| /* |
| * 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 <string.h> |
| #include "internal/nelem.h" |
| #include "testutil.h" |
| |
| #include <openssl/ec.h> |
| #ifndef OPENSSL_NO_ENGINE |
| # include <openssl/engine.h> |
| #endif |
| #include <openssl/err.h> |
| #include <openssl/obj_mac.h> |
| #include <openssl/objects.h> |
| #include <openssl/rand.h> |
| #include <openssl/bn.h> |
| #include <openssl/opensslconf.h> |
| #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()) |
| || !TEST_true(BN_hex2bn(&p, "17")) |
| || !TEST_true(BN_hex2bn(&a, "1")) |
| || !TEST_true(BN_hex2bn(&b, "1")) |
| || !TEST_ptr(group = EC_GROUP_new_curve_GFp(p, a, b, ctx)) |
| || !TEST_true(EC_GROUP_get_curve(group, p, a, b, ctx))) |
| goto err; |
| |
| TEST_info("Curve defined by Weierstrass equation"); |
| TEST_note(" y^2 = x^3 + a*x + b (mod p)"); |
| test_output_bignum("a", a); |
| test_output_bignum("b", b); |
| test_output_bignum("p", p); |
| |
| 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_true(EC_POINT_set_to_infinity(group, P)) |
| || !TEST_true(EC_POINT_is_at_infinity(group, P)) |
| || !TEST_true(EC_POINT_oct2point(group, Q, buf, 1, ctx)) |
| || !TEST_true(EC_POINT_add(group, P, P, Q, ctx)) |
| || !TEST_true(EC_POINT_is_at_infinity(group, P)) |
| || !TEST_ptr(x = BN_new()) |
| || !TEST_ptr(y = BN_new()) |
| || !TEST_ptr(z = BN_new()) |
| || !TEST_ptr(yplusone = BN_new()) |
| || !TEST_true(BN_hex2bn(&x, "D")) |
| || !TEST_true(EC_POINT_set_compressed_coordinates(group, Q, x, 1, ctx))) |
| goto err; |
| |
| if (!TEST_int_gt(EC_POINT_is_on_curve(group, Q, ctx), 0)) { |
| if (!TEST_true(EC_POINT_get_affine_coordinates(group, Q, x, y, ctx))) |
| goto err; |
| TEST_info("Point is not on curve"); |
| test_output_bignum("x", x); |
| test_output_bignum("y", y); |
| goto err; |
| } |
| |
| TEST_note("A cyclic subgroup:"); |
| k = 100; |
| do { |
| if (!TEST_int_ne(k--, 0)) |
| goto err; |
| |
| if (EC_POINT_is_at_infinity(group, P)) { |
| TEST_note(" point at infinity"); |
| } else { |
| if (!TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y, |
| ctx))) |
| goto err; |
| |
| test_output_bignum("x", x); |
| test_output_bignum("y", y); |
| } |
| |
| if (!TEST_true(EC_POINT_copy(R, P)) |
| || !TEST_true(EC_POINT_add(group, P, P, Q, ctx))) |
| goto err; |
| |
| } while (!EC_POINT_is_at_infinity(group, P)); |
| |
| if (!TEST_true(EC_POINT_add(group, P, Q, R, ctx)) |
| || !TEST_true(EC_POINT_is_at_infinity(group, P))) |
| goto err; |
| |
| len = |
| EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, |
| sizeof(buf), ctx); |
| if (!TEST_size_t_ne(len, 0) |
| || !TEST_true(EC_POINT_oct2point(group, P, buf, len, ctx)) |
| || !TEST_int_eq(0, EC_POINT_cmp(group, P, Q, ctx))) |
| goto err; |
| test_output_memory("Generator as octet string, compressed form:", |
| buf, len); |
| |
| len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, |
| buf, sizeof(buf), ctx); |
| if (!TEST_size_t_ne(len, 0) |
| || !TEST_true(EC_POINT_oct2point(group, P, buf, len, ctx)) |
| || !TEST_int_eq(0, EC_POINT_cmp(group, P, Q, ctx))) |
| goto err; |
| test_output_memory("Generator as octet string, uncompressed form:", |
| buf, len); |
| |
| len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, |
| buf, sizeof(buf), ctx); |
| if (!TEST_size_t_ne(len, 0) |
| || !TEST_true(EC_POINT_oct2point(group, P, buf, len, ctx)) |
| || !TEST_int_eq(0, EC_POINT_cmp(group, P, Q, ctx))) |
| goto err; |
| test_output_memory("Generator as octet string, hybrid form:", |
| buf, len); |
| |
| if (!TEST_true(EC_POINT_invert(group, P, ctx)) |
| || !TEST_int_eq(0, EC_POINT_cmp(group, P, R, ctx)) |
| |
| /* |
| * Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2, |
| * 2000) -- not a NIST curve, but commonly used |
| */ |
| |
| || !TEST_true(BN_hex2bn(&p, "FFFFFFFF" |
| "FFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF")) |
| || !TEST_int_eq(1, BN_check_prime(p, ctx, NULL)) |
| || !TEST_true(BN_hex2bn(&a, "FFFFFFFF" |
| "FFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC")) |
| || !TEST_true(BN_hex2bn(&b, "1C97BEFC" |
| "54BD7A8B65ACF89F81D4D4ADC565FA45")) |
| || !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx)) |
| || !TEST_true(BN_hex2bn(&x, "4A96B568" |
| "8EF573284664698968C38BB913CBFC82")) |
| || !TEST_true(BN_hex2bn(&y, "23a62855" |
| "3168947d59dcc912042351377ac5fb32")) |
| || !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_true(EC_POINT_set_affine_coordinates(group, P, x, y, ctx)) |
| || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0) |
| || !TEST_true(BN_hex2bn(&z, "0100000000" |
| "000000000001F4C8F927AED3CA752257")) |
| || !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("SEC2 curve secp160r1 -- Generator"); |
| test_output_bignum("x", x); |
| test_output_bignum("y", y); |
| /* G_y value taken from the standard: */ |
| if (!TEST_true(BN_hex2bn(&z, "23a62855" |
| "3168947d59dcc912042351377ac5fb32")) |
| || !TEST_BN_eq(y, z) |
| || !TEST_int_eq(EC_GROUP_get_degree(group), 160) |
| || !group_order_tests(group) |
| |
| /* Curve P-192 (FIPS PUB 186-2, App. 6) */ |
| |
| || !TEST_true(BN_hex2bn(&p, "FFFFFFFFFFFFFFFF" |
| "FFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF")) |
| || !TEST_int_eq(1, BN_check_prime(p, ctx, NULL)) |
| || !TEST_true(BN_hex2bn(&a, "FFFFFFFFFFFFFFFF" |
| "FFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC")) |
| || !TEST_true(BN_hex2bn(&b, "64210519E59C80E7" |
| "0FA7E9AB72243049FEB8DEECC146B9B1")) |
| || !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx)) |
| || !TEST_true(BN_hex2bn(&x, "188DA80EB03090F6" |
| "7CBF20EB43A18800F4FF0AFD82FF1012")) |
| || !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, "FFFFFFFFFFFFFFFF" |
| "FFFFFFFF99DEF836146BC9B1B4D22831")) |
| || !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-192 -- Generator"); |
| test_output_bignum("x", x); |
| test_output_bignum("y", y); |
| /* G_y value taken from the standard: */ |
| if (!TEST_true(BN_hex2bn(&z, "07192B95FFC8DA78" |
| "631011ED6B24CDD573F977A11E794811")) |
| || !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), 192) |
| || !group_order_tests(group) |
| |
| /* Curve P-224 (FIPS PUB 186-2, App. 6) */ |
| |
| || !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; |
| } |
| |
| #ifndef OPENSSL_NO_EC2M |
| |
| static struct c2_curve_test { |
| const char *name; |
| const char *p; |
| const char *a; |
| const char *b; |
| const char *x; |
| const char *y; |
| int ybit; |
| const char *order; |
| const char *cof; |
| int degree; |
| } char2_curve_tests[] = { |
| /* Curve K-163 (FIPS PUB 186-2, App. 6) */ |
| { |
| "NIST curve K-163", |
| "0800000000000000000000000000000000000000C9", |
| "1", |
| "1", |
| "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8", |
| "0289070FB05D38FF58321F2E800536D538CCDAA3D9", |
| 1, "04000000000000000000020108A2E0CC0D99F8A5EF", "2", 163 |
| }, |
| /* Curve B-163 (FIPS PUB 186-2, App. 6) */ |
| { |
| "NIST curve B-163", |
| "0800000000000000000000000000000000000000C9", |
| "1", |
| "020A601907B8C953CA1481EB10512F78744A3205FD", |
| "03F0EBA16286A2D57EA0991168D4994637E8343E36", |
| "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1", |
| 1, "040000000000000000000292FE77E70C12A4234C33", "2", 163 |
| }, |
| /* Curve K-233 (FIPS PUB 186-2, App. 6) */ |
| { |
| "NIST curve K-233", |
| "020000000000000000000000000000000000000004000000000000000001", |
| "0", |
| "1", |
| "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126", |
| "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3", |
| 0, |
| "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF", |
| "4", 233 |
| }, |
| /* Curve B-233 (FIPS PUB 186-2, App. 6) */ |
| { |
| "NIST curve B-233", |
| "020000000000000000000000000000000000000004000000000000000001", |
| "000000000000000000000000000000000000000000000000000000000001", |
| "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD", |
| "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B", |
| "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052", |
| 1, |
| "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7", |
| "2", 233 |
| }, |
| /* Curve K-283 (FIPS PUB 186-2, App. 6) */ |
| { |
| "NIST curve K-283", |
| "08000000" |
| "00000000000000000000000000000000000000000000000000000000000010A1", |
| "0", |
| "1", |
| "0503213F" |
| "78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836", |
| "01CCDA38" |
| "0F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259", |
| 0, |
| "01FFFFFF" |
| "FFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61", |
| "4", 283 |
| }, |
| /* Curve B-283 (FIPS PUB 186-2, App. 6) */ |
| { |
| "NIST curve B-283", |
| "08000000" |
| "00000000000000000000000000000000000000000000000000000000000010A1", |
| "00000000" |
| "0000000000000000000000000000000000000000000000000000000000000001", |
| "027B680A" |
| "C8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5", |
| "05F93925" |
| "8DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053", |
| "03676854" |
| "FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4", |
| 1, |
| "03FFFFFF" |
| "FFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307", |
| "2", 283 |
| }, |
| /* Curve K-409 (FIPS PUB 186-2, App. 6) */ |
| { |
| "NIST curve K-409", |
| "0200000000000000000000000000000000000000" |
| "0000000000000000000000000000000000000000008000000000000000000001", |
| "0", |
| "1", |
| "0060F05F658F49C1AD3AB1890F7184210EFD0987" |
| "E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746", |
| "01E369050B7C4E42ACBA1DACBF04299C3460782F" |
| "918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B", |
| 1, |
| "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" |
| "FFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF", |
| "4", 409 |
| }, |
| /* Curve B-409 (FIPS PUB 186-2, App. 6) */ |
| { |
| "NIST curve B-409", |
| "0200000000000000000000000000000000000000" |
| "0000000000000000000000000000000000000000008000000000000000000001", |
| "0000000000000000000000000000000000000000" |
| "0000000000000000000000000000000000000000000000000000000000000001", |
| "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422E" |
| "F1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F", |
| "015D4860D088DDB3496B0C6064756260441CDE4A" |
| "F1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7", |
| "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5" |
| "A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706", |
| 1, |
| "0100000000000000000000000000000000000000" |
| "00000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173", |
| "2", 409 |
| }, |
| /* Curve K-571 (FIPS PUB 186-2, App. 6) */ |
| { |
| "NIST curve K-571", |
| "800000000000000" |
| "0000000000000000000000000000000000000000000000000000000000000000" |
| "0000000000000000000000000000000000000000000000000000000000000425", |
| "0", |
| "1", |
| "026EB7A859923FBC" |
| "82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E6" |
| "47DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972", |
| "0349DC807F4FBF37" |
| "4F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA7" |
| "4FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3", |
| 0, |
| "0200000000000000" |
| "00000000000000000000000000000000000000000000000000000000131850E1" |
| "F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001", |
| "4", 571 |
| }, |
| /* Curve B-571 (FIPS PUB 186-2, App. 6) */ |
| { |
| "NIST curve B-571", |
| "800000000000000" |
| "0000000000000000000000000000000000000000000000000000000000000000" |
| "0000000000000000000000000000000000000000000000000000000000000425", |
| "0000000000000000" |
| "0000000000000000000000000000000000000000000000000000000000000000" |
| "0000000000000000000000000000000000000000000000000000000000000001", |
| "02F40E7E2221F295" |
| "DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA5933" |
| "2BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A", |
| "0303001D34B85629" |
| "6C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293" |
| "CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19", |
| "037BF27342DA639B" |
| "6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A57" |
| "6291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B", |
| 1, |
| "03FFFFFFFFFFFFFF" |
| "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18" |
| "FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47", |
| "2", 571 |
| } |
| }; |
| |
| static int char2_curve_test(int n) |
| { |
| int r = 0; |
| BN_CTX *ctx = NULL; |
| BIGNUM *p = NULL, *a = NULL, *b = NULL; |
| BIGNUM *x = NULL, *y = NULL, *z = NULL, *cof = NULL, *yplusone = NULL; |
| EC_GROUP *group = NULL; |
| EC_POINT *P = NULL, *Q = NULL, *R = NULL; |
| # ifndef OPENSSL_NO_DEPRECATED_3_0 |
| const EC_POINT *points[3]; |
| const BIGNUM *scalars[3]; |
| # endif |
| struct c2_curve_test *const test = char2_curve_tests + n; |
| |
| 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(z = BN_new()) |
| || !TEST_ptr(yplusone = BN_new()) |
| || !TEST_true(BN_hex2bn(&p, test->p)) |
| || !TEST_true(BN_hex2bn(&a, test->a)) |
| || !TEST_true(BN_hex2bn(&b, test->b)) |
| || !TEST_true(group = EC_GROUP_new_curve_GF2m(p, a, b, ctx)) |
| || !TEST_ptr(P = EC_POINT_new(group)) |
| || !TEST_ptr(Q = EC_POINT_new(group)) |
| || !TEST_ptr(R = EC_POINT_new(group)) |
| || !TEST_true(BN_hex2bn(&x, test->x)) |
| || !TEST_true(BN_hex2bn(&y, test->y)) |
| || !TEST_true(BN_add(yplusone, y, BN_value_one()))) |
| goto err; |
| |
| /* Change test based on whether binary point compression is enabled or not. */ |
| # ifdef OPENSSL_EC_BIN_PT_COMP |
| /* |
| * When (x, y) is on the curve, (x, y + 1) is, as it happens, not, |
| * and therefore setting the coordinates should fail. |
| */ |
| if (!TEST_false(EC_POINT_set_affine_coordinates(group, P, x, yplusone, ctx)) |
| || !TEST_true(EC_POINT_set_compressed_coordinates(group, P, x, |
| test->y_bit, |
| ctx)) |
| || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0) |
| || !TEST_true(BN_hex2bn(&z, test->order)) |
| || !TEST_true(BN_hex2bn(&cof, test->cof)) |
| || !TEST_true(EC_GROUP_set_generator(group, P, z, cof)) |
| || !TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y, ctx))) |
| goto err; |
| TEST_info("%s -- Generator", test->name); |
| test_output_bignum("x", x); |
| test_output_bignum("y", y); |
| /* G_y value taken from the standard: */ |
| if (!TEST_true(BN_hex2bn(&z, test->y)) |
| || !TEST_BN_eq(y, z)) |
| goto err; |
| # else |
| /* |
| * When (x, y) is on the curve, (x, y + 1) is, as it happens, not, |
| * and therefore setting the coordinates should fail. |
| */ |
| if (!TEST_false(EC_POINT_set_affine_coordinates(group, P, x, yplusone, ctx)) |
| || !TEST_true(EC_POINT_set_affine_coordinates(group, P, x, y, ctx)) |
| || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0) |
| || !TEST_true(BN_hex2bn(&z, test->order)) |
| || !TEST_true(BN_hex2bn(&cof, test->cof)) |
| || !TEST_true(EC_GROUP_set_generator(group, P, z, cof))) |
| goto err; |
| TEST_info("%s -- Generator:", test->name); |
| test_output_bignum("x", x); |
| test_output_bignum("y", y); |
| # endif |
| |
| if (!TEST_int_eq(EC_GROUP_get_degree(group), test->degree) |
| || !group_order_tests(group)) |
| goto err; |
| |
| /* more tests using the last curve */ |
| if (n == OSSL_NELEM(char2_curve_tests) - 1) { |
| if (!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; |
| |
| if (!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))) |
| goto err; |
| |
| if (!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))) |
| goto err; |
| |
| if (!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_true(EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx)) |
| || !TEST_true(EC_POINT_is_at_infinity(group, P))) |
| goto err; |
| # endif |
| } |
| |
| r = 1; |
| err: |
| BN_CTX_free(ctx); |
| BN_free(p); |
| BN_free(a); |
| BN_free(b); |
| BN_free(x); |
| BN_free(y); |
| BN_free(z); |
| BN_free(yplusone); |
| BN_free(cof); |
| EC_POINT_free(P); |
| EC_POINT_free(Q); |
| EC_POINT_free(R); |
| EC_GROUP_free(group); |
| return r; |
| } |
| |
| static int char2_field_tests(void) |
| { |
| BN_CTX *ctx = NULL; |
| BIGNUM *p = NULL, *a = NULL, *b = NULL; |
| EC_GROUP *group = NULL; |
| EC_POINT *P = NULL, *Q = NULL, *R = NULL; |
| BIGNUM *x = NULL, *y = NULL, *z = NULL, *cof = NULL, *yplusone = NULL; |
| unsigned char buf[100]; |
| size_t len; |
| int k, r = 0; |
| |
| if (!TEST_ptr(ctx = BN_CTX_new()) |
| || !TEST_ptr(p = BN_new()) |
| || !TEST_ptr(a = BN_new()) |
| || !TEST_ptr(b = BN_new()) |
| || !TEST_true(BN_hex2bn(&p, "13")) |
| || !TEST_true(BN_hex2bn(&a, "3")) |
| || !TEST_true(BN_hex2bn(&b, "1"))) |
| goto err; |
| |
| if (!TEST_ptr(group = EC_GROUP_new_curve_GF2m(p, a, b, ctx)) |
| || !TEST_true(EC_GROUP_get_curve(group, p, a, b, ctx))) |
| goto err; |
| |
| TEST_info("Curve defined by Weierstrass equation"); |
| TEST_note(" y^2 + x*y = x^3 + a*x^2 + b (mod p)"); |
| test_output_bignum("a", a); |
| test_output_bignum("b", b); |
| test_output_bignum("p", p); |
| |
| if (!TEST_ptr(P = EC_POINT_new(group)) |
| || !TEST_ptr(Q = EC_POINT_new(group)) |
| || !TEST_ptr(R = EC_POINT_new(group)) |
| || !TEST_true(EC_POINT_set_to_infinity(group, P)) |
| || !TEST_true(EC_POINT_is_at_infinity(group, P))) |
| goto err; |
| |
| buf[0] = 0; |
| if (!TEST_true(EC_POINT_oct2point(group, Q, buf, 1, ctx)) |
| || !TEST_true(EC_POINT_add(group, P, P, Q, ctx)) |
| || !TEST_true(EC_POINT_is_at_infinity(group, P)) |
| || !TEST_ptr(x = BN_new()) |
| || !TEST_ptr(y = BN_new()) |
| || !TEST_ptr(z = BN_new()) |
| || !TEST_ptr(cof = BN_new()) |
| || !TEST_ptr(yplusone = BN_new()) |
| || !TEST_true(BN_hex2bn(&x, "6")) |
| /* Change test based on whether binary point compression is enabled or not. */ |
| # ifdef OPENSSL_EC_BIN_PT_COMP |
| || !TEST_true(EC_POINT_set_compressed_coordinates(group, Q, x, 1, ctx)) |
| # else |
| || !TEST_true(BN_hex2bn(&y, "8")) |
| || !TEST_true(EC_POINT_set_affine_coordinates(group, Q, x, y, ctx)) |
| # endif |
| ) |
| goto err; |
| if (!TEST_int_gt(EC_POINT_is_on_curve(group, Q, ctx), 0)) { |
| /* Change test based on whether binary point compression is enabled or not. */ |
| # ifdef OPENSSL_EC_BIN_PT_COMP |
| if (!TEST_true(EC_POINT_get_affine_coordinates(group, Q, x, y, ctx))) |
| goto err; |
| # endif |
| TEST_info("Point is not on curve"); |
| test_output_bignum("x", x); |
| test_output_bignum("y", y); |
| goto err; |
| } |
| |
| TEST_note("A cyclic subgroup:"); |
| k = 100; |
| do { |
| if (!TEST_int_ne(k--, 0)) |
| goto err; |
| |
| if (EC_POINT_is_at_infinity(group, P)) |
| TEST_note(" point at infinity"); |
| else { |
| if (!TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y, |
| ctx))) |
| goto err; |
| |
| test_output_bignum("x", x); |
| test_output_bignum("y", y); |
| } |
| |
| if (!TEST_true(EC_POINT_copy(R, P)) |
| || !TEST_true(EC_POINT_add(group, P, P, Q, ctx))) |
| goto err; |
| } |
| while (!EC_POINT_is_at_infinity(group, P)); |
| |
| if (!TEST_true(EC_POINT_add(group, P, Q, R, ctx)) |
| || !TEST_true(EC_POINT_is_at_infinity(group, P))) |
| goto err; |
| |
| /* Change test based on whether binary point compression is enabled or not. */ |
| # ifdef OPENSSL_EC_BIN_PT_COMP |
| len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, |
| buf, sizeof(buf), ctx); |
| if (!TEST_size_t_ne(len, 0) |
| || !TEST_true(EC_POINT_oct2point(group, P, buf, len, ctx)) |
| || !TEST_int_eq(0, EC_POINT_cmp(group, P, Q, ctx))) |
| goto err; |
| test_output_memory("Generator as octet string, compressed form:", |
| buf, len); |
| # endif |
| |
| len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, |
| buf, sizeof(buf), ctx); |
| if (!TEST_size_t_ne(len, 0) |
| || !TEST_true(EC_POINT_oct2point(group, P, buf, len, ctx)) |
| || !TEST_int_eq(0, EC_POINT_cmp(group, P, Q, ctx))) |
| goto err; |
| test_output_memory("Generator as octet string, uncompressed form:", |
| buf, len); |
| |
| /* Change test based on whether binary point compression is enabled or not. */ |
| # ifdef OPENSSL_EC_BIN_PT_COMP |
| len = |
| EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof(buf), |
| ctx); |
| if (!TEST_size_t_ne(len, 0) |
| || !TEST_true(EC_POINT_oct2point(group, P, buf, len, ctx)) |
| || !TEST_int_eq(0, EC_POINT_cmp(group, P, Q, ctx))) |
| goto err; |
| test_output_memory("Generator as octet string, hybrid form:", |
| buf, len); |
| # endif |
| |
| if (!TEST_true(EC_POINT_invert(group, P, ctx)) |
| || !TEST_int_eq(0, EC_POINT_cmp(group, P, R, ctx))) |
| goto err; |
| |
| TEST_note("\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(cof); |
| BN_free(yplusone); |
| return r; |
| } |
| |
| static int hybrid_point_encoding_test(void) |
| { |
| BIGNUM *x = NULL, *y = NULL; |
| EC_GROUP *group = NULL; |
| EC_POINT *point = NULL; |
| unsigned char *buf = NULL; |
| size_t len; |
| int r = 0; |
| |
| if (!TEST_true(BN_dec2bn(&x, "0")) |
| || !TEST_true(BN_dec2bn(&y, "1")) |
| || !TEST_ptr(group = EC_GROUP_new_by_curve_name(NID_sect571k1)) |
| || !TEST_ptr(point = EC_POINT_new(group)) |
| || !TEST_true(EC_POINT_set_affine_coordinates(group, point, x, y, NULL)) |
| || !TEST_size_t_ne(0, (len = EC_POINT_point2oct(group, |
| point, |
| POINT_CONVERSION_HYBRID, |
| NULL, |
| 0, |
| NULL))) |
| || !TEST_ptr(buf = OPENSSL_malloc(len)) |
| || !TEST_size_t_eq(len, EC_POINT_point2oct(group, |
| point, |
| POINT_CONVERSION_HYBRID, |
| buf, |
| len, |
| NULL))) |
| goto err; |
| |
| r = 1; |
| |
| /* buf contains a valid hybrid point, check that we can decode it. */ |
| if (!TEST_true(EC_POINT_oct2point(group, point, buf, len, NULL))) |
| r = 0; |
| |
| /* Flip the y_bit and verify that the invalid encoding is rejected. */ |
| buf[0] ^= 1; |
| if (!TEST_false(EC_POINT_oct2point(group, point, buf, len, NULL))) |
| r = 0; |
| |
| err: |
| BN_free(x); |
| BN_free(y); |
| EC_GROUP_free(group); |
| EC_POINT_free(point); |
| OPENSSL_free(buf); |
| return r; |
| } |
| #endif |
| |
| 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 |