOGEXIT("fma returns float %f\n" , ret); | 
| 860 |     PERF_EXIT(fmaf); | 
| 861 |     return ret; | 
| 862 | } | 
| 863 |  | 
| 864 | /*++ | 
| 865 | Function: | 
| 866 |     ilogbf | 
| 867 |  | 
| 868 | See MSDN. | 
| 869 | --*/ | 
| 870 | PALIMPORT int __cdecl PAL_ilogbf(float x) | 
| 871 | { | 
| 872 |     int ret; | 
| 873 |     PERF_ENTRY(ilogbf); | 
| 874 |     ENTRY("ilogbf (x=%f)\n" , x); | 
| 875 |  | 
| 876 | #if !HAVE_COMPATIBLE_ILOGB0 | 
| 877 |     if (x == 0.0f) | 
| 878 |     { | 
| 879 |         ret = -2147483648; | 
| 880 |     } | 
| 881 |     else  | 
| 882 | #endif // !HAVE_COMPATIBLE_ILOGB0 | 
| 883 |  | 
| 884 | #if !HAVE_COMPATIBLE_ILOGBNAN | 
| 885 |     if (isnan(x)) | 
| 886 |     { | 
| 887 |         ret = 2147483647; | 
| 888 |     } | 
| 889 |     else | 
| 890 | #endif // !HAVE_COMPATIBLE_ILOGBNAN | 
| 891 |  | 
| 892 |     { | 
| 893 |         ret = ilogbf(x); | 
| 894 |     } | 
| 895 |  | 
| 896 |     LOGEXIT("ilogbf returns int %d\n" , ret); | 
| 897 |     PERF_EXIT(ilogbf); | 
| 898 |     return ret; | 
| 899 | } | 
| 900 |  | 
| 901 | /*++ | 
| 902 | Function: | 
| 903 |     logf | 
| 904 |  | 
| 905 | See MSDN. | 
| 906 | --*/ | 
| 907 | PALIMPORT float __cdecl PAL_logf(float x) | 
| 908 | { | 
| 909 |     float ret; | 
| 910 |     PERF_ENTRY(logf); | 
| 911 |     ENTRY("logf (x=%f)\n" , x); | 
| 912 |  | 
| 913 | #if !HAVE_COMPATIBLE_LOG | 
| 914 |     errno = 0; | 
| 915 | #endif  // !HAVE_COMPATIBLE_LOG | 
| 916 |  | 
| 917 |     ret = logf(x); | 
| 918 |  | 
| 919 | #if !HAVE_COMPATIBLE_LOG | 
| 920 |     if ((errno == EDOM) && (x < 0)) | 
| 921 |     { | 
| 922 |         ret = PAL_NAN_FLT;    // NaN | 
| 923 |     } | 
| 924 | #endif  // !HAVE_COMPATIBLE_LOG | 
| 925 |  | 
| 926 |     LOGEXIT("logf returns float %f\n" , ret); | 
| 927 |     PERF_EXIT(logf); | 
| 928 |     return ret; | 
| 929 | } | 
| 930 |  | 
| 931 | /*++ | 
| 932 | Function: | 
| 933 |     log2f | 
| 934 |  | 
| 935 | See MSDN. | 
| 936 | --*/ | 
| 937 | PALIMPORT float __cdecl PAL_log2f(float x) | 
| 938 | { | 
| 939 |     float ret; | 
| 940 |     PERF_ENTRY(log2f); | 
| 941 |     ENTRY("log2f (x=%f)\n" , x); | 
| 942 |  | 
| 943 |     ret = log2f(x); | 
| 944 |  | 
| 945 |     LOGEXIT("log2f returns float %f\n" , ret); | 
| 946 |     PERF_EXIT(log2f); | 
| 947 |     return ret; | 
| 948 | } | 
| 949 |  | 
| 950 | /*++ | 
| 951 | Function: | 
| 952 |     log10f | 
| 953 |  | 
| 954 | See MSDN. | 
| 955 | --*/ | 
| 956 | PALIMPORT float __cdecl PAL_log10f(float x) | 
| 957 | { | 
| 958 |     float ret; | 
| 959 |     PERF_ENTRY(log10f); | 
| 960 |     ENTRY("log10f (x=%f)\n" , x); | 
| 961 |  | 
| 962 | #if !HAVE_COMPATIBLE_LOG10 | 
| 963 |     errno = 0; | 
| 964 | #endif  // !HAVE_COMPATIBLE_LOG10 | 
| 965 |  | 
| 966 |     ret = log10f(x); | 
| 967 |      | 
| 968 | #if !HAVE_COMPATIBLE_LOG10 | 
| 969 |     if ((errno == EDOM) && (x < 0)) | 
| 970 |     { | 
| 971 |         ret = PAL_NAN_FLT;    // NaN | 
| 972 |     } | 
| 973 | #endif  // !HAVE_COMPATIBLE_LOG10 | 
| 974 |  | 
| 975 |     LOGEXIT("log10f returns float %f\n" , ret); | 
| 976 |     PERF_EXIT(log10f); | 
| 977 |     return ret; | 
| 978 | } | 
| 979 |  | 
| 980 | /*++ | 
| 981 | Function: | 
| 982 |     powf | 
| 983 |  | 
| 984 | See MSDN. | 
| 985 | --*/ | 
| 986 | PALIMPORT float __cdecl PAL_powf(float x, float y) | 
| 987 | { | 
| 988 |     float ret; | 
| 989 |     PERF_ENTRY(powf); | 
| 990 |     ENTRY("powf (x=%f, y=%f)\n" , x, y); | 
| 991 |  | 
| 992 | #if !HAVE_COMPATIBLE_POW | 
| 993 |     if ((y == PAL_POSINF_FLT) && !isnan(x))    // +Inf | 
| 994 |     { | 
| 995 |         if (x == 1.0f) | 
| 996 |         { | 
| 997 |             ret = x; | 
| 998 |         } | 
| 999 |         else if (x == -1.0f) | 
| 1000 |         { | 
| 1001 |             ret = 1.0f; | 
| 1002 |         } | 
| 1003 |         else if ((x > -1.0f) && (x < 1.0f)) | 
| 1004 |         { | 
| 1005 |             ret = 0.0f; | 
| 1006 |         } | 
| 1007 |         else | 
| 1008 |         { | 
| 1009 |             ret = PAL_POSINF_FLT;    // +Inf | 
| 1010 |         } | 
| 1011 |     } | 
| 1012 |     else if ((y == PAL_NEGINF_FLT) && !isnan(x))   // -Inf | 
| 1013 |     { | 
| 1014 |         if (x == 1.0f) | 
| 1015 |         { | 
| 1016 |             ret = x; | 
| 1017 |         } | 
| 1018 |         else if (x == -1.0f) | 
| 1019 |         { | 
| 1020 |             ret = 1.0f; | 
| 1021 |         } | 
| 1022 |         else if ((x > -1.0f) && (x < 1.0f)) | 
| 1023 |         { | 
| 1024 |             ret = PAL_POSINF_FLT;    // +Inf | 
| 1025 |         } | 
| 1026 |         else | 
| 1027 |         { | 
| 1028 |             ret = 0.0f; | 
| 1029 |         } | 
| 1030 |     } | 
| 1031 |     else if (IS_FLT_NEGZERO(x) && (y == -1.0f)) | 
| 1032 |     { | 
| 1033 |         ret = PAL_NEGINF_FLT;    // -Inf | 
| 1034 |     } | 
| 1035 |     else if ((x == 0.0f) && (y < 0.0f)) | 
| 1036 |     { | 
| 1037 |         ret = PAL_POSINF_FLT;    // +Inf | 
| 1038 |     } | 
| 1039 |     else | 
| 1040 | #endif  // !HAVE_COMPATIBLE_POW | 
| 1041 |  | 
| 1042 |     ret = powf(x, y); | 
| 1043 | 		 | 
| 1044 | #if !HAVE_VALID_NEGATIVE_INF_POW | 
| 1045 |     if ((ret == PAL_POSINF_FLT) && (x < 0) && isfinite(x) && (ceilf(y / 2) != floorf(y / 2))) | 
| 1046 |     { | 
| 1047 |         ret = PAL_NEGINF_FLT;   // -Inf | 
| 1048 |     } | 
| 1049 | #endif  // !HAVE_VALID_NEGATIVE_INF_POW | 
| 1050 |  | 
| 1051 | #if !HAVE_VALID_POSITIVE_INF_POW | 
| 1052 |     /* | 
| 1053 |     * The (ceil(y/2) == floor(y/2)) test is slower, but more robust for platforms where large y | 
| 1054 |     * will return the wrong result for ((long) y % 2 == 0). See PAL_pow(double) above for more details. | 
| 1055 |     */ | 
| 1056 |     if ((ret == PAL_NEGINF_FLT) && (x < 0) && isfinite(x) && (ceilf(y / 2) == floorf(y / 2))) | 
| 1057 |     { | 
| 1058 |         ret = PAL_POSINF_FLT;   // +Inf | 
| 1059 |     } | 
| 1060 | #endif  // !HAVE_VALID_POSITIVE_INF_POW | 
| 1061 |  | 
| 1062 |     LOGEXIT("powf returns float %f\n" , ret); | 
| 1063 |     PERF_EXIT(powf); | 
| 1064 |     return ret; | 
| 1065 | } | 
| 1066 |  | 
| 1067 | /*++ | 
| 1068 | Function: | 
| 1069 |     scalbnf | 
| 1070 |  | 
| 1071 | See MSDN. | 
| 1072 | --*/ | 
| 1073 | PALIMPORT float __cdecl PAL_scalbnf(float x, int n) | 
| 1074 | { | 
| 1075 |     float ret; | 
| 1076 |     PERF_ENTRY(scalbnf); | 
| 1077 |     ENTRY("scalbnf (x=%f, n=%d)\n" , x, n); | 
| 1078 |  | 
| 1079 |     ret = scalbnf(x, n); | 
| 1080 |  | 
| 1081 |     LOGEXIT("scalbnf returns double %f\n" , ret); | 
| 1082 |     PERF_EXIT(scalbnf); | 
| 1083 |     return ret; | 
| 1084 | } | 
| 1085 |  |