Thomas Gleixner | 660662f | 2019-05-24 12:04:10 +0200 | [diff] [blame] | 1 | // SPDX-License-Identifier: GPL-2.0-or-later |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 2 | /* |
| 3 | * Linux/PA-RISC Project (http://www.parisc-linux.org/) |
| 4 | * |
| 5 | * Floating-point emulation code |
| 6 | * Copyright (C) 2001 Hewlett-Packard (Paul Bame) <bame@debian.org> |
Linus Torvalds | 1da177e | 2005-04-16 15:20:36 -0700 | [diff] [blame] | 7 | */ |
| 8 | /* |
| 9 | * BEGIN_DESC |
| 10 | * |
| 11 | * File: |
| 12 | * @(#) pa/spmath/dfmpy.c $Revision: 1.1 $ |
| 13 | * |
| 14 | * Purpose: |
| 15 | * Double Precision Floating-point Multiply |
| 16 | * |
| 17 | * External Interfaces: |
| 18 | * dbl_fmpy(srcptr1,srcptr2,dstptr,status) |
| 19 | * |
| 20 | * Internal Interfaces: |
| 21 | * |
| 22 | * Theory: |
| 23 | * <<please update with a overview of the operation of this file>> |
| 24 | * |
| 25 | * END_DESC |
| 26 | */ |
| 27 | |
| 28 | |
| 29 | #include "float.h" |
| 30 | #include "dbl_float.h" |
| 31 | |
| 32 | /* |
| 33 | * Double Precision Floating-point Multiply |
| 34 | */ |
| 35 | |
| 36 | int |
| 37 | dbl_fmpy( |
| 38 | dbl_floating_point *srcptr1, |
| 39 | dbl_floating_point *srcptr2, |
| 40 | dbl_floating_point *dstptr, |
| 41 | unsigned int *status) |
| 42 | { |
| 43 | register unsigned int opnd1p1, opnd1p2, opnd2p1, opnd2p2; |
| 44 | register unsigned int opnd3p1, opnd3p2, resultp1, resultp2; |
| 45 | register int dest_exponent, count; |
| 46 | register boolean inexact = FALSE, guardbit = FALSE, stickybit = FALSE; |
| 47 | boolean is_tiny; |
| 48 | |
| 49 | Dbl_copyfromptr(srcptr1,opnd1p1,opnd1p2); |
| 50 | Dbl_copyfromptr(srcptr2,opnd2p1,opnd2p2); |
| 51 | |
| 52 | /* |
| 53 | * set sign bit of result |
| 54 | */ |
| 55 | if (Dbl_sign(opnd1p1) ^ Dbl_sign(opnd2p1)) |
| 56 | Dbl_setnegativezerop1(resultp1); |
| 57 | else Dbl_setzerop1(resultp1); |
| 58 | /* |
| 59 | * check first operand for NaN's or infinity |
| 60 | */ |
| 61 | if (Dbl_isinfinity_exponent(opnd1p1)) { |
| 62 | if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) { |
| 63 | if (Dbl_isnotnan(opnd2p1,opnd2p2)) { |
| 64 | if (Dbl_iszero_exponentmantissa(opnd2p1,opnd2p2)) { |
| 65 | /* |
| 66 | * invalid since operands are infinity |
| 67 | * and zero |
| 68 | */ |
| 69 | if (Is_invalidtrap_enabled()) |
| 70 | return(INVALIDEXCEPTION); |
| 71 | Set_invalidflag(); |
| 72 | Dbl_makequietnan(resultp1,resultp2); |
| 73 | Dbl_copytoptr(resultp1,resultp2,dstptr); |
| 74 | return(NOEXCEPTION); |
| 75 | } |
| 76 | /* |
| 77 | * return infinity |
| 78 | */ |
| 79 | Dbl_setinfinity_exponentmantissa(resultp1,resultp2); |
| 80 | Dbl_copytoptr(resultp1,resultp2,dstptr); |
| 81 | return(NOEXCEPTION); |
| 82 | } |
| 83 | } |
| 84 | else { |
| 85 | /* |
| 86 | * is NaN; signaling or quiet? |
| 87 | */ |
| 88 | if (Dbl_isone_signaling(opnd1p1)) { |
| 89 | /* trap if INVALIDTRAP enabled */ |
| 90 | if (Is_invalidtrap_enabled()) |
| 91 | return(INVALIDEXCEPTION); |
| 92 | /* make NaN quiet */ |
| 93 | Set_invalidflag(); |
| 94 | Dbl_set_quiet(opnd1p1); |
| 95 | } |
| 96 | /* |
| 97 | * is second operand a signaling NaN? |
| 98 | */ |
| 99 | else if (Dbl_is_signalingnan(opnd2p1)) { |
| 100 | /* trap if INVALIDTRAP enabled */ |
| 101 | if (Is_invalidtrap_enabled()) |
| 102 | return(INVALIDEXCEPTION); |
| 103 | /* make NaN quiet */ |
| 104 | Set_invalidflag(); |
| 105 | Dbl_set_quiet(opnd2p1); |
| 106 | Dbl_copytoptr(opnd2p1,opnd2p2,dstptr); |
| 107 | return(NOEXCEPTION); |
| 108 | } |
| 109 | /* |
| 110 | * return quiet NaN |
| 111 | */ |
| 112 | Dbl_copytoptr(opnd1p1,opnd1p2,dstptr); |
| 113 | return(NOEXCEPTION); |
| 114 | } |
| 115 | } |
| 116 | /* |
| 117 | * check second operand for NaN's or infinity |
| 118 | */ |
| 119 | if (Dbl_isinfinity_exponent(opnd2p1)) { |
| 120 | if (Dbl_iszero_mantissa(opnd2p1,opnd2p2)) { |
| 121 | if (Dbl_iszero_exponentmantissa(opnd1p1,opnd1p2)) { |
| 122 | /* invalid since operands are zero & infinity */ |
| 123 | if (Is_invalidtrap_enabled()) |
| 124 | return(INVALIDEXCEPTION); |
| 125 | Set_invalidflag(); |
| 126 | Dbl_makequietnan(opnd2p1,opnd2p2); |
| 127 | Dbl_copytoptr(opnd2p1,opnd2p2,dstptr); |
| 128 | return(NOEXCEPTION); |
| 129 | } |
| 130 | /* |
| 131 | * return infinity |
| 132 | */ |
| 133 | Dbl_setinfinity_exponentmantissa(resultp1,resultp2); |
| 134 | Dbl_copytoptr(resultp1,resultp2,dstptr); |
| 135 | return(NOEXCEPTION); |
| 136 | } |
| 137 | /* |
| 138 | * is NaN; signaling or quiet? |
| 139 | */ |
| 140 | if (Dbl_isone_signaling(opnd2p1)) { |
| 141 | /* trap if INVALIDTRAP enabled */ |
| 142 | if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION); |
| 143 | /* make NaN quiet */ |
| 144 | Set_invalidflag(); |
| 145 | Dbl_set_quiet(opnd2p1); |
| 146 | } |
| 147 | /* |
| 148 | * return quiet NaN |
| 149 | */ |
| 150 | Dbl_copytoptr(opnd2p1,opnd2p2,dstptr); |
| 151 | return(NOEXCEPTION); |
| 152 | } |
| 153 | /* |
| 154 | * Generate exponent |
| 155 | */ |
| 156 | dest_exponent = Dbl_exponent(opnd1p1) + Dbl_exponent(opnd2p1) -DBL_BIAS; |
| 157 | |
| 158 | /* |
| 159 | * Generate mantissa |
| 160 | */ |
| 161 | if (Dbl_isnotzero_exponent(opnd1p1)) { |
| 162 | /* set hidden bit */ |
| 163 | Dbl_clear_signexponent_set_hidden(opnd1p1); |
| 164 | } |
| 165 | else { |
| 166 | /* check for zero */ |
| 167 | if (Dbl_iszero_mantissa(opnd1p1,opnd1p2)) { |
| 168 | Dbl_setzero_exponentmantissa(resultp1,resultp2); |
| 169 | Dbl_copytoptr(resultp1,resultp2,dstptr); |
| 170 | return(NOEXCEPTION); |
| 171 | } |
| 172 | /* is denormalized, adjust exponent */ |
| 173 | Dbl_clear_signexponent(opnd1p1); |
| 174 | Dbl_leftshiftby1(opnd1p1,opnd1p2); |
| 175 | Dbl_normalize(opnd1p1,opnd1p2,dest_exponent); |
| 176 | } |
| 177 | /* opnd2 needs to have hidden bit set with msb in hidden bit */ |
| 178 | if (Dbl_isnotzero_exponent(opnd2p1)) { |
| 179 | Dbl_clear_signexponent_set_hidden(opnd2p1); |
| 180 | } |
| 181 | else { |
| 182 | /* check for zero */ |
| 183 | if (Dbl_iszero_mantissa(opnd2p1,opnd2p2)) { |
| 184 | Dbl_setzero_exponentmantissa(resultp1,resultp2); |
| 185 | Dbl_copytoptr(resultp1,resultp2,dstptr); |
| 186 | return(NOEXCEPTION); |
| 187 | } |
| 188 | /* is denormalized; want to normalize */ |
| 189 | Dbl_clear_signexponent(opnd2p1); |
| 190 | Dbl_leftshiftby1(opnd2p1,opnd2p2); |
| 191 | Dbl_normalize(opnd2p1,opnd2p2,dest_exponent); |
| 192 | } |
| 193 | |
| 194 | /* Multiply two source mantissas together */ |
| 195 | |
| 196 | /* make room for guard bits */ |
| 197 | Dbl_leftshiftby7(opnd2p1,opnd2p2); |
| 198 | Dbl_setzero(opnd3p1,opnd3p2); |
| 199 | /* |
| 200 | * Four bits at a time are inspected in each loop, and a |
| 201 | * simple shift and add multiply algorithm is used. |
| 202 | */ |
| 203 | for (count=1;count<=DBL_P;count+=4) { |
| 204 | stickybit |= Dlow4p2(opnd3p2); |
| 205 | Dbl_rightshiftby4(opnd3p1,opnd3p2); |
| 206 | if (Dbit28p2(opnd1p2)) { |
| 207 | /* Twoword_add should be an ADDC followed by an ADD. */ |
| 208 | Twoword_add(opnd3p1, opnd3p2, opnd2p1<<3 | opnd2p2>>29, |
| 209 | opnd2p2<<3); |
| 210 | } |
| 211 | if (Dbit29p2(opnd1p2)) { |
| 212 | Twoword_add(opnd3p1, opnd3p2, opnd2p1<<2 | opnd2p2>>30, |
| 213 | opnd2p2<<2); |
| 214 | } |
| 215 | if (Dbit30p2(opnd1p2)) { |
| 216 | Twoword_add(opnd3p1, opnd3p2, opnd2p1<<1 | opnd2p2>>31, |
| 217 | opnd2p2<<1); |
| 218 | } |
| 219 | if (Dbit31p2(opnd1p2)) { |
| 220 | Twoword_add(opnd3p1, opnd3p2, opnd2p1, opnd2p2); |
| 221 | } |
| 222 | Dbl_rightshiftby4(opnd1p1,opnd1p2); |
| 223 | } |
| 224 | if (Dbit3p1(opnd3p1)==0) { |
| 225 | Dbl_leftshiftby1(opnd3p1,opnd3p2); |
| 226 | } |
| 227 | else { |
| 228 | /* result mantissa >= 2. */ |
| 229 | dest_exponent++; |
| 230 | } |
| 231 | /* check for denormalized result */ |
| 232 | while (Dbit3p1(opnd3p1)==0) { |
| 233 | Dbl_leftshiftby1(opnd3p1,opnd3p2); |
| 234 | dest_exponent--; |
| 235 | } |
| 236 | /* |
| 237 | * check for guard, sticky and inexact bits |
| 238 | */ |
| 239 | stickybit |= Dallp2(opnd3p2) << 25; |
| 240 | guardbit = (Dallp2(opnd3p2) << 24) >> 31; |
| 241 | inexact = guardbit | stickybit; |
| 242 | |
| 243 | /* align result mantissa */ |
| 244 | Dbl_rightshiftby8(opnd3p1,opnd3p2); |
| 245 | |
| 246 | /* |
| 247 | * round result |
| 248 | */ |
| 249 | if (inexact && (dest_exponent>0 || Is_underflowtrap_enabled())) { |
| 250 | Dbl_clear_signexponent(opnd3p1); |
| 251 | switch (Rounding_mode()) { |
| 252 | case ROUNDPLUS: |
| 253 | if (Dbl_iszero_sign(resultp1)) |
| 254 | Dbl_increment(opnd3p1,opnd3p2); |
| 255 | break; |
| 256 | case ROUNDMINUS: |
| 257 | if (Dbl_isone_sign(resultp1)) |
| 258 | Dbl_increment(opnd3p1,opnd3p2); |
| 259 | break; |
| 260 | case ROUNDNEAREST: |
| 261 | if (guardbit) { |
| 262 | if (stickybit || Dbl_isone_lowmantissap2(opnd3p2)) |
| 263 | Dbl_increment(opnd3p1,opnd3p2); |
| 264 | } |
| 265 | } |
| 266 | if (Dbl_isone_hidden(opnd3p1)) dest_exponent++; |
| 267 | } |
| 268 | Dbl_set_mantissa(resultp1,resultp2,opnd3p1,opnd3p2); |
| 269 | |
| 270 | /* |
| 271 | * Test for overflow |
| 272 | */ |
| 273 | if (dest_exponent >= DBL_INFINITY_EXPONENT) { |
| 274 | /* trap if OVERFLOWTRAP enabled */ |
| 275 | if (Is_overflowtrap_enabled()) { |
| 276 | /* |
| 277 | * Adjust bias of result |
| 278 | */ |
| 279 | Dbl_setwrapped_exponent(resultp1,dest_exponent,ovfl); |
| 280 | Dbl_copytoptr(resultp1,resultp2,dstptr); |
| 281 | if (inexact) |
| 282 | if (Is_inexacttrap_enabled()) |
| 283 | return (OVERFLOWEXCEPTION | INEXACTEXCEPTION); |
| 284 | else Set_inexactflag(); |
| 285 | return (OVERFLOWEXCEPTION); |
| 286 | } |
| 287 | inexact = TRUE; |
| 288 | Set_overflowflag(); |
| 289 | /* set result to infinity or largest number */ |
| 290 | Dbl_setoverflow(resultp1,resultp2); |
| 291 | } |
| 292 | /* |
| 293 | * Test for underflow |
| 294 | */ |
| 295 | else if (dest_exponent <= 0) { |
| 296 | /* trap if UNDERFLOWTRAP enabled */ |
| 297 | if (Is_underflowtrap_enabled()) { |
| 298 | /* |
| 299 | * Adjust bias of result |
| 300 | */ |
| 301 | Dbl_setwrapped_exponent(resultp1,dest_exponent,unfl); |
| 302 | Dbl_copytoptr(resultp1,resultp2,dstptr); |
| 303 | if (inexact) |
| 304 | if (Is_inexacttrap_enabled()) |
| 305 | return (UNDERFLOWEXCEPTION | INEXACTEXCEPTION); |
| 306 | else Set_inexactflag(); |
| 307 | return (UNDERFLOWEXCEPTION); |
| 308 | } |
| 309 | |
| 310 | /* Determine if should set underflow flag */ |
| 311 | is_tiny = TRUE; |
| 312 | if (dest_exponent == 0 && inexact) { |
| 313 | switch (Rounding_mode()) { |
| 314 | case ROUNDPLUS: |
| 315 | if (Dbl_iszero_sign(resultp1)) { |
| 316 | Dbl_increment(opnd3p1,opnd3p2); |
| 317 | if (Dbl_isone_hiddenoverflow(opnd3p1)) |
| 318 | is_tiny = FALSE; |
| 319 | Dbl_decrement(opnd3p1,opnd3p2); |
| 320 | } |
| 321 | break; |
| 322 | case ROUNDMINUS: |
| 323 | if (Dbl_isone_sign(resultp1)) { |
| 324 | Dbl_increment(opnd3p1,opnd3p2); |
| 325 | if (Dbl_isone_hiddenoverflow(opnd3p1)) |
| 326 | is_tiny = FALSE; |
| 327 | Dbl_decrement(opnd3p1,opnd3p2); |
| 328 | } |
| 329 | break; |
| 330 | case ROUNDNEAREST: |
| 331 | if (guardbit && (stickybit || |
| 332 | Dbl_isone_lowmantissap2(opnd3p2))) { |
| 333 | Dbl_increment(opnd3p1,opnd3p2); |
| 334 | if (Dbl_isone_hiddenoverflow(opnd3p1)) |
| 335 | is_tiny = FALSE; |
| 336 | Dbl_decrement(opnd3p1,opnd3p2); |
| 337 | } |
| 338 | break; |
| 339 | } |
| 340 | } |
| 341 | |
| 342 | /* |
| 343 | * denormalize result or set to signed zero |
| 344 | */ |
| 345 | stickybit = inexact; |
| 346 | Dbl_denormalize(opnd3p1,opnd3p2,dest_exponent,guardbit, |
| 347 | stickybit,inexact); |
| 348 | |
| 349 | /* return zero or smallest number */ |
| 350 | if (inexact) { |
| 351 | switch (Rounding_mode()) { |
| 352 | case ROUNDPLUS: |
| 353 | if (Dbl_iszero_sign(resultp1)) { |
| 354 | Dbl_increment(opnd3p1,opnd3p2); |
| 355 | } |
| 356 | break; |
| 357 | case ROUNDMINUS: |
| 358 | if (Dbl_isone_sign(resultp1)) { |
| 359 | Dbl_increment(opnd3p1,opnd3p2); |
| 360 | } |
| 361 | break; |
| 362 | case ROUNDNEAREST: |
| 363 | if (guardbit && (stickybit || |
| 364 | Dbl_isone_lowmantissap2(opnd3p2))) { |
| 365 | Dbl_increment(opnd3p1,opnd3p2); |
| 366 | } |
| 367 | break; |
| 368 | } |
| 369 | if (is_tiny) Set_underflowflag(); |
| 370 | } |
| 371 | Dbl_set_exponentmantissa(resultp1,resultp2,opnd3p1,opnd3p2); |
| 372 | } |
| 373 | else Dbl_set_exponent(resultp1,dest_exponent); |
| 374 | /* check for inexact */ |
| 375 | Dbl_copytoptr(resultp1,resultp2,dstptr); |
| 376 | if (inexact) { |
| 377 | if (Is_inexacttrap_enabled()) return(INEXACTEXCEPTION); |
| 378 | else Set_inexactflag(); |
| 379 | } |
| 380 | return(NOEXCEPTION); |
| 381 | } |