| 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 | * BEGIN_DESC | 
|  | 23 | * | 
|  | 24 | *  File: | 
|  | 25 | *	@(#)	pa/spmath/sfdiv.c		$Revision: 1.1 $ | 
|  | 26 | * | 
|  | 27 | *  Purpose: | 
|  | 28 | *	Single Precision Floating-point Divide | 
|  | 29 | * | 
|  | 30 | *  External Interfaces: | 
|  | 31 | *	sgl_fdiv(srcptr1,srcptr2,dstptr,status) | 
|  | 32 | * | 
|  | 33 | *  Internal Interfaces: | 
|  | 34 | * | 
|  | 35 | *  Theory: | 
|  | 36 | *	<<please update with a overview of the operation of this file>> | 
|  | 37 | * | 
|  | 38 | * END_DESC | 
|  | 39 | */ | 
|  | 40 |  | 
|  | 41 |  | 
|  | 42 | #include "float.h" | 
|  | 43 | #include "sgl_float.h" | 
|  | 44 |  | 
|  | 45 | /* | 
|  | 46 | *  Single Precision Floating-point Divide | 
|  | 47 | */ | 
|  | 48 |  | 
|  | 49 | int | 
|  | 50 | sgl_fdiv (sgl_floating_point * srcptr1, sgl_floating_point * srcptr2, | 
|  | 51 | sgl_floating_point * dstptr, unsigned int *status) | 
|  | 52 | { | 
|  | 53 | register unsigned int opnd1, opnd2, opnd3, result; | 
|  | 54 | register int dest_exponent, count; | 
|  | 55 | register boolean inexact = FALSE, guardbit = FALSE, stickybit = FALSE; | 
|  | 56 | boolean is_tiny; | 
|  | 57 |  | 
|  | 58 | opnd1 = *srcptr1; | 
|  | 59 | opnd2 = *srcptr2; | 
|  | 60 | /* | 
|  | 61 | * set sign bit of result | 
|  | 62 | */ | 
|  | 63 | if (Sgl_sign(opnd1) ^ Sgl_sign(opnd2)) Sgl_setnegativezero(result); | 
|  | 64 | else Sgl_setzero(result); | 
|  | 65 | /* | 
|  | 66 | * check first operand for NaN's or infinity | 
|  | 67 | */ | 
|  | 68 | if (Sgl_isinfinity_exponent(opnd1)) { | 
|  | 69 | if (Sgl_iszero_mantissa(opnd1)) { | 
|  | 70 | if (Sgl_isnotnan(opnd2)) { | 
|  | 71 | if (Sgl_isinfinity(opnd2)) { | 
|  | 72 | /* | 
|  | 73 | * invalid since both operands | 
|  | 74 | * are infinity | 
|  | 75 | */ | 
|  | 76 | if (Is_invalidtrap_enabled()) | 
|  | 77 | return(INVALIDEXCEPTION); | 
|  | 78 | Set_invalidflag(); | 
|  | 79 | Sgl_makequietnan(result); | 
|  | 80 | *dstptr = result; | 
|  | 81 | return(NOEXCEPTION); | 
|  | 82 | } | 
|  | 83 | /* | 
|  | 84 | * return infinity | 
|  | 85 | */ | 
|  | 86 | Sgl_setinfinity_exponentmantissa(result); | 
|  | 87 | *dstptr = result; | 
|  | 88 | return(NOEXCEPTION); | 
|  | 89 | } | 
|  | 90 | } | 
|  | 91 | else { | 
|  | 92 | /* | 
|  | 93 | * is NaN; signaling or quiet? | 
|  | 94 | */ | 
|  | 95 | if (Sgl_isone_signaling(opnd1)) { | 
|  | 96 | /* trap if INVALIDTRAP enabled */ | 
|  | 97 | if (Is_invalidtrap_enabled()) | 
|  | 98 | return(INVALIDEXCEPTION); | 
|  | 99 | /* make NaN quiet */ | 
|  | 100 | Set_invalidflag(); | 
|  | 101 | Sgl_set_quiet(opnd1); | 
|  | 102 | } | 
|  | 103 | /* | 
|  | 104 | * is second operand a signaling NaN? | 
|  | 105 | */ | 
|  | 106 | else if (Sgl_is_signalingnan(opnd2)) { | 
|  | 107 | /* trap if INVALIDTRAP enabled */ | 
|  | 108 | if (Is_invalidtrap_enabled()) | 
|  | 109 | return(INVALIDEXCEPTION); | 
|  | 110 | /* make NaN quiet */ | 
|  | 111 | Set_invalidflag(); | 
|  | 112 | Sgl_set_quiet(opnd2); | 
|  | 113 | *dstptr = opnd2; | 
|  | 114 | return(NOEXCEPTION); | 
|  | 115 | } | 
|  | 116 | /* | 
|  | 117 | * return quiet NaN | 
|  | 118 | */ | 
|  | 119 | *dstptr = opnd1; | 
|  | 120 | return(NOEXCEPTION); | 
|  | 121 | } | 
|  | 122 | } | 
|  | 123 | /* | 
|  | 124 | * check second operand for NaN's or infinity | 
|  | 125 | */ | 
|  | 126 | if (Sgl_isinfinity_exponent(opnd2)) { | 
|  | 127 | if (Sgl_iszero_mantissa(opnd2)) { | 
|  | 128 | /* | 
|  | 129 | * return zero | 
|  | 130 | */ | 
|  | 131 | Sgl_setzero_exponentmantissa(result); | 
|  | 132 | *dstptr = result; | 
|  | 133 | return(NOEXCEPTION); | 
|  | 134 | } | 
|  | 135 | /* | 
|  | 136 | * is NaN; signaling or quiet? | 
|  | 137 | */ | 
|  | 138 | if (Sgl_isone_signaling(opnd2)) { | 
|  | 139 | /* trap if INVALIDTRAP enabled */ | 
|  | 140 | if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION); | 
|  | 141 | /* make NaN quiet */ | 
|  | 142 | Set_invalidflag(); | 
|  | 143 | Sgl_set_quiet(opnd2); | 
|  | 144 | } | 
|  | 145 | /* | 
|  | 146 | * return quiet NaN | 
|  | 147 | */ | 
|  | 148 | *dstptr = opnd2; | 
|  | 149 | return(NOEXCEPTION); | 
|  | 150 | } | 
|  | 151 | /* | 
|  | 152 | * check for division by zero | 
|  | 153 | */ | 
|  | 154 | if (Sgl_iszero_exponentmantissa(opnd2)) { | 
|  | 155 | if (Sgl_iszero_exponentmantissa(opnd1)) { | 
|  | 156 | /* invalid since both operands are zero */ | 
|  | 157 | if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION); | 
|  | 158 | Set_invalidflag(); | 
|  | 159 | Sgl_makequietnan(result); | 
|  | 160 | *dstptr = result; | 
|  | 161 | return(NOEXCEPTION); | 
|  | 162 | } | 
|  | 163 | if (Is_divisionbyzerotrap_enabled()) | 
|  | 164 | return(DIVISIONBYZEROEXCEPTION); | 
|  | 165 | Set_divisionbyzeroflag(); | 
|  | 166 | Sgl_setinfinity_exponentmantissa(result); | 
|  | 167 | *dstptr = result; | 
|  | 168 | return(NOEXCEPTION); | 
|  | 169 | } | 
|  | 170 | /* | 
|  | 171 | * Generate exponent | 
|  | 172 | */ | 
|  | 173 | dest_exponent = Sgl_exponent(opnd1) - Sgl_exponent(opnd2) + SGL_BIAS; | 
|  | 174 |  | 
|  | 175 | /* | 
|  | 176 | * Generate mantissa | 
|  | 177 | */ | 
|  | 178 | if (Sgl_isnotzero_exponent(opnd1)) { | 
|  | 179 | /* set hidden bit */ | 
|  | 180 | Sgl_clear_signexponent_set_hidden(opnd1); | 
|  | 181 | } | 
|  | 182 | else { | 
|  | 183 | /* check for zero */ | 
|  | 184 | if (Sgl_iszero_mantissa(opnd1)) { | 
|  | 185 | Sgl_setzero_exponentmantissa(result); | 
|  | 186 | *dstptr = result; | 
|  | 187 | return(NOEXCEPTION); | 
|  | 188 | } | 
|  | 189 | /* is denormalized; want to normalize */ | 
|  | 190 | Sgl_clear_signexponent(opnd1); | 
|  | 191 | Sgl_leftshiftby1(opnd1); | 
|  | 192 | Sgl_normalize(opnd1,dest_exponent); | 
|  | 193 | } | 
|  | 194 | /* opnd2 needs to have hidden bit set with msb in hidden bit */ | 
|  | 195 | if (Sgl_isnotzero_exponent(opnd2)) { | 
|  | 196 | Sgl_clear_signexponent_set_hidden(opnd2); | 
|  | 197 | } | 
|  | 198 | else { | 
|  | 199 | /* is denormalized; want to normalize */ | 
|  | 200 | Sgl_clear_signexponent(opnd2); | 
|  | 201 | Sgl_leftshiftby1(opnd2); | 
|  | 202 | while(Sgl_iszero_hiddenhigh7mantissa(opnd2)) { | 
|  | 203 | Sgl_leftshiftby8(opnd2); | 
|  | 204 | dest_exponent += 8; | 
|  | 205 | } | 
|  | 206 | if(Sgl_iszero_hiddenhigh3mantissa(opnd2)) { | 
|  | 207 | Sgl_leftshiftby4(opnd2); | 
|  | 208 | dest_exponent += 4; | 
|  | 209 | } | 
|  | 210 | while(Sgl_iszero_hidden(opnd2)) { | 
|  | 211 | Sgl_leftshiftby1(opnd2); | 
|  | 212 | dest_exponent += 1; | 
|  | 213 | } | 
|  | 214 | } | 
|  | 215 |  | 
|  | 216 | /* Divide the source mantissas */ | 
|  | 217 |  | 
|  | 218 | /* | 
|  | 219 | * A non_restoring divide algorithm is used. | 
|  | 220 | */ | 
|  | 221 | Sgl_subtract(opnd1,opnd2,opnd1); | 
|  | 222 | Sgl_setzero(opnd3); | 
|  | 223 | for (count=1;count<=SGL_P && Sgl_all(opnd1);count++) { | 
|  | 224 | Sgl_leftshiftby1(opnd1); | 
|  | 225 | Sgl_leftshiftby1(opnd3); | 
|  | 226 | if (Sgl_iszero_sign(opnd1)) { | 
|  | 227 | Sgl_setone_lowmantissa(opnd3); | 
|  | 228 | Sgl_subtract(opnd1,opnd2,opnd1); | 
|  | 229 | } | 
|  | 230 | else Sgl_addition(opnd1,opnd2,opnd1); | 
|  | 231 | } | 
|  | 232 | if (count <= SGL_P) { | 
|  | 233 | Sgl_leftshiftby1(opnd3); | 
|  | 234 | Sgl_setone_lowmantissa(opnd3); | 
|  | 235 | Sgl_leftshift(opnd3,SGL_P-count); | 
|  | 236 | if (Sgl_iszero_hidden(opnd3)) { | 
|  | 237 | Sgl_leftshiftby1(opnd3); | 
|  | 238 | dest_exponent--; | 
|  | 239 | } | 
|  | 240 | } | 
|  | 241 | else { | 
|  | 242 | if (Sgl_iszero_hidden(opnd3)) { | 
|  | 243 | /* need to get one more bit of result */ | 
|  | 244 | Sgl_leftshiftby1(opnd1); | 
|  | 245 | Sgl_leftshiftby1(opnd3); | 
|  | 246 | if (Sgl_iszero_sign(opnd1)) { | 
|  | 247 | Sgl_setone_lowmantissa(opnd3); | 
|  | 248 | Sgl_subtract(opnd1,opnd2,opnd1); | 
|  | 249 | } | 
|  | 250 | else Sgl_addition(opnd1,opnd2,opnd1); | 
|  | 251 | dest_exponent--; | 
|  | 252 | } | 
|  | 253 | if (Sgl_iszero_sign(opnd1)) guardbit = TRUE; | 
|  | 254 | stickybit = Sgl_all(opnd1); | 
|  | 255 | } | 
|  | 256 | inexact = guardbit | stickybit; | 
|  | 257 |  | 
|  | 258 | /* | 
|  | 259 | * round result | 
|  | 260 | */ | 
|  | 261 | if (inexact && (dest_exponent > 0 || Is_underflowtrap_enabled())) { | 
|  | 262 | Sgl_clear_signexponent(opnd3); | 
|  | 263 | switch (Rounding_mode()) { | 
|  | 264 | case ROUNDPLUS: | 
|  | 265 | if (Sgl_iszero_sign(result)) | 
|  | 266 | Sgl_increment_mantissa(opnd3); | 
|  | 267 | break; | 
|  | 268 | case ROUNDMINUS: | 
|  | 269 | if (Sgl_isone_sign(result)) | 
|  | 270 | Sgl_increment_mantissa(opnd3); | 
|  | 271 | break; | 
|  | 272 | case ROUNDNEAREST: | 
|  | 273 | if (guardbit) { | 
|  | 274 | if (stickybit || Sgl_isone_lowmantissa(opnd3)) | 
|  | 275 | Sgl_increment_mantissa(opnd3); | 
|  | 276 | } | 
|  | 277 | } | 
|  | 278 | if (Sgl_isone_hidden(opnd3)) dest_exponent++; | 
|  | 279 | } | 
|  | 280 | Sgl_set_mantissa(result,opnd3); | 
|  | 281 |  | 
|  | 282 | /* | 
|  | 283 | * Test for overflow | 
|  | 284 | */ | 
|  | 285 | if (dest_exponent >= SGL_INFINITY_EXPONENT) { | 
|  | 286 | /* trap if OVERFLOWTRAP enabled */ | 
|  | 287 | if (Is_overflowtrap_enabled()) { | 
|  | 288 | /* | 
|  | 289 | * Adjust bias of result | 
|  | 290 | */ | 
|  | 291 | Sgl_setwrapped_exponent(result,dest_exponent,ovfl); | 
|  | 292 | *dstptr = result; | 
|  | 293 | if (inexact) | 
|  | 294 | if (Is_inexacttrap_enabled()) | 
|  | 295 | return(OVERFLOWEXCEPTION | INEXACTEXCEPTION); | 
|  | 296 | else Set_inexactflag(); | 
|  | 297 | return(OVERFLOWEXCEPTION); | 
|  | 298 | } | 
|  | 299 | Set_overflowflag(); | 
|  | 300 | /* set result to infinity or largest number */ | 
|  | 301 | Sgl_setoverflow(result); | 
|  | 302 | inexact = TRUE; | 
|  | 303 | } | 
|  | 304 | /* | 
|  | 305 | * Test for underflow | 
|  | 306 | */ | 
|  | 307 | else if (dest_exponent <= 0) { | 
|  | 308 | /* trap if UNDERFLOWTRAP enabled */ | 
|  | 309 | if (Is_underflowtrap_enabled()) { | 
|  | 310 | /* | 
|  | 311 | * Adjust bias of result | 
|  | 312 | */ | 
|  | 313 | Sgl_setwrapped_exponent(result,dest_exponent,unfl); | 
|  | 314 | *dstptr = result; | 
|  | 315 | if (inexact) | 
|  | 316 | if (Is_inexacttrap_enabled()) | 
|  | 317 | return(UNDERFLOWEXCEPTION | INEXACTEXCEPTION); | 
|  | 318 | else Set_inexactflag(); | 
|  | 319 | return(UNDERFLOWEXCEPTION); | 
|  | 320 | } | 
|  | 321 |  | 
|  | 322 | /* Determine if should set underflow flag */ | 
|  | 323 | is_tiny = TRUE; | 
|  | 324 | if (dest_exponent == 0 && inexact) { | 
|  | 325 | switch (Rounding_mode()) { | 
|  | 326 | case ROUNDPLUS: | 
|  | 327 | if (Sgl_iszero_sign(result)) { | 
|  | 328 | Sgl_increment(opnd3); | 
|  | 329 | if (Sgl_isone_hiddenoverflow(opnd3)) | 
|  | 330 | is_tiny = FALSE; | 
|  | 331 | Sgl_decrement(opnd3); | 
|  | 332 | } | 
|  | 333 | break; | 
|  | 334 | case ROUNDMINUS: | 
|  | 335 | if (Sgl_isone_sign(result)) { | 
|  | 336 | Sgl_increment(opnd3); | 
|  | 337 | if (Sgl_isone_hiddenoverflow(opnd3)) | 
|  | 338 | is_tiny = FALSE; | 
|  | 339 | Sgl_decrement(opnd3); | 
|  | 340 | } | 
|  | 341 | break; | 
|  | 342 | case ROUNDNEAREST: | 
|  | 343 | if (guardbit && (stickybit || | 
|  | 344 | Sgl_isone_lowmantissa(opnd3))) { | 
|  | 345 | Sgl_increment(opnd3); | 
|  | 346 | if (Sgl_isone_hiddenoverflow(opnd3)) | 
|  | 347 | is_tiny = FALSE; | 
|  | 348 | Sgl_decrement(opnd3); | 
|  | 349 | } | 
|  | 350 | break; | 
|  | 351 | } | 
|  | 352 | } | 
|  | 353 |  | 
|  | 354 | /* | 
|  | 355 | * denormalize result or set to signed zero | 
|  | 356 | */ | 
|  | 357 | stickybit = inexact; | 
|  | 358 | Sgl_denormalize(opnd3,dest_exponent,guardbit,stickybit,inexact); | 
|  | 359 |  | 
|  | 360 | /* return rounded number */ | 
|  | 361 | if (inexact) { | 
|  | 362 | switch (Rounding_mode()) { | 
|  | 363 | case ROUNDPLUS: | 
|  | 364 | if (Sgl_iszero_sign(result)) { | 
|  | 365 | Sgl_increment(opnd3); | 
|  | 366 | } | 
|  | 367 | break; | 
|  | 368 | case ROUNDMINUS: | 
|  | 369 | if (Sgl_isone_sign(result))  { | 
|  | 370 | Sgl_increment(opnd3); | 
|  | 371 | } | 
|  | 372 | break; | 
|  | 373 | case ROUNDNEAREST: | 
|  | 374 | if (guardbit && (stickybit || | 
|  | 375 | Sgl_isone_lowmantissa(opnd3))) { | 
|  | 376 | Sgl_increment(opnd3); | 
|  | 377 | } | 
|  | 378 | break; | 
|  | 379 | } | 
|  | 380 | if (is_tiny) Set_underflowflag(); | 
|  | 381 | } | 
|  | 382 | Sgl_set_exponentmantissa(result,opnd3); | 
|  | 383 | } | 
|  | 384 | else Sgl_set_exponent(result,dest_exponent); | 
|  | 385 | *dstptr = result; | 
|  | 386 | /* check for inexact */ | 
|  | 387 | if (inexact) { | 
|  | 388 | if (Is_inexacttrap_enabled()) return(INEXACTEXCEPTION); | 
|  | 389 | else  Set_inexactflag(); | 
|  | 390 | } | 
|  | 391 | return(NOEXCEPTION); | 
|  | 392 | } |