| 1 | # ---?--- |
| 2 | # |
| 3 | # $Id: mp.xs,v 1.2 2004/04/08 01:36:21 mdw Exp $ |
| 4 | # |
| 5 | # Multiprecision interface |
| 6 | # |
| 7 | # (c) 2000 Straylight/Edgeware |
| 8 | # |
| 9 | |
| 10 | #----- Licensing notice ----------------------------------------------------- |
| 11 | # |
| 12 | # This file is part of the Perl interface to Catacomb. |
| 13 | # |
| 14 | # Catacomb/Perl is free software; you can redistribute it and/or modify |
| 15 | # it under the terms of the GNU General Public License as published by |
| 16 | # the Free Software Foundation; either version 2 of the License, or |
| 17 | # (at your option) any later version. |
| 18 | # |
| 19 | # Catacomb/Perl is distributed in the hope that it will be useful, |
| 20 | # but WITHOUT ANY WARRANTY; without even the implied warranty of |
| 21 | # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
| 22 | # GNU General Public License for more details. |
| 23 | # |
| 24 | # You should have received a copy of the GNU General Public License |
| 25 | # along with Catacomb/Perl; if not, write to the Free Software Foundation, |
| 26 | # Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
| 27 | # |
| 28 | |
| 29 | MODULE = Catacomb PACKAGE = Catacomb::MP PREFIX = mp_ |
| 30 | |
| 31 | mp * |
| 32 | new(me, sv = 0, radix = 0) |
| 33 | SV *me |
| 34 | SV *sv |
| 35 | int radix |
| 36 | CODE: |
| 37 | RETVAL = sv ? mp_fromsv(sv, "sv", radix, 1) : MP_ZERO; |
| 38 | OUTPUT: |
| 39 | RETVAL |
| 40 | |
| 41 | mp * |
| 42 | mp_copy(x) |
| 43 | mp *x |
| 44 | |
| 45 | mp * |
| 46 | loadb(me, sv) |
| 47 | SV *me |
| 48 | SV *sv |
| 49 | PREINIT: |
| 50 | char *p; |
| 51 | STRLEN len; |
| 52 | CODE: |
| 53 | p = SvPV(sv, len); |
| 54 | RETVAL = mp_loadb(MP_NEW, p, len); |
| 55 | OUTPUT: |
| 56 | RETVAL |
| 57 | |
| 58 | mp * |
| 59 | loadl(me, sv) |
| 60 | SV *me |
| 61 | SV *sv |
| 62 | PREINIT: |
| 63 | char *p; |
| 64 | STRLEN len; |
| 65 | CODE: |
| 66 | p = SvPV(sv, len); |
| 67 | RETVAL = mp_loadl(MP_NEW, p, len); |
| 68 | OUTPUT: |
| 69 | RETVAL |
| 70 | |
| 71 | int |
| 72 | metrics(m) |
| 73 | mp *m |
| 74 | INTERFACE_MACRO: |
| 75 | XSINTERFACE_FUNC |
| 76 | XSINTERFACE_FUNC_SETMP |
| 77 | INTERFACE: |
| 78 | octets bits |
| 79 | |
| 80 | SV * |
| 81 | storeb(m, i = -1) |
| 82 | mp *m |
| 83 | int i |
| 84 | PREINIT: |
| 85 | size_t sz; |
| 86 | CODE: |
| 87 | sz = (i < 0) ? mp_octets(m) : i; |
| 88 | RETVAL = NEWSV(0, sz ? sz : 1); |
| 89 | mp_storeb(m, SvPVX(RETVAL), sz); |
| 90 | SvCUR_set(RETVAL, sz); |
| 91 | SvPOK_on(RETVAL); |
| 92 | OUTPUT: |
| 93 | RETVAL |
| 94 | |
| 95 | SV * |
| 96 | storel(m, i = -1) |
| 97 | mp *m |
| 98 | int i |
| 99 | PREINIT: |
| 100 | size_t sz; |
| 101 | CODE: |
| 102 | sz = (i < 0) ? mp_octets(m) : i; |
| 103 | RETVAL = NEWSV(0, sz ? sz : 1); |
| 104 | mp_storel(m, SvPVX(RETVAL), sz); |
| 105 | SvCUR_set(RETVAL, sz); |
| 106 | SvPOK_on(RETVAL); |
| 107 | OUTPUT: |
| 108 | RETVAL |
| 109 | |
| 110 | SV * |
| 111 | tostring(m, radix = 10) |
| 112 | mp *m |
| 113 | int radix |
| 114 | CODE: |
| 115 | RETVAL = NEWSV(0, 0); |
| 116 | mp_writesv(m, RETVAL, radix); |
| 117 | OUTPUT: |
| 118 | RETVAL |
| 119 | |
| 120 | SV * |
| 121 | toint(m) |
| 122 | mp *m |
| 123 | CODE: |
| 124 | RETVAL = newSViv(mp_toiv(m)); |
| 125 | OUTPUT: |
| 126 | RETVAL |
| 127 | |
| 128 | SV * |
| 129 | DESTROY(m) |
| 130 | mp *m |
| 131 | CODE: |
| 132 | mp_drop(m); |
| 133 | XSRETURN_UNDEF; |
| 134 | |
| 135 | mp * |
| 136 | unop(a) |
| 137 | mp *a |
| 138 | C_ARGS: |
| 139 | MP_NEW, a |
| 140 | INTERFACE_MACRO: |
| 141 | XSINTERFACE_FUNC |
| 142 | XSINTERFACE_FUNC_SETMP |
| 143 | INTERFACE: |
| 144 | not sqr sqrt |
| 145 | |
| 146 | mp * |
| 147 | neg(a) |
| 148 | mp *a |
| 149 | CODE: |
| 150 | mp_copy(a); |
| 151 | RETVAL = mp_split(a); |
| 152 | if (RETVAL->v < RETVAL->vl) |
| 153 | RETVAL->f ^= MP_NEG; |
| 154 | OUTPUT: |
| 155 | RETVAL |
| 156 | |
| 157 | mp * |
| 158 | mp_factorial(me, x) |
| 159 | SV *me |
| 160 | IV x |
| 161 | C_ARGS: |
| 162 | x |
| 163 | |
| 164 | mp * |
| 165 | binop(a, b) |
| 166 | mp *a |
| 167 | mp *b |
| 168 | C_ARGS: |
| 169 | MP_NEW, a, b |
| 170 | INTERFACE_MACRO: |
| 171 | XSINTERFACE_FUNC |
| 172 | XSINTERFACE_FUNC_SETMP |
| 173 | INTERFACE: |
| 174 | add sub mul and or xor |
| 175 | |
| 176 | mp * |
| 177 | shiftop(a, n) |
| 178 | mp *a |
| 179 | int n |
| 180 | C_ARGS: |
| 181 | MP_NEW, a, n |
| 182 | INTERFACE_MACRO: |
| 183 | XSINTERFACE_FUNC |
| 184 | XSINTERFACE_FUNC_SETMP |
| 185 | INTERFACE: |
| 186 | lsl lsr |
| 187 | |
| 188 | int |
| 189 | mp_cmp(a, b) |
| 190 | mp *a |
| 191 | mp *b |
| 192 | |
| 193 | int |
| 194 | mp_eq(a, b) |
| 195 | mp *a |
| 196 | mp *b |
| 197 | |
| 198 | int |
| 199 | jacobi(a, n) |
| 200 | mp *a |
| 201 | mp *n |
| 202 | CODE: |
| 203 | if (!MP_LEN(n) || !(n->v[0] & 1)) |
| 204 | croak("n must be odd in Catacomb::MP::jacobi"); |
| 205 | RETVAL = mp_jacobi(a, n); |
| 206 | OUTPUT: |
| 207 | RETVAL |
| 208 | |
| 209 | mp * |
| 210 | mp_modsqrt(p, x) |
| 211 | mp *p |
| 212 | mp *x |
| 213 | C_ARGS: |
| 214 | MP_NEW, x, p |
| 215 | |
| 216 | void |
| 217 | div(a, b) |
| 218 | mp *a |
| 219 | mp *b |
| 220 | PREINIT: |
| 221 | mp *q = MP_NEW, *r = MP_NEW; |
| 222 | PPCODE: |
| 223 | if (MP_EQ(b, MP_ZERO)) |
| 224 | croak("Divide by zero in Catacomb::MP::div"); |
| 225 | q = MP_NEW; |
| 226 | switch (GIMME_V) { |
| 227 | case G_ARRAY: |
| 228 | r = MP_NEW; |
| 229 | mp_div(&q, &r, a, b); |
| 230 | EXTEND(SP, 2); |
| 231 | PUSHs(RET_MP(q)); |
| 232 | PUSHs(RET_MP(r)); |
| 233 | break; |
| 234 | case G_VOID: |
| 235 | break; |
| 236 | default: |
| 237 | mp_div(&q, &r, a, b); |
| 238 | EXTEND(SP, 1); |
| 239 | PUSHs(RET_MP(q)); |
| 240 | break; |
| 241 | } |
| 242 | |
| 243 | void |
| 244 | gcd(a, b) |
| 245 | mp *a |
| 246 | mp *b |
| 247 | PREINIT: |
| 248 | mp *g = MP_NEW, *x = MP_NEW, *y = MP_NEW; |
| 249 | PPCODE: |
| 250 | switch (GIMME_V) { |
| 251 | case G_ARRAY: |
| 252 | mp_gcd(&g, &x, &y, a, b); |
| 253 | EXTEND(SP, 3); |
| 254 | PUSHs(RET_MP(g)); |
| 255 | PUSHs(RET_MP(x)); |
| 256 | PUSHs(RET_MP(y)); |
| 257 | break; |
| 258 | case G_VOID: |
| 259 | break; |
| 260 | default: |
| 261 | mp_gcd(&g, 0, 0, a, b); |
| 262 | EXTEND(SP, 1); |
| 263 | PUSHs(RET_MP(g)); |
| 264 | break; |
| 265 | } |
| 266 | |
| 267 | void |
| 268 | odd(m) |
| 269 | mp *m |
| 270 | PREINIT: |
| 271 | mp *t; |
| 272 | size_t s; |
| 273 | PPCODE: |
| 274 | t = mp_odd(MP_NEW, m, &s); |
| 275 | EXTEND(SP, 2); |
| 276 | PUSHs(RET_MP(t)); |
| 277 | PUSHs(sv_2mortal(newSViv(s))); |
| 278 | |
| 279 | int |
| 280 | smallfactor(x) |
| 281 | mp *x |
| 282 | CODE: |
| 283 | RETVAL = pfilt_smallfactor(x); |
| 284 | OUTPUT: |
| 285 | RETVAL |
| 286 | |
| 287 | MP_Mont * |
| 288 | mont(x) |
| 289 | mp *x |
| 290 | CODE: |
| 291 | if (x->f & MP_NEG) |
| 292 | croak("Argument to Catacomb::MP::mont must be positive"); |
| 293 | if (x->v == x->vl || !(x->v[0] & 1u)) |
| 294 | croak("Argument to Catacomb::MP::mont must be odd"); |
| 295 | RETVAL = CREATE(MP_Mont); |
| 296 | mpmont_create(RETVAL, x); |
| 297 | OUTPUT: |
| 298 | RETVAL |
| 299 | |
| 300 | MP_Barrett * |
| 301 | barrett(x) |
| 302 | mp *x |
| 303 | CODE: |
| 304 | if (x->f & MP_NEG) |
| 305 | croak("Argument to Catacomb::MP::barrett must be positive"); |
| 306 | RETVAL = CREATE(mpbarrett); |
| 307 | mpbarrett_create(RETVAL, x); |
| 308 | OUTPUT: |
| 309 | RETVAL |
| 310 | |
| 311 | MP_Prime_Rabin * |
| 312 | rabin(x) |
| 313 | mp *x |
| 314 | CODE: |
| 315 | if (x->f & MP_NEG) |
| 316 | croak("Argument to Catacomb::MP::rabin must be positive"); |
| 317 | if (x->v == x->vl || !(x->v[0] & 1u)) |
| 318 | croak("Argument to Catacomb::MP::rabin must be odd"); |
| 319 | RETVAL = CREATE(MP_Prime_Rabin); |
| 320 | rabin_create(RETVAL, x); |
| 321 | OUTPUT: |
| 322 | RETVAL |
| 323 | |
| 324 | MODULE = Catacomb PACKAGE = Catacomb::MP::Mont PREFIX = mpmont_ |
| 325 | |
| 326 | MP_Mont * |
| 327 | new(me, x) |
| 328 | SV *me |
| 329 | mp *x |
| 330 | CODE: |
| 331 | if (x->f & MP_NEG) |
| 332 | croak("Argument to Catacomb::MP::Mont::new must be positive"); |
| 333 | if (x->v == x->vl || !(x->v[0] & 1u)) |
| 334 | croak("Argument to Catacomb::MP::Mont::new must be odd"); |
| 335 | RETVAL = CREATE(MP_Mont); |
| 336 | mpmont_create(RETVAL, x); |
| 337 | OUTPUT: |
| 338 | RETVAL |
| 339 | |
| 340 | SV * |
| 341 | DESTROY(mm) |
| 342 | MP_Mont *mm |
| 343 | CODE: |
| 344 | mpmont_destroy(mm); |
| 345 | DESTROY(mm); |
| 346 | XSRETURN_UNDEF; |
| 347 | |
| 348 | mp * |
| 349 | mpmont_reduce(mm, x) |
| 350 | MP_Mont *mm |
| 351 | mp *x |
| 352 | C_ARGS: |
| 353 | mm, MP_NEW, x |
| 354 | |
| 355 | mp * |
| 356 | mpmont_mul(mm, x, y) |
| 357 | MP_Mont *mm |
| 358 | mp *x |
| 359 | mp *y |
| 360 | C_ARGS: |
| 361 | mm, MP_NEW, x, y |
| 362 | |
| 363 | mp * |
| 364 | mpmont_expr(mm, g, x) |
| 365 | MP_Mont *mm |
| 366 | mp *g |
| 367 | mp *x |
| 368 | C_ARGS: |
| 369 | mm, MP_NEW, g, x |
| 370 | |
| 371 | mp * |
| 372 | mpmont_exp(mm, g, x) |
| 373 | MP_Mont *mm |
| 374 | mp *g |
| 375 | mp *x |
| 376 | C_ARGS: |
| 377 | mm, MP_NEW, g, x |
| 378 | |
| 379 | mp * |
| 380 | mpmont_mexpr(mm, ...) |
| 381 | MP_Mont *mm |
| 382 | PREINIT: |
| 383 | mp_expfactor *v; |
| 384 | size_t i, j, n; |
| 385 | CODE: |
| 386 | if (items < 3 || !(items & 1)) { |
| 387 | croak("Usage: Catacomb::MP::Mont::mexpr" |
| 388 | "(mm, g_0, x_0, g_1, x_1, ..."); |
| 389 | } |
| 390 | n = (items - 1)/2; |
| 391 | v = xmalloc(n * sizeof(mp_expfactor)); |
| 392 | for (i = 1, j = 0; i < items; i += 2, j++) { |
| 393 | v[j].base = mp_fromsv(ST(i), "g_i", 0, 0); |
| 394 | v[j].exp = mp_fromsv(ST(i + 1), "x_i", 0, 0); |
| 395 | } |
| 396 | RETVAL = mpmont_mexpr(mm, MP_NEW, v, n); |
| 397 | xfree(v); |
| 398 | OUTPUT: |
| 399 | RETVAL |
| 400 | |
| 401 | mp * |
| 402 | mpmont_mexp(mm, ...) |
| 403 | MP_Mont *mm |
| 404 | PREINIT: |
| 405 | mp_expfactor *v; |
| 406 | size_t i, j, n; |
| 407 | CODE: |
| 408 | if (items < 3 || !(items & 1)) { |
| 409 | croak("Usage: Catacomb::MP::Mont::mexp" |
| 410 | "(mm, g_0, x_0, g_1, x_1, ..."); |
| 411 | } |
| 412 | n = (items - 1)/2; |
| 413 | v = xmalloc(n * sizeof(mp_expfactor)); |
| 414 | for (i = 1, j = 0; i < items; i += 2, j++) { |
| 415 | v[j].base = mp_fromsv(ST(i), "g_%lu", 0, 0, (unsigned long)i); |
| 416 | v[j].exp = mp_fromsv(ST(i + 1), "x_%lu", 0, 0, (unsigned long)i); |
| 417 | } |
| 418 | RETVAL = mpmont_mexp(mm, MP_NEW, v, n); |
| 419 | xfree(v); |
| 420 | OUTPUT: |
| 421 | RETVAL |
| 422 | |
| 423 | mp * |
| 424 | r(mm) |
| 425 | MP_Mont *mm |
| 426 | CODE: |
| 427 | RETVAL = mp_copy(mm->r); |
| 428 | OUTPUT: |
| 429 | RETVAL |
| 430 | |
| 431 | mp * |
| 432 | r2(mm) |
| 433 | MP_Mont *mm |
| 434 | CODE: |
| 435 | RETVAL = mp_copy(mm->r2); |
| 436 | OUTPUT: |
| 437 | RETVAL |
| 438 | |
| 439 | mp * |
| 440 | m(mm) |
| 441 | MP_Mont *mm |
| 442 | CODE: |
| 443 | RETVAL = mp_copy(mm->m); |
| 444 | OUTPUT: |
| 445 | RETVAL |
| 446 | |
| 447 | MODULE = Catacomb PACKAGE = Catacomb::MP::Barrett PREFIX = mpbarrett_ |
| 448 | |
| 449 | MP_Barrett * |
| 450 | new(me, x) |
| 451 | SV *me |
| 452 | mp *x |
| 453 | CODE: |
| 454 | if (x->f & MP_NEG) |
| 455 | croak("Argument to Catacomb::MP::Barrett::new must be positive"); |
| 456 | RETVAL = CREATE(mpbarrett); |
| 457 | mpbarrett_create(RETVAL, x); |
| 458 | OUTPUT: |
| 459 | RETVAL |
| 460 | |
| 461 | SV * |
| 462 | DESTROY(mb) |
| 463 | MP_Barrett *mb |
| 464 | CODE: |
| 465 | mpbarrett_destroy(mb); |
| 466 | DESTROY(mb); |
| 467 | XSRETURN_UNDEF; |
| 468 | |
| 469 | mp * |
| 470 | mpbarrett_reduce(mb, x) |
| 471 | MP_Barrett *mb |
| 472 | mp *x |
| 473 | C_ARGS: |
| 474 | mb, MP_NEW, x |
| 475 | |
| 476 | mp * |
| 477 | mpbarrett_exp(mb, g, x) |
| 478 | MP_Barrett *mb |
| 479 | mp *g |
| 480 | mp *x |
| 481 | C_ARGS: |
| 482 | mb, MP_NEW, g, x |
| 483 | |
| 484 | mp * |
| 485 | m(mb) |
| 486 | MP_Barrett *mb |
| 487 | CODE: |
| 488 | RETVAL = mp_copy(mb->m); |
| 489 | OUTPUT: |
| 490 | RETVAL |
| 491 | |
| 492 | MODULE = Catacomb PACKAGE = Catacomb::MP::CRT |
| 493 | |
| 494 | MP_CRT * |
| 495 | new(me, ...) |
| 496 | SV *me |
| 497 | PREINIT: |
| 498 | mpcrt_mod *v; |
| 499 | size_t n, i; |
| 500 | CODE: |
| 501 | if (items < 1) |
| 502 | croak("Usage: Catacomb::MP::CRT::new(me, n_0, n_1, ...)"); |
| 503 | n = items - 1; |
| 504 | v = xmalloc(n * sizeof(mpcrt_mod)); |
| 505 | for (i = 0; i < n; i++) { |
| 506 | v[i].m = mp_copy(mp_fromsv(ST(i + 1), "n_%lu", 0, 0, |
| 507 | (unsigned long)i)); |
| 508 | } |
| 509 | RETVAL = CREATE(MP_CRT); |
| 510 | mpcrt_create(RETVAL, v, n, 0); |
| 511 | OUTPUT: |
| 512 | RETVAL |
| 513 | |
| 514 | SV * |
| 515 | DESTROY(mc) |
| 516 | MP_CRT *mc |
| 517 | CODE: |
| 518 | mpcrt_destroy(mc); |
| 519 | xfree(mc->v); |
| 520 | DESTROY(mc); |
| 521 | XSRETURN_UNDEF; |
| 522 | |
| 523 | mp * |
| 524 | solve(mc, ...) |
| 525 | MP_CRT *mc |
| 526 | PREINIT: |
| 527 | mp **v; |
| 528 | size_t n, i; |
| 529 | CODE: |
| 530 | n = mc->k; |
| 531 | if (items - 1 != n) |
| 532 | croak("Wrong number of residues for this CRT context"); |
| 533 | for (i = 0; i < n; i++) |
| 534 | v[i] = mp_fromsv(ST(i + 1), "r_%lu", 0, 0, (unsigned long)i); |
| 535 | RETVAL = mpcrt_solve(mc, MP_NEW, v); |
| 536 | xfree(v); |
| 537 | OUTPUT: |
| 538 | RETVAL |
| 539 | |
| 540 | #----- That's all, folks ---------------------------------------------------- |