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/sfmpy.c $Revision: 1.1 $ |
| 13 | * |
| 14 | * Purpose: |
| 15 | * Single Precision Floating-point Multiply |
| 16 | * |
| 17 | * External Interfaces: |
| 18 | * sgl_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 "sgl_float.h" |
| 31 | |
| 32 | /* |
| 33 | * Single Precision Floating-point Multiply |
| 34 | */ |
| 35 | |
| 36 | int |
| 37 | sgl_fmpy( |
| 38 | sgl_floating_point *srcptr1, |
| 39 | sgl_floating_point *srcptr2, |
| 40 | sgl_floating_point *dstptr, |
| 41 | unsigned int *status) |
| 42 | { |
| 43 | register unsigned int opnd1, opnd2, opnd3, result; |
| 44 | register int dest_exponent, count; |
| 45 | register boolean inexact = FALSE, guardbit = FALSE, stickybit = FALSE; |
| 46 | boolean is_tiny; |
| 47 | |
| 48 | opnd1 = *srcptr1; |
| 49 | opnd2 = *srcptr2; |
| 50 | /* |
| 51 | * set sign bit of result |
| 52 | */ |
| 53 | if (Sgl_sign(opnd1) ^ Sgl_sign(opnd2)) Sgl_setnegativezero(result); |
| 54 | else Sgl_setzero(result); |
| 55 | /* |
| 56 | * check first operand for NaN's or infinity |
| 57 | */ |
| 58 | if (Sgl_isinfinity_exponent(opnd1)) { |
| 59 | if (Sgl_iszero_mantissa(opnd1)) { |
| 60 | if (Sgl_isnotnan(opnd2)) { |
| 61 | if (Sgl_iszero_exponentmantissa(opnd2)) { |
| 62 | /* |
| 63 | * invalid since operands are infinity |
| 64 | * and zero |
| 65 | */ |
| 66 | if (Is_invalidtrap_enabled()) |
| 67 | return(INVALIDEXCEPTION); |
| 68 | Set_invalidflag(); |
| 69 | Sgl_makequietnan(result); |
| 70 | *dstptr = result; |
| 71 | return(NOEXCEPTION); |
| 72 | } |
| 73 | /* |
| 74 | * return infinity |
| 75 | */ |
| 76 | Sgl_setinfinity_exponentmantissa(result); |
| 77 | *dstptr = result; |
| 78 | return(NOEXCEPTION); |
| 79 | } |
| 80 | } |
| 81 | else { |
| 82 | /* |
| 83 | * is NaN; signaling or quiet? |
| 84 | */ |
| 85 | if (Sgl_isone_signaling(opnd1)) { |
| 86 | /* trap if INVALIDTRAP enabled */ |
| 87 | if (Is_invalidtrap_enabled()) |
| 88 | return(INVALIDEXCEPTION); |
| 89 | /* make NaN quiet */ |
| 90 | Set_invalidflag(); |
| 91 | Sgl_set_quiet(opnd1); |
| 92 | } |
| 93 | /* |
| 94 | * is second operand a signaling NaN? |
| 95 | */ |
| 96 | else if (Sgl_is_signalingnan(opnd2)) { |
| 97 | /* trap if INVALIDTRAP enabled */ |
| 98 | if (Is_invalidtrap_enabled()) |
| 99 | return(INVALIDEXCEPTION); |
| 100 | /* make NaN quiet */ |
| 101 | Set_invalidflag(); |
| 102 | Sgl_set_quiet(opnd2); |
| 103 | *dstptr = opnd2; |
| 104 | return(NOEXCEPTION); |
| 105 | } |
| 106 | /* |
| 107 | * return quiet NaN |
| 108 | */ |
| 109 | *dstptr = opnd1; |
| 110 | return(NOEXCEPTION); |
| 111 | } |
| 112 | } |
| 113 | /* |
| 114 | * check second operand for NaN's or infinity |
| 115 | */ |
| 116 | if (Sgl_isinfinity_exponent(opnd2)) { |
| 117 | if (Sgl_iszero_mantissa(opnd2)) { |
| 118 | if (Sgl_iszero_exponentmantissa(opnd1)) { |
| 119 | /* invalid since operands are zero & infinity */ |
| 120 | if (Is_invalidtrap_enabled()) |
| 121 | return(INVALIDEXCEPTION); |
| 122 | Set_invalidflag(); |
| 123 | Sgl_makequietnan(opnd2); |
| 124 | *dstptr = opnd2; |
| 125 | return(NOEXCEPTION); |
| 126 | } |
| 127 | /* |
| 128 | * return infinity |
| 129 | */ |
| 130 | Sgl_setinfinity_exponentmantissa(result); |
| 131 | *dstptr = result; |
| 132 | return(NOEXCEPTION); |
| 133 | } |
| 134 | /* |
| 135 | * is NaN; signaling or quiet? |
| 136 | */ |
| 137 | if (Sgl_isone_signaling(opnd2)) { |
| 138 | /* trap if INVALIDTRAP enabled */ |
| 139 | if (Is_invalidtrap_enabled()) return(INVALIDEXCEPTION); |
| 140 | |
| 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 | * Generate exponent |
| 153 | */ |
| 154 | dest_exponent = Sgl_exponent(opnd1) + Sgl_exponent(opnd2) - SGL_BIAS; |
| 155 | |
| 156 | /* |
| 157 | * Generate mantissa |
| 158 | */ |
| 159 | if (Sgl_isnotzero_exponent(opnd1)) { |
| 160 | /* set hidden bit */ |
| 161 | Sgl_clear_signexponent_set_hidden(opnd1); |
| 162 | } |
| 163 | else { |
| 164 | /* check for zero */ |
| 165 | if (Sgl_iszero_mantissa(opnd1)) { |
| 166 | Sgl_setzero_exponentmantissa(result); |
| 167 | *dstptr = result; |
| 168 | return(NOEXCEPTION); |
| 169 | } |
| 170 | /* is denormalized, adjust exponent */ |
| 171 | Sgl_clear_signexponent(opnd1); |
| 172 | Sgl_leftshiftby1(opnd1); |
| 173 | Sgl_normalize(opnd1,dest_exponent); |
| 174 | } |
| 175 | /* opnd2 needs to have hidden bit set with msb in hidden bit */ |
| 176 | if (Sgl_isnotzero_exponent(opnd2)) { |
| 177 | Sgl_clear_signexponent_set_hidden(opnd2); |
| 178 | } |
| 179 | else { |
| 180 | /* check for zero */ |
| 181 | if (Sgl_iszero_mantissa(opnd2)) { |
| 182 | Sgl_setzero_exponentmantissa(result); |
| 183 | *dstptr = result; |
| 184 | return(NOEXCEPTION); |
| 185 | } |
| 186 | /* is denormalized; want to normalize */ |
| 187 | Sgl_clear_signexponent(opnd2); |
| 188 | Sgl_leftshiftby1(opnd2); |
| 189 | Sgl_normalize(opnd2,dest_exponent); |
| 190 | } |
| 191 | |
| 192 | /* Multiply two source mantissas together */ |
| 193 | |
| 194 | Sgl_leftshiftby4(opnd2); /* make room for guard bits */ |
| 195 | Sgl_setzero(opnd3); |
| 196 | /* |
| 197 | * Four bits at a time are inspected in each loop, and a |
| 198 | * simple shift and add multiply algorithm is used. |
| 199 | */ |
| 200 | for (count=1;count<SGL_P;count+=4) { |
| 201 | stickybit |= Slow4(opnd3); |
| 202 | Sgl_rightshiftby4(opnd3); |
| 203 | if (Sbit28(opnd1)) Sall(opnd3) += (Sall(opnd2) << 3); |
| 204 | if (Sbit29(opnd1)) Sall(opnd3) += (Sall(opnd2) << 2); |
| 205 | if (Sbit30(opnd1)) Sall(opnd3) += (Sall(opnd2) << 1); |
| 206 | if (Sbit31(opnd1)) Sall(opnd3) += Sall(opnd2); |
| 207 | Sgl_rightshiftby4(opnd1); |
| 208 | } |
| 209 | /* make sure result is left-justified */ |
| 210 | if (Sgl_iszero_sign(opnd3)) { |
| 211 | Sgl_leftshiftby1(opnd3); |
| 212 | } |
| 213 | else { |
| 214 | /* result mantissa >= 2. */ |
| 215 | dest_exponent++; |
| 216 | } |
| 217 | /* check for denormalized result */ |
| 218 | while (Sgl_iszero_sign(opnd3)) { |
| 219 | Sgl_leftshiftby1(opnd3); |
| 220 | dest_exponent--; |
| 221 | } |
| 222 | /* |
| 223 | * check for guard, sticky and inexact bits |
| 224 | */ |
| 225 | stickybit |= Sgl_all(opnd3) << (SGL_BITLENGTH - SGL_EXP_LENGTH + 1); |
| 226 | guardbit = Sbit24(opnd3); |
| 227 | inexact = guardbit | stickybit; |
| 228 | |
| 229 | /* re-align mantissa */ |
| 230 | Sgl_rightshiftby8(opnd3); |
| 231 | |
| 232 | /* |
| 233 | * round result |
| 234 | */ |
| 235 | if (inexact && (dest_exponent>0 || Is_underflowtrap_enabled())) { |
| 236 | Sgl_clear_signexponent(opnd3); |
| 237 | switch (Rounding_mode()) { |
| 238 | case ROUNDPLUS: |
| 239 | if (Sgl_iszero_sign(result)) |
| 240 | Sgl_increment(opnd3); |
| 241 | break; |
| 242 | case ROUNDMINUS: |
| 243 | if (Sgl_isone_sign(result)) |
| 244 | Sgl_increment(opnd3); |
| 245 | break; |
| 246 | case ROUNDNEAREST: |
| 247 | if (guardbit) { |
| 248 | if (stickybit || Sgl_isone_lowmantissa(opnd3)) |
| 249 | Sgl_increment(opnd3); |
| 250 | } |
| 251 | } |
| 252 | if (Sgl_isone_hidden(opnd3)) dest_exponent++; |
| 253 | } |
| 254 | Sgl_set_mantissa(result,opnd3); |
| 255 | |
| 256 | /* |
| 257 | * Test for overflow |
| 258 | */ |
| 259 | if (dest_exponent >= SGL_INFINITY_EXPONENT) { |
| 260 | /* trap if OVERFLOWTRAP enabled */ |
| 261 | if (Is_overflowtrap_enabled()) { |
| 262 | /* |
| 263 | * Adjust bias of result |
| 264 | */ |
| 265 | Sgl_setwrapped_exponent(result,dest_exponent,ovfl); |
| 266 | *dstptr = result; |
| 267 | if (inexact) |
| 268 | if (Is_inexacttrap_enabled()) |
| 269 | return(OVERFLOWEXCEPTION | INEXACTEXCEPTION); |
| 270 | else Set_inexactflag(); |
| 271 | return(OVERFLOWEXCEPTION); |
| 272 | } |
| 273 | inexact = TRUE; |
| 274 | Set_overflowflag(); |
| 275 | /* set result to infinity or largest number */ |
| 276 | Sgl_setoverflow(result); |
| 277 | } |
| 278 | /* |
| 279 | * Test for underflow |
| 280 | */ |
| 281 | else if (dest_exponent <= 0) { |
| 282 | /* trap if UNDERFLOWTRAP enabled */ |
| 283 | if (Is_underflowtrap_enabled()) { |
| 284 | /* |
| 285 | * Adjust bias of result |
| 286 | */ |
| 287 | Sgl_setwrapped_exponent(result,dest_exponent,unfl); |
| 288 | *dstptr = result; |
| 289 | if (inexact) |
| 290 | if (Is_inexacttrap_enabled()) |
| 291 | return(UNDERFLOWEXCEPTION | INEXACTEXCEPTION); |
| 292 | else Set_inexactflag(); |
| 293 | return(UNDERFLOWEXCEPTION); |
| 294 | } |
| 295 | |
| 296 | /* Determine if should set underflow flag */ |
| 297 | is_tiny = TRUE; |
| 298 | if (dest_exponent == 0 && inexact) { |
| 299 | switch (Rounding_mode()) { |
| 300 | case ROUNDPLUS: |
| 301 | if (Sgl_iszero_sign(result)) { |
| 302 | Sgl_increment(opnd3); |
| 303 | if (Sgl_isone_hiddenoverflow(opnd3)) |
| 304 | is_tiny = FALSE; |
| 305 | Sgl_decrement(opnd3); |
| 306 | } |
| 307 | break; |
| 308 | case ROUNDMINUS: |
| 309 | if (Sgl_isone_sign(result)) { |
| 310 | Sgl_increment(opnd3); |
| 311 | if (Sgl_isone_hiddenoverflow(opnd3)) |
| 312 | is_tiny = FALSE; |
| 313 | Sgl_decrement(opnd3); |
| 314 | } |
| 315 | break; |
| 316 | case ROUNDNEAREST: |
| 317 | if (guardbit && (stickybit || |
| 318 | Sgl_isone_lowmantissa(opnd3))) { |
| 319 | Sgl_increment(opnd3); |
| 320 | if (Sgl_isone_hiddenoverflow(opnd3)) |
| 321 | is_tiny = FALSE; |
| 322 | Sgl_decrement(opnd3); |
| 323 | } |
| 324 | break; |
| 325 | } |
| 326 | } |
| 327 | |
| 328 | /* |
| 329 | * denormalize result or set to signed zero |
| 330 | */ |
| 331 | stickybit = inexact; |
| 332 | Sgl_denormalize(opnd3,dest_exponent,guardbit,stickybit,inexact); |
| 333 | |
| 334 | /* return zero or smallest number */ |
| 335 | if (inexact) { |
| 336 | switch (Rounding_mode()) { |
| 337 | case ROUNDPLUS: |
| 338 | if (Sgl_iszero_sign(result)) { |
| 339 | Sgl_increment(opnd3); |
| 340 | } |
| 341 | break; |
| 342 | case ROUNDMINUS: |
| 343 | if (Sgl_isone_sign(result)) { |
| 344 | Sgl_increment(opnd3); |
| 345 | } |
| 346 | break; |
| 347 | case ROUNDNEAREST: |
| 348 | if (guardbit && (stickybit || |
| 349 | Sgl_isone_lowmantissa(opnd3))) { |
| 350 | Sgl_increment(opnd3); |
| 351 | } |
| 352 | break; |
| 353 | } |
| 354 | if (is_tiny) Set_underflowflag(); |
| 355 | } |
| 356 | Sgl_set_exponentmantissa(result,opnd3); |
| 357 | } |
| 358 | else Sgl_set_exponent(result,dest_exponent); |
| 359 | *dstptr = result; |
| 360 | |
| 361 | /* check for inexact */ |
| 362 | if (inexact) { |
| 363 | if (Is_inexacttrap_enabled()) return(INEXACTEXCEPTION); |
| 364 | else Set_inexactflag(); |
| 365 | } |
| 366 | return(NOEXCEPTION); |
| 367 | } |