Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 1 | /* |
| 2 | * Linux/PA-RISC Project (http://www.parisc-linux.org/) |
| 3 | * |
| 4 | * Floating-point emulation code |
| 5 | * Copyright (C) 2001 Hewlett-Packard (Paul Bame) <bame@debian.org> |
| 6 | * |
| 7 | * This program is free software; you can redistribute it and/or modify |
| 8 | * it under the terms of the GNU General Public License as published by |
| 9 | * the Free Software Foundation; either version 2, or (at your option) |
| 10 | * any later version. |
| 11 | * |
| 12 | * This program is distributed in the hope that it will be useful, |
| 13 | * but WITHOUT ANY WARRANTY; without even the implied warranty of |
| 14 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
| 15 | * GNU General Public License for more details. |
| 16 | * |
| 17 | * You should have received a copy of the GNU General Public License |
| 18 | * along with this program; if not, write to the Free Software |
| 19 | * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA |
| 20 | */ |
| 21 | |
| 22 | #ifdef __NO_PA_HDRS |
| 23 | PA header file -- do not include this header file for non-PA builds. |
| 24 | #endif |
| 25 | |
| 26 | /* |
| 27 | * Some more constants |
| 28 | */ |
| 29 | #define SGL_FX_MAX_EXP 30 |
| 30 | #define DBL_FX_MAX_EXP 62 |
| 31 | #define QUAD_FX_MAX_EXP 126 |
| 32 | |
| 33 | #define Dintp1(object) (object) |
| 34 | #define Dintp2(object) (object) |
| 35 | |
| 36 | #define Duintp1(object) (object) |
| 37 | #define Duintp2(object) (object) |
| 38 | |
| 39 | #define Qintp0(object) (object) |
| 40 | #define Qintp1(object) (object) |
| 41 | #define Qintp2(object) (object) |
| 42 | #define Qintp3(object) (object) |
| 43 | |
| 44 | |
| 45 | /* |
| 46 | * These macros will be used specifically by the convert instructions. |
| 47 | * |
| 48 | * |
| 49 | * Single format macros |
| 50 | */ |
| 51 | |
| 52 | #define Sgl_to_dbl_exponent(src_exponent,dest) \ |
| 53 | Deposit_dexponent(dest,src_exponent+(DBL_BIAS-SGL_BIAS)) |
| 54 | |
| 55 | #define Sgl_to_dbl_mantissa(src_mantissa,destA,destB) \ |
| 56 | Deposit_dmantissap1(destA,src_mantissa>>3); \ |
| 57 | Dmantissap2(destB) = src_mantissa << 29 |
| 58 | |
| 59 | #define Sgl_isinexact_to_fix(sgl_value,exponent) \ |
| 60 | ((exponent < (SGL_P - 1)) ? \ |
| 61 | (Sall(sgl_value) << (SGL_EXP_LENGTH + 1 + exponent)) : FALSE) |
| 62 | |
| 63 | #define Int_isinexact_to_sgl(int_value) (int_value << 33 - SGL_EXP_LENGTH) |
| 64 | |
| 65 | #define Sgl_roundnearest_from_int(int_value,sgl_value) \ |
| 66 | if (int_value & 1<<(SGL_EXP_LENGTH - 2)) /* round bit */ \ |
| 67 | if ((int_value << 34 - SGL_EXP_LENGTH) || Slow(sgl_value)) \ |
| 68 | Sall(sgl_value)++ |
| 69 | |
| 70 | #define Dint_isinexact_to_sgl(dint_valueA,dint_valueB) \ |
| 71 | ((Dintp1(dint_valueA) << 33 - SGL_EXP_LENGTH) || Dintp2(dint_valueB)) |
| 72 | |
| 73 | #define Sgl_roundnearest_from_dint(dint_valueA,dint_valueB,sgl_value) \ |
| 74 | if (Dintp1(dint_valueA) & 1<<(SGL_EXP_LENGTH - 2)) \ |
| 75 | if ((Dintp1(dint_valueA) << 34 - SGL_EXP_LENGTH) || \ |
| 76 | Dintp2(dint_valueB) || Slow(sgl_value)) Sall(sgl_value)++ |
| 77 | |
| 78 | #define Dint_isinexact_to_dbl(dint_value) \ |
| 79 | (Dintp2(dint_value) << 33 - DBL_EXP_LENGTH) |
| 80 | |
| 81 | #define Dbl_roundnearest_from_dint(dint_opndB,dbl_opndA,dbl_opndB) \ |
| 82 | if (Dintp2(dint_opndB) & 1<<(DBL_EXP_LENGTH - 2)) \ |
| 83 | if ((Dintp2(dint_opndB) << 34 - DBL_EXP_LENGTH) || Dlowp2(dbl_opndB)) \ |
| 84 | if ((++Dallp2(dbl_opndB))==0) Dallp1(dbl_opndA)++ |
| 85 | |
| 86 | #define Sgl_isone_roundbit(sgl_value,exponent) \ |
| 87 | ((Sall(sgl_value) << (SGL_EXP_LENGTH + 1 + exponent)) >> 31) |
| 88 | |
| 89 | #define Sgl_isone_stickybit(sgl_value,exponent) \ |
| 90 | (exponent < (SGL_P - 2) ? \ |
| 91 | Sall(sgl_value) << (SGL_EXP_LENGTH + 2 + exponent) : FALSE) |
| 92 | |
| 93 | |
| 94 | /* |
| 95 | * Double format macros |
| 96 | */ |
| 97 | |
| 98 | #define Dbl_to_sgl_exponent(src_exponent,dest) \ |
| 99 | dest = src_exponent + (SGL_BIAS - DBL_BIAS) |
| 100 | |
| 101 | #define Dbl_to_sgl_mantissa(srcA,srcB,dest,inexact,guard,sticky,odd) \ |
| 102 | Shiftdouble(Dmantissap1(srcA),Dmantissap2(srcB),29,dest); \ |
| 103 | guard = Dbit3p2(srcB); \ |
| 104 | sticky = Dallp2(srcB)<<4; \ |
| 105 | inexact = guard | sticky; \ |
| 106 | odd = Dbit2p2(srcB) |
| 107 | |
| 108 | #define Dbl_to_sgl_denormalized(srcA,srcB,exp,dest,inexact,guard,sticky,odd,tiny) \ |
| 109 | Deposit_dexponent(srcA,1); \ |
| 110 | tiny = TRUE; \ |
| 111 | if (exp >= -2) { \ |
| 112 | if (exp == 0) { \ |
| 113 | inexact = Dallp2(srcB) << 3; \ |
| 114 | guard = inexact >> 31; \ |
| 115 | sticky = inexact << 1; \ |
| 116 | Shiftdouble(Dmantissap1(srcA),Dmantissap2(srcB),29,dest); \ |
| 117 | odd = dest << 31; \ |
| 118 | if (inexact) { \ |
| 119 | switch(Rounding_mode()) { \ |
| 120 | case ROUNDPLUS: \ |
| 121 | if (Dbl_iszero_sign(srcA)) { \ |
| 122 | dest++; \ |
| 123 | if (Sgl_isone_hidden(dest)) \ |
| 124 | tiny = FALSE; \ |
| 125 | dest--; \ |
| 126 | } \ |
| 127 | break; \ |
| 128 | case ROUNDMINUS: \ |
| 129 | if (Dbl_isone_sign(srcA)) { \ |
| 130 | dest++; \ |
| 131 | if (Sgl_isone_hidden(dest)) \ |
| 132 | tiny = FALSE; \ |
| 133 | dest--; \ |
| 134 | } \ |
| 135 | break; \ |
| 136 | case ROUNDNEAREST: \ |
| 137 | if (guard && (sticky || odd)) { \ |
| 138 | dest++; \ |
| 139 | if (Sgl_isone_hidden(dest)) \ |
| 140 | tiny = FALSE; \ |
| 141 | dest--; \ |
| 142 | } \ |
| 143 | break; \ |
| 144 | } \ |
| 145 | } \ |
| 146 | /* shift right by one to get correct result */ \ |
| 147 | guard = odd; \ |
| 148 | sticky = inexact; \ |
| 149 | inexact |= guard; \ |
| 150 | dest >>= 1; \ |
| 151 | Deposit_dsign(srcA,0); \ |
| 152 | Shiftdouble(Dallp1(srcA),Dallp2(srcB),30,dest); \ |
| 153 | odd = dest << 31; \ |
| 154 | } \ |
| 155 | else { \ |
| 156 | inexact = Dallp2(srcB) << (2 + exp); \ |
| 157 | guard = inexact >> 31; \ |
| 158 | sticky = inexact << 1; \ |
| 159 | Deposit_dsign(srcA,0); \ |
| 160 | if (exp == -2) dest = Dallp1(srcA); \ |
| 161 | else Variable_shift_double(Dallp1(srcA),Dallp2(srcB),30-exp,dest); \ |
| 162 | odd = dest << 31; \ |
| 163 | } \ |
| 164 | } \ |
| 165 | else { \ |
| 166 | Deposit_dsign(srcA,0); \ |
| 167 | if (exp > (1 - SGL_P)) { \ |
| 168 | dest = Dallp1(srcA) >> (- 2 - exp); \ |
| 169 | inexact = Dallp1(srcA) << (34 + exp); \ |
| 170 | guard = inexact >> 31; \ |
| 171 | sticky = (inexact << 1) | Dallp2(srcB); \ |
| 172 | inexact |= Dallp2(srcB); \ |
| 173 | odd = dest << 31; \ |
| 174 | } \ |
| 175 | else { \ |
| 176 | dest = 0; \ |
| 177 | inexact = Dallp1(srcA) | Dallp2(srcB); \ |
| 178 | if (exp == (1 - SGL_P)) { \ |
| 179 | guard = Dhidden(srcA); \ |
| 180 | sticky = Dmantissap1(srcA) | Dallp2(srcB); \ |
| 181 | } \ |
| 182 | else { \ |
| 183 | guard = 0; \ |
| 184 | sticky = inexact; \ |
| 185 | } \ |
| 186 | odd = 0; \ |
| 187 | } \ |
| 188 | } \ |
| 189 | exp = 0 |
| 190 | |
| 191 | #define Dbl_isinexact_to_fix(dbl_valueA,dbl_valueB,exponent) \ |
| 192 | (exponent < (DBL_P-33) ? \ |
| 193 | Dallp2(dbl_valueB) || Dallp1(dbl_valueA) << (DBL_EXP_LENGTH+1+exponent) : \ |
| 194 | (exponent < (DBL_P-1) ? Dallp2(dbl_valueB) << (exponent + (33-DBL_P)) : \ |
| 195 | FALSE)) |
| 196 | |
| 197 | #define Dbl_isoverflow_to_int(exponent,dbl_valueA,dbl_valueB) \ |
| 198 | ((exponent > SGL_FX_MAX_EXP + 1) || Dsign(dbl_valueA)==0 || \ |
| 199 | Dmantissap1(dbl_valueA)!=0 || (Dallp2(dbl_valueB)>>21)!=0 ) |
| 200 | |
| 201 | #define Dbl_isone_roundbit(dbl_valueA,dbl_valueB,exponent) \ |
| 202 | ((exponent < (DBL_P - 33) ? \ |
| 203 | Dallp1(dbl_valueA) >> ((30 - DBL_EXP_LENGTH) - exponent) : \ |
| 204 | Dallp2(dbl_valueB) >> ((DBL_P - 2) - exponent)) & 1) |
| 205 | |
| 206 | #define Dbl_isone_stickybit(dbl_valueA,dbl_valueB,exponent) \ |
| 207 | (exponent < (DBL_P-34) ? \ |
| 208 | (Dallp2(dbl_valueB) || Dallp1(dbl_valueA)<<(DBL_EXP_LENGTH+2+exponent)) : \ |
| 209 | (exponent<(DBL_P-2) ? (Dallp2(dbl_valueB) << (exponent + (34-DBL_P))) : \ |
| 210 | FALSE)) |
| 211 | |
| 212 | |
| 213 | /* Int macros */ |
| 214 | |
| 215 | #define Int_from_sgl_mantissa(sgl_value,exponent) \ |
| 216 | Sall(sgl_value) = \ |
| 217 | (unsigned)(Sall(sgl_value) << SGL_EXP_LENGTH)>>(31 - exponent) |
| 218 | |
| 219 | #define Int_from_dbl_mantissa(dbl_valueA,dbl_valueB,exponent) \ |
| 220 | Shiftdouble(Dallp1(dbl_valueA),Dallp2(dbl_valueB),22,Dallp1(dbl_valueA)); \ |
| 221 | if (exponent < 31) Dallp1(dbl_valueA) >>= 30 - exponent; \ |
| 222 | else Dallp1(dbl_valueA) <<= 1 |
| 223 | |
| 224 | #define Int_negate(int_value) int_value = -int_value |
| 225 | |
| 226 | |
| 227 | /* Dint macros */ |
| 228 | |
| 229 | #define Dint_from_sgl_mantissa(sgl_value,exponent,dresultA,dresultB) \ |
| 230 | {Sall(sgl_value) <<= SGL_EXP_LENGTH; /* left-justify */ \ |
| 231 | if (exponent <= 31) { \ |
| 232 | Dintp1(dresultA) = 0; \ |
| 233 | Dintp2(dresultB) = (unsigned)Sall(sgl_value) >> (31 - exponent); \ |
| 234 | } \ |
| 235 | else { \ |
| 236 | Dintp1(dresultA) = Sall(sgl_value) >> (63 - exponent); \ |
| 237 | Dintp2(dresultB) = Sall(sgl_value) << (exponent - 31); \ |
| 238 | }} |
| 239 | |
| 240 | |
| 241 | #define Dint_from_dbl_mantissa(dbl_valueA,dbl_valueB,exponent,destA,destB) \ |
| 242 | {if (exponent < 32) { \ |
| 243 | Dintp1(destA) = 0; \ |
| 244 | if (exponent <= 20) \ |
| 245 | Dintp2(destB) = Dallp1(dbl_valueA) >> 20-exponent; \ |
| 246 | else Variable_shift_double(Dallp1(dbl_valueA),Dallp2(dbl_valueB), \ |
| 247 | 52-exponent,Dintp2(destB)); \ |
| 248 | } \ |
| 249 | else { \ |
| 250 | if (exponent <= 52) { \ |
| 251 | Dintp1(destA) = Dallp1(dbl_valueA) >> 52-exponent; \ |
| 252 | if (exponent == 52) Dintp2(destB) = Dallp2(dbl_valueB); \ |
| 253 | else Variable_shift_double(Dallp1(dbl_valueA),Dallp2(dbl_valueB), \ |
| 254 | 52-exponent,Dintp2(destB)); \ |
| 255 | } \ |
| 256 | else { \ |
| 257 | Variable_shift_double(Dallp1(dbl_valueA),Dallp2(dbl_valueB), \ |
| 258 | 84-exponent,Dintp1(destA)); \ |
| 259 | Dintp2(destB) = Dallp2(dbl_valueB) << exponent-52; \ |
| 260 | } \ |
| 261 | }} |
| 262 | |
| 263 | #define Dint_setzero(dresultA,dresultB) \ |
| 264 | Dintp1(dresultA) = 0; \ |
| 265 | Dintp2(dresultB) = 0 |
| 266 | |
| 267 | #define Dint_setone_sign(dresultA,dresultB) \ |
| 268 | Dintp1(dresultA) = ~Dintp1(dresultA); \ |
| 269 | if ((Dintp2(dresultB) = -Dintp2(dresultB)) == 0) Dintp1(dresultA)++ |
| 270 | |
| 271 | #define Dint_set_minint(dresultA,dresultB) \ |
| 272 | Dintp1(dresultA) = (unsigned int)1<<31; \ |
| 273 | Dintp2(dresultB) = 0 |
| 274 | |
| 275 | #define Dint_isone_lowp2(dresultB) (Dintp2(dresultB) & 01) |
| 276 | |
| 277 | #define Dint_increment(dresultA,dresultB) \ |
| 278 | if ((++Dintp2(dresultB))==0) Dintp1(dresultA)++ |
| 279 | |
| 280 | #define Dint_decrement(dresultA,dresultB) \ |
| 281 | if ((Dintp2(dresultB)--)==0) Dintp1(dresultA)-- |
| 282 | |
| 283 | #define Dint_negate(dresultA,dresultB) \ |
| 284 | Dintp1(dresultA) = ~Dintp1(dresultA); \ |
| 285 | if ((Dintp2(dresultB) = -Dintp2(dresultB))==0) Dintp1(dresultA)++ |
| 286 | |
| 287 | #define Dint_copyfromptr(src,destA,destB) \ |
| 288 | Dintp1(destA) = src->wd0; \ |
| 289 | Dintp2(destB) = src->wd1 |
| 290 | #define Dint_copytoptr(srcA,srcB,dest) \ |
| 291 | dest->wd0 = Dintp1(srcA); \ |
| 292 | dest->wd1 = Dintp2(srcB) |
| 293 | |
| 294 | |
| 295 | /* other macros */ |
| 296 | |
| 297 | #define Find_ms_one_bit(value, position) \ |
| 298 | { \ |
| 299 | int var; \ |
| 300 | for (var=8; var >=1; var >>= 1) { \ |
| 301 | if (value >> 32 - position) \ |
| 302 | position -= var; \ |
| 303 | else position += var; \ |
| 304 | } \ |
| 305 | if ((value >> 32 - position) == 0) \ |
| 306 | position--; \ |
| 307 | else position -= 2; \ |
| 308 | } |
| 309 | |
| 310 | |
| 311 | /* |
| 312 | * Unsigned int macros |
| 313 | */ |
| 314 | #define Duint_copyfromptr(src,destA,destB) \ |
| 315 | Dint_copyfromptr(src,destA,destB) |
| 316 | #define Duint_copytoptr(srcA,srcB,dest) \ |
| 317 | Dint_copytoptr(srcA,srcB,dest) |
| 318 | |
| 319 | #define Suint_isinexact_to_sgl(int_value) \ |
| 320 | (int_value << 32 - SGL_EXP_LENGTH) |
| 321 | |
| 322 | #define Sgl_roundnearest_from_suint(suint_value,sgl_value) \ |
| 323 | if (suint_value & 1<<(SGL_EXP_LENGTH - 1)) /* round bit */ \ |
| 324 | if ((suint_value << 33 - SGL_EXP_LENGTH) || Slow(sgl_value)) \ |
| 325 | Sall(sgl_value)++ |
| 326 | |
| 327 | #define Duint_isinexact_to_sgl(duint_valueA,duint_valueB) \ |
| 328 | ((Duintp1(duint_valueA) << 32 - SGL_EXP_LENGTH) || Duintp2(duint_valueB)) |
| 329 | |
| 330 | #define Sgl_roundnearest_from_duint(duint_valueA,duint_valueB,sgl_value) \ |
| 331 | if (Duintp1(duint_valueA) & 1<<(SGL_EXP_LENGTH - 1)) \ |
| 332 | if ((Duintp1(duint_valueA) << 33 - SGL_EXP_LENGTH) || \ |
| 333 | Duintp2(duint_valueB) || Slow(sgl_value)) Sall(sgl_value)++ |
| 334 | |
| 335 | #define Duint_isinexact_to_dbl(duint_value) \ |
| 336 | (Duintp2(duint_value) << 32 - DBL_EXP_LENGTH) |
| 337 | |
| 338 | #define Dbl_roundnearest_from_duint(duint_opndB,dbl_opndA,dbl_opndB) \ |
| 339 | if (Duintp2(duint_opndB) & 1<<(DBL_EXP_LENGTH - 1)) \ |
| 340 | if ((Duintp2(duint_opndB) << 33 - DBL_EXP_LENGTH) || Dlowp2(dbl_opndB)) \ |
| 341 | if ((++Dallp2(dbl_opndB))==0) Dallp1(dbl_opndA)++ |
| 342 | |
| 343 | #define Suint_from_sgl_mantissa(src,exponent,result) \ |
| 344 | Sall(result) = (unsigned)(Sall(src) << SGL_EXP_LENGTH)>>(31 - exponent) |
| 345 | |
| 346 | #define Sgl_isinexact_to_unsigned(sgl_value,exponent) \ |
| 347 | Sgl_isinexact_to_fix(sgl_value,exponent) |
| 348 | |
| 349 | #define Duint_from_sgl_mantissa(sgl_value,exponent,dresultA,dresultB) \ |
| 350 | {Sall(sgl_value) <<= SGL_EXP_LENGTH; /* left-justify */ \ |
| 351 | if (exponent <= 31) { \ |
| 352 | Dintp1(dresultA) = 0; \ |
| 353 | Dintp2(dresultB) = (unsigned)Sall(sgl_value) >> (31 - exponent); \ |
| 354 | } \ |
| 355 | else { \ |
| 356 | Dintp1(dresultA) = Sall(sgl_value) >> (63 - exponent); \ |
| 357 | Dintp2(dresultB) = Sall(sgl_value) << (exponent - 31); \ |
| 358 | } \ |
| 359 | Sall(sgl_value) >>= SGL_EXP_LENGTH; /* return to original */ \ |
| 360 | } |
| 361 | |
| 362 | #define Duint_setzero(dresultA,dresultB) \ |
| 363 | Dint_setzero(dresultA,dresultB) |
| 364 | |
| 365 | #define Duint_increment(dresultA,dresultB) Dint_increment(dresultA,dresultB) |
| 366 | |
| 367 | #define Duint_isone_lowp2(dresultB) Dint_isone_lowp2(dresultB) |
| 368 | |
| 369 | #define Suint_from_dbl_mantissa(srcA,srcB,exponent,dest) \ |
| 370 | Shiftdouble(Dallp1(srcA),Dallp2(srcB),21,dest); \ |
| 371 | dest = (unsigned)dest >> 31 - exponent |
| 372 | |
| 373 | #define Dbl_isinexact_to_unsigned(dbl_valueA,dbl_valueB,exponent) \ |
| 374 | Dbl_isinexact_to_fix(dbl_valueA,dbl_valueB,exponent) |
| 375 | |
| 376 | #define Duint_from_dbl_mantissa(dbl_valueA,dbl_valueB,exponent,destA,destB) \ |
| 377 | Dint_from_dbl_mantissa(dbl_valueA,dbl_valueB,exponent,destA,destB) |