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										 |  |  | /*
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											2023-09-07 16:59:15 +08:00
										 |  |  |  * Copyright 2017-2023 The OpenSSL Project Authors. All Rights Reserved. | 
					
						
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											2017-12-02 02:12:25 +08:00
										 |  |  |  * | 
					
						
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											2018-12-06 20:05:25 +08:00
										 |  |  |  * Licensed under the Apache License 2.0 (the "License").  You may not use | 
					
						
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										 |  |  |  * 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
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							|  |  |  |  */ | 
					
						
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										 |  |  | #include <stdio.h>
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							|  |  |  | #include <string.h>
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							|  |  |  | #include <openssl/e_os2.h>
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										 |  |  | #include <openssl/evp.h>
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										 |  |  | #include "crypto/ecx.h"
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										 |  |  | #include "curve448_local.h"
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										 |  |  | #include "testutil.h"
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							|  |  |  | static unsigned int max = 1000; | 
					
						
							|  |  |  | static unsigned int verbose = 0; | 
					
						
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										 |  |  | /* Test vectors from RFC7748 for X448 */ | 
					
						
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										 |  |  | static const uint8_t in_scalar1[56] = { | 
					
						
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										 |  |  |     0x3d, 0x26, 0x2f, 0xdd, 0xf9, 0xec, 0x8e, 0x88, 0x49, 0x52, 0x66, 0xfe, | 
					
						
							|  |  |  |     0xa1, 0x9a, 0x34, 0xd2, 0x88, 0x82, 0xac, 0xef, 0x04, 0x51, 0x04, 0xd0, | 
					
						
							|  |  |  |     0xd1, 0xaa, 0xe1, 0x21, 0x70, 0x0a, 0x77, 0x9c, 0x98, 0x4c, 0x24, 0xf8, | 
					
						
							|  |  |  |     0xcd, 0xd7, 0x8f, 0xbf, 0xf4, 0x49, 0x43, 0xeb, 0xa3, 0x68, 0xf5, 0x4b, | 
					
						
							|  |  |  |     0x29, 0x25, 0x9a, 0x4f, 0x1c, 0x60, 0x0a, 0xd3 | 
					
						
							|  |  |  | }; | 
					
						
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										 |  |  | static const uint8_t in_u1[56] = { | 
					
						
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										 |  |  |     0x06, 0xfc, 0xe6, 0x40, 0xfa, 0x34, 0x87, 0xbf, 0xda, 0x5f, 0x6c, 0xf2, | 
					
						
							|  |  |  |     0xd5, 0x26, 0x3f, 0x8a, 0xad, 0x88, 0x33, 0x4c, 0xbd, 0x07, 0x43, 0x7f, | 
					
						
							|  |  |  |     0x02, 0x0f, 0x08, 0xf9, 0x81, 0x4d, 0xc0, 0x31, 0xdd, 0xbd, 0xc3, 0x8c, | 
					
						
							|  |  |  |     0x19, 0xc6, 0xda, 0x25, 0x83, 0xfa, 0x54, 0x29, 0xdb, 0x94, 0xad, 0xa1, | 
					
						
							|  |  |  |     0x8a, 0xa7, 0xa7, 0xfb, 0x4e, 0xf8, 0xa0, 0x86 | 
					
						
							|  |  |  | }; | 
					
						
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										 |  |  | static const uint8_t out_u1[56] = { | 
					
						
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										 |  |  |     0xce, 0x3e, 0x4f, 0xf9, 0x5a, 0x60, 0xdc, 0x66, 0x97, 0xda, 0x1d, 0xb1, | 
					
						
							|  |  |  |     0xd8, 0x5e, 0x6a, 0xfb, 0xdf, 0x79, 0xb5, 0x0a, 0x24, 0x12, 0xd7, 0x54, | 
					
						
							|  |  |  |     0x6d, 0x5f, 0x23, 0x9f, 0xe1, 0x4f, 0xba, 0xad, 0xeb, 0x44, 0x5f, 0xc6, | 
					
						
							|  |  |  |     0x6a, 0x01, 0xb0, 0x77, 0x9d, 0x98, 0x22, 0x39, 0x61, 0x11, 0x1e, 0x21, | 
					
						
							|  |  |  |     0x76, 0x62, 0x82, 0xf7, 0x3d, 0xd9, 0x6b, 0x6f | 
					
						
							|  |  |  | }; | 
					
						
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										 |  |  | static const uint8_t in_scalar2[56] = { | 
					
						
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										 |  |  |     0x20, 0x3d, 0x49, 0x44, 0x28, 0xb8, 0x39, 0x93, 0x52, 0x66, 0x5d, 0xdc, | 
					
						
							|  |  |  |     0xa4, 0x2f, 0x9d, 0xe8, 0xfe, 0xf6, 0x00, 0x90, 0x8e, 0x0d, 0x46, 0x1c, | 
					
						
							|  |  |  |     0xb0, 0x21, 0xf8, 0xc5, 0x38, 0x34, 0x5d, 0xd7, 0x7c, 0x3e, 0x48, 0x06, | 
					
						
							|  |  |  |     0xe2, 0x5f, 0x46, 0xd3, 0x31, 0x5c, 0x44, 0xe0, 0xa5, 0xb4, 0x37, 0x12, | 
					
						
							|  |  |  |     0x82, 0xdd, 0x2c, 0x8d, 0x5b, 0xe3, 0x09, 0x5f | 
					
						
							|  |  |  | }; | 
					
						
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										 |  |  | static const uint8_t in_u2[56] = { | 
					
						
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										 |  |  |     0x0f, 0xbc, 0xc2, 0xf9, 0x93, 0xcd, 0x56, 0xd3, 0x30, 0x5b, 0x0b, 0x7d, | 
					
						
							|  |  |  |     0x9e, 0x55, 0xd4, 0xc1, 0xa8, 0xfb, 0x5d, 0xbb, 0x52, 0xf8, 0xe9, 0xa1, | 
					
						
							|  |  |  |     0xe9, 0xb6, 0x20, 0x1b, 0x16, 0x5d, 0x01, 0x58, 0x94, 0xe5, 0x6c, 0x4d, | 
					
						
							|  |  |  |     0x35, 0x70, 0xbe, 0xe5, 0x2f, 0xe2, 0x05, 0xe2, 0x8a, 0x78, 0xb9, 0x1c, | 
					
						
							|  |  |  |     0xdf, 0xbd, 0xe7, 0x1c, 0xe8, 0xd1, 0x57, 0xdb | 
					
						
							|  |  |  | }; | 
					
						
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										 |  |  | static const uint8_t out_u2[56] = { | 
					
						
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										 |  |  |     0x88, 0x4a, 0x02, 0x57, 0x62, 0x39, 0xff, 0x7a, 0x2f, 0x2f, 0x63, 0xb2, | 
					
						
							|  |  |  |     0xdb, 0x6a, 0x9f, 0xf3, 0x70, 0x47, 0xac, 0x13, 0x56, 0x8e, 0x1e, 0x30, | 
					
						
							|  |  |  |     0xfe, 0x63, 0xc4, 0xa7, 0xad, 0x1b, 0x3e, 0xe3, 0xa5, 0x70, 0x0d, 0xf3, | 
					
						
							|  |  |  |     0x43, 0x21, 0xd6, 0x20, 0x77, 0xe6, 0x36, 0x33, 0xc5, 0x75, 0xc1, 0xc9, | 
					
						
							|  |  |  |     0x54, 0x51, 0x4e, 0x99, 0xda, 0x7c, 0x17, 0x9d | 
					
						
							|  |  |  | }; | 
					
						
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										 |  |  | static const uint8_t in_u3[56] = { | 
					
						
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										 |  |  |     0x05, 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 | 
					
						
							|  |  |  | }; | 
					
						
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										 |  |  | static const uint8_t out_u3[3][56] = { | 
					
						
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										 |  |  |     { | 
					
						
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										 |  |  |         0x3f, 0x48, 0x2c, 0x8a, 0x9f, 0x19, 0xb0, 0x1e, 0x6c, 0x46, 0xee, 0x97, | 
					
						
							|  |  |  |         0x11, 0xd9, 0xdc, 0x14, 0xfd, 0x4b, 0xf6, 0x7a, 0xf3, 0x07, 0x65, 0xc2, | 
					
						
							|  |  |  |         0xae, 0x2b, 0x84, 0x6a, 0x4d, 0x23, 0xa8, 0xcd, 0x0d, 0xb8, 0x97, 0x08, | 
					
						
							|  |  |  |         0x62, 0x39, 0x49, 0x2c, 0xaf, 0x35, 0x0b, 0x51, 0xf8, 0x33, 0x86, 0x8b, | 
					
						
							|  |  |  |         0x9b, 0xc2, 0xb3, 0xbc, 0xa9, 0xcf, 0x41, 0x13 | 
					
						
							|  |  |  |     }, { | 
					
						
							|  |  |  |         0xaa, 0x3b, 0x47, 0x49, 0xd5, 0x5b, 0x9d, 0xaf, 0x1e, 0x5b, 0x00, 0x28, | 
					
						
							|  |  |  |         0x88, 0x26, 0xc4, 0x67, 0x27, 0x4c, 0xe3, 0xeb, 0xbd, 0xd5, 0xc1, 0x7b, | 
					
						
							|  |  |  |         0x97, 0x5e, 0x09, 0xd4, 0xaf, 0x6c, 0x67, 0xcf, 0x10, 0xd0, 0x87, 0x20, | 
					
						
							|  |  |  |         0x2d, 0xb8, 0x82, 0x86, 0xe2, 0xb7, 0x9f, 0xce, 0xea, 0x3e, 0xc3, 0x53, | 
					
						
							|  |  |  |         0xef, 0x54, 0xfa, 0xa2, 0x6e, 0x21, 0x9f, 0x38 | 
					
						
							|  |  |  |     }, { | 
					
						
							|  |  |  |         0x07, 0x7f, 0x45, 0x36, 0x81, 0xca, 0xca, 0x36, 0x93, 0x19, 0x84, 0x20, | 
					
						
							|  |  |  |         0xbb, 0xe5, 0x15, 0xca, 0xe0, 0x00, 0x24, 0x72, 0x51, 0x9b, 0x3e, 0x67, | 
					
						
							|  |  |  |         0x66, 0x1a, 0x7e, 0x89, 0xca, 0xb9, 0x46, 0x95, 0xc8, 0xf4, 0xbc, 0xd6, | 
					
						
							|  |  |  |         0x6e, 0x61, 0xb9, 0xb9, 0xc9, 0x46, 0xda, 0x8d, 0x52, 0x4d, 0xe3, 0xd6, | 
					
						
							|  |  |  |         0x9b, 0xd9, 0xd9, 0xd6, 0x6b, 0x99, 0x7e, 0x37 | 
					
						
							|  |  |  |     } | 
					
						
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										 |  |  | }; | 
					
						
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										 |  |  | /* Test vectors from RFC8032 for Ed448 */ | 
					
						
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										 |  |  | /* Pure Ed448 */ | 
					
						
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										 |  |  | static const uint8_t privkey1[57] = { | 
					
						
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										 |  |  |     0x6c, 0x82, 0xa5, 0x62, 0xcb, 0x80, 0x8d, 0x10, 0xd6, 0x32, 0xbe, 0x89, | 
					
						
							|  |  |  |     0xc8, 0x51, 0x3e, 0xbf, 0x6c, 0x92, 0x9f, 0x34, 0xdd, 0xfa, 0x8c, 0x9f, | 
					
						
							|  |  |  |     0x63, 0xc9, 0x96, 0x0e, 0xf6, 0xe3, 0x48, 0xa3, 0x52, 0x8c, 0x8a, 0x3f, | 
					
						
							|  |  |  |     0xcc, 0x2f, 0x04, 0x4e, 0x39, 0xa3, 0xfc, 0x5b, 0x94, 0x49, 0x2f, 0x8f, | 
					
						
							|  |  |  |     0x03, 0x2e, 0x75, 0x49, 0xa2, 0x00, 0x98, 0xf9, 0x5b | 
					
						
							|  |  |  | }; | 
					
						
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										 |  |  | static const uint8_t pubkey1[57] = { | 
					
						
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										 |  |  |     0x5f, 0xd7, 0x44, 0x9b, 0x59, 0xb4, 0x61, 0xfd, 0x2c, 0xe7, 0x87, 0xec, | 
					
						
							|  |  |  |     0x61, 0x6a, 0xd4, 0x6a, 0x1d, 0xa1, 0x34, 0x24, 0x85, 0xa7, 0x0e, 0x1f, | 
					
						
							|  |  |  |     0x8a, 0x0e, 0xa7, 0x5d, 0x80, 0xe9, 0x67, 0x78, 0xed, 0xf1, 0x24, 0x76, | 
					
						
							|  |  |  |     0x9b, 0x46, 0xc7, 0x06, 0x1b, 0xd6, 0x78, 0x3d, 0xf1, 0xe5, 0x0f, 0x6c, | 
					
						
							|  |  |  |     0xd1, 0xfa, 0x1a, 0xbe, 0xaf, 0xe8, 0x25, 0x61, 0x80 | 
					
						
							|  |  |  | }; | 
					
						
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										 |  |  | static const uint8_t sig1[114] = { | 
					
						
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										 |  |  |     0x53, 0x3a, 0x37, 0xf6, 0xbb, 0xe4, 0x57, 0x25, 0x1f, 0x02, 0x3c, 0x0d, | 
					
						
							|  |  |  |     0x88, 0xf9, 0x76, 0xae, 0x2d, 0xfb, 0x50, 0x4a, 0x84, 0x3e, 0x34, 0xd2, | 
					
						
							|  |  |  |     0x07, 0x4f, 0xd8, 0x23, 0xd4, 0x1a, 0x59, 0x1f, 0x2b, 0x23, 0x3f, 0x03, | 
					
						
							|  |  |  |     0x4f, 0x62, 0x82, 0x81, 0xf2, 0xfd, 0x7a, 0x22, 0xdd, 0xd4, 0x7d, 0x78, | 
					
						
							|  |  |  |     0x28, 0xc5, 0x9b, 0xd0, 0xa2, 0x1b, 0xfd, 0x39, 0x80, 0xff, 0x0d, 0x20, | 
					
						
							|  |  |  |     0x28, 0xd4, 0xb1, 0x8a, 0x9d, 0xf6, 0x3e, 0x00, 0x6c, 0x5d, 0x1c, 0x2d, | 
					
						
							|  |  |  |     0x34, 0x5b, 0x92, 0x5d, 0x8d, 0xc0, 0x0b, 0x41, 0x04, 0x85, 0x2d, 0xb9, | 
					
						
							|  |  |  |     0x9a, 0xc5, 0xc7, 0xcd, 0xda, 0x85, 0x30, 0xa1, 0x13, 0xa0, 0xf4, 0xdb, | 
					
						
							|  |  |  |     0xb6, 0x11, 0x49, 0xf0, 0x5a, 0x73, 0x63, 0x26, 0x8c, 0x71, 0xd9, 0x58, | 
					
						
							|  |  |  |     0x08, 0xff, 0x2e, 0x65, 0x26, 0x00 | 
					
						
							|  |  |  | }; | 
					
						
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										 |  |  | static const uint8_t privkey2[57] = { | 
					
						
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										 |  |  |     0xc4, 0xea, 0xb0, 0x5d, 0x35, 0x70, 0x07, 0xc6, 0x32, 0xf3, 0xdb, 0xb4, | 
					
						
							|  |  |  |     0x84, 0x89, 0x92, 0x4d, 0x55, 0x2b, 0x08, 0xfe, 0x0c, 0x35, 0x3a, 0x0d, | 
					
						
							|  |  |  |     0x4a, 0x1f, 0x00, 0xac, 0xda, 0x2c, 0x46, 0x3a, 0xfb, 0xea, 0x67, 0xc5, | 
					
						
							|  |  |  |     0xe8, 0xd2, 0x87, 0x7c, 0x5e, 0x3b, 0xc3, 0x97, 0xa6, 0x59, 0x94, 0x9e, | 
					
						
							|  |  |  |     0xf8, 0x02, 0x1e, 0x95, 0x4e, 0x0a, 0x12, 0x27, 0x4e | 
					
						
							|  |  |  | }; | 
					
						
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										 |  |  | static const uint8_t pubkey2[57] = { | 
					
						
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										 |  |  |     0x43, 0xba, 0x28, 0xf4, 0x30, 0xcd, 0xff, 0x45, 0x6a, 0xe5, 0x31, 0x54, | 
					
						
							|  |  |  |     0x5f, 0x7e, 0xcd, 0x0a, 0xc8, 0x34, 0xa5, 0x5d, 0x93, 0x58, 0xc0, 0x37, | 
					
						
							|  |  |  |     0x2b, 0xfa, 0x0c, 0x6c, 0x67, 0x98, 0xc0, 0x86, 0x6a, 0xea, 0x01, 0xeb, | 
					
						
							|  |  |  |     0x00, 0x74, 0x28, 0x02, 0xb8, 0x43, 0x8e, 0xa4, 0xcb, 0x82, 0x16, 0x9c, | 
					
						
							|  |  |  |     0x23, 0x51, 0x60, 0x62, 0x7b, 0x4c, 0x3a, 0x94, 0x80 | 
					
						
							|  |  |  | }; | 
					
						
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										 |  |  | static const uint8_t msg2[1] = { | 
					
						
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										 |  |  |     0x03 | 
					
						
							|  |  |  | }; | 
					
						
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										 |  |  | static const uint8_t sig2[114] = { | 
					
						
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										 |  |  |     0x26, 0xb8, 0xf9, 0x17, 0x27, 0xbd, 0x62, 0x89, 0x7a, 0xf1, 0x5e, 0x41, | 
					
						
							|  |  |  |     0xeb, 0x43, 0xc3, 0x77, 0xef, 0xb9, 0xc6, 0x10, 0xd4, 0x8f, 0x23, 0x35, | 
					
						
							|  |  |  |     0xcb, 0x0b, 0xd0, 0x08, 0x78, 0x10, 0xf4, 0x35, 0x25, 0x41, 0xb1, 0x43, | 
					
						
							|  |  |  |     0xc4, 0xb9, 0x81, 0xb7, 0xe1, 0x8f, 0x62, 0xde, 0x8c, 0xcd, 0xf6, 0x33, | 
					
						
							|  |  |  |     0xfc, 0x1b, 0xf0, 0x37, 0xab, 0x7c, 0xd7, 0x79, 0x80, 0x5e, 0x0d, 0xbc, | 
					
						
							|  |  |  |     0xc0, 0xaa, 0xe1, 0xcb, 0xce, 0xe1, 0xaf, 0xb2, 0xe0, 0x27, 0xdf, 0x36, | 
					
						
							|  |  |  |     0xbc, 0x04, 0xdc, 0xec, 0xbf, 0x15, 0x43, 0x36, 0xc1, 0x9f, 0x0a, 0xf7, | 
					
						
							|  |  |  |     0xe0, 0xa6, 0x47, 0x29, 0x05, 0xe7, 0x99, 0xf1, 0x95, 0x3d, 0x2a, 0x0f, | 
					
						
							|  |  |  |     0xf3, 0x34, 0x8a, 0xb2, 0x1a, 0xa4, 0xad, 0xaf, 0xd1, 0xd2, 0x34, 0x44, | 
					
						
							|  |  |  |     0x1c, 0xf8, 0x07, 0xc0, 0x3a, 0x00 | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 17:57:12 +08:00
										 |  |  | static const uint8_t privkey3[57] = { | 
					
						
							| 
									
										
										
										
											2017-11-27 19:32:03 +08:00
										 |  |  |     0xc4, 0xea, 0xb0, 0x5d, 0x35, 0x70, 0x07, 0xc6, 0x32, 0xf3, 0xdb, 0xb4, | 
					
						
							|  |  |  |     0x84, 0x89, 0x92, 0x4d, 0x55, 0x2b, 0x08, 0xfe, 0x0c, 0x35, 0x3a, 0x0d, | 
					
						
							|  |  |  |     0x4a, 0x1f, 0x00, 0xac, 0xda, 0x2c, 0x46, 0x3a, 0xfb, 0xea, 0x67, 0xc5, | 
					
						
							|  |  |  |     0xe8, 0xd2, 0x87, 0x7c, 0x5e, 0x3b, 0xc3, 0x97, 0xa6, 0x59, 0x94, 0x9e, | 
					
						
							|  |  |  |     0xf8, 0x02, 0x1e, 0x95, 0x4e, 0x0a, 0x12, 0x27, 0x4e | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 17:57:12 +08:00
										 |  |  | static const uint8_t pubkey3[57] = { | 
					
						
							| 
									
										
										
										
											2017-11-27 19:32:03 +08:00
										 |  |  |     0x43, 0xba, 0x28, 0xf4, 0x30, 0xcd, 0xff, 0x45, 0x6a, 0xe5, 0x31, 0x54, | 
					
						
							|  |  |  |     0x5f, 0x7e, 0xcd, 0x0a, 0xc8, 0x34, 0xa5, 0x5d, 0x93, 0x58, 0xc0, 0x37, | 
					
						
							|  |  |  |     0x2b, 0xfa, 0x0c, 0x6c, 0x67, 0x98, 0xc0, 0x86, 0x6a, 0xea, 0x01, 0xeb, | 
					
						
							|  |  |  |     0x00, 0x74, 0x28, 0x02, 0xb8, 0x43, 0x8e, 0xa4, 0xcb, 0x82, 0x16, 0x9c, | 
					
						
							|  |  |  |     0x23, 0x51, 0x60, 0x62, 0x7b, 0x4c, 0x3a, 0x94, 0x80 | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 17:57:12 +08:00
										 |  |  | static const uint8_t msg3[1] = { | 
					
						
							| 
									
										
										
										
											2017-11-27 19:32:03 +08:00
										 |  |  |     0x03 | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 17:57:12 +08:00
										 |  |  | static const uint8_t context3[3] = { | 
					
						
							| 
									
										
										
										
											2017-11-27 19:32:03 +08:00
										 |  |  |     0x66, 0x6f, 0x6f | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 17:57:12 +08:00
										 |  |  | static const uint8_t sig3[114] = { | 
					
						
							| 
									
										
										
										
											2017-11-27 19:32:03 +08:00
										 |  |  |     0xd4, 0xf8, 0xf6, 0x13, 0x17, 0x70, 0xdd, 0x46, 0xf4, 0x08, 0x67, 0xd6, | 
					
						
							|  |  |  |     0xfd, 0x5d, 0x50, 0x55, 0xde, 0x43, 0x54, 0x1f, 0x8c, 0x5e, 0x35, 0xab, | 
					
						
							|  |  |  |     0xbc, 0xd0, 0x01, 0xb3, 0x2a, 0x89, 0xf7, 0xd2, 0x15, 0x1f, 0x76, 0x47, | 
					
						
							|  |  |  |     0xf1, 0x1d, 0x8c, 0xa2, 0xae, 0x27, 0x9f, 0xb8, 0x42, 0xd6, 0x07, 0x21, | 
					
						
							|  |  |  |     0x7f, 0xce, 0x6e, 0x04, 0x2f, 0x68, 0x15, 0xea, 0x00, 0x0c, 0x85, 0x74, | 
					
						
							|  |  |  |     0x1d, 0xe5, 0xc8, 0xda, 0x11, 0x44, 0xa6, 0xa1, 0xab, 0xa7, 0xf9, 0x6d, | 
					
						
							|  |  |  |     0xe4, 0x25, 0x05, 0xd7, 0xa7, 0x29, 0x85, 0x24, 0xfd, 0xa5, 0x38, 0xfc, | 
					
						
							|  |  |  |     0xcb, 0xbb, 0x75, 0x4f, 0x57, 0x8c, 0x1c, 0xad, 0x10, 0xd5, 0x4d, 0x0d, | 
					
						
							|  |  |  |     0x54, 0x28, 0x40, 0x7e, 0x85, 0xdc, 0xbc, 0x98, 0xa4, 0x91, 0x55, 0xc1, | 
					
						
							|  |  |  |     0x37, 0x64, 0xe6, 0x6c, 0x3c, 0x00 | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 17:57:12 +08:00
										 |  |  | static const uint8_t privkey4[57] = { | 
					
						
							| 
									
										
										
										
											2017-11-27 19:32:03 +08:00
										 |  |  |     0xcd, 0x23, 0xd2, 0x4f, 0x71, 0x42, 0x74, 0xe7, 0x44, 0x34, 0x32, 0x37, | 
					
						
							|  |  |  |     0xb9, 0x32, 0x90, 0xf5, 0x11, 0xf6, 0x42, 0x5f, 0x98, 0xe6, 0x44, 0x59, | 
					
						
							|  |  |  |     0xff, 0x20, 0x3e, 0x89, 0x85, 0x08, 0x3f, 0xfd, 0xf6, 0x05, 0x00, 0x55, | 
					
						
							|  |  |  |     0x3a, 0xbc, 0x0e, 0x05, 0xcd, 0x02, 0x18, 0x4b, 0xdb, 0x89, 0xc4, 0xcc, | 
					
						
							|  |  |  |     0xd6, 0x7e, 0x18, 0x79, 0x51, 0x26, 0x7e, 0xb3, 0x28 | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 17:57:12 +08:00
										 |  |  | static const uint8_t pubkey4[57] = { | 
					
						
							| 
									
										
										
										
											2017-11-27 19:32:03 +08:00
										 |  |  |     0xdc, 0xea, 0x9e, 0x78, 0xf3, 0x5a, 0x1b, 0xf3, 0x49, 0x9a, 0x83, 0x1b, | 
					
						
							|  |  |  |     0x10, 0xb8, 0x6c, 0x90, 0xaa, 0xc0, 0x1c, 0xd8, 0x4b, 0x67, 0xa0, 0x10, | 
					
						
							|  |  |  |     0x9b, 0x55, 0xa3, 0x6e, 0x93, 0x28, 0xb1, 0xe3, 0x65, 0xfc, 0xe1, 0x61, | 
					
						
							|  |  |  |     0xd7, 0x1c, 0xe7, 0x13, 0x1a, 0x54, 0x3e, 0xa4, 0xcb, 0x5f, 0x7e, 0x9f, | 
					
						
							|  |  |  |     0x1d, 0x8b, 0x00, 0x69, 0x64, 0x47, 0x00, 0x14, 0x00 | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 17:57:12 +08:00
										 |  |  | static const uint8_t msg4[11] = { | 
					
						
							| 
									
										
										
										
											2017-11-27 19:32:03 +08:00
										 |  |  |     0x0c, 0x3e, 0x54, 0x40, 0x74, 0xec, 0x63, 0xb0, 0x26, 0x5e, 0x0c | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 17:57:12 +08:00
										 |  |  | static const uint8_t sig4[114] = { | 
					
						
							| 
									
										
										
										
											2017-11-27 19:32:03 +08:00
										 |  |  |     0x1f, 0x0a, 0x88, 0x88, 0xce, 0x25, 0xe8, 0xd4, 0x58, 0xa2, 0x11, 0x30, | 
					
						
							|  |  |  |     0x87, 0x9b, 0x84, 0x0a, 0x90, 0x89, 0xd9, 0x99, 0xaa, 0xba, 0x03, 0x9e, | 
					
						
							|  |  |  |     0xaf, 0x3e, 0x3a, 0xfa, 0x09, 0x0a, 0x09, 0xd3, 0x89, 0xdb, 0xa8, 0x2c, | 
					
						
							|  |  |  |     0x4f, 0xf2, 0xae, 0x8a, 0xc5, 0xcd, 0xfb, 0x7c, 0x55, 0xe9, 0x4d, 0x5d, | 
					
						
							|  |  |  |     0x96, 0x1a, 0x29, 0xfe, 0x01, 0x09, 0x94, 0x1e, 0x00, 0xb8, 0xdb, 0xde, | 
					
						
							|  |  |  |     0xea, 0x6d, 0x3b, 0x05, 0x10, 0x68, 0xdf, 0x72, 0x54, 0xc0, 0xcd, 0xc1, | 
					
						
							|  |  |  |     0x29, 0xcb, 0xe6, 0x2d, 0xb2, 0xdc, 0x95, 0x7d, 0xbb, 0x47, 0xb5, 0x1f, | 
					
						
							|  |  |  |     0xd3, 0xf2, 0x13, 0xfb, 0x86, 0x98, 0xf0, 0x64, 0x77, 0x42, 0x50, 0xa5, | 
					
						
							|  |  |  |     0x02, 0x89, 0x61, 0xc9, 0xbf, 0x8f, 0xfd, 0x97, 0x3f, 0xe5, 0xd5, 0xc2, | 
					
						
							|  |  |  |     0x06, 0x49, 0x2b, 0x14, 0x0e, 0x00 | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 17:57:12 +08:00
										 |  |  | static const uint8_t privkey5[57] = { | 
					
						
							| 
									
										
										
										
											2017-11-27 19:32:03 +08:00
										 |  |  |     0x25, 0x8c, 0xdd, 0x4a, 0xda, 0x32, 0xed, 0x9c, 0x9f, 0xf5, 0x4e, 0x63, | 
					
						
							|  |  |  |     0x75, 0x6a, 0xe5, 0x82, 0xfb, 0x8f, 0xab, 0x2a, 0xc7, 0x21, 0xf2, 0xc8, | 
					
						
							|  |  |  |     0xe6, 0x76, 0xa7, 0x27, 0x68, 0x51, 0x3d, 0x93, 0x9f, 0x63, 0xdd, 0xdb, | 
					
						
							|  |  |  |     0x55, 0x60, 0x91, 0x33, 0xf2, 0x9a, 0xdf, 0x86, 0xec, 0x99, 0x29, 0xdc, | 
					
						
							|  |  |  |     0xcb, 0x52, 0xc1, 0xc5, 0xfd, 0x2f, 0xf7, 0xe2, 0x1b | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 17:57:12 +08:00
										 |  |  | static const uint8_t pubkey5[57] = { | 
					
						
							| 
									
										
										
										
											2017-11-27 19:32:03 +08:00
										 |  |  |     0x3b, 0xa1, 0x6d, 0xa0, 0xc6, 0xf2, 0xcc, 0x1f, 0x30, 0x18, 0x77, 0x40, | 
					
						
							|  |  |  |     0x75, 0x6f, 0x5e, 0x79, 0x8d, 0x6b, 0xc5, 0xfc, 0x01, 0x5d, 0x7c, 0x63, | 
					
						
							|  |  |  |     0xcc, 0x95, 0x10, 0xee, 0x3f, 0xd4, 0x4a, 0xdc, 0x24, 0xd8, 0xe9, 0x68, | 
					
						
							|  |  |  |     0xb6, 0xe4, 0x6e, 0x6f, 0x94, 0xd1, 0x9b, 0x94, 0x53, 0x61, 0x72, 0x6b, | 
					
						
							|  |  |  |     0xd7, 0x5e, 0x14, 0x9e, 0xf0, 0x98, 0x17, 0xf5, 0x80 | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 17:57:12 +08:00
										 |  |  | static const uint8_t msg5[12] = { | 
					
						
							| 
									
										
										
										
											2017-11-27 19:32:03 +08:00
										 |  |  |     0x64, 0xa6, 0x5f, 0x3c, 0xde, 0xdc, 0xdd, 0x66, 0x81, 0x1e, 0x29, 0x15 | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 17:57:12 +08:00
										 |  |  | static const uint8_t sig5[114] = { | 
					
						
							| 
									
										
										
										
											2017-11-27 19:32:03 +08:00
										 |  |  |     0x7e, 0xee, 0xab, 0x7c, 0x4e, 0x50, 0xfb, 0x79, 0x9b, 0x41, 0x8e, 0xe5, | 
					
						
							|  |  |  |     0xe3, 0x19, 0x7f, 0xf6, 0xbf, 0x15, 0xd4, 0x3a, 0x14, 0xc3, 0x43, 0x89, | 
					
						
							|  |  |  |     0xb5, 0x9d, 0xd1, 0xa7, 0xb1, 0xb8, 0x5b, 0x4a, 0xe9, 0x04, 0x38, 0xac, | 
					
						
							|  |  |  |     0xa6, 0x34, 0xbe, 0xa4, 0x5e, 0x3a, 0x26, 0x95, 0xf1, 0x27, 0x0f, 0x07, | 
					
						
							|  |  |  |     0xfd, 0xcd, 0xf7, 0xc6, 0x2b, 0x8e, 0xfe, 0xaf, 0x00, 0xb4, 0x5c, 0x2c, | 
					
						
							|  |  |  |     0x96, 0xba, 0x45, 0x7e, 0xb1, 0xa8, 0xbf, 0x07, 0x5a, 0x3d, 0xb2, 0x8e, | 
					
						
							|  |  |  |     0x5c, 0x24, 0xf6, 0xb9, 0x23, 0xed, 0x4a, 0xd7, 0x47, 0xc3, 0xc9, 0xe0, | 
					
						
							|  |  |  |     0x3c, 0x70, 0x79, 0xef, 0xb8, 0x7c, 0xb1, 0x10, 0xd3, 0xa9, 0x98, 0x61, | 
					
						
							|  |  |  |     0xe7, 0x20, 0x03, 0xcb, 0xae, 0x6d, 0x6b, 0x8b, 0x82, 0x7e, 0x4e, 0x6c, | 
					
						
							|  |  |  |     0x14, 0x30, 0x64, 0xff, 0x3c, 0x00 | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 17:57:12 +08:00
										 |  |  | static const uint8_t privkey6[57] = { | 
					
						
							| 
									
										
										
										
											2017-11-27 19:32:03 +08:00
										 |  |  |     0x7e, 0xf4, 0xe8, 0x45, 0x44, 0x23, 0x67, 0x52, 0xfb, 0xb5, 0x6b, 0x8f, | 
					
						
							|  |  |  |     0x31, 0xa2, 0x3a, 0x10, 0xe4, 0x28, 0x14, 0xf5, 0xf5, 0x5c, 0xa0, 0x37, | 
					
						
							|  |  |  |     0xcd, 0xcc, 0x11, 0xc6, 0x4c, 0x9a, 0x3b, 0x29, 0x49, 0xc1, 0xbb, 0x60, | 
					
						
							|  |  |  |     0x70, 0x03, 0x14, 0x61, 0x17, 0x32, 0xa6, 0xc2, 0xfe, 0xa9, 0x8e, 0xeb, | 
					
						
							|  |  |  |     0xc0, 0x26, 0x6a, 0x11, 0xa9, 0x39, 0x70, 0x10, 0x0e | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 17:57:12 +08:00
										 |  |  | static const uint8_t pubkey6[57] = { | 
					
						
							| 
									
										
										
										
											2017-11-27 19:32:03 +08:00
										 |  |  |     0xb3, 0xda, 0x07, 0x9b, 0x0a, 0xa4, 0x93, 0xa5, 0x77, 0x20, 0x29, 0xf0, | 
					
						
							|  |  |  |     0x46, 0x7b, 0xae, 0xbe, 0xe5, 0xa8, 0x11, 0x2d, 0x9d, 0x3a, 0x22, 0x53, | 
					
						
							|  |  |  |     0x23, 0x61, 0xda, 0x29, 0x4f, 0x7b, 0xb3, 0x81, 0x5c, 0x5d, 0xc5, 0x9e, | 
					
						
							|  |  |  |     0x17, 0x6b, 0x4d, 0x9f, 0x38, 0x1c, 0xa0, 0x93, 0x8e, 0x13, 0xc6, 0xc0, | 
					
						
							|  |  |  |     0x7b, 0x17, 0x4b, 0xe6, 0x5d, 0xfa, 0x57, 0x8e, 0x80 | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 17:57:12 +08:00
										 |  |  | static const uint8_t msg6[13] = { | 
					
						
							| 
									
										
										
										
											2017-11-27 19:32:03 +08:00
										 |  |  |     0x64, 0xa6, 0x5f, 0x3c, 0xde, 0xdc, 0xdd, 0x66, 0x81, 0x1e, 0x29, 0x15, | 
					
						
							|  |  |  |     0xe7 | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 17:57:12 +08:00
										 |  |  | static const uint8_t sig6[114] = { | 
					
						
							| 
									
										
										
										
											2017-11-27 19:32:03 +08:00
										 |  |  |     0x6a, 0x12, 0x06, 0x6f, 0x55, 0x33, 0x1b, 0x6c, 0x22, 0xac, 0xd5, 0xd5, | 
					
						
							|  |  |  |     0xbf, 0xc5, 0xd7, 0x12, 0x28, 0xfb, 0xda, 0x80, 0xae, 0x8d, 0xec, 0x26, | 
					
						
							|  |  |  |     0xbd, 0xd3, 0x06, 0x74, 0x3c, 0x50, 0x27, 0xcb, 0x48, 0x90, 0x81, 0x0c, | 
					
						
							|  |  |  |     0x16, 0x2c, 0x02, 0x74, 0x68, 0x67, 0x5e, 0xcf, 0x64, 0x5a, 0x83, 0x17, | 
					
						
							|  |  |  |     0x6c, 0x0d, 0x73, 0x23, 0xa2, 0xcc, 0xde, 0x2d, 0x80, 0xef, 0xe5, 0xa1, | 
					
						
							|  |  |  |     0x26, 0x8e, 0x8a, 0xca, 0x1d, 0x6f, 0xbc, 0x19, 0x4d, 0x3f, 0x77, 0xc4, | 
					
						
							|  |  |  |     0x49, 0x86, 0xeb, 0x4a, 0xb4, 0x17, 0x79, 0x19, 0xad, 0x8b, 0xec, 0x33, | 
					
						
							|  |  |  |     0xeb, 0x47, 0xbb, 0xb5, 0xfc, 0x6e, 0x28, 0x19, 0x6f, 0xd1, 0xca, 0xf5, | 
					
						
							|  |  |  |     0x6b, 0x4e, 0x7e, 0x0b, 0xa5, 0x51, 0x92, 0x34, 0xd0, 0x47, 0x15, 0x5a, | 
					
						
							|  |  |  |     0xc7, 0x27, 0xa1, 0x05, 0x31, 0x00 | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 17:57:12 +08:00
										 |  |  | static const uint8_t privkey7[57] = { | 
					
						
							| 
									
										
										
										
											2017-11-27 19:32:03 +08:00
										 |  |  |     0xd6, 0x5d, 0xf3, 0x41, 0xad, 0x13, 0xe0, 0x08, 0x56, 0x76, 0x88, 0xba, | 
					
						
							|  |  |  |     0xed, 0xda, 0x8e, 0x9d, 0xcd, 0xc1, 0x7d, 0xc0, 0x24, 0x97, 0x4e, 0xa5, | 
					
						
							|  |  |  |     0xb4, 0x22, 0x7b, 0x65, 0x30, 0xe3, 0x39, 0xbf, 0xf2, 0x1f, 0x99, 0xe6, | 
					
						
							|  |  |  |     0x8c, 0xa6, 0x96, 0x8f, 0x3c, 0xca, 0x6d, 0xfe, 0x0f, 0xb9, 0xf4, 0xfa, | 
					
						
							|  |  |  |     0xb4, 0xfa, 0x13, 0x5d, 0x55, 0x42, 0xea, 0x3f, 0x01 | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 17:57:12 +08:00
										 |  |  | static const uint8_t pubkey7[57] = { | 
					
						
							| 
									
										
										
										
											2017-11-27 19:32:03 +08:00
										 |  |  |     0xdf, 0x97, 0x05, 0xf5, 0x8e, 0xdb, 0xab, 0x80, 0x2c, 0x7f, 0x83, 0x63, | 
					
						
							|  |  |  |     0xcf, 0xe5, 0x56, 0x0a, 0xb1, 0xc6, 0x13, 0x2c, 0x20, 0xa9, 0xf1, 0xdd, | 
					
						
							|  |  |  |     0x16, 0x34, 0x83, 0xa2, 0x6f, 0x8a, 0xc5, 0x3a, 0x39, 0xd6, 0x80, 0x8b, | 
					
						
							|  |  |  |     0xf4, 0xa1, 0xdf, 0xbd, 0x26, 0x1b, 0x09, 0x9b, 0xb0, 0x3b, 0x3f, 0xb5, | 
					
						
							|  |  |  |     0x09, 0x06, 0xcb, 0x28, 0xbd, 0x8a, 0x08, 0x1f, 0x00 | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 17:57:12 +08:00
										 |  |  | static const uint8_t msg7[64] = { | 
					
						
							| 
									
										
										
										
											2017-11-27 19:32:03 +08:00
										 |  |  |     0xbd, 0x0f, 0x6a, 0x37, 0x47, 0xcd, 0x56, 0x1b, 0xdd, 0xdf, 0x46, 0x40, | 
					
						
							|  |  |  |     0xa3, 0x32, 0x46, 0x1a, 0x4a, 0x30, 0xa1, 0x2a, 0x43, 0x4c, 0xd0, 0xbf, | 
					
						
							|  |  |  |     0x40, 0xd7, 0x66, 0xd9, 0xc6, 0xd4, 0x58, 0xe5, 0x51, 0x22, 0x04, 0xa3, | 
					
						
							|  |  |  |     0x0c, 0x17, 0xd1, 0xf5, 0x0b, 0x50, 0x79, 0x63, 0x1f, 0x64, 0xeb, 0x31, | 
					
						
							|  |  |  |     0x12, 0x18, 0x2d, 0xa3, 0x00, 0x58, 0x35, 0x46, 0x11, 0x13, 0x71, 0x8d, | 
					
						
							|  |  |  |     0x1a, 0x5e, 0xf9, 0x44 | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 17:57:12 +08:00
										 |  |  | static const uint8_t sig7[114] = { | 
					
						
							| 
									
										
										
										
											2017-11-27 19:32:03 +08:00
										 |  |  |     0x55, 0x4b, 0xc2, 0x48, 0x08, 0x60, 0xb4, 0x9e, 0xab, 0x85, 0x32, 0xd2, | 
					
						
							|  |  |  |     0xa5, 0x33, 0xb7, 0xd5, 0x78, 0xef, 0x47, 0x3e, 0xeb, 0x58, 0xc9, 0x8b, | 
					
						
							|  |  |  |     0xb2, 0xd0, 0xe1, 0xce, 0x48, 0x8a, 0x98, 0xb1, 0x8d, 0xfd, 0xe9, 0xb9, | 
					
						
							|  |  |  |     0xb9, 0x07, 0x75, 0xe6, 0x7f, 0x47, 0xd4, 0xa1, 0xc3, 0x48, 0x20, 0x58, | 
					
						
							|  |  |  |     0xef, 0xc9, 0xf4, 0x0d, 0x2c, 0xa0, 0x33, 0xa0, 0x80, 0x1b, 0x63, 0xd4, | 
					
						
							|  |  |  |     0x5b, 0x3b, 0x72, 0x2e, 0xf5, 0x52, 0xba, 0xd3, 0xb4, 0xcc, 0xb6, 0x67, | 
					
						
							|  |  |  |     0xda, 0x35, 0x01, 0x92, 0xb6, 0x1c, 0x50, 0x8c, 0xf7, 0xb6, 0xb5, 0xad, | 
					
						
							|  |  |  |     0xad, 0xc2, 0xc8, 0xd9, 0xa4, 0x46, 0xef, 0x00, 0x3f, 0xb0, 0x5c, 0xba, | 
					
						
							|  |  |  |     0x5f, 0x30, 0xe8, 0x8e, 0x36, 0xec, 0x27, 0x03, 0xb3, 0x49, 0xca, 0x22, | 
					
						
							|  |  |  |     0x9c, 0x26, 0x70, 0x83, 0x39, 0x00 | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 17:57:12 +08:00
										 |  |  | static const uint8_t privkey8[57] = { | 
					
						
							| 
									
										
										
										
											2017-11-27 19:32:03 +08:00
										 |  |  |     0x2e, 0xc5, 0xfe, 0x3c, 0x17, 0x04, 0x5a, 0xbd, 0xb1, 0x36, 0xa5, 0xe6, | 
					
						
							|  |  |  |     0xa9, 0x13, 0xe3, 0x2a, 0xb7, 0x5a, 0xe6, 0x8b, 0x53, 0xd2, 0xfc, 0x14, | 
					
						
							|  |  |  |     0x9b, 0x77, 0xe5, 0x04, 0x13, 0x2d, 0x37, 0x56, 0x9b, 0x7e, 0x76, 0x6b, | 
					
						
							|  |  |  |     0xa7, 0x4a, 0x19, 0xbd, 0x61, 0x62, 0x34, 0x3a, 0x21, 0xc8, 0x59, 0x0a, | 
					
						
							|  |  |  |     0xa9, 0xce, 0xbc, 0xa9, 0x01, 0x4c, 0x63, 0x6d, 0xf5 | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 17:57:12 +08:00
										 |  |  | static const uint8_t pubkey8[57] = { | 
					
						
							| 
									
										
										
										
											2017-11-27 19:32:03 +08:00
										 |  |  |     0x79, 0x75, 0x6f, 0x01, 0x4d, 0xcf, 0xe2, 0x07, 0x9f, 0x5d, 0xd9, 0xe7, | 
					
						
							|  |  |  |     0x18, 0xbe, 0x41, 0x71, 0xe2, 0xef, 0x24, 0x86, 0xa0, 0x8f, 0x25, 0x18, | 
					
						
							|  |  |  |     0x6f, 0x6b, 0xff, 0x43, 0xa9, 0x93, 0x6b, 0x9b, 0xfe, 0x12, 0x40, 0x2b, | 
					
						
							|  |  |  |     0x08, 0xae, 0x65, 0x79, 0x8a, 0x3d, 0x81, 0xe2, 0x2e, 0x9e, 0xc8, 0x0e, | 
					
						
							|  |  |  |     0x76, 0x90, 0x86, 0x2e, 0xf3, 0xd4, 0xed, 0x3a, 0x00 | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 17:57:12 +08:00
										 |  |  | static const uint8_t msg8[256] = { | 
					
						
							| 
									
										
										
										
											2017-11-27 19:32:03 +08:00
										 |  |  |     0x15, 0x77, 0x75, 0x32, 0xb0, 0xbd, 0xd0, 0xd1, 0x38, 0x9f, 0x63, 0x6c, | 
					
						
							|  |  |  |     0x5f, 0x6b, 0x9b, 0xa7, 0x34, 0xc9, 0x0a, 0xf5, 0x72, 0x87, 0x7e, 0x2d, | 
					
						
							|  |  |  |     0x27, 0x2d, 0xd0, 0x78, 0xaa, 0x1e, 0x56, 0x7c, 0xfa, 0x80, 0xe1, 0x29, | 
					
						
							|  |  |  |     0x28, 0xbb, 0x54, 0x23, 0x30, 0xe8, 0x40, 0x9f, 0x31, 0x74, 0x50, 0x41, | 
					
						
							|  |  |  |     0x07, 0xec, 0xd5, 0xef, 0xac, 0x61, 0xae, 0x75, 0x04, 0xda, 0xbe, 0x2a, | 
					
						
							|  |  |  |     0x60, 0x2e, 0xde, 0x89, 0xe5, 0xcc, 0xa6, 0x25, 0x7a, 0x7c, 0x77, 0xe2, | 
					
						
							|  |  |  |     0x7a, 0x70, 0x2b, 0x3a, 0xe3, 0x9f, 0xc7, 0x69, 0xfc, 0x54, 0xf2, 0x39, | 
					
						
							|  |  |  |     0x5a, 0xe6, 0xa1, 0x17, 0x8c, 0xab, 0x47, 0x38, 0xe5, 0x43, 0x07, 0x2f, | 
					
						
							|  |  |  |     0xc1, 0xc1, 0x77, 0xfe, 0x71, 0xe9, 0x2e, 0x25, 0xbf, 0x03, 0xe4, 0xec, | 
					
						
							|  |  |  |     0xb7, 0x2f, 0x47, 0xb6, 0x4d, 0x04, 0x65, 0xaa, 0xea, 0x4c, 0x7f, 0xad, | 
					
						
							|  |  |  |     0x37, 0x25, 0x36, 0xc8, 0xba, 0x51, 0x6a, 0x60, 0x39, 0xc3, 0xc2, 0xa3, | 
					
						
							|  |  |  |     0x9f, 0x0e, 0x4d, 0x83, 0x2b, 0xe4, 0x32, 0xdf, 0xa9, 0xa7, 0x06, 0xa6, | 
					
						
							|  |  |  |     0xe5, 0xc7, 0xe1, 0x9f, 0x39, 0x79, 0x64, 0xca, 0x42, 0x58, 0x00, 0x2f, | 
					
						
							|  |  |  |     0x7c, 0x05, 0x41, 0xb5, 0x90, 0x31, 0x6d, 0xbc, 0x56, 0x22, 0xb6, 0xb2, | 
					
						
							|  |  |  |     0xa6, 0xfe, 0x7a, 0x4a, 0xbf, 0xfd, 0x96, 0x10, 0x5e, 0xca, 0x76, 0xea, | 
					
						
							|  |  |  |     0x7b, 0x98, 0x81, 0x6a, 0xf0, 0x74, 0x8c, 0x10, 0xdf, 0x04, 0x8c, 0xe0, | 
					
						
							|  |  |  |     0x12, 0xd9, 0x01, 0x01, 0x5a, 0x51, 0xf1, 0x89, 0xf3, 0x88, 0x81, 0x45, | 
					
						
							|  |  |  |     0xc0, 0x36, 0x50, 0xaa, 0x23, 0xce, 0x89, 0x4c, 0x3b, 0xd8, 0x89, 0xe0, | 
					
						
							|  |  |  |     0x30, 0xd5, 0x65, 0x07, 0x1c, 0x59, 0xf4, 0x09, 0xa9, 0x98, 0x1b, 0x51, | 
					
						
							|  |  |  |     0x87, 0x8f, 0xd6, 0xfc, 0x11, 0x06, 0x24, 0xdc, 0xbc, 0xde, 0x0b, 0xf7, | 
					
						
							|  |  |  |     0xa6, 0x9c, 0xcc, 0xe3, 0x8f, 0xab, 0xdf, 0x86, 0xf3, 0xbe, 0xf6, 0x04, | 
					
						
							|  |  |  |     0x48, 0x19, 0xde, 0x11 | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 17:57:12 +08:00
										 |  |  | static const uint8_t sig8[114] = { | 
					
						
							| 
									
										
										
										
											2017-11-27 19:32:03 +08:00
										 |  |  |     0xc6, 0x50, 0xdd, 0xbb, 0x06, 0x01, 0xc1, 0x9c, 0xa1, 0x14, 0x39, 0xe1, | 
					
						
							|  |  |  |     0x64, 0x0d, 0xd9, 0x31, 0xf4, 0x3c, 0x51, 0x8e, 0xa5, 0xbe, 0xa7, 0x0d, | 
					
						
							|  |  |  |     0x3d, 0xcd, 0xe5, 0xf4, 0x19, 0x1f, 0xe5, 0x3f, 0x00, 0xcf, 0x96, 0x65, | 
					
						
							|  |  |  |     0x46, 0xb7, 0x2b, 0xcc, 0x7d, 0x58, 0xbe, 0x2b, 0x9b, 0xad, 0xef, 0x28, | 
					
						
							|  |  |  |     0x74, 0x39, 0x54, 0xe3, 0xa4, 0x4a, 0x23, 0xf8, 0x80, 0xe8, 0xd4, 0xf1, | 
					
						
							|  |  |  |     0xcf, 0xce, 0x2d, 0x7a, 0x61, 0x45, 0x2d, 0x26, 0xda, 0x05, 0x89, 0x6f, | 
					
						
							|  |  |  |     0x0a, 0x50, 0xda, 0x66, 0xa2, 0x39, 0xa8, 0xa1, 0x88, 0xb6, 0xd8, 0x25, | 
					
						
							|  |  |  |     0xb3, 0x30, 0x5a, 0xd7, 0x7b, 0x73, 0xfb, 0xac, 0x08, 0x36, 0xec, 0xc6, | 
					
						
							|  |  |  |     0x09, 0x87, 0xfd, 0x08, 0x52, 0x7c, 0x1a, 0x8e, 0x80, 0xd5, 0x82, 0x3e, | 
					
						
							|  |  |  |     0x65, 0xca, 0xfe, 0x2a, 0x3d, 0x00 | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 17:57:12 +08:00
										 |  |  | static const uint8_t privkey9[57] = { | 
					
						
							| 
									
										
										
										
											2017-11-27 19:32:03 +08:00
										 |  |  |     0x87, 0x2d, 0x09, 0x37, 0x80, 0xf5, 0xd3, 0x73, 0x0d, 0xf7, 0xc2, 0x12, | 
					
						
							|  |  |  |     0x66, 0x4b, 0x37, 0xb8, 0xa0, 0xf2, 0x4f, 0x56, 0x81, 0x0d, 0xaa, 0x83, | 
					
						
							|  |  |  |     0x82, 0xcd, 0x4f, 0xa3, 0xf7, 0x76, 0x34, 0xec, 0x44, 0xdc, 0x54, 0xf1, | 
					
						
							|  |  |  |     0xc2, 0xed, 0x9b, 0xea, 0x86, 0xfa, 0xfb, 0x76, 0x32, 0xd8, 0xbe, 0x19, | 
					
						
							|  |  |  |     0x9e, 0xa1, 0x65, 0xf5, 0xad, 0x55, 0xdd, 0x9c, 0xe8 | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 17:57:12 +08:00
										 |  |  | static const uint8_t pubkey9[57] = { | 
					
						
							| 
									
										
										
										
											2017-11-27 19:32:03 +08:00
										 |  |  |     0xa8, 0x1b, 0x2e, 0x8a, 0x70, 0xa5, 0xac, 0x94, 0xff, 0xdb, 0xcc, 0x9b, | 
					
						
							|  |  |  |     0xad, 0xfc, 0x3f, 0xeb, 0x08, 0x01, 0xf2, 0x58, 0x57, 0x8b, 0xb1, 0x14, | 
					
						
							|  |  |  |     0xad, 0x44, 0xec, 0xe1, 0xec, 0x0e, 0x79, 0x9d, 0xa0, 0x8e, 0xff, 0xb8, | 
					
						
							|  |  |  |     0x1c, 0x5d, 0x68, 0x5c, 0x0c, 0x56, 0xf6, 0x4e, 0xec, 0xae, 0xf8, 0xcd, | 
					
						
							|  |  |  |     0xf1, 0x1c, 0xc3, 0x87, 0x37, 0x83, 0x8c, 0xf4, 0x00 | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 17:57:12 +08:00
										 |  |  | static const uint8_t msg9[1023] = { | 
					
						
							| 
									
										
										
										
											2017-11-27 19:32:03 +08:00
										 |  |  |     0x6d, 0xdf, 0x80, 0x2e, 0x1a, 0xae, 0x49, 0x86, 0x93, 0x5f, 0x7f, 0x98, | 
					
						
							|  |  |  |     0x1b, 0xa3, 0xf0, 0x35, 0x1d, 0x62, 0x73, 0xc0, 0xa0, 0xc2, 0x2c, 0x9c, | 
					
						
							|  |  |  |     0x0e, 0x83, 0x39, 0x16, 0x8e, 0x67, 0x54, 0x12, 0xa3, 0xde, 0xbf, 0xaf, | 
					
						
							|  |  |  |     0x43, 0x5e, 0xd6, 0x51, 0x55, 0x80, 0x07, 0xdb, 0x43, 0x84, 0xb6, 0x50, | 
					
						
							|  |  |  |     0xfc, 0xc0, 0x7e, 0x3b, 0x58, 0x6a, 0x27, 0xa4, 0xf7, 0xa0, 0x0a, 0xc8, | 
					
						
							|  |  |  |     0xa6, 0xfe, 0xc2, 0xcd, 0x86, 0xae, 0x4b, 0xf1, 0x57, 0x0c, 0x41, 0xe6, | 
					
						
							|  |  |  |     0xa4, 0x0c, 0x93, 0x1d, 0xb2, 0x7b, 0x2f, 0xaa, 0x15, 0xa8, 0xce, 0xdd, | 
					
						
							|  |  |  |     0x52, 0xcf, 0xf7, 0x36, 0x2c, 0x4e, 0x6e, 0x23, 0xda, 0xec, 0x0f, 0xbc, | 
					
						
							|  |  |  |     0x3a, 0x79, 0xb6, 0x80, 0x6e, 0x31, 0x6e, 0xfc, 0xc7, 0xb6, 0x81, 0x19, | 
					
						
							|  |  |  |     0xbf, 0x46, 0xbc, 0x76, 0xa2, 0x60, 0x67, 0xa5, 0x3f, 0x29, 0x6d, 0xaf, | 
					
						
							|  |  |  |     0xdb, 0xdc, 0x11, 0xc7, 0x7f, 0x77, 0x77, 0xe9, 0x72, 0x66, 0x0c, 0xf4, | 
					
						
							|  |  |  |     0xb6, 0xa9, 0xb3, 0x69, 0xa6, 0x66, 0x5f, 0x02, 0xe0, 0xcc, 0x9b, 0x6e, | 
					
						
							|  |  |  |     0xdf, 0xad, 0x13, 0x6b, 0x4f, 0xab, 0xe7, 0x23, 0xd2, 0x81, 0x3d, 0xb3, | 
					
						
							|  |  |  |     0x13, 0x6c, 0xfd, 0xe9, 0xb6, 0xd0, 0x44, 0x32, 0x2f, 0xee, 0x29, 0x47, | 
					
						
							|  |  |  |     0x95, 0x2e, 0x03, 0x1b, 0x73, 0xab, 0x5c, 0x60, 0x33, 0x49, 0xb3, 0x07, | 
					
						
							|  |  |  |     0xbd, 0xc2, 0x7b, 0xc6, 0xcb, 0x8b, 0x8b, 0xbd, 0x7b, 0xd3, 0x23, 0x21, | 
					
						
							|  |  |  |     0x9b, 0x80, 0x33, 0xa5, 0x81, 0xb5, 0x9e, 0xad, 0xeb, 0xb0, 0x9b, 0x3c, | 
					
						
							|  |  |  |     0x4f, 0x3d, 0x22, 0x77, 0xd4, 0xf0, 0x34, 0x36, 0x24, 0xac, 0xc8, 0x17, | 
					
						
							|  |  |  |     0x80, 0x47, 0x28, 0xb2, 0x5a, 0xb7, 0x97, 0x17, 0x2b, 0x4c, 0x5c, 0x21, | 
					
						
							|  |  |  |     0xa2, 0x2f, 0x9c, 0x78, 0x39, 0xd6, 0x43, 0x00, 0x23, 0x2e, 0xb6, 0x6e, | 
					
						
							|  |  |  |     0x53, 0xf3, 0x1c, 0x72, 0x3f, 0xa3, 0x7f, 0xe3, 0x87, 0xc7, 0xd3, 0xe5, | 
					
						
							|  |  |  |     0x0b, 0xdf, 0x98, 0x13, 0xa3, 0x0e, 0x5b, 0xb1, 0x2c, 0xf4, 0xcd, 0x93, | 
					
						
							|  |  |  |     0x0c, 0x40, 0xcf, 0xb4, 0xe1, 0xfc, 0x62, 0x25, 0x92, 0xa4, 0x95, 0x88, | 
					
						
							|  |  |  |     0x79, 0x44, 0x94, 0xd5, 0x6d, 0x24, 0xea, 0x4b, 0x40, 0xc8, 0x9f, 0xc0, | 
					
						
							|  |  |  |     0x59, 0x6c, 0xc9, 0xeb, 0xb9, 0x61, 0xc8, 0xcb, 0x10, 0xad, 0xde, 0x97, | 
					
						
							|  |  |  |     0x6a, 0x5d, 0x60, 0x2b, 0x1c, 0x3f, 0x85, 0xb9, 0xb9, 0xa0, 0x01, 0xed, | 
					
						
							|  |  |  |     0x3c, 0x6a, 0x4d, 0x3b, 0x14, 0x37, 0xf5, 0x20, 0x96, 0xcd, 0x19, 0x56, | 
					
						
							|  |  |  |     0xd0, 0x42, 0xa5, 0x97, 0xd5, 0x61, 0xa5, 0x96, 0xec, 0xd3, 0xd1, 0x73, | 
					
						
							|  |  |  |     0x5a, 0x8d, 0x57, 0x0e, 0xa0, 0xec, 0x27, 0x22, 0x5a, 0x2c, 0x4a, 0xaf, | 
					
						
							|  |  |  |     0xf2, 0x63, 0x06, 0xd1, 0x52, 0x6c, 0x1a, 0xf3, 0xca, 0x6d, 0x9c, 0xf5, | 
					
						
							|  |  |  |     0xa2, 0xc9, 0x8f, 0x47, 0xe1, 0xc4, 0x6d, 0xb9, 0xa3, 0x32, 0x34, 0xcf, | 
					
						
							|  |  |  |     0xd4, 0xd8, 0x1f, 0x2c, 0x98, 0x53, 0x8a, 0x09, 0xeb, 0xe7, 0x69, 0x98, | 
					
						
							|  |  |  |     0xd0, 0xd8, 0xfd, 0x25, 0x99, 0x7c, 0x7d, 0x25, 0x5c, 0x6d, 0x66, 0xec, | 
					
						
							|  |  |  |     0xe6, 0xfa, 0x56, 0xf1, 0x11, 0x44, 0x95, 0x0f, 0x02, 0x77, 0x95, 0xe6, | 
					
						
							|  |  |  |     0x53, 0x00, 0x8f, 0x4b, 0xd7, 0xca, 0x2d, 0xee, 0x85, 0xd8, 0xe9, 0x0f, | 
					
						
							|  |  |  |     0x3d, 0xc3, 0x15, 0x13, 0x0c, 0xe2, 0xa0, 0x03, 0x75, 0xa3, 0x18, 0xc7, | 
					
						
							|  |  |  |     0xc3, 0xd9, 0x7b, 0xe2, 0xc8, 0xce, 0x5b, 0x6d, 0xb4, 0x1a, 0x62, 0x54, | 
					
						
							|  |  |  |     0xff, 0x26, 0x4f, 0xa6, 0x15, 0x5b, 0xae, 0xe3, 0xb0, 0x77, 0x3c, 0x0f, | 
					
						
							|  |  |  |     0x49, 0x7c, 0x57, 0x3f, 0x19, 0xbb, 0x4f, 0x42, 0x40, 0x28, 0x1f, 0x0b, | 
					
						
							|  |  |  |     0x1f, 0x4f, 0x7b, 0xe8, 0x57, 0xa4, 0xe5, 0x9d, 0x41, 0x6c, 0x06, 0xb4, | 
					
						
							|  |  |  |     0xc5, 0x0f, 0xa0, 0x9e, 0x18, 0x10, 0xdd, 0xc6, 0xb1, 0x46, 0x7b, 0xae, | 
					
						
							|  |  |  |     0xac, 0x5a, 0x36, 0x68, 0xd1, 0x1b, 0x6e, 0xca, 0xa9, 0x01, 0x44, 0x00, | 
					
						
							|  |  |  |     0x16, 0xf3, 0x89, 0xf8, 0x0a, 0xcc, 0x4d, 0xb9, 0x77, 0x02, 0x5e, 0x7f, | 
					
						
							|  |  |  |     0x59, 0x24, 0x38, 0x8c, 0x7e, 0x34, 0x0a, 0x73, 0x2e, 0x55, 0x44, 0x40, | 
					
						
							|  |  |  |     0xe7, 0x65, 0x70, 0xf8, 0xdd, 0x71, 0xb7, 0xd6, 0x40, 0xb3, 0x45, 0x0d, | 
					
						
							|  |  |  |     0x1f, 0xd5, 0xf0, 0x41, 0x0a, 0x18, 0xf9, 0xa3, 0x49, 0x4f, 0x70, 0x7c, | 
					
						
							|  |  |  |     0x71, 0x7b, 0x79, 0xb4, 0xbf, 0x75, 0xc9, 0x84, 0x00, 0xb0, 0x96, 0xb2, | 
					
						
							|  |  |  |     0x16, 0x53, 0xb5, 0xd2, 0x17, 0xcf, 0x35, 0x65, 0xc9, 0x59, 0x74, 0x56, | 
					
						
							|  |  |  |     0xf7, 0x07, 0x03, 0x49, 0x7a, 0x07, 0x87, 0x63, 0x82, 0x9b, 0xc0, 0x1b, | 
					
						
							|  |  |  |     0xb1, 0xcb, 0xc8, 0xfa, 0x04, 0xea, 0xdc, 0x9a, 0x6e, 0x3f, 0x66, 0x99, | 
					
						
							|  |  |  |     0x58, 0x7a, 0x9e, 0x75, 0xc9, 0x4e, 0x5b, 0xab, 0x00, 0x36, 0xe0, 0xb2, | 
					
						
							|  |  |  |     0xe7, 0x11, 0x39, 0x2c, 0xff, 0x00, 0x47, 0xd0, 0xd6, 0xb0, 0x5b, 0xd2, | 
					
						
							|  |  |  |     0xa5, 0x88, 0xbc, 0x10, 0x97, 0x18, 0x95, 0x42, 0x59, 0xf1, 0xd8, 0x66, | 
					
						
							|  |  |  |     0x78, 0xa5, 0x79, 0xa3, 0x12, 0x0f, 0x19, 0xcf, 0xb2, 0x96, 0x3f, 0x17, | 
					
						
							|  |  |  |     0x7a, 0xeb, 0x70, 0xf2, 0xd4, 0x84, 0x48, 0x26, 0x26, 0x2e, 0x51, 0xb8, | 
					
						
							|  |  |  |     0x02, 0x71, 0x27, 0x20, 0x68, 0xef, 0x5b, 0x38, 0x56, 0xfa, 0x85, 0x35, | 
					
						
							|  |  |  |     0xaa, 0x2a, 0x88, 0xb2, 0xd4, 0x1f, 0x2a, 0x0e, 0x2f, 0xda, 0x76, 0x24, | 
					
						
							|  |  |  |     0xc2, 0x85, 0x02, 0x72, 0xac, 0x4a, 0x2f, 0x56, 0x1f, 0x8f, 0x2f, 0x7a, | 
					
						
							|  |  |  |     0x31, 0x8b, 0xfd, 0x5c, 0xaf, 0x96, 0x96, 0x14, 0x9e, 0x4a, 0xc8, 0x24, | 
					
						
							|  |  |  |     0xad, 0x34, 0x60, 0x53, 0x8f, 0xdc, 0x25, 0x42, 0x1b, 0xee, 0xc2, 0xcc, | 
					
						
							|  |  |  |     0x68, 0x18, 0x16, 0x2d, 0x06, 0xbb, 0xed, 0x0c, 0x40, 0xa3, 0x87, 0x19, | 
					
						
							|  |  |  |     0x23, 0x49, 0xdb, 0x67, 0xa1, 0x18, 0xba, 0xda, 0x6c, 0xd5, 0xab, 0x01, | 
					
						
							|  |  |  |     0x40, 0xee, 0x27, 0x32, 0x04, 0xf6, 0x28, 0xaa, 0xd1, 0xc1, 0x35, 0xf7, | 
					
						
							|  |  |  |     0x70, 0x27, 0x9a, 0x65, 0x1e, 0x24, 0xd8, 0xc1, 0x4d, 0x75, 0xa6, 0x05, | 
					
						
							|  |  |  |     0x9d, 0x76, 0xb9, 0x6a, 0x6f, 0xd8, 0x57, 0xde, 0xf5, 0xe0, 0xb3, 0x54, | 
					
						
							|  |  |  |     0xb2, 0x7a, 0xb9, 0x37, 0xa5, 0x81, 0x5d, 0x16, 0xb5, 0xfa, 0xe4, 0x07, | 
					
						
							|  |  |  |     0xff, 0x18, 0x22, 0x2c, 0x6d, 0x1e, 0xd2, 0x63, 0xbe, 0x68, 0xc9, 0x5f, | 
					
						
							|  |  |  |     0x32, 0xd9, 0x08, 0xbd, 0x89, 0x5c, 0xd7, 0x62, 0x07, 0xae, 0x72, 0x64, | 
					
						
							|  |  |  |     0x87, 0x56, 0x7f, 0x9a, 0x67, 0xda, 0xd7, 0x9a, 0xbe, 0xc3, 0x16, 0xf6, | 
					
						
							|  |  |  |     0x83, 0xb1, 0x7f, 0x2d, 0x02, 0xbf, 0x07, 0xe0, 0xac, 0x8b, 0x5b, 0xc6, | 
					
						
							|  |  |  |     0x16, 0x2c, 0xf9, 0x46, 0x97, 0xb3, 0xc2, 0x7c, 0xd1, 0xfe, 0xa4, 0x9b, | 
					
						
							|  |  |  |     0x27, 0xf2, 0x3b, 0xa2, 0x90, 0x18, 0x71, 0x96, 0x25, 0x06, 0x52, 0x0c, | 
					
						
							|  |  |  |     0x39, 0x2d, 0xa8, 0xb6, 0xad, 0x0d, 0x99, 0xf7, 0x01, 0x3f, 0xbc, 0x06, | 
					
						
							|  |  |  |     0xc2, 0xc1, 0x7a, 0x56, 0x95, 0x00, 0xc8, 0xa7, 0x69, 0x64, 0x81, 0xc1, | 
					
						
							|  |  |  |     0xcd, 0x33, 0xe9, 0xb1, 0x4e, 0x40, 0xb8, 0x2e, 0x79, 0xa5, 0xf5, 0xdb, | 
					
						
							|  |  |  |     0x82, 0x57, 0x1b, 0xa9, 0x7b, 0xae, 0x3a, 0xd3, 0xe0, 0x47, 0x95, 0x15, | 
					
						
							|  |  |  |     0xbb, 0x0e, 0x2b, 0x0f, 0x3b, 0xfc, 0xd1, 0xfd, 0x33, 0x03, 0x4e, 0xfc, | 
					
						
							|  |  |  |     0x62, 0x45, 0xed, 0xdd, 0x7e, 0xe2, 0x08, 0x6d, 0xda, 0xe2, 0x60, 0x0d, | 
					
						
							|  |  |  |     0x8c, 0xa7, 0x3e, 0x21, 0x4e, 0x8c, 0x2b, 0x0b, 0xdb, 0x2b, 0x04, 0x7c, | 
					
						
							|  |  |  |     0x6a, 0x46, 0x4a, 0x56, 0x2e, 0xd7, 0x7b, 0x73, 0xd2, 0xd8, 0x41, 0xc4, | 
					
						
							|  |  |  |     0xb3, 0x49, 0x73, 0x55, 0x12, 0x57, 0x71, 0x3b, 0x75, 0x36, 0x32, 0xef, | 
					
						
							|  |  |  |     0xba, 0x34, 0x81, 0x69, 0xab, 0xc9, 0x0a, 0x68, 0xf4, 0x26, 0x11, 0xa4, | 
					
						
							|  |  |  |     0x01, 0x26, 0xd7, 0xcb, 0x21, 0xb5, 0x86, 0x95, 0x56, 0x81, 0x86, 0xf7, | 
					
						
							|  |  |  |     0xe5, 0x69, 0xd2, 0xff, 0x0f, 0x9e, 0x74, 0x5d, 0x04, 0x87, 0xdd, 0x2e, | 
					
						
							|  |  |  |     0xb9, 0x97, 0xca, 0xfc, 0x5a, 0xbf, 0x9d, 0xd1, 0x02, 0xe6, 0x2f, 0xf6, | 
					
						
							|  |  |  |     0x6c, 0xba, 0x87 | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 17:57:12 +08:00
										 |  |  | static const uint8_t sig9[114] = { | 
					
						
							| 
									
										
										
										
											2017-11-27 19:32:03 +08:00
										 |  |  |     0xe3, 0x01, 0x34, 0x5a, 0x41, 0xa3, 0x9a, 0x4d, 0x72, 0xff, 0xf8, 0xdf, | 
					
						
							|  |  |  |     0x69, 0xc9, 0x80, 0x75, 0xa0, 0xcc, 0x08, 0x2b, 0x80, 0x2f, 0xc9, 0xb2, | 
					
						
							|  |  |  |     0xb6, 0xbc, 0x50, 0x3f, 0x92, 0x6b, 0x65, 0xbd, 0xdf, 0x7f, 0x4c, 0x8f, | 
					
						
							|  |  |  |     0x1c, 0xb4, 0x9f, 0x63, 0x96, 0xaf, 0xc8, 0xa7, 0x0a, 0xbe, 0x6d, 0x8a, | 
					
						
							|  |  |  |     0xef, 0x0d, 0xb4, 0x78, 0xd4, 0xc6, 0xb2, 0x97, 0x00, 0x76, 0xc6, 0xa0, | 
					
						
							|  |  |  |     0x48, 0x4f, 0xe7, 0x6d, 0x76, 0xb3, 0xa9, 0x76, 0x25, 0xd7, 0x9f, 0x1c, | 
					
						
							|  |  |  |     0xe2, 0x40, 0xe7, 0xc5, 0x76, 0x75, 0x0d, 0x29, 0x55, 0x28, 0x28, 0x6f, | 
					
						
							|  |  |  |     0x71, 0x9b, 0x41, 0x3d, 0xe9, 0xad, 0xa3, 0xe8, 0xeb, 0x78, 0xed, 0x57, | 
					
						
							|  |  |  |     0x36, 0x03, 0xce, 0x30, 0xd8, 0xbb, 0x76, 0x17, 0x85, 0xdc, 0x30, 0xdb, | 
					
						
							|  |  |  |     0xc3, 0x20, 0x86, 0x9e, 0x1a, 0x00 | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-11-28 17:53:58 +08:00
										 |  |  | /* Prehash Ed448 */ | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 17:57:12 +08:00
										 |  |  | static const uint8_t phprivkey1[57] = { | 
					
						
							| 
									
										
										
										
											2017-11-28 17:53:58 +08:00
										 |  |  |     0x83, 0x3f, 0xe6, 0x24, 0x09, 0x23, 0x7b, 0x9d, 0x62, 0xec, 0x77, 0x58, | 
					
						
							|  |  |  |     0x75, 0x20, 0x91, 0x1e, 0x9a, 0x75, 0x9c, 0xec, 0x1d, 0x19, 0x75, 0x5b, | 
					
						
							|  |  |  |     0x7d, 0xa9, 0x01, 0xb9, 0x6d, 0xca, 0x3d, 0x42, 0xef, 0x78, 0x22, 0xe0, | 
					
						
							|  |  |  |     0xd5, 0x10, 0x41, 0x27, 0xdc, 0x05, 0xd6, 0xdb, 0xef, 0xde, 0x69, 0xe3, | 
					
						
							|  |  |  |     0xab, 0x2c, 0xec, 0x7c, 0x86, 0x7c, 0x6e, 0x2c, 0x49 | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 17:57:12 +08:00
										 |  |  | static const uint8_t phpubkey1[57] = { | 
					
						
							| 
									
										
										
										
											2017-11-28 17:53:58 +08:00
										 |  |  |     0x25, 0x9b, 0x71, 0xc1, 0x9f, 0x83, 0xef, 0x77, 0xa7, 0xab, 0xd2, 0x65, | 
					
						
							|  |  |  |     0x24, 0xcb, 0xdb, 0x31, 0x61, 0xb5, 0x90, 0xa4, 0x8f, 0x7d, 0x17, 0xde, | 
					
						
							|  |  |  |     0x3e, 0xe0, 0xba, 0x9c, 0x52, 0xbe, 0xb7, 0x43, 0xc0, 0x94, 0x28, 0xa1, | 
					
						
							|  |  |  |     0x31, 0xd6, 0xb1, 0xb5, 0x73, 0x03, 0xd9, 0x0d, 0x81, 0x32, 0xc2, 0x76, | 
					
						
							|  |  |  |     0xd5, 0xed, 0x3d, 0x5d, 0x01, 0xc0, 0xf5, 0x38, 0x80 | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 17:57:12 +08:00
										 |  |  | static const uint8_t phmsg1[3] = { | 
					
						
							| 
									
										
										
										
											2017-11-28 17:53:58 +08:00
										 |  |  |     0x61, 0x62, 0x63 | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 17:57:12 +08:00
										 |  |  | static const uint8_t phsig1[114] = { | 
					
						
							| 
									
										
										
										
											2017-11-28 17:53:58 +08:00
										 |  |  |     0x82, 0x2f, 0x69, 0x01, 0xf7, 0x48, 0x0f, 0x3d, 0x5f, 0x56, 0x2c, 0x59, | 
					
						
							|  |  |  |     0x29, 0x94, 0xd9, 0x69, 0x36, 0x02, 0x87, 0x56, 0x14, 0x48, 0x32, 0x56, | 
					
						
							|  |  |  |     0x50, 0x56, 0x00, 0xbb, 0xc2, 0x81, 0xae, 0x38, 0x1f, 0x54, 0xd6, 0xbc, | 
					
						
							|  |  |  |     0xe2, 0xea, 0x91, 0x15, 0x74, 0x93, 0x2f, 0x52, 0xa4, 0xe6, 0xca, 0xdd, | 
					
						
							|  |  |  |     0x78, 0x76, 0x93, 0x75, 0xec, 0x3f, 0xfd, 0x1b, 0x80, 0x1a, 0x0d, 0x9b, | 
					
						
							|  |  |  |     0x3f, 0x40, 0x30, 0xcd, 0x43, 0x39, 0x64, 0xb6, 0x45, 0x7e, 0xa3, 0x94, | 
					
						
							|  |  |  |     0x76, 0x51, 0x12, 0x14, 0xf9, 0x74, 0x69, 0xb5, 0x7d, 0xd3, 0x2d, 0xbc, | 
					
						
							|  |  |  |     0x56, 0x0a, 0x9a, 0x94, 0xd0, 0x0b, 0xff, 0x07, 0x62, 0x04, 0x64, 0xa3, | 
					
						
							|  |  |  |     0xad, 0x20, 0x3d, 0xf7, 0xdc, 0x7c, 0xe3, 0x60, 0xc3, 0xcd, 0x36, 0x96, | 
					
						
							|  |  |  |     0xd9, 0xd9, 0xfa, 0xb9, 0x0f, 0x00 | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 17:57:12 +08:00
										 |  |  | static const uint8_t phprivkey2[57] = { | 
					
						
							| 
									
										
										
										
											2017-11-28 17:53:58 +08:00
										 |  |  |     0x83, 0x3f, 0xe6, 0x24, 0x09, 0x23, 0x7b, 0x9d, 0x62, 0xec, 0x77, 0x58, | 
					
						
							|  |  |  |     0x75, 0x20, 0x91, 0x1e, 0x9a, 0x75, 0x9c, 0xec, 0x1d, 0x19, 0x75, 0x5b, | 
					
						
							|  |  |  |     0x7d, 0xa9, 0x01, 0xb9, 0x6d, 0xca, 0x3d, 0x42, 0xef, 0x78, 0x22, 0xe0, | 
					
						
							|  |  |  |     0xd5, 0x10, 0x41, 0x27, 0xdc, 0x05, 0xd6, 0xdb, 0xef, 0xde, 0x69, 0xe3, | 
					
						
							|  |  |  |     0xab, 0x2c, 0xec, 0x7c, 0x86, 0x7c, 0x6e, 0x2c, 0x49 | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 17:57:12 +08:00
										 |  |  | static const uint8_t phpubkey2[57] = { | 
					
						
							| 
									
										
										
										
											2017-11-28 17:53:58 +08:00
										 |  |  |     0x25, 0x9b, 0x71, 0xc1, 0x9f, 0x83, 0xef, 0x77, 0xa7, 0xab, 0xd2, 0x65, | 
					
						
							|  |  |  |     0x24, 0xcb, 0xdb, 0x31, 0x61, 0xb5, 0x90, 0xa4, 0x8f, 0x7d, 0x17, 0xde, | 
					
						
							|  |  |  |     0x3e, 0xe0, 0xba, 0x9c, 0x52, 0xbe, 0xb7, 0x43, 0xc0, 0x94, 0x28, 0xa1, | 
					
						
							|  |  |  |     0x31, 0xd6, 0xb1, 0xb5, 0x73, 0x03, 0xd9, 0x0d, 0x81, 0x32, 0xc2, 0x76, | 
					
						
							|  |  |  |     0xd5, 0xed, 0x3d, 0x5d, 0x01, 0xc0, 0xf5, 0x38, 0x80 | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 17:57:12 +08:00
										 |  |  | static const uint8_t phmsg2[3] = { | 
					
						
							| 
									
										
										
										
											2017-11-28 17:53:58 +08:00
										 |  |  |     0x61, 0x62, 0x63 | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 17:57:12 +08:00
										 |  |  | static const uint8_t phcontext2[3] = { | 
					
						
							| 
									
										
										
										
											2017-11-28 17:53:58 +08:00
										 |  |  |     0x66, 0x6f, 0x6f | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 17:57:12 +08:00
										 |  |  | static const uint8_t phsig2[114] = { | 
					
						
							| 
									
										
										
										
											2017-11-28 17:53:58 +08:00
										 |  |  |     0xc3, 0x22, 0x99, 0xd4, 0x6e, 0xc8, 0xff, 0x02, 0xb5, 0x45, 0x40, 0x98, | 
					
						
							|  |  |  |     0x28, 0x14, 0xdc, 0xe9, 0xa0, 0x58, 0x12, 0xf8, 0x19, 0x62, 0xb6, 0x49, | 
					
						
							|  |  |  |     0xd5, 0x28, 0x09, 0x59, 0x16, 0xa2, 0xaa, 0x48, 0x10, 0x65, 0xb1, 0x58, | 
					
						
							|  |  |  |     0x04, 0x23, 0xef, 0x92, 0x7e, 0xcf, 0x0a, 0xf5, 0x88, 0x8f, 0x90, 0xda, | 
					
						
							|  |  |  |     0x0f, 0x6a, 0x9a, 0x85, 0xad, 0x5d, 0xc3, 0xf2, 0x80, 0xd9, 0x12, 0x24, | 
					
						
							|  |  |  |     0xba, 0x99, 0x11, 0xa3, 0x65, 0x3d, 0x00, 0xe4, 0x84, 0xe2, 0xce, 0x23, | 
					
						
							|  |  |  |     0x25, 0x21, 0x48, 0x1c, 0x86, 0x58, 0xdf, 0x30, 0x4b, 0xb7, 0x74, 0x5a, | 
					
						
							|  |  |  |     0x73, 0x51, 0x4c, 0xdb, 0x9b, 0xf3, 0xe1, 0x57, 0x84, 0xab, 0x71, 0x28, | 
					
						
							|  |  |  |     0x4f, 0x8d, 0x07, 0x04, 0xa6, 0x08, 0xc5, 0x4a, 0x6b, 0x62, 0xd9, 0x7b, | 
					
						
							|  |  |  |     0xeb, 0x51, 0x1d, 0x13, 0x21, 0x00 | 
					
						
							|  |  |  | }; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-11-28 19:34:54 +08:00
										 |  |  | static const uint8_t *dohash(EVP_MD_CTX *hashctx, const uint8_t *msg, | 
					
						
							|  |  |  |                              size_t msglen) | 
					
						
							| 
									
										
										
										
											2017-11-28 17:53:58 +08:00
										 |  |  | { | 
					
						
							|  |  |  |     static uint8_t hashout[64]; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-11-28 19:34:54 +08:00
										 |  |  |     if (!EVP_DigestInit_ex(hashctx, EVP_shake256(), NULL) | 
					
						
							| 
									
										
										
										
											2018-02-12 22:27:02 +08:00
										 |  |  |             || !EVP_DigestUpdate(hashctx, msg, msglen) | 
					
						
							|  |  |  |             || !EVP_DigestFinalXOF(hashctx, hashout, sizeof(hashout))) | 
					
						
							| 
									
										
										
										
											2017-11-28 19:34:54 +08:00
										 |  |  |         return NULL; | 
					
						
							| 
									
										
										
										
											2017-11-28 17:53:58 +08:00
										 |  |  | 
 | 
					
						
							|  |  |  |     return hashout; | 
					
						
							|  |  |  | } | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 04:32:19 +08:00
										 |  |  | static int test_ed448(void) | 
					
						
							| 
									
										
										
										
											2017-11-27 19:32:03 +08:00
										 |  |  | { | 
					
						
							|  |  |  |     uint8_t outsig[114]; | 
					
						
							| 
									
										
										
										
											2017-11-28 19:34:54 +08:00
										 |  |  |     EVP_MD_CTX *hashctx = EVP_MD_CTX_new(); | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 04:32:19 +08:00
										 |  |  |     if (!TEST_ptr(hashctx) | 
					
						
							| 
									
										
										
										
											2021-03-09 09:04:21 +08:00
										 |  |  |             || !TEST_true(ossl_ed448_sign(NULL, outsig, NULL, 0, pubkey1, | 
					
						
							| 
									
										
											  
											
												Support all five EdDSA instances from RFC 8032
Fixes #6277
Description:
Make each of the five EdDSA instances defined in RFC 8032 -- Ed25519,
Ed25519ctx, Ed25519ph, Ed448, Ed448ph -- available via the EVP APIs.
The desired EdDSA instance is specified via an OSSL_PARAM.
All instances, except for Ed25519, allow context strings as input.
Context strings are passed via an OSSL_PARAM.  For Ed25519ctx, the
context string must be nonempty.
Ed25519, Ed25519ctx, Ed448 are PureEdDSA instances, which means that
the full message (not a digest) must be passed to sign and verify
operations.
Ed25519ph, Ed448ph are HashEdDSA instances, which means that the input
message is hashed before sign and verify.
Testing:
All 21 test vectors from RFC 8032 have been added to evppkey_ecx.txt
(thanks to Shane Lontis for showing how to do that).  Those 21 test
vectors are exercised by evp_test.c and cover all five instances.
Reviewed-by: Hugo Landau <hlandau@openssl.org>
Reviewed-by: Shane Lontis <shane.lontis@oracle.com>
(Merged from https://github.com/openssl/openssl/pull/19705)
											
										 
											2022-10-16 10:23:39 +08:00
										 |  |  |                                           privkey1, NULL, 0, 0, NULL)) | 
					
						
							| 
									
										
										
										
											2017-12-13 04:32:19 +08:00
										 |  |  |             || !TEST_int_eq(memcmp(sig1, outsig, sizeof(sig1)), 0) | 
					
						
							| 
									
										
										
										
											2021-03-09 09:04:21 +08:00
										 |  |  |             || !TEST_true(ossl_ed448_sign(NULL, outsig, msg2, sizeof(msg2), | 
					
						
							| 
									
										
											  
											
												Support all five EdDSA instances from RFC 8032
Fixes #6277
Description:
Make each of the five EdDSA instances defined in RFC 8032 -- Ed25519,
Ed25519ctx, Ed25519ph, Ed448, Ed448ph -- available via the EVP APIs.
The desired EdDSA instance is specified via an OSSL_PARAM.
All instances, except for Ed25519, allow context strings as input.
Context strings are passed via an OSSL_PARAM.  For Ed25519ctx, the
context string must be nonempty.
Ed25519, Ed25519ctx, Ed448 are PureEdDSA instances, which means that
the full message (not a digest) must be passed to sign and verify
operations.
Ed25519ph, Ed448ph are HashEdDSA instances, which means that the input
message is hashed before sign and verify.
Testing:
All 21 test vectors from RFC 8032 have been added to evppkey_ecx.txt
(thanks to Shane Lontis for showing how to do that).  Those 21 test
vectors are exercised by evp_test.c and cover all five instances.
Reviewed-by: Hugo Landau <hlandau@openssl.org>
Reviewed-by: Shane Lontis <shane.lontis@oracle.com>
(Merged from https://github.com/openssl/openssl/pull/19705)
											
										 
											2022-10-16 10:23:39 +08:00
										 |  |  |                                           pubkey2, privkey2, NULL, 0, 0, NULL)) | 
					
						
							| 
									
										
										
										
											2017-12-13 04:32:19 +08:00
										 |  |  |             || !TEST_int_eq(memcmp(sig2, outsig, sizeof(sig2)), 0) | 
					
						
							| 
									
										
										
										
											2021-03-09 09:04:21 +08:00
										 |  |  |             || !TEST_true(ossl_ed448_sign(NULL, outsig, msg3, sizeof(msg3), | 
					
						
							|  |  |  |                                           pubkey3, privkey3, context3, | 
					
						
							| 
									
										
											  
											
												Support all five EdDSA instances from RFC 8032
Fixes #6277
Description:
Make each of the five EdDSA instances defined in RFC 8032 -- Ed25519,
Ed25519ctx, Ed25519ph, Ed448, Ed448ph -- available via the EVP APIs.
The desired EdDSA instance is specified via an OSSL_PARAM.
All instances, except for Ed25519, allow context strings as input.
Context strings are passed via an OSSL_PARAM.  For Ed25519ctx, the
context string must be nonempty.
Ed25519, Ed25519ctx, Ed448 are PureEdDSA instances, which means that
the full message (not a digest) must be passed to sign and verify
operations.
Ed25519ph, Ed448ph are HashEdDSA instances, which means that the input
message is hashed before sign and verify.
Testing:
All 21 test vectors from RFC 8032 have been added to evppkey_ecx.txt
(thanks to Shane Lontis for showing how to do that).  Those 21 test
vectors are exercised by evp_test.c and cover all five instances.
Reviewed-by: Hugo Landau <hlandau@openssl.org>
Reviewed-by: Shane Lontis <shane.lontis@oracle.com>
(Merged from https://github.com/openssl/openssl/pull/19705)
											
										 
											2022-10-16 10:23:39 +08:00
										 |  |  |                                           sizeof(context3), 0, NULL)) | 
					
						
							| 
									
										
										
										
											2017-12-13 04:32:19 +08:00
										 |  |  |             || !TEST_int_eq(memcmp(sig3, outsig, sizeof(sig3)), 0) | 
					
						
							| 
									
										
										
										
											2021-03-09 09:04:21 +08:00
										 |  |  |             || !TEST_true(ossl_ed448_sign(NULL, outsig, msg4, sizeof(msg4), | 
					
						
							| 
									
										
											  
											
												Support all five EdDSA instances from RFC 8032
Fixes #6277
Description:
Make each of the five EdDSA instances defined in RFC 8032 -- Ed25519,
Ed25519ctx, Ed25519ph, Ed448, Ed448ph -- available via the EVP APIs.
The desired EdDSA instance is specified via an OSSL_PARAM.
All instances, except for Ed25519, allow context strings as input.
Context strings are passed via an OSSL_PARAM.  For Ed25519ctx, the
context string must be nonempty.
Ed25519, Ed25519ctx, Ed448 are PureEdDSA instances, which means that
the full message (not a digest) must be passed to sign and verify
operations.
Ed25519ph, Ed448ph are HashEdDSA instances, which means that the input
message is hashed before sign and verify.
Testing:
All 21 test vectors from RFC 8032 have been added to evppkey_ecx.txt
(thanks to Shane Lontis for showing how to do that).  Those 21 test
vectors are exercised by evp_test.c and cover all five instances.
Reviewed-by: Hugo Landau <hlandau@openssl.org>
Reviewed-by: Shane Lontis <shane.lontis@oracle.com>
(Merged from https://github.com/openssl/openssl/pull/19705)
											
										 
											2022-10-16 10:23:39 +08:00
										 |  |  |                                           pubkey4, privkey4, NULL, 0, 0, NULL)) | 
					
						
							| 
									
										
										
										
											2017-12-13 04:32:19 +08:00
										 |  |  |             || !TEST_int_eq(memcmp(sig4, outsig, sizeof(sig4)), 0) | 
					
						
							| 
									
										
										
										
											2021-03-09 09:04:21 +08:00
										 |  |  |             || !TEST_true(ossl_ed448_sign(NULL, outsig, msg5, sizeof(msg5), | 
					
						
							| 
									
										
											  
											
												Support all five EdDSA instances from RFC 8032
Fixes #6277
Description:
Make each of the five EdDSA instances defined in RFC 8032 -- Ed25519,
Ed25519ctx, Ed25519ph, Ed448, Ed448ph -- available via the EVP APIs.
The desired EdDSA instance is specified via an OSSL_PARAM.
All instances, except for Ed25519, allow context strings as input.
Context strings are passed via an OSSL_PARAM.  For Ed25519ctx, the
context string must be nonempty.
Ed25519, Ed25519ctx, Ed448 are PureEdDSA instances, which means that
the full message (not a digest) must be passed to sign and verify
operations.
Ed25519ph, Ed448ph are HashEdDSA instances, which means that the input
message is hashed before sign and verify.
Testing:
All 21 test vectors from RFC 8032 have been added to evppkey_ecx.txt
(thanks to Shane Lontis for showing how to do that).  Those 21 test
vectors are exercised by evp_test.c and cover all five instances.
Reviewed-by: Hugo Landau <hlandau@openssl.org>
Reviewed-by: Shane Lontis <shane.lontis@oracle.com>
(Merged from https://github.com/openssl/openssl/pull/19705)
											
										 
											2022-10-16 10:23:39 +08:00
										 |  |  |                                           pubkey5, privkey5, NULL, 0, 0, NULL)) | 
					
						
							| 
									
										
										
										
											2017-12-13 04:32:19 +08:00
										 |  |  |             || !TEST_int_eq(memcmp(sig5, outsig, sizeof(sig5)), 0) | 
					
						
							| 
									
										
										
										
											2021-03-09 09:04:21 +08:00
										 |  |  |             || !TEST_true(ossl_ed448_sign(NULL, outsig, msg6, sizeof(msg6), | 
					
						
							| 
									
										
											  
											
												Support all five EdDSA instances from RFC 8032
Fixes #6277
Description:
Make each of the five EdDSA instances defined in RFC 8032 -- Ed25519,
Ed25519ctx, Ed25519ph, Ed448, Ed448ph -- available via the EVP APIs.
The desired EdDSA instance is specified via an OSSL_PARAM.
All instances, except for Ed25519, allow context strings as input.
Context strings are passed via an OSSL_PARAM.  For Ed25519ctx, the
context string must be nonempty.
Ed25519, Ed25519ctx, Ed448 are PureEdDSA instances, which means that
the full message (not a digest) must be passed to sign and verify
operations.
Ed25519ph, Ed448ph are HashEdDSA instances, which means that the input
message is hashed before sign and verify.
Testing:
All 21 test vectors from RFC 8032 have been added to evppkey_ecx.txt
(thanks to Shane Lontis for showing how to do that).  Those 21 test
vectors are exercised by evp_test.c and cover all five instances.
Reviewed-by: Hugo Landau <hlandau@openssl.org>
Reviewed-by: Shane Lontis <shane.lontis@oracle.com>
(Merged from https://github.com/openssl/openssl/pull/19705)
											
										 
											2022-10-16 10:23:39 +08:00
										 |  |  |                                           pubkey6, privkey6, NULL, 0, 0, NULL)) | 
					
						
							| 
									
										
										
										
											2017-12-13 04:32:19 +08:00
										 |  |  |             || !TEST_int_eq(memcmp(sig6, outsig, sizeof(sig6)), 0) | 
					
						
							| 
									
										
										
										
											2021-03-09 09:04:21 +08:00
										 |  |  |             || !TEST_true(ossl_ed448_sign(NULL, outsig, msg7, sizeof(msg7), | 
					
						
							| 
									
										
											  
											
												Support all five EdDSA instances from RFC 8032
Fixes #6277
Description:
Make each of the five EdDSA instances defined in RFC 8032 -- Ed25519,
Ed25519ctx, Ed25519ph, Ed448, Ed448ph -- available via the EVP APIs.
The desired EdDSA instance is specified via an OSSL_PARAM.
All instances, except for Ed25519, allow context strings as input.
Context strings are passed via an OSSL_PARAM.  For Ed25519ctx, the
context string must be nonempty.
Ed25519, Ed25519ctx, Ed448 are PureEdDSA instances, which means that
the full message (not a digest) must be passed to sign and verify
operations.
Ed25519ph, Ed448ph are HashEdDSA instances, which means that the input
message is hashed before sign and verify.
Testing:
All 21 test vectors from RFC 8032 have been added to evppkey_ecx.txt
(thanks to Shane Lontis for showing how to do that).  Those 21 test
vectors are exercised by evp_test.c and cover all five instances.
Reviewed-by: Hugo Landau <hlandau@openssl.org>
Reviewed-by: Shane Lontis <shane.lontis@oracle.com>
(Merged from https://github.com/openssl/openssl/pull/19705)
											
										 
											2022-10-16 10:23:39 +08:00
										 |  |  |                                           pubkey7, privkey7, NULL, 0, 0, NULL)) | 
					
						
							| 
									
										
										
										
											2017-12-13 04:32:19 +08:00
										 |  |  |             || !TEST_int_eq(memcmp(sig7, outsig, sizeof(sig7)), 0) | 
					
						
							| 
									
										
										
										
											2021-03-09 09:04:21 +08:00
										 |  |  |             || !TEST_true(ossl_ed448_sign(NULL, outsig, msg8, sizeof(msg8), | 
					
						
							| 
									
										
											  
											
												Support all five EdDSA instances from RFC 8032
Fixes #6277
Description:
Make each of the five EdDSA instances defined in RFC 8032 -- Ed25519,
Ed25519ctx, Ed25519ph, Ed448, Ed448ph -- available via the EVP APIs.
The desired EdDSA instance is specified via an OSSL_PARAM.
All instances, except for Ed25519, allow context strings as input.
Context strings are passed via an OSSL_PARAM.  For Ed25519ctx, the
context string must be nonempty.
Ed25519, Ed25519ctx, Ed448 are PureEdDSA instances, which means that
the full message (not a digest) must be passed to sign and verify
operations.
Ed25519ph, Ed448ph are HashEdDSA instances, which means that the input
message is hashed before sign and verify.
Testing:
All 21 test vectors from RFC 8032 have been added to evppkey_ecx.txt
(thanks to Shane Lontis for showing how to do that).  Those 21 test
vectors are exercised by evp_test.c and cover all five instances.
Reviewed-by: Hugo Landau <hlandau@openssl.org>
Reviewed-by: Shane Lontis <shane.lontis@oracle.com>
(Merged from https://github.com/openssl/openssl/pull/19705)
											
										 
											2022-10-16 10:23:39 +08:00
										 |  |  |                                           pubkey8, privkey8, NULL, 0, 0, NULL)) | 
					
						
							| 
									
										
										
										
											2017-12-13 04:32:19 +08:00
										 |  |  |             || !TEST_int_eq(memcmp(sig8, outsig, sizeof(sig8)), 0) | 
					
						
							| 
									
										
										
										
											2021-03-09 09:04:21 +08:00
										 |  |  |             || !TEST_true(ossl_ed448_sign(NULL, outsig, msg9, sizeof(msg9), | 
					
						
							| 
									
										
											  
											
												Support all five EdDSA instances from RFC 8032
Fixes #6277
Description:
Make each of the five EdDSA instances defined in RFC 8032 -- Ed25519,
Ed25519ctx, Ed25519ph, Ed448, Ed448ph -- available via the EVP APIs.
The desired EdDSA instance is specified via an OSSL_PARAM.
All instances, except for Ed25519, allow context strings as input.
Context strings are passed via an OSSL_PARAM.  For Ed25519ctx, the
context string must be nonempty.
Ed25519, Ed25519ctx, Ed448 are PureEdDSA instances, which means that
the full message (not a digest) must be passed to sign and verify
operations.
Ed25519ph, Ed448ph are HashEdDSA instances, which means that the input
message is hashed before sign and verify.
Testing:
All 21 test vectors from RFC 8032 have been added to evppkey_ecx.txt
(thanks to Shane Lontis for showing how to do that).  Those 21 test
vectors are exercised by evp_test.c and cover all five instances.
Reviewed-by: Hugo Landau <hlandau@openssl.org>
Reviewed-by: Shane Lontis <shane.lontis@oracle.com>
(Merged from https://github.com/openssl/openssl/pull/19705)
											
										 
											2022-10-16 10:23:39 +08:00
										 |  |  |                                           pubkey9, privkey9, NULL, 0, 0, NULL)) | 
					
						
							| 
									
										
										
										
											2017-12-13 04:32:19 +08:00
										 |  |  |             || !TEST_int_eq(memcmp(sig9, outsig, sizeof(sig9)), 0) | 
					
						
							| 
									
										
											  
											
												Support all five EdDSA instances from RFC 8032
Fixes #6277
Description:
Make each of the five EdDSA instances defined in RFC 8032 -- Ed25519,
Ed25519ctx, Ed25519ph, Ed448, Ed448ph -- available via the EVP APIs.
The desired EdDSA instance is specified via an OSSL_PARAM.
All instances, except for Ed25519, allow context strings as input.
Context strings are passed via an OSSL_PARAM.  For Ed25519ctx, the
context string must be nonempty.
Ed25519, Ed25519ctx, Ed448 are PureEdDSA instances, which means that
the full message (not a digest) must be passed to sign and verify
operations.
Ed25519ph, Ed448ph are HashEdDSA instances, which means that the input
message is hashed before sign and verify.
Testing:
All 21 test vectors from RFC 8032 have been added to evppkey_ecx.txt
(thanks to Shane Lontis for showing how to do that).  Those 21 test
vectors are exercised by evp_test.c and cover all five instances.
Reviewed-by: Hugo Landau <hlandau@openssl.org>
Reviewed-by: Shane Lontis <shane.lontis@oracle.com>
(Merged from https://github.com/openssl/openssl/pull/19705)
											
										 
											2022-10-16 10:23:39 +08:00
										 |  |  |             || !TEST_true(ossl_ed448_sign(NULL, outsig, | 
					
						
							|  |  |  |                                           dohash(hashctx, phmsg1, | 
					
						
							|  |  |  |                                                  sizeof(phmsg1)), 64, phpubkey1, | 
					
						
							|  |  |  |                                                  phprivkey1, NULL, 0, 1, NULL)) | 
					
						
							| 
									
										
										
										
											2017-12-13 04:32:19 +08:00
										 |  |  |             || !TEST_int_eq(memcmp(phsig1, outsig, sizeof(phsig1)), 0) | 
					
						
							| 
									
										
											  
											
												Support all five EdDSA instances from RFC 8032
Fixes #6277
Description:
Make each of the five EdDSA instances defined in RFC 8032 -- Ed25519,
Ed25519ctx, Ed25519ph, Ed448, Ed448ph -- available via the EVP APIs.
The desired EdDSA instance is specified via an OSSL_PARAM.
All instances, except for Ed25519, allow context strings as input.
Context strings are passed via an OSSL_PARAM.  For Ed25519ctx, the
context string must be nonempty.
Ed25519, Ed25519ctx, Ed448 are PureEdDSA instances, which means that
the full message (not a digest) must be passed to sign and verify
operations.
Ed25519ph, Ed448ph are HashEdDSA instances, which means that the input
message is hashed before sign and verify.
Testing:
All 21 test vectors from RFC 8032 have been added to evppkey_ecx.txt
(thanks to Shane Lontis for showing how to do that).  Those 21 test
vectors are exercised by evp_test.c and cover all five instances.
Reviewed-by: Hugo Landau <hlandau@openssl.org>
Reviewed-by: Shane Lontis <shane.lontis@oracle.com>
(Merged from https://github.com/openssl/openssl/pull/19705)
											
										 
											2022-10-16 10:23:39 +08:00
										 |  |  |             || !TEST_true(ossl_ed448_sign(NULL, outsig, | 
					
						
							|  |  |  |                                           dohash(hashctx, phmsg2, | 
					
						
							|  |  |  |                                                  sizeof(phmsg2)), 64, phpubkey2, | 
					
						
							|  |  |  |                                                  phprivkey2, phcontext2, | 
					
						
							|  |  |  |                                                  sizeof(phcontext2), 1, NULL)) | 
					
						
							| 
									
										
										
										
											2017-12-13 04:32:19 +08:00
										 |  |  |             || !TEST_int_eq(memcmp(phsig2, outsig, sizeof(phsig2)), 0)) { | 
					
						
							|  |  |  |         EVP_MD_CTX_free(hashctx); | 
					
						
							| 
									
										
										
										
											2017-11-28 19:34:54 +08:00
										 |  |  |         return 0; | 
					
						
							|  |  |  |     } | 
					
						
							| 
									
										
										
										
											2017-11-27 19:32:03 +08:00
										 |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-11-28 19:34:54 +08:00
										 |  |  |     EVP_MD_CTX_free(hashctx); | 
					
						
							| 
									
										
										
										
											2017-12-13 04:32:19 +08:00
										 |  |  |     return 1; | 
					
						
							| 
									
										
										
										
											2017-11-27 19:32:03 +08:00
										 |  |  | } | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 04:32:19 +08:00
										 |  |  | static int test_x448(void) | 
					
						
							| 
									
										
										
										
											2017-11-16 19:52:06 +08:00
										 |  |  | { | 
					
						
							|  |  |  |     uint8_t u[56], k[56], out[56]; | 
					
						
							| 
									
										
										
										
											2017-12-13 04:32:19 +08:00
										 |  |  |     unsigned int i; | 
					
						
							| 
									
										
										
										
											2017-11-16 19:52:06 +08:00
										 |  |  |     int j = -1; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-11-27 19:32:03 +08:00
										 |  |  |     /* Curve448 tests */ | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2021-03-09 09:04:21 +08:00
										 |  |  |     if (!TEST_true(ossl_x448(out, in_scalar1, in_u1)) | 
					
						
							| 
									
										
										
										
											2017-12-13 04:32:19 +08:00
										 |  |  |           || !TEST_int_eq(memcmp(out, out_u1, sizeof(out)), 0) | 
					
						
							| 
									
										
										
										
											2021-03-09 09:04:21 +08:00
										 |  |  |           || !TEST_true(ossl_x448(out, in_scalar2, in_u2)) | 
					
						
							| 
									
										
										
										
											2017-12-13 04:32:19 +08:00
										 |  |  |           || !TEST_int_eq(memcmp(out, out_u2, sizeof(out)), 0)) | 
					
						
							|  |  |  |         return 0; | 
					
						
							| 
									
										
										
										
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										 |  |  | 
 | 
					
						
							|  |  |  |     memcpy(u, in_u3, sizeof(u)); | 
					
						
							|  |  |  |     memcpy(k, in_u3, sizeof(k)); | 
					
						
							|  |  |  |     for (i = 1; i <= max; i++) { | 
					
						
							| 
									
										
										
										
											2017-12-13 04:32:19 +08:00
										 |  |  |         if (verbose && i % 10000 == 0) { | 
					
						
							| 
									
										
										
										
											2017-11-16 19:52:06 +08:00
										 |  |  |             printf("."); | 
					
						
							|  |  |  |             fflush(stdout); | 
					
						
							|  |  |  |         } | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2021-03-09 09:04:21 +08:00
										 |  |  |         if (!TEST_true(ossl_x448(out, k, u))) | 
					
						
							| 
									
										
										
										
											2017-12-13 04:32:19 +08:00
										 |  |  |             return 0; | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-11-16 19:52:06 +08:00
										 |  |  |         if (i == 1 || i == 1000 || i == 1000000) { | 
					
						
							|  |  |  |             j++; | 
					
						
							| 
									
										
										
										
											2017-12-13 04:32:19 +08:00
										 |  |  |             if (!TEST_int_eq(memcmp(out, out_u3[j], sizeof(out)), 0)) { | 
					
						
							|  |  |  |                 TEST_info("Failed at iteration %d", i); | 
					
						
							|  |  |  |                 return 0; | 
					
						
							| 
									
										
										
										
											2017-11-16 19:52:06 +08:00
										 |  |  |             } | 
					
						
							|  |  |  |         } | 
					
						
							|  |  |  |         memcpy(u, k, sizeof(u)); | 
					
						
							|  |  |  |         memcpy(k, out, sizeof(k)); | 
					
						
							|  |  |  |     } | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 04:32:19 +08:00
										 |  |  |     return 1; | 
					
						
							|  |  |  | } | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2018-08-16 10:36:01 +08:00
										 |  |  | typedef enum OPTION_choice { | 
					
						
							|  |  |  |     OPT_ERR = -1, | 
					
						
							|  |  |  |     OPT_EOF = 0, | 
					
						
							|  |  |  |     OPT_PROGRESS, | 
					
						
							|  |  |  |     OPT_SLOW, | 
					
						
							|  |  |  |     OPT_TEST_ENUM | 
					
						
							|  |  |  | } OPTION_CHOICE; | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  | const OPTIONS *test_get_options(void) | 
					
						
							|  |  |  | { | 
					
						
							|  |  |  |     static const OPTIONS test_options[] = { | 
					
						
							|  |  |  |         OPT_TEST_OPTIONS_WITH_EXTRA_USAGE("conf_file\n"), | 
					
						
							|  |  |  |         { "f", OPT_SLOW, '-', "Enables a slow test" }, | 
					
						
							|  |  |  |         { "v", OPT_PROGRESS, '-', | 
					
						
							|  |  |  |               "Enables verbose mode (prints progress dots)" }, | 
					
						
							|  |  |  |         { NULL } | 
					
						
							|  |  |  |     }; | 
					
						
							|  |  |  |     return test_options; | 
					
						
							|  |  |  | } | 
					
						
							|  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 04:32:19 +08:00
										 |  |  | int setup_tests(void) | 
					
						
							|  |  |  | { | 
					
						
							| 
									
										
										
										
											2018-08-16 10:36:01 +08:00
										 |  |  |     OPTION_CHOICE o; | 
					
						
							|  |  |  | 
 | 
					
						
							|  |  |  |     while ((o = opt_next()) != OPT_EOF) { | 
					
						
							|  |  |  |         switch (o) { | 
					
						
							|  |  |  |         case OPT_TEST_CASES: | 
					
						
							|  |  |  |             break; | 
					
						
							|  |  |  |         default: | 
					
						
							|  |  |  |             return 0; | 
					
						
							|  |  |  |         /*
 | 
					
						
							|  |  |  |          * The test vectors contain one test which takes a very long time to run | 
					
						
							|  |  |  |          * so we don't do that be default. Using the -f option will cause it to | 
					
						
							|  |  |  |          * be run. | 
					
						
							|  |  |  |          */ | 
					
						
							|  |  |  |         case OPT_SLOW: | 
					
						
							|  |  |  |             max = 1000000; | 
					
						
							|  |  |  |             break; | 
					
						
							|  |  |  |         case OPT_PROGRESS: | 
					
						
							|  |  |  |             verbose = 1; /* Print progress dots */ | 
					
						
							|  |  |  |             break; | 
					
						
							|  |  |  |         } | 
					
						
							|  |  |  |     } | 
					
						
							| 
									
										
										
										
											2017-11-16 19:52:06 +08:00
										 |  |  | 
 | 
					
						
							| 
									
										
										
										
											2017-12-13 04:32:19 +08:00
										 |  |  |     ADD_TEST(test_x448); | 
					
						
							|  |  |  |     ADD_TEST(test_ed448); | 
					
						
							|  |  |  |     return 1; | 
					
						
							| 
									
										
										
										
											2017-11-16 19:52:06 +08:00
										 |  |  | } |