| 1 | # ---?--- |
| 2 | # |
| 3 | # $Id$ |
| 4 | # |
| 5 | # Elliptic curves |
| 6 | # |
| 7 | # (c) 2001 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 | MODULE = Catacomb PACKAGE = Catacomb::EC::Point PREFIX = ec_ |
| 29 | |
| 30 | EC_Point * |
| 31 | new(x = 0, y = 0, z = 0) |
| 32 | mp *x |
| 33 | mp *y |
| 34 | mp *z |
| 35 | CODE: |
| 36 | RETVAL = CREATE(EC_Point); |
| 37 | EC_CREATE(RETVAL); |
| 38 | if (x && y) { |
| 39 | RETVAL->x = MP_COPY(x); |
| 40 | RETVAL->y = MP_COPY(y); |
| 41 | if (z) |
| 42 | RETVAL->z = MP_COPY(z); |
| 43 | } |
| 44 | OUTPUT: |
| 45 | RETVAL |
| 46 | |
| 47 | bool |
| 48 | atinfp(p) |
| 49 | EC_Point *p |
| 50 | CODE: |
| 51 | RETVAL = EC_ATINF(p); |
| 52 | OUTPUT: |
| 53 | RETVAL |
| 54 | |
| 55 | mp * |
| 56 | x(p) |
| 57 | EC_Point *p |
| 58 | CODE: |
| 59 | RETVAL = p->x ? MP_COPY(p->x) : 0; |
| 60 | OUTPUT: |
| 61 | RETVAL |
| 62 | |
| 63 | mp * |
| 64 | y(p) |
| 65 | EC_Point *p |
| 66 | CODE: |
| 67 | RETVAL = p->y ? MP_COPY(p->y) : 0; |
| 68 | OUTPUT: |
| 69 | RETVAL |
| 70 | |
| 71 | mp * |
| 72 | z(p) |
| 73 | EC_Point *p |
| 74 | CODE: |
| 75 | RETVAL = p->z ? MP_COPY(p->z) : 0; |
| 76 | OUTPUT: |
| 77 | RETVAL |
| 78 | |
| 79 | bool |
| 80 | ec_eq(p, q) |
| 81 | EC_Point *p |
| 82 | EC_Point *q |
| 83 | |
| 84 | SV * |
| 85 | DESTROY(p) |
| 86 | EC_Point *p |
| 87 | CODE: |
| 88 | EC_DESTROY(p); |
| 89 | DESTROY(p); |
| 90 | XSRETURN_YES; |
| 91 | |
| 92 | MODULE = Catacomb PACKAGE = Catacomb::EC::Curve PREFIX = ec_ |
| 93 | |
| 94 | EC_Curve * |
| 95 | ec_prime(me, f, a, b) |
| 96 | SV *me |
| 97 | Field *f |
| 98 | mp *a |
| 99 | mp *b |
| 100 | C_ARGS: |
| 101 | f, a, b |
| 102 | |
| 103 | EC_Curve * |
| 104 | ec_primeproj(me, f, a, b) |
| 105 | SV *me |
| 106 | Field *f |
| 107 | mp *a |
| 108 | mp *b |
| 109 | C_ARGS: |
| 110 | f, a, b |
| 111 | |
| 112 | EC_Curve * |
| 113 | ec_bin(me, f, a, b) |
| 114 | SV *me |
| 115 | Field *f |
| 116 | gf *a |
| 117 | gf *b |
| 118 | C_ARGS: |
| 119 | f, a, b |
| 120 | |
| 121 | EC_Curve * |
| 122 | ec_binproj(me, f, a, b) |
| 123 | SV *me |
| 124 | Field *f |
| 125 | gf *a |
| 126 | gf *b |
| 127 | C_ARGS: |
| 128 | f, a, b |
| 129 | |
| 130 | char * |
| 131 | name(c) |
| 132 | EC_Curve *c |
| 133 | CODE: |
| 134 | RETVAL = (char *)EC_NAME(c); |
| 135 | OUTPUT: |
| 136 | RETVAL |
| 137 | |
| 138 | bool |
| 139 | ec_samep(me, c) |
| 140 | EC_Curve *me |
| 141 | EC_Curve *c |
| 142 | |
| 143 | EC_Point * |
| 144 | find(c, x) |
| 145 | EC_Curve *c |
| 146 | mp *x |
| 147 | CODE: |
| 148 | RETVAL = CREATE(EC_Point); |
| 149 | if (!ec_find(c, RETVAL, x)) { |
| 150 | DESTROY(RETVAL); |
| 151 | RETVAL = 0; |
| 152 | } |
| 153 | OUTPUT: |
| 154 | RETVAL |
| 155 | |
| 156 | EC_Point * |
| 157 | rand(c, r = &rand_global) |
| 158 | EC_Curve *c |
| 159 | grand *r |
| 160 | CODE: |
| 161 | RETVAL = CREATE(EC_Point); |
| 162 | ec_rand(c, RETVAL, r); |
| 163 | OUTPUT: |
| 164 | RETVAL |
| 165 | |
| 166 | EC_Point * |
| 167 | neg(c, p) |
| 168 | EC_Curve *c |
| 169 | EC_Point *p |
| 170 | CODE: |
| 171 | RETVAL = CREATE(EC_Point); |
| 172 | EC_CREATE(RETVAL); |
| 173 | ec_neg(c, RETVAL, p); |
| 174 | OUTPUT: |
| 175 | RETVAL |
| 176 | |
| 177 | EC_Point * |
| 178 | add(c, p, q) |
| 179 | EC_Curve *c |
| 180 | EC_Point *p |
| 181 | EC_Point *q |
| 182 | CODE: |
| 183 | RETVAL = CREATE(EC_Point); |
| 184 | EC_CREATE(RETVAL); |
| 185 | ec_add(c, RETVAL, p, q); |
| 186 | OUTPUT: |
| 187 | RETVAL |
| 188 | |
| 189 | EC_Point * |
| 190 | sub(c, p, q) |
| 191 | EC_Curve *c |
| 192 | EC_Point *p |
| 193 | EC_Point *q |
| 194 | CODE: |
| 195 | RETVAL = CREATE(EC_Point); |
| 196 | EC_CREATE(RETVAL); |
| 197 | ec_sub(c, RETVAL, p, q); |
| 198 | OUTPUT: |
| 199 | RETVAL |
| 200 | |
| 201 | EC_Point * |
| 202 | dbl(c, p) |
| 203 | EC_Curve *c |
| 204 | EC_Point *p |
| 205 | CODE: |
| 206 | RETVAL = CREATE(EC_Point); |
| 207 | EC_CREATE(RETVAL); |
| 208 | ec_dbl(c, RETVAL, p); |
| 209 | OUTPUT: |
| 210 | RETVAL |
| 211 | |
| 212 | bool |
| 213 | ec_check(c, p) |
| 214 | EC_Curve *c |
| 215 | EC_Point *p |
| 216 | |
| 217 | EC_Point * |
| 218 | mul(c, p, x) |
| 219 | EC_Curve *c |
| 220 | EC_Point *p |
| 221 | mp *x |
| 222 | CODE: |
| 223 | RETVAL = CREATE(EC_Point); |
| 224 | EC_CREATE(RETVAL); |
| 225 | ec_mul(c, RETVAL, p, x); |
| 226 | OUTPUT: |
| 227 | RETVAL |
| 228 | |
| 229 | EC_Point * |
| 230 | mmul(c, ...) |
| 231 | EC_Curve *c |
| 232 | PREINIT: |
| 233 | ec_mulfactor *v; |
| 234 | size_t i, j, n; |
| 235 | CODE: |
| 236 | if (items < 3 || !(items & 1)) { |
| 237 | croak("Usage: Catacomb::EC::Curve::mmul" |
| 238 | "(c, p_0, x_0, p_1, x_1, ..."); |
| 239 | } |
| 240 | n = (items - 1)/2; |
| 241 | v = xmalloc(n * sizeof(mp_expfactor)); |
| 242 | for (i = 1, j = 0; i < items; i += 2, j++) { |
| 243 | v[j].base = *(ec *)ptrfromsv(ST(i), "Catacomb::EC::Point", "p_i"); |
| 244 | v[j].exp = mp_fromsv(ST(i + 1), "x_i", "Catacomb::MP", 0, 0); |
| 245 | } |
| 246 | RETVAL = CREATE(RETVAL); |
| 247 | EC_CREATE(RETVAL); |
| 248 | ec_mmul(c, RETVAL, v, n); |
| 249 | xfree(v); |
| 250 | OUTPUT: |
| 251 | RETVAL |
| 252 | |
| 253 | EC_Point * |
| 254 | in(c, p) |
| 255 | EC_Curve *c |
| 256 | EC_Point *p |
| 257 | CODE: |
| 258 | RETVAL = CREATE(EC_Point); |
| 259 | EC_CREATE(RETVAL); |
| 260 | EC_IN(c, RETVAL, p); |
| 261 | OUTPUT: |
| 262 | RETVAL |
| 263 | |
| 264 | EC_Point * |
| 265 | out(c, p) |
| 266 | EC_Curve *c |
| 267 | EC_Point *p |
| 268 | CODE: |
| 269 | RETVAL = CREATE(EC_Point); |
| 270 | EC_CREATE(RETVAL); |
| 271 | EC_OUT(c, RETVAL, p); |
| 272 | OUTPUT: |
| 273 | RETVAL |
| 274 | |
| 275 | EC_Point * |
| 276 | fix(c, p) |
| 277 | EC_Curve *c |
| 278 | EC_Point *p |
| 279 | CODE: |
| 280 | RETVAL = CREATE(EC_Point); |
| 281 | EC_CREATE(RETVAL); |
| 282 | EC_FIX(c, RETVAL, p); |
| 283 | OUTPUT: |
| 284 | RETVAL |
| 285 | |
| 286 | EC_Point * |
| 287 | ifind(c, x) |
| 288 | EC_Curve *c |
| 289 | mp *x |
| 290 | CODE: |
| 291 | RETVAL = CREATE(EC_Point); |
| 292 | if (!EC_FIND(c, RETVAL, x)) { |
| 293 | DESTROY(RETVAL); |
| 294 | RETVAL = 0; |
| 295 | } |
| 296 | OUTPUT: |
| 297 | RETVAL |
| 298 | |
| 299 | EC_Point * |
| 300 | ineg(c, p) |
| 301 | EC_Curve *c |
| 302 | EC_Point *p |
| 303 | CODE: |
| 304 | RETVAL = CREATE(EC_Point); |
| 305 | EC_CREATE(RETVAL); |
| 306 | EC_NEG(c, RETVAL, p); |
| 307 | OUTPUT: |
| 308 | RETVAL |
| 309 | |
| 310 | EC_Point * |
| 311 | iadd(c, p, q) |
| 312 | EC_Curve *c |
| 313 | EC_Point *p |
| 314 | EC_Point *q |
| 315 | CODE: |
| 316 | RETVAL = CREATE(EC_Point); |
| 317 | EC_CREATE(RETVAL); |
| 318 | EC_ADD(c, RETVAL, p, q); |
| 319 | OUTPUT: |
| 320 | RETVAL |
| 321 | |
| 322 | EC_Point * |
| 323 | isub(c, p, q) |
| 324 | EC_Curve *c |
| 325 | EC_Point *p |
| 326 | EC_Point *q |
| 327 | CODE: |
| 328 | RETVAL = CREATE(EC_Point); |
| 329 | EC_CREATE(RETVAL); |
| 330 | EC_SUB(c, RETVAL, p, q); |
| 331 | OUTPUT: |
| 332 | RETVAL |
| 333 | |
| 334 | EC_Point * |
| 335 | idbl(c, p) |
| 336 | EC_Curve *c |
| 337 | EC_Point *p |
| 338 | CODE: |
| 339 | RETVAL = CREATE(EC_Point); |
| 340 | EC_CREATE(RETVAL); |
| 341 | EC_DBL(c, RETVAL, p); |
| 342 | OUTPUT: |
| 343 | RETVAL |
| 344 | |
| 345 | bool |
| 346 | icheck(c, p) |
| 347 | EC_Curve *c |
| 348 | EC_Point *p |
| 349 | CODE: |
| 350 | RETVAL = EC_CHECK(c, p); |
| 351 | OUTPUT: |
| 352 | RETVAL |
| 353 | |
| 354 | EC_Point * |
| 355 | imul(c, p, x) |
| 356 | EC_Curve *c |
| 357 | EC_Point *p |
| 358 | mp *x |
| 359 | CODE: |
| 360 | RETVAL = CREATE(EC_Point); |
| 361 | EC_CREATE(RETVAL); |
| 362 | ec_imul(c, RETVAL, p, x); |
| 363 | OUTPUT: |
| 364 | RETVAL |
| 365 | |
| 366 | EC_Point * |
| 367 | immul(c, ...) |
| 368 | EC_Curve *c |
| 369 | PREINIT: |
| 370 | ec_mulfactor *v; |
| 371 | size_t i, j, n; |
| 372 | CODE: |
| 373 | if (items < 3 || !(items & 1)) { |
| 374 | croak("Usage: Catacomb::EC::Curve::immul" |
| 375 | "(c, p_0, x_0, p_1, x_1, ..."); |
| 376 | } |
| 377 | n = (items - 1)/2; |
| 378 | v = xmalloc(n * sizeof(mp_expfactor)); |
| 379 | for (i = 1, j = 0; i < items; i += 2, j++) { |
| 380 | v[j].base = *(ec *)ptrfromsv(ST(i), "Catacomb::EC::Point", "p_i"); |
| 381 | v[j].exp = mp_fromsv(ST(i + 1), "x_i", "Catacomb::MP", 0, 0); |
| 382 | } |
| 383 | RETVAL = CREATE(RETVAL); |
| 384 | EC_CREATE(RETVAL); |
| 385 | ec_mmul(c, RETVAL, v, n); |
| 386 | xfree(v); |
| 387 | OUTPUT: |
| 388 | RETVAL |
| 389 | |
| 390 | void |
| 391 | getinfo(me, p) |
| 392 | char *p |
| 393 | PREINIT: |
| 394 | ec_info i; |
| 395 | const char *e; |
| 396 | EC_Point *pt; |
| 397 | PPCODE: |
| 398 | if ((e = ec_getinfo(&i, p)) != 0) |
| 399 | croak("bad curve spec: %s", e); |
| 400 | pt = CREATE(EC_Point); |
| 401 | *pt = i.g; |
| 402 | XPUSHs(RET(i.c, "Catacomb::EC::Curve")); |
| 403 | XPUSHs(RET(pt, "Catacomb::EC::Point")); |
| 404 | XPUSHs(RET(i.r, "Catacomb::MP")); |
| 405 | XPUSHs(RET(i.h, "Catacomb::MP")); |
| 406 | |