diff options
Diffstat (limited to 'openssl-freefilesync/ectest.c')
| -rw-r--r-- | openssl-freefilesync/ectest.c | 920 |
1 files changed, 920 insertions, 0 deletions
diff --git a/openssl-freefilesync/ectest.c b/openssl-freefilesync/ectest.c new file mode 100644 index 0000000..53adf88 --- /dev/null +++ b/openssl-freefilesync/ectest.c @@ -0,0 +1,920 @@ +/* + * Copyright 2001-2019 The OpenSSL Project Authors. All Rights Reserved. + * Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved + * + * Licensed under the OpenSSL license (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 + */ + +#include "internal/nelem.h" +#include "testutil.h" + +#ifndef OPENSSL_NO_EC +# 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> + +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)) + || !TEST_true(EC_GROUP_precompute_mult(group, ctx)) + || !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++) { + const BIGNUM *scalars[6]; + const EC_POINT *points[6]; + + 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)) + + /* Exercise EC_POINTs_mul, including corner cases. */ + || !TEST_false(EC_POINT_is_at_infinity(group, P))) + goto err; + + 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; + } + + 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, *tmp = NULL; + EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, + *P_256 = NULL, *P_384 = NULL, *P_521 = NULL; + EC_POINT *P = NULL, *Q = NULL, *R = NULL; + BIGNUM *x = NULL, *y = NULL, *z = NULL, *yplusone = NULL; + const EC_POINT *points[4]; + const BIGNUM *scalars[4]; + unsigned char buf[100]; + size_t len, r = 0; + int k; + + if (!TEST_ptr(ctx = BN_CTX_new()) + || !TEST_ptr(p = BN_new()) + || !TEST_ptr(a = BN_new()) + || !TEST_ptr(b = BN_new()) + /* + * applications should use EC_GROUP_new_curve_GFp so + * that the library gets to choose the EC_METHOD + */ + || !TEST_ptr(group = EC_GROUP_new(EC_GFp_mont_method())) + || !TEST_ptr(tmp = EC_GROUP_new(EC_GROUP_method_of(group))) + || !TEST_true(EC_GROUP_copy(tmp, group))) + goto err; + EC_GROUP_free(group); + group = tmp; + tmp = NULL; + + buf[0] = 0; + if (!TEST_ptr(P = EC_POINT_new(group)) + || !TEST_ptr(Q = EC_POINT_new(group)) + || !TEST_ptr(R = EC_POINT_new(group)) + || !TEST_ptr(x = BN_new()) + || !TEST_ptr(y = BN_new()) + || !TEST_ptr(z = BN_new()) + || !TEST_ptr(yplusone = BN_new())) + goto err; + + /* Curve P-224 (FIPS PUB 186-2, App. 6) */ + + if (!TEST_true(BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFF" + "FFFFFFFF000000000000000000000001")) + || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, 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) + || !TEST_ptr(P_224 = EC_GROUP_new(EC_GROUP_method_of(group))) + || !TEST_true(EC_GROUP_copy(P_224, group)) + + /* Curve P-256 (FIPS PUB 186-2, App. 6) */ + + || !TEST_true(BN_hex2bn(&p, "FFFFFFFF000000010000000000000000" + "00000000FFFFFFFFFFFFFFFFFFFFFFFF")) + || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, 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) + || !TEST_ptr(P_256 = EC_GROUP_new(EC_GROUP_method_of(group))) + || !TEST_true(EC_GROUP_copy(P_256, group)) + + /* Curve P-384 (FIPS PUB 186-2, App. 6) */ + + || !TEST_true(BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE" + "FFFFFFFF0000000000000000FFFFFFFF")) + || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, 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) + || !TEST_ptr(P_384 = EC_GROUP_new(EC_GROUP_method_of(group))) + || !TEST_true(EC_GROUP_copy(P_384, group)) + + /* Curve P-521 (FIPS PUB 186-2, App. 6) */ + || !TEST_true(BN_hex2bn(&p, "1FF" + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF")) + || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) + || !TEST_true(BN_hex2bn(&a, "1FF" + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFC")) + || !TEST_true(BN_hex2bn(&b, "051" + "953EB9618E1C9A1F929A21A0B68540EE" + "A2DA725B99B315F3B8B489918EF109E1" + "56193951EC7E937B1652C0BD3BB1BF07" + "3573DF883D2C34F1EF451FD46B503F00")) + || !TEST_true(EC_GROUP_set_curve(group, p, a, b, ctx)) + || !TEST_true(BN_hex2bn(&x, "C6" + "858E06B70404E9CD9E3ECB662395B442" + "9C648139053FB521F828AF606B4D3DBA" + "A14B5E77EFE75928FE1DC127A2FFA8DE" + "3348B3C1856A429BF97E7E31C2E5BD66")) + || !TEST_true(EC_POINT_set_compressed_coordinates(group, P, x, 0, ctx)) + || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0) + || !TEST_true(BN_hex2bn(&z, "1FF" + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFA" + "51868783BF2F966B7FCC0148F709A5D0" + "3BB5C9B8899C47AEBB6FB71E91386409")) + || !TEST_true(EC_GROUP_set_generator(group, P, z, BN_value_one())) + || !TEST_true(EC_POINT_get_affine_coordinates(group, P, x, y, ctx))) + goto err; + + TEST_info("NIST curve P-521 -- Generator"); + test_output_bignum("x", x); + test_output_bignum("y", y); + /* G_y value taken from the standard: */ + if (!TEST_true(BN_hex2bn(&z, "118" + "39296A789A3BC0045C8A5FB42C7D1BD9" + "98F54449579B446817AFBD17273E662C" + "97EE72995EF42640C550B9013FAD0761" + "353C7086A272C24088BE94769FD16650")) + || !TEST_BN_eq(y, z) + || !TEST_true(BN_add(yplusone, y, BN_value_one())) + /* + * When (x, y) is on the curve, (x, y + 1) is, as it happens, not, + * and therefore setting the coordinates should fail. + */ + || !TEST_false(EC_POINT_set_affine_coordinates(group, P, x, yplusone, + ctx)) + || !TEST_int_eq(EC_GROUP_get_degree(group), 521) + || !group_order_tests(group) + || !TEST_ptr(P_521 = EC_GROUP_new(EC_GROUP_method_of(group))) + || !TEST_true(EC_GROUP_copy(P_521, group)) + + /* more tests using the last curve */ + + /* Restore the point that got mangled in the (x, y + 1) test. */ + || !TEST_true(EC_POINT_set_affine_coordinates(group, P, x, y, ctx)) + || !TEST_true(EC_POINT_copy(Q, P)) + || !TEST_false(EC_POINT_is_at_infinity(group, Q)) + || !TEST_true(EC_POINT_dbl(group, P, P, ctx)) + || !TEST_int_gt(EC_POINT_is_on_curve(group, P, ctx), 0) + || !TEST_true(EC_POINT_invert(group, Q, ctx)) /* P = -2Q */ + || !TEST_true(EC_POINT_add(group, R, P, Q, ctx)) + || !TEST_true(EC_POINT_add(group, R, R, Q, ctx)) + || !TEST_true(EC_POINT_is_at_infinity(group, R)) /* R = P + 2Q */ + || !TEST_false(EC_POINT_is_at_infinity(group, Q))) + goto err; + points[0] = Q; + points[1] = Q; + points[2] = Q; + points[3] = Q; + + if (!TEST_true(EC_GROUP_get_order(group, z, ctx)) + || !TEST_true(BN_add(y, z, BN_value_one())) + || !TEST_BN_even(y) + || !TEST_true(BN_rshift1(y, y))) + goto err; + scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */ + scalars[1] = y; + + TEST_note("combined multiplication ..."); + + /* z is still the group order */ + if (!TEST_true(EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) + || !TEST_true(EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) + || !TEST_int_eq(0, EC_POINT_cmp(group, P, R, ctx)) + || !TEST_int_eq(0, EC_POINT_cmp(group, R, Q, ctx)) + || !TEST_true(BN_rand(y, BN_num_bits(y), 0, 0)) + || !TEST_true(BN_add(z, z, y))) + goto err; + BN_set_negative(z, 1); + scalars[0] = y; + scalars[1] = z; /* z = -(order + y) */ + + if (!TEST_true(EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) + || !TEST_true(EC_POINT_is_at_infinity(group, P)) + || !TEST_true(BN_rand(x, BN_num_bits(y) - 1, 0, 0)) + || !TEST_true(BN_add(z, x, y))) + goto err; + BN_set_negative(z, 1); + scalars[0] = x; + scalars[1] = y; + scalars[2] = z; /* z = -(x+y) */ + + if (!TEST_ptr(scalar3 = BN_new())) + goto err; + BN_zero(scalar3); + scalars[3] = scalar3; + + if (!TEST_true(EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx)) + || !TEST_true(EC_POINT_is_at_infinity(group, P))) + goto err; + + TEST_note(" ok\n"); + + + r = 1; +err: + BN_CTX_free(ctx); + BN_free(p); + BN_free(a); + BN_free(b); + EC_GROUP_free(group); + EC_GROUP_free(tmp); + EC_POINT_free(P); + EC_POINT_free(Q); + EC_POINT_free(R); + BN_free(x); + BN_free(y); + BN_free(z); + BN_free(yplusone); + BN_free(scalar3); + + EC_GROUP_free(P_224); + EC_GROUP_free(P_256); + EC_GROUP_free(P_384); + EC_GROUP_free(P_521); + return r; +} + +static int internal_curve_test(int n) +{ + EC_GROUP *group = NULL; + int nid = curves[n].nid; + + if (!TEST_ptr(group = EC_GROUP_new_by_curve_name(nid))) { + TEST_info("EC_GROUP_new_curve_name() failed with curve %s\n", + OBJ_nid2sn(nid)); + return 0; + } + if (!TEST_true(EC_GROUP_check(group, NULL))) { + TEST_info("EC_GROUP_check() failed with curve %s\n", OBJ_nid2sn(nid)); + EC_GROUP_free(group); + return 0; + } + EC_GROUP_free(group); + return 1; +} + +static int internal_curve_test_method(int n) +{ + int r, nid = curves[n].nid; + EC_GROUP *group; + + if (!TEST_ptr(group = EC_GROUP_new_by_curve_name(nid))) { + TEST_info("Curve %s failed\n", OBJ_nid2sn(nid)); + return 0; + } + r = group_order_tests(group); + EC_GROUP_free(group); + return r; +} + +# ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 +/* + * nistp_test_params contains magic numbers for testing our optimized + * implementations of several NIST curves with characteristic > 3. + */ +struct nistp_test_params { + const EC_METHOD *(*meth) (void); + int degree; + /* + * Qx, Qy and D are taken from + * http://csrc.nist.gov/groups/ST/toolkit/documents/Examples/ECDSA_Prime.pdf + * Otherwise, values are standard curve parameters from FIPS 180-3 + */ + const char *p, *a, *b, *Qx, *Qy, *Gx, *Gy, *order, *d; +}; + +static const struct nistp_test_params nistp_tests_params[] = { + { + /* P-224 */ + EC_GFp_nistp224_method, + 224, + /* p */ + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", + /* a */ + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", + /* b */ + "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", + /* Qx */ + "E84FB0B8E7000CB657D7973CF6B42ED78B301674276DF744AF130B3E", + /* Qy */ + "4376675C6FC5612C21A0FF2D2A89D2987DF7A2BC52183B5982298555", + /* Gx */ + "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", + /* Gy */ + "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34", + /* order */ + "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", + /* d */ + "3F0C488E987C80BE0FEE521F8D90BE6034EC69AE11CA72AA777481E8", + }, + { + /* P-256 */ + EC_GFp_nistp256_method, + 256, + /* p */ + "ffffffff00000001000000000000000000000000ffffffffffffffffffffffff", + /* a */ + "ffffffff00000001000000000000000000000000fffffffffffffffffffffffc", + /* b */ + "5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b", + /* Qx */ + "b7e08afdfe94bad3f1dc8c734798ba1c62b3a0ad1e9ea2a38201cd0889bc7a19", + /* Qy */ + "3603f747959dbf7a4bb226e41928729063adc7ae43529e61b563bbc606cc5e09", + /* Gx */ + "6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296", + /* Gy */ + "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5", + /* order */ + "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551", + /* d */ + "c477f9f65c22cce20657faa5b2d1d8122336f851a508a1ed04e479c34985bf96", + }, + { + /* P-521 */ + EC_GFp_nistp521_method, + 521, + /* p */ + "1ff" + "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", + /* a */ + "1ff" + "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff" + "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc", + /* b */ + "051" + "953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e1" + "56193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00", + /* Qx */ + "0098" + "e91eef9a68452822309c52fab453f5f117c1da8ed796b255e9ab8f6410cca16e" + "59df403a6bdc6ca467a37056b1e54b3005d8ac030decfeb68df18b171885d5c4", + /* Qy */ + "0164" + "350c321aecfc1cca1ba4364c9b15656150b4b78d6a48d7d28e7f31985ef17be8" + "554376b72900712c4b83ad668327231526e313f5f092999a4632fd50d946bc2e", + /* Gx */ + "c6" + "858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dba" + "a14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66", + /* Gy */ + "118" + "39296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c" + "97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650", + /* order */ + "1ff" + "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa" + "51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409", + /* d */ + "0100" + "085f47b8e1b8b11b7eb33028c0b2888e304bfc98501955b45bba1478dc184eee" + "df09b86a5f7c21994406072787205e69a63709fe35aa93ba333514b24f961722", + }, +}; + +static int nistp_single_test(int idx) +{ + const struct nistp_test_params *test = nistp_tests_params + idx; + BN_CTX *ctx = NULL; + BIGNUM *p = NULL, *a = NULL, *b = NULL, *x = NULL, *y = NULL; + BIGNUM *n = NULL, *m = NULL, *order = NULL, *yplusone = NULL; + EC_GROUP *NISTP = NULL; + EC_POINT *G = NULL, *P = NULL, *Q = NULL, *Q_CHECK = NULL; + int r = 0; + + TEST_note("NIST curve P-%d (optimised implementation):", + test->degree); + if (!TEST_ptr(ctx = BN_CTX_new()) + || !TEST_ptr(p = BN_new()) + || !TEST_ptr(a = BN_new()) + || !TEST_ptr(b = BN_new()) + || !TEST_ptr(x = BN_new()) + || !TEST_ptr(y = BN_new()) + || !TEST_ptr(m = BN_new()) + || !TEST_ptr(n = BN_new()) + || !TEST_ptr(order = BN_new()) + || !TEST_ptr(yplusone = BN_new()) + + || !TEST_ptr(NISTP = EC_GROUP_new(test->meth())) + || !TEST_true(BN_hex2bn(&p, test->p)) + || !TEST_int_eq(1, BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) + || !TEST_true(BN_hex2bn(&a, test->a)) + || !TEST_true(BN_hex2bn(&b, test->b)) + || !TEST_true(EC_GROUP_set_curve(NISTP, p, a, b, ctx)) + || !TEST_ptr(G = EC_POINT_new(NISTP)) + || !TEST_ptr(P = EC_POINT_new(NISTP)) + || !TEST_ptr(Q = EC_POINT_new(NISTP)) + || !TEST_ptr(Q_CHECK = EC_POINT_new(NISTP)) + || !TEST_true(BN_hex2bn(&x, test->Qx)) + || !TEST_true(BN_hex2bn(&y, test->Qy)) + || !TEST_true(BN_add(yplusone, y, BN_value_one())) + /* + * When (x, y) is on the curve, (x, y + 1) is, as it happens, not, + * and therefore setting the coordinates should fail. + */ + || !TEST_false(EC_POINT_set_affine_coordinates(NISTP, Q_CHECK, x, + yplusone, ctx)) + || !TEST_true(EC_POINT_set_affine_coordinates(NISTP, Q_CHECK, x, y, + ctx)) + || !TEST_true(BN_hex2bn(&x, test->Gx)) + || !TEST_true(BN_hex2bn(&y, test->Gy)) + || !TEST_true(EC_POINT_set_affine_coordinates(NISTP, G, x, y, ctx)) + || !TEST_true(BN_hex2bn(&order, test->order)) + || !TEST_true(EC_GROUP_set_generator(NISTP, G, order, BN_value_one())) + || !TEST_int_eq(EC_GROUP_get_degree(NISTP), test->degree)) + goto err; + + TEST_note("NIST test vectors ... "); + if (!TEST_true(BN_hex2bn(&n, test->d))) + goto err; + /* fixed point multiplication */ + EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx); + if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))) + goto err; + /* random point multiplication */ + EC_POINT_mul(NISTP, Q, NULL, G, n, ctx); + if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) + + /* set generator to P = 2*G, where G is the standard generator */ + || !TEST_true(EC_POINT_dbl(NISTP, P, G, ctx)) + || !TEST_true(EC_GROUP_set_generator(NISTP, P, order, BN_value_one())) + /* set the scalar to m=n/2, where n is the NIST test scalar */ + || !TEST_true(BN_rshift(m, n, 1))) + goto err; + + /* test the non-standard generator */ + /* fixed point multiplication */ + EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx); + if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))) + goto err; + /* random point multiplication */ + EC_POINT_mul(NISTP, Q, NULL, P, m, ctx); + if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) + + /* + * We have not performed precomputation so have_precompute mult should be + * false + */ + || !TEST_false(EC_GROUP_have_precompute_mult(NISTP)) + + /* now repeat all tests with precomputation */ + || !TEST_true(EC_GROUP_precompute_mult(NISTP, ctx)) + || !TEST_true(EC_GROUP_have_precompute_mult(NISTP))) + goto err; + + /* fixed point multiplication */ + EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx); + if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))) + goto err; + /* random point multiplication */ + EC_POINT_mul(NISTP, Q, NULL, P, m, ctx); + if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) + + /* reset generator */ + || !TEST_true(EC_GROUP_set_generator(NISTP, G, order, BN_value_one()))) + goto err; + /* fixed point multiplication */ + EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx); + if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))) + goto err; + /* random point multiplication */ + EC_POINT_mul(NISTP, Q, NULL, G, n, ctx); + if (!TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx))) + goto err; + + /* regression test for felem_neg bug */ + if (!TEST_true(BN_set_word(m, 32)) + || !TEST_true(BN_set_word(n, 31)) + || !TEST_true(EC_POINT_copy(P, G)) + || !TEST_true(EC_POINT_invert(NISTP, P, ctx)) + || !TEST_true(EC_POINT_mul(NISTP, Q, m, P, n, ctx)) + || !TEST_int_eq(0, EC_POINT_cmp(NISTP, Q, G, ctx))) + goto err; + + r = group_order_tests(NISTP); +err: + EC_GROUP_free(NISTP); + EC_POINT_free(G); + EC_POINT_free(P); + EC_POINT_free(Q); + EC_POINT_free(Q_CHECK); + BN_free(n); + BN_free(m); + BN_free(p); + BN_free(a); + BN_free(b); + BN_free(x); + BN_free(y); + BN_free(order); + BN_free(yplusone); + BN_CTX_free(ctx); + return r; +} + +/* + * Tests a point known to cause an incorrect underflow in an old version of + * ecp_nist521.c + */ +static int underflow_test(void) +{ + BN_CTX *ctx = NULL; + EC_GROUP *grp = NULL; + EC_POINT *P = NULL, *Q = NULL, *R = NULL; + BIGNUM *x1 = NULL, *y1 = NULL, *z1 = NULL, *x2 = NULL, *y2 = NULL; + BIGNUM *k = NULL; + int testresult = 0; + const char *x1str = + "1534f0077fffffe87e9adcfe000000000000000000003e05a21d2400002e031b1f4" + "b80000c6fafa4f3c1288798d624a247b5e2ffffffffffffffefe099241900004"; + const char *p521m1 = + "1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff" + "fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe"; + + ctx = BN_CTX_new(); + if (!TEST_ptr(ctx)) + return 0; + + BN_CTX_start(ctx); + x1 = BN_CTX_get(ctx); + y1 = BN_CTX_get(ctx); + z1 = BN_CTX_get(ctx); + x2 = BN_CTX_get(ctx); + y2 = BN_CTX_get(ctx); + k = BN_CTX_get(ctx); + if (!TEST_ptr(k)) + goto err; + + grp = EC_GROUP_new_by_curve_name(NID_secp521r1); + P = EC_POINT_new(grp); + Q = EC_POINT_new(grp); + R = EC_POINT_new(grp); + if (!TEST_ptr(grp) || !TEST_ptr(P) || !TEST_ptr(Q) || !TEST_ptr(R)) + goto err; + + if (!TEST_int_gt(BN_hex2bn(&x1, x1str), 0) + || !TEST_int_gt(BN_hex2bn(&y1, p521m1), 0) + || !TEST_int_gt(BN_hex2bn(&z1, p521m1), 0) + || !TEST_int_gt(BN_hex2bn(&k, "02"), 0) + || !TEST_true(EC_POINT_set_Jprojective_coordinates_GFp(grp, P, x1, + y1, z1, ctx)) + || !TEST_true(EC_POINT_mul(grp, Q, NULL, P, k, ctx)) + || !TEST_true(EC_POINT_get_affine_coordinates(grp, Q, x1, y1, ctx)) + || !TEST_true(EC_POINT_dbl(grp, R, P, ctx)) + || !TEST_true(EC_POINT_get_affine_coordinates(grp, R, x2, y2, ctx))) + goto err; + + if (!TEST_int_eq(BN_cmp(x1, x2), 0) + || !TEST_int_eq(BN_cmp(y1, y2), 0)) + goto err; + + testresult = 1; + + err: + BN_CTX_end(ctx); + EC_POINT_free(P); + EC_POINT_free(Q); + EC_POINT_free(R); + EC_GROUP_free(grp); + BN_CTX_free(ctx); + + return testresult; +} +# endif + +static const unsigned char p521_named[] = { + 0x06, 0x05, 0x2b, 0x81, 0x04, 0x00, 0x23, +}; + +static const unsigned char p521_explicit[] = { + 0x30, 0x82, 0x01, 0xc3, 0x02, 0x01, 0x01, 0x30, 0x4d, 0x06, 0x07, 0x2a, + 0x86, 0x48, 0xce, 0x3d, 0x01, 0x01, 0x02, 0x42, 0x01, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0x30, 0x81, 0x9f, 0x04, 0x42, 0x01, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xfc, 0x04, 0x42, 0x00, 0x51, 0x95, 0x3e, 0xb9, 0x61, 0x8e, 0x1c, 0x9a, + 0x1f, 0x92, 0x9a, 0x21, 0xa0, 0xb6, 0x85, 0x40, 0xee, 0xa2, 0xda, 0x72, + 0x5b, 0x99, 0xb3, 0x15, 0xf3, 0xb8, 0xb4, 0x89, 0x91, 0x8e, 0xf1, 0x09, + 0xe1, 0x56, 0x19, 0x39, 0x51, 0xec, 0x7e, 0x93, 0x7b, 0x16, 0x52, 0xc0, + 0xbd, 0x3b, 0xb1, 0xbf, 0x07, 0x35, 0x73, 0xdf, 0x88, 0x3d, 0x2c, 0x34, + 0xf1, 0xef, 0x45, 0x1f, 0xd4, 0x6b, 0x50, 0x3f, 0x00, 0x03, 0x15, 0x00, + 0xd0, 0x9e, 0x88, 0x00, 0x29, 0x1c, 0xb8, 0x53, 0x96, 0xcc, 0x67, 0x17, + 0x39, 0x32, 0x84, 0xaa, 0xa0, 0xda, 0x64, 0xba, 0x04, 0x81, 0x85, 0x04, + 0x00, 0xc6, 0x85, 0x8e, 0x06, 0xb7, 0x04, 0x04, 0xe9, 0xcd, 0x9e, 0x3e, + 0xcb, 0x66, 0x23, 0x95, 0xb4, 0x42, 0x9c, 0x64, 0x81, 0x39, 0x05, 0x3f, + 0xb5, 0x21, 0xf8, 0x28, 0xaf, 0x60, 0x6b, 0x4d, 0x3d, 0xba, 0xa1, 0x4b, + 0x5e, 0x77, 0xef, 0xe7, 0x59, 0x28, 0xfe, 0x1d, 0xc1, 0x27, 0xa2, 0xff, + 0xa8, 0xde, 0x33, 0x48, 0xb3, 0xc1, 0x85, 0x6a, 0x42, 0x9b, 0xf9, 0x7e, + 0x7e, 0x31, 0xc2, 0xe5, 0xbd, 0x66, 0x01, 0x18, 0x39, 0x29, 0x6a, 0x78, + 0x9a, 0x3b, 0xc0, 0x04, 0x5c, 0x8a, 0x5f, 0xb4, 0x2c, 0x7d, 0x1b, 0xd9, + 0x98, 0xf5, 0x44, 0x49, 0x57, 0x9b, 0x44, 0x68, 0x17, 0xaf, 0xbd, 0x17, + 0x27, 0x3e, 0x66, 0x2c, 0x97, 0xee, 0x72, 0x99, 0x5e, 0xf4, 0x26, 0x40, + 0xc5, 0x50, 0xb9, 0x01, 0x3f, 0xad, 0x07, 0x61, 0x35, 0x3c, 0x70, 0x86, + 0xa2, 0x72, 0xc2, 0x40, 0x88, 0xbe, 0x94, 0x76, 0x9f, 0xd1, 0x66, 0x50, + 0x02, 0x42, 0x01, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, + 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfa, + 0x51, 0x86, 0x87, 0x83, 0xbf, 0x2f, 0x96, 0x6b, 0x7f, 0xcc, 0x01, 0x48, + 0xf7, 0x09, 0xa5, 0xd0, 0x3b, 0xb5, 0xc9, 0xb8, 0x89, 0x9c, 0x47, 0xae, + 0xbb, 0x6f, 0xb7, 0x1e, 0x91, 0x38, 0x64, 0x09, 0x02, 0x01, 0x01, +}; + +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; +} +#endif + +int setup_tests(void) +{ +#ifndef OPENSSL_NO_EC + crv_len = EC_get_builtin_curves(NULL, 0); + if (!TEST_ptr(curves = OPENSSL_malloc(sizeof(*curves) * crv_len)) + || !TEST_true(EC_get_builtin_curves(curves, crv_len))) + return 0; + + ADD_TEST(parameter_test); + ADD_TEST(prime_field_tests); +# ifndef OPENSSL_NO_EC2M + ADD_TEST(char2_field_tests); + ADD_ALL_TESTS(char2_curve_test, OSSL_NELEM(char2_curve_tests)); +# endif +# ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 + ADD_ALL_TESTS(nistp_single_test, OSSL_NELEM(nistp_tests_params)); + ADD_TEST(underflow_test); +# endif + ADD_ALL_TESTS(internal_curve_test, crv_len); + ADD_ALL_TESTS(internal_curve_test_method, crv_len); +#endif + return 1; +} + +void cleanup_tests(void) +{ +#ifndef OPENSSL_NO_EC + OPENSSL_free(curves); +#endif +} |