1 1.5 skrll /* $NetBSD: sfmpy.c,v 1.5 2012/02/04 17:03:10 skrll Exp $ */ 2 1.1 fredette 3 1.1 fredette /* $OpenBSD: sfmpy.c,v 1.4 2001/03/29 03:58:19 mickey Exp $ */ 4 1.1 fredette 5 1.1 fredette /* 6 1.1 fredette * Copyright 1996 1995 by Open Software Foundation, Inc. 7 1.1 fredette * All Rights Reserved 8 1.1 fredette * 9 1.1 fredette * Permission to use, copy, modify, and distribute this software and 10 1.1 fredette * its documentation for any purpose and without fee is hereby granted, 11 1.1 fredette * provided that the above copyright notice appears in all copies and 12 1.1 fredette * that both the copyright notice and this permission notice appear in 13 1.1 fredette * supporting documentation. 14 1.1 fredette * 15 1.1 fredette * OSF DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE 16 1.1 fredette * INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS 17 1.1 fredette * FOR A PARTICULAR PURPOSE. 18 1.1 fredette * 19 1.1 fredette * IN NO EVENT SHALL OSF BE LIABLE FOR ANY SPECIAL, INDIRECT, OR 20 1.1 fredette * CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM 21 1.1 fredette * LOSS OF USE, DATA OR PROFITS, WHETHER IN ACTION OF CONTRACT, 22 1.1 fredette * NEGLIGENCE, OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION 23 1.1 fredette * WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. 24 1.1 fredette * 25 1.1 fredette */ 26 1.1 fredette /* 27 1.1 fredette * pmk1.1 28 1.1 fredette */ 29 1.1 fredette /* 30 1.1 fredette * (c) Copyright 1986 HEWLETT-PACKARD COMPANY 31 1.1 fredette * 32 1.1 fredette * To anyone who acknowledges that this file is provided "AS IS" 33 1.1 fredette * without any express or implied warranty: 34 1.1 fredette * permission to use, copy, modify, and distribute this file 35 1.1 fredette * for any purpose is hereby granted without fee, provided that 36 1.1 fredette * the above copyright notice and this notice appears in all 37 1.1 fredette * copies, and that the name of Hewlett-Packard Company not be 38 1.1 fredette * used in advertising or publicity pertaining to distribution 39 1.1 fredette * of the software without specific, written prior permission. 40 1.1 fredette * Hewlett-Packard Company makes no representations about the 41 1.1 fredette * suitability of this software for any purpose. 42 1.1 fredette */ 43 1.2 lukem 44 1.2 lukem #include <sys/cdefs.h> 45 1.5 skrll __KERNEL_RCSID(0, "$NetBSD: sfmpy.c,v 1.5 2012/02/04 17:03:10 skrll Exp $"); 46 1.1 fredette 47 1.1 fredette #include "../spmath/float.h" 48 1.1 fredette #include "../spmath/sgl_float.h" 49 1.1 fredette 50 1.1 fredette /* 51 1.1 fredette * Single Precision Floating-point Multiply 52 1.1 fredette */ 53 1.1 fredette int 54 1.5 skrll sgl_fmpy(sgl_floating_point *srcptr1, sgl_floating_point *srcptr2, 55 1.5 skrll sgl_floating_point *dstptr, unsigned int *status) 56 1.1 fredette { 57 1.1 fredette register unsigned int opnd1, opnd2, opnd3, result; 58 1.1 fredette register int dest_exponent, count; 59 1.4 thorpej register int inexact = false, guardbit = false, stickybit = false; 60 1.1 fredette int is_tiny; 61 1.1 fredette 62 1.1 fredette opnd1 = *srcptr1; 63 1.1 fredette opnd2 = *srcptr2; 64 1.1 fredette /* 65 1.1 fredette * set sign bit of result 66 1.1 fredette */ 67 1.1 fredette if (Sgl_sign(opnd1) ^ Sgl_sign(opnd2)) Sgl_setnegativezero(result); 68 1.1 fredette else Sgl_setzero(result); 69 1.1 fredette /* 70 1.1 fredette * check first operand for NaN's or infinity 71 1.1 fredette */ 72 1.1 fredette if (Sgl_isinfinity_exponent(opnd1)) { 73 1.1 fredette if (Sgl_iszero_mantissa(opnd1)) { 74 1.1 fredette if (Sgl_isnotnan(opnd2)) { 75 1.1 fredette if (Sgl_iszero_exponentmantissa(opnd2)) { 76 1.1 fredette /* 77 1.1 fredette * invalid since operands are infinity 78 1.1 fredette * and zero 79 1.1 fredette */ 80 1.1 fredette if (Is_invalidtrap_enabled()) 81 1.1 fredette return(INVALIDEXCEPTION); 82 1.1 fredette Set_invalidflag(); 83 1.1 fredette Sgl_makequietnan(result); 84 1.1 fredette *dstptr = result; 85 1.1 fredette return(NOEXCEPTION); 86 1.1 fredette } 87 1.1 fredette /* 88 1.1 fredette * return infinity 89 1.1 fredette */ 90 1.1 fredette Sgl_setinfinity_exponentmantissa(result); 91 1.1 fredette *dstptr = result; 92 1.1 fredette return(NOEXCEPTION); 93 1.1 fredette } 94 1.1 fredette } 95 1.1 fredette else { 96 1.1 fredette /* 97 1.1 fredette * is NaN; signaling or quiet? 98 1.1 fredette */ 99 1.1 fredette if (Sgl_isone_signaling(opnd1)) { 100 1.1 fredette /* trap if INVALIDTRAP enabled */ 101 1.1 fredette if (Is_invalidtrap_enabled()) 102 1.1 fredette return(INVALIDEXCEPTION); 103 1.1 fredette /* make NaN quiet */ 104 1.1 fredette Set_invalidflag(); 105 1.1 fredette Sgl_set_quiet(opnd1); 106 1.1 fredette } 107 1.1 fredette /* 108 1.1 fredette * is second operand a signaling NaN? 109 1.1 fredette */ 110 1.1 fredette else if (Sgl_is_signalingnan(opnd2)) { 111 1.1 fredette /* trap if INVALIDTRAP enabled */ 112 1.1 fredette if (Is_invalidtrap_enabled()) 113 1.1 fredette return(INVALIDEXCEPTION); 114 1.1 fredette /* make NaN quiet */ 115 1.1 fredette Set_invalidflag(); 116 1.1 fredette Sgl_set_quiet(opnd2); 117 1.1 fredette *dstptr = opnd2; 118 1.1 fredette return(NOEXCEPTION); 119 1.1 fredette } 120 1.1 fredette /* 121 1.1 fredette * return quiet NaN 122 1.1 fredette */ 123 1.1 fredette *dstptr = opnd1; 124 1.1 fredette return(NOEXCEPTION); 125 1.1 fredette } 126 1.1 fredette } 127 1.1 fredette /* 128 1.1 fredette * check second operand for NaN's or infinity 129 1.1 fredette */ 130 1.1 fredette if (Sgl_isinfinity_exponent(opnd2)) { 131 1.1 fredette if (Sgl_iszero_mantissa(opnd2)) { 132 1.1 fredette if (Sgl_iszero_exponentmantissa(opnd1)) { 133 1.1 fredette /* invalid since operands are zero & infinity */ 134 1.1 fredette if (Is_invalidtrap_enabled()) 135 1.1 fredette return(INVALIDEXCEPTION); 136 1.1 fredette Set_invalidflag(); 137 1.1 fredette Sgl_makequietnan(opnd2); 138 1.1 fredette *dstptr = opnd2; 139 1.1 fredette return(NOEXCEPTION); 140 1.1 fredette } 141 1.1 fredette /* 142 1.1 fredette * return infinity 143 1.1 fredette */ 144 1.1 fredette Sgl_setinfinity_exponentmantissa(result); 145 1.1 fredette *dstptr = result; 146 1.1 fredette return(NOEXCEPTION); 147 1.1 fredette } 148 1.1 fredette /* 149 1.1 fredette * is NaN; signaling or quiet? 150 1.1 fredette */ 151 1.1 fredette if (Sgl_isone_signaling(opnd2)) { 152 1.1 fredette /* trap if INVALIDTRAP enabled */ 153 1.1 fredette if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION); 154 1.1 fredette 155 1.1 fredette /* make NaN quiet */ 156 1.1 fredette Set_invalidflag(); 157 1.1 fredette Sgl_set_quiet(opnd2); 158 1.1 fredette } 159 1.1 fredette /* 160 1.1 fredette * return quiet NaN 161 1.1 fredette */ 162 1.1 fredette *dstptr = opnd2; 163 1.1 fredette return(NOEXCEPTION); 164 1.1 fredette } 165 1.1 fredette /* 166 1.1 fredette * Generate exponent 167 1.1 fredette */ 168 1.1 fredette dest_exponent = Sgl_exponent(opnd1) + Sgl_exponent(opnd2) - SGL_BIAS; 169 1.1 fredette 170 1.1 fredette /* 171 1.1 fredette * Generate mantissa 172 1.1 fredette */ 173 1.1 fredette if (Sgl_isnotzero_exponent(opnd1)) { 174 1.1 fredette /* set hidden bit */ 175 1.1 fredette Sgl_clear_signexponent_set_hidden(opnd1); 176 1.1 fredette } 177 1.1 fredette else { 178 1.1 fredette /* check for zero */ 179 1.1 fredette if (Sgl_iszero_mantissa(opnd1)) { 180 1.1 fredette Sgl_setzero_exponentmantissa(result); 181 1.1 fredette *dstptr = result; 182 1.1 fredette return(NOEXCEPTION); 183 1.1 fredette } 184 1.1 fredette /* is denormalized, adjust exponent */ 185 1.1 fredette Sgl_clear_signexponent(opnd1); 186 1.1 fredette Sgl_leftshiftby1(opnd1); 187 1.1 fredette Sgl_normalize(opnd1,dest_exponent); 188 1.1 fredette } 189 1.1 fredette /* opnd2 needs to have hidden bit set with msb in hidden bit */ 190 1.1 fredette if (Sgl_isnotzero_exponent(opnd2)) { 191 1.1 fredette Sgl_clear_signexponent_set_hidden(opnd2); 192 1.1 fredette } 193 1.1 fredette else { 194 1.1 fredette /* check for zero */ 195 1.1 fredette if (Sgl_iszero_mantissa(opnd2)) { 196 1.1 fredette Sgl_setzero_exponentmantissa(result); 197 1.1 fredette *dstptr = result; 198 1.1 fredette return(NOEXCEPTION); 199 1.1 fredette } 200 1.1 fredette /* is denormalized; want to normalize */ 201 1.1 fredette Sgl_clear_signexponent(opnd2); 202 1.1 fredette Sgl_leftshiftby1(opnd2); 203 1.1 fredette Sgl_normalize(opnd2,dest_exponent); 204 1.1 fredette } 205 1.1 fredette 206 1.1 fredette /* Multiply two source mantissas together */ 207 1.1 fredette 208 1.1 fredette Sgl_leftshiftby4(opnd2); /* make room for guard bits */ 209 1.1 fredette Sgl_setzero(opnd3); 210 1.1 fredette /* 211 1.1 fredette * Four bits at a time are inspected in each loop, and a 212 1.1 fredette * simple shift and add multiply algorithm is used. 213 1.1 fredette */ 214 1.1 fredette for (count=1;count<SGL_P;count+=4) { 215 1.1 fredette stickybit |= Slow4(opnd3); 216 1.1 fredette Sgl_rightshiftby4(opnd3); 217 1.1 fredette if (Sbit28(opnd1)) Sall(opnd3) += (Sall(opnd2) << 3); 218 1.1 fredette if (Sbit29(opnd1)) Sall(opnd3) += (Sall(opnd2) << 2); 219 1.1 fredette if (Sbit30(opnd1)) Sall(opnd3) += (Sall(opnd2) << 1); 220 1.1 fredette if (Sbit31(opnd1)) Sall(opnd3) += Sall(opnd2); 221 1.1 fredette Sgl_rightshiftby4(opnd1); 222 1.1 fredette } 223 1.1 fredette /* make sure result is left-justified */ 224 1.1 fredette if (Sgl_iszero_sign(opnd3)) { 225 1.1 fredette Sgl_leftshiftby1(opnd3); 226 1.1 fredette } 227 1.1 fredette else { 228 1.1 fredette /* result mantissa >= 2. */ 229 1.1 fredette dest_exponent++; 230 1.1 fredette } 231 1.1 fredette /* check for denormalized result */ 232 1.1 fredette while (Sgl_iszero_sign(opnd3)) { 233 1.1 fredette Sgl_leftshiftby1(opnd3); 234 1.1 fredette dest_exponent--; 235 1.1 fredette } 236 1.1 fredette /* 237 1.1 fredette * check for guard, sticky and inexact bits 238 1.1 fredette */ 239 1.1 fredette stickybit |= Sgl_all(opnd3) << (SGL_BITLENGTH - SGL_EXP_LENGTH + 1); 240 1.1 fredette guardbit = Sbit24(opnd3); 241 1.1 fredette inexact = guardbit | stickybit; 242 1.1 fredette 243 1.1 fredette /* re-align mantissa */ 244 1.1 fredette Sgl_rightshiftby8(opnd3); 245 1.1 fredette 246 1.1 fredette /* 247 1.1 fredette * round result 248 1.1 fredette */ 249 1.1 fredette if (inexact && (dest_exponent>0 || Is_underflowtrap_enabled())) { 250 1.1 fredette Sgl_clear_signexponent(opnd3); 251 1.1 fredette switch (Rounding_mode()) { 252 1.1 fredette case ROUNDPLUS: 253 1.1 fredette if (Sgl_iszero_sign(result)) 254 1.1 fredette Sgl_increment(opnd3); 255 1.1 fredette break; 256 1.1 fredette case ROUNDMINUS: 257 1.1 fredette if (Sgl_isone_sign(result)) 258 1.1 fredette Sgl_increment(opnd3); 259 1.1 fredette break; 260 1.1 fredette case ROUNDNEAREST: 261 1.1 fredette if (guardbit && 262 1.1 fredette (stickybit || Sgl_isone_lowmantissa(opnd3))) 263 1.1 fredette Sgl_increment(opnd3); 264 1.1 fredette break; 265 1.1 fredette } 266 1.1 fredette if (Sgl_isone_hidden(opnd3)) dest_exponent++; 267 1.1 fredette } 268 1.1 fredette Sgl_set_mantissa(result,opnd3); 269 1.1 fredette 270 1.1 fredette /* 271 1.1 fredette * Test for overflow 272 1.1 fredette */ 273 1.1 fredette if (dest_exponent >= SGL_INFINITY_EXPONENT) { 274 1.1 fredette /* trap if OVERFLOWTRAP enabled */ 275 1.1 fredette if (Is_overflowtrap_enabled()) { 276 1.1 fredette /* 277 1.1 fredette * Adjust bias of result 278 1.1 fredette */ 279 1.1 fredette Sgl_setwrapped_exponent(result,dest_exponent,ovfl); 280 1.1 fredette *dstptr = result; 281 1.1 fredette if (inexact) { 282 1.1 fredette if (Is_inexacttrap_enabled()) 283 1.1 fredette return(OVERFLOWEXCEPTION | INEXACTEXCEPTION); 284 1.1 fredette else Set_inexactflag(); 285 1.1 fredette } 286 1.1 fredette return(OVERFLOWEXCEPTION); 287 1.1 fredette } 288 1.4 thorpej inexact = true; 289 1.1 fredette Set_overflowflag(); 290 1.1 fredette /* set result to infinity or largest number */ 291 1.1 fredette Sgl_setoverflow(result); 292 1.1 fredette } 293 1.1 fredette /* 294 1.1 fredette * Test for underflow 295 1.1 fredette */ 296 1.1 fredette else if (dest_exponent <= 0) { 297 1.1 fredette /* trap if UNDERFLOWTRAP enabled */ 298 1.1 fredette if (Is_underflowtrap_enabled()) { 299 1.1 fredette /* 300 1.1 fredette * Adjust bias of result 301 1.1 fredette */ 302 1.1 fredette Sgl_setwrapped_exponent(result,dest_exponent,unfl); 303 1.1 fredette *dstptr = result; 304 1.1 fredette if (inexact) { 305 1.1 fredette if (Is_inexacttrap_enabled()) 306 1.1 fredette return(UNDERFLOWEXCEPTION | INEXACTEXCEPTION); 307 1.1 fredette else Set_inexactflag(); 308 1.1 fredette } 309 1.1 fredette return(UNDERFLOWEXCEPTION); 310 1.1 fredette } 311 1.1 fredette 312 1.1 fredette /* Determine if should set underflow flag */ 313 1.4 thorpej is_tiny = true; 314 1.1 fredette if (dest_exponent == 0 && inexact) { 315 1.1 fredette switch (Rounding_mode()) { 316 1.1 fredette case ROUNDPLUS: 317 1.1 fredette if (Sgl_iszero_sign(result)) { 318 1.1 fredette Sgl_increment(opnd3); 319 1.1 fredette if (Sgl_isone_hiddenoverflow(opnd3)) 320 1.4 thorpej is_tiny = false; 321 1.1 fredette Sgl_decrement(opnd3); 322 1.1 fredette } 323 1.1 fredette break; 324 1.1 fredette case ROUNDMINUS: 325 1.1 fredette if (Sgl_isone_sign(result)) { 326 1.1 fredette Sgl_increment(opnd3); 327 1.1 fredette if (Sgl_isone_hiddenoverflow(opnd3)) 328 1.4 thorpej is_tiny = false; 329 1.1 fredette Sgl_decrement(opnd3); 330 1.1 fredette } 331 1.1 fredette break; 332 1.1 fredette case ROUNDNEAREST: 333 1.1 fredette if (guardbit && (stickybit || 334 1.1 fredette Sgl_isone_lowmantissa(opnd3))) { 335 1.1 fredette Sgl_increment(opnd3); 336 1.1 fredette if (Sgl_isone_hiddenoverflow(opnd3)) 337 1.4 thorpej is_tiny = false; 338 1.1 fredette Sgl_decrement(opnd3); 339 1.1 fredette } 340 1.1 fredette break; 341 1.1 fredette } 342 1.1 fredette } 343 1.1 fredette 344 1.1 fredette /* 345 1.1 fredette * denormalize result or set to signed zero 346 1.1 fredette */ 347 1.1 fredette stickybit = inexact; 348 1.1 fredette Sgl_denormalize(opnd3,dest_exponent,guardbit,stickybit,inexact); 349 1.1 fredette 350 1.1 fredette /* return zero or smallest number */ 351 1.1 fredette if (inexact) { 352 1.1 fredette switch (Rounding_mode()) { 353 1.1 fredette case ROUNDPLUS: 354 1.1 fredette if (Sgl_iszero_sign(result)) 355 1.1 fredette Sgl_increment(opnd3); 356 1.1 fredette break; 357 1.1 fredette case ROUNDMINUS: 358 1.1 fredette if (Sgl_isone_sign(result)) 359 1.1 fredette Sgl_increment(opnd3); 360 1.1 fredette break; 361 1.1 fredette case ROUNDNEAREST: 362 1.1 fredette if (guardbit && (stickybit || 363 1.1 fredette Sgl_isone_lowmantissa(opnd3))) 364 1.1 fredette Sgl_increment(opnd3); 365 1.1 fredette break; 366 1.1 fredette } 367 1.1 fredette if (is_tiny) Set_underflowflag(); 368 1.1 fredette } 369 1.1 fredette Sgl_set_exponentmantissa(result,opnd3); 370 1.1 fredette } 371 1.1 fredette else Sgl_set_exponent(result,dest_exponent); 372 1.1 fredette *dstptr = result; 373 1.1 fredette 374 1.1 fredette /* check for inexact */ 375 1.1 fredette if (inexact) { 376 1.1 fredette if (Is_inexacttrap_enabled()) return(INEXACTEXCEPTION); 377 1.1 fredette else Set_inexactflag(); 378 1.1 fredette } 379 1.1 fredette return(NOEXCEPTION); 380 1.1 fredette } 381