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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 | .file "reg_u_div.S" /*---------------------------------------------------------------------------+ | reg_u_div.S | | | | Core division routines | | | | Copyright (C) 1992,1993,1995 | | W. Metzenthen, 22 Parker St, Ormond, Vic 3163, | | Australia. E-mail billm@jacobi.maths.monash.edu.au | | | | | +---------------------------------------------------------------------------*/ /*---------------------------------------------------------------------------+ | Kernel for the division routines. | | | | void reg_u_div(FPU_REG *a, FPU_REG *a, | | FPU_REG *dest, unsigned int control_word) | | | | Does not compute the destination exponent, but does adjust it. | +---------------------------------------------------------------------------*/ #include "exception.h" #include "fpu_emu.h" #include "control_w.h" /* #define dSIGL(x) (x) */ /* #define dSIGH(x) 4(x) */ #ifndef NON_REENTRANT_FPU /* Local storage on the stack: Result: FPU_accum_3:FPU_accum_2:FPU_accum_1:FPU_accum_0 Overflow flag: ovfl_flag */ #define FPU_accum_3 -4(%ebp) #define FPU_accum_2 -8(%ebp) #define FPU_accum_1 -12(%ebp) #define FPU_accum_0 -16(%ebp) #define FPU_result_1 -20(%ebp) #define FPU_result_2 -24(%ebp) #define FPU_ovfl_flag -28(%ebp) #else .data /* Local storage in a static area: Result: FPU_accum_3:FPU_accum_2:FPU_accum_1:FPU_accum_0 Overflow flag: ovfl_flag */ .align 2,0 FPU_accum_3: .long 0 FPU_accum_2: .long 0 FPU_accum_1: .long 0 FPU_accum_0: .long 0 FPU_result_1: .long 0 FPU_result_2: .long 0 FPU_ovfl_flag: .byte 0 #endif NON_REENTRANT_FPU .text ENTRY(reg_u_div) pushl %ebp movl %esp,%ebp #ifndef NON_REENTRANT_FPU subl $28,%esp #endif NON_REENTRANT_FPU pushl %esi pushl %edi pushl %ebx movl PARAM1,%esi /* pointer to num */ movl PARAM2,%ebx /* pointer to denom */ movl PARAM3,%edi /* pointer to answer */ #ifdef DENORM_OPERAND movl EXP(%esi),%eax cmpl EXP_UNDER,%eax jg xOp1_not_denorm call SYMBOL_NAME(denormal_operand) orl %eax,%eax jnz fpu_Arith_exit xOp1_not_denorm: movl EXP(%ebx),%eax cmpl EXP_UNDER,%eax jg xOp2_not_denorm call SYMBOL_NAME(denormal_operand) orl %eax,%eax jnz fpu_Arith_exit xOp2_not_denorm: #endif DENORM_OPERAND ENTRY(divide_kernel) #ifdef PARANOID /* testl $0x80000000, SIGH(%esi) // Dividend */ /* je L_bugged */ testl $0x80000000, SIGH(%ebx) /* Divisor */ je L_bugged #endif PARANOID /* Check if the divisor can be treated as having just 32 bits */ cmpl $0,SIGL(%ebx) jnz L_Full_Division /* Can't do a quick divide */ /* We should be able to zip through the division here */ movl SIGH(%ebx),%ecx /* The divisor */ movl SIGH(%esi),%edx /* Dividend */ movl SIGL(%esi),%eax /* Dividend */ cmpl %ecx,%edx setaeb FPU_ovfl_flag /* Keep a record */ jb L_no_adjust subl %ecx,%edx /* Prevent the overflow */ L_no_adjust: /* Divide the 64 bit number by the 32 bit denominator */ divl %ecx movl %eax,FPU_result_2 /* Work on the remainder of the first division */ xorl %eax,%eax divl %ecx movl %eax,FPU_result_1 /* Work on the remainder of the 64 bit division */ xorl %eax,%eax divl %ecx testb $255,FPU_ovfl_flag /* was the num > denom ? */ je L_no_overflow /* Do the shifting here */ /* increase the exponent */ incl EXP(%edi) /* shift the mantissa right one bit */ stc /* To set the ms bit */ rcrl FPU_result_2 rcrl FPU_result_1 rcrl %eax L_no_overflow: jmp LRound_precision /* Do the rounding as required */ /*---------------------------------------------------------------------------+ | Divide: Return arg1/arg2 to arg3. | | | | This routine does not use the exponents of arg1 and arg2, but does | | adjust the exponent of arg3. | | | | The maximum returned value is (ignoring exponents) | | .ffffffff ffffffff | | ------------------ = 1.ffffffff fffffffe | | .80000000 00000000 | | and the minimum is | | .80000000 00000000 | | ------------------ = .80000000 00000001 (rounded) | | .ffffffff ffffffff | | | +---------------------------------------------------------------------------*/ L_Full_Division: /* Save extended dividend in local register */ movl SIGL(%esi),%eax movl %eax,FPU_accum_2 movl SIGH(%esi),%eax movl %eax,FPU_accum_3 xorl %eax,%eax movl %eax,FPU_accum_1 /* zero the extension */ movl %eax,FPU_accum_0 /* zero the extension */ movl SIGL(%esi),%eax /* Get the current num */ movl SIGH(%esi),%edx /*----------------------------------------------------------------------*/ /* Initialization done. Do the first 32 bits. */ movb $0,FPU_ovfl_flag cmpl SIGH(%ebx),%edx /* Test for imminent overflow */ jb LLess_than_1 ja LGreater_than_1 cmpl SIGL(%ebx),%eax jb LLess_than_1 LGreater_than_1: /* The dividend is greater or equal, would cause overflow */ setaeb FPU_ovfl_flag /* Keep a record */ subl SIGL(%ebx),%eax sbbl SIGH(%ebx),%edx /* Prevent the overflow */ movl %eax,FPU_accum_2 movl %edx,FPU_accum_3 LLess_than_1: /* At this point, we have a dividend < divisor, with a record of adjustment in FPU_ovfl_flag */ /* We will divide by a number which is too large */ movl SIGH(%ebx),%ecx addl $1,%ecx jnc LFirst_div_not_1 /* here we need to divide by 100000000h, i.e., no division at all.. */ mov %edx,%eax jmp LFirst_div_done LFirst_div_not_1: divl %ecx /* Divide the numerator by the augmented denom ms dw */ LFirst_div_done: movl %eax,FPU_result_2 /* Put the result in the answer */ mull SIGH(%ebx) /* mul by the ms dw of the denom */ subl %eax,FPU_accum_2 /* Subtract from the num local reg */ sbbl %edx,FPU_accum_3 movl FPU_result_2,%eax /* Get the result back */ mull SIGL(%ebx) /* now mul the ls dw of the denom */ subl %eax,FPU_accum_1 /* Subtract from the num local reg */ sbbl %edx,FPU_accum_2 sbbl $0,FPU_accum_3 je LDo_2nd_32_bits /* Must check for non-zero result here */ #ifdef PARANOID jb L_bugged_1 #endif PARANOID /* need to subtract another once of the denom */ incl FPU_result_2 /* Correct the answer */ movl SIGL(%ebx),%eax movl SIGH(%ebx),%edx subl %eax,FPU_accum_1 /* Subtract from the num local reg */ sbbl %edx,FPU_accum_2 #ifdef PARANOID sbbl $0,FPU_accum_3 jne L_bugged_1 /* Must check for non-zero result here */ #endif PARANOID /*----------------------------------------------------------------------*/ /* Half of the main problem is done, there is just a reduced numerator to handle now. Work with the second 32 bits, FPU_accum_0 not used from now on */ LDo_2nd_32_bits: movl FPU_accum_2,%edx /* get the reduced num */ movl FPU_accum_1,%eax /* need to check for possible subsequent overflow */ cmpl SIGH(%ebx),%edx jb LDo_2nd_div ja LPrevent_2nd_overflow cmpl SIGL(%ebx),%eax jb LDo_2nd_div LPrevent_2nd_overflow: /* The numerator is greater or equal, would cause overflow */ /* prevent overflow */ subl SIGL(%ebx),%eax sbbl SIGH(%ebx),%edx movl %edx,FPU_accum_2 movl %eax,FPU_accum_1 incl FPU_result_2 /* Reflect the subtraction in the answer */ #ifdef PARANOID je L_bugged_2 /* Can't bump the result to 1.0 */ #endif PARANOID LDo_2nd_div: cmpl $0,%ecx /* augmented denom msw */ jnz LSecond_div_not_1 /* %ecx == 0, we are dividing by 1.0 */ mov %edx,%eax jmp LSecond_div_done LSecond_div_not_1: divl %ecx /* Divide the numerator by the denom ms dw */ LSecond_div_done: movl %eax,FPU_result_1 /* Put the result in the answer */ mull SIGH(%ebx) /* mul by the ms dw of the denom */ subl %eax,FPU_accum_1 /* Subtract from the num local reg */ sbbl %edx,FPU_accum_2 #ifdef PARANOID jc L_bugged_2 #endif PARANOID movl FPU_result_1,%eax /* Get the result back */ mull SIGL(%ebx) /* now mul the ls dw of the denom */ subl %eax,FPU_accum_0 /* Subtract from the num local reg */ sbbl %edx,FPU_accum_1 /* Subtract from the num local reg */ sbbl $0,FPU_accum_2 #ifdef PARANOID jc L_bugged_2 #endif PARANOID jz LDo_3rd_32_bits #ifdef PARANOID cmpl $1,FPU_accum_2 jne L_bugged_2 #endif PARANOID /* need to subtract another once of the denom */ movl SIGL(%ebx),%eax movl SIGH(%ebx),%edx subl %eax,FPU_accum_0 /* Subtract from the num local reg */ sbbl %edx,FPU_accum_1 sbbl $0,FPU_accum_2 #ifdef PARANOID jc L_bugged_2 jne L_bugged_2 #endif PARANOID addl $1,FPU_result_1 /* Correct the answer */ adcl $0,FPU_result_2 #ifdef PARANOID jc L_bugged_2 /* Must check for non-zero result here */ #endif PARANOID /*----------------------------------------------------------------------*/ /* The division is essentially finished here, we just need to perform tidying operations. Deal with the 3rd 32 bits */ LDo_3rd_32_bits: movl FPU_accum_1,%edx /* get the reduced num */ movl FPU_accum_0,%eax /* need to check for possible subsequent overflow */ cmpl SIGH(%ebx),%edx /* denom */ jb LRound_prep ja LPrevent_3rd_overflow cmpl SIGL(%ebx),%eax /* denom */ jb LRound_prep LPrevent_3rd_overflow: /* prevent overflow */ subl SIGL(%ebx),%eax sbbl SIGH(%ebx),%edx movl %edx,FPU_accum_1 movl %eax,FPU_accum_0 addl $1,FPU_result_1 /* Reflect the subtraction in the answer */ adcl $0,FPU_result_2 jne LRound_prep jnc LRound_prep /* This is a tricky spot, there is an overflow of the answer */ movb $255,FPU_ovfl_flag /* Overflow -> 1.000 */ LRound_prep: /* * Prepare for rounding. * To test for rounding, we just need to compare 2*accum with the * denom. */ movl FPU_accum_0,%ecx movl FPU_accum_1,%edx movl %ecx,%eax orl %edx,%eax jz LRound_ovfl /* The accumulator contains zero. */ /* Multiply by 2 */ clc rcll $1,%ecx rcll $1,%edx jc LRound_large /* No need to compare, denom smaller */ subl SIGL(%ebx),%ecx sbbl SIGH(%ebx),%edx jnc LRound_not_small movl $0x70000000,%eax /* Denom was larger */ jmp LRound_ovfl LRound_not_small: jnz LRound_large movl $0x80000000,%eax /* Remainder was exactly 1/2 denom */ jmp LRound_ovfl LRound_large: movl $0xff000000,%eax /* Denom was smaller */ LRound_ovfl: /* We are now ready to deal with rounding, but first we must get the bits properly aligned */ testb $255,FPU_ovfl_flag /* was the num > denom ? */ je LRound_precision incl EXP(%edi) /* shift the mantissa right one bit */ stc /* Will set the ms bit */ rcrl FPU_result_2 rcrl FPU_result_1 rcrl %eax /* Round the result as required */ LRound_precision: decl EXP(%edi) /* binary point between 1st & 2nd bits */ movl %eax,%edx movl FPU_result_1,%ebx movl FPU_result_2,%eax jmp fpu_reg_round #ifdef PARANOID /* The logic is wrong if we got here */ L_bugged: pushl EX_INTERNAL|0x202 call EXCEPTION pop %ebx jmp L_exit L_bugged_1: pushl EX_INTERNAL|0x203 call EXCEPTION pop %ebx jmp L_exit L_bugged_2: pushl EX_INTERNAL|0x204 call EXCEPTION pop %ebx jmp L_exit L_exit: popl %ebx popl %edi popl %esi leave ret #endif PARANOID |