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b0ab12e6 | 1 | /* -*-c-*- |
2 | * | |
b0ab12e6 | 3 | * Elliptic curves over prime fields |
4 | * | |
5 | * (c) 2001 Straylight/Edgeware | |
6 | */ | |
7 | ||
45c0fd36 | 8 | /*----- Licensing notice --------------------------------------------------* |
b0ab12e6 | 9 | * |
10 | * This file is part of Catacomb. | |
11 | * | |
12 | * Catacomb is free software; you can redistribute it and/or modify | |
13 | * it under the terms of the GNU Library General Public License as | |
14 | * published by the Free Software Foundation; either version 2 of the | |
15 | * License, or (at your option) any later version. | |
45c0fd36 | 16 | * |
b0ab12e6 | 17 | * Catacomb is distributed in the hope that it will be useful, |
18 | * but WITHOUT ANY WARRANTY; without even the implied warranty of | |
19 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | |
20 | * GNU Library General Public License for more details. | |
45c0fd36 | 21 | * |
b0ab12e6 | 22 | * You should have received a copy of the GNU Library General Public |
23 | * License along with Catacomb; if not, write to the Free | |
24 | * Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, | |
25 | * MA 02111-1307, USA. | |
26 | */ | |
27 | ||
b0ab12e6 | 28 | /*----- Header files ------------------------------------------------------*/ |
29 | ||
41cb1beb | 30 | #include <mLib/sub.h> |
31 | ||
b0ab12e6 | 32 | #include "ec.h" |
33 | ||
dbfee00a | 34 | /*----- Simple prime curves -----------------------------------------------*/ |
b0ab12e6 | 35 | |
8823192f | 36 | static const ec_ops ec_primeops, ec_primeprojops, ec_primeprojxops; |
41cb1beb | 37 | |
38 | static ec *ecneg(ec_curve *c, ec *d, const ec *p) | |
b085fd91 | 39 | { |
40 | EC_COPY(d, p); | |
ceb3f0c0 | 41 | if (d->y) |
42 | d->y = F_NEG(c->f, d->y, d->y); | |
b085fd91 | 43 | return (d); |
44 | } | |
45 | ||
8823192f | 46 | static ec *ecfind(ec_curve *c, ec *d, mp *x) |
47 | { | |
48 | mp *p, *q; | |
8823192f | 49 | field *f = c->f; |
50 | ||
51 | q = F_SQR(f, MP_NEW, x); | |
52 | p = F_MUL(f, MP_NEW, x, q); | |
432c4e18 | 53 | q = F_MUL(f, q, x, c->a); |
8823192f | 54 | p = F_ADD(f, p, p, q); |
432c4e18 | 55 | p = F_ADD(f, p, p, c->b); |
8823192f | 56 | MP_DROP(q); |
57 | p = F_SQRT(f, p, p); | |
58 | if (!p) | |
59 | return (0); | |
60 | EC_DESTROY(d); | |
61 | d->x = MP_COPY(x); | |
62 | d->y = p; | |
63 | d->z = MP_COPY(f->one); | |
b085fd91 | 64 | return (d); |
65 | } | |
66 | ||
67 | static ec *ecdbl(ec_curve *c, ec *d, const ec *a) | |
b0ab12e6 | 68 | { |
1ccdb13a | 69 | if (EC_ATINF(a) || F_ZEROP(c->f, a->y)) |
b085fd91 | 70 | EC_SETINF(d); |
b085fd91 | 71 | else { |
72 | field *f = c->f; | |
b085fd91 | 73 | mp *lambda; |
74 | mp *dy, *dx; | |
75 | ||
8823192f | 76 | dx = F_SQR(f, MP_NEW, a->x); /* %$x^2$% */ |
77 | dy = F_DBL(f, MP_NEW, a->y); /* %$2 y$% */ | |
78 | dx = F_TPL(f, dx, dx); /* %$3 x^2$% */ | |
432c4e18 | 79 | dx = F_ADD(f, dx, dx, c->a); /* %$3 x^2 + A$% */ |
8823192f | 80 | dy = F_INV(f, dy, dy); /* %$(2 y)^{-1}$% */ |
81 | lambda = F_MUL(f, MP_NEW, dx, dy); /* %$\lambda = (3 x^2 + A)/(2 y)$% */ | |
b085fd91 | 82 | |
8823192f | 83 | dx = F_SQR(f, dx, lambda); /* %$\lambda^2$% */ |
84 | dy = F_DBL(f, dy, a->x); /* %$2 x$% */ | |
85 | dx = F_SUB(f, dx, dx, dy); /* %$x' = \lambda^2 - 2 x */ | |
86 | dy = F_SUB(f, dy, a->x, dx); /* %$x - x'$% */ | |
87 | dy = F_MUL(f, dy, lambda, dy); /* %$\lambda (x - x')$% */ | |
88 | dy = F_SUB(f, dy, dy, a->y); /* %$y' = \lambda (x - x') - y$% */ | |
b0ab12e6 | 89 | |
b085fd91 | 90 | EC_DESTROY(d); |
91 | d->x = dx; | |
92 | d->y = dy; | |
93 | d->z = 0; | |
94 | MP_DROP(lambda); | |
95 | } | |
96 | return (d); | |
97 | } | |
98 | ||
8823192f | 99 | static ec *ecprojdbl(ec_curve *c, ec *d, const ec *a) |
100 | { | |
1ccdb13a | 101 | if (EC_ATINF(a) || F_ZEROP(c->f, a->y)) |
8823192f | 102 | EC_SETINF(d); |
8823192f | 103 | else { |
104 | field *f = c->f; | |
8823192f | 105 | mp *p, *q, *m, *s, *dx, *dy, *dz; |
106 | ||
107 | p = F_SQR(f, MP_NEW, a->z); /* %$z^2$% */ | |
108 | q = F_SQR(f, MP_NEW, p); /* %$z^4$% */ | |
432c4e18 | 109 | p = F_MUL(f, p, q, c->a); /* %$A z^4$% */ |
8823192f | 110 | m = F_SQR(f, MP_NEW, a->x); /* %$x^2$% */ |
111 | m = F_TPL(f, m, m); /* %$3 x^2$% */ | |
112 | m = F_ADD(f, m, m, p); /* %$m = 3 x^2 + A z^4$% */ | |
113 | ||
114 | q = F_DBL(f, q, a->y); /* %$2 y$% */ | |
115 | dz = F_MUL(f, MP_NEW, q, a->z); /* %$z' = 2 y z$% */ | |
116 | ||
117 | p = F_SQR(f, p, q); /* %$4 y^2$% */ | |
118 | s = F_MUL(f, MP_NEW, p, a->x); /* %$s = 4 x y^2$% */ | |
119 | q = F_SQR(f, q, p); /* %$16 y^4$% */ | |
120 | q = F_HLV(f, q, q); /* %$t = 8 y^4$% */ | |
121 | ||
122 | p = F_DBL(f, p, s); /* %$2 s$% */ | |
123 | dx = F_SQR(f, MP_NEW, m); /* %$m^2$% */ | |
124 | dx = F_SUB(f, dx, dx, p); /* %$x' = m^2 - 2 s$% */ | |
125 | ||
126 | s = F_SUB(f, s, s, dx); /* %$s - x'$% */ | |
127 | dy = F_MUL(f, p, m, s); /* %$m (s - x')$% */ | |
128 | dy = F_SUB(f, dy, dy, q); /* %$y' = m (s - x') - t$% */ | |
129 | ||
130 | EC_DESTROY(d); | |
131 | d->x = dx; | |
132 | d->y = dy; | |
133 | d->z = dz; | |
134 | MP_DROP(m); | |
135 | MP_DROP(q); | |
136 | MP_DROP(s); | |
137 | } | |
138 | return (d); | |
139 | } | |
140 | ||
141 | static ec *ecprojxdbl(ec_curve *c, ec *d, const ec *a) | |
142 | { | |
1ccdb13a | 143 | if (EC_ATINF(a) || F_ZEROP(c->f, a->y)) |
8823192f | 144 | EC_SETINF(d); |
8823192f | 145 | else { |
146 | field *f = c->f; | |
147 | mp *p, *q, *m, *s, *dx, *dy, *dz; | |
148 | ||
149 | m = F_SQR(f, MP_NEW, a->z); /* %$z^2$% */ | |
150 | p = F_SUB(f, MP_NEW, a->x, m); /* %$x - z^2$% */ | |
151 | q = F_ADD(f, MP_NEW, a->x, m); /* %$x + z^2$% */ | |
152 | m = F_MUL(f, m, p, q); /* %$x^2 - z^4$% */ | |
153 | m = F_TPL(f, m, m); /* %$m = 3 x^2 - 3 z^4$% */ | |
154 | ||
155 | q = F_DBL(f, q, a->y); /* %$2 y$% */ | |
156 | dz = F_MUL(f, MP_NEW, q, a->z); /* %$z' = 2 y z$% */ | |
157 | ||
158 | p = F_SQR(f, p, q); /* %$4 y^2$% */ | |
159 | s = F_MUL(f, MP_NEW, p, a->x); /* %$s = 4 x y^2$% */ | |
160 | q = F_SQR(f, q, p); /* %$16 y^4$% */ | |
161 | q = F_HLV(f, q, q); /* %$t = 8 y^4$% */ | |
162 | ||
163 | p = F_DBL(f, p, s); /* %$2 s$% */ | |
164 | dx = F_SQR(f, MP_NEW, m); /* %$m^2$% */ | |
165 | dx = F_SUB(f, dx, dx, p); /* %$x' = m^2 - 2 s$% */ | |
166 | ||
167 | s = F_SUB(f, s, s, dx); /* %$s - x'$% */ | |
168 | dy = F_MUL(f, p, m, s); /* %$m (s - x')$% */ | |
169 | dy = F_SUB(f, dy, dy, q); /* %$y' = m (s - x') - t$% */ | |
170 | ||
171 | EC_DESTROY(d); | |
172 | d->x = dx; | |
173 | d->y = dy; | |
174 | d->z = dz; | |
175 | MP_DROP(m); | |
176 | MP_DROP(q); | |
177 | MP_DROP(s); | |
178 | } | |
179 | return (d); | |
180 | } | |
181 | ||
b085fd91 | 182 | static ec *ecadd(ec_curve *c, ec *d, const ec *a, const ec *b) |
183 | { | |
b0ab12e6 | 184 | if (a == b) |
185 | ecdbl(c, d, a); | |
186 | else if (EC_ATINF(a)) | |
187 | EC_COPY(d, b); | |
188 | else if (EC_ATINF(b)) | |
189 | EC_COPY(d, a); | |
b085fd91 | 190 | else { |
191 | field *f = c->f; | |
192 | mp *lambda; | |
193 | mp *dy, *dx; | |
194 | ||
195 | if (!MP_EQ(a->x, b->x)) { | |
8823192f | 196 | dy = F_SUB(f, MP_NEW, a->y, b->y); /* %$y_0 - y_1$% */ |
197 | dx = F_SUB(f, MP_NEW, a->x, b->x); /* %$x_0 - x_1$% */ | |
198 | dx = F_INV(f, dx, dx); /* %$(x_0 - x_1)^{-1}$% */ | |
b085fd91 | 199 | lambda = F_MUL(f, MP_NEW, dy, dx); |
8823192f | 200 | /* %$\lambda = (y_0 - y1)/(x_0 - x_1)$% */ |
201 | } else if (F_ZEROP(c->f, a->y) || !MP_EQ(a->y, b->y)) { | |
b0ab12e6 | 202 | EC_SETINF(d); |
b085fd91 | 203 | return (d); |
204 | } else { | |
8823192f | 205 | dx = F_SQR(f, MP_NEW, a->x); /* %$x_0^2$% */ |
206 | dx = F_TPL(f, dx, dx); /* %$3 x_0^2$% */ | |
432c4e18 | 207 | dx = F_ADD(f, dx, dx, c->a); /* %$3 x_0^2 + A$% */ |
8823192f | 208 | dy = F_DBL(f, MP_NEW, a->y); /* %$2 y_0$% */ |
209 | dy = F_INV(f, dy, dy); /* %$(2 y_0)^{-1}$% */ | |
41cb1beb | 210 | lambda = F_MUL(f, MP_NEW, dx, dy); |
8823192f | 211 | /* %$\lambda = (3 x_0^2 + A)/(2 y_0)$% */ |
b085fd91 | 212 | } |
213 | ||
8823192f | 214 | dx = F_SQR(f, dx, lambda); /* %$\lambda^2$% */ |
215 | dx = F_SUB(f, dx, dx, a->x); /* %$\lambda^2 - x_0$% */ | |
216 | dx = F_SUB(f, dx, dx, b->x); /* %$x' = \lambda^2 - x_0 - x_1$% */ | |
217 | dy = F_SUB(f, dy, b->x, dx); /* %$x_1 - x'$% */ | |
218 | dy = F_MUL(f, dy, lambda, dy); /* %$\lambda (x_1 - x')$% */ | |
ceb3f0c0 | 219 | dy = F_SUB(f, dy, dy, b->y); /* %$y' = \lambda (x_1 - x') - y_1$% */ |
b0ab12e6 | 220 | |
b085fd91 | 221 | EC_DESTROY(d); |
222 | d->x = dx; | |
223 | d->y = dy; | |
224 | d->z = 0; | |
225 | MP_DROP(lambda); | |
b0ab12e6 | 226 | } |
b085fd91 | 227 | return (d); |
b0ab12e6 | 228 | } |
229 | ||
8823192f | 230 | static ec *ecprojadd(ec_curve *c, ec *d, const ec *a, const ec *b) |
231 | { | |
232 | if (a == b) | |
233 | c->ops->dbl(c, d, a); | |
234 | else if (EC_ATINF(a)) | |
235 | EC_COPY(d, b); | |
236 | else if (EC_ATINF(b)) | |
237 | EC_COPY(d, a); | |
238 | else { | |
239 | field *f = c->f; | |
391faf42 | 240 | mp *p, *q, *r, *w, *u, *uu, *s, *ss, *dx, *dy, *dz; |
8823192f | 241 | |
242 | q = F_SQR(f, MP_NEW, a->z); /* %$z_0^2$% */ | |
243 | u = F_MUL(f, MP_NEW, q, b->x); /* %$u = x_1 z_0^2$% */ | |
244 | p = F_MUL(f, MP_NEW, q, b->y); /* %$y_1 z_0^2$% */ | |
245 | s = F_MUL(f, q, p, a->z); /* %$s = y_1 z_0^3$% */ | |
246 | ||
391faf42 | 247 | q = F_SQR(f, MP_NEW, b->z); /* %$z_1^2$% */ |
248 | uu = F_MUL(f, MP_NEW, q, a->x); /* %$uu = x_0 z_1^2$%*/ | |
249 | p = F_MUL(f, p, q, a->y); /* %$y_0 z_1^2$% */ | |
250 | ss = F_MUL(f, q, p, b->z); /* %$ss = y_0 z_1^3$% */ | |
251 | ||
252 | w = F_SUB(f, p, uu, u); /* %$w = uu - u$% */ | |
253 | r = F_SUB(f, MP_NEW, ss, s); /* %$r = ss - s$% */ | |
8823192f | 254 | if (F_ZEROP(f, w)) { |
ceb3f0c0 | 255 | MP_DROP(w); |
256 | MP_DROP(u); | |
257 | MP_DROP(s); | |
391faf42 | 258 | MP_DROP(uu); |
259 | MP_DROP(ss); | |
8823192f | 260 | if (F_ZEROP(f, r)) { |
8823192f | 261 | MP_DROP(r); |
8823192f | 262 | return (c->ops->dbl(c, d, a)); |
263 | } else { | |
8823192f | 264 | MP_DROP(r); |
8823192f | 265 | EC_SETINF(d); |
266 | return (d); | |
267 | } | |
268 | } | |
391faf42 | 269 | u = F_ADD(f, u, u, uu); /* %$t = uu + u$% */ |
3f19a2c1 | 270 | s = F_ADD(f, s, s, ss); /* %$m = ss + s$% */ |
8823192f | 271 | |
391faf42 | 272 | uu = F_MUL(f, uu, a->z, w); /* %$z_0 w$% */ |
273 | dz = F_MUL(f, ss, uu, b->z); /* %$z' = z_0 z_1 w$% */ | |
8823192f | 274 | |
391faf42 | 275 | p = F_SQR(f, uu, w); /* %$w^2$% */ |
8823192f | 276 | q = F_MUL(f, MP_NEW, p, u); /* %$t w^2$% */ |
277 | u = F_MUL(f, u, p, w); /* %$w^3$% */ | |
278 | p = F_MUL(f, p, u, s); /* %$m w^3$% */ | |
45c0fd36 | 279 | |
8823192f | 280 | dx = F_SQR(f, u, r); /* %$r^2$% */ |
281 | dx = F_SUB(f, dx, dx, q); /* %$x' = r^2 - t w^2$% */ | |
282 | ||
283 | s = F_DBL(f, s, dx); /* %$2 x'$% */ | |
284 | q = F_SUB(f, q, q, s); /* %$v = t w^2 - 2 x'$% */ | |
285 | dy = F_MUL(f, s, q, r); /* %$v r$% */ | |
286 | dy = F_SUB(f, dy, dy, p); /* %$v r - m w^3$% */ | |
287 | dy = F_HLV(f, dy, dy); /* %$y' = (v r - m w^3)/2$% */ | |
288 | ||
289 | EC_DESTROY(d); | |
290 | d->x = dx; | |
291 | d->y = dy; | |
292 | d->z = dz; | |
293 | MP_DROP(p); | |
294 | MP_DROP(q); | |
295 | MP_DROP(r); | |
296 | MP_DROP(w); | |
297 | } | |
298 | return (d); | |
299 | } | |
300 | ||
301 | static int eccheck(ec_curve *c, const ec *p) | |
302 | { | |
8823192f | 303 | field *f = c->f; |
34e4f738 | 304 | mp *l, *x, *r; |
8823192f | 305 | int rc; |
34e4f738 | 306 | if (EC_ATINF(p)) return (0); |
307 | l = F_SQR(f, MP_NEW, p->y); | |
308 | x = F_SQR(f, MP_NEW, p->x); | |
309 | r = F_MUL(f, MP_NEW, x, p->x); | |
432c4e18 | 310 | x = F_MUL(f, x, c->a, p->x); |
8823192f | 311 | r = F_ADD(f, r, r, x); |
432c4e18 | 312 | r = F_ADD(f, r, r, c->b); |
8823192f | 313 | rc = MP_EQ(l, r) ? 0 : -1; |
314 | mp_drop(l); | |
315 | mp_drop(x); | |
316 | mp_drop(r); | |
317 | return (rc); | |
318 | } | |
319 | ||
320 | static int ecprojcheck(ec_curve *c, const ec *p) | |
321 | { | |
322 | ec t = EC_INIT; | |
323 | int rc; | |
45c0fd36 | 324 | |
8823192f | 325 | c->ops->fix(c, &t, p); |
326 | rc = eccheck(c, &t); | |
327 | EC_DESTROY(&t); | |
328 | return (rc); | |
329 | } | |
330 | ||
6775a491 MW |
331 | static int eccompr(ec_curve *c, const ec *p) |
332 | { | |
333 | /* --- Just take the LSB of %$y$% --- | |
334 | * | |
335 | * Since @p@ is odd, either %$y$% or %$-y = p - y$% must be odd, so this | |
336 | * disambiguates. | |
337 | */ | |
338 | ||
339 | return (MP_ODDP(p->y)); | |
340 | } | |
341 | ||
41cb1beb | 342 | static void ecdestroy(ec_curve *c) |
343 | { | |
432c4e18 | 344 | MP_DROP(c->a); |
345 | MP_DROP(c->b); | |
346 | DESTROY(c); | |
41cb1beb | 347 | } |
348 | ||
349 | /* --- @ec_prime@, @ec_primeproj@ --- * | |
350 | * | |
dbfee00a | 351 | * Arguments: @field *f@ = the underlying field for this elliptic curve |
41cb1beb | 352 | * @mp *a, *b@ = the coefficients for this curve |
353 | * | |
02d7884d | 354 | * Returns: A pointer to the curve, or null. |
41cb1beb | 355 | * |
356 | * Use: Creates a curve structure for an elliptic curve defined over | |
357 | * a prime field. The @primeproj@ variant uses projective | |
358 | * coordinates, which can be a win. | |
359 | */ | |
360 | ||
361 | extern ec_curve *ec_prime(field *f, mp *a, mp *b) | |
362 | { | |
432c4e18 | 363 | ec_curve *c = CREATE(ec_curve); |
364 | c->ops = &ec_primeops; | |
365 | c->f = f; | |
366 | c->a = F_IN(f, MP_NEW, a); | |
367 | c->b = F_IN(f, MP_NEW, b); | |
368 | return (c); | |
41cb1beb | 369 | } |
370 | ||
8823192f | 371 | extern ec_curve *ec_primeproj(field *f, mp *a, mp *b) |
372 | { | |
432c4e18 | 373 | ec_curve *c = CREATE(ec_curve); |
8823192f | 374 | mp *ax; |
375 | ||
376 | ax = mp_add(MP_NEW, a, MP_THREE); | |
377 | ax = F_IN(f, ax, ax); | |
378 | if (F_ZEROP(f, ax)) | |
432c4e18 | 379 | c->ops = &ec_primeprojxops; |
8823192f | 380 | else |
432c4e18 | 381 | c->ops = &ec_primeprojops; |
8823192f | 382 | MP_DROP(ax); |
432c4e18 | 383 | c->f = f; |
384 | c->a = F_IN(f, MP_NEW, a); | |
385 | c->b = F_IN(f, MP_NEW, b); | |
386 | return (c); | |
41cb1beb | 387 | } |
388 | ||
389 | static const ec_ops ec_primeops = { | |
f94b972d | 390 | "prime", |
34e4f738 | 391 | ecdestroy, ec_stdsamep, ec_idin, ec_idout, ec_idfix, |
6775a491 | 392 | ecfind, ecneg, ecadd, ec_stdsub, ecdbl, eccheck, eccompr |
8823192f | 393 | }; |
394 | ||
395 | static const ec_ops ec_primeprojops = { | |
f94b972d | 396 | "primeproj", |
34e4f738 | 397 | ecdestroy, ec_stdsamep, ec_projin, ec_projout, ec_projfix, |
6775a491 | 398 | ecfind, ecneg, ecprojadd, ec_stdsub, ecprojdbl, ecprojcheck, eccompr |
8823192f | 399 | }; |
400 | ||
401 | static const ec_ops ec_primeprojxops = { | |
f94b972d | 402 | "primeproj", |
34e4f738 | 403 | ecdestroy, ec_stdsamep, ec_projin, ec_projout, ec_projfix, |
6775a491 | 404 | ecfind, ecneg, ecprojadd, ec_stdsub, ecprojxdbl, ecprojcheck, eccompr |
41cb1beb | 405 | }; |
406 | ||
407 | /*----- Test rig ----------------------------------------------------------*/ | |
408 | ||
409 | #ifdef TEST_RIG | |
410 | ||
411 | #define MP(x) mp_readstring(MP_NEW, #x, 0, 0) | |
412 | ||
ceb3f0c0 | 413 | int main(int argc, char *argv[]) |
41cb1beb | 414 | { |
415 | field *f; | |
416 | ec_curve *c; | |
417 | ec g = EC_INIT, d = EC_INIT; | |
418 | mp *p, *a, *b, *r; | |
ceb3f0c0 | 419 | int i, n = argc == 1 ? 1 : atoi(argv[1]); |
41cb1beb | 420 | |
dbfee00a | 421 | printf("ec-prime: "); |
422 | fflush(stdout); | |
41cb1beb | 423 | a = MP(-3); |
432c4e18 | 424 | b = MP(0xb3312fa7e23ee7e4988e056be3f82d19181d9c6efe8141120314088f5013875ac656398d8a2ed19d2a85c8edd3ec2aef); |
425 | p = MP(39402006196394479212279040100143613805079739270465446667948293404245721771496870329047266088258938001861606973112319); | |
426 | r = MP(39402006196394479212279040100143613805079739270465446667946905279627659399113263569398956308152294913554433653942642); | |
41cb1beb | 427 | |
f46efa79 | 428 | f = field_niceprime(p); |
ceb3f0c0 | 429 | c = ec_primeproj(f, a, b); |
45c0fd36 | 430 | |
432c4e18 | 431 | g.x = MP(0xaa87ca22be8b05378eb1c71ef320ad746e1d3b628ba79b9859f741e082542a385502f25dbf55296c3a545e3872760ab7); |
432 | g.y = MP(0x3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b1ce1d7e819d7a431d7c90ea0e5f); | |
41cb1beb | 433 | |
45c0fd36 | 434 | for (i = 0; i < n; i++) { |
ceb3f0c0 | 435 | ec_mul(c, &d, &g, r); |
436 | if (EC_ATINF(&d)) { | |
437 | fprintf(stderr, "zero too early\n"); | |
438 | return (1); | |
439 | } | |
440 | ec_add(c, &d, &d, &g); | |
441 | if (!EC_ATINF(&d)) { | |
442 | fprintf(stderr, "didn't reach zero\n"); | |
443 | MP_EPRINT("d.x", d.x); | |
444 | MP_EPRINT("d.y", d.y); | |
445 | return (1); | |
446 | } | |
447 | ec_destroy(&d); | |
dbfee00a | 448 | } |
41cb1beb | 449 | ec_destroy(&g); |
450 | ec_destroycurve(c); | |
451 | F_DESTROY(f); | |
dbfee00a | 452 | MP_DROP(p); MP_DROP(a); MP_DROP(b); MP_DROP(r); |
453 | assert(!mparena_count(&mparena_global)); | |
454 | printf("ok\n"); | |
41cb1beb | 455 | return (0); |
456 | } | |
457 | ||
458 | #endif | |
459 | ||
b0ab12e6 | 460 | /*----- That's all, folks -------------------------------------------------*/ |