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1546 lines
62 KiB
1546 lines
62 KiB
/* |
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* Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved. |
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* Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved |
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* |
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* Licensed under the OpenSSL license (the "License"). You may not use |
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* this file except in compliance with the License. You can obtain a copy |
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* in the file LICENSE in the source distribution or at |
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* https://www.openssl.org/source/license.html |
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*/ |
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|
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#include "internal/nelem.h" |
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#include "testutil.h" |
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|
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#ifndef OPENSSL_NO_EC |
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# include <openssl/ec.h> |
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# ifndef OPENSSL_NO_ENGINE |
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# include <openssl/engine.h> |
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# endif |
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# include <openssl/err.h> |
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# include <openssl/obj_mac.h> |
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# include <openssl/objects.h> |
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# include <openssl/rand.h> |
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# include <openssl/bn.h> |
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# include <openssl/opensslconf.h> |
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|
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static size_t crv_len = 0; |
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static EC_builtin_curve *curves = NULL; |
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|
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/* test multiplication with group order, long and negative scalars */ |
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static int group_order_tests(EC_GROUP *group) |
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{ |
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BIGNUM *n1 = NULL, *n2 = NULL, *order = NULL; |
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EC_POINT *P = NULL, *Q = NULL, *R = NULL, *S = NULL; |
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const EC_POINT *G = NULL; |
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BN_CTX *ctx = NULL; |
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int i = 0, r = 0; |
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|
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if (!TEST_ptr(n1 = BN_new()) |
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|| !TEST_ptr(n2 = BN_new()) |
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|| !TEST_ptr(order = BN_new()) |
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|| !TEST_ptr(ctx = BN_CTX_new()) |
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|| !TEST_ptr(G = EC_GROUP_get0_generator(group)) |
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|| !TEST_ptr(P = EC_POINT_new(group)) |
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|| !TEST_ptr(Q = EC_POINT_new(group)) |
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|| !TEST_ptr(R = EC_POINT_new(group)) |
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|| !TEST_ptr(S = EC_POINT_new(group))) |
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goto err; |
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|
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if (!TEST_true(EC_GROUP_get_order(group, order, ctx)) |
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|| !TEST_true(EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) |
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|| !TEST_true(EC_POINT_is_at_infinity(group, Q)) |
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|| !TEST_true(EC_GROUP_precompute_mult(group, ctx)) |
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|| !TEST_true(EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) |
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|| !TEST_true(EC_POINT_is_at_infinity(group, Q)) |
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|| !TEST_true(EC_POINT_copy(P, G)) |
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|| !TEST_true(BN_one(n1)) |
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|| !TEST_true(EC_POINT_mul(group, Q, n1, NULL, NULL, ctx)) |
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|| !TEST_int_eq(0, EC_POINT_cmp(group, Q, P, ctx)) |
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|| !TEST_true(BN_sub(n1, order, n1)) |
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|| !TEST_true(EC_POINT_mul(group, Q, n1, NULL, NULL, ctx)) |
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|| !TEST_true(EC_POINT_invert(group, Q, ctx)) |
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|| !TEST_int_eq(0, EC_POINT_cmp(group, Q, P, ctx))) |
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goto err; |
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|
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for (i = 1; i <= 2; i++) { |
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const BIGNUM *scalars[6]; |
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const EC_POINT *points[6]; |
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|
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if (!TEST_true(BN_set_word(n1, i)) |
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/* |
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* If i == 1, P will be the predefined generator for which |
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* EC_GROUP_precompute_mult has set up precomputation. |
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*/ |
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|| !TEST_true(EC_POINT_mul(group, P, n1, NULL, NULL, ctx)) |
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|| (i == 1 && !TEST_int_eq(0, EC_POINT_cmp(group, P, G, ctx))) |
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|| !TEST_true(BN_one(n1)) |
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/* n1 = 1 - order */ |
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|| !TEST_true(BN_sub(n1, n1, order)) |
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|| !TEST_true(EC_POINT_mul(group, Q, NULL, P, n1, ctx)) |
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|| !TEST_int_eq(0, EC_POINT_cmp(group, Q, P, ctx)) |
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|
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/* n2 = 1 + order */ |
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|| !TEST_true(BN_add(n2, order, BN_value_one())) |
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|| !TEST_true(EC_POINT_mul(group, Q, NULL, P, n2, ctx)) |
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|| !TEST_int_eq(0, EC_POINT_cmp(group, Q, P, ctx)) |
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|
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/* n2 = (1 - order) * (1 + order) = 1 - order^2 */ |
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|| !TEST_true(BN_mul(n2, n1, n2, ctx)) |
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|| !TEST_true(EC_POINT_mul(group, Q, NULL, P, n2, ctx)) |
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|| !TEST_int_eq(0, EC_POINT_cmp(group, Q, P, ctx))) |
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goto err; |
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|
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/* n2 = order^2 - 1 */ |
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BN_set_negative(n2, 0); |
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if (!TEST_true(EC_POINT_mul(group, Q, NULL, P, n2, ctx)) |
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/* Add P to verify the result. */ |
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|| !TEST_true(EC_POINT_add(group, Q, Q, P, ctx)) |
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|| !TEST_true(EC_POINT_is_at_infinity(group, Q)) |
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|
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/* Exercise EC_POINTs_mul, including corner cases. */ |
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|| !TEST_false(EC_POINT_is_at_infinity(group, P))) |
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goto err; |
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|
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scalars[0] = scalars[1] = BN_value_one(); |
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points[0] = points[1] = P; |
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|
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if (!TEST_true(EC_POINTs_mul(group, R, NULL, 2, points, scalars, ctx)) |
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|| !TEST_true(EC_POINT_dbl(group, S, points[0], ctx)) |
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|| !TEST_int_eq(0, EC_POINT_cmp(group, R, S, ctx))) |
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goto err; |
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|
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scalars[0] = n1; |
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points[0] = Q; /* => infinity */ |
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scalars[1] = n2; |
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points[1] = P; /* => -P */ |
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scalars[2] = n1; |
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points[2] = Q; /* => infinity */ |
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scalars[3] = n2; |
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points[3] = Q; /* => infinity */ |
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scalars[4] = n1; |
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points[4] = P; /* => P */ |
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scalars[5] = n2; |
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points[5] = Q; /* => infinity */ |
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if (!TEST_true(EC_POINTs_mul(group, P, NULL, 6, points, scalars, ctx)) |
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|| !TEST_true(EC_POINT_is_at_infinity(group, P))) |
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goto err; |
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} |
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|
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r = 1; |
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err: |
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if (r == 0 && i != 0) |
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TEST_info(i == 1 ? "allowing precomputation" : |
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"without precomputation"); |
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EC_POINT_free(P); |
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EC_POINT_free(Q); |
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EC_POINT_free(R); |
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EC_POINT_free(S); |
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BN_free(n1); |
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BN_free(n2); |
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BN_free(order); |
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BN_CTX_free(ctx); |
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return r; |
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} |
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|
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static int prime_field_tests(void) |
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{ |
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BN_CTX *ctx = NULL; |
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BIGNUM *p = NULL, *a = NULL, *b = NULL, *scalar3 = NULL; |
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EC_GROUP *group = NULL, *tmp = NULL; |
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EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, |
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*P_256 = NULL, *P_384 = NULL, *P_521 = NULL; |
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EC_POINT *P = NULL, *Q = NULL, *R = NULL; |
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BIGNUM *x = NULL, *y = NULL, *z = NULL, *yplusone = NULL; |
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const EC_POINT *points[4]; |
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const BIGNUM *scalars[4]; |
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unsigned char buf[100]; |
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size_t len, r = 0; |
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int k; |
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|
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if (!TEST_ptr(ctx = BN_CTX_new()) |
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|| !TEST_ptr(p = BN_new()) |
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|| !TEST_ptr(a = BN_new()) |
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|| !TEST_ptr(b = BN_new()) |
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/* |
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* applications should use EC_GROUP_new_curve_GFp so |
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* that the library gets to choose the EC_METHOD |
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*/ |
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|| !TEST_ptr(group = EC_GROUP_new(EC_GFp_mont_method())) |
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|| !TEST_ptr(tmp = EC_GROUP_new(EC_GROUP_method_of(group))) |
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|| !TEST_true(EC_GROUP_copy(tmp, group))) |
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goto err; |
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EC_GROUP_free(group); |
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group = tmp; |
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tmp = NULL; |
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|
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buf[0] = 0; |
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if (!TEST_ptr(P = EC_POINT_new(group)) |
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|| !TEST_ptr(Q = EC_POINT_new(group)) |
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|| !TEST_ptr(R = EC_POINT_new(group)) |
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|| !TEST_ptr(x = BN_new()) |
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|| !TEST_ptr(y = BN_new()) |
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|| !TEST_ptr(z = BN_new()) |
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|| !TEST_ptr(yplusone = BN_new())) |
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goto err; |
|
|
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/* Curve P-224 (FIPS PUB 186-2, App. 6) */ |
|
|
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if (!TEST_true(BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFF" |
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"FFFFFFFF000000000000000000000001")) |
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|| !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) |
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|| !TEST_true(BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFF" |
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"FFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE")) |
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|| !TEST_true(BN_hex2bn(&b, "B4050A850C04B3ABF5413256" |
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"5044B0B7D7BFD8BA270B39432355FFB4")) |
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|| !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx)) |
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|| !TEST_true(BN_hex2bn(&x, "B70E0CBD6BB4BF7F321390B9" |
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"4A03C1D356C21122343280D6115C1D21")) |
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|| !TEST_true(EC_POINT_set_compressed_coordinates(group, P, x, 0, ctx)) |
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|| !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0) |
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|| !TEST_true(BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF" |
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"FFFF16A2E0B8F03E13DD29455C5C2A3D")) |
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|| !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one())) |
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|| !TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y, ctx))) |
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goto err; |
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|
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TEST_info("NIST curve P-224 -- Generator"); |
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test_output_bignum("x", x); |
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test_output_bignum("y", y); |
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/* G_y value taken from the standard: */ |
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if (!TEST_true(BN_hex2bn(&z, "BD376388B5F723FB4C22DFE6" |
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"CD4375A05A07476444D5819985007E34")) |
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|| !TEST_BN_eq(y, z) |
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|| !TEST_true(BN_add(yplusone, y, BN_value_one())) |
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/* |
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* When (x, y) is on the curve, (x, y + 1) is, as it happens, not, |
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* and therefore setting the coordinates should fail. |
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*/ |
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|| !TEST_false(EC_POINT_set_affine_coordinates(group, P, x, yplusone, |
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ctx)) |
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|| !TEST_int_eq(EC_GROUP_get_degree(group), 224) |
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|| !group_order_tests(group) |
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|| !TEST_ptr(P_224 = EC_GROUP_new(EC_GROUP_method_of(group))) |
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|| !TEST_true(EC_GROUP_copy(P_224, group)) |
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|
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/* Curve P-256 (FIPS PUB 186-2, App. 6) */ |
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|
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|| !TEST_true(BN_hex2bn(&p, "FFFFFFFF000000010000000000000000" |
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"00000000FFFFFFFFFFFFFFFFFFFFFFFF")) |
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|| !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) |
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|| !TEST_true(BN_hex2bn(&a, "FFFFFFFF000000010000000000000000" |
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"00000000FFFFFFFFFFFFFFFFFFFFFFFC")) |
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|| !TEST_true(BN_hex2bn(&b, "5AC635D8AA3A93E7B3EBBD55769886BC" |
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"651D06B0CC53B0F63BCE3C3E27D2604B")) |
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|| !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx)) |
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|
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|| !TEST_true(BN_hex2bn(&x, "6B17D1F2E12C4247F8BCE6E563A440F2" |
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"77037D812DEB33A0F4A13945D898C296")) |
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|| !TEST_true(EC_POINT_set_compressed_coordinates(group, P, x, 1, ctx)) |
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|| !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0) |
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|| !TEST_true(BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFF" |
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"BCE6FAADA7179E84F3B9CAC2FC632551")) |
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|| !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one())) |
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|| !TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y, ctx))) |
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goto err; |
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|
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TEST_info("NIST curve P-256 -- Generator"); |
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test_output_bignum("x", x); |
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test_output_bignum("y", y); |
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/* G_y value taken from the standard: */ |
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if (!TEST_true(BN_hex2bn(&z, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E16" |
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"2BCE33576B315ECECBB6406837BF51F5")) |
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|| !TEST_BN_eq(y, z) |
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|| !TEST_true(BN_add(yplusone, y, BN_value_one())) |
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/* |
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* When (x, y) is on the curve, (x, y + 1) is, as it happens, not, |
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* and therefore setting the coordinates should fail. |
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*/ |
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|| !TEST_false(EC_POINT_set_affine_coordinates(group, P, x, yplusone, |
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ctx)) |
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|| !TEST_int_eq(EC_GROUP_get_degree(group), 256) |
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|| !group_order_tests(group) |
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|| !TEST_ptr(P_256 = EC_GROUP_new(EC_GROUP_method_of(group))) |
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|| !TEST_true(EC_GROUP_copy(P_256, group)) |
|
|
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/* Curve P-384 (FIPS PUB 186-2, App. 6) */ |
|
|
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|| !TEST_true(BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" |
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"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE" |
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"FFFFFFFF0000000000000000FFFFFFFF")) |
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|| !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) |
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|| !TEST_true(BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" |
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"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE" |
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"FFFFFFFF0000000000000000FFFFFFFC")) |
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|| !TEST_true(BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19" |
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"181D9C6EFE8141120314088F5013875A" |
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"C656398D8A2ED19D2A85C8EDD3EC2AEF")) |
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|| !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx)) |
|
|
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|| !TEST_true(BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD74" |
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"6E1D3B628BA79B9859F741E082542A38" |
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"5502F25DBF55296C3A545E3872760AB7")) |
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|| !TEST_true(EC_POINT_set_compressed_coordinates(group, P, x, 1, ctx)) |
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|| !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0) |
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|| !TEST_true(BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" |
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"FFFFFFFFFFFFFFFFC7634D81F4372DDF" |
|
"581A0DB248B0A77AECEC196ACCC52973")) |
|
|| !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one())) |
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|| !TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y, ctx))) |
|
goto err; |
|
|
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TEST_info("NIST curve P-384 -- Generator"); |
|
test_output_bignum("x", x); |
|
test_output_bignum("y", y); |
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/* G_y value taken from the standard: */ |
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if (!TEST_true(BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29" |
|
"F8F41DBD289A147CE9DA3113B5F0B8C0" |
|
"0A60B1CE1D7E819D7A431D7C90EA0E5F")) |
|
|| !TEST_BN_eq(y, z) |
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|| !TEST_true(BN_add(yplusone, y, BN_value_one())) |
|
/* |
|
* When (x, y) is on the curve, (x, y + 1) is, as it happens, not, |
|
* and therefore setting the coordinates should fail. |
|
*/ |
|
|| !TEST_false(EC_POINT_set_affine_coordinates(group, P, x, yplusone, |
|
ctx)) |
|
|| !TEST_int_eq(EC_GROUP_get_degree(group), 384) |
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|| !group_order_tests(group) |
|
|| !TEST_ptr(P_384 = EC_GROUP_new(EC_GROUP_method_of(group))) |
|
|| !TEST_true(EC_GROUP_copy(P_384, group)) |
|
|
|
/* Curve P-521 (FIPS PUB 186-2, App. 6) */ |
|
|| !TEST_true(BN_hex2bn(&p, "1FF" |
|
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" |
|
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" |
|
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" |
|
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF")) |
|
|| !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) |
|
|| !TEST_true(BN_hex2bn(&a, "1FF" |
|
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" |
|
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" |
|
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" |
|
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC")) |
|
|| !TEST_true(BN_hex2bn(&b, "051" |
|
"953EB9618E1C9A1F929A21A0B68540EE" |
|
"A2DA725B99B315F3B8B489918EF109E1" |
|
"56193951EC7E937B1652C0BD3BB1BF07" |
|
"3573DF883D2C34F1EF451FD46B503F00")) |
|
|| !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx)) |
|
|| !TEST_true(BN_hex2bn(&x, "C6" |
|
"858E06B70404E9CD9E3ECB662395B442" |
|
"9C648139053FB521F828AF606B4D3DBA" |
|
"A14B5E77EFE75928FE1DC127A2FFA8DE" |
|
"3348B3C1856A429BF97E7E31C2E5BD66")) |
|
|| !TEST_true(EC_POINT_set_compressed_coordinates(group, P, x, 0, ctx)) |
|
|| !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0) |
|
|| !TEST_true(BN_hex2bn(&z, "1FF" |
|
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" |
|
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA" |
|
"51868783BF2F966B7FCC0148F709A5D0" |
|
"3BB5C9B8899C47AEBB6FB71E91386409")) |
|
|| !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one())) |
|
|| !TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y, ctx))) |
|
goto err; |
|
|
|
TEST_info("NIST curve P-521 -- Generator"); |
|
test_output_bignum("x", x); |
|
test_output_bignum("y", y); |
|
/* G_y value taken from the standard: */ |
|
if (!TEST_true(BN_hex2bn(&z, "118" |
|
"39296A789A3BC0045C8A5FB42C7D1BD9" |
|
"98F54449579B446817AFBD17273E662C" |
|
"97EE72995EF42640C550B9013FAD0761" |
|
"353C7086A272C24088BE94769FD16650")) |
|
|| !TEST_BN_eq(y, z) |
|
|| !TEST_true(BN_add(yplusone, y, BN_value_one())) |
|
/* |
|
* When (x, y) is on the curve, (x, y + 1) is, as it happens, not, |
|
* and therefore setting the coordinates should fail. |
|
*/ |
|
|| !TEST_false(EC_POINT_set_affine_coordinates(group, P, x, yplusone, |
|
ctx)) |
|
|| !TEST_int_eq(EC_GROUP_get_degree(group), 521) |
|
|| !group_order_tests(group) |
|
|| !TEST_ptr(P_521 = EC_GROUP_new(EC_GROUP_method_of(group))) |
|
|| !TEST_true(EC_GROUP_copy(P_521, group)) |
|
|
|
/* more tests using the last curve */ |
|
|
|
/* Restore the point that got mangled in the (x, y + 1) test. */ |
|
|| !TEST_true(EC_POINT_set_affine_coordinates(group, P, x, y, ctx)) |
|
|| !TEST_true(EC_POINT_copy(Q, P)) |
|
|| !TEST_false(EC_POINT_is_at_infinity(group, Q)) |
|
|| !TEST_true(EC_POINT_dbl(group, P, P, ctx)) |
|
|| !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0) |
|
|| !TEST_true(EC_POINT_invert(group, Q, ctx)) /* P = -2Q */ |
|
|| !TEST_true(EC_POINT_add(group, R, P, Q, ctx)) |
|
|| !TEST_true(EC_POINT_add(group, R, R, Q, ctx)) |
|
|| !TEST_true(EC_POINT_is_at_infinity(group, R)) /* R = P + 2Q */ |
|
|| !TEST_false(EC_POINT_is_at_infinity(group, Q))) |
|
goto err; |
|
points[0] = Q; |
|
points[1] = Q; |
|
points[2] = Q; |
|
points[3] = Q; |
|
|
|
if (!TEST_true(EC_GROUP_get_order(group, z, ctx)) |
|
|| !TEST_true(BN_add(y, z, BN_value_one())) |
|
|| !TEST_BN_even(y) |
|
|| !TEST_true(BN_rshift1(y, y))) |
|
goto err; |
|
scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */ |
|
scalars[1] = y; |
|
|
|
TEST_note("combined multiplication ..."); |
|
|
|
/* z is still the group order */ |
|
if (!TEST_true(EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) |
|
|| !TEST_true(EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) |
|
|| !TEST_int_eq(0, EC_POINT_cmp(group, P, R, ctx)) |
|
|| !TEST_int_eq(0, EC_POINT_cmp(group, R, Q, ctx)) |
|
|| !TEST_true(BN_rand(y, BN_num_bits(y), 0, 0)) |
|
|| !TEST_true(BN_add(z, z, y))) |
|
goto err; |
|
BN_set_negative(z, 1); |
|
scalars[0] = y; |
|
scalars[1] = z; /* z = -(order + y) */ |
|
|
|
if (!TEST_true(EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) |
|
|| !TEST_true(EC_POINT_is_at_infinity(group, P)) |
|
|| !TEST_true(BN_rand(x, BN_num_bits(y) - 1, 0, 0)) |
|
|| !TEST_true(BN_add(z, x, y))) |
|
goto err; |
|
BN_set_negative(z, 1); |
|
scalars[0] = x; |
|
scalars[1] = y; |
|
scalars[2] = z; /* z = -(x+y) */ |
|
|
|
if (!TEST_ptr(scalar3 = BN_new())) |
|
goto err; |
|
BN_zero(scalar3); |
|
scalars[3] = scalar3; |
|
|
|
if (!TEST_true(EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx)) |
|
|| !TEST_true(EC_POINT_is_at_infinity(group, P))) |
|
goto err; |
|
|
|
TEST_note(" ok\n"); |
|
|
|
|
|
r = 1; |
|
err: |
|
BN_CTX_free(ctx); |
|
BN_free(p); |
|
BN_free(a); |
|
BN_free(b); |
|
EC_GROUP_free(group); |
|
EC_GROUP_free(tmp); |
|
EC_POINT_free(P); |
|
EC_POINT_free(Q); |
|
EC_POINT_free(R); |
|
BN_free(x); |
|
BN_free(y); |
|
BN_free(z); |
|
BN_free(yplusone); |
|
BN_free(scalar3); |
|
|
|
EC_GROUP_free(P_224); |
|
EC_GROUP_free(P_256); |
|
EC_GROUP_free(P_384); |
|
EC_GROUP_free(P_521); |
|
return r; |
|
} |
|
|
|
static int internal_curve_test(int n) |
|
{ |
|
EC_GROUP *group = NULL; |
|
int nid = curves[n].nid; |
|
|
|
if (!TEST_ptr(group = EC_GROUP_new_by_curve_name(nid))) { |
|
TEST_info("EC_GROUP_new_curve_name() failed with curve %s\n", |
|
OBJ_nid2sn(nid)); |
|
return 0; |
|
} |
|
if (!TEST_true(EC_GROUP_check(group, NULL))) { |
|
TEST_info("EC_GROUP_check() failed with curve %s\n", OBJ_nid2sn(nid)); |
|
EC_GROUP_free(group); |
|
return 0; |
|
} |
|
EC_GROUP_free(group); |
|
return 1; |
|
} |
|
|
|
static int internal_curve_test_method(int n) |
|
{ |
|
int r, nid = curves[n].nid; |
|
EC_GROUP *group; |
|
|
|
if (!TEST_ptr(group = EC_GROUP_new_by_curve_name(nid))) { |
|
TEST_info("Curve %s failed\n", OBJ_nid2sn(nid)); |
|
return 0; |
|
} |
|
r = group_order_tests(group); |
|
EC_GROUP_free(group); |
|
return r; |
|
} |
|
|
|
# ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 |
|
/* |
|
* nistp_test_params contains magic numbers for testing our optimized |
|
* implementations of several NIST curves with characteristic > 3. |
|
*/ |
|
struct nistp_test_params { |
|
const EC_METHOD *(*meth) (void); |
|
int degree; |
|
/* |
|
* Qx, Qy and D are taken from |
|
* http://csrc.nist.gov/groups/ST/toolkit/documents/Examples/ECDSA_Prime.pdf |
|
* Otherwise, values are standard curve parameters from FIPS 180-3 |
|
*/ |
|
const char *p, *a, *b, *Qx, *Qy, *Gx, *Gy, *order, *d; |
|
}; |
|
|
|
static const struct nistp_test_params nistp_tests_params[] = { |
|
{ |
|
/* P-224 */ |
|
EC_GFp_nistp224_method, |
|
224, |
|
/* p */ |
|
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", |
|
/* a */ |
|
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", |
|
/* b */ |
|
"B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", |
|
/* Qx */ |
|
"E84FB0B8E7000CB657D7973CF6B42ED78B301674276DF744AF130B3E", |
|
/* Qy */ |
|
"4376675C6FC5612C21A0FF2D2A89D2987DF7A2BC52183B5982298555", |
|
/* Gx */ |
|
"B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", |
|
/* Gy */ |
|
"BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34", |
|
/* order */ |
|
"FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", |
|
/* d */ |
|
"3F0C488E987C80BE0FEE521F8D90BE6034EC69AE11CA72AA777481E8", |
|
}, |
|
{ |
|
/* P-256 */ |
|
EC_GFp_nistp256_method, |
|
256, |
|
/* p */ |
|
"ffffffff00000001000000000000000000000000ffffffffffffffffffffffff", |
|
/* a */ |
|
"ffffffff00000001000000000000000000000000fffffffffffffffffffffffc", |
|
/* b */ |
|
"5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b", |
|
/* Qx */ |
|
"b7e08afdfe94bad3f1dc8c734798ba1c62b3a0ad1e9ea2a38201cd0889bc7a19", |
|
/* Qy */ |
|
"3603f747959dbf7a4bb226e41928729063adc7ae43529e61b563bbc606cc5e09", |
|
/* Gx */ |
|
"6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296", |
|
/* Gy */ |
|
"4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5", |
|
/* order */ |
|
"ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551", |
|
/* d */ |
|
"c477f9f65c22cce20657faa5b2d1d8122336f851a508a1ed04e479c34985bf96", |
|
}, |
|
{ |
|
/* P-521 */ |
|
EC_GFp_nistp521_method, |
|
521, |
|
/* p */ |
|
"1ff" |
|
"ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff" |
|
"ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", |
|
/* a */ |
|
"1ff" |
|
"ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff" |
|
"fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc", |
|
/* b */ |
|
"051" |
|
"953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e1" |
|
"56193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00", |
|
/* Qx */ |
|
"0098" |
|
"e91eef9a68452822309c52fab453f5f117c1da8ed796b255e9ab8f6410cca16e" |
|
"59df403a6bdc6ca467a37056b1e54b3005d8ac030decfeb68df18b171885d5c4", |
|
/* Qy */ |
|
"0164" |
|
"350c321aecfc1cca1ba4364c9b15656150b4b78d6a48d7d28e7f31985ef17be8" |
|
"554376b72900712c4b83ad668327231526e313f5f092999a4632fd50d946bc2e", |
|
/* Gx */ |
|
"c6" |
|
"858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dba" |
|
"a14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66", |
|
/* Gy */ |
|
"118" |
|
"39296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c" |
|
"97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650", |
|
/* order */ |
|
"1ff" |
|
"fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa" |
|
"51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409", |
|
/* d */ |
|
"0100" |
|
"085f47b8e1b8b11b7eb33028c0b2888e304bfc98501955b45bba1478dc184eee" |
|
"df09b86a5f7c21994406072787205e69a63709fe35aa93ba333514b24f961722", |
|
}, |
|
}; |
|
|
|
static int nistp_single_test(int idx) |
|
{ |
|
const struct nistp_test_params *test = nistp_tests_params + idx; |
|
BN_CTX *ctx = NULL; |
|
BIGNUM *p = NULL, *a = NULL, *b = NULL, *x = NULL, *y = NULL; |
|
BIGNUM *n = NULL, *m = NULL, *order = NULL, *yplusone = NULL; |
|
EC_GROUP *NISTP = NULL; |
|
EC_POINT *G = NULL, *P = NULL, *Q = NULL, *Q_CHECK = NULL; |
|
int r = 0; |
|
|
|
TEST_note("NIST curve P-%d (optimised implementation):", |
|
test->degree); |
|
if (!TEST_ptr(ctx = BN_CTX_new()) |
|
|| !TEST_ptr(p = BN_new()) |
|
|| !TEST_ptr(a = BN_new()) |
|
|| !TEST_ptr(b = BN_new()) |
|
|| !TEST_ptr(x = BN_new()) |
|
|| !TEST_ptr(y = BN_new()) |
|
|| !TEST_ptr(m = BN_new()) |
|
|| !TEST_ptr(n = BN_new()) |
|
|| !TEST_ptr(order = BN_new()) |
|
|| !TEST_ptr(yplusone = BN_new()) |
|
|
|
|| !TEST_ptr(NISTP = EC_GROUP_new(test->meth())) |
|
|| !TEST_true(BN_hex2bn(&p, test->p)) |
|
|| !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) |
|
|| !TEST_true(BN_hex2bn(&a, test->a)) |
|
|| !TEST_true(BN_hex2bn(&b, test->b)) |
|
|| !TEST_true(EC_GROUP_set_curve(NISTP, p, a, b, ctx)) |
|
|| !TEST_ptr(G = EC_POINT_new(NISTP)) |
|
|| !TEST_ptr(P = EC_POINT_new(NISTP)) |
|
|| !TEST_ptr(Q = EC_POINT_new(NISTP)) |
|
|| !TEST_ptr(Q_CHECK = EC_POINT_new(NISTP)) |
|
|| !TEST_true(BN_hex2bn(&x, test->Qx)) |
|
|| !TEST_true(BN_hex2bn(&y, test->Qy)) |
|
|| !TEST_true(BN_add(yplusone, y, BN_value_one())) |
|
/* |
|
* When (x, y) is on the curve, (x, y + 1) is, as it happens, not, |
|
* and therefore setting the coordinates should fail. |
|
*/ |
|
|| !TEST_false(EC_POINT_set_affine_coordinates(NISTP, Q_CHECK, x, |
|
yplusone, ctx)) |
|
|| !TEST_true(EC_POINT_set_affine_coordinates(NISTP, Q_CHECK, x, y, |
|
ctx)) |
|
|| !TEST_true(BN_hex2bn(&x, test->Gx)) |
|
|| !TEST_true(BN_hex2bn(&y, test->Gy)) |
|
|| !TEST_true(EC_POINT_set_affine_coordinates(NISTP, G, x, y, ctx)) |
|
|| !TEST_true(BN_hex2bn(&order, test->order)) |
|
|| !TEST_true(EC_GROUP_set_generator(NISTP, G, order, BN_value_one())) |
|
|| !TEST_int_eq(EC_GROUP_get_degree(NISTP), test->degree)) |
|
goto err; |
|
|
|
TEST_note("NIST test vectors ... "); |
|
if (!TEST_true(BN_hex2bn(&n, test->d))) |
|
goto err; |
|
/* fixed point multiplication */ |
|
EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx); |
|
if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))) |
|
goto err; |
|
/* random point multiplication */ |
|
EC_POINT_mul(NISTP, Q, NULL, G, n, ctx); |
|
if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) |
|
|
|
/* set generator to P = 2*G, where G is the standard generator */ |
|
|| !TEST_true(EC_POINT_dbl(NISTP, P, G, ctx)) |
|
|| !TEST_true(EC_GROUP_set_generator(NISTP, P, order, BN_value_one())) |
|
/* set the scalar to m=n/2, where n is the NIST test scalar */ |
|
|| !TEST_true(BN_rshift(m, n, 1))) |
|
goto err; |
|
|
|
/* test the non-standard generator */ |
|
/* fixed point multiplication */ |
|
EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx); |
|
if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))) |
|
goto err; |
|
/* random point multiplication */ |
|
EC_POINT_mul(NISTP, Q, NULL, P, m, ctx); |
|
if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) |
|
|
|
/* |
|
* We have not performed precomputation so have_precompute mult should be |
|
* false |
|
*/ |
|
|| !TEST_false(EC_GROUP_have_precompute_mult(NISTP)) |
|
|
|
/* now repeat all tests with precomputation */ |
|
|| !TEST_true(EC_GROUP_precompute_mult(NISTP, ctx)) |
|
|| !TEST_true(EC_GROUP_have_precompute_mult(NISTP))) |
|
goto err; |
|
|
|
/* fixed point multiplication */ |
|
EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx); |
|
if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))) |
|
goto err; |
|
/* random point multiplication */ |
|
EC_POINT_mul(NISTP, Q, NULL, P, m, ctx); |
|
if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) |
|
|
|
/* reset generator */ |
|
|| !TEST_true(EC_GROUP_set_generator(NISTP, G, order, BN_value_one()))) |
|
goto err; |
|
/* fixed point multiplication */ |
|
EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx); |
|
if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))) |
|
goto err; |
|
/* random point multiplication */ |
|
EC_POINT_mul(NISTP, Q, NULL, G, n, ctx); |
|
if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))) |
|
goto err; |
|
|
|
/* regression test for felem_neg bug */ |
|
if (!TEST_true(BN_set_word(m, 32)) |
|
|| !TEST_true(BN_set_word(n, 31)) |
|
|| !TEST_true(EC_POINT_copy(P, G)) |
|
|| !TEST_true(EC_POINT_invert(NISTP, P, ctx)) |
|
|| !TEST_true(EC_POINT_mul(NISTP, Q, m, P, n, ctx)) |
|
|| !TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, G, ctx))) |
|
goto err; |
|
|
|
r = group_order_tests(NISTP); |
|
err: |
|
EC_GROUP_free(NISTP); |
|
EC_POINT_free(G); |
|
EC_POINT_free(P); |
|
EC_POINT_free(Q); |
|
EC_POINT_free(Q_CHECK); |
|
BN_free(n); |
|
BN_free(m); |
|
BN_free(p); |
|
BN_free(a); |
|
BN_free(b); |
|
BN_free(x); |
|
BN_free(y); |
|
BN_free(order); |
|
BN_free(yplusone); |
|
BN_CTX_free(ctx); |
|
return r; |
|
} |
|
|
|
/* |
|
* Tests a point known to cause an incorrect underflow in an old version of |
|
* ecp_nist521.c |
|
*/ |
|
static int underflow_test(void) |
|
{ |
|
BN_CTX *ctx = NULL; |
|
EC_GROUP *grp = NULL; |
|
EC_POINT *P = NULL, *Q = NULL, *R = NULL; |
|
BIGNUM *x1 = NULL, *y1 = NULL, *z1 = NULL, *x2 = NULL, *y2 = NULL; |
|
BIGNUM *k = NULL; |
|
int testresult = 0; |
|
const char *x1str = |
|
"1534f0077fffffe87e9adcfe000000000000000000003e05a21d2400002e031b1f4" |
|
"b80000c6fafa4f3c1288798d624a247b5e2ffffffffffffffefe099241900004"; |
|
const char *p521m1 = |
|
"1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff" |
|
"fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe"; |
|
|
|
ctx = BN_CTX_new(); |
|
if (!TEST_ptr(ctx)) |
|
return 0; |
|
|
|
BN_CTX_start(ctx); |
|
x1 = BN_CTX_get(ctx); |
|
y1 = BN_CTX_get(ctx); |
|
z1 = BN_CTX_get(ctx); |
|
x2 = BN_CTX_get(ctx); |
|
y2 = BN_CTX_get(ctx); |
|
k = BN_CTX_get(ctx); |
|
if (!TEST_ptr(k)) |
|
goto err; |
|
|
|
grp = EC_GROUP_new_by_curve_name(NID_secp521r1); |
|
P = EC_POINT_new(grp); |
|
Q = EC_POINT_new(grp); |
|
R = EC_POINT_new(grp); |
|
if (!TEST_ptr(grp) || !TEST_ptr(P) || !TEST_ptr(Q) || !TEST_ptr(R)) |
|
goto err; |
|
|
|
if (!TEST_int_gt(BN_hex2bn(&x1, x1str), 0) |
|
|| !TEST_int_gt(BN_hex2bn(&y1, p521m1), 0) |
|
|| !TEST_int_gt(BN_hex2bn(&z1, p521m1), 0) |
|
|| !TEST_int_gt(BN_hex2bn(&k, "02"), 0) |
|
|| !TEST_true(EC_POINT_set_Jprojective_coordinates_GFp(grp, P, x1, |
|
y1, z1, ctx)) |
|
|| !TEST_true(EC_POINT_mul(grp, Q, NULL, P, k, ctx)) |
|
|| !TEST_true(EC_POINT_get_affine_coordinates(grp, Q, x1, y1, ctx)) |
|
|| !TEST_true(EC_POINT_dbl(grp, R, P, ctx)) |
|
|| !TEST_true(EC_POINT_get_affine_coordinates(grp, R, x2, y2, ctx))) |
|
goto err; |
|
|
|
if (!TEST_int_eq(BN_cmp(x1, x2), 0) |
|
|| !TEST_int_eq(BN_cmp(y1, y2), 0)) |
|
goto err; |
|
|
|
testresult = 1; |
|
|
|
err: |
|
BN_CTX_end(ctx); |
|
EC_POINT_free(P); |
|
EC_POINT_free(Q); |
|
EC_POINT_free(R); |
|
EC_GROUP_free(grp); |
|
BN_CTX_free(ctx); |
|
|
|
return testresult; |
|
} |
|
# endif |
|
|
|
static const unsigned char p521_named[] = { |
|
0x06, 0x05, 0x2b, 0x81, 0x04, 0x00, 0x23, |
|
}; |
|
|
|
static const unsigned char p521_explicit[] = { |
|
0x30, 0x82, 0x01, 0xc3, 0x02, 0x01, 0x01, 0x30, 0x4d, 0x06, 0x07, 0x2a, |
|
0x86, 0x48, 0xce, 0x3d, 0x01, 0x01, 0x02, 0x42, 0x01, 0xff, 0xff, 0xff, |
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
|
0xff, 0xff, 0x30, 0x81, 0x9f, 0x04, 0x42, 0x01, 0xff, 0xff, 0xff, 0xff, |
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
|
0xfc, 0x04, 0x42, 0x00, 0x51, 0x95, 0x3e, 0xb9, 0x61, 0x8e, 0x1c, 0x9a, |
|
0x1f, 0x92, 0x9a, 0x21, 0xa0, 0xb6, 0x85, 0x40, 0xee, 0xa2, 0xda, 0x72, |
|
0x5b, 0x99, 0xb3, 0x15, 0xf3, 0xb8, 0xb4, 0x89, 0x91, 0x8e, 0xf1, 0x09, |
|
0xe1, 0x56, 0x19, 0x39, 0x51, 0xec, 0x7e, 0x93, 0x7b, 0x16, 0x52, 0xc0, |
|
0xbd, 0x3b, 0xb1, 0xbf, 0x07, 0x35, 0x73, 0xdf, 0x88, 0x3d, 0x2c, 0x34, |
|
0xf1, 0xef, 0x45, 0x1f, 0xd4, 0x6b, 0x50, 0x3f, 0x00, 0x03, 0x15, 0x00, |
|
0xd0, 0x9e, 0x88, 0x00, 0x29, 0x1c, 0xb8, 0x53, 0x96, 0xcc, 0x67, 0x17, |
|
0x39, 0x32, 0x84, 0xaa, 0xa0, 0xda, 0x64, 0xba, 0x04, 0x81, 0x85, 0x04, |
|
0x00, 0xc6, 0x85, 0x8e, 0x06, 0xb7, 0x04, 0x04, 0xe9, 0xcd, 0x9e, 0x3e, |
|
0xcb, 0x66, 0x23, 0x95, 0xb4, 0x42, 0x9c, 0x64, 0x81, 0x39, 0x05, 0x3f, |
|
0xb5, 0x21, 0xf8, 0x28, 0xaf, 0x60, 0x6b, 0x4d, 0x3d, 0xba, 0xa1, 0x4b, |
|
0x5e, 0x77, 0xef, 0xe7, 0x59, 0x28, 0xfe, 0x1d, 0xc1, 0x27, 0xa2, 0xff, |
|
0xa8, 0xde, 0x33, 0x48, 0xb3, 0xc1, 0x85, 0x6a, 0x42, 0x9b, 0xf9, 0x7e, |
|
0x7e, 0x31, 0xc2, 0xe5, 0xbd, 0x66, 0x01, 0x18, 0x39, 0x29, 0x6a, 0x78, |
|
0x9a, 0x3b, 0xc0, 0x04, 0x5c, 0x8a, 0x5f, 0xb4, 0x2c, 0x7d, 0x1b, 0xd9, |
|
0x98, 0xf5, 0x44, 0x49, 0x57, 0x9b, 0x44, 0x68, 0x17, 0xaf, 0xbd, 0x17, |
|
0x27, 0x3e, 0x66, 0x2c, 0x97, 0xee, 0x72, 0x99, 0x5e, 0xf4, 0x26, 0x40, |
|
0xc5, 0x50, 0xb9, 0x01, 0x3f, 0xad, 0x07, 0x61, 0x35, 0x3c, 0x70, 0x86, |
|
0xa2, 0x72, 0xc2, 0x40, 0x88, 0xbe, 0x94, 0x76, 0x9f, 0xd1, 0x66, 0x50, |
|
0x02, 0x42, 0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
|
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfa, |
|
0x51, 0x86, 0x87, 0x83, 0xbf, 0x2f, 0x96, 0x6b, 0x7f, 0xcc, 0x01, 0x48, |
|
0xf7, 0x09, 0xa5, 0xd0, 0x3b, 0xb5, 0xc9, 0xb8, 0x89, 0x9c, 0x47, 0xae, |
|
0xbb, 0x6f, 0xb7, 0x1e, 0x91, 0x38, 0x64, 0x09, 0x02, 0x01, 0x01, |
|
}; |
|
|
|
/* |
|
* Sometime we cannot compare nids for equality, as the built-in curve table |
|
* includes aliases with different names for the same curve. |
|
* |
|
* This function returns TRUE (1) if the checked nids are identical, or if they |
|
* alias to the same curve. FALSE (0) otherwise. |
|
*/ |
|
static ossl_inline |
|
int are_ec_nids_compatible(int n1d, int n2d) |
|
{ |
|
int ret = 0; |
|
switch (n1d) { |
|
# ifndef OPENSSL_NO_EC2M |
|
case NID_sect113r1: |
|
case NID_wap_wsg_idm_ecid_wtls4: |
|
ret = (n2d == NID_sect113r1 || n2d == NID_wap_wsg_idm_ecid_wtls4); |
|
break; |
|
case NID_sect163k1: |
|
case NID_wap_wsg_idm_ecid_wtls3: |
|
ret = (n2d == NID_sect163k1 || n2d == NID_wap_wsg_idm_ecid_wtls3); |
|
break; |
|
case NID_sect233k1: |
|
case NID_wap_wsg_idm_ecid_wtls10: |
|
ret = (n2d == NID_sect233k1 || n2d == NID_wap_wsg_idm_ecid_wtls10); |
|
break; |
|
case NID_sect233r1: |
|
case NID_wap_wsg_idm_ecid_wtls11: |
|
ret = (n2d == NID_sect233r1 || n2d == NID_wap_wsg_idm_ecid_wtls11); |
|
break; |
|
case NID_X9_62_c2pnb163v1: |
|
case NID_wap_wsg_idm_ecid_wtls5: |
|
ret = (n2d == NID_X9_62_c2pnb163v1 |
|
|| n2d == NID_wap_wsg_idm_ecid_wtls5); |
|
break; |
|
# endif /* OPENSSL_NO_EC2M */ |
|
case NID_secp112r1: |
|
case NID_wap_wsg_idm_ecid_wtls6: |
|
ret = (n2d == NID_secp112r1 || n2d == NID_wap_wsg_idm_ecid_wtls6); |
|
break; |
|
case NID_secp160r2: |
|
case NID_wap_wsg_idm_ecid_wtls7: |
|
ret = (n2d == NID_secp160r2 || n2d == NID_wap_wsg_idm_ecid_wtls7); |
|
break; |
|
# ifdef OPENSSL_NO_EC_NISTP_64_GCC_128 |
|
case NID_secp224r1: |
|
case NID_wap_wsg_idm_ecid_wtls12: |
|
ret = (n2d == NID_secp224r1 || n2d == NID_wap_wsg_idm_ecid_wtls12); |
|
break; |
|
# else |
|
/* |
|
* For SEC P-224 we want to ensure that the SECP nid is returned, as |
|
* that is associated with a specialized method. |
|
*/ |
|
case NID_wap_wsg_idm_ecid_wtls12: |
|
ret = (n2d == NID_secp224r1); |
|
break; |
|
# endif /* def(OPENSSL_NO_EC_NISTP_64_GCC_128) */ |
|
|
|
default: |
|
ret = (n1d == n2d); |
|
} |
|
return ret; |
|
} |
|
|
|
/* |
|
* This checks that EC_GROUP_bew_from_ecparameters() returns a "named" |
|
* EC_GROUP for built-in curves. |
|
* |
|
* Note that it is possible to retrieve an alternative alias that does not match |
|
* the original nid. |
|
* |
|
* Ensure that the OPENSSL_EC_EXPLICIT_CURVE ASN1 flag is set. |
|
*/ |
|
static int check_named_curve_from_ecparameters(int id) |
|
{ |
|
int ret = 0, nid, tnid; |
|
EC_GROUP *group = NULL, *tgroup = NULL, *tmpg = NULL; |
|
const EC_POINT *group_gen = NULL; |
|
EC_POINT *other_gen = NULL; |
|
BIGNUM *group_cofactor = NULL, *other_cofactor = NULL; |
|
BIGNUM *other_gen_x = NULL, *other_gen_y = NULL; |
|
const BIGNUM *group_order = NULL; |
|
BIGNUM *other_order = NULL; |
|
BN_CTX *bn_ctx = NULL; |
|
static const unsigned char invalid_seed[] = "THIS IS NOT A VALID SEED"; |
|
static size_t invalid_seed_len = sizeof(invalid_seed); |
|
ECPARAMETERS *params = NULL, *other_params = NULL; |
|
EC_GROUP *g_ary[8] = {NULL}; |
|
EC_GROUP **g_next = &g_ary[0]; |
|
ECPARAMETERS *p_ary[8] = {NULL}; |
|
ECPARAMETERS **p_next = &p_ary[0]; |
|
|
|
/* Do some setup */ |
|
nid = curves[id].nid; |
|
TEST_note("Curve %s", OBJ_nid2sn(nid)); |
|
if (!TEST_ptr(bn_ctx = BN_CTX_new())) |
|
return ret; |
|
BN_CTX_start(bn_ctx); |
|
|
|
if (/* Allocations */ |
|
!TEST_ptr(group_cofactor = BN_CTX_get(bn_ctx)) |
|
|| !TEST_ptr(other_gen_x = BN_CTX_get(bn_ctx)) |
|
|| !TEST_ptr(other_gen_y = BN_CTX_get(bn_ctx)) |
|
|| !TEST_ptr(other_order = BN_CTX_get(bn_ctx)) |
|
|| !TEST_ptr(other_cofactor = BN_CTX_get(bn_ctx)) |
|
/* Generate reference group and params */ |
|
|| !TEST_ptr(group = EC_GROUP_new_by_curve_name(nid)) |
|
|| !TEST_ptr(params = EC_GROUP_get_ecparameters(group, NULL)) |
|
|| !TEST_ptr(group_gen = EC_GROUP_get0_generator(group)) |
|
|| !TEST_ptr(group_order = EC_GROUP_get0_order(group)) |
|
|| !TEST_true(EC_GROUP_get_cofactor(group, group_cofactor, NULL)) |
|
/* compute `other_*` values */ |
|
|| !TEST_ptr(tmpg = EC_GROUP_dup(group)) |
|
|| !TEST_ptr(other_gen = EC_POINT_dup(group_gen, group)) |
|
|| !TEST_true(EC_POINT_add(group, other_gen, group_gen, group_gen, NULL)) |
|
|| !TEST_true(EC_POINT_get_affine_coordinates(group, other_gen, |
|
other_gen_x, other_gen_y, bn_ctx)) |
|
|| !TEST_true(BN_copy(other_order, group_order)) |
|
|| !TEST_true(BN_add_word(other_order, 1)) |
|
|| !TEST_true(BN_copy(other_cofactor, group_cofactor)) |
|
|| !TEST_true(BN_add_word(other_cofactor, 1))) |
|
goto err; |
|
|
|
EC_POINT_free(other_gen); |
|
other_gen = NULL; |
|
|
|
if (!TEST_ptr(other_gen = EC_POINT_new(tmpg)) |
|
|| !TEST_true(EC_POINT_set_affine_coordinates(tmpg, other_gen, |
|
other_gen_x, other_gen_y, |
|
bn_ctx))) |
|
goto err; |
|
|
|
/* |
|
* ########################### |
|
* # Actual tests start here # |
|
* ########################### |
|
*/ |
|
|
|
/* |
|
* Creating a group from built-in explicit parameters returns a |
|
* "named" EC_GROUP |
|
*/ |
|
if (!TEST_ptr(tgroup = *g_next++ = EC_GROUP_new_from_ecparameters(params)) |
|
|| !TEST_int_ne((tnid = EC_GROUP_get_curve_name(tgroup)), NID_undef)) |
|
goto err; |
|
/* |
|
* We cannot always guarantee the names match, as the built-in table |
|
* contains aliases for the same curve with different names. |
|
*/ |
|
if (!TEST_true(are_ec_nids_compatible(nid, tnid))) { |
|
TEST_info("nid = %s, tnid = %s", OBJ_nid2sn(nid), OBJ_nid2sn(tnid)); |
|
goto err; |
|
} |
|
/* Ensure that the OPENSSL_EC_EXPLICIT_CURVE ASN1 flag is set. */ |
|
if (!TEST_int_eq(EC_GROUP_get_asn1_flag(tgroup), OPENSSL_EC_EXPLICIT_CURVE)) |
|
goto err; |
|
|
|
/* |
|
* An invalid seed in the parameters should be ignored: expect a "named" |
|
* group. |
|
*/ |
|
if (!TEST_int_eq(EC_GROUP_set_seed(tmpg, invalid_seed, invalid_seed_len), |
|
invalid_seed_len) |
|
|| !TEST_ptr(other_params = *p_next++ = |
|
EC_GROUP_get_ecparameters(tmpg, NULL)) |
|
|| !TEST_ptr(tgroup = *g_next++ = |
|
EC_GROUP_new_from_ecparameters(other_params)) |
|
|| !TEST_int_ne((tnid = EC_GROUP_get_curve_name(tgroup)), NID_undef) |
|
|| !TEST_true(are_ec_nids_compatible(nid, tnid)) |
|
|| !TEST_int_eq(EC_GROUP_get_asn1_flag(tgroup), |
|
OPENSSL_EC_EXPLICIT_CURVE)) { |
|
TEST_info("nid = %s, tnid = %s", OBJ_nid2sn(nid), OBJ_nid2sn(tnid)); |
|
goto err; |
|
} |
|
|
|
/* |
|
* A null seed in the parameters should be ignored, as it is optional: |
|
* expect a "named" group. |
|
*/ |
|
if (!TEST_int_eq(EC_GROUP_set_seed(tmpg, NULL, 0), 1) |
|
|| !TEST_ptr(other_params = *p_next++ = |
|
EC_GROUP_get_ecparameters(tmpg, NULL)) |
|
|| !TEST_ptr(tgroup = *g_next++ = |
|
EC_GROUP_new_from_ecparameters(other_params)) |
|
|| !TEST_int_ne((tnid = EC_GROUP_get_curve_name(tgroup)), NID_undef) |
|
|| !TEST_true(are_ec_nids_compatible(nid, tnid)) |
|
|| !TEST_int_eq(EC_GROUP_get_asn1_flag(tgroup), |
|
OPENSSL_EC_EXPLICIT_CURVE)) { |
|
TEST_info("nid = %s, tnid = %s", OBJ_nid2sn(nid), OBJ_nid2sn(tnid)); |
|
goto err; |
|
} |
|
|
|
/* |
|
* Check that changing any of the generator parameters does not yield a |
|
* match with the built-in curves |
|
*/ |
|
if (/* Other gen, same group order & cofactor */ |
|
!TEST_true(EC_GROUP_set_generator(tmpg, other_gen, group_order, |
|
group_cofactor)) |
|
|| !TEST_ptr(other_params = *p_next++ = |
|
EC_GROUP_get_ecparameters(tmpg, NULL)) |
|
|| !TEST_ptr(tgroup = *g_next++ = |
|
EC_GROUP_new_from_ecparameters(other_params)) |
|
|| !TEST_int_eq((tnid = EC_GROUP_get_curve_name(tgroup)), NID_undef) |
|
/* Same gen & cofactor, different order */ |
|
|| !TEST_true(EC_GROUP_set_generator(tmpg, group_gen, other_order, |
|
group_cofactor)) |
|
|| !TEST_ptr(other_params = *p_next++ = |
|
EC_GROUP_get_ecparameters(tmpg, NULL)) |
|
|| !TEST_ptr(tgroup = *g_next++ = |
|
EC_GROUP_new_from_ecparameters(other_params)) |
|
|| !TEST_int_eq((tnid = EC_GROUP_get_curve_name(tgroup)), NID_undef) |
|
/* The order is not an optional field, so this should fail */ |
|
|| !TEST_false(EC_GROUP_set_generator(tmpg, group_gen, NULL, |
|
group_cofactor)) |
|
/* Check that a wrong cofactor is ignored, and we still match */ |
|
|| !TEST_true(EC_GROUP_set_generator(tmpg, group_gen, group_order, |
|
other_cofactor)) |
|
|| !TEST_ptr(other_params = *p_next++ = |
|
EC_GROUP_get_ecparameters(tmpg, NULL)) |
|
|| !TEST_ptr(tgroup = *g_next++ = |
|
EC_GROUP_new_from_ecparameters(other_params)) |
|
|| !TEST_int_ne((tnid = EC_GROUP_get_curve_name(tgroup)), NID_undef) |
|
|| !TEST_true(are_ec_nids_compatible(nid, tnid)) |
|
|| !TEST_int_eq(EC_GROUP_get_asn1_flag(tgroup), |
|
OPENSSL_EC_EXPLICIT_CURVE) |
|
/* Check that if the cofactor is not set then it still matches */ |
|
|| !TEST_true(EC_GROUP_set_generator(tmpg, group_gen, group_order, |
|
NULL)) |
|
|| !TEST_ptr(other_params = *p_next++ = |
|
EC_GROUP_get_ecparameters(tmpg, NULL)) |
|
|| !TEST_ptr(tgroup = *g_next++ = |
|
EC_GROUP_new_from_ecparameters(other_params)) |
|
|| !TEST_int_ne((tnid = EC_GROUP_get_curve_name(tgroup)), NID_undef) |
|
|| !TEST_true(are_ec_nids_compatible(nid, tnid)) |
|
|| !TEST_int_eq(EC_GROUP_get_asn1_flag(tgroup), |
|
OPENSSL_EC_EXPLICIT_CURVE) |
|
/* check that restoring the generator passes */ |
|
|| !TEST_true(EC_GROUP_set_generator(tmpg, group_gen, group_order, |
|
group_cofactor)) |
|
|| !TEST_ptr(other_params = *p_next++ = |
|
EC_GROUP_get_ecparameters(tmpg, NULL)) |
|
|| !TEST_ptr(tgroup = *g_next++ = |
|
EC_GROUP_new_from_ecparameters(other_params)) |
|
|| !TEST_int_ne((tnid = EC_GROUP_get_curve_name(tgroup)), NID_undef) |
|
|| !TEST_true(are_ec_nids_compatible(nid, tnid)) |
|
|| !TEST_int_eq(EC_GROUP_get_asn1_flag(tgroup), |
|
OPENSSL_EC_EXPLICIT_CURVE)) |
|
goto err; |
|
|
|
ret = 1; |
|
err: |
|
for (g_next = &g_ary[0]; g_next < g_ary + OSSL_NELEM(g_ary); g_next++) |
|
EC_GROUP_free(*g_next); |
|
for (p_next = &p_ary[0]; p_next < p_ary + OSSL_NELEM(g_ary); p_next++) |
|
ECPARAMETERS_free(*p_next); |
|
ECPARAMETERS_free(params); |
|
EC_POINT_free(other_gen); |
|
EC_GROUP_free(tmpg); |
|
EC_GROUP_free(group); |
|
BN_CTX_end(bn_ctx); |
|
BN_CTX_free(bn_ctx); |
|
return ret; |
|
} |
|
|
|
static int parameter_test(void) |
|
{ |
|
EC_GROUP *group = NULL, *group2 = NULL; |
|
ECPARAMETERS *ecparameters = NULL; |
|
unsigned char *buf = NULL; |
|
int r = 0, len; |
|
|
|
/* must use a curve without a special group method */ |
|
if (!TEST_ptr(group = EC_GROUP_new_by_curve_name(NID_secp256k1)) |
|
|| !TEST_ptr(ecparameters = EC_GROUP_get_ecparameters(group, NULL)) |
|
|| !TEST_ptr(group2 = EC_GROUP_new_from_ecparameters(ecparameters)) |
|
|| !TEST_int_eq(EC_GROUP_cmp(group, group2, NULL), 0)) |
|
goto err; |
|
|
|
EC_GROUP_free(group); |
|
group = NULL; |
|
|
|
/* Test the named curve encoding, which should be default. */ |
|
if (!TEST_ptr(group = EC_GROUP_new_by_curve_name(NID_secp521r1)) |
|
|| !TEST_true((len = i2d_ECPKParameters(group, &buf)) >= 0) |
|
|| !TEST_mem_eq(buf, len, p521_named, sizeof(p521_named))) |
|
goto err; |
|
|
|
OPENSSL_free(buf); |
|
buf = NULL; |
|
|
|
/* |
|
* Test the explicit encoding. P-521 requires correctly zero-padding the |
|
* curve coefficients. |
|
*/ |
|
EC_GROUP_set_asn1_flag(group, OPENSSL_EC_EXPLICIT_CURVE); |
|
if (!TEST_true((len = i2d_ECPKParameters(group, &buf)) >= 0) |
|
|| !TEST_mem_eq(buf, len, p521_explicit, sizeof(p521_explicit))) |
|
goto err; |
|
|
|
r = 1; |
|
err: |
|
EC_GROUP_free(group); |
|
EC_GROUP_free(group2); |
|
ECPARAMETERS_free(ecparameters); |
|
OPENSSL_free(buf); |
|
return r; |
|
} |
|
|
|
/*- |
|
* random 256-bit explicit parameters curve, cofactor absent |
|
* order: 0x0c38d96a9f892b88772ec2e39614a82f4f (132 bit) |
|
* cofactor: 0x12bc94785251297abfafddf1565100da (125 bit) |
|
*/ |
|
static const unsigned char params_cf_pass[] = { |
|
0x30, 0x81, 0xcd, 0x02, 0x01, 0x01, 0x30, 0x2c, 0x06, 0x07, 0x2a, 0x86, |
|
0x48, 0xce, 0x3d, 0x01, 0x01, 0x02, 0x21, 0x00, 0xe5, 0x00, 0x1f, 0xc5, |
|
0xca, 0x71, 0x9d, 0x8e, 0xf7, 0x07, 0x4b, 0x48, 0x37, 0xf9, 0x33, 0x2d, |
|
0x71, 0xbf, 0x79, 0xe7, 0xdc, 0x91, 0xc2, 0xff, 0xb6, 0x7b, 0xc3, 0x93, |
|
0x44, 0x88, 0xe6, 0x91, 0x30, 0x44, 0x04, 0x20, 0xe5, 0x00, 0x1f, 0xc5, |
|
0xca, 0x71, 0x9d, 0x8e, 0xf7, 0x07, 0x4b, 0x48, 0x37, 0xf9, 0x33, 0x2d, |
|
0x71, 0xbf, 0x79, 0xe7, 0xdc, 0x91, 0xc2, 0xff, 0xb6, 0x7b, 0xc3, 0x93, |
|
0x44, 0x88, 0xe6, 0x8e, 0x04, 0x20, 0x18, 0x8c, 0x59, 0x57, 0xc4, 0xbc, |
|
0x85, 0x57, 0xc3, 0x66, 0x9f, 0x89, 0xd5, 0x92, 0x0d, 0x7e, 0x42, 0x27, |
|
0x07, 0x64, 0xaa, 0x26, 0xed, 0x89, 0xc4, 0x09, 0x05, 0x4d, 0xc7, 0x23, |
|
0x47, 0xda, 0x04, 0x41, 0x04, 0x1b, 0x6b, 0x41, 0x0b, 0xf9, 0xfb, 0x77, |
|
0xfd, 0x50, 0xb7, 0x3e, 0x23, 0xa3, 0xec, 0x9a, 0x3b, 0x09, 0x31, 0x6b, |
|
0xfa, 0xf6, 0xce, 0x1f, 0xff, 0xeb, 0x57, 0x93, 0x24, 0x70, 0xf3, 0xf4, |
|
0xba, 0x7e, 0xfa, 0x86, 0x6e, 0x19, 0x89, 0xe3, 0x55, 0x6d, 0x5a, 0xe9, |
|
0xc0, 0x3d, 0xbc, 0xfb, 0xaf, 0xad, 0xd4, 0x7e, 0xa6, 0xe5, 0xfa, 0x1a, |
|
0x58, 0x07, 0x9e, 0x8f, 0x0d, 0x3b, 0xf7, 0x38, 0xca, 0x02, 0x11, 0x0c, |
|
0x38, 0xd9, 0x6a, 0x9f, 0x89, 0x2b, 0x88, 0x77, 0x2e, 0xc2, 0xe3, 0x96, |
|
0x14, 0xa8, 0x2f, 0x4f |
|
}; |
|
|
|
/*- |
|
* random 256-bit explicit parameters curve, cofactor absent |
|
* order: 0x045a75c0c17228ebd9b169a10e34a22101 (131 bit) |
|
* cofactor: 0x2e134b4ede82649f67a2e559d361e5fe (126 bit) |
|
*/ |
|
static const unsigned char params_cf_fail[] = { |
|
0x30, 0x81, 0xcd, 0x02, 0x01, 0x01, 0x30, 0x2c, 0x06, 0x07, 0x2a, 0x86, |
|
0x48, 0xce, 0x3d, 0x01, 0x01, 0x02, 0x21, 0x00, 0xc8, 0x95, 0x27, 0x37, |
|
0xe8, 0xe1, 0xfd, 0xcc, 0xf9, 0x6e, 0x0c, 0xa6, 0x21, 0xc1, 0x7d, 0x6b, |
|
0x9d, 0x44, 0x42, 0xea, 0x73, 0x4e, 0x04, 0xb6, 0xac, 0x62, 0x50, 0xd0, |
|
0x33, 0xc2, 0xea, 0x13, 0x30, 0x44, 0x04, 0x20, 0xc8, 0x95, 0x27, 0x37, |
|
0xe8, 0xe1, 0xfd, 0xcc, 0xf9, 0x6e, 0x0c, 0xa6, 0x21, 0xc1, 0x7d, 0x6b, |
|
0x9d, 0x44, 0x42, 0xea, 0x73, 0x4e, 0x04, 0xb6, 0xac, 0x62, 0x50, 0xd0, |
|
0x33, 0xc2, 0xea, 0x10, 0x04, 0x20, 0xbf, 0xa6, 0xa8, 0x05, 0x1d, 0x09, |
|
0xac, 0x70, 0x39, 0xbb, 0x4d, 0xb2, 0x90, 0x8a, 0x15, 0x41, 0x14, 0x1d, |
|
0x11, 0x86, 0x9f, 0x13, 0xa2, 0x63, 0x1a, 0xda, 0x95, 0x22, 0x4d, 0x02, |
|
0x15, 0x0a, 0x04, 0x41, 0x04, 0xaf, 0x16, 0x71, 0xf9, 0xc4, 0xc8, 0x59, |
|
0x1d, 0xa3, 0x6f, 0xe7, 0xc3, 0x57, 0xa1, 0xfa, 0x9f, 0x49, 0x7c, 0x11, |
|
0x27, 0x05, 0xa0, 0x7f, 0xff, 0xf9, 0xe0, 0xe7, 0x92, 0xdd, 0x9c, 0x24, |
|
0x8e, 0xc7, 0xb9, 0x52, 0x71, 0x3f, 0xbc, 0x7f, 0x6a, 0x9f, 0x35, 0x70, |
|
0xe1, 0x27, 0xd5, 0x35, 0x8a, 0x13, 0xfa, 0xa8, 0x33, 0x3e, 0xd4, 0x73, |
|
0x1c, 0x14, 0x58, 0x9e, 0xc7, 0x0a, 0x87, 0x65, 0x8d, 0x02, 0x11, 0x04, |
|
0x5a, 0x75, 0xc0, 0xc1, 0x72, 0x28, 0xeb, 0xd9, 0xb1, 0x69, 0xa1, 0x0e, |
|
0x34, 0xa2, 0x21, 0x01 |
|
}; |
|
|
|
/*- |
|
* Test two random 256-bit explicit parameters curves with absent cofactor. |
|
* The two curves are chosen to roughly straddle the bounds at which the lib |
|
* can compute the cofactor automatically, roughly 4*sqrt(p). So test that: |
|
* |
|
* - params_cf_pass: order is sufficiently close to p to compute cofactor |
|
* - params_cf_fail: order is too far away from p to compute cofactor |
|
* |
|
* For standards-compliant curves, cofactor is chosen as small as possible. |
|
* So you can see neither of these curves are fit for cryptographic use. |
|
* |
|
* Some standards even mandate an upper bound on the cofactor, e.g. SECG1 v2: |
|
* h <= 2**(t/8) where t is the security level of the curve, for which the lib |
|
* will always succeed in computing the cofactor. Neither of these curves |
|
* conform to that -- this is just robustness testing. |
|
*/ |
|
static int cofactor_range_test(void) |
|
{ |
|
EC_GROUP *group = NULL; |
|
BIGNUM *cf = NULL; |
|
int ret = 0; |
|
const unsigned char *b1 = (const unsigned char *)params_cf_fail; |
|
const unsigned char *b2 = (const unsigned char *)params_cf_pass; |
|
|
|
if (!TEST_ptr(group = d2i_ECPKParameters(NULL, &b1, sizeof(params_cf_fail))) |
|
|| !TEST_BN_eq_zero(EC_GROUP_get0_cofactor(group)) |
|
|| !TEST_ptr(group = d2i_ECPKParameters(&group, &b2, |
|
sizeof(params_cf_pass))) |
|
|| !TEST_int_gt(BN_hex2bn(&cf, "12bc94785251297abfafddf1565100da"), 0) |
|
|| !TEST_BN_eq(cf, EC_GROUP_get0_cofactor(group))) |
|
goto err; |
|
ret = 1; |
|
err: |
|
BN_free(cf); |
|
EC_GROUP_free(group); |
|
return ret; |
|
} |
|
|
|
/*- |
|
* For named curves, test that: |
|
* - the lib correctly computes the cofactor if passed a NULL or zero cofactor |
|
* - a nonsensical cofactor throws an error (negative test) |
|
* - nonsensical orders throw errors (negative tests) |
|
*/ |
|
static int cardinality_test(int n) |
|
{ |
|
int ret = 0; |
|
int nid = curves[n].nid; |
|
BN_CTX *ctx = NULL; |
|
EC_GROUP *g1 = NULL, *g2 = NULL; |
|
EC_POINT *g2_gen = NULL; |
|
BIGNUM *g1_p = NULL, *g1_a = NULL, *g1_b = NULL, *g1_x = NULL, *g1_y = NULL, |
|
*g1_order = NULL, *g1_cf = NULL, *g2_cf = NULL; |
|
|
|
TEST_info("Curve %s cardinality test", OBJ_nid2sn(nid)); |
|
|
|
if (!TEST_ptr(ctx = BN_CTX_new()) |
|
|| !TEST_ptr(g1 = EC_GROUP_new_by_curve_name(nid)) |
|
|| !TEST_ptr(g2 = EC_GROUP_new(EC_GROUP_method_of(g1)))) { |
|
EC_GROUP_free(g1); |
|
EC_GROUP_free(g2); |
|
BN_CTX_free(ctx); |
|
return 0; |
|
} |
|
|
|
BN_CTX_start(ctx); |
|
g1_p = BN_CTX_get(ctx); |
|
g1_a = BN_CTX_get(ctx); |
|
g1_b = BN_CTX_get(ctx); |
|
g1_x = BN_CTX_get(ctx); |
|
g1_y = BN_CTX_get(ctx); |
|
g1_order = BN_CTX_get(ctx); |
|
g1_cf = BN_CTX_get(ctx); |
|
|
|
if (!TEST_ptr(g2_cf = BN_CTX_get(ctx)) |
|
/* pull out the explicit curve parameters */ |
|
|| !TEST_true(EC_GROUP_get_curve(g1, g1_p, g1_a, g1_b, ctx)) |
|
|| !TEST_true(EC_POINT_get_affine_coordinates(g1, |
|
EC_GROUP_get0_generator(g1), g1_x, g1_y, ctx)) |
|
|| !TEST_true(BN_copy(g1_order, EC_GROUP_get0_order(g1))) |
|
|| !TEST_true(EC_GROUP_get_cofactor(g1, g1_cf, ctx)) |
|
/* construct g2 manually with g1 parameters */ |
|
|| !TEST_true(EC_GROUP_set_curve(g2, g1_p, g1_a, g1_b, ctx)) |
|
|| !TEST_ptr(g2_gen = EC_POINT_new(g2)) |
|
|| !TEST_true(EC_POINT_set_affine_coordinates(g2, g2_gen, g1_x, g1_y, ctx)) |
|
/* pass NULL cofactor: lib should compute it */ |
|
|| !TEST_true(EC_GROUP_set_generator(g2, g2_gen, g1_order, NULL)) |
|
|| !TEST_true(EC_GROUP_get_cofactor(g2, g2_cf, ctx)) |
|
|| !TEST_BN_eq(g1_cf, g2_cf) |
|
/* pass zero cofactor: lib should compute it */ |
|
|| !TEST_true(BN_set_word(g2_cf, 0)) |
|
|| !TEST_true(EC_GROUP_set_generator(g2, g2_gen, g1_order, g2_cf)) |
|
|| !TEST_true(EC_GROUP_get_cofactor(g2, g2_cf, ctx)) |
|
|| !TEST_BN_eq(g1_cf, g2_cf) |
|
/* negative test for invalid cofactor */ |
|
|| !TEST_true(BN_set_word(g2_cf, 0)) |
|
|| !TEST_true(BN_sub(g2_cf, g2_cf, BN_value_one())) |
|
|| !TEST_false(EC_GROUP_set_generator(g2, g2_gen, g1_order, g2_cf)) |
|
/* negative test for NULL order */ |
|
|| !TEST_false(EC_GROUP_set_generator(g2, g2_gen, NULL, NULL)) |
|
/* negative test for zero order */ |
|
|| !TEST_true(BN_set_word(g1_order, 0)) |
|
|| !TEST_false(EC_GROUP_set_generator(g2, g2_gen, g1_order, NULL)) |
|
/* negative test for negative order */ |
|
|| !TEST_true(BN_set_word(g2_cf, 0)) |
|
|| !TEST_true(BN_sub(g2_cf, g2_cf, BN_value_one())) |
|
|| !TEST_false(EC_GROUP_set_generator(g2, g2_gen, g1_order, NULL)) |
|
/* negative test for too large order */ |
|
|| !TEST_true(BN_lshift(g1_order, g1_p, 2)) |
|
|| !TEST_false(EC_GROUP_set_generator(g2, g2_gen, g1_order, NULL))) |
|
goto err; |
|
ret = 1; |
|
err: |
|
EC_POINT_free(g2_gen); |
|
EC_GROUP_free(g1); |
|
EC_GROUP_free(g2); |
|
BN_CTX_end(ctx); |
|
BN_CTX_free(ctx); |
|
return ret; |
|
} |
|
|
|
/* |
|
* Helper for ec_point_hex2point_test |
|
* |
|
* Self-tests EC_POINT_point2hex() against EC_POINT_hex2point() for the given |
|
* (group,P) pair. |
|
* |
|
* If P is NULL use point at infinity. |
|
*/ |
|
static ossl_inline |
|
int ec_point_hex2point_test_helper(const EC_GROUP *group, const EC_POINT *P, |
|
point_conversion_form_t form, |
|
BN_CTX *bnctx) |
|
{ |
|
int ret = 0; |
|
EC_POINT *Q = NULL, *Pinf = NULL; |
|
char *hex = NULL; |
|
|
|
if (P == NULL) { |
|
/* If P is NULL use point at infinity. */ |
|
if (!TEST_ptr(Pinf = EC_POINT_new(group)) |
|
|| !TEST_true(EC_POINT_set_to_infinity(group, Pinf))) |
|
goto err; |
|
P = Pinf; |
|
} |
|
|
|
if (!TEST_ptr(hex = EC_POINT_point2hex(group, P, form, bnctx)) |
|
|| !TEST_ptr(Q = EC_POINT_hex2point(group, hex, NULL, bnctx)) |
|
|| !TEST_int_eq(0, EC_POINT_cmp(group, Q, P, bnctx))) |
|
goto err; |
|
|
|
/* |
|
* The next check is most likely superfluous, as EC_POINT_cmp should already |
|
* cover this. |
|
* Nonetheless it increases the test coverage for EC_POINT_is_at_infinity, |
|
* so we include it anyway! |
|
*/ |
|
if (Pinf != NULL |
|
&& !TEST_true(EC_POINT_is_at_infinity(group, Q))) |
|
goto err; |
|
|
|
ret = 1; |
|
|
|
err: |
|
EC_POINT_free(Pinf); |
|
OPENSSL_free(hex); |
|
EC_POINT_free(Q); |
|
|
|
return ret; |
|
} |
|
|
|
/* |
|
* This test self-validates EC_POINT_hex2point() and EC_POINT_point2hex() |
|
*/ |
|
static int ec_point_hex2point_test(int id) |
|
{ |
|
int ret = 0, nid; |
|
EC_GROUP *group = NULL; |
|
const EC_POINT *G = NULL; |
|
EC_POINT *P = NULL; |
|
BN_CTX * bnctx = NULL; |
|
|
|
/* Do some setup */ |
|
nid = curves[id].nid; |
|
if (!TEST_ptr(bnctx = BN_CTX_new()) |
|
|| !TEST_ptr(group = EC_GROUP_new_by_curve_name(nid)) |
|
|| !TEST_ptr(G = EC_GROUP_get0_generator(group)) |
|
|| !TEST_ptr(P = EC_POINT_dup(G, group))) |
|
goto err; |
|
|
|
if (!TEST_true(ec_point_hex2point_test_helper(group, P, |
|
POINT_CONVERSION_COMPRESSED, |
|
bnctx)) |
|
|| !TEST_true(ec_point_hex2point_test_helper(group, NULL, |
|
POINT_CONVERSION_COMPRESSED, |
|
bnctx)) |
|
|| !TEST_true(ec_point_hex2point_test_helper(group, P, |
|
POINT_CONVERSION_UNCOMPRESSED, |
|
bnctx)) |
|
|| !TEST_true(ec_point_hex2point_test_helper(group, NULL, |
|
POINT_CONVERSION_UNCOMPRESSED, |
|
bnctx)) |
|
|| !TEST_true(ec_point_hex2point_test_helper(group, P, |
|
POINT_CONVERSION_HYBRID, |
|
bnctx)) |
|
|| !TEST_true(ec_point_hex2point_test_helper(group, NULL, |
|
POINT_CONVERSION_HYBRID, |
|
bnctx))) |
|
goto err; |
|
|
|
ret = 1; |
|
|
|
err: |
|
EC_POINT_free(P); |
|
EC_GROUP_free(group); |
|
BN_CTX_free(bnctx); |
|
|
|
return ret; |
|
} |
|
|
|
/* |
|
* check the EC_METHOD respects the supplied EC_GROUP_set_generator G |
|
*/ |
|
static int custom_generator_test(int id) |
|
{ |
|
int ret = 0, nid, bsize; |
|
EC_GROUP *group = NULL; |
|
EC_POINT *G2 = NULL, *Q1 = NULL, *Q2 = NULL; |
|
BN_CTX *ctx = NULL; |
|
BIGNUM *k = NULL; |
|
unsigned char *b1 = NULL, *b2 = NULL; |
|
|
|
/* Do some setup */ |
|
nid = curves[id].nid; |
|
TEST_note("Curve %s", OBJ_nid2sn(nid)); |
|
if (!TEST_ptr(ctx = BN_CTX_new())) |
|
return 0; |
|
|
|
BN_CTX_start(ctx); |
|
|
|
if (!TEST_ptr(group = EC_GROUP_new_by_curve_name(nid))) |
|
goto err; |
|
|
|
/* expected byte length of encoded points */ |
|
bsize = (EC_GROUP_get_degree(group) + 7) / 8; |
|
bsize = 2 * bsize + 1; |
|
|
|
if (!TEST_ptr(k = BN_CTX_get(ctx)) |
|
/* fetch a testing scalar k != 0,1 */ |
|
|| !TEST_true(BN_rand(k, EC_GROUP_order_bits(group) - 1, |
|
BN_RAND_TOP_ONE, BN_RAND_BOTTOM_ANY)) |
|
/* make k even */ |
|
|| !TEST_true(BN_clear_bit(k, 0)) |
|
|| !TEST_ptr(G2 = EC_POINT_new(group)) |
|
|| !TEST_ptr(Q1 = EC_POINT_new(group)) |
|
/* Q1 := kG */ |
|
|| !TEST_true(EC_POINT_mul(group, Q1, k, NULL, NULL, ctx)) |
|
/* pull out the bytes of that */ |
|
|| !TEST_int_eq(EC_POINT_point2oct(group, Q1, |
|
POINT_CONVERSION_UNCOMPRESSED, NULL, |
|
0, ctx), bsize) |
|
|| !TEST_ptr(b1 = OPENSSL_malloc(bsize)) |
|
|| !TEST_int_eq(EC_POINT_point2oct(group, Q1, |
|
POINT_CONVERSION_UNCOMPRESSED, b1, |
|
bsize, ctx), bsize) |
|
/* new generator is G2 := 2G */ |
|
|| !TEST_true(EC_POINT_dbl(group, G2, EC_GROUP_get0_generator(group), |
|
ctx)) |
|
|| !TEST_true(EC_GROUP_set_generator(group, G2, |
|
EC_GROUP_get0_order(group), |
|
EC_GROUP_get0_cofactor(group))) |
|
|| !TEST_ptr(Q2 = EC_POINT_new(group)) |
|
|| !TEST_true(BN_rshift1(k, k)) |
|
/* Q2 := k/2 G2 */ |
|
|| !TEST_true(EC_POINT_mul(group, Q2, k, NULL, NULL, ctx)) |
|
|| !TEST_int_eq(EC_POINT_point2oct(group, Q2, |
|
POINT_CONVERSION_UNCOMPRESSED, NULL, |
|
0, ctx), bsize) |
|
|| !TEST_ptr(b2 = OPENSSL_malloc(bsize)) |
|
|| !TEST_int_eq(EC_POINT_point2oct(group, Q2, |
|
POINT_CONVERSION_UNCOMPRESSED, b2, |
|
bsize, ctx), bsize) |
|
/* Q1 = kG = k/2 G2 = Q2 should hold */ |
|
|| !TEST_int_eq(CRYPTO_memcmp(b1, b2, bsize), 0)) |
|
goto err; |
|
|
|
ret = 1; |
|
|
|
err: |
|
BN_CTX_end(ctx); |
|
EC_POINT_free(Q1); |
|
EC_POINT_free(Q2); |
|
EC_POINT_free(G2); |
|
EC_GROUP_free(group); |
|
BN_CTX_free(ctx); |
|
OPENSSL_free(b1); |
|
OPENSSL_free(b2); |
|
|
|
return ret; |
|
} |
|
|
|
#endif /* OPENSSL_NO_EC */ |
|
|
|
int setup_tests(void) |
|
{ |
|
#ifndef OPENSSL_NO_EC |
|
crv_len = EC_get_builtin_curves(NULL, 0); |
|
if (!TEST_ptr(curves = OPENSSL_malloc(sizeof(*curves) * crv_len)) |
|
|| !TEST_true(EC_get_builtin_curves(curves, crv_len))) |
|
return 0; |
|
|
|
ADD_TEST(parameter_test); |
|
ADD_TEST(cofactor_range_test); |
|
ADD_ALL_TESTS(cardinality_test, crv_len); |
|
ADD_TEST(prime_field_tests); |
|
# ifndef OPENSSL_NO_EC2M |
|
ADD_TEST(char2_field_tests); |
|
ADD_ALL_TESTS(char2_curve_test, OSSL_NELEM(char2_curve_tests)); |
|
# endif |
|
# ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 |
|
ADD_ALL_TESTS(nistp_single_test, OSSL_NELEM(nistp_tests_params)); |
|
ADD_TEST(underflow_test); |
|
# endif |
|
ADD_ALL_TESTS(internal_curve_test, crv_len); |
|
ADD_ALL_TESTS(internal_curve_test_method, crv_len); |
|
|
|
ADD_ALL_TESTS(check_named_curve_from_ecparameters, crv_len); |
|
ADD_ALL_TESTS(ec_point_hex2point_test, crv_len); |
|
ADD_ALL_TESTS(custom_generator_test, crv_len); |
|
#endif /* OPENSSL_NO_EC */ |
|
return 1; |
|
} |
|
|
|
void cleanup_tests(void) |
|
{ |
|
#ifndef OPENSSL_NO_EC |
|
OPENSSL_free(curves); |
|
#endif |
|
}
|
|
|