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_slow()
 235 {
 236         if(tagged<object>(dpeek()).type() == BIGNUM_TYPE)
 237         {
 238                 bignum *zero = untag<bignum>(bignum_zero);
 239                 bignum *max = cell_to_bignum(array_size_max);
 240                 bignum *n = untag<bignum>(dpeek());
 241                 if(bignum_compare(n,zero) != bignum_comparison_less
 242                         && bignum_compare(n,max) == bignum_comparison_less)
 243                 {
 244                         dpop();
 245                         return bignum_to_cell(n);
 246                 }
 247         }
 248
 249         general_error(ERROR_ARRAY_SIZE,dpop(),tag_fixnum(array_size_max),NULL);
 250         return 0; /* can't happen */
 251 }
 252
 253 void factor_vm::primitive_fixnum_to_float()
 254 {
 255         drepl(allot_float(fixnum_to_float(dpeek())));
 256 }
 257
 258 void factor_vm::primitive_bignum_to_float()
 259 {
 260         drepl(allot_float(bignum_to_float(dpeek())));
 261 }
 262
 263 void factor_vm::primitive_str_to_float()
 264 {
 265         byte_array *bytes = untag_check<byte_array>(dpeek());
 266         cell capacity = array_capacity(bytes);
 267
 268         char *c_str = (char *)(bytes + 1);
 269         char *end = c_str;
 270         double f = strtod(c_str,&end);
 271         if(end == c_str + capacity - 1)
 272                 drepl(allot_float(f));
 273         else
 274                 drepl(false_object);
 275 }
 276
 277 void factor_vm::primitive_float_to_str()
 278 {
 279         byte_array *array = allot_byte_array(33);
 280         snprintf((char *)(array + 1),32,"%.16g",untag_float_check(dpop()));
 281         dpush(tag<byte_array>(array));
 282 }
 283
 284 #define POP_FLOATS(x,y) \
 285         double y = untag_float(dpop()); \
 286         double x = untag_float(dpop());
 287
 288 void factor_vm::primitive_float_eq()
 289 {
 290         POP_FLOATS(x,y);
 291         box_boolean(x == y);
 292 }
 293
 294 void factor_vm::primitive_float_add()
 295 {
 296         POP_FLOATS(x,y);
 297         box_double(x + y);
 298 }
 299
 300 void factor_vm::primitive_float_subtract()
 301 {
 302         POP_FLOATS(x,y);
 303         box_double(x - y);
 304 }
 305
 306 void factor_vm::primitive_float_multiply()
 307 {
 308         POP_FLOATS(x,y);
 309         box_double(x * y);
 310 }
 311
 312 void factor_vm::primitive_float_divfloat()
 313 {
 314         POP_FLOATS(x,y);
 315         box_double(x / y);
 316 }
 317
 318 void factor_vm::primitive_float_mod()
 319 {
 320         POP_FLOATS(x,y);
 321         box_double(fmod(x,y));
 322 }
 323
 324 void factor_vm::primitive_float_less()
 325 {
 326         POP_FLOATS(x,y);
 327         box_boolean(x < y);
 328 }
 329
 330 void factor_vm::primitive_float_lesseq()
 331 {
 332         POP_FLOATS(x,y);
 333         box_boolean(x <= y);
 334 }
 335
 336 void factor_vm::primitive_float_greater()
 337 {
 338         POP_FLOATS(x,y);
 339         box_boolean(x > y);
 340 }
 341
 342 void factor_vm::primitive_float_greatereq()
 343 {
 344         POP_FLOATS(x,y);
 345         box_boolean(x >= y);
 346 }
 347
 348 void factor_vm::primitive_float_bits()
 349 {
 350         box_unsigned_4(float_bits(untag_float_check(dpop())));
 351 }
 352
 353 void factor_vm::primitive_bits_float()
 354 {
 355         box_float(bits_float(to_cell(dpop())));
 356 }
 357
 358 void factor_vm::primitive_double_bits()
 359 {
 360         box_unsigned_8(double_bits(untag_float_check(dpop())));
 361 }
 362
 363 void factor_vm::primitive_bits_double()
 364 {
 365         box_double(bits_double(to_unsigned_8(dpop())));
 366 }
 367
 368 fixnum factor_vm::to_fixnum(cell tagged)
 369 {
 370         switch(TAG(tagged))
 371         {
 372         case FIXNUM_TYPE:
 373                 return untag_fixnum(tagged);
 374         case BIGNUM_TYPE:
 375                 return bignum_to_fixnum(untag<bignum>(tagged));
 376         default:
 377                 type_error(FIXNUM_TYPE,tagged);
 378                 return 0; /* can't happen */
 379         }
 380 }
 381
 382 VM_C_API fixnum to_fixnum(cell tagged, factor_vm *parent)
 383 {
 384         return parent->to_fixnum(tagged);
 385 }
 386
 387 cell factor_vm::to_cell(cell tagged)
 388 {
 389         return (cell)to_fixnum(tagged);
 390 }
 391
 392 VM_C_API cell to_cell(cell tagged, factor_vm *parent)
 393 {
 394         return parent->to_cell(tagged);
 395 }
 396
 397 void factor_vm::box_signed_1(s8 n)
 398 {
 399         dpush(tag_fixnum(n));
 400 }
 401
 402 VM_C_API void box_signed_1(s8 n, factor_vm *parent)
 403 {
 404         return parent->box_signed_1(n);
 405 }
 406
 407 void factor_vm::box_unsigned_1(u8 n)
 408 {
 409         dpush(tag_fixnum(n));
 410 }
 411
 412 VM_C_API void box_unsigned_1(u8 n, factor_vm *parent)
 413 {
 414         return parent->box_unsigned_1(n);
 415 }
 416
 417 void factor_vm::box_signed_2(s16 n)
 418 {
 419         dpush(tag_fixnum(n));
 420 }
 421
 422 VM_C_API void box_signed_2(s16 n, factor_vm *parent)
 423 {
 424         return parent->box_signed_2(n);
 425 }
 426
 427 void factor_vm::box_unsigned_2(u16 n)
 428 {
 429         dpush(tag_fixnum(n));
 430 }
 431
 432 VM_C_API void box_unsigned_2(u16 n, factor_vm *parent)
 433 {
 434         return parent->box_unsigned_2(n);
 435 }
 436
 437 void factor_vm::box_signed_4(s32 n)
 438 {
 439         dpush(allot_integer(n));
 440 }
 441
 442 VM_C_API void box_signed_4(s32 n, factor_vm *parent)
 443 {
 444         return parent->box_signed_4(n);
 445 }
 446
 447 void factor_vm::box_unsigned_4(u32 n)
 448 {
 449         dpush(allot_cell(n));
 450 }
 451
 452 VM_C_API void box_unsigned_4(u32 n, factor_vm *parent)
 453 {
 454         return parent->box_unsigned_4(n);
 455 }
 456
 457 void factor_vm::box_signed_cell(fixnum integer)
 458 {
 459         dpush(allot_integer(integer));
 460 }
 461
 462 VM_C_API void box_signed_cell(fixnum integer, factor_vm *parent)
 463 {
 464         return parent->box_signed_cell(integer);
 465 }
 466
 467 void factor_vm::box_unsigned_cell(cell cell)
 468 {
 469         dpush(allot_cell(cell));
 470 }
 471
 472 VM_C_API void box_unsigned_cell(cell cell, factor_vm *parent)
 473 {
 474         return parent->box_unsigned_cell(cell);
 475 }
 476
 477 void factor_vm::box_signed_8(s64 n)
 478 {
 479         if(n < fixnum_min || n > fixnum_max)
 480                 dpush(tag<bignum>(long_long_to_bignum(n)));
 481         else
 482                 dpush(tag_fixnum(n));
 483 }
 484
 485 VM_C_API void box_signed_8(s64 n, factor_vm *parent)
 486 {
 487         return parent->box_signed_8(n);
 488 }
 489
 490 s64 factor_vm::to_signed_8(cell obj)
 491 {
 492         switch(tagged<object>(obj).type())
 493         {
 494         case FIXNUM_TYPE:
 495                 return untag_fixnum(obj);
 496         case BIGNUM_TYPE:
 497                 return bignum_to_long_long(untag<bignum>(obj));
 498         default:
 499                 type_error(BIGNUM_TYPE,obj);
 500                 return 0;
 501         }
 502 }
 503
 504 VM_C_API s64 to_signed_8(cell obj, factor_vm *parent)
 505 {
 506         return parent->to_signed_8(obj);
 507 }
 508
 509 void factor_vm::box_unsigned_8(u64 n)
 510 {
 511         if(n > (u64)fixnum_max)
 512                 dpush(tag<bignum>(ulong_long_to_bignum(n)));
 513         else
 514                 dpush(tag_fixnum(n));
 515 }
 516
 517 VM_C_API void box_unsigned_8(u64 n, factor_vm *parent)
 518 {
 519         return parent->box_unsigned_8(n);
 520 }
 521
 522 u64 factor_vm::to_unsigned_8(cell obj)
 523 {
 524         switch(tagged<object>(obj).type())
 525         {
 526         case FIXNUM_TYPE:
 527                 return untag_fixnum(obj);
 528         case BIGNUM_TYPE:
 529                 return bignum_to_ulong_long(untag<bignum>(obj));
 530         default:
 531                 type_error(BIGNUM_TYPE,obj);
 532                 return 0;
 533         }
 534 }
 535
 536 VM_C_API u64 to_unsigned_8(cell obj, factor_vm *parent)
 537 {
 538         return parent->to_unsigned_8(obj);
 539 }
 540
 541 void factor_vm::box_float(float flo)
 542 {
 543         dpush(allot_float(flo));
 544 }
 545
 546 VM_C_API void box_float(float flo, factor_vm *parent)
 547 {
 548         return parent->box_float(flo);
 549 }
 550
 551 float factor_vm::to_float(cell value)
 552 {
 553         return untag_float_check(value);
 554 }
 555
 556 VM_C_API float to_float(cell value, factor_vm *parent)
 557 {
 558         return parent->to_float(value);
 559 }
 560
 561 void factor_vm::box_double(double flo)
 562 {
 563         dpush(allot_float(flo));
 564 }
 565
 566 VM_C_API void box_double(double flo, factor_vm *parent)
 567 {
 568         return parent->box_double(flo);
 569 }
 570
 571 double factor_vm::to_double(cell value)
 572 {
 573         return untag_float_check(value);
 574 }
 575
 576 VM_C_API double to_double(cell value, factor_vm *parent)
 577 {
 578         return parent->to_double(value);
 579 }
 580
 581 /* The fixnum+, fixnum- and fixnum* primitives are defined in cpu_*.S. On
 582 overflow, they call these functions. */
 583 inline void factor_vm::overflow_fixnum_add(fixnum x, fixnum y)
 584 {
 585         drepl(tag<bignum>(fixnum_to_bignum(
 586                 untag_fixnum(x) + untag_fixnum(y))));
 587 }
 588
 589 VM_ASM_API void overflow_fixnum_add(fixnum x, fixnum y, factor_vm *parent)
 590 {
 591         parent->overflow_fixnum_add(x,y);
 592 }
 593
 594 inline void factor_vm::overflow_fixnum_subtract(fixnum x, fixnum y)
 595 {
 596         drepl(tag<bignum>(fixnum_to_bignum(
 597                 untag_fixnum(x) - untag_fixnum(y))));
 598 }
 599
 600 VM_ASM_API void overflow_fixnum_subtract(fixnum x, fixnum y, factor_vm *parent)
 601 {
 602         parent->overflow_fixnum_subtract(x,y);
 603 }
 604
 605 inline void factor_vm::overflow_fixnum_multiply(fixnum x, fixnum y)
 606 {
 607         bignum *bx = fixnum_to_bignum(x);
 608         GC_BIGNUM(bx);
 609         bignum *by = fixnum_to_bignum(y);
 610         GC_BIGNUM(by);
 611         drepl(tag<bignum>(bignum_multiply(bx,by)));
 612 }
 613
 614 VM_ASM_API void overflow_fixnum_multiply(fixnum x, fixnum y, factor_vm *parent)
 615 {
 616         parent->overflow_fixnum_multiply(x,y);
 617 }
 618
 619 }