1/* crypto/ec/ectest.c */
2/*
3 * Originally written by Bodo Moeller for the OpenSSL project.
4 */
5/* ====================================================================
6 * Copyright (c) 1998-2001 The OpenSSL Project.  All rights reserved.
7 *
8 * Redistribution and use in source and binary forms, with or without
9 * modification, are permitted provided that the following conditions
10 * are met:
11 *
12 * 1. Redistributions of source code must retain the above copyright
13 *    notice, this list of conditions and the following disclaimer.
14 *
15 * 2. Redistributions in binary form must reproduce the above copyright
16 *    notice, this list of conditions and the following disclaimer in
17 *    the documentation and/or other materials provided with the
18 *    distribution.
19 *
20 * 3. All advertising materials mentioning features or use of this
21 *    software must display the following acknowledgment:
22 *    "This product includes software developed by the OpenSSL Project
23 *    for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
24 *
25 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
26 *    endorse or promote products derived from this software without
27 *    prior written permission. For written permission, please contact
28 *    openssl-core@openssl.org.
29 *
30 * 5. Products derived from this software may not be called "OpenSSL"
31 *    nor may "OpenSSL" appear in their names without prior written
32 *    permission of the OpenSSL Project.
33 *
34 * 6. Redistributions of any form whatsoever must retain the following
35 *    acknowledgment:
36 *    "This product includes software developed by the OpenSSL Project
37 *    for use in the OpenSSL Toolkit (http://www.openssl.org/)"
38 *
39 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
40 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
41 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
42 * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE OpenSSL PROJECT OR
43 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
44 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
45 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
46 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
47 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
48 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
49 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
50 * OF THE POSSIBILITY OF SUCH DAMAGE.
51 * ====================================================================
52 *
53 * This product includes cryptographic software written by Eric Young
54 * (eay@cryptsoft.com).  This product includes software written by Tim
55 * Hudson (tjh@cryptsoft.com).
56 *
57 */
58/* ====================================================================
59 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
60 *
61 * Portions of the attached software ("Contribution") are developed by
62 * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
63 *
64 * The Contribution is licensed pursuant to the OpenSSL open source
65 * license provided above.
66 *
67 * The elliptic curve binary polynomial software is originally written by
68 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
69 *
70 */
71
72#include <stdio.h>
73#include <stdlib.h>
74#ifdef FLAT_INC
75#include "e_os.h"
76#else
77#include "../e_os.h"
78#endif
79#include <string.h>
80#include <time.h>
81
82
83#ifdef OPENSSL_NO_EC
84int main(int argc, char * argv[]) { puts("Elliptic curves are disabled."); return 0; }
85#else
86
87
88#include <openssl/ec.h>
89#ifndef OPENSSL_NO_ENGINE
90#include <openssl/engine.h>
91#endif
92#include <openssl/err.h>
93#include <openssl/obj_mac.h>
94#include <openssl/objects.h>
95#include <openssl/rand.h>
96#include <openssl/bn.h>
97#include <openssl/opensslconf.h>
98
99#if defined(_MSC_VER) && defined(_MIPS_) && (_MSC_VER/100==12)
100/* suppress "too big too optimize" warning */
101#pragma warning(disable:4959)
102#endif
103
104#define ABORT do { \
105	fflush(stdout); \
106	fprintf(stderr, "%s:%d: ABORT\n", __FILE__, __LINE__); \
107	ERR_print_errors_fp(stderr); \
108	EXIT(1); \
109} while (0)
110
111#define TIMING_BASE_PT 0
112#define TIMING_RAND_PT 1
113#define TIMING_SIMUL 2
114
115#if 0
116static void timings(EC_GROUP *group, int type, BN_CTX *ctx)
117	{
118	clock_t clck;
119	int i, j;
120	BIGNUM *s;
121	BIGNUM *r[10], *r0[10];
122	EC_POINT *P;
123
124	s = BN_new();
125	if (s == NULL) ABORT;
126
127	fprintf(stdout, "Timings for %d-bit field, ", EC_GROUP_get_degree(group));
128	if (!EC_GROUP_get_order(group, s, ctx)) ABORT;
129	fprintf(stdout, "%d-bit scalars ", (int)BN_num_bits(s));
130	fflush(stdout);
131
132	P = EC_POINT_new(group);
133	if (P == NULL) ABORT;
134	EC_POINT_copy(P, EC_GROUP_get0_generator(group));
135
136	for (i = 0; i < 10; i++)
137		{
138		if ((r[i] = BN_new()) == NULL) ABORT;
139		if (!BN_pseudo_rand(r[i], BN_num_bits(s), 0, 0)) ABORT;
140		if (type != TIMING_BASE_PT)
141			{
142			if ((r0[i] = BN_new()) == NULL) ABORT;
143			if (!BN_pseudo_rand(r0[i], BN_num_bits(s), 0, 0)) ABORT;
144			}
145		}
146
147	clck = clock();
148	for (i = 0; i < 10; i++)
149		{
150		for (j = 0; j < 10; j++)
151			{
152			if (!EC_POINT_mul(group, P, (type != TIMING_RAND_PT) ? r[i] : NULL,
153				(type != TIMING_BASE_PT) ? P : NULL, (type != TIMING_BASE_PT) ? r0[i] : NULL, ctx)) ABORT;
154			}
155		}
156	clck = clock() - clck;
157
158	fprintf(stdout, "\n");
159
160#ifdef CLOCKS_PER_SEC
161	/* "To determine the time in seconds, the value returned
162	 * by the clock function should be divided by the value
163	 * of the macro CLOCKS_PER_SEC."
164	 *                                       -- ISO/IEC 9899 */
165#	define UNIT "s"
166#else
167	/* "`CLOCKS_PER_SEC' undeclared (first use this function)"
168	 *                            -- cc on NeXTstep/OpenStep */
169#	define UNIT "units"
170#	define CLOCKS_PER_SEC 1
171#endif
172
173	if (type == TIMING_BASE_PT) {
174		fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j,
175			"base point multiplications", (double)clck/CLOCKS_PER_SEC);
176	} else if (type == TIMING_RAND_PT) {
177		fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j,
178			"random point multiplications", (double)clck/CLOCKS_PER_SEC);
179	} else if (type == TIMING_SIMUL) {
180		fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j,
181			"s*P+t*Q operations", (double)clck/CLOCKS_PER_SEC);
182	}
183	fprintf(stdout, "average: %.4f " UNIT "\n", (double)clck/(CLOCKS_PER_SEC*i*j));
184
185	EC_POINT_free(P);
186	BN_free(s);
187	for (i = 0; i < 10; i++)
188		{
189		BN_free(r[i]);
190		if (type != TIMING_BASE_PT) BN_free(r0[i]);
191		}
192	}
193#endif
194
195/* test multiplication with group order, long and negative scalars */
196static void group_order_tests(EC_GROUP *group)
197	{
198	BIGNUM *n1, *n2, *order;
199	EC_POINT *P = EC_POINT_new(group);
200	EC_POINT *Q = EC_POINT_new(group);
201	BN_CTX *ctx = BN_CTX_new();
202
203	n1 = BN_new(); n2 = BN_new(); order = BN_new();
204	fprintf(stdout, "verify group order ...");
205	fflush(stdout);
206	if (!EC_GROUP_get_order(group, order, ctx)) ABORT;
207	if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) ABORT;
208	if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
209	fprintf(stdout, ".");
210	fflush(stdout);
211	if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
212	if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) ABORT;
213	if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
214	fprintf(stdout, " ok\n");
215	fprintf(stdout, "long/negative scalar tests ... ");
216	if (!BN_one(n1)) ABORT;
217	/* n1 = 1 - order */
218	if (!BN_sub(n1, n1, order)) ABORT;
219	if(!EC_POINT_mul(group, Q, NULL, P, n1, ctx)) ABORT;
220	if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT;
221	/* n2 = 1 + order */
222	if (!BN_add(n2, order, BN_value_one())) ABORT;
223	if(!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) ABORT;
224	if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT;
225	/* n2 = (1 - order) * (1 + order) */
226	if (!BN_mul(n2, n1, n2, ctx)) ABORT;
227	if(!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) ABORT;
228	if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT;
229	fprintf(stdout, "ok\n");
230	EC_POINT_free(P);
231	EC_POINT_free(Q);
232	BN_free(n1);
233	BN_free(n2);
234	BN_free(order);
235	BN_CTX_free(ctx);
236	}
237
238static void prime_field_tests(void)
239	{
240	BN_CTX *ctx = NULL;
241	BIGNUM *p, *a, *b;
242	EC_GROUP *group;
243	EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, *P_256 = NULL, *P_384 = NULL, *P_521 = NULL;
244	EC_POINT *P, *Q, *R;
245	BIGNUM *x, *y, *z;
246	unsigned char buf[100];
247	size_t i, len;
248	int k;
249
250#if 1 /* optional */
251	ctx = BN_CTX_new();
252	if (!ctx) ABORT;
253#endif
254
255	p = BN_new();
256	a = BN_new();
257	b = BN_new();
258	if (!p || !a || !b) ABORT;
259
260	if (!BN_hex2bn(&p, "17")) ABORT;
261	if (!BN_hex2bn(&a, "1")) ABORT;
262	if (!BN_hex2bn(&b, "1")) ABORT;
263
264	group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use EC_GROUP_new_curve_GFp
265	                                             * so that the library gets to choose the EC_METHOD */
266	if (!group) ABORT;
267
268	if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
269
270	{
271		EC_GROUP *tmp;
272		tmp = EC_GROUP_new(EC_GROUP_method_of(group));
273		if (!tmp) ABORT;
274		if (!EC_GROUP_copy(tmp, group)) ABORT;
275		EC_GROUP_free(group);
276		group = tmp;
277	}
278
279	if (!EC_GROUP_get_curve_GFp(group, p, a, b, ctx)) ABORT;
280
281	fprintf(stdout, "Curve defined by Weierstrass equation\n     y^2 = x^3 + a*x + b  (mod 0x");
282	BN_print_fp(stdout, p);
283	fprintf(stdout, ")\n     a = 0x");
284	BN_print_fp(stdout, a);
285	fprintf(stdout, "\n     b = 0x");
286	BN_print_fp(stdout, b);
287	fprintf(stdout, "\n");
288
289	P = EC_POINT_new(group);
290	Q = EC_POINT_new(group);
291	R = EC_POINT_new(group);
292	if (!P || !Q || !R) ABORT;
293
294	if (!EC_POINT_set_to_infinity(group, P)) ABORT;
295	if (!EC_POINT_is_at_infinity(group, P)) ABORT;
296
297	buf[0] = 0;
298	if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT;
299
300	if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
301	if (!EC_POINT_is_at_infinity(group, P)) ABORT;
302
303	x = BN_new();
304	y = BN_new();
305	z = BN_new();
306	if (!x || !y || !z) ABORT;
307
308	if (!BN_hex2bn(&x, "D")) ABORT;
309	if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx)) ABORT;
310	if (!EC_POINT_is_on_curve(group, Q, ctx))
311		{
312		if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx)) ABORT;
313		fprintf(stderr, "Point is not on curve: x = 0x");
314		BN_print_fp(stderr, x);
315		fprintf(stderr, ", y = 0x");
316		BN_print_fp(stderr, y);
317		fprintf(stderr, "\n");
318		ABORT;
319		}
320
321	fprintf(stdout, "A cyclic subgroup:\n");
322	k = 100;
323	do
324		{
325		if (k-- == 0) ABORT;
326
327		if (EC_POINT_is_at_infinity(group, P))
328			fprintf(stdout, "     point at infinity\n");
329		else
330			{
331			if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
332
333			fprintf(stdout, "     x = 0x");
334			BN_print_fp(stdout, x);
335			fprintf(stdout, ", y = 0x");
336			BN_print_fp(stdout, y);
337			fprintf(stdout, "\n");
338			}
339
340		if (!EC_POINT_copy(R, P)) ABORT;
341		if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
342
343#if 0 /* optional */
344		{
345			EC_POINT *points[3];
346
347			points[0] = R;
348			points[1] = Q;
349			points[2] = P;
350			if (!EC_POINTs_make_affine(group, 2, points, ctx)) ABORT;
351		}
352#endif
353
354		}
355	while (!EC_POINT_is_at_infinity(group, P));
356
357	if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT;
358	if (!EC_POINT_is_at_infinity(group, P)) ABORT;
359
360	len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx);
361	if (len == 0) ABORT;
362	if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
363	if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
364	fprintf(stdout, "Generator as octet string, compressed form:\n     ");
365	for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
366
367	len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx);
368	if (len == 0) ABORT;
369	if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
370	if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
371	fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n     ");
372	for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
373
374	len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx);
375	if (len == 0) ABORT;
376	if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
377	if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
378	fprintf(stdout, "\nGenerator as octet string, hybrid form:\n     ");
379	for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
380
381	if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx)) ABORT;
382	fprintf(stdout, "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n     X = 0x");
383	BN_print_fp(stdout, x);
384	fprintf(stdout, ", Y = 0x");
385	BN_print_fp(stdout, y);
386	fprintf(stdout, ", Z = 0x");
387	BN_print_fp(stdout, z);
388	fprintf(stdout, "\n");
389
390	if (!EC_POINT_invert(group, P, ctx)) ABORT;
391	if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
392
393
394	/* Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2, 2000)
395	 * -- not a NIST curve, but commonly used */
396
397	if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF")) ABORT;
398	if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
399	if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC")) ABORT;
400	if (!BN_hex2bn(&b, "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45")) ABORT;
401	if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
402
403	if (!BN_hex2bn(&x, "4A96B5688EF573284664698968C38BB913CBFC82")) ABORT;
404	if (!BN_hex2bn(&y, "23a628553168947d59dcc912042351377ac5fb32")) ABORT;
405	if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
406	if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
407	if (!BN_hex2bn(&z, "0100000000000000000001F4C8F927AED3CA752257")) ABORT;
408	if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
409
410	if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
411	fprintf(stdout, "\nSEC2 curve secp160r1 -- Generator:\n     x = 0x");
412	BN_print_fp(stdout, x);
413	fprintf(stdout, "\n     y = 0x");
414	BN_print_fp(stdout, y);
415	fprintf(stdout, "\n");
416	/* G_y value taken from the standard: */
417	if (!BN_hex2bn(&z, "23a628553168947d59dcc912042351377ac5fb32")) ABORT;
418	if (0 != BN_cmp(y, z)) ABORT;
419
420	fprintf(stdout, "verify degree ...");
421	if (EC_GROUP_get_degree(group) != 160) ABORT;
422	fprintf(stdout, " ok\n");
423
424	group_order_tests(group);
425
426	if (!(P_160 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
427	if (!EC_GROUP_copy(P_160, group)) ABORT;
428
429
430	/* Curve P-192 (FIPS PUB 186-2, App. 6) */
431
432	if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF")) ABORT;
433	if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
434	if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC")) ABORT;
435	if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1")) ABORT;
436	if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
437
438	if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012")) ABORT;
439	if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
440	if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
441	if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831")) ABORT;
442	if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
443
444	if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
445	fprintf(stdout, "\nNIST curve P-192 -- Generator:\n     x = 0x");
446	BN_print_fp(stdout, x);
447	fprintf(stdout, "\n     y = 0x");
448	BN_print_fp(stdout, y);
449	fprintf(stdout, "\n");
450	/* G_y value taken from the standard: */
451	if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811")) ABORT;
452	if (0 != BN_cmp(y, z)) ABORT;
453
454	fprintf(stdout, "verify degree ...");
455	if (EC_GROUP_get_degree(group) != 192) ABORT;
456	fprintf(stdout, " ok\n");
457
458	group_order_tests(group);
459
460	if (!(P_192 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
461	if (!EC_GROUP_copy(P_192, group)) ABORT;
462
463
464	/* Curve P-224 (FIPS PUB 186-2, App. 6) */
465
466	if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001")) ABORT;
467	if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
468	if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE")) ABORT;
469	if (!BN_hex2bn(&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4")) ABORT;
470	if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
471
472	if (!BN_hex2bn(&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21")) ABORT;
473	if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT;
474	if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
475	if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D")) ABORT;
476	if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
477
478	if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
479	fprintf(stdout, "\nNIST curve P-224 -- Generator:\n     x = 0x");
480	BN_print_fp(stdout, x);
481	fprintf(stdout, "\n     y = 0x");
482	BN_print_fp(stdout, y);
483	fprintf(stdout, "\n");
484	/* G_y value taken from the standard: */
485	if (!BN_hex2bn(&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34")) ABORT;
486	if (0 != BN_cmp(y, z)) ABORT;
487
488	fprintf(stdout, "verify degree ...");
489	if (EC_GROUP_get_degree(group) != 224) ABORT;
490	fprintf(stdout, " ok\n");
491
492	group_order_tests(group);
493
494	if (!(P_224 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
495	if (!EC_GROUP_copy(P_224, group)) ABORT;
496
497
498	/* Curve P-256 (FIPS PUB 186-2, App. 6) */
499
500	if (!BN_hex2bn(&p, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF")) ABORT;
501	if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
502	if (!BN_hex2bn(&a, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC")) ABORT;
503	if (!BN_hex2bn(&b, "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B")) ABORT;
504	if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
505
506	if (!BN_hex2bn(&x, "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296")) ABORT;
507	if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
508	if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
509	if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E"
510		"84F3B9CAC2FC632551")) ABORT;
511	if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
512
513	if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
514	fprintf(stdout, "\nNIST curve P-256 -- Generator:\n     x = 0x");
515	BN_print_fp(stdout, x);
516	fprintf(stdout, "\n     y = 0x");
517	BN_print_fp(stdout, y);
518	fprintf(stdout, "\n");
519	/* G_y value taken from the standard: */
520	if (!BN_hex2bn(&z, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5")) ABORT;
521	if (0 != BN_cmp(y, z)) ABORT;
522
523	fprintf(stdout, "verify degree ...");
524	if (EC_GROUP_get_degree(group) != 256) ABORT;
525	fprintf(stdout, " ok\n");
526
527	group_order_tests(group);
528
529	if (!(P_256 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
530	if (!EC_GROUP_copy(P_256, group)) ABORT;
531
532
533	/* Curve P-384 (FIPS PUB 186-2, App. 6) */
534
535	if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
536		"FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF")) ABORT;
537	if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
538	if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
539		"FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC")) ABORT;
540	if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141"
541		"120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF")) ABORT;
542	if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
543
544	if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B"
545		"9859F741E082542A385502F25DBF55296C3A545E3872760AB7")) ABORT;
546	if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
547	if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
548	if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
549		"FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973")) ABORT;
550	if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
551
552	if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
553	fprintf(stdout, "\nNIST curve P-384 -- Generator:\n     x = 0x");
554	BN_print_fp(stdout, x);
555	fprintf(stdout, "\n     y = 0x");
556	BN_print_fp(stdout, y);
557	fprintf(stdout, "\n");
558	/* G_y value taken from the standard: */
559	if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14"
560		"7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F")) ABORT;
561	if (0 != BN_cmp(y, z)) ABORT;
562
563	fprintf(stdout, "verify degree ...");
564	if (EC_GROUP_get_degree(group) != 384) ABORT;
565	fprintf(stdout, " ok\n");
566
567	group_order_tests(group);
568
569	if (!(P_384 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
570	if (!EC_GROUP_copy(P_384, group)) ABORT;
571
572
573	/* Curve P-521 (FIPS PUB 186-2, App. 6) */
574
575	if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
576		"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
577		"FFFFFFFFFFFFFFFFFFFFFFFFFFFF")) ABORT;
578	if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
579	if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
580		"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
581		"FFFFFFFFFFFFFFFFFFFFFFFFFFFC")) ABORT;
582	if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B"
583		"315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573"
584		"DF883D2C34F1EF451FD46B503F00")) ABORT;
585	if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
586
587	if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F"
588		"B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B"
589		"3C1856A429BF97E7E31C2E5BD66")) ABORT;
590	if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT;
591	if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
592	if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
593		"FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5"
594		"C9B8899C47AEBB6FB71E91386409")) ABORT;
595	if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
596
597	if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
598	fprintf(stdout, "\nNIST curve P-521 -- Generator:\n     x = 0x");
599	BN_print_fp(stdout, x);
600	fprintf(stdout, "\n     y = 0x");
601	BN_print_fp(stdout, y);
602	fprintf(stdout, "\n");
603	/* G_y value taken from the standard: */
604	if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579"
605		"B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C"
606		"7086A272C24088BE94769FD16650")) ABORT;
607	if (0 != BN_cmp(y, z)) ABORT;
608
609	fprintf(stdout, "verify degree ...");
610	if (EC_GROUP_get_degree(group) != 521) ABORT;
611	fprintf(stdout, " ok\n");
612
613 	group_order_tests(group);
614
615	if (!(P_521 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
616	if (!EC_GROUP_copy(P_521, group)) ABORT;
617
618
619	/* more tests using the last curve */
620
621	if (!EC_POINT_copy(Q, P)) ABORT;
622	if (EC_POINT_is_at_infinity(group, Q)) ABORT;
623	if (!EC_POINT_dbl(group, P, P, ctx)) ABORT;
624	if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
625	if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */
626
627	if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT;
628	if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT;
629	if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */
630
631	{
632		const EC_POINT *points[4];
633		const BIGNUM *scalars[4];
634		BIGNUM scalar3;
635
636		if (EC_POINT_is_at_infinity(group, Q)) ABORT;
637		points[0] = Q;
638		points[1] = Q;
639		points[2] = Q;
640		points[3] = Q;
641
642		if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
643		if (!BN_add(y, z, BN_value_one())) ABORT;
644		if (BN_is_odd(y)) ABORT;
645		if (!BN_rshift1(y, y)) ABORT;
646		scalars[0] = y; /* (group order + 1)/2,  so  y*Q + y*Q = Q */
647		scalars[1] = y;
648
649		fprintf(stdout, "combined multiplication ...");
650		fflush(stdout);
651
652		/* z is still the group order */
653		if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
654		if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT;
655		if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
656		if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT;
657
658		fprintf(stdout, ".");
659		fflush(stdout);
660
661		if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT;
662		if (!BN_add(z, z, y)) ABORT;
663		BN_set_negative(z, 1);
664		scalars[0] = y;
665		scalars[1] = z; /* z = -(order + y) */
666
667		if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
668		if (!EC_POINT_is_at_infinity(group, P)) ABORT;
669
670		fprintf(stdout, ".");
671		fflush(stdout);
672
673		if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT;
674		if (!BN_add(z, x, y)) ABORT;
675		BN_set_negative(z, 1);
676		scalars[0] = x;
677		scalars[1] = y;
678		scalars[2] = z; /* z = -(x+y) */
679
680		BN_init(&scalar3);
681		BN_zero(&scalar3);
682		scalars[3] = &scalar3;
683
684		if (!EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx)) ABORT;
685		if (!EC_POINT_is_at_infinity(group, P)) ABORT;
686
687		fprintf(stdout, " ok\n\n");
688
689		BN_free(&scalar3);
690	}
691
692
693#if 0
694	timings(P_160, TIMING_BASE_PT, ctx);
695	timings(P_160, TIMING_RAND_PT, ctx);
696	timings(P_160, TIMING_SIMUL, ctx);
697	timings(P_192, TIMING_BASE_PT, ctx);
698	timings(P_192, TIMING_RAND_PT, ctx);
699	timings(P_192, TIMING_SIMUL, ctx);
700	timings(P_224, TIMING_BASE_PT, ctx);
701	timings(P_224, TIMING_RAND_PT, ctx);
702	timings(P_224, TIMING_SIMUL, ctx);
703	timings(P_256, TIMING_BASE_PT, ctx);
704	timings(P_256, TIMING_RAND_PT, ctx);
705	timings(P_256, TIMING_SIMUL, ctx);
706	timings(P_384, TIMING_BASE_PT, ctx);
707	timings(P_384, TIMING_RAND_PT, ctx);
708	timings(P_384, TIMING_SIMUL, ctx);
709	timings(P_521, TIMING_BASE_PT, ctx);
710	timings(P_521, TIMING_RAND_PT, ctx);
711	timings(P_521, TIMING_SIMUL, ctx);
712#endif
713
714
715	if (ctx)
716		BN_CTX_free(ctx);
717	BN_free(p); BN_free(a);	BN_free(b);
718	EC_GROUP_free(group);
719	EC_POINT_free(P);
720	EC_POINT_free(Q);
721	EC_POINT_free(R);
722	BN_free(x); BN_free(y); BN_free(z);
723
724	if (P_160) EC_GROUP_free(P_160);
725	if (P_192) EC_GROUP_free(P_192);
726	if (P_224) EC_GROUP_free(P_224);
727	if (P_256) EC_GROUP_free(P_256);
728	if (P_384) EC_GROUP_free(P_384);
729	if (P_521) EC_GROUP_free(P_521);
730
731	}
732
733/* Change test based on whether binary point compression is enabled or not. */
734#ifdef OPENSSL_EC_BIN_PT_COMP
735#define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
736	if (!BN_hex2bn(&x, _x)) ABORT; \
737	if (!EC_POINT_set_compressed_coordinates_GF2m(group, P, x, _y_bit, ctx)) ABORT; \
738	if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \
739	if (!BN_hex2bn(&z, _order)) ABORT; \
740	if (!BN_hex2bn(&cof, _cof)) ABORT; \
741	if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
742	if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
743	fprintf(stdout, "\n%s -- Generator:\n     x = 0x", _name); \
744	BN_print_fp(stdout, x); \
745	fprintf(stdout, "\n     y = 0x"); \
746	BN_print_fp(stdout, y); \
747	fprintf(stdout, "\n"); \
748	/* G_y value taken from the standard: */ \
749	if (!BN_hex2bn(&z, _y)) ABORT; \
750	if (0 != BN_cmp(y, z)) ABORT;
751#else
752#define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
753	if (!BN_hex2bn(&x, _x)) ABORT; \
754	if (!BN_hex2bn(&y, _y)) ABORT; \
755	if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
756	if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \
757	if (!BN_hex2bn(&z, _order)) ABORT; \
758	if (!BN_hex2bn(&cof, _cof)) ABORT; \
759	if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
760	fprintf(stdout, "\n%s -- Generator:\n     x = 0x", _name); \
761	BN_print_fp(stdout, x); \
762	fprintf(stdout, "\n     y = 0x"); \
763	BN_print_fp(stdout, y); \
764	fprintf(stdout, "\n");
765#endif
766
767#define CHAR2_CURVE_TEST(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
768	if (!BN_hex2bn(&p, _p)) ABORT; \
769	if (!BN_hex2bn(&a, _a)) ABORT; \
770	if (!BN_hex2bn(&b, _b)) ABORT; \
771	if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; \
772	CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
773	fprintf(stdout, "verify degree ..."); \
774	if (EC_GROUP_get_degree(group) != _degree) ABORT; \
775	fprintf(stdout, " ok\n"); \
776	group_order_tests(group); \
777	if (!(_variable = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; \
778	if (!EC_GROUP_copy(_variable, group)) ABORT; \
779
780#ifndef OPENSSL_NO_EC2M
781
782static void char2_field_tests(void)
783	{
784	BN_CTX *ctx = NULL;
785	BIGNUM *p, *a, *b;
786	EC_GROUP *group;
787	EC_GROUP *C2_K163 = NULL, *C2_K233 = NULL, *C2_K283 = NULL, *C2_K409 = NULL, *C2_K571 = NULL;
788	EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 = NULL, *C2_B571 = NULL;
789	EC_POINT *P, *Q, *R;
790	BIGNUM *x, *y, *z, *cof;
791	unsigned char buf[100];
792	size_t i, len;
793	int k;
794
795#if 1 /* optional */
796	ctx = BN_CTX_new();
797	if (!ctx) ABORT;
798#endif
799
800	p = BN_new();
801	a = BN_new();
802	b = BN_new();
803	if (!p || !a || !b) ABORT;
804
805	if (!BN_hex2bn(&p, "13")) ABORT;
806	if (!BN_hex2bn(&a, "3")) ABORT;
807	if (!BN_hex2bn(&b, "1")) ABORT;
808
809	group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use EC_GROUP_new_curve_GF2m
810	                                                * so that the library gets to choose the EC_METHOD */
811	if (!group) ABORT;
812	if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT;
813
814	{
815		EC_GROUP *tmp;
816		tmp = EC_GROUP_new(EC_GROUP_method_of(group));
817		if (!tmp) ABORT;
818		if (!EC_GROUP_copy(tmp, group)) ABORT;
819		EC_GROUP_free(group);
820		group = tmp;
821	}
822
823	if (!EC_GROUP_get_curve_GF2m(group, p, a, b, ctx)) ABORT;
824
825	fprintf(stdout, "Curve defined by Weierstrass equation\n     y^2 + x*y = x^3 + a*x^2 + b  (mod 0x");
826	BN_print_fp(stdout, p);
827	fprintf(stdout, ")\n     a = 0x");
828	BN_print_fp(stdout, a);
829	fprintf(stdout, "\n     b = 0x");
830	BN_print_fp(stdout, b);
831	fprintf(stdout, "\n(0x... means binary polynomial)\n");
832
833	P = EC_POINT_new(group);
834	Q = EC_POINT_new(group);
835	R = EC_POINT_new(group);
836	if (!P || !Q || !R) ABORT;
837
838	if (!EC_POINT_set_to_infinity(group, P)) ABORT;
839	if (!EC_POINT_is_at_infinity(group, P)) ABORT;
840
841	buf[0] = 0;
842	if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT;
843
844	if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
845	if (!EC_POINT_is_at_infinity(group, P)) ABORT;
846
847	x = BN_new();
848	y = BN_new();
849	z = BN_new();
850	cof = BN_new();
851	if (!x || !y || !z || !cof) ABORT;
852
853	if (!BN_hex2bn(&x, "6")) ABORT;
854/* Change test based on whether binary point compression is enabled or not. */
855#ifdef OPENSSL_EC_BIN_PT_COMP
856	if (!EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, ctx)) ABORT;
857#else
858	if (!BN_hex2bn(&y, "8")) ABORT;
859	if (!EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT;
860#endif
861	if (!EC_POINT_is_on_curve(group, Q, ctx))
862		{
863/* Change test based on whether binary point compression is enabled or not. */
864#ifdef OPENSSL_EC_BIN_PT_COMP
865		if (!EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT;
866#endif
867		fprintf(stderr, "Point is not on curve: x = 0x");
868		BN_print_fp(stderr, x);
869		fprintf(stderr, ", y = 0x");
870		BN_print_fp(stderr, y);
871		fprintf(stderr, "\n");
872		ABORT;
873		}
874
875	fprintf(stdout, "A cyclic subgroup:\n");
876	k = 100;
877	do
878		{
879		if (k-- == 0) ABORT;
880
881		if (EC_POINT_is_at_infinity(group, P))
882			fprintf(stdout, "     point at infinity\n");
883		else
884			{
885			if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT;
886
887			fprintf(stdout, "     x = 0x");
888			BN_print_fp(stdout, x);
889			fprintf(stdout, ", y = 0x");
890			BN_print_fp(stdout, y);
891			fprintf(stdout, "\n");
892			}
893
894		if (!EC_POINT_copy(R, P)) ABORT;
895		if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
896		}
897	while (!EC_POINT_is_at_infinity(group, P));
898
899	if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT;
900	if (!EC_POINT_is_at_infinity(group, P)) ABORT;
901
902/* Change test based on whether binary point compression is enabled or not. */
903#ifdef OPENSSL_EC_BIN_PT_COMP
904	len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx);
905	if (len == 0) ABORT;
906	if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
907	if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
908	fprintf(stdout, "Generator as octet string, compressed form:\n     ");
909	for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
910#endif
911
912	len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx);
913	if (len == 0) ABORT;
914	if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
915	if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
916	fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n     ");
917	for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
918
919/* Change test based on whether binary point compression is enabled or not. */
920#ifdef OPENSSL_EC_BIN_PT_COMP
921	len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx);
922	if (len == 0) ABORT;
923	if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
924	if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
925	fprintf(stdout, "\nGenerator as octet string, hybrid form:\n     ");
926	for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
927#endif
928
929	fprintf(stdout, "\n");
930
931	if (!EC_POINT_invert(group, P, ctx)) ABORT;
932	if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
933
934
935	/* Curve K-163 (FIPS PUB 186-2, App. 6) */
936	CHAR2_CURVE_TEST
937		(
938		"NIST curve K-163",
939		"0800000000000000000000000000000000000000C9",
940		"1",
941		"1",
942		"02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8",
943		"0289070FB05D38FF58321F2E800536D538CCDAA3D9",
944		1,
945		"04000000000000000000020108A2E0CC0D99F8A5EF",
946		"2",
947		163,
948		C2_K163
949		);
950
951	/* Curve B-163 (FIPS PUB 186-2, App. 6) */
952	CHAR2_CURVE_TEST
953		(
954		"NIST curve B-163",
955		"0800000000000000000000000000000000000000C9",
956		"1",
957		"020A601907B8C953CA1481EB10512F78744A3205FD",
958		"03F0EBA16286A2D57EA0991168D4994637E8343E36",
959		"00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
960		1,
961		"040000000000000000000292FE77E70C12A4234C33",
962		"2",
963		163,
964		C2_B163
965		);
966
967	/* Curve K-233 (FIPS PUB 186-2, App. 6) */
968	CHAR2_CURVE_TEST
969		(
970		"NIST curve K-233",
971		"020000000000000000000000000000000000000004000000000000000001",
972		"0",
973		"1",
974		"017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126",
975		"01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
976		0,
977		"008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
978		"4",
979		233,
980		C2_K233
981		);
982
983	/* Curve B-233 (FIPS PUB 186-2, App. 6) */
984	CHAR2_CURVE_TEST
985		(
986		"NIST curve B-233",
987		"020000000000000000000000000000000000000004000000000000000001",
988		"000000000000000000000000000000000000000000000000000000000001",
989		"0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
990		"00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B",
991		"01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
992		1,
993		"01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
994		"2",
995		233,
996		C2_B233
997		);
998
999	/* Curve K-283 (FIPS PUB 186-2, App. 6) */
1000	CHAR2_CURVE_TEST
1001		(
1002		"NIST curve K-283",
1003		"0800000000000000000000000000000000000000000000000000000000000000000010A1",
1004		"0",
1005		"1",
1006		"0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836",
1007		"01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
1008		0,
1009		"01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
1010		"4",
1011		283,
1012		C2_K283
1013		);
1014
1015	/* Curve B-283 (FIPS PUB 186-2, App. 6) */
1016	CHAR2_CURVE_TEST
1017		(
1018		"NIST curve B-283",
1019		"0800000000000000000000000000000000000000000000000000000000000000000010A1",
1020		"000000000000000000000000000000000000000000000000000000000000000000000001",
1021		"027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
1022		"05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053",
1023		"03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
1024		1,
1025		"03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
1026		"2",
1027		283,
1028		C2_B283
1029		);
1030
1031	/* Curve K-409 (FIPS PUB 186-2, App. 6) */
1032	CHAR2_CURVE_TEST
1033		(
1034		"NIST curve K-409",
1035		"02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
1036		"0",
1037		"1",
1038		"0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746",
1039		"01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
1040		1,
1041		"007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
1042		"4",
1043		409,
1044		C2_K409
1045		);
1046
1047	/* Curve B-409 (FIPS PUB 186-2, App. 6) */
1048	CHAR2_CURVE_TEST
1049		(
1050		"NIST curve B-409",
1051		"02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
1052		"00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1053		"0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
1054		"015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7",
1055		"0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
1056		1,
1057		"010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
1058		"2",
1059		409,
1060		C2_B409
1061		);
1062
1063	/* Curve K-571 (FIPS PUB 186-2, App. 6) */
1064	CHAR2_CURVE_TEST
1065		(
1066		"NIST curve K-571",
1067		"80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1068		"0",
1069		"1",
1070		"026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972",
1071		"0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
1072		0,
1073		"020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
1074		"4",
1075		571,
1076		C2_K571
1077		);
1078
1079	/* Curve B-571 (FIPS PUB 186-2, App. 6) */
1080	CHAR2_CURVE_TEST
1081		(
1082		"NIST curve B-571",
1083		"80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1084		"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1085		"02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
1086		"0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19",
1087		"037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
1088		1,
1089		"03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
1090		"2",
1091		571,
1092		C2_B571
1093		);
1094
1095	/* more tests using the last curve */
1096
1097	if (!EC_POINT_copy(Q, P)) ABORT;
1098	if (EC_POINT_is_at_infinity(group, Q)) ABORT;
1099	if (!EC_POINT_dbl(group, P, P, ctx)) ABORT;
1100	if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
1101	if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */
1102
1103	if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT;
1104	if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT;
1105	if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */
1106
1107	{
1108		const EC_POINT *points[3];
1109		const BIGNUM *scalars[3];
1110
1111		if (EC_POINT_is_at_infinity(group, Q)) ABORT;
1112		points[0] = Q;
1113		points[1] = Q;
1114		points[2] = Q;
1115
1116		if (!BN_add(y, z, BN_value_one())) ABORT;
1117		if (BN_is_odd(y)) ABORT;
1118		if (!BN_rshift1(y, y)) ABORT;
1119		scalars[0] = y; /* (group order + 1)/2,  so  y*Q + y*Q = Q */
1120		scalars[1] = y;
1121
1122		fprintf(stdout, "combined multiplication ...");
1123		fflush(stdout);
1124
1125		/* z is still the group order */
1126		if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
1127		if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT;
1128		if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
1129		if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT;
1130
1131		fprintf(stdout, ".");
1132		fflush(stdout);
1133
1134		if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT;
1135		if (!BN_add(z, z, y)) ABORT;
1136		BN_set_negative(z, 1);
1137		scalars[0] = y;
1138		scalars[1] = z; /* z = -(order + y) */
1139
1140		if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
1141		if (!EC_POINT_is_at_infinity(group, P)) ABORT;
1142
1143		fprintf(stdout, ".");
1144		fflush(stdout);
1145
1146		if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT;
1147		if (!BN_add(z, x, y)) ABORT;
1148		BN_set_negative(z, 1);
1149		scalars[0] = x;
1150		scalars[1] = y;
1151		scalars[2] = z; /* z = -(x+y) */
1152
1153		if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx)) ABORT;
1154		if (!EC_POINT_is_at_infinity(group, P)) ABORT;
1155
1156		fprintf(stdout, " ok\n\n");
1157	}
1158
1159
1160#if 0
1161	timings(C2_K163, TIMING_BASE_PT, ctx);
1162	timings(C2_K163, TIMING_RAND_PT, ctx);
1163	timings(C2_K163, TIMING_SIMUL, ctx);
1164	timings(C2_B163, TIMING_BASE_PT, ctx);
1165	timings(C2_B163, TIMING_RAND_PT, ctx);
1166	timings(C2_B163, TIMING_SIMUL, ctx);
1167	timings(C2_K233, TIMING_BASE_PT, ctx);
1168	timings(C2_K233, TIMING_RAND_PT, ctx);
1169	timings(C2_K233, TIMING_SIMUL, ctx);
1170	timings(C2_B233, TIMING_BASE_PT, ctx);
1171	timings(C2_B233, TIMING_RAND_PT, ctx);
1172	timings(C2_B233, TIMING_SIMUL, ctx);
1173	timings(C2_K283, TIMING_BASE_PT, ctx);
1174	timings(C2_K283, TIMING_RAND_PT, ctx);
1175	timings(C2_K283, TIMING_SIMUL, ctx);
1176	timings(C2_B283, TIMING_BASE_PT, ctx);
1177	timings(C2_B283, TIMING_RAND_PT, ctx);
1178	timings(C2_B283, TIMING_SIMUL, ctx);
1179	timings(C2_K409, TIMING_BASE_PT, ctx);
1180	timings(C2_K409, TIMING_RAND_PT, ctx);
1181	timings(C2_K409, TIMING_SIMUL, ctx);
1182	timings(C2_B409, TIMING_BASE_PT, ctx);
1183	timings(C2_B409, TIMING_RAND_PT, ctx);
1184	timings(C2_B409, TIMING_SIMUL, ctx);
1185	timings(C2_K571, TIMING_BASE_PT, ctx);
1186	timings(C2_K571, TIMING_RAND_PT, ctx);
1187	timings(C2_K571, TIMING_SIMUL, ctx);
1188	timings(C2_B571, TIMING_BASE_PT, ctx);
1189	timings(C2_B571, TIMING_RAND_PT, ctx);
1190	timings(C2_B571, TIMING_SIMUL, ctx);
1191#endif
1192
1193
1194	if (ctx)
1195		BN_CTX_free(ctx);
1196	BN_free(p); BN_free(a);	BN_free(b);
1197	EC_GROUP_free(group);
1198	EC_POINT_free(P);
1199	EC_POINT_free(Q);
1200	EC_POINT_free(R);
1201	BN_free(x); BN_free(y); BN_free(z); BN_free(cof);
1202
1203	if (C2_K163) EC_GROUP_free(C2_K163);
1204	if (C2_B163) EC_GROUP_free(C2_B163);
1205	if (C2_K233) EC_GROUP_free(C2_K233);
1206	if (C2_B233) EC_GROUP_free(C2_B233);
1207	if (C2_K283) EC_GROUP_free(C2_K283);
1208	if (C2_B283) EC_GROUP_free(C2_B283);
1209	if (C2_K409) EC_GROUP_free(C2_K409);
1210	if (C2_B409) EC_GROUP_free(C2_B409);
1211	if (C2_K571) EC_GROUP_free(C2_K571);
1212	if (C2_B571) EC_GROUP_free(C2_B571);
1213
1214	}
1215#endif
1216
1217static void internal_curve_test(void)
1218	{
1219	EC_builtin_curve *curves = NULL;
1220	size_t crv_len = 0, n = 0;
1221	int    ok = 1;
1222
1223	crv_len = EC_get_builtin_curves(NULL, 0);
1224
1225	curves = OPENSSL_malloc(sizeof(EC_builtin_curve) * crv_len);
1226
1227	if (curves == NULL)
1228		return;
1229
1230	if (!EC_get_builtin_curves(curves, crv_len))
1231		{
1232		OPENSSL_free(curves);
1233		return;
1234		}
1235
1236	fprintf(stdout, "testing internal curves: ");
1237
1238	for (n = 0; n < crv_len; n++)
1239		{
1240		EC_GROUP *group = NULL;
1241		int nid = curves[n].nid;
1242		if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL)
1243			{
1244			ok = 0;
1245			fprintf(stdout, "\nEC_GROUP_new_curve_name() failed with"
1246				" curve %s\n", OBJ_nid2sn(nid));
1247			/* try next curve */
1248			continue;
1249			}
1250		if (!EC_GROUP_check(group, NULL))
1251			{
1252			ok = 0;
1253			fprintf(stdout, "\nEC_GROUP_check() failed with"
1254				" curve %s\n", OBJ_nid2sn(nid));
1255			EC_GROUP_free(group);
1256			/* try the next curve */
1257			continue;
1258			}
1259		fprintf(stdout, ".");
1260		fflush(stdout);
1261		EC_GROUP_free(group);
1262		}
1263	if (ok)
1264		fprintf(stdout, " ok\n\n");
1265	else
1266		{
1267		fprintf(stdout, " failed\n\n");
1268		ABORT;
1269		}
1270	OPENSSL_free(curves);
1271	return;
1272	}
1273
1274#ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
1275/* nistp_test_params contains magic numbers for testing our optimized
1276 * implementations of several NIST curves with characteristic > 3. */
1277struct nistp_test_params
1278	{
1279	const EC_METHOD* (*meth) ();
1280	int degree;
1281	/* Qx, Qy and D are taken from
1282	 * http://csrc.nist.gov/groups/ST/toolkit/documents/Examples/ECDSA_Prime.pdf
1283	 * Otherwise, values are standard curve parameters from FIPS 180-3 */
1284	const char *p, *a, *b, *Qx, *Qy, *Gx, *Gy, *order, *d;
1285	};
1286
1287static const struct nistp_test_params nistp_tests_params[] =
1288	{
1289		{
1290		/* P-224 */
1291		EC_GFp_nistp224_method,
1292		224,
1293		"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", /* p */
1294		"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", /* a */
1295		"B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", /* b */
1296		"E84FB0B8E7000CB657D7973CF6B42ED78B301674276DF744AF130B3E", /* Qx */
1297		"4376675C6FC5612C21A0FF2D2A89D2987DF7A2BC52183B5982298555", /* Qy */
1298		"B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", /* Gx */
1299		"BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34", /* Gy */
1300		"FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", /* order */
1301		"3F0C488E987C80BE0FEE521F8D90BE6034EC69AE11CA72AA777481E8", /* d */
1302		},
1303		{
1304		/* P-256 */
1305		EC_GFp_nistp256_method,
1306		256,
1307		"ffffffff00000001000000000000000000000000ffffffffffffffffffffffff", /* p */
1308		"ffffffff00000001000000000000000000000000fffffffffffffffffffffffc", /* a */
1309		"5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b", /* b */
1310		"b7e08afdfe94bad3f1dc8c734798ba1c62b3a0ad1e9ea2a38201cd0889bc7a19", /* Qx */
1311		"3603f747959dbf7a4bb226e41928729063adc7ae43529e61b563bbc606cc5e09", /* Qy */
1312		"6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296", /* Gx */
1313		"4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5", /* Gy */
1314		"ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551", /* order */
1315		"c477f9f65c22cce20657faa5b2d1d8122336f851a508a1ed04e479c34985bf96", /* d */
1316		},
1317		{
1318		/* P-521 */
1319		EC_GFp_nistp521_method,
1320		521,
1321		"1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", /* p */
1322		"1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc", /* a */
1323		"051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00", /* b */
1324		"0098e91eef9a68452822309c52fab453f5f117c1da8ed796b255e9ab8f6410cca16e59df403a6bdc6ca467a37056b1e54b3005d8ac030decfeb68df18b171885d5c4", /* Qx */
1325		"0164350c321aecfc1cca1ba4364c9b15656150b4b78d6a48d7d28e7f31985ef17be8554376b72900712c4b83ad668327231526e313f5f092999a4632fd50d946bc2e", /* Qy */
1326		"c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66", /* Gx */
1327		"11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650", /* Gy */
1328		"1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409", /* order */
1329		"0100085f47b8e1b8b11b7eb33028c0b2888e304bfc98501955b45bba1478dc184eeedf09b86a5f7c21994406072787205e69a63709fe35aa93ba333514b24f961722", /* d */
1330		},
1331	};
1332
1333void nistp_single_test(const struct nistp_test_params *test)
1334	{
1335	BN_CTX *ctx;
1336	BIGNUM *p, *a, *b, *x, *y, *n, *m, *order;
1337	EC_GROUP *NISTP;
1338	EC_POINT *G, *P, *Q, *Q_CHECK;
1339
1340	fprintf(stdout, "\nNIST curve P-%d (optimised implementation):\n", test->degree);
1341	ctx = BN_CTX_new();
1342	p = BN_new();
1343	a = BN_new();
1344	b = BN_new();
1345	x = BN_new(); y = BN_new();
1346	m = BN_new(); n = BN_new(); order = BN_new();
1347
1348	NISTP = EC_GROUP_new(test->meth());
1349	if(!NISTP) ABORT;
1350	if (!BN_hex2bn(&p, test->p)) ABORT;
1351	if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
1352	if (!BN_hex2bn(&a, test->a)) ABORT;
1353	if (!BN_hex2bn(&b, test->b)) ABORT;
1354	if (!EC_GROUP_set_curve_GFp(NISTP, p, a, b, ctx)) ABORT;
1355	G = EC_POINT_new(NISTP);
1356	P = EC_POINT_new(NISTP);
1357	Q = EC_POINT_new(NISTP);
1358	Q_CHECK = EC_POINT_new(NISTP);
1359	if(!BN_hex2bn(&x, test->Qx)) ABORT;
1360	if(!BN_hex2bn(&y, test->Qy)) ABORT;
1361	if(!EC_POINT_set_affine_coordinates_GFp(NISTP, Q_CHECK, x, y, ctx)) ABORT;
1362	if (!BN_hex2bn(&x, test->Gx)) ABORT;
1363	if (!BN_hex2bn(&y, test->Gy)) ABORT;
1364	if (!EC_POINT_set_affine_coordinates_GFp(NISTP, G, x, y, ctx)) ABORT;
1365	if (!BN_hex2bn(&order, test->order)) ABORT;
1366	if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one())) ABORT;
1367
1368	fprintf(stdout, "verify degree ... ");
1369	if (EC_GROUP_get_degree(NISTP) != test->degree) ABORT;
1370	fprintf(stdout, "ok\n");
1371
1372	fprintf(stdout, "NIST test vectors ... ");
1373	if (!BN_hex2bn(&n, test->d)) ABORT;
1374	/* fixed point multiplication */
1375	EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
1376	if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1377	/* random point multiplication */
1378	EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
1379	if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1380
1381	/* set generator to P = 2*G, where G is the standard generator */
1382	if (!EC_POINT_dbl(NISTP, P, G, ctx)) ABORT;
1383	if (!EC_GROUP_set_generator(NISTP, P, order, BN_value_one())) ABORT;
1384	/* set the scalar to m=n/2, where n is the NIST test scalar */
1385	if (!BN_rshift(m, n, 1)) ABORT;
1386
1387	/* test the non-standard generator */
1388	/* fixed point multiplication */
1389	EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
1390	if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1391	/* random point multiplication */
1392	EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
1393	if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1394
1395	/* now repeat all tests with precomputation */
1396	if (!EC_GROUP_precompute_mult(NISTP, ctx)) ABORT;
1397
1398	/* fixed point multiplication */
1399	EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
1400	if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1401	/* random point multiplication */
1402	EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
1403	if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1404
1405	/* reset generator */
1406	if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one())) ABORT;
1407	/* fixed point multiplication */
1408	EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
1409	if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1410	/* random point multiplication */
1411	EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
1412	if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1413
1414	fprintf(stdout, "ok\n");
1415	group_order_tests(NISTP);
1416#if 0
1417	timings(NISTP, TIMING_BASE_PT, ctx);
1418	timings(NISTP, TIMING_RAND_PT, ctx);
1419#endif
1420	EC_GROUP_free(NISTP);
1421	EC_POINT_free(G);
1422	EC_POINT_free(P);
1423	EC_POINT_free(Q);
1424	EC_POINT_free(Q_CHECK);
1425	BN_free(n);
1426	BN_free(m);
1427	BN_free(p);
1428	BN_free(a);
1429	BN_free(b);
1430	BN_free(x);
1431	BN_free(y);
1432	BN_free(order);
1433	BN_CTX_free(ctx);
1434	}
1435
1436void nistp_tests()
1437	{
1438	unsigned i;
1439
1440	for (i = 0; i < sizeof(nistp_tests_params) / sizeof(struct nistp_test_params); i++)
1441		{
1442		nistp_single_test(&nistp_tests_params[i]);
1443		}
1444	}
1445#endif
1446
1447static const char rnd_seed[] = "string to make the random number generator think it has entropy";
1448
1449int main(int argc, char *argv[])
1450	{
1451
1452	/* enable memory leak checking unless explicitly disabled */
1453	if (!((getenv("OPENSSL_DEBUG_MEMORY") != NULL) && (0 == strcmp(getenv("OPENSSL_DEBUG_MEMORY"), "off"))))
1454		{
1455		CRYPTO_malloc_debug_init();
1456		CRYPTO_set_mem_debug_options(V_CRYPTO_MDEBUG_ALL);
1457		}
1458	else
1459		{
1460		/* OPENSSL_DEBUG_MEMORY=off */
1461		CRYPTO_set_mem_debug_functions(0, 0, 0, 0, 0);
1462		}
1463	CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON);
1464	ERR_load_crypto_strings();
1465
1466	RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */
1467
1468	prime_field_tests();
1469	puts("");
1470#ifndef OPENSSL_NO_EC2M
1471	char2_field_tests();
1472#endif
1473#ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
1474	nistp_tests();
1475#endif
1476	/* test the internal curves */
1477	internal_curve_test();
1478
1479#ifndef OPENSSL_NO_ENGINE
1480	ENGINE_cleanup();
1481#endif
1482	CRYPTO_cleanup_all_ex_data();
1483	ERR_free_strings();
1484	ERR_remove_thread_state(NULL);
1485	CRYPTO_mem_leaks_fp(stderr);
1486
1487	return 0;
1488	}
1489#endif
1490