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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 | /* single and double precision fp ops * missing extended precision. */ /* * MIPS floating point support * Copyright (C) 1994-2000 Algorithmics Ltd. All rights reserved. * http://www.algor.co.uk * * ######################################################################## * * This program is free software; you can distribute it and/or modify it * under the terms of the GNU General Public License (Version 2) as * published by the Free Software Foundation. * * This program is distributed in the hope it will be useful, but WITHOUT * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or * FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License * for more details. * * You should have received a copy of the GNU General Public License along * with this program; if not, write to the Free Software Foundation, Inc., * 59 Temple Place - Suite 330, Boston MA 02111-1307, USA. * * ######################################################################## */ /************************************************************************** * Nov 7, 2000 * Modification to allow integration with Linux kernel * * Kevin D. Kissell, kevink@mips.com and Carsten Langgard, carstenl@mips.com * Copyright (C) 2000 MIPS Technologies, Inc. All rights reserved. *************************************************************************/ #ifdef __KERNEL__ /* Going from Algorithmics to Linux native environment, add this */ #include <linux/types.h> /* * Not very pretty, but the Linux kernel's normal va_list definition * does not allow it to be used as a structure element, as it is here. */ #ifndef _STDARG_H #include <stdarg.h> #endif #else /* Note that __KERNEL__ is taken to mean Linux kernel */ #if #system(OpenBSD) #include <machine/types.h> #endif #include <machine/endian.h> #endif /* __KERNEL__ */ #if (defined(BYTE_ORDER) && BYTE_ORDER == LITTLE_ENDIAN) || defined(__MIPSEL__) struct ieee754dp_konst { unsigned mantlo:32; unsigned manthi:20; unsigned bexp:11; unsigned sign:1; }; struct ieee754sp_konst { unsigned mant:23; unsigned bexp:8; unsigned sign:1; }; typedef union _ieee754dp { struct ieee754dp_konst oparts; struct { unsigned long long mant:52; unsigned int bexp:11; unsigned int sign:1; } parts; unsigned long long bits; double d; } ieee754dp; typedef union _ieee754sp { struct ieee754sp_konst parts; float f; unsigned long bits; } ieee754sp; #endif #if (defined(BYTE_ORDER) && BYTE_ORDER == BIG_ENDIAN) || defined(__MIPSEB__) struct ieee754dp_konst { unsigned sign:1; unsigned bexp:11; unsigned manthi:20; unsigned mantlo:32; }; typedef union _ieee754dp { struct ieee754dp_konst oparts; struct { unsigned int sign:1; unsigned int bexp:11; unsigned long long mant:52; } parts; double d; unsigned long long bits; } ieee754dp; struct ieee754sp_konst { unsigned sign:1; unsigned bexp:8; unsigned mant:23; }; typedef union _ieee754sp { struct ieee754sp_konst parts; float f; unsigned long bits; } ieee754sp; #endif /* * single precision (often aka float) */ int ieee754sp_finite(ieee754sp x); int ieee754sp_class(ieee754sp x); ieee754sp ieee754sp_abs(ieee754sp x); ieee754sp ieee754sp_neg(ieee754sp x); ieee754sp ieee754sp_scalb(ieee754sp x, int); ieee754sp ieee754sp_logb(ieee754sp x); /* x with sign of y */ ieee754sp ieee754sp_copysign(ieee754sp x, ieee754sp y); ieee754sp ieee754sp_add(ieee754sp x, ieee754sp y); ieee754sp ieee754sp_sub(ieee754sp x, ieee754sp y); ieee754sp ieee754sp_mul(ieee754sp x, ieee754sp y); ieee754sp ieee754sp_div(ieee754sp x, ieee754sp y); ieee754sp ieee754sp_fint(int x); ieee754sp ieee754sp_funs(unsigned x); ieee754sp ieee754sp_flong(long long x); ieee754sp ieee754sp_fulong(unsigned long long x); ieee754sp ieee754sp_fdp(ieee754dp x); int ieee754sp_tint(ieee754sp x); unsigned int ieee754sp_tuns(ieee754sp x); long long ieee754sp_tlong(ieee754sp x); unsigned long long ieee754sp_tulong(ieee754sp x); int ieee754sp_cmp(ieee754sp x, ieee754sp y, int cop); /* * basic sp math */ ieee754sp ieee754sp_modf(ieee754sp x, ieee754sp * ip); ieee754sp ieee754sp_frexp(ieee754sp x, int *exp); ieee754sp ieee754sp_ldexp(ieee754sp x, int exp); ieee754sp ieee754sp_ceil(ieee754sp x); ieee754sp ieee754sp_floor(ieee754sp x); ieee754sp ieee754sp_trunc(ieee754sp x); ieee754sp ieee754sp_sqrt(ieee754sp x); /* * double precision (often aka double) */ int ieee754dp_finite(ieee754dp x); int ieee754dp_class(ieee754dp x); /* x with sign of y */ ieee754dp ieee754dp_copysign(ieee754dp x, ieee754dp y); ieee754dp ieee754dp_add(ieee754dp x, ieee754dp y); ieee754dp ieee754dp_sub(ieee754dp x, ieee754dp y); ieee754dp ieee754dp_mul(ieee754dp x, ieee754dp y); ieee754dp ieee754dp_div(ieee754dp x, ieee754dp y); ieee754dp ieee754dp_abs(ieee754dp x); ieee754dp ieee754dp_neg(ieee754dp x); ieee754dp ieee754dp_scalb(ieee754dp x, int); /* return exponent as integer in floating point format */ ieee754dp ieee754dp_logb(ieee754dp x); ieee754dp ieee754dp_fint(int x); ieee754dp ieee754dp_funs(unsigned x); ieee754dp ieee754dp_flong(long long x); ieee754dp ieee754dp_fulong(unsigned long long x); ieee754dp ieee754dp_fsp(ieee754sp x); ieee754dp ieee754dp_ceil(ieee754dp x); ieee754dp ieee754dp_floor(ieee754dp x); ieee754dp ieee754dp_trunc(ieee754dp x); int ieee754dp_tint(ieee754dp x); unsigned int ieee754dp_tuns(ieee754dp x); long long ieee754dp_tlong(ieee754dp x); unsigned long long ieee754dp_tulong(ieee754dp x); int ieee754dp_cmp(ieee754dp x, ieee754dp y, int cop); /* * basic sp math */ ieee754dp ieee754dp_modf(ieee754dp x, ieee754dp * ip); ieee754dp ieee754dp_frexp(ieee754dp x, int *exp); ieee754dp ieee754dp_ldexp(ieee754dp x, int exp); ieee754dp ieee754dp_ceil(ieee754dp x); ieee754dp ieee754dp_floor(ieee754dp x); ieee754dp ieee754dp_trunc(ieee754dp x); ieee754dp ieee754dp_sqrt(ieee754dp x); /* 5 types of floating point number */ #define IEEE754_CLASS_NORM 0x00 #define IEEE754_CLASS_ZERO 0x01 #define IEEE754_CLASS_DNORM 0x02 #define IEEE754_CLASS_INF 0x03 #define IEEE754_CLASS_SNAN 0x04 #define IEEE754_CLASS_QNAN 0x05 extern const char *const ieee754_cname[]; /* exception numbers */ #define IEEE754_INEXACT 0x01 #define IEEE754_UNDERFLOW 0x02 #define IEEE754_OVERFLOW 0x04 #define IEEE754_ZERO_DIVIDE 0x08 #define IEEE754_INVALID_OPERATION 0x10 /* cmp operators */ #define IEEE754_CLT 0x01 #define IEEE754_CEQ 0x02 #define IEEE754_CGT 0x04 #define IEEE754_CUN 0x08 /* rounding mode */ #define IEEE754_RN 0 /* round to nearest */ #define IEEE754_RZ 1 /* round toward zero */ #define IEEE754_RD 2 /* round toward -Infinity */ #define IEEE754_RU 3 /* round toward +Infinity */ /* other naming */ #define IEEE754_RM IEEE754_RD #define IEEE754_RP IEEE754_RU /* "normal" comparisons */ static __inline int ieee754sp_eq(ieee754sp x, ieee754sp y) { return ieee754sp_cmp(x, y, IEEE754_CEQ); } static __inline int ieee754sp_ne(ieee754sp x, ieee754sp y) { return ieee754sp_cmp(x, y, IEEE754_CLT | IEEE754_CGT | IEEE754_CUN); } static __inline int ieee754sp_lt(ieee754sp x, ieee754sp y) { return ieee754sp_cmp(x, y, IEEE754_CLT); } static __inline int ieee754sp_le(ieee754sp x, ieee754sp y) { return ieee754sp_cmp(x, y, IEEE754_CLT | IEEE754_CEQ); } static __inline int ieee754sp_gt(ieee754sp x, ieee754sp y) { return ieee754sp_cmp(x, y, IEEE754_CGT); } static __inline int ieee754sp_ge(ieee754sp x, ieee754sp y) { return ieee754sp_cmp(x, y, IEEE754_CGT | IEEE754_CEQ); } static __inline int ieee754dp_eq(ieee754dp x, ieee754dp y) { return ieee754dp_cmp(x, y, IEEE754_CEQ); } static __inline int ieee754dp_ne(ieee754dp x, ieee754dp y) { return ieee754dp_cmp(x, y, IEEE754_CLT | IEEE754_CGT | IEEE754_CUN); } static __inline int ieee754dp_lt(ieee754dp x, ieee754dp y) { return ieee754dp_cmp(x, y, IEEE754_CLT); } static __inline int ieee754dp_le(ieee754dp x, ieee754dp y) { return ieee754dp_cmp(x, y, IEEE754_CLT | IEEE754_CEQ); } static __inline int ieee754dp_gt(ieee754dp x, ieee754dp y) { return ieee754dp_cmp(x, y, IEEE754_CGT); } static __inline int ieee754dp_ge(ieee754dp x, ieee754dp y) { return ieee754dp_cmp(x, y, IEEE754_CGT | IEEE754_CEQ); } /* like strtod */ ieee754dp ieee754dp_fstr(const char *s, char **endp); char *ieee754dp_tstr(ieee754dp x, int prec, int fmt, int af); /* the control status register */ struct ieee754_csr { unsigned pad:13; unsigned noq:1; /* set 1 for no quiet NaN's */ unsigned nod:1; /* set 1 for no denormalised numbers */ unsigned cx:5; /* exceptions this operation */ unsigned mx:5; /* exception enable mask */ unsigned sx:5; /* exceptions total */ unsigned rm:2; /* current rounding mode */ }; extern struct ieee754_csr ieee754_csr; static __inline unsigned ieee754_getrm(void) { return (ieee754_csr.rm); } static __inline unsigned ieee754_setrm(unsigned rm) { return (ieee754_csr.rm = rm); } /* * get current exceptions */ static __inline unsigned ieee754_getcx(void) { return (ieee754_csr.cx); } /* test for current exception condition */ static __inline int ieee754_cxtest(unsigned n) { return (ieee754_csr.cx & n); } /* * get sticky exceptions */ static __inline unsigned ieee754_getsx(void) { return (ieee754_csr.sx); } /* clear sticky conditions */ static __inline unsigned ieee754_clrsx(void) { return (ieee754_csr.sx = 0); } /* test for sticky exception condition */ static __inline int ieee754_sxtest(unsigned n) { return (ieee754_csr.sx & n); } /* debugging */ ieee754sp ieee754sp_dump(char *s, ieee754sp x); ieee754dp ieee754dp_dump(char *s, ieee754dp x); #define IEEE754_SPCVAL_PZERO 0 #define IEEE754_SPCVAL_NZERO 1 #define IEEE754_SPCVAL_PONE 2 #define IEEE754_SPCVAL_NONE 3 #define IEEE754_SPCVAL_PTEN 4 #define IEEE754_SPCVAL_NTEN 5 #define IEEE754_SPCVAL_PINFINITY 6 #define IEEE754_SPCVAL_NINFINITY 7 #define IEEE754_SPCVAL_INDEF 8 #define IEEE754_SPCVAL_PMAX 9 /* +max norm */ #define IEEE754_SPCVAL_NMAX 10 /* -max norm */ #define IEEE754_SPCVAL_PMIN 11 /* +min norm */ #define IEEE754_SPCVAL_NMIN 12 /* +min norm */ #define IEEE754_SPCVAL_PMIND 13 /* +min denorm */ #define IEEE754_SPCVAL_NMIND 14 /* +min denorm */ #define IEEE754_SPCVAL_P1E31 15 /* + 1.0e31 */ #define IEEE754_SPCVAL_P1E63 16 /* + 1.0e63 */ extern const struct ieee754dp_konst __ieee754dp_spcvals[]; extern const struct ieee754sp_konst __ieee754sp_spcvals[]; #define ieee754dp_spcvals ((const ieee754dp *)__ieee754dp_spcvals) #define ieee754sp_spcvals ((const ieee754sp *)__ieee754sp_spcvals) /* return infinity with given sign */ #define ieee754dp_inf(sn) \ (ieee754dp_spcvals[IEEE754_SPCVAL_PINFINITY+(sn)]) #define ieee754dp_zero(sn) \ (ieee754dp_spcvals[IEEE754_SPCVAL_PZERO+(sn)]) #define ieee754dp_one(sn) \ (ieee754dp_spcvals[IEEE754_SPCVAL_PONE+(sn)]) #define ieee754dp_ten(sn) \ (ieee754dp_spcvals[IEEE754_SPCVAL_PTEN+(sn)]) #define ieee754dp_indef() \ (ieee754dp_spcvals[IEEE754_SPCVAL_INDEF]) #define ieee754dp_max(sn) \ (ieee754dp_spcvals[IEEE754_SPCVAL_PMAX+(sn)]) #define ieee754dp_min(sn) \ (ieee754dp_spcvals[IEEE754_SPCVAL_PMIN+(sn)]) #define ieee754dp_mind(sn) \ (ieee754dp_spcvals[IEEE754_SPCVAL_PMIND+(sn)]) #define ieee754dp_1e31() \ (ieee754dp_spcvals[IEEE754_SPCVAL_P1E31]) #define ieee754dp_1e63() \ (ieee754dp_spcvals[IEEE754_SPCVAL_P1E63]) #define ieee754sp_inf(sn) \ (ieee754sp_spcvals[IEEE754_SPCVAL_PINFINITY+(sn)]) #define ieee754sp_zero(sn) \ (ieee754sp_spcvals[IEEE754_SPCVAL_PZERO+(sn)]) #define ieee754sp_one(sn) \ (ieee754sp_spcvals[IEEE754_SPCVAL_PONE+(sn)]) #define ieee754sp_ten(sn) \ (ieee754sp_spcvals[IEEE754_SPCVAL_PTEN+(sn)]) #define ieee754sp_indef() \ (ieee754sp_spcvals[IEEE754_SPCVAL_INDEF]) #define ieee754sp_max(sn) \ (ieee754sp_spcvals[IEEE754_SPCVAL_PMAX+(sn)]) #define ieee754sp_min(sn) \ (ieee754sp_spcvals[IEEE754_SPCVAL_PMIN+(sn)]) #define ieee754sp_mind(sn) \ (ieee754sp_spcvals[IEEE754_SPCVAL_PMIND+(sn)]) #define ieee754sp_1e31() \ (ieee754sp_spcvals[IEEE754_SPCVAL_P1E31]) #define ieee754sp_1e63() \ (ieee754sp_spcvals[IEEE754_SPCVAL_P1E63]) /* indefinite integer value */ #define ieee754si_indef() INT_MIN #ifdef LONG_LONG_MIN #define ieee754di_indef() LONG_LONG_MIN #else #define ieee754di_indef() (-9223372036854775807LL-1) #endif /* IEEE exception context, passed to handler */ struct ieee754xctx { const char *op; /* operation name */ int rt; /* result type */ union { ieee754sp sp; /* single precision */ ieee754dp dp; /* double precision */ #ifdef IEEE854_XP ieee754xp xp; /* extended precision */ #endif int si; /* standard signed integer (32bits) */ long long di; /* extended signed integer (64bits) */ } rv; /* default result format implied by op */ va_list ap; }; /* result types for xctx.rt */ #define IEEE754_RT_SP 0 #define IEEE754_RT_DP 1 #define IEEE754_RT_XP 2 #define IEEE754_RT_SI 3 #define IEEE754_RT_DI 4 extern void ieee754_xcpt(struct ieee754xctx *xcp); /* compat */ #define ieee754dp_fix(x) ieee754dp_tint(x) #define ieee754sp_fix(x) ieee754sp_tint(x) |