| 1 | /* @(#)k_standard.c 5.1 93/09/24 */ |
| 2 | /* |
| 3 | * ==================================================== |
| 4 | * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
| 5 | * |
| 6 | * Developed at SunPro, a Sun Microsystems, Inc. business. |
| 7 | * Permission to use, copy, modify, and distribute this |
| 8 | * software is freely granted, provided that this notice |
| 9 | * is preserved. |
| 10 | * ==================================================== |
| 11 | */ |
| 12 | |
| 13 | #if defined(LIBM_SCCS) && !defined(lint) |
| 14 | static char rcsid[] = "$NetBSD: k_standard.c,v 1.6 1995/05/10 20:46:35 jtc Exp $" ; |
| 15 | #endif |
| 16 | |
| 17 | #include <math.h> |
| 18 | #include <math_private.h> |
| 19 | #include <errno.h> |
| 20 | |
| 21 | #include <assert.h> |
| 22 | |
| 23 | #ifndef _USE_WRITE |
| 24 | #include <stdio.h> /* fputs(), stderr */ |
| 25 | #define WRITE2(u,v) fputs(u, stderr) |
| 26 | #else /* !defined(_USE_WRITE) */ |
| 27 | #include <unistd.h> /* write */ |
| 28 | #define WRITE2(u,v) write(2, u, v) |
| 29 | #undef fflush |
| 30 | #endif /* !defined(_USE_WRITE) */ |
| 31 | |
| 32 | /* XXX gcc versions until now don't delay the 0.0/0.0 division until |
| 33 | runtime but produce NaN at compile time. This is wrong since the |
| 34 | exceptions are not set correctly. */ |
| 35 | #if 0 |
| 36 | static const double zero = 0.0; /* used as const */ |
| 37 | #else |
| 38 | static double zero = 0.0; /* used as const */ |
| 39 | #endif |
| 40 | |
| 41 | /* |
| 42 | * Standard conformance (non-IEEE) on exception cases. |
| 43 | * Mapping: |
| 44 | * 1 -- acos(|x|>1) |
| 45 | * 2 -- asin(|x|>1) |
| 46 | * 3 -- atan2(+-0,+-0) |
| 47 | * 4 -- hypot overflow |
| 48 | * 5 -- cosh overflow |
| 49 | * 6 -- exp overflow |
| 50 | * 7 -- exp underflow |
| 51 | * 8 -- y0(0) |
| 52 | * 9 -- y0(-ve) |
| 53 | * 10-- y1(0) |
| 54 | * 11-- y1(-ve) |
| 55 | * 12-- yn(0) |
| 56 | * 13-- yn(-ve) |
| 57 | * 14-- lgamma(finite) overflow |
| 58 | * 15-- lgamma(-integer) |
| 59 | * 16-- log(0) |
| 60 | * 17-- log(x<0) |
| 61 | * 18-- log10(0) |
| 62 | * 19-- log10(x<0) |
| 63 | * 21-- pow(x,y) overflow |
| 64 | * 22-- pow(x,y) underflow |
| 65 | * 23-- pow(0,negative) |
| 66 | * 24-- pow(neg,non-integral) |
| 67 | * 25-- sinh(finite) overflow |
| 68 | * 26-- sqrt(negative) |
| 69 | * 27-- fmod(x,0) |
| 70 | * 28-- remainder(x,0) |
| 71 | * 29-- acosh(x<1) |
| 72 | * 30-- atanh(|x|>1) |
| 73 | * 31-- atanh(|x|=1) |
| 74 | * 32-- scalb overflow |
| 75 | * 33-- scalb underflow |
| 76 | * 34-- j0(|x|>X_TLOSS) |
| 77 | * 35-- y0(x>X_TLOSS) |
| 78 | * 36-- j1(|x|>X_TLOSS) |
| 79 | * 37-- y1(x>X_TLOSS) |
| 80 | * 38-- jn(|x|>X_TLOSS, n) |
| 81 | * 39-- yn(x>X_TLOSS, n) |
| 82 | * 40-- tgamma(finite) overflow |
| 83 | * 41-- tgamma(-integer) |
| 84 | * 43-- +0**neg |
| 85 | * 44-- exp2 overflow |
| 86 | * 45-- exp2 underflow |
| 87 | * 46-- exp10 overflow |
| 88 | * 47-- exp10 underflow |
| 89 | * 48-- log2(0) |
| 90 | * 49-- log2(x<0) |
| 91 | * 50-- tgamma(+-0) |
| 92 | */ |
| 93 | |
| 94 | |
| 95 | double |
| 96 | __kernel_standard(double x, double y, int type) |
| 97 | { |
| 98 | struct exception exc; |
| 99 | #ifndef HUGE_VAL /* this is the only routine that uses HUGE_VAL */ |
| 100 | #define HUGE_VAL inf |
| 101 | double inf = 0.0; |
| 102 | |
| 103 | SET_HIGH_WORD(inf,0x7ff00000); /* set inf to infinite */ |
| 104 | #endif |
| 105 | |
| 106 | /* The SVID struct exception uses a field "char *name;". */ |
| 107 | #define CSTR(func) ((char *) (type < 100 \ |
| 108 | ? func \ |
| 109 | : (type < 200 ? func "f" : func "l"))) |
| 110 | |
| 111 | #ifdef _USE_WRITE |
| 112 | (void) fflush(stdout); |
| 113 | #endif |
| 114 | exc.arg1 = x; |
| 115 | exc.arg2 = y; |
| 116 | switch(type) { |
| 117 | case 1: |
| 118 | case 101: |
| 119 | case 201: |
| 120 | /* acos(|x|>1) */ |
| 121 | exc.type = DOMAIN; |
| 122 | exc.name = CSTR ("acos" ); |
| 123 | if (_LIB_VERSION == _SVID_) |
| 124 | exc.retval = HUGE; |
| 125 | else |
| 126 | exc.retval = NAN; |
| 127 | if (_LIB_VERSION == _POSIX_) |
| 128 | __set_errno (EDOM); |
| 129 | else if (!matherr(&exc)) { |
| 130 | if(_LIB_VERSION == _SVID_) { |
| 131 | (void) WRITE2("acos: DOMAIN error\n" , 19); |
| 132 | } |
| 133 | __set_errno (EDOM); |
| 134 | } |
| 135 | break; |
| 136 | case 2: |
| 137 | case 102: |
| 138 | case 202: |
| 139 | /* asin(|x|>1) */ |
| 140 | exc.type = DOMAIN; |
| 141 | exc.name = CSTR ("asin" ); |
| 142 | if (_LIB_VERSION == _SVID_) |
| 143 | exc.retval = HUGE; |
| 144 | else |
| 145 | exc.retval = NAN; |
| 146 | if(_LIB_VERSION == _POSIX_) |
| 147 | __set_errno (EDOM); |
| 148 | else if (!matherr(&exc)) { |
| 149 | if(_LIB_VERSION == _SVID_) { |
| 150 | (void) WRITE2("asin: DOMAIN error\n" , 19); |
| 151 | } |
| 152 | __set_errno (EDOM); |
| 153 | } |
| 154 | break; |
| 155 | case 3: |
| 156 | case 103: |
| 157 | case 203: |
| 158 | /* atan2(+-0,+-0) */ |
| 159 | exc.arg1 = y; |
| 160 | exc.arg2 = x; |
| 161 | exc.type = DOMAIN; |
| 162 | exc.name = CSTR ("atan2" ); |
| 163 | assert (_LIB_VERSION == _SVID_); |
| 164 | exc.retval = HUGE; |
| 165 | if(_LIB_VERSION == _POSIX_) |
| 166 | __set_errno (EDOM); |
| 167 | else if (!matherr(&exc)) { |
| 168 | if(_LIB_VERSION == _SVID_) { |
| 169 | (void) WRITE2("atan2: DOMAIN error\n" , 20); |
| 170 | } |
| 171 | __set_errno (EDOM); |
| 172 | } |
| 173 | break; |
| 174 | case 4: |
| 175 | case 104: |
| 176 | case 204: |
| 177 | /* hypot(finite,finite) overflow */ |
| 178 | exc.type = OVERFLOW; |
| 179 | exc.name = CSTR ("hypot" ); |
| 180 | if (_LIB_VERSION == _SVID_) |
| 181 | exc.retval = HUGE; |
| 182 | else |
| 183 | exc.retval = HUGE_VAL; |
| 184 | if (_LIB_VERSION == _POSIX_) |
| 185 | __set_errno (ERANGE); |
| 186 | else if (!matherr(&exc)) { |
| 187 | __set_errno (ERANGE); |
| 188 | } |
| 189 | break; |
| 190 | case 5: |
| 191 | case 105: |
| 192 | case 205: |
| 193 | /* cosh(finite) overflow */ |
| 194 | exc.type = OVERFLOW; |
| 195 | exc.name = CSTR ("cosh" ); |
| 196 | if (_LIB_VERSION == _SVID_) |
| 197 | exc.retval = HUGE; |
| 198 | else |
| 199 | exc.retval = HUGE_VAL; |
| 200 | if (_LIB_VERSION == _POSIX_) |
| 201 | __set_errno (ERANGE); |
| 202 | else if (!matherr(&exc)) { |
| 203 | __set_errno (ERANGE); |
| 204 | } |
| 205 | break; |
| 206 | case 6: |
| 207 | case 106: |
| 208 | case 206: |
| 209 | /* exp(finite) overflow */ |
| 210 | exc.type = OVERFLOW; |
| 211 | exc.name = CSTR ("exp" ); |
| 212 | if (_LIB_VERSION == _SVID_) |
| 213 | exc.retval = HUGE; |
| 214 | else |
| 215 | exc.retval = HUGE_VAL; |
| 216 | if (_LIB_VERSION == _POSIX_) |
| 217 | __set_errno (ERANGE); |
| 218 | else if (!matherr(&exc)) { |
| 219 | __set_errno (ERANGE); |
| 220 | } |
| 221 | break; |
| 222 | case 7: |
| 223 | case 107: |
| 224 | case 207: |
| 225 | /* exp(finite) underflow */ |
| 226 | exc.type = UNDERFLOW; |
| 227 | exc.name = CSTR ("exp" ); |
| 228 | exc.retval = zero; |
| 229 | if (_LIB_VERSION == _POSIX_) |
| 230 | __set_errno (ERANGE); |
| 231 | else if (!matherr(&exc)) { |
| 232 | __set_errno (ERANGE); |
| 233 | } |
| 234 | break; |
| 235 | case 8: |
| 236 | case 108: |
| 237 | case 208: |
| 238 | /* y0(0) = -inf */ |
| 239 | exc.type = DOMAIN; /* should be SING for IEEE */ |
| 240 | exc.name = CSTR ("y0" ); |
| 241 | if (_LIB_VERSION == _SVID_) |
| 242 | exc.retval = -HUGE; |
| 243 | else |
| 244 | exc.retval = -HUGE_VAL; |
| 245 | if (_LIB_VERSION == _POSIX_) |
| 246 | __set_errno (ERANGE); |
| 247 | else if (!matherr(&exc)) { |
| 248 | if (_LIB_VERSION == _SVID_) { |
| 249 | (void) WRITE2("y0: DOMAIN error\n" , 17); |
| 250 | } |
| 251 | __set_errno (EDOM); |
| 252 | } |
| 253 | break; |
| 254 | case 9: |
| 255 | case 109: |
| 256 | case 209: |
| 257 | /* y0(x<0) = NaN */ |
| 258 | exc.type = DOMAIN; |
| 259 | exc.name = CSTR ("y0" ); |
| 260 | if (_LIB_VERSION == _SVID_) |
| 261 | exc.retval = -HUGE; |
| 262 | else |
| 263 | exc.retval = NAN; |
| 264 | if (_LIB_VERSION == _POSIX_) |
| 265 | __set_errno (EDOM); |
| 266 | else if (!matherr(&exc)) { |
| 267 | if (_LIB_VERSION == _SVID_) { |
| 268 | (void) WRITE2("y0: DOMAIN error\n" , 17); |
| 269 | } |
| 270 | __set_errno (EDOM); |
| 271 | } |
| 272 | break; |
| 273 | case 10: |
| 274 | case 110: |
| 275 | case 210: |
| 276 | /* y1(0) = -inf */ |
| 277 | exc.type = DOMAIN; /* should be SING for IEEE */ |
| 278 | exc.name = CSTR ("y1" ); |
| 279 | if (_LIB_VERSION == _SVID_) |
| 280 | exc.retval = -HUGE; |
| 281 | else |
| 282 | exc.retval = -HUGE_VAL; |
| 283 | if (_LIB_VERSION == _POSIX_) |
| 284 | __set_errno (ERANGE); |
| 285 | else if (!matherr(&exc)) { |
| 286 | if (_LIB_VERSION == _SVID_) { |
| 287 | (void) WRITE2("y1: DOMAIN error\n" , 17); |
| 288 | } |
| 289 | __set_errno (EDOM); |
| 290 | } |
| 291 | break; |
| 292 | case 11: |
| 293 | case 111: |
| 294 | case 211: |
| 295 | /* y1(x<0) = NaN */ |
| 296 | exc.type = DOMAIN; |
| 297 | exc.name = CSTR ("y1" ); |
| 298 | if (_LIB_VERSION == _SVID_) |
| 299 | exc.retval = -HUGE; |
| 300 | else |
| 301 | exc.retval = NAN; |
| 302 | if (_LIB_VERSION == _POSIX_) |
| 303 | __set_errno (EDOM); |
| 304 | else if (!matherr(&exc)) { |
| 305 | if (_LIB_VERSION == _SVID_) { |
| 306 | (void) WRITE2("y1: DOMAIN error\n" , 17); |
| 307 | } |
| 308 | __set_errno (EDOM); |
| 309 | } |
| 310 | break; |
| 311 | case 12: |
| 312 | case 112: |
| 313 | case 212: |
| 314 | /* yn(n,0) = -inf */ |
| 315 | exc.type = DOMAIN; /* should be SING for IEEE */ |
| 316 | exc.name = CSTR ("yn" ); |
| 317 | if (_LIB_VERSION == _SVID_) |
| 318 | exc.retval = -HUGE; |
| 319 | else |
| 320 | exc.retval = ((x < 0 && ((int) x & 1) != 0) |
| 321 | ? HUGE_VAL |
| 322 | : -HUGE_VAL); |
| 323 | if (_LIB_VERSION == _POSIX_) |
| 324 | __set_errno (ERANGE); |
| 325 | else if (!matherr(&exc)) { |
| 326 | if (_LIB_VERSION == _SVID_) { |
| 327 | (void) WRITE2("yn: DOMAIN error\n" , 17); |
| 328 | } |
| 329 | __set_errno (EDOM); |
| 330 | } |
| 331 | break; |
| 332 | case 13: |
| 333 | case 113: |
| 334 | case 213: |
| 335 | /* yn(x<0) = NaN */ |
| 336 | exc.type = DOMAIN; |
| 337 | exc.name = CSTR ("yn" ); |
| 338 | if (_LIB_VERSION == _SVID_) |
| 339 | exc.retval = -HUGE; |
| 340 | else |
| 341 | exc.retval = NAN; |
| 342 | if (_LIB_VERSION == _POSIX_) |
| 343 | __set_errno (EDOM); |
| 344 | else if (!matherr(&exc)) { |
| 345 | if (_LIB_VERSION == _SVID_) { |
| 346 | (void) WRITE2("yn: DOMAIN error\n" , 17); |
| 347 | } |
| 348 | __set_errno (EDOM); |
| 349 | } |
| 350 | break; |
| 351 | case 14: |
| 352 | case 114: |
| 353 | case 214: |
| 354 | /* lgamma(finite) overflow */ |
| 355 | exc.type = OVERFLOW; |
| 356 | exc.name = CSTR ("lgamma" ); |
| 357 | if (_LIB_VERSION == _SVID_) |
| 358 | exc.retval = HUGE; |
| 359 | else |
| 360 | exc.retval = HUGE_VAL; |
| 361 | if (_LIB_VERSION == _POSIX_) |
| 362 | __set_errno (ERANGE); |
| 363 | else if (!matherr(&exc)) { |
| 364 | __set_errno (ERANGE); |
| 365 | } |
| 366 | break; |
| 367 | case 15: |
| 368 | case 115: |
| 369 | case 215: |
| 370 | /* lgamma(-integer) or lgamma(0) */ |
| 371 | exc.type = SING; |
| 372 | exc.name = CSTR ("lgamma" ); |
| 373 | if (_LIB_VERSION == _SVID_) |
| 374 | exc.retval = HUGE; |
| 375 | else |
| 376 | exc.retval = HUGE_VAL; |
| 377 | if (_LIB_VERSION == _POSIX_) |
| 378 | __set_errno (ERANGE); |
| 379 | else if (!matherr(&exc)) { |
| 380 | if (_LIB_VERSION == _SVID_) { |
| 381 | (void) WRITE2("lgamma: SING error\n" , 19); |
| 382 | } |
| 383 | __set_errno (EDOM); |
| 384 | } |
| 385 | break; |
| 386 | case 16: |
| 387 | case 116: |
| 388 | case 216: |
| 389 | /* log(0) */ |
| 390 | exc.type = SING; |
| 391 | exc.name = CSTR ("log" ); |
| 392 | if (_LIB_VERSION == _SVID_) |
| 393 | exc.retval = -HUGE; |
| 394 | else |
| 395 | exc.retval = -HUGE_VAL; |
| 396 | if (_LIB_VERSION == _POSIX_) |
| 397 | __set_errno (ERANGE); |
| 398 | else if (!matherr(&exc)) { |
| 399 | if (_LIB_VERSION == _SVID_) { |
| 400 | (void) WRITE2("log: SING error\n" , 16); |
| 401 | } |
| 402 | __set_errno (EDOM); |
| 403 | } |
| 404 | break; |
| 405 | case 17: |
| 406 | case 117: |
| 407 | case 217: |
| 408 | /* log(x<0) */ |
| 409 | exc.type = DOMAIN; |
| 410 | exc.name = CSTR ("log" ); |
| 411 | if (_LIB_VERSION == _SVID_) |
| 412 | exc.retval = -HUGE; |
| 413 | else |
| 414 | exc.retval = NAN; |
| 415 | if (_LIB_VERSION == _POSIX_) |
| 416 | __set_errno (EDOM); |
| 417 | else if (!matherr(&exc)) { |
| 418 | if (_LIB_VERSION == _SVID_) { |
| 419 | (void) WRITE2("log: DOMAIN error\n" , 18); |
| 420 | } |
| 421 | __set_errno (EDOM); |
| 422 | } |
| 423 | break; |
| 424 | case 18: |
| 425 | case 118: |
| 426 | case 218: |
| 427 | /* log10(0) */ |
| 428 | exc.type = SING; |
| 429 | exc.name = CSTR ("log10" ); |
| 430 | if (_LIB_VERSION == _SVID_) |
| 431 | exc.retval = -HUGE; |
| 432 | else |
| 433 | exc.retval = -HUGE_VAL; |
| 434 | if (_LIB_VERSION == _POSIX_) |
| 435 | __set_errno (ERANGE); |
| 436 | else if (!matherr(&exc)) { |
| 437 | if (_LIB_VERSION == _SVID_) { |
| 438 | (void) WRITE2("log10: SING error\n" , 18); |
| 439 | } |
| 440 | __set_errno (EDOM); |
| 441 | } |
| 442 | break; |
| 443 | case 19: |
| 444 | case 119: |
| 445 | case 219: |
| 446 | /* log10(x<0) */ |
| 447 | exc.type = DOMAIN; |
| 448 | exc.name = CSTR ("log10" ); |
| 449 | if (_LIB_VERSION == _SVID_) |
| 450 | exc.retval = -HUGE; |
| 451 | else |
| 452 | exc.retval = NAN; |
| 453 | if (_LIB_VERSION == _POSIX_) |
| 454 | __set_errno (EDOM); |
| 455 | else if (!matherr(&exc)) { |
| 456 | if (_LIB_VERSION == _SVID_) { |
| 457 | (void) WRITE2("log10: DOMAIN error\n" , 20); |
| 458 | } |
| 459 | __set_errno (EDOM); |
| 460 | } |
| 461 | break; |
| 462 | case 21: |
| 463 | case 121: |
| 464 | case 221: |
| 465 | /* pow(x,y) overflow */ |
| 466 | exc.type = OVERFLOW; |
| 467 | exc.name = CSTR ("pow" ); |
| 468 | if (_LIB_VERSION == _SVID_) { |
| 469 | exc.retval = HUGE; |
| 470 | y *= 0.5; |
| 471 | if(x<zero&&__rint(y)!=y) exc.retval = -HUGE; |
| 472 | } else { |
| 473 | exc.retval = HUGE_VAL; |
| 474 | y *= 0.5; |
| 475 | if(x<zero&&__rint(y)!=y) exc.retval = -HUGE_VAL; |
| 476 | } |
| 477 | if (_LIB_VERSION == _POSIX_) |
| 478 | __set_errno (ERANGE); |
| 479 | else if (!matherr(&exc)) { |
| 480 | __set_errno (ERANGE); |
| 481 | } |
| 482 | break; |
| 483 | case 22: |
| 484 | case 122: |
| 485 | case 222: |
| 486 | /* pow(x,y) underflow */ |
| 487 | exc.type = UNDERFLOW; |
| 488 | exc.name = CSTR ("pow" ); |
| 489 | exc.retval = zero; |
| 490 | y *= 0.5; |
| 491 | if (x < zero && __rint (y) != y) |
| 492 | exc.retval = -zero; |
| 493 | if (_LIB_VERSION == _POSIX_) |
| 494 | __set_errno (ERANGE); |
| 495 | else if (!matherr(&exc)) { |
| 496 | __set_errno (ERANGE); |
| 497 | } |
| 498 | break; |
| 499 | case 23: |
| 500 | case 123: |
| 501 | case 223: |
| 502 | /* -0**neg */ |
| 503 | exc.type = DOMAIN; |
| 504 | exc.name = CSTR ("pow" ); |
| 505 | if (_LIB_VERSION == _SVID_) |
| 506 | exc.retval = zero; |
| 507 | else |
| 508 | exc.retval = -HUGE_VAL; |
| 509 | if (_LIB_VERSION == _POSIX_) |
| 510 | __set_errno (ERANGE); |
| 511 | else if (!matherr(&exc)) { |
| 512 | if (_LIB_VERSION == _SVID_) { |
| 513 | (void) WRITE2("pow(0,neg): DOMAIN error\n" , 25); |
| 514 | } |
| 515 | __set_errno (EDOM); |
| 516 | } |
| 517 | break; |
| 518 | case 43: |
| 519 | case 143: |
| 520 | case 243: |
| 521 | /* +0**neg */ |
| 522 | exc.type = DOMAIN; |
| 523 | exc.name = CSTR ("pow" ); |
| 524 | if (_LIB_VERSION == _SVID_) |
| 525 | exc.retval = zero; |
| 526 | else |
| 527 | exc.retval = HUGE_VAL; |
| 528 | if (_LIB_VERSION == _POSIX_) |
| 529 | __set_errno (ERANGE); |
| 530 | else if (!matherr(&exc)) { |
| 531 | if (_LIB_VERSION == _SVID_) { |
| 532 | (void) WRITE2("pow(0,neg): DOMAIN error\n" , 25); |
| 533 | } |
| 534 | __set_errno (EDOM); |
| 535 | } |
| 536 | break; |
| 537 | case 24: |
| 538 | case 124: |
| 539 | case 224: |
| 540 | /* neg**non-integral */ |
| 541 | exc.type = DOMAIN; |
| 542 | exc.name = CSTR ("pow" ); |
| 543 | if (_LIB_VERSION == _SVID_) |
| 544 | exc.retval = zero; |
| 545 | else |
| 546 | exc.retval = zero/zero; /* X/Open allow NaN */ |
| 547 | if (_LIB_VERSION == _POSIX_) |
| 548 | __set_errno (EDOM); |
| 549 | else if (!matherr(&exc)) { |
| 550 | if (_LIB_VERSION == _SVID_) { |
| 551 | (void) WRITE2("neg**non-integral: DOMAIN error\n" , 32); |
| 552 | } |
| 553 | __set_errno (EDOM); |
| 554 | } |
| 555 | break; |
| 556 | case 25: |
| 557 | case 125: |
| 558 | case 225: |
| 559 | /* sinh(finite) overflow */ |
| 560 | exc.type = OVERFLOW; |
| 561 | exc.name = CSTR ("sinh" ); |
| 562 | if (_LIB_VERSION == _SVID_) |
| 563 | exc.retval = ( (x>zero) ? HUGE : -HUGE); |
| 564 | else |
| 565 | exc.retval = ( (x>zero) ? HUGE_VAL : -HUGE_VAL); |
| 566 | if (_LIB_VERSION == _POSIX_) |
| 567 | __set_errno (ERANGE); |
| 568 | else if (!matherr(&exc)) { |
| 569 | __set_errno (ERANGE); |
| 570 | } |
| 571 | break; |
| 572 | case 26: |
| 573 | case 126: |
| 574 | case 226: |
| 575 | /* sqrt(x<0) */ |
| 576 | exc.type = DOMAIN; |
| 577 | exc.name = CSTR ("sqrt" ); |
| 578 | if (_LIB_VERSION == _SVID_) |
| 579 | exc.retval = zero; |
| 580 | else |
| 581 | exc.retval = zero/zero; |
| 582 | if (_LIB_VERSION == _POSIX_) |
| 583 | __set_errno (EDOM); |
| 584 | else if (!matherr(&exc)) { |
| 585 | if (_LIB_VERSION == _SVID_) { |
| 586 | (void) WRITE2("sqrt: DOMAIN error\n" , 19); |
| 587 | } |
| 588 | __set_errno (EDOM); |
| 589 | } |
| 590 | break; |
| 591 | case 27: |
| 592 | case 127: |
| 593 | case 227: |
| 594 | /* fmod(x,0) */ |
| 595 | exc.type = DOMAIN; |
| 596 | exc.name = CSTR ("fmod" ); |
| 597 | if (_LIB_VERSION == _SVID_) |
| 598 | exc.retval = x; |
| 599 | else |
| 600 | exc.retval = zero/zero; |
| 601 | if (_LIB_VERSION == _POSIX_) |
| 602 | __set_errno (EDOM); |
| 603 | else if (!matherr(&exc)) { |
| 604 | if (_LIB_VERSION == _SVID_) { |
| 605 | (void) WRITE2("fmod: DOMAIN error\n" , 20); |
| 606 | } |
| 607 | __set_errno (EDOM); |
| 608 | } |
| 609 | break; |
| 610 | case 28: |
| 611 | case 128: |
| 612 | case 228: |
| 613 | /* remainder(x,0) */ |
| 614 | exc.type = DOMAIN; |
| 615 | exc.name = CSTR ("remainder" ); |
| 616 | exc.retval = zero/zero; |
| 617 | if (_LIB_VERSION == _POSIX_) |
| 618 | __set_errno (EDOM); |
| 619 | else if (!matherr(&exc)) { |
| 620 | if (_LIB_VERSION == _SVID_) { |
| 621 | (void) WRITE2("remainder: DOMAIN error\n" , 24); |
| 622 | } |
| 623 | __set_errno (EDOM); |
| 624 | } |
| 625 | break; |
| 626 | case 29: |
| 627 | case 129: |
| 628 | case 229: |
| 629 | /* acosh(x<1) */ |
| 630 | exc.type = DOMAIN; |
| 631 | exc.name = CSTR ("acosh" ); |
| 632 | exc.retval = zero/zero; |
| 633 | if (_LIB_VERSION == _POSIX_) |
| 634 | __set_errno (EDOM); |
| 635 | else if (!matherr(&exc)) { |
| 636 | if (_LIB_VERSION == _SVID_) { |
| 637 | (void) WRITE2("acosh: DOMAIN error\n" , 20); |
| 638 | } |
| 639 | __set_errno (EDOM); |
| 640 | } |
| 641 | break; |
| 642 | case 30: |
| 643 | case 130: |
| 644 | case 230: |
| 645 | /* atanh(|x|>1) */ |
| 646 | exc.type = DOMAIN; |
| 647 | exc.name = CSTR ("atanh" ); |
| 648 | exc.retval = zero/zero; |
| 649 | if (_LIB_VERSION == _POSIX_) |
| 650 | __set_errno (EDOM); |
| 651 | else if (!matherr(&exc)) { |
| 652 | if (_LIB_VERSION == _SVID_) { |
| 653 | (void) WRITE2("atanh: DOMAIN error\n" , 20); |
| 654 | } |
| 655 | __set_errno (EDOM); |
| 656 | } |
| 657 | break; |
| 658 | case 31: |
| 659 | case 131: |
| 660 | case 231: |
| 661 | /* atanh(|x|=1) */ |
| 662 | exc.type = SING; |
| 663 | exc.name = CSTR ("atanh" ); |
| 664 | exc.retval = x/zero; /* sign(x)*inf */ |
| 665 | if (_LIB_VERSION == _POSIX_) |
| 666 | __set_errno (ERANGE); |
| 667 | else if (!matherr(&exc)) { |
| 668 | if (_LIB_VERSION == _SVID_) { |
| 669 | (void) WRITE2("atanh: SING error\n" , 18); |
| 670 | } |
| 671 | __set_errno (EDOM); |
| 672 | } |
| 673 | break; |
| 674 | case 32: |
| 675 | case 132: |
| 676 | case 232: |
| 677 | /* scalb overflow; SVID also returns +-HUGE_VAL */ |
| 678 | exc.type = OVERFLOW; |
| 679 | exc.name = CSTR ("scalb" ); |
| 680 | exc.retval = x > zero ? HUGE_VAL : -HUGE_VAL; |
| 681 | if (_LIB_VERSION == _POSIX_) |
| 682 | __set_errno (ERANGE); |
| 683 | else if (!matherr(&exc)) { |
| 684 | __set_errno (ERANGE); |
| 685 | } |
| 686 | break; |
| 687 | case 33: |
| 688 | case 133: |
| 689 | case 233: |
| 690 | /* scalb underflow */ |
| 691 | exc.type = UNDERFLOW; |
| 692 | exc.name = CSTR ("scalb" ); |
| 693 | exc.retval = __copysign(zero,x); |
| 694 | if (_LIB_VERSION == _POSIX_) |
| 695 | __set_errno (ERANGE); |
| 696 | else if (!matherr(&exc)) { |
| 697 | __set_errno (ERANGE); |
| 698 | } |
| 699 | break; |
| 700 | case 34: |
| 701 | case 134: |
| 702 | case 234: |
| 703 | /* j0(|x|>X_TLOSS) */ |
| 704 | exc.type = TLOSS; |
| 705 | exc.name = CSTR ("j0" ); |
| 706 | exc.retval = zero; |
| 707 | if (_LIB_VERSION == _POSIX_) |
| 708 | __set_errno (ERANGE); |
| 709 | else if (!matherr(&exc)) { |
| 710 | if (_LIB_VERSION == _SVID_) { |
| 711 | (void) WRITE2(exc.name, 2); |
| 712 | (void) WRITE2(": TLOSS error\n" , 14); |
| 713 | } |
| 714 | __set_errno (ERANGE); |
| 715 | } |
| 716 | break; |
| 717 | case 35: |
| 718 | case 135: |
| 719 | case 235: |
| 720 | /* y0(x>X_TLOSS) */ |
| 721 | exc.type = TLOSS; |
| 722 | exc.name = CSTR ("y0" ); |
| 723 | exc.retval = zero; |
| 724 | if (_LIB_VERSION == _POSIX_) |
| 725 | __set_errno (ERANGE); |
| 726 | else if (!matherr(&exc)) { |
| 727 | if (_LIB_VERSION == _SVID_) { |
| 728 | (void) WRITE2(exc.name, 2); |
| 729 | (void) WRITE2(": TLOSS error\n" , 14); |
| 730 | } |
| 731 | __set_errno (ERANGE); |
| 732 | } |
| 733 | break; |
| 734 | case 36: |
| 735 | case 136: |
| 736 | case 236: |
| 737 | /* j1(|x|>X_TLOSS) */ |
| 738 | exc.type = TLOSS; |
| 739 | exc.name = CSTR ("j1" ); |
| 740 | exc.retval = zero; |
| 741 | if (_LIB_VERSION == _POSIX_) |
| 742 | __set_errno (ERANGE); |
| 743 | else if (!matherr(&exc)) { |
| 744 | if (_LIB_VERSION == _SVID_) { |
| 745 | (void) WRITE2(exc.name, 2); |
| 746 | (void) WRITE2(": TLOSS error\n" , 14); |
| 747 | } |
| 748 | __set_errno (ERANGE); |
| 749 | } |
| 750 | break; |
| 751 | case 37: |
| 752 | case 137: |
| 753 | case 237: |
| 754 | /* y1(x>X_TLOSS) */ |
| 755 | exc.type = TLOSS; |
| 756 | exc.name = CSTR ("y1" ); |
| 757 | exc.retval = zero; |
| 758 | if (_LIB_VERSION == _POSIX_) |
| 759 | __set_errno (ERANGE); |
| 760 | else if (!matherr(&exc)) { |
| 761 | if (_LIB_VERSION == _SVID_) { |
| 762 | (void) WRITE2(exc.name, 2); |
| 763 | (void) WRITE2(": TLOSS error\n" , 14); |
| 764 | } |
| 765 | __set_errno (ERANGE); |
| 766 | } |
| 767 | break; |
| 768 | case 38: |
| 769 | case 138: |
| 770 | case 238: |
| 771 | /* jn(|x|>X_TLOSS) */ |
| 772 | exc.type = TLOSS; |
| 773 | exc.name = CSTR ("jn" ); |
| 774 | exc.retval = zero; |
| 775 | if (_LIB_VERSION == _POSIX_) |
| 776 | __set_errno (ERANGE); |
| 777 | else if (!matherr(&exc)) { |
| 778 | if (_LIB_VERSION == _SVID_) { |
| 779 | (void) WRITE2(exc.name, 2); |
| 780 | (void) WRITE2(": TLOSS error\n" , 14); |
| 781 | } |
| 782 | __set_errno (ERANGE); |
| 783 | } |
| 784 | break; |
| 785 | case 39: |
| 786 | case 139: |
| 787 | case 239: |
| 788 | /* yn(x>X_TLOSS) */ |
| 789 | exc.type = TLOSS; |
| 790 | exc.name = CSTR ("yn" ); |
| 791 | exc.retval = zero; |
| 792 | if (_LIB_VERSION == _POSIX_) |
| 793 | __set_errno (ERANGE); |
| 794 | else if (!matherr(&exc)) { |
| 795 | if (_LIB_VERSION == _SVID_) { |
| 796 | (void) WRITE2(exc.name, 2); |
| 797 | (void) WRITE2(": TLOSS error\n" , 14); |
| 798 | } |
| 799 | __set_errno (ERANGE); |
| 800 | } |
| 801 | break; |
| 802 | case 40: |
| 803 | case 140: |
| 804 | case 240: |
| 805 | /* tgamma(finite) overflow */ |
| 806 | exc.type = OVERFLOW; |
| 807 | exc.name = CSTR ("tgamma" ); |
| 808 | exc.retval = __copysign (HUGE_VAL, x); |
| 809 | if (_LIB_VERSION == _POSIX_) |
| 810 | __set_errno (ERANGE); |
| 811 | else if (!matherr(&exc)) { |
| 812 | __set_errno (ERANGE); |
| 813 | } |
| 814 | break; |
| 815 | case 41: |
| 816 | case 141: |
| 817 | case 241: |
| 818 | /* tgamma(-integer) */ |
| 819 | exc.type = SING; |
| 820 | exc.name = CSTR ("tgamma" ); |
| 821 | exc.retval = NAN; |
| 822 | if (_LIB_VERSION == _POSIX_) |
| 823 | __set_errno (EDOM); |
| 824 | else if (!matherr(&exc)) { |
| 825 | if (_LIB_VERSION == _SVID_) { |
| 826 | (void) WRITE2("tgamma: SING error\n" , 18); |
| 827 | exc.retval = HUGE_VAL; |
| 828 | } |
| 829 | __set_errno (EDOM); |
| 830 | } |
| 831 | break; |
| 832 | |
| 833 | case 44: |
| 834 | case 144: |
| 835 | case 244: |
| 836 | /* exp(finite) overflow */ |
| 837 | exc.type = OVERFLOW; |
| 838 | exc.name = CSTR ("exp2" ); |
| 839 | if (_LIB_VERSION == _SVID_) |
| 840 | exc.retval = HUGE; |
| 841 | else |
| 842 | exc.retval = HUGE_VAL; |
| 843 | if (_LIB_VERSION == _POSIX_) |
| 844 | __set_errno (ERANGE); |
| 845 | else if (!matherr(&exc)) { |
| 846 | __set_errno (ERANGE); |
| 847 | } |
| 848 | break; |
| 849 | case 45: |
| 850 | case 145: |
| 851 | case 245: |
| 852 | /* exp(finite) underflow */ |
| 853 | exc.type = UNDERFLOW; |
| 854 | exc.name = CSTR ("exp2" ); |
| 855 | exc.retval = zero; |
| 856 | if (_LIB_VERSION == _POSIX_) |
| 857 | __set_errno (ERANGE); |
| 858 | else if (!matherr(&exc)) { |
| 859 | __set_errno (ERANGE); |
| 860 | } |
| 861 | break; |
| 862 | |
| 863 | case 46: |
| 864 | case 146: |
| 865 | case 246: |
| 866 | /* exp(finite) overflow */ |
| 867 | exc.type = OVERFLOW; |
| 868 | exc.name = CSTR ("exp10" ); |
| 869 | if (_LIB_VERSION == _SVID_) |
| 870 | exc.retval = HUGE; |
| 871 | else |
| 872 | exc.retval = HUGE_VAL; |
| 873 | if (_LIB_VERSION == _POSIX_) |
| 874 | __set_errno (ERANGE); |
| 875 | else if (!matherr(&exc)) { |
| 876 | __set_errno (ERANGE); |
| 877 | } |
| 878 | break; |
| 879 | case 47: |
| 880 | case 147: |
| 881 | case 247: |
| 882 | /* exp(finite) underflow */ |
| 883 | exc.type = UNDERFLOW; |
| 884 | exc.name = CSTR ("exp10" ); |
| 885 | exc.retval = zero; |
| 886 | if (_LIB_VERSION == _POSIX_) |
| 887 | __set_errno (ERANGE); |
| 888 | else if (!matherr(&exc)) { |
| 889 | __set_errno (ERANGE); |
| 890 | } |
| 891 | break; |
| 892 | case 48: |
| 893 | case 148: |
| 894 | case 248: |
| 895 | /* log2(0) */ |
| 896 | exc.type = SING; |
| 897 | exc.name = CSTR ("log2" ); |
| 898 | if (_LIB_VERSION == _SVID_) |
| 899 | exc.retval = -HUGE; |
| 900 | else |
| 901 | exc.retval = -HUGE_VAL; |
| 902 | if (_LIB_VERSION == _POSIX_) |
| 903 | __set_errno (ERANGE); |
| 904 | else if (!matherr(&exc)) { |
| 905 | __set_errno (EDOM); |
| 906 | } |
| 907 | break; |
| 908 | case 49: |
| 909 | case 149: |
| 910 | case 249: |
| 911 | /* log2(x<0) */ |
| 912 | exc.type = DOMAIN; |
| 913 | exc.name = CSTR ("log2" ); |
| 914 | if (_LIB_VERSION == _SVID_) |
| 915 | exc.retval = -HUGE; |
| 916 | else |
| 917 | exc.retval = NAN; |
| 918 | if (_LIB_VERSION == _POSIX_) |
| 919 | __set_errno (EDOM); |
| 920 | else if (!matherr(&exc)) { |
| 921 | __set_errno (EDOM); |
| 922 | } |
| 923 | break; |
| 924 | case 50: |
| 925 | case 150: |
| 926 | case 250: |
| 927 | /* tgamma(+-0) */ |
| 928 | exc.type = SING; |
| 929 | exc.name = CSTR ("tgamma" ); |
| 930 | exc.retval = __copysign (HUGE_VAL, x); |
| 931 | if (_LIB_VERSION == _POSIX_) |
| 932 | __set_errno (ERANGE); |
| 933 | else if (!matherr(&exc)) { |
| 934 | if (_LIB_VERSION == _SVID_) |
| 935 | (void) WRITE2("tgamma: SING error\n" , 18); |
| 936 | __set_errno (ERANGE); |
| 937 | } |
| 938 | break; |
| 939 | |
| 940 | /* #### Last used is 50/150/250 ### */ |
| 941 | } |
| 942 | return exc.retval; |
| 943 | } |
| 944 | |