vm/math.cpp

   1 #include "master.hpp"
   2
   3 namespace factor
   4 {
   5
   6 void factor_vm::primitive_bignum_to_fixnum()
   7 {
   8         ctx->replace(tag_fixnum(bignum_to_fixnum(untag<bignum>(ctx->peek()))));
   9 }
  10
  11 void factor_vm::primitive_float_to_fixnum()
  12 {
  13         ctx->replace(tag_fixnum(float_to_fixnum(ctx->peek())));
  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(ctx->pop()); \
  21         fixnum x = untag_fixnum(ctx->peek());
  22         fixnum result = x / y;
  23         if(result == -fixnum_min)
  24                 ctx->replace(allot_integer(-fixnum_min));
  25         else
  26                 ctx->replace(tag_fixnum(result));
  27 }
  28
  29 void factor_vm::primitive_fixnum_divmod()
  30 {
  31         cell y = ((cell *)ctx->datastack)[0];
  32         cell x = ((cell *)ctx->datastack)[-1];
  33         if(y == tag_fixnum(-1) && x == tag_fixnum(fixnum_min))
  34         {
  35                 ((cell *)ctx->datastack)[-1] = allot_integer(-fixnum_min);
  36                 ((cell *)ctx->datastack)[0] = tag_fixnum(0);
  37         }
  38         else
  39         {
  40                 ((cell *)ctx->datastack)[-1] = tag_fixnum(untag_fixnum(x) / untag_fixnum(y));
  41                 ((cell *)ctx->datastack)[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(ctx->pop());
  67         fixnum x = untag_fixnum(ctx->peek());
  68
  69         if(x == 0)
  70                 return;
  71         else if(y < 0)
  72         {
  73                 y = branchless_max(y,-WORD_SIZE + 1);
  74                 ctx->replace(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                         ctx->replace(tag_fixnum(x << y));
  83                         return;
  84                 }
  85         }
  86
  87         ctx->replace(tag<bignum>(bignum_arithmetic_shift(
  88                 fixnum_to_bignum(x),y)));
  89 }
  90
  91 void factor_vm::primitive_fixnum_to_bignum()
  92 {
  93         ctx->replace(tag<bignum>(fixnum_to_bignum(untag_fixnum(ctx->peek()))));
  94 }
  95
  96 void factor_vm::primitive_float_to_bignum()
  97 {
  98         ctx->replace(tag<bignum>(float_to_bignum(ctx->peek())));
  99 }
 100
 101 #define POP_BIGNUMS(x,y) \
 102         bignum * y = untag<bignum>(ctx->pop()); \
 103         bignum * x = untag<bignum>(ctx->pop());
 104
 105 void factor_vm::primitive_bignum_eq()
 106 {
 107         POP_BIGNUMS(x,y);
 108         ctx->push(tag_boolean(bignum_equal_p(x,y)));
 109 }
 110
 111 void factor_vm::primitive_bignum_add()
 112 {
 113         POP_BIGNUMS(x,y);
 114         ctx->push(tag<bignum>(bignum_add(x,y)));
 115 }
 116
 117 void factor_vm::primitive_bignum_subtract()
 118 {
 119         POP_BIGNUMS(x,y);
 120         ctx->push(tag<bignum>(bignum_subtract(x,y)));
 121 }
 122
 123 void factor_vm::primitive_bignum_multiply()
 124 {
 125         POP_BIGNUMS(x,y);
 126         ctx->push(tag<bignum>(bignum_multiply(x,y)));
 127 }
 128
 129 void factor_vm::primitive_bignum_divint()
 130 {
 131         POP_BIGNUMS(x,y);
 132         ctx->push(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         ctx->push(tag<bignum>(q));
 141         ctx->push(tag<bignum>(r));
 142 }
 143
 144 void factor_vm::primitive_bignum_mod()
 145 {
 146         POP_BIGNUMS(x,y);
 147         ctx->push(tag<bignum>(bignum_remainder(x,y)));
 148 }
 149
 150 void factor_vm::primitive_bignum_and()
 151 {
 152         POP_BIGNUMS(x,y);
 153         ctx->push(tag<bignum>(bignum_bitwise_and(x,y)));
 154 }
 155
 156 void factor_vm::primitive_bignum_or()
 157 {
 158         POP_BIGNUMS(x,y);
 159         ctx->push(tag<bignum>(bignum_bitwise_ior(x,y)));
 160 }
 161
 162 void factor_vm::primitive_bignum_xor()
 163 {
 164         POP_BIGNUMS(x,y);
 165         ctx->push(tag<bignum>(bignum_bitwise_xor(x,y)));
 166 }
 167
 168 void factor_vm::primitive_bignum_shift()
 169 {
 170         fixnum y = untag_fixnum(ctx->pop());
 171         bignum* x = untag<bignum>(ctx->pop());
 172         ctx->push(tag<bignum>(bignum_arithmetic_shift(x,y)));
 173 }
 174
 175 void factor_vm::primitive_bignum_less()
 176 {
 177         POP_BIGNUMS(x,y);
 178         ctx->push(tag_boolean(bignum_compare(x,y) == bignum_comparison_less));
 179 }
 180
 181 void factor_vm::primitive_bignum_lesseq()
 182 {
 183         POP_BIGNUMS(x,y);
 184         ctx->push(tag_boolean(bignum_compare(x,y) != bignum_comparison_greater));
 185 }
 186
 187 void factor_vm::primitive_bignum_greater()
 188 {
 189         POP_BIGNUMS(x,y);
 190         ctx->push(tag_boolean(bignum_compare(x,y) == bignum_comparison_greater));
 191 }
 192
 193 void factor_vm::primitive_bignum_greatereq()
 194 {
 195         POP_BIGNUMS(x,y);
 196         ctx->push(tag_boolean(bignum_compare(x,y) != bignum_comparison_less));
 197 }
 198
 199 void factor_vm::primitive_bignum_not()
 200 {
 201         ctx->replace(tag<bignum>(bignum_bitwise_not(untag<bignum>(ctx->peek()))));
 202 }
 203
 204 void factor_vm::primitive_bignum_bitp()
 205 {
 206         int bit = (int)to_fixnum(ctx->pop());
 207         bignum *x = untag<bignum>(ctx->pop());
 208         ctx->push(tag_boolean(bignum_logbitp(bit,x)));
 209 }
 210
 211 void factor_vm::primitive_bignum_log2()
 212 {
 213         ctx->replace(tag<bignum>(bignum_integer_length(untag<bignum>(ctx->peek()))));
 214 }
 215
 216 unsigned int factor_vm::bignum_producer(unsigned int digit)
 217 {
 218         unsigned char *ptr = (unsigned char *)alien_offset(ctx->peek());
 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         unsigned int n_digits = (unsigned int)array_capacity(untag_check<byte_array>(ctx->peek()));
 230         bignum * result = digit_stream_to_bignum(n_digits,factor::bignum_producer,0x100,0);
 231         ctx->replace(tag<bignum>(result));
 232 }
 233
 234 cell factor_vm::unbox_array_size_slow()
 235 {
 236         if(tagged<object>(ctx->peek()).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>(ctx->peek());
 241                 if(bignum_compare(n,zero) != bignum_comparison_less
 242                         && bignum_compare(n,max) == bignum_comparison_less)
 243                 {
 244                         ctx->pop();
 245                         return bignum_to_cell(n);
 246                 }
 247         }
 248
 249         general_error(ERROR_ARRAY_SIZE,ctx->pop(),tag_fixnum(array_size_max),NULL);
 250         return 0; /* can't happen */
 251 }
 252
 253 void factor_vm::primitive_fixnum_to_float()
 254 {
 255         ctx->replace(allot_float(fixnum_to_float(ctx->peek())));
 256 }
 257
 258 void factor_vm::primitive_bignum_to_float()
 259 {
 260         ctx->replace(allot_float(bignum_to_float(ctx->peek())));
 261 }
 262
 263 void factor_vm::primitive_float_to_str()
 264 {
 265         byte_array *array = allot_byte_array(33);
 266         SNPRINTF((char *)(array + 1),32,"%.16g",untag_float_check(ctx->pop()));
 267         ctx->push(tag<byte_array>(array));
 268 }
 269
 270 #define POP_FLOATS(x,y) \
 271         double y = untag_float(ctx->pop()); \
 272         double x = untag_float(ctx->pop());
 273
 274 void factor_vm::primitive_float_eq()
 275 {
 276         POP_FLOATS(x,y);
 277         ctx->push(tag_boolean(x == y));
 278 }
 279
 280 void factor_vm::primitive_float_add()
 281 {
 282         POP_FLOATS(x,y);
 283         ctx->push(allot_float(x + y));
 284 }
 285
 286 void factor_vm::primitive_float_subtract()
 287 {
 288         POP_FLOATS(x,y);
 289         ctx->push(allot_float(x - y));
 290 }
 291
 292 void factor_vm::primitive_float_multiply()
 293 {
 294         POP_FLOATS(x,y);
 295         ctx->push(allot_float(x * y));
 296 }
 297
 298 void factor_vm::primitive_float_divfloat()
 299 {
 300         POP_FLOATS(x,y);
 301         ctx->push(allot_float(x / y));
 302 }
 303
 304 void factor_vm::primitive_float_mod()
 305 {
 306         POP_FLOATS(x,y);
 307         ctx->push(allot_float(fmod(x,y)));
 308 }
 309
 310 void factor_vm::primitive_float_less()
 311 {
 312         POP_FLOATS(x,y);
 313         ctx->push(tag_boolean(x < y));
 314 }
 315
 316 void factor_vm::primitive_float_lesseq()
 317 {
 318         POP_FLOATS(x,y);
 319         ctx->push(tag_boolean(x <= y));
 320 }
 321
 322 void factor_vm::primitive_float_greater()
 323 {
 324         POP_FLOATS(x,y);
 325         ctx->push(tag_boolean(x > y));
 326 }
 327
 328 void factor_vm::primitive_float_greatereq()
 329 {
 330         POP_FLOATS(x,y);
 331         ctx->push(tag_boolean(x >= y));
 332 }
 333
 334 void factor_vm::primitive_float_bits()
 335 {
 336         ctx->push(from_unsigned_4(float_bits((float)untag_float_check(ctx->pop()))));
 337 }
 338
 339 void factor_vm::primitive_bits_float()
 340 {
 341         ctx->push(allot_float(bits_float((u32)to_cell(ctx->pop()))));
 342 }
 343
 344 void factor_vm::primitive_double_bits()
 345 {
 346         ctx->push(from_unsigned_8(double_bits(untag_float_check(ctx->pop()))));
 347 }
 348
 349 void factor_vm::primitive_bits_double()
 350 {
 351         ctx->push(allot_float(bits_double(to_unsigned_8(ctx->pop()))));
 352 }
 353
 354 /* Cannot allocate */
 355 fixnum factor_vm::to_fixnum(cell tagged)
 356 {
 357         switch(TAG(tagged))
 358         {
 359         case FIXNUM_TYPE:
 360                 return untag_fixnum(tagged);
 361         case BIGNUM_TYPE:
 362                 return bignum_to_fixnum(untag<bignum>(tagged));
 363         default:
 364                 type_error(FIXNUM_TYPE,tagged);
 365                 return 0; /* can't happen */
 366         }
 367 }
 368
 369 VM_C_API fixnum to_fixnum(cell tagged, factor_vm *parent)
 370 {
 371         return parent->to_fixnum(tagged);
 372 }
 373
 374 cell factor_vm::to_cell(cell tagged)
 375 {
 376         return (cell)to_fixnum(tagged);
 377 }
 378
 379 VM_C_API cell to_cell(cell tagged, factor_vm *parent)
 380 {
 381         return parent->to_cell(tagged);
 382 }
 383
 384 cell factor_vm::from_signed_1(s8 n)
 385 {
 386         return tag_fixnum(n);
 387 }
 388
 389 VM_C_API cell from_signed_1(s8 n, factor_vm *parent)
 390 {
 391         return parent->from_signed_1(n);
 392 }
 393
 394 cell factor_vm::from_unsigned_1(u8 n)
 395 {
 396         return tag_fixnum(n);
 397 }
 398
 399 VM_C_API cell from_unsigned_1(u8 n, factor_vm *parent)
 400 {
 401         return parent->from_unsigned_1(n);
 402 }
 403
 404 cell factor_vm::from_signed_2(s16 n)
 405 {
 406         return tag_fixnum(n);
 407 }
 408
 409 VM_C_API cell from_signed_2(s16 n, factor_vm *parent)
 410 {
 411         return parent->from_signed_2(n);
 412 }
 413
 414 cell factor_vm::from_unsigned_2(u16 n)
 415 {
 416         return tag_fixnum(n);
 417 }
 418
 419 VM_C_API cell from_unsigned_2(u16 n, factor_vm *parent)
 420 {
 421         return parent->from_unsigned_2(n);
 422 }
 423
 424 cell factor_vm::from_signed_4(s32 n)
 425 {
 426         return allot_integer(n);
 427 }
 428
 429 VM_C_API cell from_signed_4(s32 n, factor_vm *parent)
 430 {
 431         return parent->from_signed_4(n);
 432 }
 433
 434 cell factor_vm::from_unsigned_4(u32 n)
 435 {
 436         return allot_cell(n);
 437 }
 438
 439 VM_C_API cell from_unsigned_4(u32 n, factor_vm *parent)
 440 {
 441         return parent->from_unsigned_4(n);
 442 }
 443
 444 cell factor_vm::from_signed_cell(fixnum integer)
 445 {
 446         return allot_integer(integer);
 447 }
 448
 449 cell factor_vm::from_unsigned_cell(cell integer)
 450 {
 451         return allot_cell(integer);
 452 }
 453
 454 VM_C_API cell from_signed_cell(fixnum integer, factor_vm *parent)
 455 {
 456         return parent->from_signed_cell(integer);
 457 }
 458
 459 VM_C_API cell from_unsigned_cell(cell integer, factor_vm *parent)
 460 {
 461         return parent->from_unsigned_cell(integer);
 462 }
 463
 464 cell factor_vm::from_signed_8(s64 n)
 465 {
 466         if(n < fixnum_min || n > fixnum_max)
 467                 return tag<bignum>(long_long_to_bignum(n));
 468         else
 469                 return tag_fixnum((fixnum)n);
 470 }
 471
 472 VM_C_API cell from_signed_8(s64 n, factor_vm *parent)
 473 {
 474         return parent->from_signed_8(n);
 475 }
 476
 477 /* Cannot allocate */
 478 s64 factor_vm::to_signed_8(cell obj)
 479 {
 480         switch(tagged<object>(obj).type())
 481         {
 482         case FIXNUM_TYPE:
 483                 return untag_fixnum(obj);
 484         case BIGNUM_TYPE:
 485                 return bignum_to_long_long(untag<bignum>(obj));
 486         default:
 487                 type_error(BIGNUM_TYPE,obj);
 488                 return 0;
 489         }
 490 }
 491
 492 VM_C_API s64 to_signed_8(cell obj, factor_vm *parent)
 493 {
 494         return parent->to_signed_8(obj);
 495 }
 496
 497 cell factor_vm::from_unsigned_8(u64 n)
 498 {
 499         if(n > (u64)fixnum_max)
 500                 return tag<bignum>(ulong_long_to_bignum(n));
 501         else
 502                 return tag_fixnum((fixnum)n);
 503 }
 504
 505 VM_C_API cell from_unsigned_8(u64 n, factor_vm *parent)
 506 {
 507         return parent->from_unsigned_8(n);
 508 }
 509
 510 /* Cannot allocate */
 511 u64 factor_vm::to_unsigned_8(cell obj)
 512 {
 513         switch(tagged<object>(obj).type())
 514         {
 515         case FIXNUM_TYPE:
 516                 return untag_fixnum(obj);
 517         case BIGNUM_TYPE:
 518                 return bignum_to_ulong_long(untag<bignum>(obj));
 519         default:
 520                 type_error(BIGNUM_TYPE,obj);
 521                 return 0;
 522         }
 523 }
 524
 525 VM_C_API u64 to_unsigned_8(cell obj, factor_vm *parent)
 526 {
 527         return parent->to_unsigned_8(obj);
 528 }
 529
 530 VM_C_API cell from_float(float flo, factor_vm *parent)
 531 {
 532         return parent->allot_float(flo);
 533 }
 534
 535 /* Cannot allocate */
 536 float factor_vm::to_float(cell value)
 537 {
 538         return (float)untag_float_check(value);
 539 }
 540
 541 VM_C_API float to_float(cell value, factor_vm *parent)
 542 {
 543         return parent->to_float(value);
 544 }
 545
 546 VM_C_API cell from_double(double flo, factor_vm *parent)
 547 {
 548         return parent->allot_float(flo);
 549 }
 550
 551 /* Cannot allocate */
 552 double factor_vm::to_double(cell value)
 553 {
 554         return untag_float_check(value);
 555 }
 556
 557 VM_C_API double to_double(cell value, factor_vm *parent)
 558 {
 559         return parent->to_double(value);
 560 }
 561
 562 /* The fixnum+, fixnum- and fixnum* primitives are defined in cpu_*.S. On
 563 overflow, they call these functions. */
 564 inline void factor_vm::overflow_fixnum_add(fixnum x, fixnum y)
 565 {
 566         ctx->replace(tag<bignum>(fixnum_to_bignum(
 567                 untag_fixnum(x) + untag_fixnum(y))));
 568 }
 569
 570 VM_C_API void overflow_fixnum_add(fixnum x, fixnum y, factor_vm *parent)
 571 {
 572         parent->overflow_fixnum_add(x,y);
 573 }
 574
 575 inline void factor_vm::overflow_fixnum_subtract(fixnum x, fixnum y)
 576 {
 577         ctx->replace(tag<bignum>(fixnum_to_bignum(
 578                 untag_fixnum(x) - untag_fixnum(y))));
 579 }
 580
 581 VM_C_API void overflow_fixnum_subtract(fixnum x, fixnum y, factor_vm *parent)
 582 {
 583         parent->overflow_fixnum_subtract(x,y);
 584 }
 585
 586 inline void factor_vm::overflow_fixnum_multiply(fixnum x, fixnum y)
 587 {
 588         bignum *bx = fixnum_to_bignum(x);
 589         GC_BIGNUM(bx);
 590         bignum *by = fixnum_to_bignum(y);
 591         GC_BIGNUM(by);
 592         ctx->replace(tag<bignum>(bignum_multiply(bx,by)));
 593 }
 594
 595 VM_C_API void overflow_fixnum_multiply(fixnum x, fixnum y, factor_vm *parent)
 596 {
 597         parent->overflow_fixnum_multiply(x,y);
 598 }
 599
 600 }