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ceb3f0c0 | 1 | /* -*-c-*- |
ceb3f0c0 | 2 | * |
3 | * Arithmetic for elliptic curves over binary fields | |
4 | * | |
5 | * (c) 2004 Straylight/Edgeware | |
6 | */ | |
7 | ||
45c0fd36 | 8 | /*----- Licensing notice --------------------------------------------------* |
ceb3f0c0 | 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 | * |
ceb3f0c0 | 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 | * |
ceb3f0c0 | 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 | ||
ceb3f0c0 | 28 | /*----- Header files ------------------------------------------------------*/ |
29 | ||
30 | #include <mLib/sub.h> | |
31 | ||
32 | #include "ec.h" | |
f94b972d | 33 | #include "ec-guts.h" |
ceb3f0c0 | 34 | |
35 | /*----- Main code ---------------------------------------------------------*/ | |
36 | ||
37 | static const ec_ops ec_binops, ec_binprojops; | |
38 | ||
39 | static ec *ecneg(ec_curve *c, ec *d, const ec *p) | |
40 | { | |
41 | EC_COPY(d, p); | |
42 | if (d->x) | |
43 | d->y = F_ADD(c->f, d->y, d->y, d->x); | |
44 | return (d); | |
45 | } | |
46 | ||
47 | static ec *ecprojneg(ec_curve *c, ec *d, const ec *p) | |
48 | { | |
49 | EC_COPY(d, p); | |
50 | if (d->x) { | |
51 | mp *t = F_MUL(c->f, MP_NEW, d->x, d->z); | |
52 | d->y = F_ADD(c->f, d->y, d->y, t); | |
53 | MP_DROP(t); | |
54 | } | |
55 | return (d); | |
56 | } | |
57 | ||
58 | static ec *ecfind(ec_curve *c, ec *d, mp *x) | |
59 | { | |
bc985cef | 60 | field *f = c->f; |
bc985cef | 61 | mp *y, *u, *v; |
45c0fd36 | 62 | |
bc985cef | 63 | if (F_ZEROP(f, x)) |
432c4e18 | 64 | y = F_SQRT(f, MP_NEW, c->b); |
bc985cef | 65 | else { |
66 | u = F_SQR(f, MP_NEW, x); /* %$x^2$% */ | |
432c4e18 | 67 | y = F_MUL(f, MP_NEW, u, c->a); /* %$a x^2$% */ |
68 | y = F_ADD(f, y, y, c->b); /* %$a x^2 + b$% */ | |
bc985cef | 69 | v = F_MUL(f, MP_NEW, u, x); /* %$x^3$% */ |
70 | y = F_ADD(f, y, y, v); /* %$A = x^3 + a x^2 + b$% */ | |
71 | if (!F_ZEROP(f, y)) { | |
72 | u = F_INV(f, u, u); /* %$x^{-2}$% */ | |
73 | v = F_MUL(f, v, u, y); /* %$B = A x^{-2} = x + a + b x^{-2}$% */ | |
74 | y = F_QUADSOLVE(f, y, v); /* %$z^2 + z = B$% */ | |
75 | if (y) y = F_MUL(f, y, y, x); /* %$y = z x$% */ | |
5a19b5df | 76 | /* Hence %$y^2 + x y = (z^2 + z) x^2 = A$% */ |
bc985cef | 77 | } |
78 | MP_DROP(u); | |
79 | MP_DROP(v); | |
80 | } | |
81 | if (!y) return (0); | |
82 | EC_DESTROY(d); | |
83 | d->x = MP_COPY(x); | |
84 | d->y = y; | |
85 | d->z = MP_COPY(f->one); | |
86 | return (d); | |
ceb3f0c0 | 87 | } |
88 | ||
89 | static ec *ecdbl(ec_curve *c, ec *d, const ec *a) | |
90 | { | |
91 | if (EC_ATINF(a) || F_ZEROP(c->f, a->x)) | |
92 | EC_SETINF(d); | |
93 | else { | |
94 | field *f = c->f; | |
ceb3f0c0 | 95 | mp *lambda; |
96 | mp *dx, *dy; | |
97 | ||
98 | dx = F_INV(f, MP_NEW, a->x); /* %$x^{-1}$% */ | |
99 | dy = F_MUL(f, MP_NEW, dx, a->y); /* %$y/x$% */ | |
100 | lambda = F_ADD(f, dy, dy, a->x); /* %$\lambda = x + y/x$% */ | |
101 | ||
102 | dx = F_SQR(f, dx, lambda); /* %$\lambda^2$% */ | |
103 | dx = F_ADD(f, dx, dx, lambda); /* %$\lambda^2 + \lambda$% */ | |
432c4e18 | 104 | dx = F_ADD(f, dx, dx, c->a); /* %$x' = a + \lambda^2 + \lambda$% */ |
ceb3f0c0 | 105 | |
106 | dy = F_ADD(f, MP_NEW, a->x, dx); /* %$ x + x' $% */ | |
107 | dy = F_MUL(f, dy, dy, lambda); /* %$ (x + x') \lambda$% */ | |
108 | dy = F_ADD(f, dy, dy, a->y); /* %$ (x + x') \lambda + y$% */ | |
109 | dy = F_ADD(f, dy, dy, dx); /* %$ y' = (x + x') \lambda + y + x'$% */ | |
110 | ||
111 | EC_DESTROY(d); | |
112 | d->x = dx; | |
113 | d->y = dy; | |
114 | d->z = 0; | |
115 | MP_DROP(lambda); | |
116 | } | |
117 | return (d); | |
118 | } | |
119 | ||
120 | static ec *ecprojdbl(ec_curve *c, ec *d, const ec *a) | |
121 | { | |
122 | if (EC_ATINF(a) || F_ZEROP(c->f, a->x)) | |
123 | EC_SETINF(d); | |
124 | else { | |
125 | field *f = c->f; | |
f94b972d | 126 | ecctx_bin *cc = (ecctx_bin *)c; |
ceb3f0c0 | 127 | mp *dx, *dy, *dz, *u, *v; |
128 | ||
129 | dy = F_SQR(f, MP_NEW, a->z); /* %$z^2$% */ | |
130 | dx = F_MUL(f, MP_NEW, dy, cc->bb); /* %$c z^2$% */ | |
131 | dx = F_ADD(f, dx, dx, a->x); /* %$x + c z^2$% */ | |
132 | dz = F_SQR(f, MP_NEW, dx); /* %$(x + c z^2)^2$% */ | |
133 | dx = F_SQR(f, dx, dz); /* %$x' = (x + c z^2)^4$% */ | |
134 | ||
135 | dz = F_MUL(f, dz, dy, a->x); /* %$z' = x z^2$% */ | |
136 | ||
137 | dy = F_SQR(f, dy, a->x); /* %$x^2$% */ | |
138 | u = F_MUL(f, MP_NEW, a->y, a->z); /* %$y z$% */ | |
139 | u = F_ADD(f, u, u, dz); /* %$z' + y z$% */ | |
140 | u = F_ADD(f, u, u, dy); /* %$u = z' + x^2 + y z$% */ | |
141 | ||
142 | v = F_SQR(f, MP_NEW, dy); /* %$x^4$% */ | |
143 | dy = F_MUL(f, dy, v, dz); /* %$x^4 z'$% */ | |
144 | v = F_MUL(f, v, u, dx); /* %$u x'$% */ | |
145 | dy = F_ADD(f, dy, dy, v); /* %$y' = x^4 z' + u x'$% */ | |
146 | ||
147 | EC_DESTROY(d); | |
148 | d->x = dx; | |
149 | d->y = dy; | |
150 | d->z = dz; | |
151 | MP_DROP(u); | |
152 | MP_DROP(v); | |
ceb3f0c0 | 153 | } |
154 | return (d); | |
155 | } | |
156 | ||
157 | static ec *ecadd(ec_curve *c, ec *d, const ec *a, const ec *b) | |
158 | { | |
159 | if (a == b) | |
160 | ecdbl(c, d, a); | |
161 | else if (EC_ATINF(a)) | |
162 | EC_COPY(d, b); | |
163 | else if (EC_ATINF(b)) | |
164 | EC_COPY(d, a); | |
165 | else { | |
166 | field *f = c->f; | |
ceb3f0c0 | 167 | mp *lambda; |
168 | mp *dx, *dy; | |
169 | ||
170 | if (!MP_EQ(a->x, b->x)) { | |
171 | dx = F_ADD(f, MP_NEW, a->x, b->x); /* %$x_0 + x_1$% */ | |
172 | dy = F_INV(f, MP_NEW, dx); /* %$(x_0 + x_1)^{-1}$% */ | |
173 | dx = F_ADD(f, dx, a->y, b->y); /* %$y_0 + y_1$% */ | |
174 | lambda = F_MUL(f, MP_NEW, dy, dx); | |
175 | /* %$\lambda = (y_0 + y_1)/(x_0 + x_1)$% */ | |
176 | ||
177 | dx = F_SQR(f, dx, lambda); /* %$\lambda^2$% */ | |
178 | dx = F_ADD(f, dx, dx, lambda); /* %$\lambda^2 + \lambda$% */ | |
432c4e18 | 179 | dx = F_ADD(f, dx, dx, c->a); /* %$a + \lambda^2 + \lambda$% */ |
ceb3f0c0 | 180 | dx = F_ADD(f, dx, dx, a->x); /* %$a + \lambda^2 + \lambda + x_0$% */ |
181 | dx = F_ADD(f, dx, dx, b->x); | |
45c0fd36 | 182 | /* %$x' = a + \lambda^2 + \lambda + x_0 + x_1$% */ |
ceb3f0c0 | 183 | } else if (!MP_EQ(a->y, b->y) || F_ZEROP(f, a->x)) { |
184 | EC_SETINF(d); | |
185 | return (d); | |
186 | } else { | |
187 | dx = F_INV(f, MP_NEW, a->x); /* %$x^{-1}$% */ | |
188 | dy = F_MUL(f, MP_NEW, dx, a->y); /* %$y/x$% */ | |
189 | lambda = F_ADD(f, dy, dy, a->x); /* %$\lambda = x + y/x$% */ | |
190 | ||
191 | dx = F_SQR(f, dx, lambda); /* %$\lambda^2$% */ | |
192 | dx = F_ADD(f, dx, dx, lambda); /* %$\lambda^2 + \lambda$% */ | |
432c4e18 | 193 | dx = F_ADD(f, dx, dx, c->a); /* %$x' = a + \lambda^2 + \lambda$% */ |
ceb3f0c0 | 194 | dy = MP_NEW; |
195 | } | |
45c0fd36 | 196 | |
ceb3f0c0 | 197 | dy = F_ADD(f, dy, a->x, dx); /* %$ x + x' $% */ |
198 | dy = F_MUL(f, dy, dy, lambda); /* %$ (x + x') \lambda$% */ | |
199 | dy = F_ADD(f, dy, dy, a->y); /* %$ (x + x') \lambda + y$% */ | |
200 | dy = F_ADD(f, dy, dy, dx); /* %$ y' = (x + x') \lambda + y + x'$% */ | |
201 | ||
202 | EC_DESTROY(d); | |
203 | d->x = dx; | |
204 | d->y = dy; | |
205 | d->z = 0; | |
206 | MP_DROP(lambda); | |
207 | } | |
208 | return (d); | |
209 | } | |
210 | ||
211 | static ec *ecprojadd(ec_curve *c, ec *d, const ec *a, const ec *b) | |
212 | { | |
213 | if (a == b) | |
214 | c->ops->dbl(c, d, a); | |
215 | else if (EC_ATINF(a)) | |
216 | EC_COPY(d, b); | |
217 | else if (EC_ATINF(b)) | |
218 | EC_COPY(d, a); | |
219 | else { | |
220 | field *f = c->f; | |
ceb3f0c0 | 221 | mp *dx, *dy, *dz, *u, *uu, *v, *t, *s, *ss, *r, *w, *l; |
222 | ||
223 | dz = F_SQR(f, MP_NEW, b->z); /* %$z_1^2$% */ | |
224 | u = F_MUL(f, MP_NEW, dz, a->x); /* %$u_0 = x_0 z_1^2$% */ | |
225 | t = F_MUL(f, MP_NEW, dz, b->z); /* %$z_1^3$% */ | |
226 | s = F_MUL(f, MP_NEW, t, a->y); /* %$s_0 = y_0 z_1^3$% */ | |
227 | ||
228 | dz = F_SQR(f, dz, a->z); /* %$z_0^2$% */ | |
229 | uu = F_MUL(f, MP_NEW, dz, b->x); /* %$u_1 = x_1 z_0^2$% */ | |
230 | t = F_MUL(f, t, dz, a->z); /* %$z_0^3$% */ | |
231 | ss = F_MUL(f, MP_NEW, t, b->y); /* %$s_1 = y_1 z_0^3$% */ | |
232 | ||
233 | w = F_ADD(f, u, u, uu); /* %$r = u_0 + u_1$% */ | |
234 | r = F_ADD(f, s, s, ss); /* %$w = s_0 + s_1$% */ | |
235 | if (F_ZEROP(f, w)) { | |
236 | MP_DROP(w); | |
237 | MP_DROP(uu); | |
238 | MP_DROP(ss); | |
239 | MP_DROP(t); | |
240 | MP_DROP(dz); | |
241 | if (F_ZEROP(f, r)) { | |
242 | MP_DROP(r); | |
243 | return (c->ops->dbl(c, d, a)); | |
244 | } else { | |
245 | MP_DROP(r); | |
246 | EC_SETINF(d); | |
247 | return (d); | |
248 | } | |
249 | } | |
250 | ||
251 | l = F_MUL(f, t, a->z, w); /* %$l = z_0 w$% */ | |
252 | ||
253 | dz = F_MUL(f, dz, l, b->z); /* %$z' = l z_1$% */ | |
254 | ||
255 | ss = F_MUL(f, ss, r, b->x); /* %$r x_1$% */ | |
256 | t = F_MUL(f, uu, l, b->y); /* %$l y_1$% */ | |
257 | v = F_ADD(f, ss, ss, t); /* %$v = r x_1 + l y_1$% */ | |
258 | ||
259 | t = F_ADD(f, t, r, dz); /* %$t = r + z'$% */ | |
260 | ||
261 | uu = F_SQR(f, MP_NEW, dz); /* %$z'^2$% */ | |
432c4e18 | 262 | dx = F_MUL(f, MP_NEW, uu, c->a); /* %$a z'^2$% */ |
ceb3f0c0 | 263 | uu = F_MUL(f, uu, t, r); /* %$t r$% */ |
264 | dx = F_ADD(f, dx, dx, uu); /* %$a z'^2 + t r$% */ | |
265 | r = F_SQR(f, r, w); /* %$w^2$% */ | |
266 | uu = F_MUL(f, uu, r, w); /* %$w^3$% */ | |
267 | dx = F_ADD(f, dx, dx, uu); /* %$x' = a z'^2 + t r + w^3$% */ | |
268 | ||
269 | r = F_SQR(f, r, l); /* %$l^2$% */ | |
270 | dy = F_MUL(f, uu, v, r); /* %$v l^2$% */ | |
271 | l = F_MUL(f, l, t, dx); /* %$t x'$% */ | |
272 | dy = F_ADD(f, dy, dy, l); /* %$y' = t x' + v l^2$% */ | |
273 | ||
274 | EC_DESTROY(d); | |
275 | d->x = dx; | |
276 | d->y = dy; | |
277 | d->z = dz; | |
278 | MP_DROP(l); | |
279 | MP_DROP(r); | |
280 | MP_DROP(w); | |
281 | MP_DROP(t); | |
282 | MP_DROP(v); | |
283 | } | |
284 | return (d); | |
285 | } | |
286 | ||
287 | static int eccheck(ec_curve *c, const ec *p) | |
288 | { | |
ceb3f0c0 | 289 | field *f = c->f; |
290 | int rc; | |
291 | mp *u, *v; | |
292 | ||
34e4f738 | 293 | if (EC_ATINF(p)) return (0); |
ceb3f0c0 | 294 | v = F_SQR(f, MP_NEW, p->x); |
295 | u = F_MUL(f, MP_NEW, v, p->x); | |
432c4e18 | 296 | v = F_MUL(f, v, v, c->a); |
ceb3f0c0 | 297 | u = F_ADD(f, u, u, v); |
432c4e18 | 298 | u = F_ADD(f, u, u, c->b); |
ceb3f0c0 | 299 | v = F_MUL(f, v, p->x, p->y); |
300 | u = F_ADD(f, u, u, v); | |
301 | v = F_SQR(f, v, p->y); | |
302 | u = F_ADD(f, u, u, v); | |
bc985cef | 303 | rc = F_ZEROP(f, u) ? 0 : -1; |
ceb3f0c0 | 304 | mp_drop(u); |
305 | mp_drop(v); | |
306 | return (rc); | |
307 | } | |
308 | ||
309 | static int ecprojcheck(ec_curve *c, const ec *p) | |
310 | { | |
311 | ec t = EC_INIT; | |
312 | int rc; | |
45c0fd36 | 313 | |
ceb3f0c0 | 314 | c->ops->fix(c, &t, p); |
315 | rc = eccheck(c, &t); | |
316 | EC_DESTROY(&t); | |
317 | return (rc); | |
318 | } | |
319 | ||
6775a491 MW |
320 | static int eccompr(ec_curve *c, const ec *p) |
321 | { | |
322 | /* --- Take the LSB of %$y/x$%, or zero if %$x = 0$% --- | |
323 | * | |
324 | * The negative of a point has %$y' = y + x$%. Therefore either %$y/x$% or | |
325 | * $%(y + x)/x = y/x + 1$% is odd, and this disambiguates, unless %$x = | |
326 | * 0$%; but in that case we must have %$y^2 = b$% which has exactly one | |
327 | * solution (because squaring is linear in a binary field). | |
328 | */ | |
329 | ||
330 | int ybit; | |
331 | field *f = c->f; | |
332 | mp *y, *t; | |
333 | if (MP_ZEROP(p->x)) ybit = 0; | |
334 | else { | |
335 | t = F_IN(f, MP_NEW, p->x); | |
336 | y = F_IN(f, MP_NEW, p->y); | |
337 | t = F_INV(f, t, t); | |
338 | t = F_MUL(f, t, y, t); | |
339 | t = F_OUT(f, t, t); | |
340 | ybit = MP_ODDP(t); | |
341 | MP_DROP(y); MP_DROP(t); | |
342 | } | |
343 | return (ybit); | |
344 | } | |
345 | ||
ceb3f0c0 | 346 | static void ecdestroy(ec_curve *c) |
347 | { | |
f94b972d | 348 | ecctx_bin *cc = (ecctx_bin *)c; |
432c4e18 | 349 | MP_DROP(cc->c.a); |
350 | MP_DROP(cc->c.b); | |
ceb3f0c0 | 351 | if (cc->bb) MP_DROP(cc->bb); |
352 | DESTROY(cc); | |
353 | } | |
354 | ||
355 | /* --- @ec_bin@, @ec_binproj@ --- * | |
356 | * | |
357 | * Arguments: @field *f@ = the underlying field for this elliptic curve | |
358 | * @mp *a, *b@ = the coefficients for this curve | |
359 | * | |
02d7884d | 360 | * Returns: A pointer to the curve, or null. |
ceb3f0c0 | 361 | * |
362 | * Use: Creates a curve structure for an elliptic curve defined over | |
363 | * a binary field. The @binproj@ variant uses projective | |
364 | * coordinates, which can be a win. | |
365 | */ | |
366 | ||
367 | ec_curve *ec_bin(field *f, mp *a, mp *b) | |
368 | { | |
f94b972d | 369 | ecctx_bin *cc = CREATE(ecctx_bin); |
ceb3f0c0 | 370 | cc->c.ops = &ec_binops; |
371 | cc->c.f = f; | |
432c4e18 | 372 | cc->c.a = F_IN(f, MP_NEW, a); |
373 | cc->c.b = F_IN(f, MP_NEW, b); | |
ceb3f0c0 | 374 | cc->bb = 0; |
375 | return (&cc->c); | |
376 | } | |
377 | ||
378 | ec_curve *ec_binproj(field *f, mp *a, mp *b) | |
379 | { | |
f94b972d | 380 | ecctx_bin *cc = CREATE(ecctx_bin); |
fe6657c9 MW |
381 | int i; |
382 | mp *c, *d; | |
383 | ||
ceb3f0c0 | 384 | cc->c.ops = &ec_binprojops; |
385 | cc->c.f = f; | |
432c4e18 | 386 | cc->c.a = F_IN(f, MP_NEW, a); |
387 | cc->c.b = F_IN(f, MP_NEW, b); | |
fe6657c9 MW |
388 | |
389 | c = MP_COPY(cc->c.b); | |
390 | for (i = 0; i < f->nbits - 2; i++) | |
391 | c = F_SQR(f, c, c); | |
392 | d = F_SQR(f, MP_NEW, c); d = F_SQR(f, d, d); | |
393 | if (!MP_EQ(d, cc->c.b)) { | |
394 | MP_DROP(c); | |
395 | MP_DROP(d); | |
02d7884d | 396 | MP_DROP(cc->c.a); |
397 | MP_DROP(cc->c.b); | |
398 | DESTROY(cc); | |
399 | return (0); | |
400 | } | |
fe6657c9 MW |
401 | cc->bb = c; |
402 | MP_DROP(d); | |
ceb3f0c0 | 403 | return (&cc->c); |
404 | } | |
405 | ||
406 | static const ec_ops ec_binops = { | |
f94b972d | 407 | "bin", |
34e4f738 | 408 | ecdestroy, ec_stdsamep, ec_idin, ec_idout, ec_idfix, |
6775a491 | 409 | ecfind, ecneg, ecadd, ec_stdsub, ecdbl, eccheck, eccompr |
ceb3f0c0 | 410 | }; |
411 | ||
412 | static const ec_ops ec_binprojops = { | |
f94b972d | 413 | "binproj", |
34e4f738 | 414 | ecdestroy, ec_stdsamep, ec_projin, ec_projout, ec_projfix, |
6775a491 | 415 | ecfind, ecprojneg, ecprojadd, ec_stdsub, ecprojdbl, ecprojcheck, eccompr |
ceb3f0c0 | 416 | }; |
417 | ||
418 | /*----- Test rig ----------------------------------------------------------*/ | |
419 | ||
420 | #ifdef TEST_RIG | |
421 | ||
422 | #define MP(x) mp_readstring(MP_NEW, #x, 0, 0) | |
423 | ||
424 | int main(int argc, char *argv[]) | |
425 | { | |
426 | field *f; | |
427 | ec_curve *c; | |
428 | ec g = EC_INIT, d = EC_INIT; | |
4edc47b8 | 429 | mp *p, *a, *b, *r, *beta; |
ceb3f0c0 | 430 | int i, n = argc == 1 ? 1 : atoi(argv[1]); |
431 | ||
432 | printf("ec-bin: "); | |
433 | fflush(stdout); | |
4edc47b8 | 434 | a = MP(0x7ffffffffffffffffffffffffffffffffffffffff); |
435 | b = MP(0x6645f3cacf1638e139c6cd13ef61734fbc9e3d9fb); | |
436 | p = MP(0x800000000000000000000000000000000000000c9); | |
437 | beta = MP(0x715169c109c612e390d347c748342bcd3b02a0bef); | |
438 | r = MP(0x040000000000000000000292fe77e70c12a4234c32); | |
ceb3f0c0 | 439 | |
4edc47b8 | 440 | f = field_binnorm(p, beta); |
ceb3f0c0 | 441 | c = ec_binproj(f, a, b); |
4edc47b8 | 442 | g.x = MP(0x0311103c17167564ace77ccb09c681f886ba54ee8); |
443 | g.y = MP(0x333ac13c6447f2e67613bf7009daf98c87bb50c7f); | |
ceb3f0c0 | 444 | |
45c0fd36 | 445 | for (i = 0; i < n; i++) { |
ceb3f0c0 | 446 | ec_mul(c, &d, &g, r); |
447 | if (EC_ATINF(&d)) { | |
448 | fprintf(stderr, "zero too early\n"); | |
449 | return (1); | |
450 | } | |
451 | ec_add(c, &d, &d, &g); | |
452 | if (!EC_ATINF(&d)) { | |
453 | fprintf(stderr, "didn't reach zero\n"); | |
454 | MP_EPRINTX("d.x", d.x); | |
455 | MP_EPRINTX("d.y", d.y); | |
ceb3f0c0 | 456 | return (1); |
457 | } | |
458 | ec_destroy(&d); | |
459 | } | |
460 | ||
461 | ec_destroy(&g); | |
462 | ec_destroycurve(c); | |
463 | F_DESTROY(f); | |
4edc47b8 | 464 | MP_DROP(p); MP_DROP(a); MP_DROP(b); MP_DROP(r); MP_DROP(beta); |
ceb3f0c0 | 465 | assert(!mparena_count(&mparena_global)); |
466 | printf("ok\n"); | |
467 | return (0); | |
468 | } | |
469 | ||
470 | #endif | |
471 | ||
472 | /*----- That's all, folks -------------------------------------------------*/ |