vm/math.cpp

   1 #include "master.hpp"
   2
   3 namespace factor
   4 {
   5
   6 void factor_vm::primitive_bignum_to_fixnum()
   7 {
   8         drepl(tag_fixnum(bignum_to_fixnum(untag<bignum>(dpeek()))));
   9 }
  10
  11 void factor_vm::primitive_float_to_fixnum()
  12 {
  13         drepl(tag_fixnum(float_to_fixnum(dpeek())));
  14 }
  15
  16 /* Division can only overflow when we are dividing the most negative fixnum
  17 by -1. */
  18 void factor_vm::primitive_fixnum_divint()
  19 {
  20         fixnum y = untag_fixnum(dpop()); \
  21         fixnum x = untag_fixnum(dpeek());
  22         fixnum result = x / y;
  23         if(result == -fixnum_min)
  24                 drepl(allot_integer(-fixnum_min));
  25         else
  26                 drepl(tag_fixnum(result));
  27 }
  28
  29 void factor_vm::primitive_fixnum_divmod()
  30 {
  31         cell y = ((cell *)ds)[0];
  32         cell x = ((cell *)ds)[-1];
  33         if(y == tag_fixnum(-1) && x == tag_fixnum(fixnum_min))
  34         {
  35                 ((cell *)ds)[-1] = allot_integer(-fixnum_min);
  36                 ((cell *)ds)[0] = tag_fixnum(0);
  37         }
  38         else
  39         {
  40                 ((cell *)ds)[-1] = tag_fixnum(untag_fixnum(x) / untag_fixnum(y));
  41                 ((cell *)ds)[0] = (fixnum)x % (fixnum)y;
  42         }
  43 }
  44
  45 /*
  46  * If we're shifting right by n bits, we won't overflow as long as none of the
  47  * high WORD_SIZE-TAG_BITS-n bits are set.
  48  */
  49 inline fixnum factor_vm::sign_mask(fixnum x)
  50 {
  51         return x >> (WORD_SIZE - 1);
  52 }
  53
  54 inline fixnum factor_vm::branchless_max(fixnum x, fixnum y)
  55 {
  56         return (x - ((x - y) & sign_mask(x - y)));
  57 }
  58
  59 inline fixnum factor_vm::branchless_abs(fixnum x)
  60 {
  61         return (x ^ sign_mask(x)) - sign_mask(x);
  62 }
  63
  64 void factor_vm::primitive_fixnum_shift()
  65 {
  66         fixnum y = untag_fixnum(dpop());
  67         fixnum x = untag_fixnum(dpeek());
  68
  69         if(x == 0)
  70                 return;
  71         else if(y < 0)
  72         {
  73                 y = branchless_max(y,-WORD_SIZE + 1);
  74                 drepl(tag_fixnum(x >> -y));
  75                 return;
  76         }
  77         else if(y < WORD_SIZE - TAG_BITS)
  78         {
  79                 fixnum mask = -((fixnum)1 << (WORD_SIZE - 1 - TAG_BITS - y));
  80                 if(!(branchless_abs(x) & mask))
  81                 {
  82                         drepl(tag_fixnum(x << y));
  83                         return;
  84                 }
  85         }
  86
  87         drepl(tag<bignum>(bignum_arithmetic_shift(
  88                 fixnum_to_bignum(x),y)));
  89 }
  90
  91 void factor_vm::primitive_fixnum_to_bignum()
  92 {
  93         drepl(tag<bignum>(fixnum_to_bignum(untag_fixnum(dpeek()))));
  94 }
  95
  96 void factor_vm::primitive_float_to_bignum()
  97 {
  98         drepl(tag<bignum>(float_to_bignum(dpeek())));
  99 }
 100
 101 #define POP_BIGNUMS(x,y) \
 102         bignum * y = untag<bignum>(dpop()); \
 103         bignum * x = untag<bignum>(dpop());
 104
 105 void factor_vm::primitive_bignum_eq()
 106 {
 107         POP_BIGNUMS(x,y);
 108         box_boolean(bignum_equal_p(x,y));
 109 }
 110
 111 void factor_vm::primitive_bignum_add()
 112 {
 113         POP_BIGNUMS(x,y);
 114         dpush(tag<bignum>(bignum_add(x,y)));
 115 }
 116
 117 void factor_vm::primitive_bignum_subtract()
 118 {
 119         POP_BIGNUMS(x,y);
 120         dpush(tag<bignum>(bignum_subtract(x,y)));
 121 }
 122
 123 void factor_vm::primitive_bignum_multiply()
 124 {
 125         POP_BIGNUMS(x,y);
 126         dpush(tag<bignum>(bignum_multiply(x,y)));
 127 }
 128
 129 void factor_vm::primitive_bignum_divint()
 130 {
 131         POP_BIGNUMS(x,y);
 132         dpush(tag<bignum>(bignum_quotient(x,y)));
 133 }
 134
 135 void factor_vm::primitive_bignum_divmod()
 136 {
 137         bignum *q, *r;
 138         POP_BIGNUMS(x,y);
 139         bignum_divide(x,y,&q,&r);
 140         dpush(tag<bignum>(q));
 141         dpush(tag<bignum>(r));
 142 }
 143
 144 void factor_vm::primitive_bignum_mod()
 145 {
 146         POP_BIGNUMS(x,y);
 147         dpush(tag<bignum>(bignum_remainder(x,y)));
 148 }
 149
 150 void factor_vm::primitive_bignum_and()
 151 {
 152         POP_BIGNUMS(x,y);
 153         dpush(tag<bignum>(bignum_bitwise_and(x,y)));
 154 }
 155
 156 void factor_vm::primitive_bignum_or()
 157 {
 158         POP_BIGNUMS(x,y);
 159         dpush(tag<bignum>(bignum_bitwise_ior(x,y)));
 160 }
 161
 162 void factor_vm::primitive_bignum_xor()
 163 {
 164         POP_BIGNUMS(x,y);
 165         dpush(tag<bignum>(bignum_bitwise_xor(x,y)));
 166 }
 167
 168 void factor_vm::primitive_bignum_shift()
 169 {
 170         fixnum y = untag_fixnum(dpop());
 171         bignum* x = untag<bignum>(dpop());
 172         dpush(tag<bignum>(bignum_arithmetic_shift(x,y)));
 173 }
 174
 175 void factor_vm::primitive_bignum_less()
 176 {
 177         POP_BIGNUMS(x,y);
 178         box_boolean(bignum_compare(x,y) == bignum_comparison_less);
 179 }
 180
 181 void factor_vm::primitive_bignum_lesseq()
 182 {
 183         POP_BIGNUMS(x,y);
 184         box_boolean(bignum_compare(x,y) != bignum_comparison_greater);
 185 }
 186
 187 void factor_vm::primitive_bignum_greater()
 188 {
 189         POP_BIGNUMS(x,y);
 190         box_boolean(bignum_compare(x,y) == bignum_comparison_greater);
 191 }
 192
 193 void factor_vm::primitive_bignum_greatereq()
 194 {
 195         POP_BIGNUMS(x,y);
 196         box_boolean(bignum_compare(x,y) != bignum_comparison_less);
 197 }
 198
 199 void factor_vm::primitive_bignum_not()
 200 {
 201         drepl(tag<bignum>(bignum_bitwise_not(untag<bignum>(dpeek()))));
 202 }
 203
 204 void factor_vm::primitive_bignum_bitp()
 205 {
 206         fixnum bit = to_fixnum(dpop());
 207         bignum *x = untag<bignum>(dpop());
 208         box_boolean(bignum_logbitp(bit,x));
 209 }
 210
 211 void factor_vm::primitive_bignum_log2()
 212 {
 213         drepl(tag<bignum>(bignum_integer_length(untag<bignum>(dpeek()))));
 214 }
 215
 216 unsigned int factor_vm::bignum_producer(unsigned int digit)
 217 {
 218         unsigned char *ptr = (unsigned char *)alien_offset(dpeek());
 219         return *(ptr + digit);
 220 }
 221
 222 unsigned int bignum_producer(unsigned int digit, factor_vm *parent)
 223 {
 224         return parent->bignum_producer(digit);
 225 }
 226
 227 void factor_vm::primitive_byte_array_to_bignum()
 228 {
 229         cell n_digits = array_capacity(untag_check<byte_array>(dpeek()));
 230         bignum * result = digit_stream_to_bignum(n_digits,factor::bignum_producer,0x100,0);
 231         drepl(tag<bignum>(result));
 232 }
 233
 234 cell factor_vm::unbox_array_size()
 235 {
 236         switch(tagged<object>(dpeek()).type())
 237         {
 238         case FIXNUM_TYPE:
 239                 {
 240                         fixnum n = untag_fixnum(dpeek());
 241                         if(n >= 0 && n < (fixnum)array_size_max)
 242                         {
 243                                 dpop();
 244                                 return n;
 245                         }
 246                         break;
 247                 }
 248         case BIGNUM_TYPE:
 249                 {
 250                         bignum * zero = untag<bignum>(bignum_zero);
 251                         bignum * max = cell_to_bignum(array_size_max);
 252                         bignum * n = untag<bignum>(dpeek());
 253                         if(bignum_compare(n,zero) != bignum_comparison_less
 254                                 && bignum_compare(n,max) == bignum_comparison_less)
 255                         {
 256                                 dpop();
 257                                 return bignum_to_cell(n);
 258                         }
 259                         break;
 260                 }
 261         }
 262
 263         general_error(ERROR_ARRAY_SIZE,dpop(),tag_fixnum(array_size_max),NULL);
 264         return 0; /* can't happen */
 265 }
 266
 267 void factor_vm::primitive_fixnum_to_float()
 268 {
 269         drepl(allot_float(fixnum_to_float(dpeek())));
 270 }
 271
 272 void factor_vm::primitive_bignum_to_float()
 273 {
 274         drepl(allot_float(bignum_to_float(dpeek())));
 275 }
 276
 277 void factor_vm::primitive_str_to_float()
 278 {
 279         byte_array *bytes = untag_check<byte_array>(dpeek());
 280         cell capacity = array_capacity(bytes);
 281
 282         char *c_str = (char *)(bytes + 1);
 283         char *end = c_str;
 284         double f = strtod(c_str,&end);
 285         if(end == c_str + capacity - 1)
 286                 drepl(allot_float(f));
 287         else
 288                 drepl(false_object);
 289 }
 290
 291 void factor_vm::primitive_float_to_str()
 292 {
 293         byte_array *array = allot_byte_array(33);
 294         snprintf((char *)(array + 1),32,"%.16g",untag_float_check(dpop()));
 295         dpush(tag<byte_array>(array));
 296 }
 297
 298 #define POP_FLOATS(x,y) \
 299         double y = untag_float(dpop()); \
 300         double x = untag_float(dpop());
 301
 302 void factor_vm::primitive_float_eq()
 303 {
 304         POP_FLOATS(x,y);
 305         box_boolean(x == y);
 306 }
 307
 308 void factor_vm::primitive_float_add()
 309 {
 310         POP_FLOATS(x,y);
 311         box_double(x + y);
 312 }
 313
 314 void factor_vm::primitive_float_subtract()
 315 {
 316         POP_FLOATS(x,y);
 317         box_double(x - y);
 318 }
 319
 320 void factor_vm::primitive_float_multiply()
 321 {
 322         POP_FLOATS(x,y);
 323         box_double(x * y);
 324 }
 325
 326 void factor_vm::primitive_float_divfloat()
 327 {
 328         POP_FLOATS(x,y);
 329         box_double(x / y);
 330 }
 331
 332 void factor_vm::primitive_float_mod()
 333 {
 334         POP_FLOATS(x,y);
 335         box_double(fmod(x,y));
 336 }
 337
 338 void factor_vm::primitive_float_less()
 339 {
 340         POP_FLOATS(x,y);
 341         box_boolean(x < y);
 342 }
 343
 344 void factor_vm::primitive_float_lesseq()
 345 {
 346         POP_FLOATS(x,y);
 347         box_boolean(x <= y);
 348 }
 349
 350 void factor_vm::primitive_float_greater()
 351 {
 352         POP_FLOATS(x,y);
 353         box_boolean(x > y);
 354 }
 355
 356 void factor_vm::primitive_float_greatereq()
 357 {
 358         POP_FLOATS(x,y);
 359         box_boolean(x >= y);
 360 }
 361
 362 void factor_vm::primitive_float_bits()
 363 {
 364         box_unsigned_4(float_bits(untag_float_check(dpop())));
 365 }
 366
 367 void factor_vm::primitive_bits_float()
 368 {
 369         box_float(bits_float(to_cell(dpop())));
 370 }
 371
 372 void factor_vm::primitive_double_bits()
 373 {
 374         box_unsigned_8(double_bits(untag_float_check(dpop())));
 375 }
 376
 377 void factor_vm::primitive_bits_double()
 378 {
 379         box_double(bits_double(to_unsigned_8(dpop())));
 380 }
 381
 382 fixnum factor_vm::to_fixnum(cell tagged)
 383 {
 384         switch(TAG(tagged))
 385         {
 386         case FIXNUM_TYPE:
 387                 return untag_fixnum(tagged);
 388         case BIGNUM_TYPE:
 389                 return bignum_to_fixnum(untag<bignum>(tagged));
 390         default:
 391                 type_error(FIXNUM_TYPE,tagged);
 392                 return 0; /* can't happen */
 393         }
 394 }
 395
 396 VM_C_API fixnum to_fixnum(cell tagged,factor_vm *parent)
 397 {
 398         return parent->to_fixnum(tagged);
 399 }
 400
 401 cell factor_vm::to_cell(cell tagged)
 402 {
 403         return (cell)to_fixnum(tagged);
 404 }
 405
 406 VM_C_API cell to_cell(cell tagged, factor_vm *parent)
 407 {
 408         return parent->to_cell(tagged);
 409 }
 410
 411 void factor_vm::box_signed_1(s8 n)
 412 {
 413         dpush(tag_fixnum(n));
 414 }
 415
 416 VM_C_API void box_signed_1(s8 n,factor_vm *parent)
 417 {
 418         return parent->box_signed_1(n);
 419 }
 420
 421 void factor_vm::box_unsigned_1(u8 n)
 422 {
 423         dpush(tag_fixnum(n));
 424 }
 425
 426 VM_C_API void box_unsigned_1(u8 n,factor_vm *parent)
 427 {
 428         return parent->box_unsigned_1(n);
 429 }
 430
 431 void factor_vm::box_signed_2(s16 n)
 432 {
 433         dpush(tag_fixnum(n));
 434 }
 435
 436 VM_C_API void box_signed_2(s16 n,factor_vm *parent)
 437 {
 438         return parent->box_signed_2(n);
 439 }
 440
 441 void factor_vm::box_unsigned_2(u16 n)
 442 {
 443         dpush(tag_fixnum(n));
 444 }
 445
 446 VM_C_API void box_unsigned_2(u16 n,factor_vm *parent)
 447 {
 448         return parent->box_unsigned_2(n);
 449 }
 450
 451 void factor_vm::box_signed_4(s32 n)
 452 {
 453         dpush(allot_integer(n));
 454 }
 455
 456 VM_C_API void box_signed_4(s32 n,factor_vm *parent)
 457 {
 458         return parent->box_signed_4(n);
 459 }
 460
 461 void factor_vm::box_unsigned_4(u32 n)
 462 {
 463         dpush(allot_cell(n));
 464 }
 465
 466 VM_C_API void box_unsigned_4(u32 n,factor_vm *parent)
 467 {
 468         return parent->box_unsigned_4(n);
 469 }
 470
 471 void factor_vm::box_signed_cell(fixnum integer)
 472 {
 473         dpush(allot_integer(integer));
 474 }
 475
 476 VM_C_API void box_signed_cell(fixnum integer,factor_vm *parent)
 477 {
 478         return parent->box_signed_cell(integer);
 479 }
 480
 481 void factor_vm::box_unsigned_cell(cell cell)
 482 {
 483         dpush(allot_cell(cell));
 484 }
 485
 486 VM_C_API void box_unsigned_cell(cell cell,factor_vm *parent)
 487 {
 488         return parent->box_unsigned_cell(cell);
 489 }
 490
 491 void factor_vm::box_signed_8(s64 n)
 492 {
 493         if(n < fixnum_min || n > fixnum_max)
 494                 dpush(tag<bignum>(long_long_to_bignum(n)));
 495         else
 496                 dpush(tag_fixnum(n));
 497 }
 498
 499 VM_C_API void box_signed_8(s64 n,factor_vm *parent)
 500 {
 501         return parent->box_signed_8(n);
 502 }
 503
 504 s64 factor_vm::to_signed_8(cell obj)
 505 {
 506         switch(tagged<object>(obj).type())
 507         {
 508         case FIXNUM_TYPE:
 509                 return untag_fixnum(obj);
 510         case BIGNUM_TYPE:
 511                 return bignum_to_long_long(untag<bignum>(obj));
 512         default:
 513                 type_error(BIGNUM_TYPE,obj);
 514                 return 0;
 515         }
 516 }
 517
 518 VM_C_API s64 to_signed_8(cell obj,factor_vm *parent)
 519 {
 520         return parent->to_signed_8(obj);
 521 }
 522
 523 void factor_vm::box_unsigned_8(u64 n)
 524 {
 525         if(n > (u64)fixnum_max)
 526                 dpush(tag<bignum>(ulong_long_to_bignum(n)));
 527         else
 528                 dpush(tag_fixnum(n));
 529 }
 530
 531 VM_C_API void box_unsigned_8(u64 n,factor_vm *parent)
 532 {
 533         return parent->box_unsigned_8(n);
 534 }
 535
 536 u64 factor_vm::to_unsigned_8(cell obj)
 537 {
 538         switch(tagged<object>(obj).type())
 539         {
 540         case FIXNUM_TYPE:
 541                 return untag_fixnum(obj);
 542         case BIGNUM_TYPE:
 543                 return bignum_to_ulong_long(untag<bignum>(obj));
 544         default:
 545                 type_error(BIGNUM_TYPE,obj);
 546                 return 0;
 547         }
 548 }
 549
 550 VM_C_API u64 to_unsigned_8(cell obj,factor_vm *parent)
 551 {
 552         return parent->to_unsigned_8(obj);
 553 }
 554
 555 void factor_vm::box_float(float flo)
 556 {
 557         dpush(allot_float(flo));
 558 }
 559
 560 VM_C_API void box_float(float flo, factor_vm *parent)
 561 {
 562         return parent->box_float(flo);
 563 }
 564
 565 float factor_vm::to_float(cell value)
 566 {
 567         return untag_float_check(value);
 568 }
 569
 570 VM_C_API float to_float(cell value,factor_vm *parent)
 571 {
 572         return parent->to_float(value);
 573 }
 574
 575 void factor_vm::box_double(double flo)
 576 {
 577         dpush(allot_float(flo));
 578 }
 579
 580 VM_C_API void box_double(double flo,factor_vm *parent)
 581 {
 582         return parent->box_double(flo);
 583 }
 584
 585 double factor_vm::to_double(cell value)
 586 {
 587         return untag_float_check(value);
 588 }
 589
 590 VM_C_API double to_double(cell value,factor_vm *parent)
 591 {
 592         return parent->to_double(value);
 593 }
 594
 595 /* The fixnum+, fixnum- and fixnum* primitives are defined in cpu_*.S. On
 596 overflow, they call these functions. */
 597 inline void factor_vm::overflow_fixnum_add(fixnum x, fixnum y)
 598 {
 599         drepl(tag<bignum>(fixnum_to_bignum(
 600                 untag_fixnum(x) + untag_fixnum(y))));
 601 }
 602
 603 VM_ASM_API void overflow_fixnum_add(fixnum x, fixnum y, factor_vm *parent)
 604 {
 605         parent->overflow_fixnum_add(x,y);
 606 }
 607
 608 inline void factor_vm::overflow_fixnum_subtract(fixnum x, fixnum y)
 609 {
 610         drepl(tag<bignum>(fixnum_to_bignum(
 611                 untag_fixnum(x) - untag_fixnum(y))));
 612 }
 613
 614 VM_ASM_API void overflow_fixnum_subtract(fixnum x, fixnum y, factor_vm *parent)
 615 {
 616         parent->overflow_fixnum_subtract(x,y);
 617 }
 618
 619 inline void factor_vm::overflow_fixnum_multiply(fixnum x, fixnum y)
 620 {
 621         bignum *bx = fixnum_to_bignum(x);
 622         GC_BIGNUM(bx);
 623         bignum *by = fixnum_to_bignum(y);
 624         GC_BIGNUM(by);
 625         drepl(tag<bignum>(bignum_multiply(bx,by)));
 626 }
 627
 628 VM_ASM_API void overflow_fixnum_multiply(fixnum x, fixnum y, factor_vm *parent)
 629 {
 630         parent->overflow_fixnum_multiply(x,y);
 631 }
 632
 633 }