diff options
Diffstat (limited to 'arch/arm26/nwfpe/softfloat-macros')
| -rw-r--r-- | arch/arm26/nwfpe/softfloat-macros | 740 |
1 files changed, 0 insertions, 740 deletions
diff --git a/arch/arm26/nwfpe/softfloat-macros b/arch/arm26/nwfpe/softfloat-macros deleted file mode 100644 index 5469989f2c5e..000000000000 --- a/arch/arm26/nwfpe/softfloat-macros +++ /dev/null | |||
| @@ -1,740 +0,0 @@ | |||
| 1 | |||
| 2 | /* | ||
| 3 | =============================================================================== | ||
| 4 | |||
| 5 | This C source fragment is part of the SoftFloat IEC/IEEE Floating-point | ||
| 6 | Arithmetic Package, Release 2. | ||
| 7 | |||
| 8 | Written by John R. Hauser. This work was made possible in part by the | ||
| 9 | International Computer Science Institute, located at Suite 600, 1947 Center | ||
| 10 | Street, Berkeley, California 94704. Funding was partially provided by the | ||
| 11 | National Science Foundation under grant MIP-9311980. The original version | ||
| 12 | of this code was written as part of a project to build a fixed-point vector | ||
| 13 | processor in collaboration with the University of California at Berkeley, | ||
| 14 | overseen by Profs. Nelson Morgan and John Wawrzynek. More information | ||
| 15 | is available through the web page `http://HTTP.CS.Berkeley.EDU/~jhauser/ | ||
| 16 | arithmetic/softfloat.html'. | ||
| 17 | |||
| 18 | THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE. Although reasonable effort | ||
| 19 | has been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT | ||
| 20 | TIMES RESULT IN INCORRECT BEHAVIOR. USE OF THIS SOFTWARE IS RESTRICTED TO | ||
| 21 | PERSONS AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ANY | ||
| 22 | AND ALL LOSSES, COSTS, OR OTHER PROBLEMS ARISING FROM ITS USE. | ||
| 23 | |||
| 24 | Derivative works are acceptable, even for commercial purposes, so long as | ||
| 25 | (1) they include prominent notice that the work is derivative, and (2) they | ||
| 26 | include prominent notice akin to these three paragraphs for those parts of | ||
| 27 | this code that are retained. | ||
| 28 | |||
| 29 | =============================================================================== | ||
| 30 | */ | ||
| 31 | |||
| 32 | /* | ||
| 33 | ------------------------------------------------------------------------------- | ||
| 34 | Shifts `a' right by the number of bits given in `count'. If any nonzero | ||
| 35 | bits are shifted off, they are ``jammed'' into the least significant bit of | ||
| 36 | the result by setting the least significant bit to 1. The value of `count' | ||
| 37 | can be arbitrarily large; in particular, if `count' is greater than 32, the | ||
| 38 | result will be either 0 or 1, depending on whether `a' is zero or nonzero. | ||
| 39 | The result is stored in the location pointed to by `zPtr'. | ||
| 40 | ------------------------------------------------------------------------------- | ||
| 41 | */ | ||
| 42 | INLINE void shift32RightJamming( bits32 a, int16 count, bits32 *zPtr ) | ||
| 43 | { | ||
| 44 | bits32 z; | ||
| 45 | if ( count == 0 ) { | ||
| 46 | z = a; | ||
| 47 | } | ||
| 48 | else if ( count < 32 ) { | ||
| 49 | z = ( a>>count ) | ( ( a<<( ( - count ) & 31 ) ) != 0 ); | ||
| 50 | } | ||
| 51 | else { | ||
| 52 | z = ( a != 0 ); | ||
| 53 | } | ||
| 54 | *zPtr = z; | ||
| 55 | } | ||
| 56 | |||
| 57 | /* | ||
| 58 | ------------------------------------------------------------------------------- | ||
| 59 | Shifts `a' right by the number of bits given in `count'. If any nonzero | ||
| 60 | bits are shifted off, they are ``jammed'' into the least significant bit of | ||
| 61 | the result by setting the least significant bit to 1. The value of `count' | ||
| 62 | can be arbitrarily large; in particular, if `count' is greater than 64, the | ||
| 63 | result will be either 0 or 1, depending on whether `a' is zero or nonzero. | ||
| 64 | The result is stored in the location pointed to by `zPtr'. | ||
| 65 | ------------------------------------------------------------------------------- | ||
| 66 | */ | ||
| 67 | INLINE void shift64RightJamming( bits64 a, int16 count, bits64 *zPtr ) | ||
| 68 | { | ||
| 69 | bits64 z; | ||
| 70 | |||
| 71 | __asm__("@shift64RightJamming -- start"); | ||
| 72 | if ( count == 0 ) { | ||
| 73 | z = a; | ||
| 74 | } | ||
| 75 | else if ( count < 64 ) { | ||
| 76 | z = ( a>>count ) | ( ( a<<( ( - count ) & 63 ) ) != 0 ); | ||
| 77 | } | ||
| 78 | else { | ||
| 79 | z = ( a != 0 ); | ||
| 80 | } | ||
| 81 | __asm__("@shift64RightJamming -- end"); | ||
| 82 | *zPtr = z; | ||
| 83 | } | ||
| 84 | |||
| 85 | /* | ||
| 86 | ------------------------------------------------------------------------------- | ||
| 87 | Shifts the 128-bit value formed by concatenating `a0' and `a1' right by 64 | ||
| 88 | _plus_ the number of bits given in `count'. The shifted result is at most | ||
| 89 | 64 nonzero bits; this is stored at the location pointed to by `z0Ptr'. The | ||
| 90 | bits shifted off form a second 64-bit result as follows: The _last_ bit | ||
| 91 | shifted off is the most-significant bit of the extra result, and the other | ||
| 92 | 63 bits of the extra result are all zero if and only if _all_but_the_last_ | ||
| 93 | bits shifted off were all zero. This extra result is stored in the location | ||
| 94 | pointed to by `z1Ptr'. The value of `count' can be arbitrarily large. | ||
| 95 | (This routine makes more sense if `a0' and `a1' are considered to form a | ||
| 96 | fixed-point value with binary point between `a0' and `a1'. This fixed-point | ||
| 97 | value is shifted right by the number of bits given in `count', and the | ||
| 98 | integer part of the result is returned at the location pointed to by | ||
| 99 | `z0Ptr'. The fractional part of the result may be slightly corrupted as | ||
| 100 | described above, and is returned at the location pointed to by `z1Ptr'.) | ||
| 101 | ------------------------------------------------------------------------------- | ||
| 102 | */ | ||
| 103 | INLINE void | ||
| 104 | shift64ExtraRightJamming( | ||
| 105 | bits64 a0, bits64 a1, int16 count, bits64 *z0Ptr, bits64 *z1Ptr ) | ||
| 106 | { | ||
| 107 | bits64 z0, z1; | ||
| 108 | int8 negCount = ( - count ) & 63; | ||
| 109 | |||
| 110 | if ( count == 0 ) { | ||
| 111 | z1 = a1; | ||
| 112 | z0 = a0; | ||
| 113 | } | ||
| 114 | else if ( count < 64 ) { | ||
| 115 | z1 = ( a0<<negCount ) | ( a1 != 0 ); | ||
| 116 | z0 = a0>>count; | ||
| 117 | } | ||
| 118 | else { | ||
| 119 | if ( count == 64 ) { | ||
| 120 | z1 = a0 | ( a1 != 0 ); | ||
| 121 | } | ||
| 122 | else { | ||
| 123 | z1 = ( ( a0 | a1 ) != 0 ); | ||
| 124 | } | ||
| 125 | z0 = 0; | ||
| 126 | } | ||
| 127 | *z1Ptr = z1; | ||
| 128 | *z0Ptr = z0; | ||
| 129 | |||
| 130 | } | ||
| 131 | |||
| 132 | /* | ||
| 133 | ------------------------------------------------------------------------------- | ||
| 134 | Shifts the 128-bit value formed by concatenating `a0' and `a1' right by the | ||
| 135 | number of bits given in `count'. Any bits shifted off are lost. The value | ||
| 136 | of `count' can be arbitrarily large; in particular, if `count' is greater | ||
| 137 | than 128, the result will be 0. The result is broken into two 64-bit pieces | ||
| 138 | which are stored at the locations pointed to by `z0Ptr' and `z1Ptr'. | ||
| 139 | ------------------------------------------------------------------------------- | ||
| 140 | */ | ||
| 141 | INLINE void | ||
| 142 | shift128Right( | ||
| 143 | bits64 a0, bits64 a1, int16 count, bits64 *z0Ptr, bits64 *z1Ptr ) | ||
| 144 | { | ||
| 145 | bits64 z0, z1; | ||
| 146 | int8 negCount = ( - count ) & 63; | ||
| 147 | |||
| 148 | if ( count == 0 ) { | ||
| 149 | z1 = a1; | ||
| 150 | z0 = a0; | ||
| 151 | } | ||
| 152 | else if ( count < 64 ) { | ||
| 153 | z1 = ( a0<<negCount ) | ( a1>>count ); | ||
| 154 | z0 = a0>>count; | ||
| 155 | } | ||
| 156 | else { | ||
| 157 | z1 = ( count < 64 ) ? ( a0>>( count & 63 ) ) : 0; | ||
| 158 | z0 = 0; | ||
| 159 | } | ||
| 160 | *z1Ptr = z1; | ||
| 161 | *z0Ptr = z0; | ||
| 162 | |||
| 163 | } | ||
| 164 | |||
| 165 | /* | ||
| 166 | ------------------------------------------------------------------------------- | ||
| 167 | Shifts the 128-bit value formed by concatenating `a0' and `a1' right by the | ||
| 168 | number of bits given in `count'. If any nonzero bits are shifted off, they | ||
| 169 | are ``jammed'' into the least significant bit of the result by setting the | ||
| 170 | least significant bit to 1. The value of `count' can be arbitrarily large; | ||
| 171 | in particular, if `count' is greater than 128, the result will be either 0 | ||
| 172 | or 1, depending on whether the concatenation of `a0' and `a1' is zero or | ||
| 173 | nonzero. The result is broken into two 64-bit pieces which are stored at | ||
| 174 | the locations pointed to by `z0Ptr' and `z1Ptr'. | ||
| 175 | ------------------------------------------------------------------------------- | ||
| 176 | */ | ||
| 177 | INLINE void | ||
| 178 | shift128RightJamming( | ||
| 179 | bits64 a0, bits64 a1, int16 count, bits64 *z0Ptr, bits64 *z1Ptr ) | ||
| 180 | { | ||
| 181 | bits64 z0, z1; | ||
| 182 | int8 negCount = ( - count ) & 63; | ||
| 183 | |||
| 184 | if ( count == 0 ) { | ||
| 185 | z1 = a1; | ||
| 186 | z0 = a0; | ||
| 187 | } | ||
| 188 | else if ( count < 64 ) { | ||
| 189 | z1 = ( a0<<negCount ) | ( a1>>count ) | ( ( a1<<negCount ) != 0 ); | ||
| 190 | z0 = a0>>count; | ||
| 191 | } | ||
| 192 | else { | ||
| 193 | if ( count == 64 ) { | ||
| 194 | z1 = a0 | ( a1 != 0 ); | ||
| 195 | } | ||
| 196 | else if ( count < 128 ) { | ||
| 197 | z1 = ( a0>>( count & 63 ) ) | ( ( ( a0<<negCount ) | a1 ) != 0 ); | ||
| 198 | } | ||
| 199 | else { | ||
| 200 | z1 = ( ( a0 | a1 ) != 0 ); | ||
| 201 | } | ||
| 202 | z0 = 0; | ||
| 203 | } | ||
| 204 | *z1Ptr = z1; | ||
| 205 | *z0Ptr = z0; | ||
| 206 | |||
| 207 | } | ||
| 208 | |||
| 209 | /* | ||
| 210 | ------------------------------------------------------------------------------- | ||
| 211 | Shifts the 192-bit value formed by concatenating `a0', `a1', and `a2' right | ||
| 212 | by 64 _plus_ the number of bits given in `count'. The shifted result is | ||
| 213 | at most 128 nonzero bits; these are broken into two 64-bit pieces which are | ||
| 214 | stored at the locations pointed to by `z0Ptr' and `z1Ptr'. The bits shifted | ||
| 215 | off form a third 64-bit result as follows: The _last_ bit shifted off is | ||
| 216 | the most-significant bit of the extra result, and the other 63 bits of the | ||
| 217 | extra result are all zero if and only if _all_but_the_last_ bits shifted off | ||
| 218 | were all zero. This extra result is stored in the location pointed to by | ||
| 219 | `z2Ptr'. The value of `count' can be arbitrarily large. | ||
| 220 | (This routine makes more sense if `a0', `a1', and `a2' are considered | ||
| 221 | to form a fixed-point value with binary point between `a1' and `a2'. This | ||
| 222 | fixed-point value is shifted right by the number of bits given in `count', | ||
| 223 | and the integer part of the result is returned at the locations pointed to | ||
| 224 | by `z0Ptr' and `z1Ptr'. The fractional part of the result may be slightly | ||
| 225 | corrupted as described above, and is returned at the location pointed to by | ||
| 226 | `z2Ptr'.) | ||
| 227 | ------------------------------------------------------------------------------- | ||
| 228 | */ | ||
| 229 | INLINE void | ||
| 230 | shift128ExtraRightJamming( | ||
| 231 | bits64 a0, | ||
| 232 | bits64 a1, | ||
| 233 | bits64 a2, | ||
| 234 | int16 count, | ||
| 235 | bits64 *z0Ptr, | ||
| 236 | bits64 *z1Ptr, | ||
| 237 | bits64 *z2Ptr | ||
| 238 | ) | ||
| 239 | { | ||
| 240 | bits64 z0, z1, z2; | ||
| 241 | int8 negCount = ( - count ) & 63; | ||
| 242 | |||
| 243 | if ( count == 0 ) { | ||
| 244 | z2 = a2; | ||
| 245 | z1 = a1; | ||
| 246 | z0 = a0; | ||
| 247 | } | ||
| 248 | else { | ||
| 249 | if ( count < 64 ) { | ||
| 250 | z2 = a1<<negCount; | ||
| 251 | z1 = ( a0<<negCount ) | ( a1>>count ); | ||
| 252 | z0 = a0>>count; | ||
| 253 | } | ||
| 254 | else { | ||
| 255 | if ( count == 64 ) { | ||
| 256 | z2 = a1; | ||
| 257 | z1 = a0; | ||
| 258 | } | ||
| 259 | else { | ||
| 260 | a2 |= a1; | ||
| 261 | if ( count < 128 ) { | ||
| 262 | z2 = a0<<negCount; | ||
| 263 | z1 = a0>>( count & 63 ); | ||
| 264 | } | ||
| 265 | else { | ||
| 266 | z2 = ( count == 128 ) ? a0 : ( a0 != 0 ); | ||
| 267 | z1 = 0; | ||
| 268 | } | ||
| 269 | } | ||
| 270 | z0 = 0; | ||
| 271 | } | ||
| 272 | z2 |= ( a2 != 0 ); | ||
| 273 | } | ||
| 274 | *z2Ptr = z2; | ||
| 275 | *z1Ptr = z1; | ||
| 276 | *z0Ptr = z0; | ||
| 277 | |||
| 278 | } | ||
| 279 | |||
| 280 | /* | ||
| 281 | ------------------------------------------------------------------------------- | ||
| 282 | Shifts the 128-bit value formed by concatenating `a0' and `a1' left by the | ||
| 283 | number of bits given in `count'. Any bits shifted off are lost. The value | ||
| 284 | of `count' must be less than 64. The result is broken into two 64-bit | ||
| 285 | pieces which are stored at the locations pointed to by `z0Ptr' and `z1Ptr'. | ||
| 286 | ------------------------------------------------------------------------------- | ||
| 287 | */ | ||
| 288 | INLINE void | ||
| 289 | shortShift128Left( | ||
| 290 | bits64 a0, bits64 a1, int16 count, bits64 *z0Ptr, bits64 *z1Ptr ) | ||
| 291 | { | ||
| 292 | |||
| 293 | *z1Ptr = a1<<count; | ||
| 294 | *z0Ptr = | ||
| 295 | ( count == 0 ) ? a0 : ( a0<<count ) | ( a1>>( ( - count ) & 63 ) ); | ||
| 296 | |||
| 297 | } | ||
| 298 | |||
| 299 | /* | ||
| 300 | ------------------------------------------------------------------------------- | ||
| 301 | Shifts the 192-bit value formed by concatenating `a0', `a1', and `a2' left | ||
| 302 | by the number of bits given in `count'. Any bits shifted off are lost. | ||
| 303 | The value of `count' must be less than 64. The result is broken into three | ||
| 304 | 64-bit pieces which are stored at the locations pointed to by `z0Ptr', | ||
| 305 | `z1Ptr', and `z2Ptr'. | ||
| 306 | ------------------------------------------------------------------------------- | ||
| 307 | */ | ||
| 308 | INLINE void | ||
| 309 | shortShift192Left( | ||
| 310 | bits64 a0, | ||
| 311 | bits64 a1, | ||
| 312 | bits64 a2, | ||
| 313 | int16 count, | ||
| 314 | bits64 *z0Ptr, | ||
| 315 | bits64 *z1Ptr, | ||
| 316 | bits64 *z2Ptr | ||
| 317 | ) | ||
| 318 | { | ||
| 319 | bits64 z0, z1, z2; | ||
| 320 | int8 negCount; | ||
| 321 | |||
| 322 | z2 = a2<<count; | ||
| 323 | z1 = a1<<count; | ||
| 324 | z0 = a0<<count; | ||
| 325 | if ( 0 < count ) { | ||
| 326 | negCount = ( ( - count ) & 63 ); | ||
| 327 | z1 |= a2>>negCount; | ||
| 328 | z0 |= a1>>negCount; | ||
| 329 | } | ||
| 330 | *z2Ptr = z2; | ||
| 331 | *z1Ptr = z1; | ||
| 332 | *z0Ptr = z0; | ||
| 333 | |||
| 334 | } | ||
| 335 | |||
| 336 | /* | ||
| 337 | ------------------------------------------------------------------------------- | ||
| 338 | Adds the 128-bit value formed by concatenating `a0' and `a1' to the 128-bit | ||
| 339 | value formed by concatenating `b0' and `b1'. Addition is modulo 2^128, so | ||
| 340 | any carry out is lost. The result is broken into two 64-bit pieces which | ||
| 341 | are stored at the locations pointed to by `z0Ptr' and `z1Ptr'. | ||
| 342 | ------------------------------------------------------------------------------- | ||
| 343 | */ | ||
| 344 | INLINE void | ||
| 345 | add128( | ||
| 346 | bits64 a0, bits64 a1, bits64 b0, bits64 b1, bits64 *z0Ptr, bits64 *z1Ptr ) | ||
| 347 | { | ||
| 348 | bits64 z1; | ||
| 349 | |||
| 350 | z1 = a1 + b1; | ||
| 351 | *z1Ptr = z1; | ||
| 352 | *z0Ptr = a0 + b0 + ( z1 < a1 ); | ||
| 353 | |||
| 354 | } | ||
| 355 | |||
| 356 | /* | ||
| 357 | ------------------------------------------------------------------------------- | ||
| 358 | Adds the 192-bit value formed by concatenating `a0', `a1', and `a2' to the | ||
| 359 | 192-bit value formed by concatenating `b0', `b1', and `b2'. Addition is | ||
| 360 | modulo 2^192, so any carry out is lost. The result is broken into three | ||
| 361 | 64-bit pieces which are stored at the locations pointed to by `z0Ptr', | ||
| 362 | `z1Ptr', and `z2Ptr'. | ||
| 363 | ------------------------------------------------------------------------------- | ||
| 364 | */ | ||
| 365 | INLINE void | ||
| 366 | add192( | ||
| 367 | bits64 a0, | ||
| 368 | bits64 a1, | ||
| 369 | bits64 a2, | ||
| 370 | bits64 b0, | ||
| 371 | bits64 b1, | ||
| 372 | bits64 b2, | ||
| 373 | bits64 *z0Ptr, | ||
| 374 | bits64 *z1Ptr, | ||
| 375 | bits64 *z2Ptr | ||
| 376 | ) | ||
| 377 | { | ||
| 378 | bits64 z0, z1, z2; | ||
| 379 | int8 carry0, carry1; | ||
| 380 | |||
| 381 | z2 = a2 + b2; | ||
| 382 | carry1 = ( z2 < a2 ); | ||
| 383 | z1 = a1 + b1; | ||
| 384 | carry0 = ( z1 < a1 ); | ||
| 385 | z0 = a0 + b0; | ||
| 386 | z1 += carry1; | ||
| 387 | z0 += ( z1 < carry1 ); | ||
| 388 | z0 += carry0; | ||
| 389 | *z2Ptr = z2; | ||
| 390 | *z1Ptr = z1; | ||
| 391 | *z0Ptr = z0; | ||
| 392 | |||
| 393 | } | ||
| 394 | |||
| 395 | /* | ||
| 396 | ------------------------------------------------------------------------------- | ||
| 397 | Subtracts the 128-bit value formed by concatenating `b0' and `b1' from the | ||
| 398 | 128-bit value formed by concatenating `a0' and `a1'. Subtraction is modulo | ||
| 399 | 2^128, so any borrow out (carry out) is lost. The result is broken into two | ||
| 400 | 64-bit pieces which are stored at the locations pointed to by `z0Ptr' and | ||
| 401 | `z1Ptr'. | ||
| 402 | ------------------------------------------------------------------------------- | ||
| 403 | */ | ||
| 404 | INLINE void | ||
| 405 | sub128( | ||
| 406 | bits64 a0, bits64 a1, bits64 b0, bits64 b1, bits64 *z0Ptr, bits64 *z1Ptr ) | ||
| 407 | { | ||
| 408 | |||
| 409 | *z1Ptr = a1 - b1; | ||
| 410 | *z0Ptr = a0 - b0 - ( a1 < b1 ); | ||
| 411 | |||
| 412 | } | ||
| 413 | |||
| 414 | /* | ||
| 415 | ------------------------------------------------------------------------------- | ||
| 416 | Subtracts the 192-bit value formed by concatenating `b0', `b1', and `b2' | ||
| 417 | from the 192-bit value formed by concatenating `a0', `a1', and `a2'. | ||
| 418 | Subtraction is modulo 2^192, so any borrow out (carry out) is lost. The | ||
| 419 | result is broken into three 64-bit pieces which are stored at the locations | ||
| 420 | pointed to by `z0Ptr', `z1Ptr', and `z2Ptr'. | ||
| 421 | ------------------------------------------------------------------------------- | ||
| 422 | */ | ||
| 423 | INLINE void | ||
| 424 | sub192( | ||
| 425 | bits64 a0, | ||
| 426 | bits64 a1, | ||
| 427 | bits64 a2, | ||
| 428 | bits64 b0, | ||
| 429 | bits64 b1, | ||
| 430 | bits64 b2, | ||
| 431 | bits64 *z0Ptr, | ||
| 432 | bits64 *z1Ptr, | ||
| 433 | bits64 *z2Ptr | ||
| 434 | ) | ||
| 435 | { | ||
| 436 | bits64 z0, z1, z2; | ||
| 437 | int8 borrow0, borrow1; | ||
| 438 | |||
| 439 | z2 = a2 - b2; | ||
| 440 | borrow1 = ( a2 < b2 ); | ||
| 441 | z1 = a1 - b1; | ||
| 442 | borrow0 = ( a1 < b1 ); | ||
| 443 | z0 = a0 - b0; | ||
| 444 | z0 -= ( z1 < borrow1 ); | ||
| 445 | z1 -= borrow1; | ||
| 446 | z0 -= borrow0; | ||
| 447 | *z2Ptr = z2; | ||
| 448 | *z1Ptr = z1; | ||
| 449 | *z0Ptr = z0; | ||
| 450 | |||
| 451 | } | ||
| 452 | |||
| 453 | /* | ||
| 454 | ------------------------------------------------------------------------------- | ||
| 455 | Multiplies `a' by `b' to obtain a 128-bit product. The product is broken | ||
| 456 | into two 64-bit pieces which are stored at the locations pointed to by | ||
| 457 | `z0Ptr' and `z1Ptr'. | ||
| 458 | ------------------------------------------------------------------------------- | ||
| 459 | */ | ||
| 460 | INLINE void mul64To128( bits64 a, bits64 b, bits64 *z0Ptr, bits64 *z1Ptr ) | ||
| 461 | { | ||
| 462 | bits32 aHigh, aLow, bHigh, bLow; | ||
| 463 | bits64 z0, zMiddleA, zMiddleB, z1; | ||
| 464 | |||
| 465 | aLow = a; | ||
| 466 | aHigh = a>>32; | ||
| 467 | bLow = b; | ||
| 468 | bHigh = b>>32; | ||
| 469 | z1 = ( (bits64) aLow ) * bLow; | ||
| 470 | zMiddleA = ( (bits64) aLow ) * bHigh; | ||
| 471 | zMiddleB = ( (bits64) aHigh ) * bLow; | ||
| 472 | z0 = ( (bits64) aHigh ) * bHigh; | ||
| 473 | zMiddleA += zMiddleB; | ||
| 474 | z0 += ( ( (bits64) ( zMiddleA < zMiddleB ) )<<32 ) + ( zMiddleA>>32 ); | ||
| 475 | zMiddleA <<= 32; | ||
| 476 | z1 += zMiddleA; | ||
| 477 | z0 += ( z1 < zMiddleA ); | ||
| 478 | *z1Ptr = z1; | ||
| 479 | *z0Ptr = z0; | ||
| 480 | |||
| 481 | } | ||
| 482 | |||
| 483 | /* | ||
| 484 | ------------------------------------------------------------------------------- | ||
| 485 | Multiplies the 128-bit value formed by concatenating `a0' and `a1' by `b' to | ||
| 486 | obtain a 192-bit product. The product is broken into three 64-bit pieces | ||
| 487 | which are stored at the locations pointed to by `z0Ptr', `z1Ptr', and | ||
| 488 | `z2Ptr'. | ||
| 489 | ------------------------------------------------------------------------------- | ||
| 490 | */ | ||
| 491 | INLINE void | ||
| 492 | mul128By64To192( | ||
| 493 | bits64 a0, | ||
| 494 | bits64 a1, | ||
| 495 | bits64 b, | ||
| 496 | bits64 *z0Ptr, | ||
| 497 | bits64 *z1Ptr, | ||
| 498 | bits64 *z2Ptr | ||
| 499 | ) | ||
| 500 | { | ||
| 501 | bits64 z0, z1, z2, more1; | ||
| 502 | |||
| 503 | mul64To128( a1, b, &z1, &z2 ); | ||
| 504 | mul64To128( a0, b, &z0, &more1 ); | ||
| 505 | add128( z0, more1, 0, z1, &z0, &z1 ); | ||
| 506 | *z2Ptr = z2; | ||
| 507 | *z1Ptr = z1; | ||
| 508 | *z0Ptr = z0; | ||
| 509 | |||
| 510 | } | ||
| 511 | |||
| 512 | /* | ||
| 513 | ------------------------------------------------------------------------------- | ||
| 514 | Multiplies the 128-bit value formed by concatenating `a0' and `a1' to the | ||
| 515 | 128-bit value formed by concatenating `b0' and `b1' to obtain a 256-bit | ||
| 516 | product. The product is broken into four 64-bit pieces which are stored at | ||
| 517 | the locations pointed to by `z0Ptr', `z1Ptr', `z2Ptr', and `z3Ptr'. | ||
| 518 | ------------------------------------------------------------------------------- | ||
| 519 | */ | ||
| 520 | INLINE void | ||
| 521 | mul128To256( | ||
| 522 | bits64 a0, | ||
| 523 | bits64 a1, | ||
| 524 | bits64 b0, | ||
| 525 | bits64 b1, | ||
| 526 | bits64 *z0Ptr, | ||
| 527 | bits64 *z1Ptr, | ||
| 528 | bits64 *z2Ptr, | ||
| 529 | bits64 *z3Ptr | ||
| 530 | ) | ||
| 531 | { | ||
| 532 | bits64 z0, z1, z2, z3; | ||
| 533 | bits64 more1, more2; | ||
| 534 | |||
| 535 | mul64To128( a1, b1, &z2, &z3 ); | ||
| 536 | mul64To128( a1, b0, &z1, &more2 ); | ||
| 537 | add128( z1, more2, 0, z2, &z1, &z2 ); | ||
| 538 | mul64To128( a0, b0, &z0, &more1 ); | ||
| 539 | add128( z0, more1, 0, z1, &z0, &z1 ); | ||
| 540 | mul64To128( a0, b1, &more1, &more2 ); | ||
| 541 | add128( more1, more2, 0, z2, &more1, &z2 ); | ||
| 542 | add128( z0, z1, 0, more1, &z0, &z1 ); | ||
| 543 | *z3Ptr = z3; | ||
| 544 | *z2Ptr = z2; | ||
| 545 | *z1Ptr = z1; | ||
| 546 | *z0Ptr = z0; | ||
| 547 | |||
| 548 | } | ||
| 549 | |||
| 550 | /* | ||
| 551 | ------------------------------------------------------------------------------- | ||
| 552 | Returns an approximation to the 64-bit integer quotient obtained by dividing | ||
| 553 | `b' into the 128-bit value formed by concatenating `a0' and `a1'. The | ||
| 554 | divisor `b' must be at least 2^63. If q is the exact quotient truncated | ||
| 555 | toward zero, the approximation returned lies between q and q + 2 inclusive. | ||
| 556 | If the exact quotient q is larger than 64 bits, the maximum positive 64-bit | ||
| 557 | unsigned integer is returned. | ||
| 558 | ------------------------------------------------------------------------------- | ||
| 559 | */ | ||
| 560 | static bits64 estimateDiv128To64( bits64 a0, bits64 a1, bits64 b ) | ||
| 561 | { | ||
| 562 | bits64 b0, b1; | ||
| 563 | bits64 rem0, rem1, term0, term1; | ||
| 564 | bits64 z; | ||
| 565 | if ( b <= a0 ) return LIT64( 0xFFFFFFFFFFFFFFFF ); | ||
| 566 | b0 = b>>32; | ||
| 567 | z = ( b0<<32 <= a0 ) ? LIT64( 0xFFFFFFFF00000000 ) : ( a0 / b0 )<<32; | ||
| 568 | mul64To128( b, z, &term0, &term1 ); | ||
| 569 | sub128( a0, a1, term0, term1, &rem0, &rem1 ); | ||
| 570 | while ( ( (sbits64) rem0 ) < 0 ) { | ||
| 571 | z -= LIT64( 0x100000000 ); | ||
| 572 | b1 = b<<32; | ||
| 573 | add128( rem0, rem1, b0, b1, &rem0, &rem1 ); | ||
| 574 | } | ||
| 575 | rem0 = ( rem0<<32 ) | ( rem1>>32 ); | ||
| 576 | z |= ( b0<<32 <= rem0 ) ? 0xFFFFFFFF : rem0 / b0; | ||
| 577 | return z; | ||
| 578 | |||
| 579 | } | ||
| 580 | |||
| 581 | /* | ||
| 582 | ------------------------------------------------------------------------------- | ||
| 583 | Returns an approximation to the square root of the 32-bit significand given | ||
| 584 | by `a'. Considered as an integer, `a' must be at least 2^31. If bit 0 of | ||
| 585 | `aExp' (the least significant bit) is 1, the integer returned approximates | ||
| 586 | 2^31*sqrt(`a'/2^31), where `a' is considered an integer. If bit 0 of `aExp' | ||
| 587 | is 0, the integer returned approximates 2^31*sqrt(`a'/2^30). In either | ||
| 588 | case, the approximation returned lies strictly within +/-2 of the exact | ||
| 589 | value. | ||
| 590 | ------------------------------------------------------------------------------- | ||
| 591 | */ | ||
| 592 | static bits32 estimateSqrt32( int16 aExp, bits32 a ) | ||
| 593 | { | ||
| 594 | static const bits16 sqrtOddAdjustments[] = { | ||
| 595 | 0x0004, 0x0022, 0x005D, 0x00B1, 0x011D, 0x019F, 0x0236, 0x02E0, | ||
| 596 | 0x039C, 0x0468, 0x0545, 0x0631, 0x072B, 0x0832, 0x0946, 0x0A67 | ||
| 597 | }; | ||
| 598 | static const bits16 sqrtEvenAdjustments[] = { | ||
| 599 | 0x0A2D, 0x08AF, 0x075A, 0x0629, 0x051A, 0x0429, 0x0356, 0x029E, | ||
| 600 | 0x0200, 0x0179, 0x0109, 0x00AF, 0x0068, 0x0034, 0x0012, 0x0002 | ||
| 601 | }; | ||
| 602 | int8 index; | ||
| 603 | bits32 z; | ||
| 604 | |||
| 605 | index = ( a>>27 ) & 15; | ||
| 606 | if ( aExp & 1 ) { | ||
| 607 | z = 0x4000 + ( a>>17 ) - sqrtOddAdjustments[ index ]; | ||
| 608 | z = ( ( a / z )<<14 ) + ( z<<15 ); | ||
| 609 | a >>= 1; | ||
| 610 | } | ||
| 611 | else { | ||
| 612 | z = 0x8000 + ( a>>17 ) - sqrtEvenAdjustments[ index ]; | ||
| 613 | z = a / z + z; | ||
| 614 | z = ( 0x20000 <= z ) ? 0xFFFF8000 : ( z<<15 ); | ||
| 615 | if ( z <= a ) return (bits32) ( ( (sbits32) a )>>1 ); | ||
| 616 | } | ||
| 617 | return ( (bits32) ( ( ( (bits64) a )<<31 ) / z ) ) + ( z>>1 ); | ||
| 618 | |||
| 619 | } | ||
| 620 | |||
| 621 | /* | ||
| 622 | ------------------------------------------------------------------------------- | ||
| 623 | Returns the number of leading 0 bits before the most-significant 1 bit | ||
| 624 | of `a'. If `a' is zero, 32 is returned. | ||
| 625 | ------------------------------------------------------------------------------- | ||
| 626 | */ | ||
| 627 | static int8 countLeadingZeros32( bits32 a ) | ||
| 628 | { | ||
| 629 | static const int8 countLeadingZerosHigh[] = { | ||
| 630 | 8, 7, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, | ||
| 631 | 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, | ||
| 632 | 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, | ||
| 633 | 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, | ||
| 634 | 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, | ||
| 635 | 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, | ||
| 636 | 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, | ||
| 637 | 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, | ||
| 638 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | ||
| 639 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | ||
| 640 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | ||
| 641 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | ||
| 642 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | ||
| 643 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | ||
| 644 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | ||
| 645 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 | ||
| 646 | }; | ||
| 647 | int8 shiftCount; | ||
| 648 | |||
| 649 | shiftCount = 0; | ||
| 650 | if ( a < 0x10000 ) { | ||
| 651 | shiftCount += 16; | ||
| 652 | a <<= 16; | ||
| 653 | } | ||
| 654 | if ( a < 0x1000000 ) { | ||
| 655 | shiftCount += 8; | ||
| 656 | a <<= 8; | ||
| 657 | } | ||
| 658 | shiftCount += countLeadingZerosHigh[ a>>24 ]; | ||
| 659 | return shiftCount; | ||
| 660 | |||
| 661 | } | ||
| 662 | |||
| 663 | /* | ||
| 664 | ------------------------------------------------------------------------------- | ||
| 665 | Returns the number of leading 0 bits before the most-significant 1 bit | ||
| 666 | of `a'. If `a' is zero, 64 is returned. | ||
| 667 | ------------------------------------------------------------------------------- | ||
| 668 | */ | ||
| 669 | static int8 countLeadingZeros64( bits64 a ) | ||
| 670 | { | ||
| 671 | int8 shiftCount; | ||
| 672 | |||
| 673 | shiftCount = 0; | ||
| 674 | if ( a < ( (bits64) 1 )<<32 ) { | ||
| 675 | shiftCount += 32; | ||
| 676 | } | ||
| 677 | else { | ||
| 678 | a >>= 32; | ||
| 679 | } | ||
| 680 | shiftCount += countLeadingZeros32( a ); | ||
| 681 | return shiftCount; | ||
| 682 | |||
| 683 | } | ||
| 684 | |||
| 685 | /* | ||
| 686 | ------------------------------------------------------------------------------- | ||
| 687 | Returns 1 if the 128-bit value formed by concatenating `a0' and `a1' | ||
| 688 | is equal to the 128-bit value formed by concatenating `b0' and `b1'. | ||
| 689 | Otherwise, returns 0. | ||
| 690 | ------------------------------------------------------------------------------- | ||
| 691 | */ | ||
| 692 | INLINE flag eq128( bits64 a0, bits64 a1, bits64 b0, bits64 b1 ) | ||
| 693 | { | ||
| 694 | |||
| 695 | return ( a0 == b0 ) && ( a1 == b1 ); | ||
| 696 | |||
| 697 | } | ||
| 698 | |||
| 699 | /* | ||
| 700 | ------------------------------------------------------------------------------- | ||
| 701 | Returns 1 if the 128-bit value formed by concatenating `a0' and `a1' is less | ||
| 702 | than or equal to the 128-bit value formed by concatenating `b0' and `b1'. | ||
| 703 | Otherwise, returns 0. | ||
| 704 | ------------------------------------------------------------------------------- | ||
| 705 | */ | ||
| 706 | INLINE flag le128( bits64 a0, bits64 a1, bits64 b0, bits64 b1 ) | ||
| 707 | { | ||
| 708 | |||
| 709 | return ( a0 < b0 ) || ( ( a0 == b0 ) && ( a1 <= b1 ) ); | ||
| 710 | |||
| 711 | } | ||
| 712 | |||
| 713 | /* | ||
| 714 | ------------------------------------------------------------------------------- | ||
| 715 | Returns 1 if the 128-bit value formed by concatenating `a0' and `a1' is less | ||
| 716 | than the 128-bit value formed by concatenating `b0' and `b1'. Otherwise, | ||
| 717 | returns 0. | ||
| 718 | ------------------------------------------------------------------------------- | ||
| 719 | */ | ||
| 720 | INLINE flag lt128( bits64 a0, bits64 a1, bits64 b0, bits64 b1 ) | ||
| 721 | { | ||
| 722 | |||
| 723 | return ( a0 < b0 ) || ( ( a0 == b0 ) && ( a1 < b1 ) ); | ||
| 724 | |||
| 725 | } | ||
| 726 | |||
| 727 | /* | ||
| 728 | ------------------------------------------------------------------------------- | ||
| 729 | Returns 1 if the 128-bit value formed by concatenating `a0' and `a1' is | ||
| 730 | not equal to the 128-bit value formed by concatenating `b0' and `b1'. | ||
| 731 | Otherwise, returns 0. | ||
| 732 | ------------------------------------------------------------------------------- | ||
| 733 | */ | ||
| 734 | INLINE flag ne128( bits64 a0, bits64 a1, bits64 b0, bits64 b1 ) | ||
| 735 | { | ||
| 736 | |||
| 737 | return ( a0 != b0 ) || ( a1 != b1 ); | ||
| 738 | |||
| 739 | } | ||
| 740 | |||
