| /* |
| * Elliptic curves over GF(p): generic functions |
| * |
| * Copyright The Mbed TLS Contributors |
| * SPDX-License-Identifier: Apache-2.0 |
| * |
| * Licensed under the Apache License, Version 2.0 (the "License"); you may |
| * not use this file except in compliance with the License. |
| * You may obtain a copy of the License at |
| * |
| * http://www.apache.org/licenses/LICENSE-2.0 |
| * |
| * Unless required by applicable law or agreed to in writing, software |
| * distributed under the License is distributed on an "AS IS" BASIS, WITHOUT |
| * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. |
| * See the License for the specific language governing permissions and |
| * limitations under the License. |
| */ |
| |
| #include "common.h" |
| |
| #if defined(MBEDTLS_ECP_C) |
| |
| #include "mbedtls/ctr_drbg.h" |
| #include "mbedtls/ecp.h" |
| #include "mbedtls/entropy.h" |
| #include "mbedtls/error.h" |
| #include "mbedtls/platform.h" |
| #include "test_utils.h" |
| |
| #if defined(MBEDTLS_ECP_ALT) |
| |
| #if defined(MBEDTLS_SELF_TEST) |
| |
| #pragma GCC diagnostic push |
| #pragma GCC diagnostic ignored "-Woverride-init" |
| #pragma GCC diagnostic ignored "-Wvla" |
| #pragma GCC diagnostic ignored "-Wstack-usage=" |
| |
| /**************************************************************** |
| * Test vectors |
| ****************************************************************/ |
| |
| static const struct |
| { |
| mbedtls_ecp_group_id ecp_group_id; |
| const unsigned char * sk; |
| const size_t sk_len; |
| const unsigned char * pk; |
| const size_t pk_len; |
| const unsigned char * sum; |
| } ecp_test_cases[] = { |
| #if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED) |
| { .ecp_group_id = MBEDTLS_ECP_DP_SECP521R1, |
| .sk = (const unsigned char[]){ 0x01, 0xeb, 0x60, 0x88, 0x03, 0x15, 0x7b, 0x13, 0xb1, 0xc3, 0x5b, 0xa8, 0x7b, 0x09, |
| 0xa4, 0x2e, 0xa6, 0x0f, 0xc7, 0x06, 0x66, 0x55, 0x22, 0x57, 0x0c, 0x08, 0x5a, 0x50, |
| 0xa4, 0x44, 0x5f, 0xea, 0x85, 0xed, 0x7f, 0xf3, 0xcf, 0x0c, 0x01, 0xd9, 0x4a, 0x87, |
| 0x9e, 0xcc, 0xa4, 0x60, 0x1b, 0x3d, 0x08, 0xfb, 0x37, 0x8d, 0x51, 0x07, 0x76, 0xcc, |
| 0xf1, 0x32, 0x0d, 0x8d, 0x12, 0x41, 0x2b, 0xa4, 0x5d, 0x8d }, |
| .sk_len = 66, |
| .pk = (const unsigned char[]){ 0x04, 0x00, 0xef, 0xa5, 0x11, 0x33, 0x8b, 0x71, 0xba, 0x23, 0x9a, 0x37, 0xed, 0xad, 0xfa, |
| 0xf6, 0x94, 0x3f, 0xac, 0x7e, 0x23, 0x63, 0x4f, 0xcd, 0xad, 0x45, 0x70, 0xa9, 0x0b, 0x26, |
| 0xee, 0x96, 0x4f, 0x7e, 0x46, 0xce, 0xa7, 0xe5, 0x1f, 0xa3, 0xcc, 0xa5, 0xe1, 0x64, 0x57, |
| 0x92, 0x1a, 0x29, 0xa4, 0x1a, 0x0c, 0x82, 0xd4, 0x40, 0x59, 0x20, 0x20, 0x99, 0x87, 0xf3, |
| 0x46, 0x04, 0x9e, 0x25, 0x1a, 0x6d, 0x21, 0x01, 0x2a, 0xd3, 0x86, 0x7a, 0x8c, 0xcc, 0xfa, |
| 0x68, 0x99, 0x1f, 0xc5, 0x60, 0x35, 0x7b, 0x34, 0x8f, 0xf1, 0xfd, 0xa3, 0x5a, 0xac, 0x9b, |
| 0x09, 0xdf, 0xa5, 0x44, 0x45, 0xd8, 0xc9, 0x49, 0xa9, 0x05, 0xa5, 0x45, 0xba, 0xfc, 0x3b, |
| 0xb4, 0xe0, 0xda, 0x9d, 0x67, 0x3d, 0xb4, 0x05, 0xa7, 0x39, 0x57, 0xa2, 0x7d, 0x12, 0x6f, |
| 0x5c, 0x34, 0xab, 0xc1, 0x8d, 0xef, 0xe0, 0xec, 0x9a, 0xed, 0xad, 0x1b, 0x71 }, |
| .pk_len = 133, |
| .sum = (const unsigned char[]){ 0x04, 0x01, 0x68, 0x45, 0x34, 0x25, 0x5b, 0xad, 0x67, 0x54, 0x6b, 0x7c, 0x45, 0xe7, 0x60, |
| 0x7b, 0xe7, 0x2f, 0xe4, 0x94, 0xf6, 0x28, 0x06, 0x74, 0x0d, 0x85, 0xe4, 0xba, 0xcb, 0xec, |
| 0x51, 0xed, 0x37, 0xda, 0xbb, 0xf0, 0xb5, 0xa9, 0x07, 0xe4, 0xca, 0xed, 0x79, 0xb1, 0x2d, |
| 0xce, 0xf8, 0x4d, 0x7a, 0xee, 0x85, 0x41, 0x48, 0xac, 0x16, 0x51, 0x20, 0x88, 0x1e, 0x49, |
| 0x03, 0xc5, 0x1f, 0x99, 0x3f, 0x8a, 0x7d, 0x00, 0x10, 0xe1, 0xb7, 0xf9, 0x28, 0x76, 0xe4, |
| 0xf5, 0x36, 0xc0, 0x57, 0xd5, 0xf9, 0xba, 0xab, 0x49, 0x32, 0xf9, 0x84, 0xa9, 0x53, 0x14, |
| 0x73, 0xfe, 0xfe, 0xf3, 0xe9, 0xa2, 0xf4, 0x0d, 0xa6, 0x3c, 0xd7, 0x3a, 0x3b, 0xfc, 0x30, |
| 0xaa, 0xff, 0x2c, 0x86, 0x7a, 0xa7, 0xf0, 0x0b, 0x83, 0xb7, 0x3a, 0x98, 0x52, 0xac, 0x66, |
| 0x0c, 0x4c, 0x4b, 0x49, 0x9f, 0xea, 0xfa, 0x2b, 0xa6, 0x32, 0xe4, 0x87, 0xbf } }, |
| #endif /* MBEDTLS_ECP_DP_SECP521R1_ENABLED */ |
| #if defined(MBEDTLS_ECP_DP_BP512R1_ENABLED) |
| { .ecp_group_id = MBEDTLS_ECP_DP_BP512R1, |
| .sk = |
| (const unsigned char[]){ 0x64, 0x35, 0x05, 0x6c, 0x1d, 0x98, 0xc8, 0xe1, 0x30, 0x5e, 0xf4, 0x11, 0x2c, 0x05, 0x68, 0x98, |
| 0x31, 0xf4, 0xba, 0x16, 0xf4, 0x67, 0x9a, 0x78, 0x6a, 0x8f, 0x7c, 0x18, 0x36, 0xca, 0x3f, 0xd4, |
| 0xc1, 0x4a, 0x9b, 0xfd, 0x32, 0x70, 0x68, 0x76, 0xb1, 0xc8, 0x1d, 0x9a, 0xae, 0x8a, 0x24, 0x01, |
| 0xad, 0xf7, 0x45, 0x36, 0x18, 0x23, 0x9e, 0x3e, 0x1e, 0xf2, 0xfa, 0x03, 0x35, 0xd1, 0xad, 0x92 }, |
| .sk_len = 64, |
| .pk = (const unsigned char[]){ 0x04, 0x47, 0x6a, 0x9d, 0x4e, 0xb4, 0xb9, 0x1c, 0x82, 0x11, 0xa4, 0xff, 0x40, 0x60, 0xf1, |
| 0x34, 0xd8, 0x29, 0x26, 0xa8, 0xd8, 0xcc, 0x08, 0x38, 0x5d, 0xe4, 0x93, 0xc0, 0xfc, 0xb2, |
| 0xe5, 0x60, 0x39, 0x1f, 0x7c, 0x37, 0x60, 0x77, 0xc6, 0x1d, 0x4b, 0x4d, 0x3c, 0x61, 0xcf, |
| 0x6e, 0x38, 0x44, 0x37, 0x7c, 0x7f, 0x42, 0x7b, 0xbf, 0x8e, 0x45, 0x79, 0x53, 0x8a, 0x94, |
| 0x4d, 0xef, 0x08, 0xb0, 0x99, 0x92, 0xce, 0xa2, 0xa7, 0x87, 0xda, 0x2c, 0x92, 0x2a, 0x59, |
| 0x58, 0xc4, 0xa2, 0x05, 0x77, 0x8a, 0x31, 0x68, 0x36, 0xf4, 0x4d, 0x61, 0xb3, 0x27, 0x97, |
| 0xc5, 0x98, 0x24, 0xed, 0x6c, 0x28, 0x8c, 0xee, 0xd8, 0x2c, 0xc3, 0x90, 0xf1, 0x36, 0xc6, |
| 0x62, 0xca, 0x3c, 0xb9, 0xa4, 0x4f, 0x27, 0x92, 0x7f, 0x8b, 0x43, 0x36, 0x43, 0x04, 0x82, |
| 0xb7, 0x4b, 0x52, 0x9a, 0x02, 0xc9, 0x2a, 0x08, 0x36 }, |
| .pk_len = 129, |
| .sum = (const unsigned char[]){ 0x04, 0x1d, 0x10, 0xaa, 0xb7, 0x2b, 0x6b, 0x1c, 0x8e, 0xde, 0x85, 0x9b, 0xf3, 0x8c, 0xaf, |
| 0xbb, 0x86, 0xdd, 0xc9, 0x0b, 0xc0, 0xdc, 0x28, 0x1c, 0xf4, 0x1e, 0x81, 0x9d, 0x8a, 0x93, |
| 0x43, 0xcf, 0xf9, 0xfe, 0x30, 0xb2, 0x04, 0x50, 0x08, 0x96, 0x1c, 0x61, 0xc7, 0x5c, 0xea, |
| 0x28, 0xef, 0x9e, 0x9a, 0x34, 0xaf, 0x77, 0x2b, 0x89, 0x63, 0x6d, 0x81, 0x72, 0x6a, 0x72, |
| 0x3d, 0xca, 0x10, 0x1f, 0xfc, 0x9d, 0xe5, 0x89, 0xd7, 0x82, 0x46, 0xe2, 0x59, 0x88, 0xa8, |
| 0x4d, 0x2c, 0x91, 0x28, 0x5d, 0x40, 0x8d, 0xc0, 0xe9, 0x4f, 0xb1, 0x70, 0xcf, 0xf3, 0x05, |
| 0xb6, 0xb8, 0xf9, 0xd7, 0x24, 0x7e, 0xf5, 0x9d, 0x65, 0x4f, 0xb6, 0xb8, 0x7f, 0x44, 0xae, |
| 0x38, 0x21, 0xbc, 0x32, 0xef, 0x6f, 0xf7, 0x8a, 0xd5, 0xa5, 0xe7, 0xee, 0xa3, 0x76, 0xc5, |
| 0xee, 0x1f, 0x4f, 0x7c, 0xfc, 0x8e, 0x39, 0x7b, 0xe7 } }, |
| #endif /* MBEDTLS_ECP_DP_BP512R1_ENABLED */ |
| #if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED) |
| { .ecp_group_id = MBEDTLS_ECP_DP_SECP384R1, |
| .sk = |
| (const unsigned char[]){ 0x35, 0x05, 0x64, 0x07, 0xb0, 0xfd, 0x3e, 0x09, 0xe3, 0x07, 0x41, 0xdc, 0x8a, 0xd3, 0xef, 0xc7, |
| 0xad, 0x29, 0xc5, 0x97, 0x8a, 0xbb, 0x15, 0x10, 0xac, 0xd2, 0x47, 0xac, 0xdc, 0xa7, 0x45, 0xf0, |
| 0x27, 0x17, 0x8f, 0x4a, 0x7a, 0xd1, 0xcc, 0xd2, 0x17, 0xc2, 0x22, 0x6a, 0x99, 0xf1, 0x8b, 0xc0 }, |
| .sk_len = 48, |
| .pk = (const unsigned char[]){ 0x04, 0xc8, 0x2d, 0xaa, 0x27, 0xd0, 0x91, 0x1f, 0x3d, 0x41, 0xf5, 0xe7, 0xa6, 0x46, |
| 0xae, 0xf8, 0xca, 0x74, 0x31, 0x63, 0xe2, 0x1f, 0x38, 0x25, 0x05, 0x5f, 0xa0, 0xfa, |
| 0x49, 0x51, 0x71, 0xea, 0x4f, 0xb6, 0x1a, 0xc3, 0xfd, 0xf3, 0x8e, 0x95, 0xe6, 0xfe, |
| 0x7b, 0xff, 0x65, 0x26, 0xd4, 0xf0, 0x8e, 0x06, 0x70, 0x03, 0x10, 0xba, 0xd8, 0x7c, |
| 0x54, 0x55, 0x23, 0x18, 0x57, 0x27, 0x6d, 0xe2, 0xc4, 0x4e, 0x30, 0xb7, 0x36, 0xdc, |
| 0x15, 0xb6, 0xdf, 0xaf, 0xb0, 0xe4, 0x78, 0xbb, 0xad, 0x1d, 0xf0, 0x50, 0x00, 0xbd, |
| 0x90, 0xfa, 0x4c, 0xb3, 0x3d, 0xbc, 0xf9, 0x54, 0xf6, 0x61, 0xaf, 0xcb, 0xfc }, |
| .pk_len = 97, |
| .sum = (const unsigned char[]){ 0x04, 0xf5, 0xf1, 0x09, 0xb7, 0x3d, 0x7e, 0x05, 0x13, 0xc7, 0x6a, 0x99, 0x17, 0xcf, |
| 0x3b, 0x5a, 0x5a, 0x04, 0x1a, 0x6e, 0xa4, 0x23, 0x9d, 0x47, 0xab, 0x04, 0x5e, 0xe4, |
| 0x83, 0xa3, 0x0b, 0xac, 0x16, 0x2d, 0x6e, 0x5d, 0x87, 0x23, 0xcd, 0xbc, 0x3b, 0xdb, |
| 0xb7, 0x21, 0xc1, 0x18, 0x19, 0x8d, 0x3b, 0x80, 0x6f, 0x93, 0xa6, 0xbd, 0xa0, 0x72, |
| 0x7d, 0x58, 0x90, 0xa4, 0x87, 0x8a, 0xe4, 0x6d, 0x1c, 0xf5, 0xeb, 0x3b, 0x8b, 0x38, |
| 0x97, 0x42, 0x33, 0x3c, 0x9e, 0x43, 0x4d, 0x63, 0x7a, 0x21, 0x9e, 0x02, 0x7a, 0x0d, |
| 0x19, 0x26, 0x45, 0xa8, 0x74, 0x29, 0x7c, 0x24, 0x8e, 0x71, 0x95, 0xcf, 0x9d } }, |
| #endif /* MBEDTLS_ECP_DP_SECP384R1_ENABLED */ |
| #if defined(MBEDTLS_ECP_DP_BP384R1_ENABLED) |
| { .ecp_group_id = MBEDTLS_ECP_DP_BP384R1, |
| .sk = |
| (const unsigned char[]){ 0x50, 0xff, 0xbb, 0xab, 0x9c, 0x62, 0x8c, 0x3e, 0xc4, 0x1d, 0xb9, 0x00, 0x5e, 0x1a, 0xf0, 0x8d, |
| 0x64, 0x58, 0x44, 0x97, 0x2c, 0xf5, 0x2f, 0xcf, 0x7d, 0xb8, 0x36, 0xcc, 0x3a, 0x33, 0x46, 0x85, |
| 0x4c, 0xf5, 0x6f, 0x89, 0xfc, 0xd9, 0xc4, 0x98, 0xc5, 0x12, 0x8a, 0x59, 0xcb, 0xff, 0x91, 0xc7 }, |
| .sk_len = 48, |
| .pk = (const unsigned char[]){ 0x04, 0x3a, 0xef, 0x56, 0x8a, 0x8b, 0x51, 0x2b, 0xb7, 0x49, 0x3c, 0x92, 0xc4, 0x6a, |
| 0x12, 0xd5, 0x84, 0x2f, 0x53, 0x89, 0x8c, 0x38, 0x29, 0x3f, 0xe0, 0xbc, 0x94, 0x47, |
| 0x5e, 0xd1, 0x74, 0x04, 0x50, 0x31, 0x6a, 0x80, 0xc3, 0xe3, 0x69, 0x02, 0xac, 0xe7, |
| 0xcd, 0x21, 0x65, 0x6c, 0x1d, 0x8a, 0x1a, 0x74, 0xf8, 0x79, 0x88, 0x75, 0x42, 0xe1, |
| 0x7c, 0xb1, 0x7d, 0xa7, 0xf8, 0xda, 0x57, 0xdc, 0x00, 0x1f, 0xd6, 0x07, 0xa6, 0xc6, |
| 0x85, 0xc5, 0x8d, 0xc3, 0xaa, 0x4c, 0xd1, 0x4f, 0xf9, 0x65, 0xf0, 0x56, 0xce, 0x0f, |
| 0x48, 0x54, 0x9a, 0xf4, 0xe2, 0x15, 0x08, 0x05, 0x9e, 0xbc, 0xb8, 0x17, 0x03 }, |
| .pk_len = 97, |
| .sum = (const unsigned char[]){ 0x04, 0x7c, 0x9b, 0xab, 0x7c, 0x51, 0xc0, 0x36, 0x5c, 0xdd, 0x22, 0xf7, 0x10, 0xb7, |
| 0x39, 0x14, 0x50, 0xf9, 0xe1, 0x05, 0x09, 0x74, 0x5b, 0x1a, 0x5c, 0x21, 0xcc, 0x10, |
| 0xca, 0x9a, 0xf4, 0x3a, 0x72, 0x57, 0x43, 0xfb, 0x52, 0x9e, 0x6d, 0x20, 0x77, 0x4a, |
| 0xcd, 0x6a, 0xd8, 0xa1, 0x39, 0x94, 0x7e, 0x7e, 0x08, 0x49, 0x91, 0x98, 0x86, 0x76, |
| 0xb7, 0xca, 0xb8, 0xbe, 0x15, 0xd6, 0x50, 0x64, 0xb2, 0x0c, 0x07, 0x6c, 0x07, 0x0f, |
| 0x48, 0xd4, 0xd9, 0x95, 0x2f, 0xf0, 0xb0, 0x21, 0xd0, 0x39, 0xe0, 0x43, 0xbd, 0x40, |
| 0x0a, 0xa7, 0x8d, 0xaf, 0x4b, 0xc3, 0xff, 0xf6, 0x76, 0xd4, 0x19, 0x2f, 0x7f } }, |
| #endif /* MBEDTLS_ECP_DP_BP384R1_ENABLED */ |
| #if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED) |
| { .ecp_group_id = MBEDTLS_ECP_DP_SECP256R1, |
| .sk = |
| (const unsigned char[]){ 0x3d, 0x1d, 0x83, 0xfa, 0xf6, 0xbb, 0x86, 0xe9, 0xf8, 0x9e, 0x45, 0x6a, 0xa8, 0x29, 0x6f, 0x52, |
| 0x04, 0x79, 0xff, 0xc4, 0x94, 0xd8, 0xe0, 0xe7, 0xcd, 0xe8, 0xe0, 0x83, 0xab, 0xcf, 0x63, 0x0b }, |
| .sk_len = 32, |
| .pk = (const unsigned char[]){ 0x04, 0xd3, 0x48, 0xb6, 0x80, 0x35, 0x49, 0x67, 0x97, 0xc9, 0x28, 0xc4, 0xfe, |
| 0xa6, 0x13, 0xe1, 0xb3, 0xee, 0x51, 0x95, 0xfd, 0x20, 0x7f, 0xe7, 0xdc, 0x7d, |
| 0xc0, 0x6b, 0x4e, 0xa6, 0x5d, 0x6f, 0x42, 0x61, 0xc4, 0xeb, 0x3b, 0x95, 0x5e, |
| 0xea, 0x57, 0xe1, 0x21, 0xcc, 0x11, 0xd6, 0x79, 0x7c, 0x5f, 0xf7, 0x52, 0xea, |
| 0x17, 0x07, 0x81, 0xb5, 0x53, 0x7e, 0xbb, 0x4f, 0xba, 0xdd, 0xbf, 0xd4, 0x08 }, |
| .pk_len = 65, |
| .sum = (const unsigned char[]){ 0x04, 0xd4, 0x87, 0x27, 0x27, 0xbf, 0xaf, 0x6a, 0xea, 0xb7, 0x84, 0xa8, 0x1a, |
| 0xd8, 0x29, 0x9e, 0x2b, 0xa7, 0x87, 0x4f, 0xa9, 0xb5, 0x7a, 0x66, 0x5f, 0xbe, |
| 0x5c, 0xef, 0x83, 0x49, 0x89, 0xd1, 0x34, 0x46, 0x2a, 0x54, 0xe6, 0x92, 0x56, |
| 0xde, 0xcd, 0x44, 0xe9, 0x99, 0x2a, 0x80, 0xad, 0x78, 0xe6, 0x29, 0xcc, 0x77, |
| 0xdd, 0x1c, 0x93, 0x03, 0xe2, 0xe9, 0x99, 0x58, 0x86, 0x8f, 0xea, 0xac, 0x3d } }, |
| #endif /* MBEDTLS_ECP_DP_SECP256R1_ENABLED */ |
| #if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED) |
| { .ecp_group_id = MBEDTLS_ECP_DP_SECP256K1, |
| .sk = |
| (const unsigned char[]){ 0x38, 0x4c, 0x12, 0x83, 0xf8, 0x4d, 0xba, 0x47, 0xcf, 0x6b, 0x71, 0xff, 0xc3, 0x7c, 0x8d, 0x08, |
| 0x65, 0xee, 0xed, 0x5b, 0x2b, 0x48, 0xf3, 0x79, 0xdf, 0x52, 0x53, 0xff, 0x10, 0xf9, 0x22, 0x7c }, |
| .sk_len = 32, |
| .pk = (const unsigned char[]){ 0x04, 0x73, 0x06, 0x4b, 0x4b, 0x3e, 0x38, 0x2f, 0xa0, 0x89, 0x1f, 0x61, 0xfc, |
| 0x85, 0xf9, 0x51, 0xbe, 0xe4, 0x3d, 0x2c, 0xe9, 0x3e, 0xb0, 0x79, 0x77, 0xaf, |
| 0x9f, 0xd7, 0xd9, 0x71, 0x68, 0x31, 0x22, 0xc4, 0x9a, 0x25, 0x0c, 0x81, 0x64, |
| 0x0a, 0xc7, 0xd5, 0x40, 0xb3, 0xe8, 0x9f, 0xb5, 0xb3, 0xc4, 0xc9, 0x6a, 0x13, |
| 0x3e, 0xf8, 0x3e, 0x8d, 0xa2, 0xfe, 0x1d, 0xd0, 0x47, 0x64, 0x88, 0x8e, 0x7a }, |
| .pk_len = 65, |
| .sum = (const unsigned char[]){ 0x04, 0x50, 0x81, 0x70, 0xde, 0x4b, 0x36, 0x41, 0xe8, 0x1a, 0x41, 0xf0, 0x5b, |
| 0x88, 0x1e, 0x4e, 0xed, 0xed, 0x46, 0x0c, 0xf3, 0xd5, 0xfb, 0xe6, 0x8a, 0x13, |
| 0xa1, 0xf5, 0x57, 0x69, 0x0a, 0x3d, 0x33, 0x0f, 0x6f, 0xb5, 0x99, 0x80, 0x58, |
| 0x12, 0xc2, 0x12, 0x62, 0xfc, 0xd2, 0x5b, 0x2e, 0xa2, 0x27, 0xe7, 0x99, 0xab, |
| 0x91, 0x51, 0x41, 0x0f, 0x06, 0x1e, 0x3d, 0xfd, 0x06, 0xa1, 0x8a, 0xc7, 0xf2 } }, |
| #endif /* MBEDTLS_ECP_DP_SECP256K1_ENABLED */ |
| #if defined(MBEDTLS_ECP_DP_BP256R1_ENABLED) |
| { .ecp_group_id = MBEDTLS_ECP_DP_BP256R1, |
| .sk = |
| (const unsigned char[]){ 0xa6, 0xb5, 0x48, 0x3f, 0x74, 0xd9, 0x94, 0x9f, 0x09, 0xcd, 0x56, 0x29, 0x19, 0xde, 0xfc, 0x41, |
| 0x3a, 0x83, 0xf1, 0x2a, 0xda, 0x4f, 0x5f, 0xf4, 0x8e, 0xb5, 0x20, 0x59, 0x11, 0x8e, 0xe6, 0x03 }, |
| .sk_len = 32, |
| .pk = (const unsigned char[]){ 0x04, 0x95, 0x44, 0xdb, 0xb4, 0xdc, 0x6f, 0x39, 0x23, 0xb1, 0x3b, 0x13, 0xb6, |
| 0xcc, 0xcc, 0xde, 0xfb, 0xc0, 0x10, 0xfa, 0x8a, 0x06, 0x30, 0xb9, 0x10, 0x22, |
| 0xc8, 0x84, 0x7c, 0xf3, 0xba, 0xbd, 0x3a, 0x67, 0xb4, 0x48, 0x68, 0x59, 0x54, |
| 0x68, 0xab, 0x2d, 0x2d, 0x6f, 0xa7, 0xbf, 0x61, 0x92, 0x2b, 0x07, 0xc0, 0x8c, |
| 0xb9, 0x3f, 0x88, 0x02, 0x09, 0xfe, 0xfa, 0x72, 0x87, 0x19, 0xaa, 0x19, 0xcc }, |
| .pk_len = 65, |
| .sum = (const unsigned char[]){ 0x04, 0x7d, 0x88, 0xb4, 0x73, 0xa0, 0x7d, 0x66, 0x5c, 0xc2, 0x9b, 0x7a, 0xbc, |
| 0x0c, 0xab, 0x04, 0xc9, 0x79, 0x3e, 0x9a, 0x4e, 0xd3, 0x27, 0x75, 0x1e, 0x4d, |
| 0x07, 0x7b, 0x5c, 0xbc, 0xce, 0x15, 0xdb, 0x01, 0xb3, 0xd0, 0xcd, 0x27, 0x1b, |
| 0xe1, 0x57, 0x58, 0x07, 0x88, 0xfd, 0xfd, 0x89, 0xd7, 0x71, 0xcf, 0xbb, 0xa2, |
| 0xcb, 0x03, 0xd4, 0x34, 0xb1, 0x9e, 0x34, 0x21, 0x31, 0x07, 0x51, 0x6a, 0x0e } }, |
| #endif /* MBEDTLS_ECP_DP_BP256R1_ENABLED */ |
| #if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED) |
| { .ecp_group_id = MBEDTLS_ECP_DP_SECP224R1, |
| .sk = (const unsigned char[]){ 0x34, 0xac, 0xe1, 0x1f, 0xfa, 0x5e, 0x25, 0xac, 0xee, 0x68, 0xa8, 0xc1, 0x47, 0x64, |
| 0xa2, 0xa4, 0x69, 0xd5, 0x2c, 0x99, 0x3c, 0x77, 0xf9, 0xc2, 0x38, 0x42, 0x79, 0x93 }, |
| .sk_len = 28, |
| .pk = (const unsigned char[]){ 0x04, 0x37, 0x84, 0x05, 0x01, 0xf4, 0x98, 0x12, 0x37, 0x5e, 0xf7, 0x13, 0xcb, 0x29, 0x6a, |
| 0x43, 0xf4, 0x47, 0xd2, 0xe4, 0x14, 0x3c, 0x10, 0xef, 0x9c, 0x00, 0x59, 0xb6, 0x01, 0x69, |
| 0x71, 0x76, 0x46, 0x9e, 0x85, 0xa7, 0xc6, 0x39, 0x23, 0x59, 0xf7, 0xfd, 0x41, 0xfe, 0xa8, |
| 0x3e, 0x6b, 0x97, 0x68, 0xe4, 0x5b, 0x1d, 0xea, 0xcd, 0x85, 0x15, 0xa3 }, |
| .pk_len = 57, |
| .sum = (const unsigned char[]){ 0x04, 0x7d, 0x26, 0x1b, 0xf6, 0xb4, 0xa9, 0x45, 0xf8, 0x0f, 0x93, 0xef, 0x05, 0x43, 0x98, |
| 0x1b, 0x48, 0xf5, 0xea, 0x5c, 0x07, 0x7d, 0xe9, 0x42, 0xc6, 0x9a, 0x11, 0x27, 0x62, 0x00, |
| 0xef, 0x24, 0x13, 0x53, 0xe0, 0x6b, 0x9b, 0xf5, 0xdd, 0x76, 0xfe, 0xa9, 0xd0, 0x0e, 0xdc, |
| 0x1f, 0x3d, 0xec, 0x15, 0x36, 0x5e, 0x53, 0xe1, 0x30, 0xb7, 0x25, 0x26 } }, |
| #endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED */ |
| #if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED) |
| { .ecp_group_id = MBEDTLS_ECP_DP_SECP224K1, |
| .sk = (const unsigned char[]){ 0xba, 0xc8, 0xa0, 0x42, 0xe1, 0x0c, 0xa2, 0xf3, 0xf0, 0x76, 0x04, 0x74, 0xb7, 0x1a, |
| 0x8f, 0x42, 0xc3, 0x25, 0xeb, 0x57, 0xcd, 0x8d, 0xb0, 0xf9, 0x73, 0x1a, 0x18, 0x26 }, |
| .sk_len = 28, |
| .pk = (const unsigned char[]){ 0x04, 0x7f, 0x07, 0xbe, 0xb0, 0x26, 0xd8, 0x6c, 0xe4, 0x09, 0xe8, 0xa6, 0x21, 0x70, 0x37, |
| 0x52, 0xd6, 0x14, 0x58, 0x4c, 0x99, 0xc8, 0x62, 0x28, 0x6c, 0xeb, 0x3f, 0xf8, 0x30, 0xbb, |
| 0x82, 0x4c, 0x8a, 0x88, 0xb4, 0x7f, 0x14, 0x17, 0xd0, 0xf5, 0xba, 0xd0, 0x0f, 0xf6, 0xb8, |
| 0x8c, 0xbb, 0x11, 0x3e, 0x7d, 0x73, 0xc5, 0xf4, 0x4d, 0x22, 0x78, 0x0f }, |
| .pk_len = 57, |
| .sum = (const unsigned char[]){ 0x04, 0xb2, 0xbe, 0x4b, 0xc0, 0x62, 0xf2, 0xf6, 0x0e, 0x7f, 0x48, 0x25, 0x50, 0x81, 0xed, |
| 0xac, 0x14, 0xaa, 0x42, 0x5f, 0x0d, 0x12, 0x52, 0x6d, 0xe0, 0xbc, 0x08, 0x0b, 0x9f, 0xc9, |
| 0x82, 0x19, 0x07, 0xbf, 0x19, 0x1a, 0x1c, 0xdc, 0x75, 0xbc, 0xe4, 0x5d, 0xcb, 0x4b, 0x9f, |
| 0x2a, 0xbf, 0x1c, 0xd2, 0xa3, 0x63, 0x33, 0x3f, 0x32, 0xd0, 0xcf, 0x33 } }, |
| #endif /* MBEDTLS_ECP_DP_SECP224K1_ENABLED */ |
| #if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED) |
| { .ecp_group_id = MBEDTLS_ECP_DP_SECP192R1, |
| .sk = (const unsigned char[]){ 0x52, 0x9f, 0x95, 0xf5, 0x4e, 0x73, 0xb6, 0x75, 0x14, 0xcc, 0x92, 0x0c, |
| 0xcc, 0x07, 0x84, 0x06, 0x01, 0xf3, 0xde, 0x42, 0xad, 0x79, 0x6c, 0x82 }, |
| .sk_len = 24, |
| .pk = (const unsigned char[]){ 0x04, 0x61, 0xe9, 0x8d, 0x7e, 0x8e, 0x40, 0x31, 0x20, 0x27, 0xfb, 0x3f, 0x45, |
| 0x4b, 0x65, 0x0e, 0xfc, 0x41, 0x56, 0x49, 0x20, 0xe6, 0x5c, 0xd4, 0xaa, 0x40, |
| 0xfe, 0xbc, 0x03, 0xc1, 0xfc, 0x0d, 0x5e, 0x4f, 0xe9, 0x55, 0x08, 0x8c, 0x90, |
| 0x04, 0xeb, 0xdc, 0x63, 0x89, 0xb2, 0x58, 0x28, 0xfa, 0x28 }, |
| .pk_len = 49, |
| .sum = (const unsigned char[]){ 0x04, 0x0a, 0xe7, 0xc5, 0x9e, 0x3b, 0x36, 0xb9, 0x38, 0xdd, 0x75, 0x41, 0x7c, |
| 0x2d, 0x90, 0xaf, 0x2d, 0x62, 0xf5, 0x5a, 0x86, 0xfe, 0xa0, 0x5f, 0x22, 0xdb, |
| 0xf3, 0xba, 0x49, 0x47, 0x7d, 0x74, 0x59, 0x02, 0xb3, 0x6c, 0xf2, 0x1e, 0x18, |
| 0x5b, 0xea, 0x1a, 0xcb, 0xb0, 0x1d, 0x4b, 0x68, 0xec, 0xab |
| |
| } }, |
| #endif /* MBEDTLS_ECP_DP_SECP192R1_ENABLED */ |
| #if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED) |
| { .ecp_group_id = MBEDTLS_ECP_DP_SECP192K1, |
| .sk = (const unsigned char[]){ 0xf2, 0x58, 0xcf, 0xba, 0xb6, 0xb0, 0xb4, 0x03, 0x9e, 0xb2, 0x74, 0xfc, |
| 0x70, 0xfc, 0x99, 0x0c, 0xcc, 0xed, 0xf4, 0x5f, 0x32, 0x72, 0x22, 0x94 }, |
| .sk_len = 24, |
| .pk = (const unsigned char[]){ 0x04, 0xac, 0xe4, 0x74, 0xd8, 0x67, 0x26, 0x60, 0xff, 0x35, 0x10, 0x74, 0xa1, |
| 0x4e, 0x46, 0xed, 0x2b, 0x94, 0x10, 0x13, 0x01, 0x51, 0x8f, 0xe7, 0xf1, 0xe8, |
| 0x3d, 0x4a, 0x32, 0x87, 0xe7, 0x4f, 0x39, 0x87, 0xa5, 0x86, 0xef, 0xd1, 0xc8, |
| 0x12, 0xc8, 0x9b, 0xcd, 0xc6, 0x3d, 0x8d, 0x7a, 0x1b, 0x70 }, |
| .pk_len = 49, |
| .sum = (const unsigned char[]){ 0x04, 0x7c, 0xe5, 0xe9, 0x57, 0x0c, 0x36, 0x88, 0x8f, 0xaf, 0xe5, 0x4a, 0xac, |
| 0xf2, 0x2d, 0xf9, 0xba, 0xf9, 0xb5, 0xa2, 0x64, 0xa2, 0x0b, 0x9f, 0x69, 0xfb, |
| 0xc7, 0xe1, 0x88, 0xd1, 0xf5, 0x56, 0x6c, 0x6b, 0xc7, 0x64, 0x94, 0xd4, 0x86, |
| 0xf3, 0x6a, 0xe3, 0x5d, 0x33, 0xda, 0x48, 0x62, 0x18, 0x33 } }, |
| #endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED */ |
| #ifdef MBEDTLS_ECP_DP_CURVE25519_ENABLED |
| { .ecp_group_id = MBEDTLS_ECP_DP_CURVE25519, |
| .sk = |
| (const unsigned char[]){ 0x60, 0xc6, 0x2b, 0x85, 0x21, 0x87, 0xf7, 0xd5, 0xdb, 0x8a, 0xa0, 0x3c, 0xe1, 0x73, 0x66, 0xe6, |
| 0xcf, 0x57, 0xcd, 0xa2, 0x5a, 0xd0, 0xb1, 0xb8, 0xdd, 0xf1, 0x2f, 0x6e, 0x5f, 0xcd, 0x50, 0x30 }, |
| .sk_len = 32, |
| .pk = |
| (const unsigned char[]){ 0x36, 0xce, 0xe3, 0x98, 0x09, 0xe1, 0x72, 0xca, 0xcd, 0x26, 0x79, 0xa9, 0xbf, 0xc4, 0xda, 0xd9, |
| 0x65, 0x4a, 0x53, 0x23, 0xf4, 0x02, 0x75, 0x7c, 0xe2, 0xc6, 0x4a, 0x7c, 0x1c, 0xd2, 0xf6, 0x4d }, |
| .pk_len = 32, |
| .sum = NULL }, |
| #endif |
| #if defined(MBEDTLS_ECP_DP_CURVE448_ENABLED) |
| { .ecp_group_id = MBEDTLS_ECP_DP_CURVE448, |
| .sk = (const unsigned char[]){ 0xf5, 0x73, 0x0e, 0x50, 0xb2, 0xd3, 0x3b, 0x01, 0x28, 0x29, 0xa0, 0xa1, 0x43, 0x92, |
| 0x2f, 0x05, 0x40, 0xc3, 0x5f, 0xcf, 0xc1, 0x53, 0x49, 0xc2, 0x0c, 0xf4, 0x49, 0x99, |
| 0xdb, 0xb9, 0x64, 0x10, 0x25, 0x18, 0x82, 0x24, 0x2c, 0xdf, 0x25, 0xb6, 0xac, 0xb1, |
| 0xe6, 0x11, 0x26, 0xa9, 0x96, 0x16, 0x16, 0x6c, 0x7b, 0xdd, 0x7c, 0x55, 0x5f, 0xf0 }, |
| .sk_len = 56, |
| .pk = (const unsigned char[]){ 0x4f, 0xf4, 0xd0, 0x42, 0x1a, 0xa6, 0xfc, 0x2d, 0xba, 0x7b, 0x45, 0x9e, 0xed, 0xd0, |
| 0xf1, 0x8c, 0xec, 0xeb, 0xae, 0x29, 0x27, 0x9f, 0xc7, 0xe8, 0x8a, 0xc7, 0xeb, 0x3c, |
| 0x18, 0xb8, 0x7f, 0x66, 0x2f, 0x8b, 0x0d, 0x68, 0xe8, 0x2e, 0x60, 0x91, 0x27, 0xa2, |
| 0x8c, 0x91, 0x2c, 0xf4, 0xa1, 0x58, 0x74, 0xc9, 0x40, 0xfe, 0x50, 0x06, 0x1b, 0xe7 }, |
| .pk_len = 56, |
| .sum = NULL }, |
| #endif /* MBEDTLS_ECP_DP_CURVE448_ENABLED */ |
| }; |
| |
| /**************************************************************** |
| * Dummy variable to skip mbedtls_ecp_self_test sw functionality |
| ****************************************************************/ |
| const int __ecp_alt_b91_skip_internal_self_tests = 1; |
| |
| /**************************************************************** |
| * Public functions declaration |
| ****************************************************************/ |
| |
| int ecp_alt_b91_backend_test(int verbose) |
| { |
| int result = 0; |
| if (verbose) |
| mbedtls_printf("test started\n"); |
| |
| mbedtls_ctr_drbg_context ctr_drbg; |
| mbedtls_entropy_context entropy; |
| |
| mbedtls_ctr_drbg_init(&ctr_drbg); |
| mbedtls_entropy_init(&entropy); |
| |
| if ((result = mbedtls_ctr_drbg_seed(&ctr_drbg, mbedtls_entropy_func, &entropy, NULL, 0)) == 0) |
| { |
| |
| for (size_t i = 0; result == 0 && i < sizeof(ecp_test_cases) / sizeof(ecp_test_cases[0]); i++) |
| { |
| |
| const mbedtls_ecp_curve_info * ecp_curve_info = mbedtls_ecp_curve_info_from_grp_id(ecp_test_cases[i].ecp_group_id); |
| if (verbose) |
| mbedtls_printf("\tcurve: %s\n", ecp_curve_info->name); |
| |
| mbedtls_ecp_group ecp_group; |
| mbedtls_mpi sk; |
| mbedtls_ecp_point pk; |
| mbedtls_ecp_point pk_ref; |
| mbedtls_ecp_point sum; |
| mbedtls_ecp_point sum_ref; |
| |
| mbedtls_ecp_group_init(&ecp_group); |
| mbedtls_mpi_init(&sk); |
| mbedtls_ecp_point_init(&pk); |
| mbedtls_ecp_point_init(&pk_ref); |
| mbedtls_ecp_point_init(&sum); |
| mbedtls_ecp_point_init(&sum_ref); |
| |
| do |
| { |
| if ((result = mbedtls_ecp_group_load(&ecp_group, ecp_test_cases[i].ecp_group_id)) != 0) |
| { |
| if (verbose) |
| mbedtls_printf("mbedtls_ecp_group_load failed\n"); |
| break; |
| } |
| |
| if ((result = mbedtls_mpi_read_binary(&sk, ecp_test_cases[i].sk, ecp_test_cases[i].sk_len)) != 0) |
| { |
| if (verbose) |
| mbedtls_printf("mbedtls_mpi_read_binary (secret key) failed\n"); |
| break; |
| } |
| |
| if ((result = mbedtls_ecp_check_privkey(&ecp_group, &sk)) != 0) |
| { |
| if (verbose) |
| mbedtls_printf("mbedtls_ecp_check_privkey failed\n"); |
| break; |
| } |
| |
| if ((result = mbedtls_ecp_mul(&ecp_group, &pk, &sk, &ecp_group.G, mbedtls_ctr_drbg_random, &ctr_drbg)) != 0) |
| { |
| if (verbose) |
| mbedtls_printf("mbedtls_ecp_mul failed\n"); |
| break; |
| } |
| |
| if ((result = mbedtls_ecp_point_read_binary(&ecp_group, &pk_ref, ecp_test_cases[i].pk, ecp_test_cases[i].pk_len)) != |
| 0) |
| { |
| if (verbose) |
| mbedtls_printf("mbedtls_ecp_point_read_binary (reference public key) failed\n"); |
| break; |
| } |
| |
| if ((result = mbedtls_ecp_point_cmp(&pk, &pk_ref)) != 0) |
| { |
| if (verbose) |
| { |
| mbedtls_printf("mbedtls_ecp_point_cmp (public key) failed\n"); |
| mbedtls_printbuf("sk :", ecp_test_cases[i].sk, ecp_test_cases[i].sk_len); |
| mbedtls_printbuf("pk ref:", ecp_test_cases[i].pk, ecp_test_cases[i].pk_len); |
| unsigned char buf[ecp_test_cases[i].pk_len]; |
| size_t buf_len; |
| if (mbedtls_ecp_point_write_binary(&ecp_group, &pk, MBEDTLS_ECP_PF_UNCOMPRESSED, &buf_len, buf, |
| sizeof(buf)) == 0) |
| mbedtls_printbuf("pk :", buf, buf_len); |
| } |
| break; |
| } |
| |
| if ((result = mbedtls_ecp_check_pubkey(&ecp_group, &pk)) != 0) |
| { |
| if (verbose) |
| mbedtls_printf("mbedtls_ecp_check_pubkey failed\n"); |
| break; |
| } |
| |
| if (mbedtls_ecp_get_type(&ecp_group) != MBEDTLS_ECP_TYPE_SHORT_WEIERSTRASS) |
| continue; |
| |
| if ((result = mbedtls_ecp_muladd(&ecp_group, &sum, &sk, &ecp_group.G, &sk, &pk)) != 0) |
| { |
| if (verbose) |
| mbedtls_printf("mbedtls_ecp_muladd failed\n"); |
| break; |
| } |
| |
| if ((result = |
| mbedtls_ecp_point_read_binary(&ecp_group, &sum_ref, ecp_test_cases[i].sum, ecp_test_cases[i].pk_len)) != 0) |
| { |
| if (verbose) |
| mbedtls_printf("mbedtls_ecp_point_read_binary (reference sum) failed\n"); |
| break; |
| } |
| |
| if ((result = mbedtls_ecp_point_cmp(&sum, &sum_ref)) != 0) |
| { |
| if (verbose) |
| { |
| mbedtls_printf("mbedtls_ecp_point_cmp (sum) failed\n"); |
| mbedtls_printbuf("sk :", ecp_test_cases[i].sk, ecp_test_cases[i].sk_len); |
| mbedtls_printbuf("pk ref :", ecp_test_cases[i].pk, ecp_test_cases[i].pk_len); |
| mbedtls_printbuf("sum ref:", ecp_test_cases[i].pk, ecp_test_cases[i].pk_len); |
| unsigned char buf[ecp_test_cases[i].pk_len]; |
| size_t buf_len; |
| if (mbedtls_ecp_point_write_binary(&ecp_group, &sum, MBEDTLS_ECP_PF_UNCOMPRESSED, &buf_len, buf, |
| sizeof(buf)) == 0) |
| mbedtls_printbuf("sum :", buf, buf_len); |
| } |
| break; |
| } |
| |
| } while (0); |
| |
| mbedtls_ecp_point_free(&sum_ref); |
| mbedtls_ecp_point_free(&sum); |
| mbedtls_ecp_point_free(&pk_ref); |
| mbedtls_ecp_point_free(&pk); |
| mbedtls_mpi_free(&sk); |
| mbedtls_ecp_group_free(&ecp_group); |
| } |
| } |
| else /* mbedtls_ctr_drbg_seed failed */ |
| { |
| if (verbose) |
| mbedtls_printf("random failed\n"); |
| } |
| |
| mbedtls_ctr_drbg_free(&ctr_drbg); |
| mbedtls_entropy_free(&entropy); |
| |
| if (verbose) |
| { |
| if (result == 0) |
| mbedtls_printf("test successfully finished\n"); |
| else |
| { |
| char buf[512]; |
| mbedtls_strerror(result, buf, sizeof(buf)); |
| mbedtls_printf("test failed: %s\n", buf); |
| } |
| } |
| return result; |
| } |
| |
| #pragma GCC diagnostic pop |
| |
| #endif /* MBEDTLS_SELF_TEST */ |
| |
| #endif /* MBEDTLS_ECP_ALT */ |
| |
| #endif /* MBEDTLS_ECP_C */ |
