/* * Copyright 2001-2021 The OpenSSL Project Authors. All Rights Reserved. * Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved * * Licensed under the Apache License 2.0 (the "License"). You may not use * this file except in compliance with the License. You can obtain a copy * in the file LICENSE in the source distribution or at * https://www.openssl.org/source/license.html */ /* * EC_KEY low level APIs are deprecated for public use, but still ok for * internal use. */ #include "internal/deprecated.h" #include #include "internal/nelem.h" #include "testutil.h" #include #ifndef OPENSSL_NO_ENGINE # include #endif #include #include #include #include #include #include #include "openssl/core_names.h" #include "openssl/param_build.h" #include "openssl/evp.h" static size_t crv_len = 0; static EC_builtin_curve *curves = NULL; /* test multiplication with group order, long and negative scalars */ static int group_order_tests(EC_GROUP *group) { BIGNUM *n1 = NULL, *n2 = NULL, *order = NULL; EC_POINT *P = NULL, *Q = NULL, *R = NULL, *S = NULL; const EC_POINT *G = NULL; BN_CTX *ctx = NULL; int i = 0, r = 0; if (!TEST_ptr(n1 = BN_new()) || !TEST_ptr(n2 = BN_new()) || !TEST_ptr(order = BN_new()) || !TEST_ptr(ctx = BN_CTX_new()) || !TEST_ptr(G = EC_GROUP_get0_generator(group)) || !TEST_ptr(P = EC_POINT_new(group)) || !TEST_ptr(Q = EC_POINT_new(group)) || !TEST_ptr(R = EC_POINT_new(group)) || !TEST_ptr(S = EC_POINT_new(group))) goto err; if (!TEST_true(EC_GROUP_get_order(group, order, ctx)) || !TEST_true(EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) || !TEST_true(EC_POINT_is_at_infinity(group, Q)) #ifndef OPENSSL_NO_DEPRECATED_3_0 || !TEST_true(EC_GROUP_precompute_mult(group, ctx)) #endif || !TEST_true(EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) || !TEST_true(EC_POINT_is_at_infinity(group, Q)) || !TEST_true(EC_POINT_copy(P, G)) || !TEST_true(BN_one(n1)) || !TEST_true(EC_POINT_mul(group, Q, n1, NULL, NULL, ctx)) || !TEST_int_eq(0, EC_POINT_cmp(group, Q, P, ctx)) || !TEST_true(BN_sub(n1, order, n1)) || !TEST_true(EC_POINT_mul(group, Q, n1, NULL, NULL, ctx)) || !TEST_true(EC_POINT_invert(group, Q, ctx)) || !TEST_int_eq(0, EC_POINT_cmp(group, Q, P, ctx))) goto err; for (i = 1; i <= 2; i++) { #ifndef OPENSSL_NO_DEPRECATED_3_0 const BIGNUM *scalars[6]; const EC_POINT *points[6]; #endif if (!TEST_true(BN_set_word(n1, i)) /* * If i == 1, P will be the predefined generator for which * EC_GROUP_precompute_mult has set up precomputation. */ || !TEST_true(EC_POINT_mul(group, P, n1, NULL, NULL, ctx)) || (i == 1 && !TEST_int_eq(0, EC_POINT_cmp(group, P, G, ctx))) || !TEST_true(BN_one(n1)) /* n1 = 1 - order */ || !TEST_true(BN_sub(n1, n1, order)) || !TEST_true(EC_POINT_mul(group, Q, NULL, P, n1, ctx)) || !TEST_int_eq(0, EC_POINT_cmp(group, Q, P, ctx)) /* n2 = 1 + order */ || !TEST_true(BN_add(n2, order, BN_value_one())) || !TEST_true(EC_POINT_mul(group, Q, NULL, P, n2, ctx)) || !TEST_int_eq(0, EC_POINT_cmp(group, Q, P, ctx)) /* n2 = (1 - order) * (1 + order) = 1 - order^2 */ || !TEST_true(BN_mul(n2, n1, n2, ctx)) || !TEST_true(EC_POINT_mul(group, Q, NULL, P, n2, ctx)) || !TEST_int_eq(0, EC_POINT_cmp(group, Q, P, ctx))) goto err; /* n2 = order^2 - 1 */ BN_set_negative(n2, 0); if (!TEST_true(EC_POINT_mul(group, Q, NULL, P, n2, ctx)) /* Add P to verify the result. */ || !TEST_true(EC_POINT_add(group, Q, Q, P, ctx)) || !TEST_true(EC_POINT_is_at_infinity(group, Q)) || !TEST_false(EC_POINT_is_at_infinity(group, P))) goto err; #ifndef OPENSSL_NO_DEPRECATED_3_0 /* Exercise EC_POINTs_mul, including corner cases. */ scalars[0] = scalars[1] = BN_value_one(); points[0] = points[1] = P; if (!TEST_true(EC_POINTs_mul(group, R, NULL, 2, points, scalars, ctx)) || !TEST_true(EC_POINT_dbl(group, S, points[0], ctx)) || !TEST_int_eq(0, EC_POINT_cmp(group, R, S, ctx))) goto err; 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 (!TEST_true(EC_POINTs_mul(group, P, NULL, 6, points, scalars, ctx)) || !TEST_true(EC_POINT_is_at_infinity(group, P))) goto err; #endif } r = 1; err: if (r == 0 && i != 0) TEST_info(i == 1 ? "allowing precomputation" : "without precomputation"); EC_POINT_free(P); EC_POINT_free(Q); EC_POINT_free(R); EC_POINT_free(S); BN_free(n1); BN_free(n2); BN_free(order); BN_CTX_free(ctx); return r; } static int prime_field_tests(void) { BN_CTX *ctx = NULL; BIGNUM *p = NULL, *a = NULL, *b = NULL, *scalar3 = NULL; EC_GROUP *group = NULL; EC_POINT *P = NULL, *Q = NULL, *R = NULL; BIGNUM *x = NULL, *y = NULL, *z = NULL, *yplusone = NULL; #ifndef OPENSSL_NO_DEPRECATED_3_0 const EC_POINT *points[4]; const BIGNUM *scalars[4]; #endif unsigned char buf[100]; size_t len, r = 0; int k; if (!TEST_ptr(ctx = BN_CTX_new()) || !TEST_ptr(p = BN_new()) || !TEST_ptr(a = BN_new()) || !TEST_ptr(b = BN_new()) /* * applications should use EC_GROUP_new_curve_GFp so * that the library gets to choose the EC_METHOD */ || !TEST_ptr(group = EC_GROUP_new(EC_GFp_mont_method()))) goto err; buf[0] = 0; if (!TEST_ptr(P = EC_POINT_new(group)) || !TEST_ptr(Q = EC_POINT_new(group)) || !TEST_ptr(R = EC_POINT_new(group)) || !TEST_ptr(x = BN_new()) || !TEST_ptr(y = BN_new()) || !TEST_ptr(z = BN_new()) || !TEST_ptr(yplusone = BN_new())) goto err; /* Curve P-224 (FIPS PUB 186-2, App. 6) */ if (!TEST_true(BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFF000000000000000000000001")) || !TEST_int_eq(1, BN_check_prime(p, ctx, NULL)) || !TEST_true(BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE")) || !TEST_true(BN_hex2bn(&b, "B4050A850C04B3ABF5413256" "5044B0B7D7BFD8BA270B39432355FFB4")) || !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx)) || !TEST_true(BN_hex2bn(&x, "B70E0CBD6BB4BF7F321390B9" "4A03C1D356C21122343280D6115C1D21")) || !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, "FFFFFFFFFFFFFFFFFFFFFFFF" "FFFF16A2E0B8F03E13DD29455C5C2A3D")) || !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-224 -- Generator"); test_output_bignum("x", x); test_output_bignum("y", y); /* G_y value taken from the standard: */ if (!TEST_true(BN_hex2bn(&z, "BD376388B5F723FB4C22DFE6" "CD4375A05A07476444D5819985007E34")) || !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), 224) || !group_order_tests(group) /* Curve P-256 (FIPS PUB 186-2, App. 6) */ || !TEST_true(BN_hex2bn(&p, "FFFFFFFF000000010000000000000000" "00000000FFFFFFFFFFFFFFFFFFFFFFFF")) || !TEST_int_eq(1, BN_check_prime(p, ctx, NULL)) || !TEST_true(BN_hex2bn(&a, "FFFFFFFF000000010000000000000000" "00000000FFFFFFFFFFFFFFFFFFFFFFFC")) || !TEST_true(BN_hex2bn(&b, "5AC635D8AA3A93E7B3EBBD55769886BC" "651D06B0CC53B0F63BCE3C3E27D2604B")) || !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx)) || !TEST_true(BN_hex2bn(&x, "6B17D1F2E12C4247F8BCE6E563A440F2" "77037D812DEB33A0F4A13945D898C296")) || !TEST_true(EC_POINT_set_compressed_coordinates(group, P, x, 1, ctx)) || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0) || !TEST_true(BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFF" "BCE6FAADA7179E84F3B9CAC2FC632551")) || !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-256 -- Generator"); test_output_bignum("x", x); test_output_bignum("y", y); /* G_y value taken from the standard: */ if (!TEST_true(BN_hex2bn(&z, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E16" "2BCE33576B315ECECBB6406837BF51F5")) || !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), 256) || !group_order_tests(group) /* Curve P-384 (FIPS PUB 186-2, App. 6) */ || !TEST_true(BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE" "FFFFFFFF0000000000000000FFFFFFFF")) || !TEST_int_eq(1, BN_check_prime(p, ctx, NULL)) || !TEST_true(BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE" "FFFFFFFF0000000000000000FFFFFFFC")) || !TEST_true(BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19" "181D9C6EFE8141120314088F5013875A" "C656398D8A2ED19D2A85C8EDD3EC2AEF")) || !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx)) || !TEST_true(BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD74" "6E1D3B628BA79B9859F741E082542A38" "5502F25DBF55296C3A545E3872760AB7")) || !TEST_true(EC_POINT_set_compressed_coordinates(group, P, x, 1, ctx)) || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0) || !TEST_true(BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFC7634D81F4372DDF" "581A0DB248B0A77AECEC196ACCC52973")) || !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-384 -- Generator"); test_output_bignum("x", x); test_output_bignum("y", y); /* G_y value taken from the standard: */ if (!TEST_true(BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29" "F8F41DBD289A147CE9DA3113B5F0B8C0" "0A60B1CE1D7E819D7A431D7C90EA0E5F")) || !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), 384) || !group_order_tests(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_check_prime(p, 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) /* 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; #ifndef OPENSSL_NO_DEPRECATED_3_0 TEST_note("combined multiplication ..."); 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; /* 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; #endif 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_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); 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; } static int group_field_test(void) { int r = 1; BIGNUM *secp521r1_field = NULL; BIGNUM *sect163r2_field = NULL; EC_GROUP *secp521r1_group = NULL; EC_GROUP *sect163r2_group = NULL; BN_hex2bn(&secp521r1_field, "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFF"); BN_hex2bn(§163r2_field, "08000000000000000000000000000000" "00000000C9"); secp521r1_group = EC_GROUP_new_by_curve_name(NID_secp521r1); if (BN_cmp(secp521r1_field, EC_GROUP_get0_field(secp521r1_group))) r = 0; # ifndef OPENSSL_NO_EC2M sect163r2_group = EC_GROUP_new_by_curve_name(NID_sect163r2); if (BN_cmp(sect163r2_field, EC_GROUP_get0_field(sect163r2_group))) r = 0; # endif EC_GROUP_free(secp521r1_group); EC_GROUP_free(sect163r2_group); BN_free(secp521r1_field); BN_free(sect163r2_field); return r; } /* * nistp_test_params contains magic numbers for testing * several NIST curves with characteristic > 3. */ struct nistp_test_params { const int nid; 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 */ NID_secp224r1, 224, /* p */ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", /* a */ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", /* b */ "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", /* Qx */ "E84FB0B8E7000CB657D7973CF6B42ED78B301674276DF744AF130B3E", /* Qy */ "4376675C6FC5612C21A0FF2D2A89D2987DF7A2BC52183B5982298555", /* Gx */ "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", /* Gy */ "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34", /* order */ "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", /* d */ "3F0C488E987C80BE0FEE521F8D90BE6034EC69AE11CA72AA777481E8", }, { /* P-256 */ NID_X9_62_prime256v1, 256, /* p */ "ffffffff00000001000000000000000000000000ffffffffffffffffffffffff", /* a */ "ffffffff00000001000000000000000000000000fffffffffffffffffffffffc", /* b */ "5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b", /* Qx */ "b7e08afdfe94bad3f1dc8c734798ba1c62b3a0ad1e9ea2a38201cd0889bc7a19", /* Qy */ "3603f747959dbf7a4bb226e41928729063adc7ae43529e61b563bbc606cc5e09", /* Gx */ "6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296", /* Gy */ "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5", /* order */ "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551", /* d */ "c477f9f65c22cce20657faa5b2d1d8122336f851a508a1ed04e479c34985bf96", }, { /* P-521 */ NID_secp521r1, 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_by_curve_name(test->nid)) || !TEST_true(BN_hex2bn(&p, test->p)) || !TEST_int_eq(1, BN_check_prime(p, 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)) #ifndef OPENSSL_NO_DEPRECATED_3_0 /* We have not performed precomp so this 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)) #endif ) 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 = 1; 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; } 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, }; /* * This test validates a named curve's group parameters using * EC_GROUP_check_named_curve(). It also checks that modifying any of the * group parameters results in the curve not being valid. */ static int check_named_curve_test(int id) { int ret = 0, nid, field_nid, has_seed; EC_GROUP *group = NULL, *gtest = NULL; const EC_POINT *group_gen = NULL; EC_POINT *other_gen = NULL; BIGNUM *group_p = NULL, *group_a = NULL, *group_b = NULL; BIGNUM *other_p = NULL, *other_a = NULL, *other_b = NULL; BIGNUM *group_cofactor = NULL, *other_cofactor = NULL; BIGNUM *other_order = NULL; const BIGNUM *group_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); /* Do some setup */ nid = curves[id].nid; if (!TEST_ptr(bn_ctx = BN_CTX_new()) || !TEST_ptr(group = EC_GROUP_new_by_curve_name(nid)) || !TEST_ptr(gtest = EC_GROUP_dup(group)) || !TEST_ptr(group_p = BN_new()) || !TEST_ptr(group_a = BN_new()) || !TEST_ptr(group_b = BN_new()) || !TEST_ptr(group_cofactor = BN_new()) || !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)) || !TEST_true(EC_GROUP_get_curve(group, group_p, group_a, group_b, NULL)) || !TEST_ptr(other_gen = EC_POINT_dup(group_gen, group)) || !TEST_true(EC_POINT_add(group, other_gen, group_gen, group_gen, NULL)) || !TEST_ptr(other_order = BN_dup(group_order)) || !TEST_true(BN_add_word(other_order, 1)) || !TEST_ptr(other_a = BN_dup(group_a)) || !TEST_true(BN_add_word(other_a, 1)) || !TEST_ptr(other_b = BN_dup(group_b)) || !TEST_true(BN_add_word(other_b, 1)) || !TEST_ptr(other_cofactor = BN_dup(group_cofactor)) || !TEST_true(BN_add_word(other_cofactor, 1))) goto err; /* Determine if the built-in curve has a seed field set */ has_seed = (EC_GROUP_get_seed_len(group) > 0); field_nid = EC_GROUP_get_field_type(group); if (field_nid == NID_X9_62_characteristic_two_field) { if (!TEST_ptr(other_p = BN_dup(group_p)) || !TEST_true(BN_lshift1(other_p, other_p))) goto err; } else { if (!TEST_ptr(other_p = BN_dup(group_p))) goto err; /* * Just choosing any arbitrary prime does not work.. * Setting p via ec_GFp_nist_group_set_curve() needs the prime to be a * nist prime. So only select one of these as an alternate prime. */ if (!TEST_ptr(BN_copy(other_p, BN_ucmp(BN_get0_nist_prime_192(), other_p) == 0 ? BN_get0_nist_prime_256() : BN_get0_nist_prime_192()))) goto err; } /* Passes because this is a valid curve */ if (!TEST_int_eq(EC_GROUP_check_named_curve(group, 0, NULL), nid) /* Only NIST curves pass */ || !TEST_int_eq(EC_GROUP_check_named_curve(group, 1, NULL), EC_curve_nid2nist(nid) != NULL ? nid : NID_undef)) goto err; /* Fail if the curve name doesn't match the parameters */ EC_GROUP_set_curve_name(group, nid + 1); ERR_set_mark(); if (!TEST_int_le(EC_GROUP_check_named_curve(group, 0, NULL), 0)) goto err; ERR_pop_to_mark(); /* Restore curve name and ensure it's passing */ EC_GROUP_set_curve_name(group, nid); if (!TEST_int_eq(EC_GROUP_check_named_curve(group, 0, NULL), nid)) goto err; if (!TEST_int_eq(EC_GROUP_set_seed(group, invalid_seed, invalid_seed_len), invalid_seed_len)) goto err; if (has_seed) { /* * If the built-in curve has a seed and we set the seed to another value * then it will fail the check. */ if (!TEST_int_eq(EC_GROUP_check_named_curve(group, 0, NULL), 0)) goto err; } else { /* * If the built-in curve does not have a seed then setting the seed will * pass the check (as the seed is optional). */ if (!TEST_int_eq(EC_GROUP_check_named_curve(group, 0, NULL), nid)) goto err; } /* Pass if the seed is unknown (as it is optional) */ if (!TEST_int_eq(EC_GROUP_set_seed(group, NULL, 0), 1) || !TEST_int_eq(EC_GROUP_check_named_curve(group, 0, NULL), nid)) goto err; /* Check that a duped group passes */ if (!TEST_int_eq(EC_GROUP_check_named_curve(gtest, 0, NULL), nid)) goto err; /* check that changing any generator parameter fails */ if (!TEST_true(EC_GROUP_set_generator(gtest, other_gen, group_order, group_cofactor)) || !TEST_int_eq(EC_GROUP_check_named_curve(gtest, 0, NULL), 0) || !TEST_true(EC_GROUP_set_generator(gtest, group_gen, other_order, group_cofactor)) || !TEST_int_eq(EC_GROUP_check_named_curve(gtest, 0, NULL), 0) /* The order is not an optional field, so this should fail */ || !TEST_false(EC_GROUP_set_generator(gtest, group_gen, NULL, group_cofactor)) || !TEST_true(EC_GROUP_set_generator(gtest, group_gen, group_order, other_cofactor)) || !TEST_int_eq(EC_GROUP_check_named_curve(gtest, 0, NULL), 0) /* Check that if the cofactor is not set then it still passes */ || !TEST_true(EC_GROUP_set_generator(gtest, group_gen, group_order, NULL)) || !TEST_int_eq(EC_GROUP_check_named_curve(gtest, 0, NULL), nid) /* check that restoring the generator passes */ || !TEST_true(EC_GROUP_set_generator(gtest, group_gen, group_order, group_cofactor)) || !TEST_int_eq(EC_GROUP_check_named_curve(gtest, 0, NULL), nid)) goto err; /* * check that changing any curve parameter fails * * Setting arbitrary p, a or b might fail for some EC_GROUPs * depending on the internal EC_METHOD implementation, hence run * these tests conditionally to the success of EC_GROUP_set_curve(). */ ERR_set_mark(); if (EC_GROUP_set_curve(gtest, other_p, group_a, group_b, NULL)) { if (!TEST_int_le(EC_GROUP_check_named_curve(gtest, 0, NULL), 0)) goto err; } else { /* clear the error stack if EC_GROUP_set_curve() failed */ ERR_pop_to_mark(); ERR_set_mark(); } if (EC_GROUP_set_curve(gtest, group_p, other_a, group_b, NULL)) { if (!TEST_int_le(EC_GROUP_check_named_curve(gtest, 0, NULL), 0)) goto err; } else { /* clear the error stack if EC_GROUP_set_curve() failed */ ERR_pop_to_mark(); ERR_set_mark(); } if (EC_GROUP_set_curve(gtest, group_p, group_a, other_b, NULL)) { if (!TEST_int_le(EC_GROUP_check_named_curve(gtest, 0, NULL), 0)) goto err; } else { /* clear the error stack if EC_GROUP_set_curve() failed */ ERR_pop_to_mark(); ERR_set_mark(); } ERR_pop_to_mark(); /* Check that restoring the curve parameters passes */ if (!TEST_true(EC_GROUP_set_curve(gtest, group_p, group_a, group_b, NULL)) || !TEST_int_eq(EC_GROUP_check_named_curve(gtest, 0, NULL), nid)) goto err; ret = 1; err: BN_free(group_p); BN_free(other_p); BN_free(group_a); BN_free(other_a); BN_free(group_b); BN_free(other_b); BN_free(group_cofactor); BN_free(other_cofactor); BN_free(other_order); EC_POINT_free(other_gen); EC_GROUP_free(gtest); EC_GROUP_free(group); BN_CTX_free(bn_ctx); return ret; } /* * This checks the lookup capability of EC_GROUP_check_named_curve() * when the given group was created with explicit parameters. * * It is possible to retrieve an alternative alias that does not match * the original nid in this case. */ static int check_named_curve_lookup_test(int id) { int ret = 0, nid, rv = 0; EC_GROUP *g = NULL , *ga = NULL; ECPARAMETERS *p = NULL, *pa = NULL; BN_CTX *ctx = NULL; /* Do some setup */ nid = curves[id].nid; if (!TEST_ptr(ctx = BN_CTX_new()) || !TEST_ptr(g = EC_GROUP_new_by_curve_name(nid)) || !TEST_ptr(p = EC_GROUP_get_ecparameters(g, NULL))) goto err; /* replace with group from explicit parameters */ EC_GROUP_free(g); if (!TEST_ptr(g = EC_GROUP_new_from_ecparameters(p))) goto err; if (!TEST_int_gt(rv = EC_GROUP_check_named_curve(g, 0, NULL), 0)) goto err; if (rv != nid) { /* * Found an alias: * fail if the returned nid is not an alias of the original group. * * The comparison here is done by comparing two explicit * parameter EC_GROUPs with EC_GROUP_cmp(), to ensure the * comparison happens with unnamed EC_GROUPs using the same * EC_METHODs. */ if (!TEST_ptr(ga = EC_GROUP_new_by_curve_name(rv)) || !TEST_ptr(pa = EC_GROUP_get_ecparameters(ga, NULL))) goto err; /* replace with group from explicit parameters, then compare */ EC_GROUP_free(ga); if (!TEST_ptr(ga = EC_GROUP_new_from_ecparameters(pa)) || !TEST_int_eq(EC_GROUP_cmp(g, ga, ctx), 0)) goto err; } ret = 1; err: EC_GROUP_free(g); EC_GROUP_free(ga); ECPARAMETERS_free(p); ECPARAMETERS_free(pa); BN_CTX_free(ctx); return ret; } /* * 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; if (!TEST_ptr(group = EC_GROUP_new_by_curve_name(NID_secp384r1)) || !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, is_binary = 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))) { BN_CTX_free(ctx); return 0; } is_binary = (EC_GROUP_get_field_type(g1) == NID_X9_62_characteristic_two_field); 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 */ #ifndef OPENSSL_NO_EC2M || !TEST_ptr(g2 = (is_binary) ? EC_GROUP_new_curve_GF2m(g1_p, g1_a, g1_b, ctx) : EC_GROUP_new_curve_GFp(g1_p, g1_a, g1_b, ctx)) #else || !TEST_int_eq(0, is_binary) || !TEST_ptr(g2 = EC_GROUP_new_curve_GFp(g1_p, g1_a, g1_b, ctx)) #endif || !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; } static int check_ec_key_field_public_range_test(int id) { int ret = 0, type = 0; const EC_POINT *pub = NULL; const EC_GROUP *group = NULL; const BIGNUM *field = NULL; BIGNUM *x = NULL, *y = NULL; EC_KEY *key = NULL; if (!TEST_ptr(x = BN_new()) || !TEST_ptr(y = BN_new()) || !TEST_ptr(key = EC_KEY_new_by_curve_name(curves[id].nid)) || !TEST_ptr(group = EC_KEY_get0_group(key)) || !TEST_ptr(field = EC_GROUP_get0_field(group)) || !TEST_int_gt(EC_KEY_generate_key(key), 0) || !TEST_int_gt(EC_KEY_check_key(key), 0) || !TEST_ptr(pub = EC_KEY_get0_public_key(key)) || !TEST_int_gt(EC_POINT_get_affine_coordinates(group, pub, x, y, NULL), 0)) goto err; /* * Make the public point out of range by adding the field (which will still * be the same point on the curve). The add is different for char2 fields. */ type = EC_GROUP_get_field_type(group); #ifndef OPENSSL_NO_EC2M if (type == NID_X9_62_characteristic_two_field) { /* test for binary curves */ if (!TEST_true(BN_GF2m_add(x, x, field))) goto err; } else #endif if (type == NID_X9_62_prime_field) { /* test for prime curves */ if (!TEST_true(BN_add(x, x, field))) goto err; } else { /* this should never happen */ TEST_error("Unsupported EC_METHOD field_type"); goto err; } if (!TEST_int_le(EC_KEY_set_public_key_affine_coordinates(key, x, y), 0)) goto err; ret = 1; err: BN_free(x); BN_free(y); EC_KEY_free(key); 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; } static int do_test_custom_explicit_fromdata(EC_GROUP *group, BN_CTX *ctx, unsigned char *gen, int gen_size) { int ret = 0, i_out; EVP_PKEY_CTX *pctx = NULL; EVP_PKEY *pkeyparam = NULL; OSSL_PARAM_BLD *bld = NULL; const char *field_name; OSSL_PARAM *params = NULL; const OSSL_PARAM *gettable; BIGNUM *p, *a, *b; BIGNUM *p_out = NULL, *a_out = NULL, *b_out = NULL; BIGNUM *order_out = NULL, *cofactor_out = NULL; char name[80]; unsigned char buf[1024]; size_t buf_len, name_len; #ifndef OPENSSL_NO_EC2M unsigned int k1 = 0, k2 = 0, k3 = 0; const char *basis_name = NULL; #endif p = BN_CTX_get(ctx); a = BN_CTX_get(ctx); b = BN_CTX_get(ctx); if (!TEST_ptr(b) || !TEST_ptr(bld = OSSL_PARAM_BLD_new())) goto err; if (EC_GROUP_get_field_type(group) == NID_X9_62_prime_field) { field_name = SN_X9_62_prime_field; } else { field_name = SN_X9_62_characteristic_two_field; #ifndef OPENSSL_NO_EC2M if (EC_GROUP_get_basis_type(group) == NID_X9_62_tpBasis) { basis_name = SN_X9_62_tpBasis; if (!TEST_true(EC_GROUP_get_trinomial_basis(group, &k1))) goto err; } else { basis_name = SN_X9_62_ppBasis; if (!TEST_true(EC_GROUP_get_pentanomial_basis(group, &k1, &k2, &k3))) goto err; } #endif /* OPENSSL_NO_EC2M */ } if (!TEST_true(EC_GROUP_get_curve(group, p, a, b, ctx)) || !TEST_true(OSSL_PARAM_BLD_push_utf8_string(bld, OSSL_PKEY_PARAM_EC_FIELD_TYPE, field_name, 0)) || !TEST_true(OSSL_PARAM_BLD_push_BN(bld, OSSL_PKEY_PARAM_EC_P, p)) || !TEST_true(OSSL_PARAM_BLD_push_BN(bld, OSSL_PKEY_PARAM_EC_A, a)) || !TEST_true(OSSL_PARAM_BLD_push_BN(bld, OSSL_PKEY_PARAM_EC_B, b))) goto err; if (EC_GROUP_get0_seed(group) != NULL) { if (!TEST_true(OSSL_PARAM_BLD_push_octet_string(bld, OSSL_PKEY_PARAM_EC_SEED, EC_GROUP_get0_seed(group), EC_GROUP_get_seed_len(group)))) goto err; } if (EC_GROUP_get0_cofactor(group) != NULL) { if (!TEST_true(OSSL_PARAM_BLD_push_BN(bld, OSSL_PKEY_PARAM_EC_COFACTOR, EC_GROUP_get0_cofactor(group)))) goto err; } if (!TEST_true(OSSL_PARAM_BLD_push_octet_string(bld, OSSL_PKEY_PARAM_EC_GENERATOR, gen, gen_size)) || !TEST_true(OSSL_PARAM_BLD_push_BN(bld, OSSL_PKEY_PARAM_EC_ORDER, EC_GROUP_get0_order(group)))) goto err; if (!TEST_ptr(params = OSSL_PARAM_BLD_to_param(bld)) || !TEST_ptr(pctx = EVP_PKEY_CTX_new_from_name(NULL, "EC", NULL)) || !TEST_int_gt(EVP_PKEY_fromdata_init(pctx), 0) || !TEST_int_gt(EVP_PKEY_fromdata(pctx, &pkeyparam, EVP_PKEY_KEY_PARAMETERS, params), 0)) goto err; /*- Check that all the set values are retrievable -*/ /* There should be no match to a group name since the generator changed */ if (!TEST_false(EVP_PKEY_get_utf8_string_param(pkeyparam, OSSL_PKEY_PARAM_GROUP_NAME, name, sizeof(name), &name_len))) goto err; /* The encoding should be explicit as it has no group */ if (!TEST_true(EVP_PKEY_get_utf8_string_param(pkeyparam, OSSL_PKEY_PARAM_EC_ENCODING, name, sizeof(name), &name_len)) || !TEST_str_eq(name, OSSL_PKEY_EC_ENCODING_EXPLICIT)) goto err; if (!TEST_true(EVP_PKEY_get_utf8_string_param(pkeyparam, OSSL_PKEY_PARAM_EC_FIELD_TYPE, name, sizeof(name), &name_len)) || !TEST_str_eq(name, field_name)) goto err; if (!TEST_true(EVP_PKEY_get_octet_string_param(pkeyparam, OSSL_PKEY_PARAM_EC_GENERATOR, buf, sizeof(buf), &buf_len)) || !TEST_mem_eq(buf, (int)buf_len, gen, gen_size)) goto err; if (!TEST_true(EVP_PKEY_get_bn_param(pkeyparam, OSSL_PKEY_PARAM_EC_P, &p_out)) || !TEST_BN_eq(p_out, p) || !TEST_true(EVP_PKEY_get_bn_param(pkeyparam, OSSL_PKEY_PARAM_EC_A, &a_out)) || !TEST_BN_eq(a_out, a) || !TEST_true(EVP_PKEY_get_bn_param(pkeyparam, OSSL_PKEY_PARAM_EC_B, &b_out)) || !TEST_BN_eq(b_out, b) || !TEST_true(EVP_PKEY_get_bn_param(pkeyparam, OSSL_PKEY_PARAM_EC_ORDER, &order_out)) || !TEST_BN_eq(order_out, EC_GROUP_get0_order(group))) goto err; if (EC_GROUP_get0_cofactor(group) != NULL) { if (!TEST_true(EVP_PKEY_get_bn_param(pkeyparam, OSSL_PKEY_PARAM_EC_COFACTOR, &cofactor_out)) || !TEST_BN_eq(cofactor_out, EC_GROUP_get0_cofactor(group))) goto err; } if (EC_GROUP_get0_seed(group) != NULL) { if (!TEST_true(EVP_PKEY_get_octet_string_param(pkeyparam, OSSL_PKEY_PARAM_EC_SEED, buf, sizeof(buf), &buf_len)) || !TEST_mem_eq(buf, buf_len, EC_GROUP_get0_seed(group), EC_GROUP_get_seed_len(group))) goto err; } if (EC_GROUP_get_field_type(group) == NID_X9_62_prime_field) { /* No extra fields should be set for a prime field */ if (!TEST_false(EVP_PKEY_get_int_param(pkeyparam, OSSL_PKEY_PARAM_EC_CHAR2_M, &i_out)) || !TEST_false(EVP_PKEY_get_int_param(pkeyparam, OSSL_PKEY_PARAM_EC_CHAR2_TP_BASIS, &i_out)) || !TEST_false(EVP_PKEY_get_int_param(pkeyparam, OSSL_PKEY_PARAM_EC_CHAR2_PP_K1, &i_out)) || !TEST_false(EVP_PKEY_get_int_param(pkeyparam, OSSL_PKEY_PARAM_EC_CHAR2_PP_K2, &i_out)) || !TEST_false(EVP_PKEY_get_int_param(pkeyparam, OSSL_PKEY_PARAM_EC_CHAR2_PP_K3, &i_out)) || !TEST_false(EVP_PKEY_get_utf8_string_param(pkeyparam, OSSL_PKEY_PARAM_EC_CHAR2_TYPE, name, sizeof(name), &name_len))) goto err; } else { #ifndef OPENSSL_NO_EC2M if (!TEST_true(EVP_PKEY_get_int_param(pkeyparam, OSSL_PKEY_PARAM_EC_CHAR2_M, &i_out)) || !TEST_int_eq(EC_GROUP_get_degree(group), i_out) || !TEST_true(EVP_PKEY_get_utf8_string_param(pkeyparam, OSSL_PKEY_PARAM_EC_CHAR2_TYPE, name, sizeof(name), &name_len)) || !TEST_str_eq(name, basis_name)) goto err; if (EC_GROUP_get_basis_type(group) == NID_X9_62_tpBasis) { if (!TEST_true(EVP_PKEY_get_int_param(pkeyparam, OSSL_PKEY_PARAM_EC_CHAR2_TP_BASIS, &i_out)) || !TEST_int_eq(k1, i_out) || !TEST_false(EVP_PKEY_get_int_param(pkeyparam, OSSL_PKEY_PARAM_EC_CHAR2_PP_K1, &i_out)) || !TEST_false(EVP_PKEY_get_int_param(pkeyparam, OSSL_PKEY_PARAM_EC_CHAR2_PP_K2, &i_out)) || !TEST_false(EVP_PKEY_get_int_param(pkeyparam, OSSL_PKEY_PARAM_EC_CHAR2_PP_K3, &i_out))) goto err; } else { if (!TEST_false(EVP_PKEY_get_int_param(pkeyparam, OSSL_PKEY_PARAM_EC_CHAR2_TP_BASIS, &i_out)) || !TEST_true(EVP_PKEY_get_int_param(pkeyparam, OSSL_PKEY_PARAM_EC_CHAR2_PP_K1, &i_out)) || !TEST_int_eq(k1, i_out) || !TEST_true(EVP_PKEY_get_int_param(pkeyparam, OSSL_PKEY_PARAM_EC_CHAR2_PP_K2, &i_out)) || !TEST_int_eq(k2, i_out) || !TEST_true(EVP_PKEY_get_int_param(pkeyparam, OSSL_PKEY_PARAM_EC_CHAR2_PP_K3, &i_out)) || !TEST_int_eq(k3, i_out)) goto err; } #endif /* OPENSSL_NO_EC2M */ } if (!TEST_ptr(gettable = EVP_PKEY_gettable_params(pkeyparam)) || !TEST_ptr(OSSL_PARAM_locate_const(gettable, OSSL_PKEY_PARAM_GROUP_NAME)) || !TEST_ptr(OSSL_PARAM_locate_const(gettable, OSSL_PKEY_PARAM_EC_ENCODING)) || !TEST_ptr(OSSL_PARAM_locate_const(gettable, OSSL_PKEY_PARAM_EC_FIELD_TYPE)) || !TEST_ptr(OSSL_PARAM_locate_const(gettable, OSSL_PKEY_PARAM_EC_P)) || !TEST_ptr(OSSL_PARAM_locate_const(gettable, OSSL_PKEY_PARAM_EC_A)) || !TEST_ptr(OSSL_PARAM_locate_const(gettable, OSSL_PKEY_PARAM_EC_B)) || !TEST_ptr(OSSL_PARAM_locate_const(gettable, OSSL_PKEY_PARAM_EC_GENERATOR)) || !TEST_ptr(OSSL_PARAM_locate_const(gettable, OSSL_PKEY_PARAM_EC_ORDER)) || !TEST_ptr(OSSL_PARAM_locate_const(gettable, OSSL_PKEY_PARAM_EC_COFACTOR)) || !TEST_ptr(OSSL_PARAM_locate_const(gettable, OSSL_PKEY_PARAM_EC_SEED)) #ifndef OPENSSL_NO_EC2M || !TEST_ptr(OSSL_PARAM_locate_const(gettable, OSSL_PKEY_PARAM_EC_CHAR2_M)) || !TEST_ptr(OSSL_PARAM_locate_const(gettable, OSSL_PKEY_PARAM_EC_CHAR2_TYPE)) || !TEST_ptr(OSSL_PARAM_locate_const(gettable, OSSL_PKEY_PARAM_EC_CHAR2_TP_BASIS)) || !TEST_ptr(OSSL_PARAM_locate_const(gettable, OSSL_PKEY_PARAM_EC_CHAR2_PP_K1)) || !TEST_ptr(OSSL_PARAM_locate_const(gettable, OSSL_PKEY_PARAM_EC_CHAR2_PP_K2)) || !TEST_ptr(OSSL_PARAM_locate_const(gettable, OSSL_PKEY_PARAM_EC_CHAR2_PP_K3)) #endif ) goto err; ret = 1; err: BN_free(order_out); BN_free(cofactor_out); BN_free(a_out); BN_free(b_out); BN_free(p_out); OSSL_PARAM_BLD_free_params(params); OSSL_PARAM_BLD_free(bld); EVP_PKEY_free(pkeyparam); EVP_PKEY_CTX_free(pctx); 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 = 1 + 2 * bsize; /* UNCOMPRESSED_POINT format */ 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_mem_eq(b1, bsize, b2, bsize)) goto err; if (!do_test_custom_explicit_fromdata(group, ctx, b1, bsize)) goto err; ret = 1; err: EC_POINT_free(Q1); EC_POINT_free(Q2); EC_POINT_free(G2); EC_GROUP_free(group); BN_CTX_end(ctx); BN_CTX_free(ctx); OPENSSL_free(b1); OPENSSL_free(b2); return ret; } /* * check creation of curves from explicit params through the public API */ static int custom_params_test(int id) { int ret = 0, nid, bsize; const char *curve_name = NULL; EC_GROUP *group = NULL, *altgroup = NULL; EC_POINT *G2 = NULL, *Q1 = NULL, *Q2 = NULL; const EC_POINT *Q = NULL; BN_CTX *ctx = NULL; BIGNUM *k = NULL; unsigned char *buf1 = NULL, *buf2 = NULL; const BIGNUM *z = NULL, *cof = NULL, *priv1 = NULL; BIGNUM *p = NULL, *a = NULL, *b = NULL; int is_prime = 0; EC_KEY *eckey1 = NULL, *eckey2 = NULL; EVP_PKEY *pkey1 = NULL, *pkey2 = NULL; EVP_PKEY_CTX *pctx1 = NULL, *pctx2 = NULL; size_t sslen, t; unsigned char *pub1 = NULL , *pub2 = NULL; OSSL_PARAM_BLD *param_bld = NULL; OSSL_PARAM *params1 = NULL, *params2 = NULL; /* Do some setup */ nid = curves[id].nid; curve_name = OBJ_nid2sn(nid); TEST_note("Curve %s", curve_name); if (nid == NID_sm2) return TEST_skip("custom params not supported with SM2"); if (!TEST_ptr(ctx = BN_CTX_new())) return 0; if (!TEST_ptr(group = EC_GROUP_new_by_curve_name(nid))) goto err; is_prime = EC_GROUP_get_field_type(group) == NID_X9_62_prime_field; #ifdef OPENSSL_NO_EC2M if (!is_prime) { ret = TEST_skip("binary curves not supported in this build"); goto err; } #endif BN_CTX_start(ctx); if (!TEST_ptr(p = BN_CTX_get(ctx)) || !TEST_ptr(a = BN_CTX_get(ctx)) || !TEST_ptr(b = BN_CTX_get(ctx)) || !TEST_ptr(k = BN_CTX_get(ctx))) goto err; /* expected byte length of encoded points */ bsize = (EC_GROUP_get_degree(group) + 7) / 8; bsize = 1 + 2 * bsize; /* UNCOMPRESSED_POINT format */ /* extract parameters from built-in curve */ if (!TEST_true(EC_GROUP_get_curve(group, p, a, b, ctx)) || !TEST_ptr(G2 = EC_POINT_new(group)) /* new generator is G2 := 2G */ || !TEST_true(EC_POINT_dbl(group, G2, EC_GROUP_get0_generator(group), ctx)) /* pull out the bytes of that */ || !TEST_int_eq(EC_POINT_point2oct(group, G2, POINT_CONVERSION_UNCOMPRESSED, NULL, 0, ctx), bsize) || !TEST_ptr(buf1 = OPENSSL_malloc(bsize)) || !TEST_int_eq(EC_POINT_point2oct(group, G2, POINT_CONVERSION_UNCOMPRESSED, buf1, bsize, ctx), bsize) || !TEST_ptr(z = EC_GROUP_get0_order(group)) || !TEST_ptr(cof = EC_GROUP_get0_cofactor(group)) ) goto err; /* create a new group using same params (but different generator) */ if (is_prime) { if (!TEST_ptr(altgroup = EC_GROUP_new_curve_GFp(p, a, b, ctx))) goto err; } #ifndef OPENSSL_NO_EC2M else { if (!TEST_ptr(altgroup = EC_GROUP_new_curve_GF2m(p, a, b, ctx))) goto err; } #endif /* set 2*G as the generator of altgroup */ EC_POINT_free(G2); /* discard G2 as it refers to the original group */ if (!TEST_ptr(G2 = EC_POINT_new(altgroup)) || !TEST_true(EC_POINT_oct2point(altgroup, G2, buf1, bsize, ctx)) || !TEST_int_eq(EC_POINT_is_on_curve(altgroup, G2, ctx), 1) || !TEST_true(EC_GROUP_set_generator(altgroup, G2, z, cof)) ) goto err; /* verify math checks out */ if (/* allocate temporary points on group and altgroup */ !TEST_ptr(Q1 = EC_POINT_new(group)) || !TEST_ptr(Q2 = EC_POINT_new(altgroup)) /* 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)) /* Q1 := kG on group */ || !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_int_eq(EC_POINT_point2oct(group, Q1, POINT_CONVERSION_UNCOMPRESSED, buf1, bsize, ctx), bsize) /* k := k/2 */ || !TEST_true(BN_rshift1(k, k)) /* Q2 := k/2 G2 on altgroup */ || !TEST_true(EC_POINT_mul(altgroup, Q2, k, NULL, NULL, ctx)) /* pull out the bytes of that */ || !TEST_int_eq(EC_POINT_point2oct(altgroup, Q2, POINT_CONVERSION_UNCOMPRESSED, NULL, 0, ctx), bsize) || !TEST_ptr(buf2 = OPENSSL_malloc(bsize)) || !TEST_int_eq(EC_POINT_point2oct(altgroup, Q2, POINT_CONVERSION_UNCOMPRESSED, buf2, bsize, ctx), bsize) /* Q1 = kG = k/2 G2 = Q2 should hold */ || !TEST_mem_eq(buf1, bsize, buf2, bsize)) goto err; /* create two `EC_KEY`s on altgroup */ if (!TEST_ptr(eckey1 = EC_KEY_new()) || !TEST_true(EC_KEY_set_group(eckey1, altgroup)) || !TEST_true(EC_KEY_generate_key(eckey1)) || !TEST_ptr(eckey2 = EC_KEY_new()) || !TEST_true(EC_KEY_set_group(eckey2, altgroup)) || !TEST_true(EC_KEY_generate_key(eckey2))) goto err; /* retrieve priv1 for later */ if (!TEST_ptr(priv1 = EC_KEY_get0_private_key(eckey1))) goto err; /* * retrieve bytes for pub1 for later * * We compute the pub key in the original group as we will later use it to * define a provider key in the built-in group. */ if (!TEST_true(EC_POINT_mul(group, Q1, priv1, NULL, NULL, ctx)) || !TEST_int_eq(EC_POINT_point2oct(group, Q1, POINT_CONVERSION_UNCOMPRESSED, NULL, 0, ctx), bsize) || !TEST_ptr(pub1 = OPENSSL_malloc(bsize)) || !TEST_int_eq(EC_POINT_point2oct(group, Q1, POINT_CONVERSION_UNCOMPRESSED, pub1, bsize, ctx), bsize)) goto err; /* retrieve bytes for pub2 for later */ if (!TEST_ptr(Q = EC_KEY_get0_public_key(eckey2)) || !TEST_int_eq(EC_POINT_point2oct(altgroup, Q, POINT_CONVERSION_UNCOMPRESSED, NULL, 0, ctx), bsize) || !TEST_ptr(pub2 = OPENSSL_malloc(bsize)) || !TEST_int_eq(EC_POINT_point2oct(altgroup, Q, POINT_CONVERSION_UNCOMPRESSED, pub2, bsize, ctx), bsize)) goto err; /* create two `EVP_PKEY`s from the `EC_KEY`s */ if(!TEST_ptr(pkey1 = EVP_PKEY_new()) || !TEST_int_eq(EVP_PKEY_assign_EC_KEY(pkey1, eckey1), 1)) goto err; eckey1 = NULL; /* ownership passed to pkey1 */ if(!TEST_ptr(pkey2 = EVP_PKEY_new()) || !TEST_int_eq(EVP_PKEY_assign_EC_KEY(pkey2, eckey2), 1)) goto err; eckey2 = NULL; /* ownership passed to pkey2 */ /* Compute keyexchange in both directions */ if (!TEST_ptr(pctx1 = EVP_PKEY_CTX_new(pkey1, NULL)) || !TEST_int_eq(EVP_PKEY_derive_init(pctx1), 1) || !TEST_int_eq(EVP_PKEY_derive_set_peer(pctx1, pkey2), 1) || !TEST_int_eq(EVP_PKEY_derive(pctx1, NULL, &sslen), 1) || !TEST_int_gt(bsize, sslen) || !TEST_int_eq(EVP_PKEY_derive(pctx1, buf1, &sslen), 1)) goto err; if (!TEST_ptr(pctx2 = EVP_PKEY_CTX_new(pkey2, NULL)) || !TEST_int_eq(EVP_PKEY_derive_init(pctx2), 1) || !TEST_int_eq(EVP_PKEY_derive_set_peer(pctx2, pkey1), 1) || !TEST_int_eq(EVP_PKEY_derive(pctx2, NULL, &t), 1) || !TEST_int_gt(bsize, t) || !TEST_int_le(sslen, t) || !TEST_int_eq(EVP_PKEY_derive(pctx2, buf2, &t), 1)) goto err; /* Both sides should expect the same shared secret */ if (!TEST_mem_eq(buf1, sslen, buf2, t)) goto err; /* Build parameters for provider-native keys */ if (!TEST_ptr(param_bld = OSSL_PARAM_BLD_new()) || !TEST_true(OSSL_PARAM_BLD_push_utf8_string(param_bld, OSSL_PKEY_PARAM_GROUP_NAME, curve_name, 0)) || !TEST_true(OSSL_PARAM_BLD_push_octet_string(param_bld, OSSL_PKEY_PARAM_PUB_KEY, pub1, bsize)) || !TEST_true(OSSL_PARAM_BLD_push_BN(param_bld, OSSL_PKEY_PARAM_PRIV_KEY, priv1)) || !TEST_ptr(params1 = OSSL_PARAM_BLD_to_param(param_bld))) goto err; OSSL_PARAM_BLD_free(param_bld); if (!TEST_ptr(param_bld = OSSL_PARAM_BLD_new()) || !TEST_true(OSSL_PARAM_BLD_push_utf8_string(param_bld, OSSL_PKEY_PARAM_GROUP_NAME, curve_name, 0)) || !TEST_true(OSSL_PARAM_BLD_push_octet_string(param_bld, OSSL_PKEY_PARAM_PUB_KEY, pub2, bsize)) || !TEST_ptr(params2 = OSSL_PARAM_BLD_to_param(param_bld))) goto err; /* create two new provider-native `EVP_PKEY`s */ EVP_PKEY_CTX_free(pctx2); if (!TEST_ptr(pctx2 = EVP_PKEY_CTX_new_from_name(NULL, "EC", NULL)) || !TEST_true(EVP_PKEY_fromdata_init(pctx2)) || !TEST_true(EVP_PKEY_fromdata(pctx2, &pkey1, EVP_PKEY_KEYPAIR, params1)) || !TEST_true(EVP_PKEY_fromdata(pctx2, &pkey2, EVP_PKEY_PUBLIC_KEY, params2))) goto err; /* compute keyexchange once more using the provider keys */ EVP_PKEY_CTX_free(pctx1); if (!TEST_ptr(pctx1 = EVP_PKEY_CTX_new(pkey1, NULL)) || !TEST_int_eq(EVP_PKEY_derive_init(pctx1), 1) || !TEST_int_eq(EVP_PKEY_derive_set_peer(pctx1, pkey2), 1) || !TEST_int_eq(EVP_PKEY_derive(pctx1, NULL, &t), 1) || !TEST_int_gt(bsize, t) || !TEST_int_le(sslen, t) || !TEST_int_eq(EVP_PKEY_derive(pctx1, buf1, &t), 1) /* compare with previous result */ || !TEST_mem_eq(buf1, t, buf2, sslen)) goto err; ret = 1; err: BN_CTX_end(ctx); BN_CTX_free(ctx); OSSL_PARAM_BLD_free(param_bld); OSSL_PARAM_BLD_free_params(params1); OSSL_PARAM_BLD_free_params(params2); EC_POINT_free(Q1); EC_POINT_free(Q2); EC_POINT_free(G2); EC_GROUP_free(group); EC_GROUP_free(altgroup); OPENSSL_free(buf1); OPENSSL_free(buf2); OPENSSL_free(pub1); OPENSSL_free(pub2); EC_KEY_free(eckey1); EC_KEY_free(eckey2); EVP_PKEY_free(pkey1); EVP_PKEY_free(pkey2); EVP_PKEY_CTX_free(pctx1); EVP_PKEY_CTX_free(pctx2); return ret; } int setup_tests(void) { 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 ADD_ALL_TESTS(nistp_single_test, OSSL_NELEM(nistp_tests_params)); ADD_ALL_TESTS(internal_curve_test, crv_len); ADD_ALL_TESTS(internal_curve_test_method, crv_len); ADD_TEST(group_field_test); ADD_ALL_TESTS(check_named_curve_test, crv_len); ADD_ALL_TESTS(check_named_curve_lookup_test, crv_len); ADD_ALL_TESTS(check_ec_key_field_public_range_test, 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); ADD_ALL_TESTS(custom_params_test, crv_len); return 1; } void cleanup_tests(void) { OPENSSL_free(curves); }