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/*
* Copyright (C) 2025 Michael Brown <mbrown@fensystems.co.uk>.
*
* This program is free software; you can redistribute it and/or
* modify it under the terms of the GNU General Public License as
* published by the Free Software Foundation; either version 2 of the
* License, or any later version.
*
* This program 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
* General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
* 02110-1301, USA.
*
* You can also choose to distribute this program under the terms of
* the Unmodified Binary Distribution Licence (as given in the file
* COPYING.UBDL), provided that you have satisfied its requirements.
*/
FILE_LICENCE ( GPL2_OR_LATER_OR_UBDL );
/** @file
*
* NIST P-256 elliptic curve self-tests
*
*/
/* Forcibly enable assertions */
#undef NDEBUG
#include <ipxe/p256.h>
#include <ipxe/test.h>
#include "elliptic_test.h"
/* http://point-at-infinity.org/ecc/nisttv k=1 */
ELLIPTIC_MULTIPLY_TEST ( poi_1, &p256_curve, BASE_GENERATOR,
SCALAR ( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01 ),
EXPECTED ( 0x6b, 0x17, 0xd1, 0xf2, 0xe1, 0x2c, 0x42, 0x47,
0xf8, 0xbc, 0xe6, 0xe5, 0x63, 0xa4, 0x40, 0xf2,
0x77, 0x03, 0x7d, 0x81, 0x2d, 0xeb, 0x33, 0xa0,
0xf4, 0xa1, 0x39, 0x45, 0xd8, 0x98, 0xc2, 0x96,
0x4f, 0xe3, 0x42, 0xe2, 0xfe, 0x1a, 0x7f, 0x9b,
0x8e, 0xe7, 0xeb, 0x4a, 0x7c, 0x0f, 0x9e, 0x16,
0x2b, 0xce, 0x33, 0x57, 0x6b, 0x31, 0x5e, 0xce,
0xcb, 0xb6, 0x40, 0x68, 0x37, 0xbf, 0x51, 0xf5 ) );
/* http://point-at-infinity.org/ecc/nisttv k=2 */
ELLIPTIC_MULTIPLY_TEST ( poi_2, &p256_curve, BASE_GENERATOR,
SCALAR ( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x02 ),
EXPECTED ( 0x7c, 0xf2, 0x7b, 0x18, 0x8d, 0x03, 0x4f, 0x7e,
0x8a, 0x52, 0x38, 0x03, 0x04, 0xb5, 0x1a, 0xc3,
0xc0, 0x89, 0x69, 0xe2, 0x77, 0xf2, 0x1b, 0x35,
0xa6, 0x0b, 0x48, 0xfc, 0x47, 0x66, 0x99, 0x78,
0x07, 0x77, 0x55, 0x10, 0xdb, 0x8e, 0xd0, 0x40,
0x29, 0x3d, 0x9a, 0xc6, 0x9f, 0x74, 0x30, 0xdb,
0xba, 0x7d, 0xad, 0xe6, 0x3c, 0xe9, 0x82, 0x29,
0x9e, 0x04, 0xb7, 0x9d, 0x22, 0x78, 0x73, 0xd1 ) );
/* http://point-at-infinity.org/ecc/nisttv k=2 (as base) to k=20 */
ELLIPTIC_MULTIPLY_TEST ( poi_2_20, &p256_curve,
BASE ( 0x7c, 0xf2, 0x7b, 0x18, 0x8d, 0x03, 0x4f, 0x7e,
0x8a, 0x52, 0x38, 0x03, 0x04, 0xb5, 0x1a, 0xc3,
0xc0, 0x89, 0x69, 0xe2, 0x77, 0xf2, 0x1b, 0x35,
0xa6, 0x0b, 0x48, 0xfc, 0x47, 0x66, 0x99, 0x78,
0x07, 0x77, 0x55, 0x10, 0xdb, 0x8e, 0xd0, 0x40,
0x29, 0x3d, 0x9a, 0xc6, 0x9f, 0x74, 0x30, 0xdb,
0xba, 0x7d, 0xad, 0xe6, 0x3c, 0xe9, 0x82, 0x29,
0x9e, 0x04, 0xb7, 0x9d, 0x22, 0x78, 0x73, 0xd1 ),
SCALAR ( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x0a ),
EXPECTED ( 0x83, 0xa0, 0x1a, 0x93, 0x78, 0x39, 0x5b, 0xab,
0x9b, 0xcd, 0x6a, 0x0a, 0xd0, 0x3c, 0xc5, 0x6d,
0x56, 0xe6, 0xb1, 0x92, 0x50, 0x46, 0x5a, 0x94,
0xa2, 0x34, 0xdc, 0x4c, 0x6b, 0x28, 0xda, 0x9a,
0x76, 0xe4, 0x9b, 0x6d, 0xe2, 0xf7, 0x32, 0x34,
0xae, 0x6a, 0x5e, 0xb9, 0xd6, 0x12, 0xb7, 0x5c,
0x9f, 0x22, 0x02, 0xbb, 0x69, 0x23, 0xf5, 0x4f,
0xf8, 0x24, 0x0a, 0xaa, 0x86, 0xf6, 0x40, 0xb8 ) );
/* http://point-at-infinity.org/ecc/nisttv k=112233445566778899 */
ELLIPTIC_MULTIPLY_TEST ( poi_mid, &p256_curve, BASE_GENERATOR,
SCALAR ( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x01, 0x8e, 0xbb, 0xb9, 0x5e, 0xed, 0x0e, 0x13 ),
EXPECTED ( 0x33, 0x91, 0x50, 0x84, 0x4e, 0xc1, 0x52, 0x34,
0x80, 0x7f, 0xe8, 0x62, 0xa8, 0x6b, 0xe7, 0x79,
0x77, 0xdb, 0xfb, 0x3a, 0xe3, 0xd9, 0x6f, 0x4c,
0x22, 0x79, 0x55, 0x13, 0xae, 0xaa, 0xb8, 0x2f,
0xb1, 0xc1, 0x4d, 0xdf, 0xdc, 0x8e, 0xc1, 0xb2,
0x58, 0x3f, 0x51, 0xe8, 0x5a, 0x5e, 0xb3, 0xa1,
0x55, 0x84, 0x0f, 0x20, 0x34, 0x73, 0x0e, 0x9b,
0x5a, 0xda, 0x38, 0xb6, 0x74, 0x33, 0x6a, 0x21 ) );
/* http://point-at-infinity.org/ecc/nisttv k=<largest> */
ELLIPTIC_MULTIPLY_TEST ( poi_large, &p256_curve, BASE_GENERATOR,
SCALAR ( 0xff, 0xff, 0xff, 0xff, 0x00, 0x00, 0x00, 0x00,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xbc, 0xe6, 0xfa, 0xad, 0xa7, 0x17, 0x9e, 0x84,
0xf3, 0xb9, 0xca, 0xc2, 0xfc, 0x63, 0x25, 0x50 ),
EXPECTED ( 0x6b, 0x17, 0xd1, 0xf2, 0xe1, 0x2c, 0x42, 0x47,
0xf8, 0xbc, 0xe6, 0xe5, 0x63, 0xa4, 0x40, 0xf2,
0x77, 0x03, 0x7d, 0x81, 0x2d, 0xeb, 0x33, 0xa0,
0xf4, 0xa1, 0x39, 0x45, 0xd8, 0x98, 0xc2, 0x96,
0xb0, 0x1c, 0xbd, 0x1c, 0x01, 0xe5, 0x80, 0x65,
0x71, 0x18, 0x14, 0xb5, 0x83, 0xf0, 0x61, 0xe9,
0xd4, 0x31, 0xcc, 0xa9, 0x94, 0xce, 0xa1, 0x31,
0x34, 0x49, 0xbf, 0x97, 0xc8, 0x40, 0xae, 0x0a ) );
/* Point at infinity */
ELLIPTIC_MULTIPLY_TEST ( infinity, &p256_curve,
BASE ( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
SCALAR ( 0x8d, 0x50, 0x48, 0x0c, 0xbe, 0x22, 0x4d, 0x01,
0xbc, 0xff, 0x67, 0x8d, 0xad, 0xb1, 0x87, 0x99,
0x47, 0xb9, 0x79, 0x02, 0xb0, 0x70, 0x47, 0xf0,
0x9f, 0x17, 0x25, 0x7e, 0xcf, 0x0b, 0x3e, 0x73 ),
EXPECTED ( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ) );
/* Invalid curve point (zero, base_y) */
ELLIPTIC_MULTIPLY_TEST ( invalid_zero, &p256_curve,
BASE ( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x4f, 0xe3, 0x42, 0xe2, 0xfe, 0x1a, 0x7f, 0x9b,
0x8e, 0xe7, 0xeb, 0x4a, 0x7c, 0x0f, 0x9e, 0x16,
0x2b, 0xce, 0x33, 0x57, 0x6b, 0x31, 0x5e, 0xce,
0xcb, 0xb6, 0x40, 0x68, 0x37, 0xbf, 0x51, 0xf4 ),
SCALAR ( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01 ),
EXPECTED_FAIL );
/* Invalid curve point (base_x, base_y - 1) */
ELLIPTIC_MULTIPLY_TEST ( invalid_one, &p256_curve,
BASE ( 0x6b, 0x17, 0xd1, 0xf2, 0xe1, 0x2c, 0x42, 0x47,
0xf8, 0xbc, 0xe6, 0xe5, 0x63, 0xa4, 0x40, 0xf2,
0x77, 0x03, 0x7d, 0x81, 0x2d, 0xeb, 0x33, 0xa0,
0xf4, 0xa1, 0x39, 0x45, 0xd8, 0x98, 0xc2, 0x96,
0x4f, 0xe3, 0x42, 0xe2, 0xfe, 0x1a, 0x7f, 0x9b,
0x8e, 0xe7, 0xeb, 0x4a, 0x7c, 0x0f, 0x9e, 0x16,
0x2b, 0xce, 0x33, 0x57, 0x6b, 0x31, 0x5e, 0xce,
0xcb, 0xb6, 0x40, 0x68, 0x37, 0xbf, 0x51, 0xf4 ),
SCALAR ( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x01 ),
EXPECTED_FAIL );
/* http://point-at-infinity.org/ecc/nisttv k=2 + k=2 => k=4 */
ELLIPTIC_ADD_TEST ( poi_2_2_4, &p256_curve,
ADDEND ( 0x7c, 0xf2, 0x7b, 0x18, 0x8d, 0x03, 0x4f, 0x7e,
0x8a, 0x52, 0x38, 0x03, 0x04, 0xb5, 0x1a, 0xc3,
0xc0, 0x89, 0x69, 0xe2, 0x77, 0xf2, 0x1b, 0x35,
0xa6, 0x0b, 0x48, 0xfc, 0x47, 0x66, 0x99, 0x78,
0x07, 0x77, 0x55, 0x10, 0xdb, 0x8e, 0xd0, 0x40,
0x29, 0x3d, 0x9a, 0xc6, 0x9f, 0x74, 0x30, 0xdb,
0xba, 0x7d, 0xad, 0xe6, 0x3c, 0xe9, 0x82, 0x29,
0x9e, 0x04, 0xb7, 0x9d, 0x22, 0x78, 0x73, 0xd1 ),
AUGEND ( 0x7c, 0xf2, 0x7b, 0x18, 0x8d, 0x03, 0x4f, 0x7e,
0x8a, 0x52, 0x38, 0x03, 0x04, 0xb5, 0x1a, 0xc3,
0xc0, 0x89, 0x69, 0xe2, 0x77, 0xf2, 0x1b, 0x35,
0xa6, 0x0b, 0x48, 0xfc, 0x47, 0x66, 0x99, 0x78,
0x07, 0x77, 0x55, 0x10, 0xdb, 0x8e, 0xd0, 0x40,
0x29, 0x3d, 0x9a, 0xc6, 0x9f, 0x74, 0x30, 0xdb,
0xba, 0x7d, 0xad, 0xe6, 0x3c, 0xe9, 0x82, 0x29,
0x9e, 0x04, 0xb7, 0x9d, 0x22, 0x78, 0x73, 0xd1 ),
EXPECTED ( 0xe2, 0x53, 0x4a, 0x35, 0x32, 0xd0, 0x8f, 0xbb,
0xa0, 0x2d, 0xde, 0x65, 0x9e, 0xe6, 0x2b, 0xd0,
0x03, 0x1f, 0xe2, 0xdb, 0x78, 0x55, 0x96, 0xef,
0x50, 0x93, 0x02, 0x44, 0x6b, 0x03, 0x08, 0x52,
0xe0, 0xf1, 0x57, 0x5a, 0x4c, 0x63, 0x3c, 0xc7,
0x19, 0xdf, 0xee, 0x5f, 0xda, 0x86, 0x2d, 0x76,
0x4e, 0xfc, 0x96, 0xc3, 0xf3, 0x0e, 0xe0, 0x05,
0x5c, 0x42, 0xc2, 0x3f, 0x18, 0x4e, 0xd8, 0xc6 ) );
/* http://point-at-infinity.org/ecc/nisttv k=3 + k=5 => k=8 */
ELLIPTIC_ADD_TEST ( poi_3_5_8, &p256_curve,
ADDEND ( 0x5e, 0xcb, 0xe4, 0xd1, 0xa6, 0x33, 0x0a, 0x44,
0xc8, 0xf7, 0xef, 0x95, 0x1d, 0x4b, 0xf1, 0x65,
0xe6, 0xc6, 0xb7, 0x21, 0xef, 0xad, 0xa9, 0x85,
0xfb, 0x41, 0x66, 0x1b, 0xc6, 0xe7, 0xfd, 0x6c,
0x87, 0x34, 0x64, 0x0c, 0x49, 0x98, 0xff, 0x7e,
0x37, 0x4b, 0x06, 0xce, 0x1a, 0x64, 0xa2, 0xec,
0xd8, 0x2a, 0xb0, 0x36, 0x38, 0x4f, 0xb8, 0x3d,
0x9a, 0x79, 0xb1, 0x27, 0xa2, 0x7d, 0x50, 0x32 ),
AUGEND ( 0x51, 0x59, 0x0b, 0x7a, 0x51, 0x51, 0x40, 0xd2,
0xd7, 0x84, 0xc8, 0x56, 0x08, 0x66, 0x8f, 0xdf,
0xef, 0x8c, 0x82, 0xfd, 0x1f, 0x5b, 0xe5, 0x24,
0x21, 0x55, 0x4a, 0x0d, 0xc3, 0xd0, 0x33, 0xed,
0xe0, 0xc1, 0x7d, 0xa8, 0x90, 0x4a, 0x72, 0x7d,
0x8a, 0xe1, 0xbf, 0x36, 0xbf, 0x8a, 0x79, 0x26,
0x0d, 0x01, 0x2f, 0x00, 0xd4, 0xd8, 0x08, 0x88,
0xd1, 0xd0, 0xbb, 0x44, 0xfd, 0xa1, 0x6d, 0xa4 ),
EXPECTED ( 0x62, 0xd9, 0x77, 0x9d, 0xbe, 0xe9, 0xb0, 0x53,
0x40, 0x42, 0x74, 0x2d, 0x3a, 0xb5, 0x4c, 0xad,
0xc1, 0xd2, 0x38, 0x98, 0x0f, 0xce, 0x97, 0xdb,
0xb4, 0xdd, 0x9d, 0xc1, 0xdb, 0x6f, 0xb3, 0x93,
0xad, 0x5a, 0xcc, 0xbd, 0x91, 0xe9, 0xd8, 0x24,
0x4f, 0xf1, 0x5d, 0x77, 0x11, 0x67, 0xce, 0xe0,
0xa2, 0xed, 0x51, 0xf6, 0xbb, 0xe7, 0x6a, 0x78,
0xda, 0x54, 0x0a, 0x6a, 0x0f, 0x09, 0x95, 0x7e ) );
/* http://point-at-infinity.org/ecc/nisttv k=1 + k=n-1 => infinity */
ELLIPTIC_ADD_TEST ( poi_1_n_1, &p256_curve,
ADDEND ( 0x6b, 0x17, 0xd1, 0xf2, 0xe1, 0x2c, 0x42, 0x47,
0xf8, 0xbc, 0xe6, 0xe5, 0x63, 0xa4, 0x40, 0xf2,
0x77, 0x03, 0x7d, 0x81, 0x2d, 0xeb, 0x33, 0xa0,
0xf4, 0xa1, 0x39, 0x45, 0xd8, 0x98, 0xc2, 0x96,
0x4f, 0xe3, 0x42, 0xe2, 0xfe, 0x1a, 0x7f, 0x9b,
0x8e, 0xe7, 0xeb, 0x4a, 0x7c, 0x0f, 0x9e, 0x16,
0x2b, 0xce, 0x33, 0x57, 0x6b, 0x31, 0x5e, 0xce,
0xcb, 0xb6, 0x40, 0x68, 0x37, 0xbf, 0x51, 0xf5 ),
AUGEND ( 0x6b, 0x17, 0xd1, 0xf2, 0xe1, 0x2c, 0x42, 0x47,
0xf8, 0xbc, 0xe6, 0xe5, 0x63, 0xa4, 0x40, 0xf2,
0x77, 0x03, 0x7d, 0x81, 0x2d, 0xeb, 0x33, 0xa0,
0xf4, 0xa1, 0x39, 0x45, 0xd8, 0x98, 0xc2, 0x96,
0xb0, 0x1c, 0xbd, 0x1c, 0x01, 0xe5, 0x80, 0x65,
0x71, 0x18, 0x14, 0xb5, 0x83, 0xf0, 0x61, 0xe9,
0xd4, 0x31, 0xcc, 0xa9, 0x94, 0xce, 0xa1, 0x31,
0x34, 0x49, 0xbf, 0x97, 0xc8, 0x40, 0xae, 0x0a ),
EXPECTED ( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ) );
/**
* Perform P-256 self-test
*
*/
static void p256_test_exec ( void ) {
/* Curve sanity test */
elliptic_curve_ok ( &p256_curve );
/* Multiplication tests from http://point-at-infinity.org/ecc/nisttv */
elliptic_multiply_ok ( &poi_1 );
elliptic_multiply_ok ( &poi_2 );
elliptic_multiply_ok ( &poi_2_20 );
elliptic_multiply_ok ( &poi_mid );
elliptic_multiply_ok ( &poi_large );
/* Point at infinity */
elliptic_multiply_ok ( &infinity );
/* Invalid point tests */
elliptic_multiply_ok ( &invalid_zero );
elliptic_multiply_ok ( &invalid_one );
/* Addition tests from http://point-at-infinity.org/ecc/nisttv */
elliptic_add_ok ( &poi_2_2_4 );
elliptic_add_ok ( &poi_3_5_8 );
elliptic_add_ok ( &poi_1_n_1 );
}
/** P-256 self-test */
struct self_test p256_test __self_test = {
.name = "p256",
.exec = p256_test_exec,
};