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-rw-r--r--crypto/ec/ectest.c1682
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diff --git a/crypto/ec/ectest.c b/crypto/ec/ectest.c
deleted file mode 100644
index 79ec21f820..0000000000
--- a/crypto/ec/ectest.c
+++ /dev/null
@@ -1,1682 +0,0 @@
-/* crypto/ec/ectest.c */
-/*
- * Originally written by Bodo Moeller for the OpenSSL project.
- */
-/* ====================================================================
- * Copyright (c) 1998-2001 The OpenSSL Project. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- * notice, this list of conditions and the following disclaimer.
- *
- * 2. Redistributions in binary form must reproduce the above copyright
- * notice, this list of conditions and the following disclaimer in
- * the documentation and/or other materials provided with the
- * distribution.
- *
- * 3. All advertising materials mentioning features or use of this
- * software must display the following acknowledgment:
- * "This product includes software developed by the OpenSSL Project
- * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
- *
- * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
- * endorse or promote products derived from this software without
- * prior written permission. For written permission, please contact
- * openssl-core@openssl.org.
- *
- * 5. Products derived from this software may not be called "OpenSSL"
- * nor may "OpenSSL" appear in their names without prior written
- * permission of the OpenSSL Project.
- *
- * 6. Redistributions of any form whatsoever must retain the following
- * acknowledgment:
- * "This product includes software developed by the OpenSSL Project
- * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
- *
- * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
- * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
- * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
- * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
- * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
- * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
- * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
- * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
- * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
- * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
- * OF THE POSSIBILITY OF SUCH DAMAGE.
- * ====================================================================
- *
- * This product includes cryptographic software written by Eric Young
- * (eay@cryptsoft.com). This product includes software written by Tim
- * Hudson (tjh@cryptsoft.com).
- *
- */
-/* ====================================================================
- * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
- *
- * Portions of the attached software ("Contribution") are developed by
- * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
- *
- * The Contribution is licensed pursuant to the OpenSSL open source
- * license provided above.
- *
- * The elliptic curve binary polynomial software is originally written by
- * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
- *
- */
-
-#include <stdio.h>
-#include <stdlib.h>
-#ifdef FLAT_INC
-# include "e_os.h"
-#else
-# include "../e_os.h"
-#endif
-#include <string.h>
-#include <time.h>
-
-#ifdef OPENSSL_NO_EC
-int main(int argc, char *argv[])
-{
- puts("Elliptic curves are disabled.");
- return 0;
-}
-#else
-
-# include <openssl/ec.h>
-# ifndef OPENSSL_NO_ENGINE
-# include <openssl/engine.h>
-# endif
-# include <openssl/err.h>
-# include <openssl/obj_mac.h>
-# include <openssl/objects.h>
-# include <openssl/rand.h>
-# include <openssl/bn.h>
-# include <openssl/opensslconf.h>
-
-# if defined(_MSC_VER) && defined(_MIPS_) && (_MSC_VER/100==12)
-/* suppress "too big too optimize" warning */
-# pragma warning(disable:4959)
-# endif
-
-# define ABORT do { \
- fflush(stdout); \
- fprintf(stderr, "%s:%d: ABORT\n", __FILE__, __LINE__); \
- ERR_print_errors_fp(stderr); \
- EXIT(1); \
-} while (0)
-
-# define TIMING_BASE_PT 0
-# define TIMING_RAND_PT 1
-# define TIMING_SIMUL 2
-
-/* test multiplication with group order, long and negative scalars */
-static void group_order_tests(EC_GROUP *group)
-{
- BIGNUM *n1, *n2, *order;
- EC_POINT *P = EC_POINT_new(group);
- EC_POINT *Q = EC_POINT_new(group);
- BN_CTX *ctx = BN_CTX_new();
- int i;
-
- n1 = BN_new();
- n2 = BN_new();
- order = BN_new();
- fprintf(stdout, "verify group order ...");
- fflush(stdout);
- if (!EC_GROUP_get_order(group, order, ctx))
- ABORT;
- if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx))
- ABORT;
- if (!EC_POINT_is_at_infinity(group, Q))
- ABORT;
- fprintf(stdout, ".");
- fflush(stdout);
- if (!EC_GROUP_precompute_mult(group, ctx))
- ABORT;
- if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx))
- ABORT;
- if (!EC_POINT_is_at_infinity(group, Q))
- ABORT;
- fprintf(stdout, " ok\n");
- fprintf(stdout, "long/negative scalar tests ");
- for (i = 1; i <= 2; i++) {
- const BIGNUM *scalars[6];
- const EC_POINT *points[6];
-
- fprintf(stdout, i == 1 ?
- "allowing precomputation ... " :
- "without precomputation ... ");
- if (!BN_set_word(n1, i))
- ABORT;
- /*
- * If i == 1, P will be the predefined generator for which
- * EC_GROUP_precompute_mult has set up precomputation.
- */
- if (!EC_POINT_mul(group, P, n1, NULL, NULL, ctx))
- ABORT;
-
- if (!BN_one(n1))
- ABORT;
- /* n1 = 1 - order */
- if (!BN_sub(n1, n1, order))
- ABORT;
- if (!EC_POINT_mul(group, Q, NULL, P, n1, ctx))
- ABORT;
- if (0 != EC_POINT_cmp(group, Q, P, ctx))
- ABORT;
-
- /* n2 = 1 + order */
- if (!BN_add(n2, order, BN_value_one()))
- ABORT;
- if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx))
- ABORT;
- if (0 != EC_POINT_cmp(group, Q, P, ctx))
- ABORT;
-
- /* n2 = (1 - order) * (1 + order) = 1 - order^2 */
- if (!BN_mul(n2, n1, n2, ctx))
- ABORT;
- if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx))
- ABORT;
- if (0 != EC_POINT_cmp(group, Q, P, ctx))
- ABORT;
-
- /* n2 = order^2 - 1 */
- BN_set_negative(n2, 0);
- if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx))
- ABORT;
- /* Add P to verify the result. */
- if (!EC_POINT_add(group, Q, Q, P, ctx))
- ABORT;
- if (!EC_POINT_is_at_infinity(group, Q))
- ABORT;
-
- /* Exercise EC_POINTs_mul, including corner cases. */
- if (EC_POINT_is_at_infinity(group, P))
- ABORT;
- scalars[0] = n1;
- points[0] = Q; /* => infinity */
- scalars[1] = n2;
- points[1] = P; /* => -P */
- scalars[2] = n1;
- points[2] = Q; /* => infinity */
- scalars[3] = n2;
- points[3] = Q; /* => infinity */
- scalars[4] = n1;
- points[4] = P; /* => P */
- scalars[5] = n2;
- points[5] = Q; /* => infinity */
- if (!EC_POINTs_mul(group, P, NULL, 6, points, scalars, ctx))
- ABORT;
- if (!EC_POINT_is_at_infinity(group, P))
- ABORT;
- }
- fprintf(stdout, "ok\n");
-
- EC_POINT_free(P);
- EC_POINT_free(Q);
- BN_free(n1);
- BN_free(n2);
- BN_free(order);
- BN_CTX_free(ctx);
-}
-
-static void prime_field_tests(void)
-{
- BN_CTX *ctx = NULL;
- BIGNUM *p, *a, *b;
- EC_GROUP *group;
- EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, *P_256 =
- NULL, *P_384 = NULL, *P_521 = NULL;
- EC_POINT *P, *Q, *R;
- BIGNUM *x, *y, *z;
- unsigned char buf[100];
- size_t i, len;
- int k;
-
- ctx = BN_CTX_new();
- if (!ctx)
- ABORT;
-
- p = BN_new();
- a = BN_new();
- b = BN_new();
- if (!p || !a || !b)
- ABORT;
-
- if (!BN_hex2bn(&p, "17"))
- ABORT;
- if (!BN_hex2bn(&a, "1"))
- ABORT;
- if (!BN_hex2bn(&b, "1"))
- ABORT;
-
- group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use
- * EC_GROUP_new_curve_GFp so
- * that the library gets to
- * choose the EC_METHOD */
- if (!group)
- ABORT;
-
- if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
- ABORT;
-
- {
- EC_GROUP *tmp;
- tmp = EC_GROUP_new(EC_GROUP_method_of(group));
- if (!tmp)
- ABORT;
- if (!EC_GROUP_copy(tmp, group))
- ABORT;
- EC_GROUP_free(group);
- group = tmp;
- }
-
- if (!EC_GROUP_get_curve_GFp(group, p, a, b, ctx))
- ABORT;
-
- fprintf(stdout,
- "Curve defined by Weierstrass equation\n y^2 = x^3 + a*x + b (mod 0x");
- BN_print_fp(stdout, p);
- fprintf(stdout, ")\n a = 0x");
- BN_print_fp(stdout, a);
- fprintf(stdout, "\n b = 0x");
- BN_print_fp(stdout, b);
- fprintf(stdout, "\n");
-
- P = EC_POINT_new(group);
- Q = EC_POINT_new(group);
- R = EC_POINT_new(group);
- if (!P || !Q || !R)
- ABORT;
-
- if (!EC_POINT_set_to_infinity(group, P))
- ABORT;
- if (!EC_POINT_is_at_infinity(group, P))
- ABORT;
-
- buf[0] = 0;
- if (!EC_POINT_oct2point(group, Q, buf, 1, ctx))
- ABORT;
-
- if (!EC_POINT_add(group, P, P, Q, ctx))
- ABORT;
- if (!EC_POINT_is_at_infinity(group, P))
- ABORT;
-
- x = BN_new();
- y = BN_new();
- z = BN_new();
- if (!x || !y || !z)
- ABORT;
-
- if (!BN_hex2bn(&x, "D"))
- ABORT;
- if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx))
- ABORT;
- if (!EC_POINT_is_on_curve(group, Q, ctx)) {
- if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx))
- ABORT;
- fprintf(stderr, "Point is not on curve: x = 0x");
- BN_print_fp(stderr, x);
- fprintf(stderr, ", y = 0x");
- BN_print_fp(stderr, y);
- fprintf(stderr, "\n");
- ABORT;
- }
-
- fprintf(stdout, "A cyclic subgroup:\n");
- k = 100;
- do {
- if (k-- == 0)
- ABORT;
-
- if (EC_POINT_is_at_infinity(group, P))
- fprintf(stdout, " point at infinity\n");
- else {
- if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
- ABORT;
-
- fprintf(stdout, " x = 0x");
- BN_print_fp(stdout, x);
- fprintf(stdout, ", y = 0x");
- BN_print_fp(stdout, y);
- fprintf(stdout, "\n");
- }
-
- if (!EC_POINT_copy(R, P))
- ABORT;
- if (!EC_POINT_add(group, P, P, Q, ctx))
- ABORT;
-
- }
- while (!EC_POINT_is_at_infinity(group, P));
-
- if (!EC_POINT_add(group, P, Q, R, ctx))
- ABORT;
- if (!EC_POINT_is_at_infinity(group, P))
- ABORT;
-
- len =
- EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf,
- sizeof buf, ctx);
- if (len == 0)
- ABORT;
- if (!EC_POINT_oct2point(group, P, buf, len, ctx))
- ABORT;
- if (0 != EC_POINT_cmp(group, P, Q, ctx))
- ABORT;
- fprintf(stdout, "Generator as octet string, compressed form:\n ");
- for (i = 0; i < len; i++)
- fprintf(stdout, "%02X", buf[i]);
-
- len =
- EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf,
- sizeof buf, ctx);
- if (len == 0)
- ABORT;
- if (!EC_POINT_oct2point(group, P, buf, len, ctx))
- ABORT;
- if (0 != EC_POINT_cmp(group, P, Q, ctx))
- ABORT;
- fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n ");
- for (i = 0; i < len; i++)
- fprintf(stdout, "%02X", buf[i]);
-
- len =
- EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf,
- ctx);
- if (len == 0)
- ABORT;
- if (!EC_POINT_oct2point(group, P, buf, len, ctx))
- ABORT;
- if (0 != EC_POINT_cmp(group, P, Q, ctx))
- ABORT;
- fprintf(stdout, "\nGenerator as octet string, hybrid form:\n ");
- for (i = 0; i < len; i++)
- fprintf(stdout, "%02X", buf[i]);
-
- if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx))
- ABORT;
- fprintf(stdout,
- "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n X = 0x");
- BN_print_fp(stdout, x);
- fprintf(stdout, ", Y = 0x");
- BN_print_fp(stdout, y);
- fprintf(stdout, ", Z = 0x");
- BN_print_fp(stdout, z);
- fprintf(stdout, "\n");
-
- if (!EC_POINT_invert(group, P, ctx))
- ABORT;
- if (0 != EC_POINT_cmp(group, P, R, ctx))
- ABORT;
-
- /*
- * Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2,
- * 2000) -- not a NIST curve, but commonly used
- */
-
- if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF"))
- ABORT;
- if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
- ABORT;
- if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC"))
- ABORT;
- if (!BN_hex2bn(&b, "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45"))
- ABORT;
- if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
- ABORT;
-
- if (!BN_hex2bn(&x, "4A96B5688EF573284664698968C38BB913CBFC82"))
- ABORT;
- if (!BN_hex2bn(&y, "23a628553168947d59dcc912042351377ac5fb32"))
- ABORT;
- if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx))
- ABORT;
- if (!EC_POINT_is_on_curve(group, P, ctx))
- ABORT;
- if (!BN_hex2bn(&z, "0100000000000000000001F4C8F927AED3CA752257"))
- ABORT;
- if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
- ABORT;
-
- if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
- ABORT;
- fprintf(stdout, "\nSEC2 curve secp160r1 -- Generator:\n x = 0x");
- BN_print_fp(stdout, x);
- fprintf(stdout, "\n y = 0x");
- BN_print_fp(stdout, y);
- fprintf(stdout, "\n");
- /* G_y value taken from the standard: */
- if (!BN_hex2bn(&z, "23a628553168947d59dcc912042351377ac5fb32"))
- ABORT;
- if (0 != BN_cmp(y, z))
- ABORT;
-
- fprintf(stdout, "verify degree ...");
- if (EC_GROUP_get_degree(group) != 160)
- ABORT;
- fprintf(stdout, " ok\n");
-
- group_order_tests(group);
-
- if (!(P_160 = EC_GROUP_new(EC_GROUP_method_of(group))))
- ABORT;
- if (!EC_GROUP_copy(P_160, group))
- ABORT;
-
- /* Curve P-192 (FIPS PUB 186-2, App. 6) */
-
- if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF"))
- ABORT;
- if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
- ABORT;
- if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC"))
- ABORT;
- if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1"))
- ABORT;
- if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
- ABORT;
-
- if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012"))
- ABORT;
- if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx))
- ABORT;
- if (!EC_POINT_is_on_curve(group, P, ctx))
- ABORT;
- if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831"))
- ABORT;
- if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
- ABORT;
-
- if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
- ABORT;
- fprintf(stdout, "\nNIST curve P-192 -- Generator:\n x = 0x");
- BN_print_fp(stdout, x);
- fprintf(stdout, "\n y = 0x");
- BN_print_fp(stdout, y);
- fprintf(stdout, "\n");
- /* G_y value taken from the standard: */
- if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811"))
- ABORT;
- if (0 != BN_cmp(y, z))
- ABORT;
-
- fprintf(stdout, "verify degree ...");
- if (EC_GROUP_get_degree(group) != 192)
- ABORT;
- fprintf(stdout, " ok\n");
-
- group_order_tests(group);
-
- if (!(P_192 = EC_GROUP_new(EC_GROUP_method_of(group))))
- ABORT;
- if (!EC_GROUP_copy(P_192, group))
- ABORT;
-
- /* Curve P-224 (FIPS PUB 186-2, App. 6) */
-
- if (!BN_hex2bn
- (&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001"))
- ABORT;
- if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
- ABORT;
- if (!BN_hex2bn
- (&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE"))
- ABORT;
- if (!BN_hex2bn
- (&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4"))
- ABORT;
- if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
- ABORT;
-
- if (!BN_hex2bn
- (&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21"))
- ABORT;
- if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx))
- ABORT;
- if (!EC_POINT_is_on_curve(group, P, ctx))
- ABORT;
- if (!BN_hex2bn
- (&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D"))
- ABORT;
- if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
- ABORT;
-
- if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
- ABORT;
- fprintf(stdout, "\nNIST curve P-224 -- Generator:\n x = 0x");
- BN_print_fp(stdout, x);
- fprintf(stdout, "\n y = 0x");
- BN_print_fp(stdout, y);
- fprintf(stdout, "\n");
- /* G_y value taken from the standard: */
- if (!BN_hex2bn
- (&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34"))
- ABORT;
- if (0 != BN_cmp(y, z))
- ABORT;
-
- fprintf(stdout, "verify degree ...");
- if (EC_GROUP_get_degree(group) != 224)
- ABORT;
- fprintf(stdout, " ok\n");
-
- group_order_tests(group);
-
- if (!(P_224 = EC_GROUP_new(EC_GROUP_method_of(group))))
- ABORT;
- if (!EC_GROUP_copy(P_224, group))
- ABORT;
-
- /* Curve P-256 (FIPS PUB 186-2, App. 6) */
-
- if (!BN_hex2bn
- (&p,
- "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF"))
- ABORT;
- if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
- ABORT;
- if (!BN_hex2bn
- (&a,
- "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC"))
- ABORT;
- if (!BN_hex2bn
- (&b,
- "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B"))
- ABORT;
- if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
- ABORT;
-
- if (!BN_hex2bn
- (&x,
- "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296"))
- ABORT;
- if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx))
- ABORT;
- if (!EC_POINT_is_on_curve(group, P, ctx))
- ABORT;
- if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E"
- "84F3B9CAC2FC632551"))
- ABORT;
- if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
- ABORT;
-
- if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
- ABORT;
- fprintf(stdout, "\nNIST curve P-256 -- Generator:\n x = 0x");
- BN_print_fp(stdout, x);
- fprintf(stdout, "\n y = 0x");
- BN_print_fp(stdout, y);
- fprintf(stdout, "\n");
- /* G_y value taken from the standard: */
- if (!BN_hex2bn
- (&z,
- "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5"))
- ABORT;
- if (0 != BN_cmp(y, z))
- ABORT;
-
- fprintf(stdout, "verify degree ...");
- if (EC_GROUP_get_degree(group) != 256)
- ABORT;
- fprintf(stdout, " ok\n");
-
- group_order_tests(group);
-
- if (!(P_256 = EC_GROUP_new(EC_GROUP_method_of(group))))
- ABORT;
- if (!EC_GROUP_copy(P_256, group))
- ABORT;
-
- /* Curve P-384 (FIPS PUB 186-2, App. 6) */
-
- if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
- "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF"))
- ABORT;
- if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
- ABORT;
- if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
- "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC"))
- ABORT;
- if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141"
- "120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF"))
- ABORT;
- if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
- ABORT;
-
- if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B"
- "9859F741E082542A385502F25DBF55296C3A545E3872760AB7"))
- ABORT;
- if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx))
- ABORT;
- if (!EC_POINT_is_on_curve(group, P, ctx))
- ABORT;
- if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
- "FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973"))
- ABORT;
- if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
- ABORT;
-
- if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
- ABORT;
- fprintf(stdout, "\nNIST curve P-384 -- Generator:\n x = 0x");
- BN_print_fp(stdout, x);
- fprintf(stdout, "\n y = 0x");
- BN_print_fp(stdout, y);
- fprintf(stdout, "\n");
- /* G_y value taken from the standard: */
- if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14"
- "7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F"))
- ABORT;
- if (0 != BN_cmp(y, z))
- ABORT;
-
- fprintf(stdout, "verify degree ...");
- if (EC_GROUP_get_degree(group) != 384)
- ABORT;
- fprintf(stdout, " ok\n");
-
- group_order_tests(group);
-
- if (!(P_384 = EC_GROUP_new(EC_GROUP_method_of(group))))
- ABORT;
- if (!EC_GROUP_copy(P_384, group))
- ABORT;
-
- /* Curve P-521 (FIPS PUB 186-2, App. 6) */
-
- if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
- "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
- "FFFFFFFFFFFFFFFFFFFFFFFFFFFF"))
- ABORT;
- if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL))
- ABORT;
- if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
- "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
- "FFFFFFFFFFFFFFFFFFFFFFFFFFFC"))
- ABORT;
- if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B"
- "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573"
- "DF883D2C34F1EF451FD46B503F00"))
- ABORT;
- if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx))
- ABORT;
-
- if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F"
- "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B"
- "3C1856A429BF97E7E31C2E5BD66"))
- ABORT;
- if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx))
- ABORT;
- if (!EC_POINT_is_on_curve(group, P, ctx))
- ABORT;
- if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
- "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5"
- "C9B8899C47AEBB6FB71E91386409"))
- ABORT;
- if (!EC_GROUP_set_generator(group, P, z, BN_value_one()))
- ABORT;
-
- if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx))
- ABORT;
- fprintf(stdout, "\nNIST curve P-521 -- Generator:\n x = 0x");
- BN_print_fp(stdout, x);
- fprintf(stdout, "\n y = 0x");
- BN_print_fp(stdout, y);
- fprintf(stdout, "\n");
- /* G_y value taken from the standard: */
- if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579"
- "B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C"
- "7086A272C24088BE94769FD16650"))
- ABORT;
- if (0 != BN_cmp(y, z))
- ABORT;
-
- fprintf(stdout, "verify degree ...");
- if (EC_GROUP_get_degree(group) != 521)
- ABORT;
- fprintf(stdout, " ok\n");
-
- group_order_tests(group);
-
- if (!(P_521 = EC_GROUP_new(EC_GROUP_method_of(group))))
- ABORT;
- if (!EC_GROUP_copy(P_521, group))
- ABORT;
-
- /* more tests using the last curve */
-
- if (!EC_POINT_copy(Q, P))
- ABORT;
- if (EC_POINT_is_at_infinity(group, Q))
- ABORT;
- if (!EC_POINT_dbl(group, P, P, ctx))
- ABORT;
- if (!EC_POINT_is_on_curve(group, P, ctx))
- ABORT;
- if (!EC_POINT_invert(group, Q, ctx))
- ABORT; /* P = -2Q */
-
- if (!EC_POINT_add(group, R, P, Q, ctx))
- ABORT;
- if (!EC_POINT_add(group, R, R, Q, ctx))
- ABORT;
- if (!EC_POINT_is_at_infinity(group, R))
- ABORT; /* R = P + 2Q */
-
- {
- const EC_POINT *points[4];
- const BIGNUM *scalars[4];
- BIGNUM *scalar3;
-
- if (EC_POINT_is_at_infinity(group, Q))
- ABORT;
- points[0] = Q;
- points[1] = Q;
- points[2] = Q;
- points[3] = Q;
-
- if (!EC_GROUP_get_order(group, z, ctx))
- ABORT;
- if (!BN_add(y, z, BN_value_one()))
- ABORT;
- if (BN_is_odd(y))
- ABORT;
- if (!BN_rshift1(y, y))
- ABORT;
- scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */
- scalars[1] = y;
-
- fprintf(stdout, "combined multiplication ...");
- fflush(stdout);
-
- /* z is still the group order */
- if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
- ABORT;
- if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx))
- ABORT;
- if (0 != EC_POINT_cmp(group, P, R, ctx))
- ABORT;
- if (0 != EC_POINT_cmp(group, R, Q, ctx))
- ABORT;
-
- fprintf(stdout, ".");
- fflush(stdout);
-
- if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0))
- ABORT;
- if (!BN_add(z, z, y))
- ABORT;
- BN_set_negative(z, 1);
- scalars[0] = y;
- scalars[1] = z; /* z = -(order + y) */
-
- if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx))
- ABORT;
- if (!EC_POINT_is_at_infinity(group, P))
- ABORT;
-
- fprintf(stdout, ".");
- fflush(stdout);
-
- if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0))
- ABORT;
- if (!BN_add(z, x, y))
- ABORT;
- BN_set_negative(z, 1);
- scalars[0] = x;
- scalars[1] = y;
- scalars[2] = z; /* z = -(x+y) */
-
- scalar3 = BN_new();
- if (!scalar3)
- ABORT;
- BN_zero(scalar3);
- scalars[3] = scalar3;
-
- if (!EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx))
- ABORT;
- if (!EC_POINT_is_at_infinity(group, P))
- ABORT;
-
- fprintf(stdout, " ok\n\n");
-
- BN_free(scalar3);
- }
-
- if (ctx)
- BN_CTX_free(ctx);
- BN_free(p);
- BN_free(a);
- BN_free(b);
- EC_GROUP_free(group);
- EC_POINT_free(P);
- EC_POINT_free(Q);
- EC_POINT_free(R);
- BN_free(x);
- BN_free(y);
- BN_free(z);
-
- EC_GROUP_free(P_160);
- EC_GROUP_free(P_192);
- EC_GROUP_free(P_224);
- EC_GROUP_free(P_256);
- EC_GROUP_free(P_384);
- EC_GROUP_free(P_521);
-
-}
-
-/* Change test based on whether binary point compression is enabled or not. */
-# ifdef OPENSSL_EC_BIN_PT_COMP
-# define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
- if (!BN_hex2bn(&x, _x)) ABORT; \
- if (!EC_POINT_set_compressed_coordinates_GF2m(group, P, x, _y_bit, ctx)) ABORT; \
- if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \
- if (!BN_hex2bn(&z, _order)) ABORT; \
- if (!BN_hex2bn(&cof, _cof)) ABORT; \
- if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
- if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
- fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \
- BN_print_fp(stdout, x); \
- fprintf(stdout, "\n y = 0x"); \
- BN_print_fp(stdout, y); \
- fprintf(stdout, "\n"); \
- /* G_y value taken from the standard: */ \
- if (!BN_hex2bn(&z, _y)) ABORT; \
- if (0 != BN_cmp(y, z)) ABORT;
-# else
-# define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
- if (!BN_hex2bn(&x, _x)) ABORT; \
- if (!BN_hex2bn(&y, _y)) ABORT; \
- if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \
- if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \
- if (!BN_hex2bn(&z, _order)) ABORT; \
- if (!BN_hex2bn(&cof, _cof)) ABORT; \
- if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \
- fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \
- BN_print_fp(stdout, x); \
- fprintf(stdout, "\n y = 0x"); \
- BN_print_fp(stdout, y); \
- fprintf(stdout, "\n");
-# endif
-
-# define CHAR2_CURVE_TEST(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
- if (!BN_hex2bn(&p, _p)) ABORT; \
- if (!BN_hex2bn(&a, _a)) ABORT; \
- if (!BN_hex2bn(&b, _b)) ABORT; \
- if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; \
- CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \
- fprintf(stdout, "verify degree ..."); \
- if (EC_GROUP_get_degree(group) != _degree) ABORT; \
- fprintf(stdout, " ok\n"); \
- group_order_tests(group); \
- if (!(_variable = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; \
- if (!EC_GROUP_copy(_variable, group)) ABORT; \
-
-# ifndef OPENSSL_NO_EC2M
-
-static void char2_field_tests(void)
-{
- BN_CTX *ctx = NULL;
- BIGNUM *p, *a, *b;
- EC_GROUP *group;
- EC_GROUP *C2_K163 = NULL, *C2_K233 = NULL, *C2_K283 = NULL, *C2_K409 =
- NULL, *C2_K571 = NULL;
- EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 =
- NULL, *C2_B571 = NULL;
- EC_POINT *P, *Q, *R;
- BIGNUM *x, *y, *z, *cof;
- unsigned char buf[100];
- size_t i, len;
- int k;
-
- ctx = BN_CTX_new();
- if (!ctx)
- ABORT;
-
- p = BN_new();
- a = BN_new();
- b = BN_new();
- if (!p || !a || !b)
- ABORT;
-
- if (!BN_hex2bn(&p, "13"))
- ABORT;
- if (!BN_hex2bn(&a, "3"))
- ABORT;
- if (!BN_hex2bn(&b, "1"))
- ABORT;
-
- group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use
- * EC_GROUP_new_curve_GF2m
- * so that the library gets
- * to choose the EC_METHOD */
- if (!group)
- ABORT;
- if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx))
- ABORT;
-
- {
- EC_GROUP *tmp;
- tmp = EC_GROUP_new(EC_GROUP_method_of(group));
- if (!tmp)
- ABORT;
- if (!EC_GROUP_copy(tmp, group))
- ABORT;
- EC_GROUP_free(group);
- group = tmp;
- }
-
- if (!EC_GROUP_get_curve_GF2m(group, p, a, b, ctx))
- ABORT;
-
- fprintf(stdout,
- "Curve defined by Weierstrass equation\n y^2 + x*y = x^3 + a*x^2 + b (mod 0x");
- BN_print_fp(stdout, p);
- fprintf(stdout, ")\n a = 0x");
- BN_print_fp(stdout, a);
- fprintf(stdout, "\n b = 0x");
- BN_print_fp(stdout, b);
- fprintf(stdout, "\n(0x... means binary polynomial)\n");
-
- P = EC_POINT_new(group);
- Q = EC_POINT_new(group);
- R = EC_POINT_new(group);
- if (!P || !Q || !R)
- ABORT;
-
- if (!EC_POINT_set_to_infinity(group, P))
- ABORT;
- if (!EC_POINT_is_at_infinity(group, P))
- ABORT;
-
- buf[0] = 0;
- if (!EC_POINT_oct2point(group, Q, buf, 1, ctx))
- ABORT;
-
- if (!EC_POINT_add(group, P, P, Q, ctx))
- ABORT;
- if (!EC_POINT_is_at_infinity(group, P))
- ABORT;
-
- x = BN_new();
- y = BN_new();
- z = BN_new();
- cof = BN_new();
- if (!x || !y || !z || !cof)
- ABORT;
-
- if (!BN_hex2bn(&x, "6"))
- ABORT;
-/* Change test based on whether binary point compression is enabled or not. */
-# ifdef OPENSSL_EC_BIN_PT_COMP
- if (!EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, ctx))
- ABORT;
-# else
- if (!BN_hex2bn(&y, "8"))
- ABORT;
- if (!EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx))
- ABORT;
-# endif
- if (!EC_POINT_is_on_curve(group, Q, ctx)) {
-/* Change test based on whether binary point compression is enabled or not. */
-# ifdef OPENSSL_EC_BIN_PT_COMP
- if (!EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y, ctx))
- ABORT;
-# endif
- fprintf(stderr, "Point is not on curve: x = 0x");
- BN_print_fp(stderr, x);
- fprintf(stderr, ", y = 0x");
- BN_print_fp(stderr, y);
- fprintf(stderr, "\n");
- ABORT;
- }
-
- fprintf(stdout, "A cyclic subgroup:\n");
- k = 100;
- do {
- if (k-- == 0)
- ABORT;
-
- if (EC_POINT_is_at_infinity(group, P))
- fprintf(stdout, " point at infinity\n");
- else {
- if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx))