/* * * Embedded Linux library * * Copyright (C) 2018 Intel Corporation. All rights reserved. * * This library is free software; you can redistribute it and/or * modify it under the terms of the GNU Lesser General Public * License as published by the Free Software Foundation; either * version 2.1 of the License, or (at your option) any later version. * * This library is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU * Lesser General Public License for more details. * * You should have received a copy of the GNU Lesser General Public * License along with this library; if not, write to the Free Software * Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA * */ #ifdef HAVE_CONFIG_H #include #endif #include #include #include #include "ell/ecc.h" #include "ell/ecc-private.h" #define HEX2BUF(s, buf) { \ unsigned char *tmp = l_util_from_hexstring(s, NULL); \ memcpy(buf, tmp, curve->ndigits * 8); \ l_free(tmp); \ } #define CURVE_P_32_STR "ffffffffffffffffffffffff00000000"\ "000000000000000001000000ffffffff" enum ecc_test_type { TEST_ADD = 0, TEST_SUB, TEST_MULT, TEST_INV, TEST_EXP, TEST_POINT_ADD, TEST_SCALAR_MULT, TEST_LEGENDRE, }; struct ecc_test_data { enum ecc_test_type type; /* basic math arguments/result */ char *a; char *b; char *qr; char *qnr; char *r; bool is_residue; char *mod; char *result; int lres; /* point operations */ char *scalar; char *ax, *ay; char *bx, *by; char *rx, *ry; }; /* (a + b) mod c */ struct ecc_test_data add_test = { .type = TEST_ADD, .a = "cae1d5624344984073fd955a72d4ebacedc084679333e4beebff94869e9f6ca8", .b = "93a02ae89d15e38a33bf3fea4c99937825b279fa8fa81dded1ccb687cec88461", .mod = CURVE_P_32_STR, .result = "5e82004ae05a7bcaa7bcd545bf6e7f25" "1372fe6222dc029dbccc4b0d6d67f10a" }; /* (a - b) mod c */ struct ecc_test_data sub_test = { .type = TEST_SUB, .a = "cae1d5624344984073fd955a72d4ebacedc084679333e4beebff94869e9f6ca8", .b = "93a02ae89d15e38a33bf3fea4c99937825b279fa8fa81dded1ccb687cec88461", .mod = CURVE_P_32_STR, .result = "3741aa79a62eb4b6403e5570263b5834" "c80e0a6d038bc6e01a32ddfecfd6e847" }; /* (a * b) mod c */ struct ecc_test_data mult_test = { .type = TEST_MULT, .a = "cae1d5624344984073fd955a72d4ebacedc084679333e4beebff94869e9f6ca8", .b = "93a02ae89d15e38a33bf3fea4c99937825b279fa8fa81dded1ccb687cec88461", .mod = CURVE_P_32_STR, .result = "a31ff5c7d65d8bd806b0407f27d1f1bc" "2c072e28c19720f6a654a75efc2faab5" }; /* (a^-1) mod c */ struct ecc_test_data inv_test = { .type = TEST_INV, .a = "cae1d5624344984073fd955a72d4ebacedc084679333e4beebff94869e9f6ca8", .mod = CURVE_P_32_STR, .result = "48faaac115571047ead565911fc334fd" "633c986755e87ab10fd79a4453a60bc5" }; /* (a^-1) mod c */ struct ecc_test_data inv_test2 = { .type = TEST_INV, .a = "698e5c10b63a9c79a9720b3f7f4d2f5c9fbb31daf93ac0f8fa8ca5cde8234418", .mod = CURVE_P_32_STR, .result = "5fd113c3b6053c38e54e5917826c8520" "c5a0708a8a47345edbb7fc1d67d9b42b" }; /* (a ^ b) mod c */ struct ecc_test_data exp_test = { .type = TEST_EXP, .a = "cae1d5624344984073fd955a72d4ebacedc084679333e4beebff94869e9f6ca8", .b = "93a02ae89d15e38a33bf3fea4c99937825b279fa8fa81dded1ccb687cec88461", .mod = CURVE_P_32_STR, .result = "e7488e3a4d56938bbddc2a615c768d48" "9e5634aced9ceee37249fae1caa36fec" }; struct ecc_test_data legendre_test1 = { .type = TEST_LEGENDRE, .a = "b59c0c366aa89ba229f857190497261d5a0a7a0a774caa72aef041ff00092447", .mod = "ffffffff00000001000000000000000000000000ffffffffffffffffffffffff", .lres = -1 }; struct ecc_test_data legendre_test2 = { .type = TEST_LEGENDRE, .a = "1214f9607d348c998b3fba332d884d65945561fd007ff56d8bf603148d74d2e4", .mod = "ffffffff000000010000000000000000" "00000000ffffffffffffffffffffffff", .lres = 1 }; struct ecc_test_data legendre_test3 = { .type = TEST_LEGENDRE, .a = "282d751c898bfc593b1d21b6812df48e3ec811f40349b30b7294575c47b871d8", .mod = "ffffffff000000010000000000000000" "00000000ffffffffffffffffffffffff", .lres = 1 }; struct ecc_test_data legendre_test4 = { .type = TEST_LEGENDRE, .a = "0694ccde1db3d02faa26856678bd9358ecc0d82791405eb3892a8b4f07f1e5d6", .mod = "ffffffff000000010000000000000000" "00000000ffffffffffffffffffffffff", .lres = -1 }; struct ecc_test_data legendre_test5 = { .type = TEST_LEGENDRE, .a = "92247f96df65a6d04af0c57318e999fd493c42864d156f7e5bba75c964f3c6b0", .mod = "ffffffff000000010000000000000000" "00000000ffffffffffffffffffffffff", .lres = 1 }; struct ecc_test_data legendre_test6 = { .type = TEST_LEGENDRE, .a = "084f7eb6ed8021d095787fd401b0f19b13937dc23f7c84dfe69bb9a204bb3768", .mod = "ffffffff000000010000000000000000" "00000000ffffffffffffffffffffffff", .lres = -1 }; struct ecc_test_data point_add_test = { .type = TEST_POINT_ADD, .ax = "d36b6768a3279fbe23a5bf5cc19b13354" "fa2c6d6fd9de467d62db007c39452df", .ay = "4d601e7be3efd7f357452de7584274c54" "c18ddb0ef2f0f4cf43375152a9780c4", .bx = "c833c5d3ab916ed37f16597ace5dcf41f" "080891c0c41b6ce561705bd736a29e0", .by = "9d266e5ba8ba3e8d9679238f44a376b05" "133df0510a7b8e6e7dd3a654d40a04a", .rx = "24c4ede340dbdd144ccaaea67e5b1fca" "87b3aa26dc11114fcd12186318533101", .ry = "1d96391fb2942bf286e9251c257b960e" "7d23d4caff4b6fc898aff87e1f6f5514" }; struct ecc_test_data point_mult_test = { .type = TEST_SCALAR_MULT, .ax = "768bc2f17fbf4e49282fbd4068994562b" "fc7145306762c26a90be1e9c346ac67", .ay = "93a02ae89d15e38a33bf3fea4c9993782" "5b279fa8fa81dded1ccb687cec88461", .scalar = "7521d940aa073c1675114ed27b866561" "9c826cac8eaa341f70d61b43ad32058b", .rx = "d4c80de349966df5542c984e80885d36" "a965ceb74ffe6a0fdc8343184dedfe66", .ry = "6d3a1ac3d1d392413286a0e00e94b01e" "ae8423c7f53b9d39cc7fc9c3a5880f3b" }; static void run_test_p256(const void *arg) { const struct ecc_test_data *data = arg; uint64_t a[L_ECC_MAX_DIGITS], b[L_ECC_MAX_DIGITS], mod[L_ECC_MAX_DIGITS], scalar[L_ECC_MAX_DIGITS], result[L_ECC_MAX_DIGITS], check[L_ECC_MAX_DIGITS]; struct l_ecc_point point1, point2, point_ret; const struct l_ecc_curve *curve = l_ecc_curve_get_ike_group(19); point_ret.curve = curve; memset(result, 0, sizeof(result)); if (data->a) { HEX2BUF(data->a, a); _ecc_be2native(a, a, curve->ndigits); } if (data->b) { HEX2BUF(data->b, b); _ecc_be2native(b, b, curve->ndigits); } if (data->mod) { HEX2BUF(data->mod, mod); _ecc_be2native(mod, mod, curve->ndigits); } if (data->ax) { HEX2BUF(data->ax, point1.x); _ecc_be2native(point1.x, point1.x, curve->ndigits); point1.curve = curve; } if (data->ay) { HEX2BUF(data->ay, point1.y); _ecc_be2native(point1.y, point1.y, curve->ndigits); } if (data->bx) { HEX2BUF(data->bx, point2.x); _ecc_be2native(point2.x, point2.x, curve->ndigits); point2.curve = curve; } if (data->by) { HEX2BUF(data->by, point2.y); _ecc_be2native(point2.y, point2.y, curve->ndigits); } if (data->scalar) { HEX2BUF(data->scalar, scalar); _ecc_be2native(scalar, scalar, curve->ndigits); } switch (data->type) { case TEST_ADD: _vli_mod_add(result, a, b, mod, curve->ndigits); break; case TEST_SUB: _vli_mod_sub(result, a, b, mod, curve->ndigits); break; case TEST_MULT: _vli_mod_mult_fast(result, a, b, mod, curve->ndigits); break; case TEST_INV: _vli_mod_inv(result, a, mod, curve->ndigits); break; case TEST_EXP: _vli_mod_exp(result, a, b, mod, curve->ndigits); break; case TEST_LEGENDRE: { int lres = _vli_legendre(a, mod, curve->ndigits); assert(data->lres == lres); break; } case TEST_POINT_ADD: _ecc_point_add(&point_ret, &point1, &point2, curve->p); break; case TEST_SCALAR_MULT: _ecc_point_mult(&point_ret, &point1, scalar, NULL, curve->p); break; } if (data->type <= TEST_EXP) { HEX2BUF(data->result, check); _ecc_native2be(check, check, curve->ndigits); assert(memcmp(result, check, 32) == 0); } else if (data->type <= TEST_SCALAR_MULT) { uint64_t checkx[L_ECC_MAX_DIGITS]; uint64_t checky[L_ECC_MAX_DIGITS]; HEX2BUF(data->rx, checkx); _ecc_native2be(checkx, checkx, curve->ndigits); HEX2BUF(data->ry, checky); _ecc_native2be(checky, checky, curve->ndigits); assert(memcmp(checkx, point_ret.x, 32) == 0); assert(memcmp(checky, point_ret.y, 32) == 0); } } int main(int argc, char *argv[]) { l_test_init(&argc, &argv); l_test_add("ECC add test", run_test_p256, &add_test); l_test_add("ECC sub test", run_test_p256, &sub_test); l_test_add("ECC mult test", run_test_p256, &mult_test); l_test_add("ECC inv test", run_test_p256, &inv_test); l_test_add("ECC inv test", run_test_p256, &inv_test2); l_test_add("ECC exp test", run_test_p256, &exp_test); l_test_add("ECC point add test", run_test_p256, &point_add_test); l_test_add("ECC point mult test", run_test_p256, &point_mult_test); l_test_add("ECC legendre", run_test_p256, &legendre_test1); l_test_add("ECC legendre", run_test_p256, &legendre_test2); l_test_add("ECC legendre", run_test_p256, &legendre_test3); l_test_add("ECC legendre", run_test_p256, &legendre_test4); l_test_add("ECC legendre", run_test_p256, &legendre_test5); l_test_add("ECC legendre", run_test_p256, &legendre_test6); return l_test_run(); }