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	int i;
203
204	n1 = BN_new(); n2 = BN_new(); order = BN_new();
205	fprintf(stdout, "verify group order ...");
206	fflush(stdout);
207	if (!EC_GROUP_get_order(group, order, ctx)) ABORT;
208	if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) ABORT;
209	if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
210	fprintf(stdout, ".");
211	fflush(stdout);
212	if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
213	if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) ABORT;
214	if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
215	fprintf(stdout, " ok\n");
216	fprintf(stdout, "long/negative scalar tests ");
217        for (i = 1; i <= 2; i++)
218		{
219		const BIGNUM *scalars[6];
220		const EC_POINT *points[6];
221
222		fprintf(stdout, i == 1 ?
223			"allowing precomputation ... " :
224			"without precomputation ... ");
225		if (!BN_set_word(n1, i)) ABORT;
226		/* If i == 1, P will be the predefined generator for which
227		 * EC_GROUP_precompute_mult has set up precomputation. */
228		if (!EC_POINT_mul(group, P, n1, NULL, NULL, ctx)) ABORT;
229
230		if (!BN_one(n1)) ABORT;
231		/* n1 = 1 - order */
232		if (!BN_sub(n1, n1, order)) ABORT;
233		if (!EC_POINT_mul(group, Q, NULL, P, n1, ctx)) ABORT;
234		if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT;
235
236		/* n2 = 1 + order */
237		if (!BN_add(n2, order, BN_value_one())) ABORT;
238		if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) ABORT;
239		if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT;
240
241		/* n2 = (1 - order) * (1 + order) = 1 - order^2 */
242		if (!BN_mul(n2, n1, n2, ctx)) ABORT;
243		if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) ABORT;
244		if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT;
245
246		/* n2 = order^2 - 1 */
247		BN_set_negative(n2, 0);
248		if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) ABORT;
249		/* Add P to verify the result. */
250		if (!EC_POINT_add(group, Q, Q, P, ctx)) ABORT;
251		if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
252
253		/* Exercise EC_POINTs_mul, including corner cases. */
254		if (EC_POINT_is_at_infinity(group, P)) ABORT;
255		scalars[0] = n1; points[0] = Q; /* => infinity */
256		scalars[1] = n2; points[1] = P; /* => -P */
257		scalars[2] = n1; points[2] = Q; /* => infinity */
258		scalars[3] = n2; points[3] = Q; /* => infinity */
259		scalars[4] = n1; points[4] = P; /* => P */
260		scalars[5] = n2; points[5] = Q; /* => infinity */
261		if (!EC_POINTs_mul(group, P, NULL, 6, points, scalars, ctx)) ABORT;
262		if (!EC_POINT_is_at_infinity(group, P)) ABORT;
263		}
264	fprintf(stdout, "ok\n");
265
266	EC_POINT_free(P);
267	EC_POINT_free(Q);
268	BN_free(n1);
269	BN_free(n2);
270	BN_free(order);
271	BN_CTX_free(ctx);
272	}
273
274static void prime_field_tests(void)
275	{
276	BN_CTX *ctx = NULL;
277	BIGNUM *p, *a, *b;
278	EC_GROUP *group;
279	EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, *P_256 = NULL, *P_384 = NULL, *P_521 = NULL;
280	EC_POINT *P, *Q, *R;
281	BIGNUM *x, *y, *z;
282	unsigned char buf[100];
283	size_t i, len;
284	int k;
285
286#if 1 /* optional */
287	ctx = BN_CTX_new();
288	if (!ctx) ABORT;
289#endif
290
291	p = BN_new();
292	a = BN_new();
293	b = BN_new();
294	if (!p || !a || !b) ABORT;
295
296	if (!BN_hex2bn(&p, "17")) ABORT;
297	if (!BN_hex2bn(&a, "1")) ABORT;
298	if (!BN_hex2bn(&b, "1")) ABORT;
299
300	group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use EC_GROUP_new_curve_GFp
301	                                             * so that the library gets to choose the EC_METHOD */
302	if (!group) ABORT;
303
304	if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
305
306	{
307		EC_GROUP *tmp;
308		tmp = EC_GROUP_new(EC_GROUP_method_of(group));
309		if (!tmp) ABORT;
310		if (!EC_GROUP_copy(tmp, group)) ABORT;
311		EC_GROUP_free(group);
312		group = tmp;
313	}
314
315	if (!EC_GROUP_get_curve_GFp(group, p, a, b, ctx)) ABORT;
316
317	fprintf(stdout, "Curve defined by Weierstrass equation\n     y^2 = x^3 + a*x + b  (mod 0x");
318	BN_print_fp(stdout, p);
319	fprintf(stdout, ")\n     a = 0x");
320	BN_print_fp(stdout, a);
321	fprintf(stdout, "\n     b = 0x");
322	BN_print_fp(stdout, b);
323	fprintf(stdout, "\n");
324
325	P = EC_POINT_new(group);
326	Q = EC_POINT_new(group);
327	R = EC_POINT_new(group);
328	if (!P || !Q || !R) ABORT;
329
330	if (!EC_POINT_set_to_infinity(group, P)) ABORT;
331	if (!EC_POINT_is_at_infinity(group, P)) ABORT;
332
333	buf[0] = 0;
334	if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT;
335
336	if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
337	if (!EC_POINT_is_at_infinity(group, P)) ABORT;
338
339	x = BN_new();
340	y = BN_new();
341	z = BN_new();
342	if (!x || !y || !z) ABORT;
343
344	if (!BN_hex2bn(&x, "D")) ABORT;
345	if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx)) ABORT;
346	if (!EC_POINT_is_on_curve(group, Q, ctx))
347		{
348		if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx)) ABORT;
349		fprintf(stderr, "Point is not on curve: x = 0x");
350		BN_print_fp(stderr, x);
351		fprintf(stderr, ", y = 0x");
352		BN_print_fp(stderr, y);
353		fprintf(stderr, "\n");
354		ABORT;
355		}
356
357	fprintf(stdout, "A cyclic subgroup:\n");
358	k = 100;
359	do
360		{
361		if (k-- == 0) ABORT;
362
363		if (EC_POINT_is_at_infinity(group, P))
364			fprintf(stdout, "     point at infinity\n");
365		else
366			{
367			if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
368
369			fprintf(stdout, "     x = 0x");
370			BN_print_fp(stdout, x);
371			fprintf(stdout, ", y = 0x");
372			BN_print_fp(stdout, y);
373			fprintf(stdout, "\n");
374			}
375
376		if (!EC_POINT_copy(R, P)) ABORT;
377		if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
378
379#if 0 /* optional */
380		{
381			EC_POINT *points[3];
382
383			points[0] = R;
384			points[1] = Q;
385			points[2] = P;
386			if (!EC_POINTs_make_affine(group, 2, points, ctx)) ABORT;
387		}
388#endif
389
390		}
391	while (!EC_POINT_is_at_infinity(group, P));
392
393	if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT;
394	if (!EC_POINT_is_at_infinity(group, P)) ABORT;
395
396	len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx);
397	if (len == 0) ABORT;
398	if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
399	if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
400	fprintf(stdout, "Generator as octet string, compressed form:\n     ");
401	for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
402
403	len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx);
404	if (len == 0) ABORT;
405	if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
406	if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
407	fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n     ");
408	for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
409
410	len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx);
411	if (len == 0) ABORT;
412	if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
413	if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
414	fprintf(stdout, "\nGenerator as octet string, hybrid form:\n     ");
415	for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
416
417	if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx)) ABORT;
418	fprintf(stdout, "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n     X = 0x");
419	BN_print_fp(stdout, x);
420	fprintf(stdout, ", Y = 0x");
421	BN_print_fp(stdout, y);
422	fprintf(stdout, ", Z = 0x");
423	BN_print_fp(stdout, z);
424	fprintf(stdout, "\n");
425
426	if (!EC_POINT_invert(group, P, ctx)) ABORT;
427	if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
428
429
430	/* Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2, 2000)
431	 * -- not a NIST curve, but commonly used */
432
433	if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF")) ABORT;
434	if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
435	if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC")) ABORT;
436	if (!BN_hex2bn(&b, "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45")) ABORT;
437	if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
438
439	if (!BN_hex2bn(&x, "4A96B5688EF573284664698968C38BB913CBFC82")) ABORT;
440	if (!BN_hex2bn(&y, "23a628553168947d59dcc912042351377ac5fb32")) ABORT;
441	if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
442	if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
443	if (!BN_hex2bn(&z, "0100000000000000000001F4C8F927AED3CA752257")) ABORT;
444	if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
445
446	if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
447	fprintf(stdout, "\nSEC2 curve secp160r1 -- Generator:\n     x = 0x");
448	BN_print_fp(stdout, x);
449	fprintf(stdout, "\n     y = 0x");
450	BN_print_fp(stdout, y);
451	fprintf(stdout, "\n");
452	/* G_y value taken from the standard: */
453	if (!BN_hex2bn(&z, "23a628553168947d59dcc912042351377ac5fb32")) ABORT;
454	if (0 != BN_cmp(y, z)) ABORT;
455
456	fprintf(stdout, "verify degree ...");
457	if (EC_GROUP_get_degree(group) != 160) ABORT;
458	fprintf(stdout, " ok\n");
459
460	group_order_tests(group);
461
462	if (!(P_160 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
463	if (!EC_GROUP_copy(P_160, group)) ABORT;
464
465
466	/* Curve P-192 (FIPS PUB 186-2, App. 6) */
467
468	if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF")) ABORT;
469	if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
470	if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC")) ABORT;
471	if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1")) ABORT;
472	if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
473
474	if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012")) ABORT;
475	if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
476	if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
477	if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831")) ABORT;
478	if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
479
480	if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
481	fprintf(stdout, "\nNIST curve P-192 -- Generator:\n     x = 0x");
482	BN_print_fp(stdout, x);
483	fprintf(stdout, "\n     y = 0x");
484	BN_print_fp(stdout, y);
485	fprintf(stdout, "\n");
486	/* G_y value taken from the standard: */
487	if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811")) ABORT;
488	if (0 != BN_cmp(y, z)) ABORT;
489
490	fprintf(stdout, "verify degree ...");
491	if (EC_GROUP_get_degree(group) != 192) ABORT;
492	fprintf(stdout, " ok\n");
493
494	group_order_tests(group);
495
496	if (!(P_192 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
497	if (!EC_GROUP_copy(P_192, group)) ABORT;
498
499
500	/* Curve P-224 (FIPS PUB 186-2, App. 6) */
501
502	if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001")) ABORT;
503	if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
504	if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE")) ABORT;
505	if (!BN_hex2bn(&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4")) ABORT;
506	if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
507
508	if (!BN_hex2bn(&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21")) ABORT;
509	if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT;
510	if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
511	if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D")) ABORT;
512	if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
513
514	if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
515	fprintf(stdout, "\nNIST curve P-224 -- Generator:\n     x = 0x");
516	BN_print_fp(stdout, x);
517	fprintf(stdout, "\n     y = 0x");
518	BN_print_fp(stdout, y);
519	fprintf(stdout, "\n");
520	/* G_y value taken from the standard: */
521	if (!BN_hex2bn(&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34")) ABORT;
522	if (0 != BN_cmp(y, z)) ABORT;
523
524	fprintf(stdout, "verify degree ...");
525	if (EC_GROUP_get_degree(group) != 224) ABORT;
526	fprintf(stdout, " ok\n");
527
528	group_order_tests(group);
529
530	if (!(P_224 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
531	if (!EC_GROUP_copy(P_224, group)) ABORT;
532
533
534	/* Curve P-256 (FIPS PUB 186-2, App. 6) */
535
536	if (!BN_hex2bn(&p, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF")) ABORT;
537	if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
538	if (!BN_hex2bn(&a, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC")) ABORT;
539	if (!BN_hex2bn(&b, "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B")) ABORT;
540	if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
541
542	if (!BN_hex2bn(&x, "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296")) ABORT;
543	if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
544	if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
545	if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E"
546		"84F3B9CAC2FC632551")) ABORT;
547	if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
548
549	if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
550	fprintf(stdout, "\nNIST curve P-256 -- Generator:\n     x = 0x");
551	BN_print_fp(stdout, x);
552	fprintf(stdout, "\n     y = 0x");
553	BN_print_fp(stdout, y);
554	fprintf(stdout, "\n");
555	/* G_y value taken from the standard: */
556	if (!BN_hex2bn(&z, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5")) ABORT;
557	if (0 != BN_cmp(y, z)) ABORT;
558
559	fprintf(stdout, "verify degree ...");
560	if (EC_GROUP_get_degree(group) != 256) ABORT;
561	fprintf(stdout, " ok\n");
562
563	group_order_tests(group);
564
565	if (!(P_256 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
566	if (!EC_GROUP_copy(P_256, group)) ABORT;
567
568
569	/* Curve P-384 (FIPS PUB 186-2, App. 6) */
570
571	if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
572		"FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF")) ABORT;
573	if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
574	if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
575		"FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC")) ABORT;
576	if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141"
577		"120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF")) ABORT;
578	if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
579
580	if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B"
581		"9859F741E082542A385502F25DBF55296C3A545E3872760AB7")) ABORT;
582	if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
583	if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
584	if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
585		"FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973")) ABORT;
586	if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
587
588	if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
589	fprintf(stdout, "\nNIST curve P-384 -- Generator:\n     x = 0x");
590	BN_print_fp(stdout, x);
591	fprintf(stdout, "\n     y = 0x");
592	BN_print_fp(stdout, y);
593	fprintf(stdout, "\n");
594	/* G_y value taken from the standard: */
595	if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14"
596		"7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F")) ABORT;
597	if (0 != BN_cmp(y, z)) ABORT;
598
599	fprintf(stdout, "verify degree ...");
600	if (EC_GROUP_get_degree(group) != 384) ABORT;
601	fprintf(stdout, " ok\n");
602
603	group_order_tests(group);
604
605	if (!(P_384 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
606	if (!EC_GROUP_copy(P_384, group)) ABORT;
607
608
609	/* Curve P-521 (FIPS PUB 186-2, App. 6) */
610
611	if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
612		"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
613		"FFFFFFFFFFFFFFFFFFFFFFFFFFFF")) ABORT;
614	if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
615	if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
616		"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
617		"FFFFFFFFFFFFFFFFFFFFFFFFFFFC")) ABORT;
618	if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B"
619		"315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573"
620		"DF883D2C34F1EF451FD46B503F00")) ABORT;
621	if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
622
623	if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F"
624		"B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B"
625		"3C1856A429BF97E7E31C2E5BD66")) ABORT;
626	if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT;
627	if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
628	if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
629		"FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5"
630		"C9B8899C47AEBB6FB71E91386409")) ABORT;
631	if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
632
633	if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
634	fprintf(stdout, "\nNIST curve P-521 -- Generator:\n     x = 0x");
635	BN_print_fp(stdout, x);
636	fprintf(stdout, "\n     y = 0x");
637	BN_print_fp(stdout, y);
638	fprintf(stdout, "\n");
639	/* G_y value taken from the standard: */
640	if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579"
641		"B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C"
642		"7086A272C24088BE94769FD16650")) ABORT;
643	if (0 != BN_cmp(y, z)) ABORT;
644
645	fprintf(stdout, "verify degree ...");
646	if (EC_GROUP_get_degree(group) != 521) ABORT;
647	fprintf(stdout, " ok\n");
648
649 	group_order_tests(group);
650
651	if (!(P_521 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
652	if (!EC_GROUP_copy(P_521, group)) ABORT;
653
654
655	/* more tests using the last curve */
656
657	if (!EC_POINT_copy(Q, P)) ABORT;
658	if (EC_POINT_is_at_infinity(group, Q)) ABORT;
659	if (!EC_POINT_dbl(group, P, P, ctx)) ABORT;
660	if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
661	if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */
662
663	if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT;
664	if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT;
665	if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */
666
667	{
668		const EC_POINT *points[4];
669		const BIGNUM *scalars[4];
670		BIGNUM scalar3;
671
672		if (EC_POINT_is_at_infinity(group, Q)) ABORT;
673		points[0] = Q;
674		points[1] = Q;
675		points[2] = Q;
676		points[3] = Q;
677
678		if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
679		if (!BN_add(y, z, BN_value_one())) ABORT;
680		if (BN_is_odd(y)) ABORT;
681		if (!BN_rshift1(y, y)) ABORT;
682		scalars[0] = y; /* (group order + 1)/2,  so  y*Q + y*Q = Q */
683		scalars[1] = y;
684
685		fprintf(stdout, "combined multiplication ...");
686		fflush(stdout);
687
688		/* z is still the group order */
689		if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
690		if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT;
691		if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
692		if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT;
693
694		fprintf(stdout, ".");
695		fflush(stdout);
696
697		if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT;
698		if (!BN_add(z, z, y)) ABORT;
699		BN_set_negative(z, 1);
700		scalars[0] = y;
701		scalars[1] = z; /* z = -(order + y) */
702
703		if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
704		if (!EC_POINT_is_at_infinity(group, P)) ABORT;
705
706		fprintf(stdout, ".");
707		fflush(stdout);
708
709		if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT;
710		if (!BN_add(z, x, y)) ABORT;
711		BN_set_negative(z, 1);
712		scalars[0] = x;
713		scalars[1] = y;
714		scalars[2] = z; /* z = -(x+y) */
715
716		BN_init(&scalar3);
717		BN_zero(&scalar3);
718		scalars[3] = &scalar3;
719
720		if (!EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx)) ABORT;
721		if (!EC_POINT_is_at_infinity(group, P)) ABORT;
722
723		fprintf(stdout, " ok\n\n");
724
725		BN_free(&scalar3);
726	}
727
728
729#if 0
730	timings(P_160, TIMING_BASE_PT, ctx);
731	timings(P_160, TIMING_RAND_PT, ctx);
732	timings(P_160, TIMING_SIMUL, ctx);
733	timings(P_192, TIMING_BASE_PT, ctx);
734	timings(P_192, TIMING_RAND_PT, ctx);
735	timings(P_192, TIMING_SIMUL, ctx);
736	timings(P_224, TIMING_BASE_PT, ctx);
737	timings(P_224, TIMING_RAND_PT, ctx);
738	timings(P_224, TIMING_SIMUL, ctx);
739	timings(P_256, TIMING_BASE_PT, ctx);
740	timings(P_256, TIMING_RAND_PT, ctx);
741	timings(P_256, TIMING_SIMUL, ctx);
742	timings(P_384, TIMING_BASE_PT, ctx);
743	timings(P_384, TIMING_RAND_PT, ctx);
744	timings(P_384, TIMING_SIMUL, ctx);
745	timings(P_521, TIMING_BASE_PT, ctx);
746	timings(P_521, TIMING_RAND_PT, ctx);
747	timings(P_521, TIMING_SIMUL, ctx);
748#endif
749
750
751	if (ctx)
752		BN_CTX_free(ctx);
753	BN_free(p); BN_free(a);	BN_free(b);
754	EC_GROUP_free(group);
755	EC_POINT_free(P);
756	EC_POINT_free(Q);
757	EC_POINT_free(R);
758	BN_free(x); BN_free(y); BN_free(z);
759
760	if (P_160) EC_GROUP_free(P_160);
761	if (P_192) EC_GROUP_free(P_192);
762	if (P_224) EC_GROUP_free(P_224);
763	if (P_256) EC_GROUP_free(P_256);
764	if (P_384) EC_GROUP_free(P_384);
765	if (P_521) EC_GROUP_free(P_521);
766
767	}
768
769/* Change test based on whether binary point compression is enabled or not. */
770#ifdef OPENSSL_EC_BIN_PT_COMP
771#define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
772	if (!BN_hex2bn(&x, _x)) ABORT; \
773	if (!EC_POINT_set_compressed_coordinates_GF2m(group, P, x, _y_bit, ctx)) ABORT; \
774	if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \
775	if (!BN_hex2bn(&z, _order)) ABORT; \
776	if (!BN_hex2bn(&cof, _cof)) ABORT; \
777	if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
778	if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
779	fprintf(stdout, "\n%s -- Generator:\n     x = 0x", _name); \
780	BN_print_fp(stdout, x); \
781	fprintf(stdout, "\n     y = 0x"); \
782	BN_print_fp(stdout, y); \
783	fprintf(stdout, "\n"); \
784	/* G_y value taken from the standard: */ \
785	if (!BN_hex2bn(&z, _y)) ABORT; \
786	if (0 != BN_cmp(y, z)) ABORT;
787#else
788#define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
789	if (!BN_hex2bn(&x, _x)) ABORT; \
790	if (!BN_hex2bn(&y, _y)) ABORT; \
791	if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
792	if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \
793	if (!BN_hex2bn(&z, _order)) ABORT; \
794	if (!BN_hex2bn(&cof, _cof)) ABORT; \
795	if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
796	fprintf(stdout, "\n%s -- Generator:\n     x = 0x", _name); \
797	BN_print_fp(stdout, x); \
798	fprintf(stdout, "\n     y = 0x"); \
799	BN_print_fp(stdout, y); \
800	fprintf(stdout, "\n");
801#endif
802
803#define CHAR2_CURVE_TEST(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
804	if (!BN_hex2bn(&p, _p)) ABORT; \
805	if (!BN_hex2bn(&a, _a)) ABORT; \
806	if (!BN_hex2bn(&b, _b)) ABORT; \
807	if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; \
808	CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
809	fprintf(stdout, "verify degree ..."); \
810	if (EC_GROUP_get_degree(group) != _degree) ABORT; \
811	fprintf(stdout, " ok\n"); \
812	group_order_tests(group); \
813	if (!(_variable = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; \
814	if (!EC_GROUP_copy(_variable, group)) ABORT; \
815
816#ifndef OPENSSL_NO_EC2M
817
818static void char2_field_tests(void)
819	{
820	BN_CTX *ctx = NULL;
821	BIGNUM *p, *a, *b;
822	EC_GROUP *group;
823	EC_GROUP *C2_K163 = NULL, *C2_K233 = NULL, *C2_K283 = NULL, *C2_K409 = NULL, *C2_K571 = NULL;
824	EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 = NULL, *C2_B571 = NULL;
825	EC_POINT *P, *Q, *R;
826	BIGNUM *x, *y, *z, *cof;
827	unsigned char buf[100];
828	size_t i, len;
829	int k;
830
831#if 1 /* optional */
832	ctx = BN_CTX_new();
833	if (!ctx) ABORT;
834#endif
835
836	p = BN_new();
837	a = BN_new();
838	b = BN_new();
839	if (!p || !a || !b) ABORT;
840
841	if (!BN_hex2bn(&p, "13")) ABORT;
842	if (!BN_hex2bn(&a, "3")) ABORT;
843	if (!BN_hex2bn(&b, "1")) ABORT;
844
845	group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use EC_GROUP_new_curve_GF2m
846	                                                * so that the library gets to choose the EC_METHOD */
847	if (!group) ABORT;
848	if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT;
849
850	{
851		EC_GROUP *tmp;
852		tmp = EC_GROUP_new(EC_GROUP_method_of(group));
853		if (!tmp) ABORT;
854		if (!EC_GROUP_copy(tmp, group)) ABORT;
855		EC_GROUP_free(group);
856		group = tmp;
857	}
858
859	if (!EC_GROUP_get_curve_GF2m(group, p, a, b, ctx)) ABORT;
860
861	fprintf(stdout, "Curve defined by Weierstrass equation\n     y^2 + x*y = x^3 + a*x^2 + b  (mod 0x");
862	BN_print_fp(stdout, p);
863	fprintf(stdout, ")\n     a = 0x");
864	BN_print_fp(stdout, a);
865	fprintf(stdout, "\n     b = 0x");
866	BN_print_fp(stdout, b);
867	fprintf(stdout, "\n(0x... means binary polynomial)\n");
868
869	P = EC_POINT_new(group);
870	Q = EC_POINT_new(group);
871	R = EC_POINT_new(group);
872	if (!P || !Q || !R) ABORT;
873
874	if (!EC_POINT_set_to_infinity(group, P)) ABORT;
875	if (!EC_POINT_is_at_infinity(group, P)) ABORT;
876
877	buf[0] = 0;
878	if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT;
879
880	if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
881	if (!EC_POINT_is_at_infinity(group, P)) ABORT;
882
883	x = BN_new();
884	y = BN_new();
885	z = BN_new();
886	cof = BN_new();
887	if (!x || !y || !z || !cof) ABORT;
888
889	if (!BN_hex2bn(&x, "6")) ABORT;
890/* Change test based on whether binary point compression is enabled or not. */
891#ifdef OPENSSL_EC_BIN_PT_COMP
892	if (!EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, ctx)) ABORT;
893#else
894	if (!BN_hex2bn(&y, "8")) ABORT;
895	if (!EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT;
896#endif
897	if (!EC_POINT_is_on_curve(group, Q, ctx))
898		{
899/* Change test based on whether binary point compression is enabled or not. */
900#ifdef OPENSSL_EC_BIN_PT_COMP
901		if (!EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT;
902#endif
903		fprintf(stderr, "Point is not on curve: x = 0x");
904		BN_print_fp(stderr, x);
905		fprintf(stderr, ", y = 0x");
906		BN_print_fp(stderr, y);
907		fprintf(stderr, "\n");
908		ABORT;
909		}
910
911	fprintf(stdout, "A cyclic subgroup:\n");
912	k = 100;
913	do
914		{
915		if (k-- == 0) ABORT;
916
917		if (EC_POINT_is_at_infinity(group, P))
918			fprintf(stdout, "     point at infinity\n");
919		else
920			{
921			if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT;
922
923			fprintf(stdout, "     x = 0x");
924			BN_print_fp(stdout, x);
925			fprintf(stdout, ", y = 0x");
926			BN_print_fp(stdout, y);
927			fprintf(stdout, "\n");
928			}
929
930		if (!EC_POINT_copy(R, P)) ABORT;
931		if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
932		}
933	while (!EC_POINT_is_at_infinity(group, P));
934
935	if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT;
936	if (!EC_POINT_is_at_infinity(group, P)) ABORT;
937
938/* Change test based on whether binary point compression is enabled or not. */
939#ifdef OPENSSL_EC_BIN_PT_COMP
940	len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx);
941	if (len == 0) ABORT;
942	if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
943	if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
944	fprintf(stdout, "Generator as octet string, compressed form:\n     ");
945	for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
946#endif
947
948	len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx);
949	if (len == 0) ABORT;
950	if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
951	if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
952	fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n     ");
953	for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
954
955/* Change test based on whether binary point compression is enabled or not. */
956#ifdef OPENSSL_EC_BIN_PT_COMP
957	len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx);
958	if (len == 0) ABORT;
959	if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
960	if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
961	fprintf(stdout, "\nGenerator as octet string, hybrid form:\n     ");
962	for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
963#endif
964
965	fprintf(stdout, "\n");
966
967	if (!EC_POINT_invert(group, P, ctx)) ABORT;
968	if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
969
970
971	/* Curve K-163 (FIPS PUB 186-2, App. 6) */
972	CHAR2_CURVE_TEST
973		(
974		"NIST curve K-163",
975		"0800000000000000000000000000000000000000C9",
976		"1",
977		"1",
978		"02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8",
979		"0289070FB05D38FF58321F2E800536D538CCDAA3D9",
980		1,
981		"04000000000000000000020108A2E0CC0D99F8A5EF",
982		"2",
983		163,
984		C2_K163
985		);
986
987	/* Curve B-163 (FIPS PUB 186-2, App. 6) */
988	CHAR2_CURVE_TEST
989		(
990		"NIST curve B-163",
991		"0800000000000000000000000000000000000000C9",
992		"1",
993		"020A601907B8C953CA1481EB10512F78744A3205FD",
994		"03F0EBA16286A2D57EA0991168D4994637E8343E36",
995		"00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
996		1,
997		"040000000000000000000292FE77E70C12A4234C33",
998		"2",
999		163,
1000		C2_B163
1001		);
1002
1003	/* Curve K-233 (FIPS PUB 186-2, App. 6) */
1004	CHAR2_CURVE_TEST
1005		(
1006		"NIST curve K-233",
1007		"020000000000000000000000000000000000000004000000000000000001",
1008		"0",
1009		"1",
1010		"017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126",
1011		"01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
1012		0,
1013		"008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
1014		"4",
1015		233,
1016		C2_K233
1017		);
1018
1019	/* Curve B-233 (FIPS PUB 186-2, App. 6) */
1020	CHAR2_CURVE_TEST
1021		(
1022		"NIST curve B-233",
1023		"020000000000000000000000000000000000000004000000000000000001",
1024		"000000000000000000000000000000000000000000000000000000000001",
1025		"0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
1026		"00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B",
1027		"01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
1028		1,
1029		"01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
1030		"2",
1031		233,
1032		C2_B233
1033		);
1034
1035	/* Curve K-283 (FIPS PUB 186-2, App. 6) */
1036	CHAR2_CURVE_TEST
1037		(
1038		"NIST curve K-283",
1039		"0800000000000000000000000000000000000000000000000000000000000000000010A1",
1040		"0",
1041		"1",
1042		"0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836",
1043		"01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
1044		0,
1045		"01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
1046		"4",
1047		283,
1048		C2_K283
1049		);
1050
1051	/* Curve B-283 (FIPS PUB 186-2, App. 6) */
1052	CHAR2_CURVE_TEST
1053		(
1054		"NIST curve B-283",
1055		"0800000000000000000000000000000000000000000000000000000000000000000010A1",
1056		"000000000000000000000000000000000000000000000000000000000000000000000001",
1057		"027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
1058		"05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053",
1059		"03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
1060		1,
1061		"03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
1062		"2",
1063		283,
1064		C2_B283
1065		);
1066
1067	/* Curve K-409 (FIPS PUB 186-2, App. 6) */
1068	CHAR2_CURVE_TEST
1069		(
1070		"NIST curve K-409",
1071		"02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
1072		"0",
1073		"1",
1074		"0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746",
1075		"01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
1076		1,
1077		"007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
1078		"4",
1079		409,
1080		C2_K409
1081		);
1082
1083	/* Curve B-409 (FIPS PUB 186-2, App. 6) */
1084	CHAR2_CURVE_TEST
1085		(
1086		"NIST curve B-409",
1087		"02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
1088		"00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1089		"0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
1090		"015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7",
1091		"0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
1092		1,
1093		"010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
1094		"2",
1095		409,
1096		C2_B409
1097		);
1098
1099	/* Curve K-571 (FIPS PUB 186-2, App. 6) */
1100	CHAR2_CURVE_TEST
1101		(
1102		"NIST curve K-571",
1103		"80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1104		"0",
1105		"1",
1106		"026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972",
1107		"0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
1108		0,
1109		"020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
1110		"4",
1111		571,
1112		C2_K571
1113		);
1114
1115	/* Curve B-571 (FIPS PUB 186-2, App. 6) */
1116	CHAR2_CURVE_TEST
1117		(
1118		"NIST curve B-571",
1119		"80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
1120		"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
1121		"02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
1122		"0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19",
1123		"037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
1124		1,
1125		"03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
1126		"2",
1127		571,
1128		C2_B571
1129		);
1130
1131	/* more tests using the last curve */
1132
1133	if (!EC_POINT_copy(Q, P)) ABORT;
1134	if (EC_POINT_is_at_infinity(group, Q)) ABORT;
1135	if (!EC_POINT_dbl(group, P, P, ctx)) ABORT;
1136	if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
1137	if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */
1138
1139	if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT;
1140	if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT;
1141	if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */
1142
1143	{
1144		const EC_POINT *points[3];
1145		const BIGNUM *scalars[3];
1146
1147		if (EC_POINT_is_at_infinity(group, Q)) ABORT;
1148		points[0] = Q;
1149		points[1] = Q;
1150		points[2] = Q;
1151
1152		if (!BN_add(y, z, BN_value_one())) ABORT;
1153		if (BN_is_odd(y)) ABORT;
1154		if (!BN_rshift1(y, y)) ABORT;
1155		scalars[0] = y; /* (group order + 1)/2,  so  y*Q + y*Q = Q */
1156		scalars[1] = y;
1157
1158		fprintf(stdout, "combined multiplication ...");
1159		fflush(stdout);
1160
1161		/* z is still the group order */
1162		if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
1163		if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT;
1164		if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
1165		if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT;
1166
1167		fprintf(stdout, ".");
1168		fflush(stdout);
1169
1170		if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT;
1171		if (!BN_add(z, z, y)) ABORT;
1172		BN_set_negative(z, 1);
1173		scalars[0] = y;
1174		scalars[1] = z; /* z = -(order + y) */
1175
1176		if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
1177		if (!EC_POINT_is_at_infinity(group, P)) ABORT;
1178
1179		fprintf(stdout, ".");
1180		fflush(stdout);
1181
1182		if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT;
1183		if (!BN_add(z, x, y)) ABORT;
1184		BN_set_negative(z, 1);
1185		scalars[0] = x;
1186		scalars[1] = y;
1187		scalars[2] = z; /* z = -(x+y) */
1188
1189		if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx)) ABORT;
1190		if (!EC_POINT_is_at_infinity(group, P)) ABORT;
1191
1192		fprintf(stdout, " ok\n\n");
1193	}
1194
1195
1196#if 0
1197	timings(C2_K163, TIMING_BASE_PT, ctx);
1198	timings(C2_K163, TIMING_RAND_PT, ctx);
1199	timings(C2_K163, TIMING_SIMUL, ctx);
1200	timings(C2_B163, TIMING_BASE_PT, ctx);
1201	timings(C2_B163, TIMING_RAND_PT, ctx);
1202	timings(C2_B163, TIMING_SIMUL, ctx);
1203	timings(C2_K233, TIMING_BASE_PT, ctx);
1204	timings(C2_K233, TIMING_RAND_PT, ctx);
1205	timings(C2_K233, TIMING_SIMUL, ctx);
1206	timings(C2_B233, TIMING_BASE_PT, ctx);
1207	timings(C2_B233, TIMING_RAND_PT, ctx);
1208	timings(C2_B233, TIMING_SIMUL, ctx);
1209	timings(C2_K283, TIMING_BASE_PT, ctx);
1210	timings(C2_K283, TIMING_RAND_PT, ctx);
1211	timings(C2_K283, TIMING_SIMUL, ctx);
1212	timings(C2_B283, TIMING_BASE_PT, ctx);
1213	timings(C2_B283, TIMING_RAND_PT, ctx);
1214	timings(C2_B283, TIMING_SIMUL, ctx);
1215	timings(C2_K409, TIMING_BASE_PT, ctx);
1216	timings(C2_K409, TIMING_RAND_PT, ctx);
1217	timings(C2_K409, TIMING_SIMUL, ctx);
1218	timings(C2_B409, TIMING_BASE_PT, ctx);
1219	timings(C2_B409, TIMING_RAND_PT, ctx);
1220	timings(C2_B409, TIMING_SIMUL, ctx);
1221	timings(C2_K571, TIMING_BASE_PT, ctx);
1222	timings(C2_K571, TIMING_RAND_PT, ctx);
1223	timings(C2_K571, TIMING_SIMUL, ctx);
1224	timings(C2_B571, TIMING_BASE_PT, ctx);
1225	timings(C2_B571, TIMING_RAND_PT, ctx);
1226	timings(C2_B571, TIMING_SIMUL, ctx);
1227#endif
1228
1229
1230	if (ctx)
1231		BN_CTX_free(ctx);
1232	BN_free(p); BN_free(a);	BN_free(b);
1233	EC_GROUP_free(group);
1234	EC_POINT_free(P);
1235	EC_POINT_free(Q);
1236	EC_POINT_free(R);
1237	BN_free(x); BN_free(y); BN_free(z); BN_free(cof);
1238
1239	if (C2_K163) EC_GROUP_free(C2_K163);
1240	if (C2_B163) EC_GROUP_free(C2_B163);
1241	if (C2_K233) EC_GROUP_free(C2_K233);
1242	if (C2_B233) EC_GROUP_free(C2_B233);
1243	if (C2_K283) EC_GROUP_free(C2_K283);
1244	if (C2_B283) EC_GROUP_free(C2_B283);
1245	if (C2_K409) EC_GROUP_free(C2_K409);
1246	if (C2_B409) EC_GROUP_free(C2_B409);
1247	if (C2_K571) EC_GROUP_free(C2_K571);
1248	if (C2_B571) EC_GROUP_free(C2_B571);
1249
1250	}
1251#endif
1252
1253static void internal_curve_test(void)
1254	{
1255	EC_builtin_curve *curves = NULL;
1256	size_t crv_len = 0, n = 0;
1257	int    ok = 1;
1258
1259	crv_len = EC_get_builtin_curves(NULL, 0);
1260
1261	curves = OPENSSL_malloc(sizeof(EC_builtin_curve) * crv_len);
1262
1263	if (curves == NULL)
1264		return;
1265
1266	if (!EC_get_builtin_curves(curves, crv_len))
1267		{
1268		OPENSSL_free(curves);
1269		return;
1270		}
1271
1272	fprintf(stdout, "testing internal curves: ");
1273
1274	for (n = 0; n < crv_len; n++)
1275		{
1276		EC_GROUP *group = NULL;
1277		int nid = curves[n].nid;
1278		if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL)
1279			{
1280			ok = 0;
1281			fprintf(stdout, "\nEC_GROUP_new_curve_name() failed with"
1282				" curve %s\n", OBJ_nid2sn(nid));
1283			/* try next curve */
1284			continue;
1285			}
1286		if (!EC_GROUP_check(group, NULL))
1287			{
1288			ok = 0;
1289			fprintf(stdout, "\nEC_GROUP_check() failed with"
1290				" curve %s\n", OBJ_nid2sn(nid));
1291			EC_GROUP_free(group);
1292			/* try the next curve */
1293			continue;
1294			}
1295		fprintf(stdout, ".");
1296		fflush(stdout);
1297		EC_GROUP_free(group);
1298		}
1299	if (ok)
1300		fprintf(stdout, " ok\n\n");
1301	else
1302		{
1303		fprintf(stdout, " failed\n\n");
1304		ABORT;
1305		}
1306	OPENSSL_free(curves);
1307	return;
1308	}
1309
1310#ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
1311/* nistp_test_params contains magic numbers for testing our optimized
1312 * implementations of several NIST curves with characteristic > 3. */
1313struct nistp_test_params
1314	{
1315	const EC_METHOD* (*meth) ();
1316	int degree;
1317	/* Qx, Qy and D are taken from
1318	 * http://csrc.nist.gov/groups/ST/toolkit/documents/Examples/ECDSA_Prime.pdf
1319	 * Otherwise, values are standard curve parameters from FIPS 180-3 */
1320	const char *p, *a, *b, *Qx, *Qy, *Gx, *Gy, *order, *d;
1321	};
1322
1323static const struct nistp_test_params nistp_tests_params[] =
1324	{
1325		{
1326		/* P-224 */
1327		EC_GFp_nistp224_method,
1328		224,
1329		"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", /* p */
1330		"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", /* a */
1331		"B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", /* b */
1332		"E84FB0B8E7000CB657D7973CF6B42ED78B301674276DF744AF130B3E", /* Qx */
1333		"4376675C6FC5612C21A0FF2D2A89D2987DF7A2BC52183B5982298555", /* Qy */
1334		"B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", /* Gx */
1335		"BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34", /* Gy */
1336		"FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", /* order */
1337		"3F0C488E987C80BE0FEE521F8D90BE6034EC69AE11CA72AA777481E8", /* d */
1338		},
1339		{
1340		/* P-256 */
1341		EC_GFp_nistp256_method,
1342		256,
1343		"ffffffff00000001000000000000000000000000ffffffffffffffffffffffff", /* p */
1344		"ffffffff00000001000000000000000000000000fffffffffffffffffffffffc", /* a */
1345		"5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b", /* b */
1346		"b7e08afdfe94bad3f1dc8c734798ba1c62b3a0ad1e9ea2a38201cd0889bc7a19", /* Qx */
1347		"3603f747959dbf7a4bb226e41928729063adc7ae43529e61b563bbc606cc5e09", /* Qy */
1348		"6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296", /* Gx */
1349		"4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5", /* Gy */
1350		"ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551", /* order */
1351		"c477f9f65c22cce20657faa5b2d1d8122336f851a508a1ed04e479c34985bf96", /* d */
1352		},
1353		{
1354		/* P-521 */
1355		EC_GFp_nistp521_method,
1356		521,
1357		"1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", /* p */
1358		"1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc", /* a */
1359		"051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00", /* b */
1360		"0098e91eef9a68452822309c52fab453f5f117c1da8ed796b255e9ab8f6410cca16e59df403a6bdc6ca467a37056b1e54b3005d8ac030decfeb68df18b171885d5c4", /* Qx */
1361		"0164350c321aecfc1cca1ba4364c9b15656150b4b78d6a48d7d28e7f31985ef17be8554376b72900712c4b83ad668327231526e313f5f092999a4632fd50d946bc2e", /* Qy */
1362		"c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66", /* Gx */
1363		"11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650", /* Gy */
1364		"1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409", /* order */
1365		"0100085f47b8e1b8b11b7eb33028c0b2888e304bfc98501955b45bba1478dc184eeedf09b86a5f7c21994406072787205e69a63709fe35aa93ba333514b24f961722", /* d */
1366		},
1367	};
1368
1369void nistp_single_test(const struct nistp_test_params *test)
1370	{
1371	BN_CTX *ctx;
1372	BIGNUM *p, *a, *b, *x, *y, *n, *m, *order;
1373	EC_GROUP *NISTP;
1374	EC_POINT *G, *P, *Q, *Q_CHECK;
1375
1376	fprintf(stdout, "\nNIST curve P-%d (optimised implementation):\n", test->degree);
1377	ctx = BN_CTX_new();
1378	p = BN_new();
1379	a = BN_new();
1380	b = BN_new();
1381	x = BN_new(); y = BN_new();
1382	m = BN_new(); n = BN_new(); order = BN_new();
1383
1384	NISTP = EC_GROUP_new(test->meth());
1385	if(!NISTP) ABORT;
1386	if (!BN_hex2bn(&p, test->p)) ABORT;
1387	if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
1388	if (!BN_hex2bn(&a, test->a)) ABORT;
1389	if (!BN_hex2bn(&b, test->b)) ABORT;
1390	if (!EC_GROUP_set_curve_GFp(NISTP, p, a, b, ctx)) ABORT;
1391	G = EC_POINT_new(NISTP);
1392	P = EC_POINT_new(NISTP);
1393	Q = EC_POINT_new(NISTP);
1394	Q_CHECK = EC_POINT_new(NISTP);
1395	if(!BN_hex2bn(&x, test->Qx)) ABORT;
1396	if(!BN_hex2bn(&y, test->Qy)) ABORT;
1397	if(!EC_POINT_set_affine_coordinates_GFp(NISTP, Q_CHECK, x, y, ctx)) ABORT;
1398	if (!BN_hex2bn(&x, test->Gx)) ABORT;
1399	if (!BN_hex2bn(&y, test->Gy)) ABORT;
1400	if (!EC_POINT_set_affine_coordinates_GFp(NISTP, G, x, y, ctx)) ABORT;
1401	if (!BN_hex2bn(&order, test->order)) ABORT;
1402	if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one())) ABORT;
1403
1404	fprintf(stdout, "verify degree ... ");
1405	if (EC_GROUP_get_degree(NISTP) != test->degree) ABORT;
1406	fprintf(stdout, "ok\n");
1407
1408	fprintf(stdout, "NIST test vectors ... ");
1409	if (!BN_hex2bn(&n, test->d)) ABORT;
1410	/* fixed point multiplication */
1411	EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
1412	if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1413	/* random point multiplication */
1414	EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
1415	if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1416
1417	/* set generator to P = 2*G, where G is the standard generator */
1418	if (!EC_POINT_dbl(NISTP, P, G, ctx)) ABORT;
1419	if (!EC_GROUP_set_generator(NISTP, P, order, BN_value_one())) ABORT;
1420	/* set the scalar to m=n/2, where n is the NIST test scalar */
1421	if (!BN_rshift(m, n, 1)) ABORT;
1422
1423	/* test the non-standard generator */
1424	/* fixed point multiplication */
1425	EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
1426	if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1427	/* random point multiplication */
1428	EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
1429	if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1430
1431	/* now repeat all tests with precomputation */
1432	if (!EC_GROUP_precompute_mult(NISTP, ctx)) ABORT;
1433
1434	/* fixed point multiplication */
1435	EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
1436	if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1437	/* random point multiplication */
1438	EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
1439	if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1440
1441	/* reset generator */
1442	if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one())) ABORT;
1443	/* fixed point multiplication */
1444	EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
1445	if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1446	/* random point multiplication */
1447	EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
1448	if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
1449
1450	fprintf(stdout, "ok\n");
1451	group_order_tests(NISTP);
1452#if 0
1453	timings(NISTP, TIMING_BASE_PT, ctx);
1454	timings(NISTP, TIMING_RAND_PT, ctx);
1455#endif
1456	EC_GROUP_free(NISTP);
1457	EC_POINT_free(G);
1458	EC_POINT_free(P);
1459	EC_POINT_free(Q);
1460	EC_POINT_free(Q_CHECK);
1461	BN_free(n);
1462	BN_free(m);
1463	BN_free(p);
1464	BN_free(a);
1465	BN_free(b);
1466	BN_free(x);
1467	BN_free(y);
1468	BN_free(order);
1469	BN_CTX_free(ctx);
1470	}
1471
1472void nistp_tests()
1473	{
1474	unsigned i;
1475
1476	for (i = 0; i < sizeof(nistp_tests_params) / sizeof(struct nistp_test_params); i++)
1477		{
1478		nistp_single_test(&nistp_tests_params[i]);
1479		}
1480	}
1481#endif
1482
1483static const char rnd_seed[] = "string to make the random number generator think it has entropy";
1484
1485int main(int argc, char *argv[])
1486	{
1487
1488	/* enable memory leak checking unless explicitly disabled */
1489	if (!((getenv("OPENSSL_DEBUG_MEMORY") != NULL) && (0 == strcmp(getenv("OPENSSL_DEBUG_MEMORY"), "off"))))
1490		{
1491		CRYPTO_malloc_debug_init();
1492		CRYPTO_set_mem_debug_options(V_CRYPTO_MDEBUG_ALL);
1493		}
1494	else
1495		{
1496		/* OPENSSL_DEBUG_MEMORY=off */
1497		CRYPTO_set_mem_debug_functions(0, 0, 0, 0, 0);
1498		}
1499	CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON);
1500	ERR_load_crypto_strings();
1501
1502	RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */
1503
1504	prime_field_tests();
1505	puts("");
1506#ifndef OPENSSL_NO_EC2M
1507	char2_field_tests();
1508#endif
1509#ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
1510	nistp_tests();
1511#endif
1512	/* test the internal curves */
1513	internal_curve_test();
1514
1515#ifndef OPENSSL_NO_ENGINE
1516	ENGINE_cleanup();
1517#endif
1518	CRYPTO_cleanup_all_ex_data();
1519	ERR_free_strings();
1520	ERR_remove_thread_state(NULL);
1521	CRYPTO_mem_leaks_fp(stderr);
1522
1523	return 0;
1524	}
1525#endif
1526