| 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/sfmpy.c		$Revision: 1.1 $ | 
|  | 26 | * | 
|  | 27 | *  Purpose: | 
|  | 28 | *	Single Precision Floating-point Multiply | 
|  | 29 | * | 
|  | 30 | *  External Interfaces: | 
|  | 31 | *	sgl_fmpy(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 Multiply | 
|  | 47 | */ | 
|  | 48 |  | 
|  | 49 | int | 
|  | 50 | sgl_fmpy( | 
|  | 51 | sgl_floating_point *srcptr1, | 
|  | 52 | sgl_floating_point *srcptr2, | 
|  | 53 | sgl_floating_point *dstptr, | 
|  | 54 | unsigned int *status) | 
|  | 55 | { | 
|  | 56 | register unsigned int opnd1, opnd2, opnd3, result; | 
|  | 57 | register int dest_exponent, count; | 
|  | 58 | register boolean inexact = FALSE, guardbit = FALSE, stickybit = FALSE; | 
|  | 59 | boolean is_tiny; | 
|  | 60 |  | 
|  | 61 | opnd1 = *srcptr1; | 
|  | 62 | opnd2 = *srcptr2; | 
|  | 63 | /* | 
|  | 64 | * set sign bit of result | 
|  | 65 | */ | 
|  | 66 | if (Sgl_sign(opnd1) ^ Sgl_sign(opnd2)) Sgl_setnegativezero(result); | 
|  | 67 | else Sgl_setzero(result); | 
|  | 68 | /* | 
|  | 69 | * check first operand for NaN's or infinity | 
|  | 70 | */ | 
|  | 71 | if (Sgl_isinfinity_exponent(opnd1)) { | 
|  | 72 | if (Sgl_iszero_mantissa(opnd1)) { | 
|  | 73 | if (Sgl_isnotnan(opnd2)) { | 
|  | 74 | if (Sgl_iszero_exponentmantissa(opnd2)) { | 
|  | 75 | /* | 
|  | 76 | * invalid since operands are infinity | 
|  | 77 | * and zero | 
|  | 78 | */ | 
|  | 79 | if (Is_invalidtrap_enabled()) | 
|  | 80 | return(INVALIDEXCEPTION); | 
|  | 81 | Set_invalidflag(); | 
|  | 82 | Sgl_makequietnan(result); | 
|  | 83 | *dstptr = result; | 
|  | 84 | return(NOEXCEPTION); | 
|  | 85 | } | 
|  | 86 | /* | 
|  | 87 | * return infinity | 
|  | 88 | */ | 
|  | 89 | Sgl_setinfinity_exponentmantissa(result); | 
|  | 90 | *dstptr = result; | 
|  | 91 | return(NOEXCEPTION); | 
|  | 92 | } | 
|  | 93 | } | 
|  | 94 | else { | 
|  | 95 | /* | 
|  | 96 | * is NaN; signaling or quiet? | 
|  | 97 | */ | 
|  | 98 | if (Sgl_isone_signaling(opnd1)) { | 
|  | 99 | /* trap if INVALIDTRAP enabled */ | 
|  | 100 | if (Is_invalidtrap_enabled()) | 
|  | 101 | return(INVALIDEXCEPTION); | 
|  | 102 | /* make NaN quiet */ | 
|  | 103 | Set_invalidflag(); | 
|  | 104 | Sgl_set_quiet(opnd1); | 
|  | 105 | } | 
|  | 106 | /* | 
|  | 107 | * is second operand a signaling NaN? | 
|  | 108 | */ | 
|  | 109 | else if (Sgl_is_signalingnan(opnd2)) { | 
|  | 110 | /* trap if INVALIDTRAP enabled */ | 
|  | 111 | if (Is_invalidtrap_enabled()) | 
|  | 112 | return(INVALIDEXCEPTION); | 
|  | 113 | /* make NaN quiet */ | 
|  | 114 | Set_invalidflag(); | 
|  | 115 | Sgl_set_quiet(opnd2); | 
|  | 116 | *dstptr = opnd2; | 
|  | 117 | return(NOEXCEPTION); | 
|  | 118 | } | 
|  | 119 | /* | 
|  | 120 | * return quiet NaN | 
|  | 121 | */ | 
|  | 122 | *dstptr = opnd1; | 
|  | 123 | return(NOEXCEPTION); | 
|  | 124 | } | 
|  | 125 | } | 
|  | 126 | /* | 
|  | 127 | * check second operand for NaN's or infinity | 
|  | 128 | */ | 
|  | 129 | if (Sgl_isinfinity_exponent(opnd2)) { | 
|  | 130 | if (Sgl_iszero_mantissa(opnd2)) { | 
|  | 131 | if (Sgl_iszero_exponentmantissa(opnd1)) { | 
|  | 132 | /* invalid since operands are zero & infinity */ | 
|  | 133 | if (Is_invalidtrap_enabled()) | 
|  | 134 | return(INVALIDEXCEPTION); | 
|  | 135 | Set_invalidflag(); | 
|  | 136 | Sgl_makequietnan(opnd2); | 
|  | 137 | *dstptr = opnd2; | 
|  | 138 | return(NOEXCEPTION); | 
|  | 139 | } | 
|  | 140 | /* | 
|  | 141 | * return infinity | 
|  | 142 | */ | 
|  | 143 | Sgl_setinfinity_exponentmantissa(result); | 
|  | 144 | *dstptr = result; | 
|  | 145 | return(NOEXCEPTION); | 
|  | 146 | } | 
|  | 147 | /* | 
|  | 148 | * is NaN; signaling or quiet? | 
|  | 149 | */ | 
|  | 150 | if (Sgl_isone_signaling(opnd2)) { | 
|  | 151 | /* trap if INVALIDTRAP enabled */ | 
|  | 152 | if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION); | 
|  | 153 |  | 
|  | 154 | /* make NaN quiet */ | 
|  | 155 | Set_invalidflag(); | 
|  | 156 | Sgl_set_quiet(opnd2); | 
|  | 157 | } | 
|  | 158 | /* | 
|  | 159 | * return quiet NaN | 
|  | 160 | */ | 
|  | 161 | *dstptr = opnd2; | 
|  | 162 | return(NOEXCEPTION); | 
|  | 163 | } | 
|  | 164 | /* | 
|  | 165 | * Generate exponent | 
|  | 166 | */ | 
|  | 167 | dest_exponent = Sgl_exponent(opnd1) + Sgl_exponent(opnd2) - SGL_BIAS; | 
|  | 168 |  | 
|  | 169 | /* | 
|  | 170 | * Generate mantissa | 
|  | 171 | */ | 
|  | 172 | if (Sgl_isnotzero_exponent(opnd1)) { | 
|  | 173 | /* set hidden bit */ | 
|  | 174 | Sgl_clear_signexponent_set_hidden(opnd1); | 
|  | 175 | } | 
|  | 176 | else { | 
|  | 177 | /* check for zero */ | 
|  | 178 | if (Sgl_iszero_mantissa(opnd1)) { | 
|  | 179 | Sgl_setzero_exponentmantissa(result); | 
|  | 180 | *dstptr = result; | 
|  | 181 | return(NOEXCEPTION); | 
|  | 182 | } | 
|  | 183 | /* is denormalized, adjust exponent */ | 
|  | 184 | Sgl_clear_signexponent(opnd1); | 
|  | 185 | Sgl_leftshiftby1(opnd1); | 
|  | 186 | Sgl_normalize(opnd1,dest_exponent); | 
|  | 187 | } | 
|  | 188 | /* opnd2 needs to have hidden bit set with msb in hidden bit */ | 
|  | 189 | if (Sgl_isnotzero_exponent(opnd2)) { | 
|  | 190 | Sgl_clear_signexponent_set_hidden(opnd2); | 
|  | 191 | } | 
|  | 192 | else { | 
|  | 193 | /* check for zero */ | 
|  | 194 | if (Sgl_iszero_mantissa(opnd2)) { | 
|  | 195 | Sgl_setzero_exponentmantissa(result); | 
|  | 196 | *dstptr = result; | 
|  | 197 | return(NOEXCEPTION); | 
|  | 198 | } | 
|  | 199 | /* is denormalized; want to normalize */ | 
|  | 200 | Sgl_clear_signexponent(opnd2); | 
|  | 201 | Sgl_leftshiftby1(opnd2); | 
|  | 202 | Sgl_normalize(opnd2,dest_exponent); | 
|  | 203 | } | 
|  | 204 |  | 
|  | 205 | /* Multiply two source mantissas together */ | 
|  | 206 |  | 
|  | 207 | Sgl_leftshiftby4(opnd2);     /* make room for guard bits */ | 
|  | 208 | Sgl_setzero(opnd3); | 
|  | 209 | /* | 
|  | 210 | * Four bits at a time are inspected in each loop, and a | 
|  | 211 | * simple shift and add multiply algorithm is used. | 
|  | 212 | */ | 
|  | 213 | for (count=1;count<SGL_P;count+=4) { | 
|  | 214 | stickybit |= Slow4(opnd3); | 
|  | 215 | Sgl_rightshiftby4(opnd3); | 
|  | 216 | if (Sbit28(opnd1)) Sall(opnd3) += (Sall(opnd2) << 3); | 
|  | 217 | if (Sbit29(opnd1)) Sall(opnd3) += (Sall(opnd2) << 2); | 
|  | 218 | if (Sbit30(opnd1)) Sall(opnd3) += (Sall(opnd2) << 1); | 
|  | 219 | if (Sbit31(opnd1)) Sall(opnd3) += Sall(opnd2); | 
|  | 220 | Sgl_rightshiftby4(opnd1); | 
|  | 221 | } | 
|  | 222 | /* make sure result is left-justified */ | 
|  | 223 | if (Sgl_iszero_sign(opnd3)) { | 
|  | 224 | Sgl_leftshiftby1(opnd3); | 
|  | 225 | } | 
|  | 226 | else { | 
|  | 227 | /* result mantissa >= 2. */ | 
|  | 228 | dest_exponent++; | 
|  | 229 | } | 
|  | 230 | /* check for denormalized result */ | 
|  | 231 | while (Sgl_iszero_sign(opnd3)) { | 
|  | 232 | Sgl_leftshiftby1(opnd3); | 
|  | 233 | dest_exponent--; | 
|  | 234 | } | 
|  | 235 | /* | 
|  | 236 | * check for guard, sticky and inexact bits | 
|  | 237 | */ | 
|  | 238 | stickybit |= Sgl_all(opnd3) << (SGL_BITLENGTH - SGL_EXP_LENGTH + 1); | 
|  | 239 | guardbit = Sbit24(opnd3); | 
|  | 240 | inexact = guardbit | stickybit; | 
|  | 241 |  | 
|  | 242 | /* re-align mantissa */ | 
|  | 243 | Sgl_rightshiftby8(opnd3); | 
|  | 244 |  | 
|  | 245 | /* | 
|  | 246 | * round result | 
|  | 247 | */ | 
|  | 248 | if (inexact && (dest_exponent>0 || Is_underflowtrap_enabled())) { | 
|  | 249 | Sgl_clear_signexponent(opnd3); | 
|  | 250 | switch (Rounding_mode()) { | 
|  | 251 | case ROUNDPLUS: | 
|  | 252 | if (Sgl_iszero_sign(result)) | 
|  | 253 | Sgl_increment(opnd3); | 
|  | 254 | break; | 
|  | 255 | case ROUNDMINUS: | 
|  | 256 | if (Sgl_isone_sign(result)) | 
|  | 257 | Sgl_increment(opnd3); | 
|  | 258 | break; | 
|  | 259 | case ROUNDNEAREST: | 
|  | 260 | if (guardbit) { | 
|  | 261 | if (stickybit || Sgl_isone_lowmantissa(opnd3)) | 
|  | 262 | Sgl_increment(opnd3); | 
|  | 263 | } | 
|  | 264 | } | 
|  | 265 | if (Sgl_isone_hidden(opnd3)) dest_exponent++; | 
|  | 266 | } | 
|  | 267 | Sgl_set_mantissa(result,opnd3); | 
|  | 268 |  | 
|  | 269 | /* | 
|  | 270 | * Test for overflow | 
|  | 271 | */ | 
|  | 272 | if (dest_exponent >= SGL_INFINITY_EXPONENT) { | 
|  | 273 | /* trap if OVERFLOWTRAP enabled */ | 
|  | 274 | if (Is_overflowtrap_enabled()) { | 
|  | 275 | /* | 
|  | 276 | * Adjust bias of result | 
|  | 277 | */ | 
|  | 278 | Sgl_setwrapped_exponent(result,dest_exponent,ovfl); | 
|  | 279 | *dstptr = result; | 
|  | 280 | if (inexact) | 
|  | 281 | if (Is_inexacttrap_enabled()) | 
|  | 282 | return(OVERFLOWEXCEPTION | INEXACTEXCEPTION); | 
|  | 283 | else Set_inexactflag(); | 
|  | 284 | return(OVERFLOWEXCEPTION); | 
|  | 285 | } | 
|  | 286 | inexact = TRUE; | 
|  | 287 | Set_overflowflag(); | 
|  | 288 | /* set result to infinity or largest number */ | 
|  | 289 | Sgl_setoverflow(result); | 
|  | 290 | } | 
|  | 291 | /* | 
|  | 292 | * Test for underflow | 
|  | 293 | */ | 
|  | 294 | else if (dest_exponent <= 0) { | 
|  | 295 | /* trap if UNDERFLOWTRAP enabled */ | 
|  | 296 | if (Is_underflowtrap_enabled()) { | 
|  | 297 | /* | 
|  | 298 | * Adjust bias of result | 
|  | 299 | */ | 
|  | 300 | Sgl_setwrapped_exponent(result,dest_exponent,unfl); | 
|  | 301 | *dstptr = result; | 
|  | 302 | if (inexact) | 
|  | 303 | if (Is_inexacttrap_enabled()) | 
|  | 304 | return(UNDERFLOWEXCEPTION | INEXACTEXCEPTION); | 
|  | 305 | else Set_inexactflag(); | 
|  | 306 | return(UNDERFLOWEXCEPTION); | 
|  | 307 | } | 
|  | 308 |  | 
|  | 309 | /* Determine if should set underflow flag */ | 
|  | 310 | is_tiny = TRUE; | 
|  | 311 | if (dest_exponent == 0 && inexact) { | 
|  | 312 | switch (Rounding_mode()) { | 
|  | 313 | case ROUNDPLUS: | 
|  | 314 | if (Sgl_iszero_sign(result)) { | 
|  | 315 | Sgl_increment(opnd3); | 
|  | 316 | if (Sgl_isone_hiddenoverflow(opnd3)) | 
|  | 317 | is_tiny = FALSE; | 
|  | 318 | Sgl_decrement(opnd3); | 
|  | 319 | } | 
|  | 320 | break; | 
|  | 321 | case ROUNDMINUS: | 
|  | 322 | if (Sgl_isone_sign(result)) { | 
|  | 323 | Sgl_increment(opnd3); | 
|  | 324 | if (Sgl_isone_hiddenoverflow(opnd3)) | 
|  | 325 | is_tiny = FALSE; | 
|  | 326 | Sgl_decrement(opnd3); | 
|  | 327 | } | 
|  | 328 | break; | 
|  | 329 | case ROUNDNEAREST: | 
|  | 330 | if (guardbit && (stickybit || | 
|  | 331 | Sgl_isone_lowmantissa(opnd3))) { | 
|  | 332 | Sgl_increment(opnd3); | 
|  | 333 | if (Sgl_isone_hiddenoverflow(opnd3)) | 
|  | 334 | is_tiny = FALSE; | 
|  | 335 | Sgl_decrement(opnd3); | 
|  | 336 | } | 
|  | 337 | break; | 
|  | 338 | } | 
|  | 339 | } | 
|  | 340 |  | 
|  | 341 | /* | 
|  | 342 | * denormalize result or set to signed zero | 
|  | 343 | */ | 
|  | 344 | stickybit = inexact; | 
|  | 345 | Sgl_denormalize(opnd3,dest_exponent,guardbit,stickybit,inexact); | 
|  | 346 |  | 
|  | 347 | /* return zero or smallest number */ | 
|  | 348 | if (inexact) { | 
|  | 349 | switch (Rounding_mode()) { | 
|  | 350 | case ROUNDPLUS: | 
|  | 351 | if (Sgl_iszero_sign(result)) { | 
|  | 352 | Sgl_increment(opnd3); | 
|  | 353 | } | 
|  | 354 | break; | 
|  | 355 | case ROUNDMINUS: | 
|  | 356 | if (Sgl_isone_sign(result)) { | 
|  | 357 | Sgl_increment(opnd3); | 
|  | 358 | } | 
|  | 359 | break; | 
|  | 360 | case ROUNDNEAREST: | 
|  | 361 | if (guardbit && (stickybit || | 
|  | 362 | Sgl_isone_lowmantissa(opnd3))) { | 
|  | 363 | Sgl_increment(opnd3); | 
|  | 364 | } | 
|  | 365 | break; | 
|  | 366 | } | 
|  | 367 | if (is_tiny) Set_underflowflag(); | 
|  | 368 | } | 
|  | 369 | Sgl_set_exponentmantissa(result,opnd3); | 
|  | 370 | } | 
|  | 371 | else Sgl_set_exponent(result,dest_exponent); | 
|  | 372 | *dstptr = result; | 
|  | 373 |  | 
|  | 374 | /* check for inexact */ | 
|  | 375 | if (inexact) { | 
|  | 376 | if (Is_inexacttrap_enabled()) return(INEXACTEXCEPTION); | 
|  | 377 | else Set_inexactflag(); | 
|  | 378 | } | 
|  | 379 | return(NOEXCEPTION); | 
|  | 380 | } |