| // Copyright 2012 The Chromium OS Authors. All rights reserved. |
| // Use of this source code is governed by a BSD-style license that can be |
| // found in the LICENSE file. |
| |
| #include "third_party/chromium/crypto/p224.h" |
| |
| #include <stdio.h> |
| #include <string.h> |
| |
| #include <gtest/gtest.h> |
| |
| namespace crypto { |
| |
| using p224::Point; |
| |
| // kBasePointExternal is the P224 base point in external representation. |
| static const uint8 kBasePointExternal[56] = { |
| 0xb7, 0x0e, 0x0c, 0xbd, 0x6b, 0xb4, 0xbf, 0x7f, |
| 0x32, 0x13, 0x90, 0xb9, 0x4a, 0x03, 0xc1, 0xd3, |
| 0x56, 0xc2, 0x11, 0x22, 0x34, 0x32, 0x80, 0xd6, |
| 0x11, 0x5c, 0x1d, 0x21, 0xbd, 0x37, 0x63, 0x88, |
| 0xb5, 0xf7, 0x23, 0xfb, 0x4c, 0x22, 0xdf, 0xe6, |
| 0xcd, 0x43, 0x75, 0xa0, 0x5a, 0x07, 0x47, 0x64, |
| 0x44, 0xd5, 0x81, 0x99, 0x85, 0x00, 0x7e, 0x34, |
| }; |
| |
| // TestVector represents a test of scalar multiplication of the base point. |
| // |scalar| is a big-endian scalar and |affine| is the external representation |
| // of g*scalar. |
| struct TestVector { |
| uint8 scalar[28]; |
| uint8 affine[28*2]; |
| }; |
| |
| static const int kNumNISTTestVectors = 52; |
| |
| // kNISTTestVectors are the NIST test vectors for P224. |
| static const TestVector kNISTTestVectors[kNumNISTTestVectors] = { |
| { |
| {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, |
| 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, |
| 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, |
| 0x00, 0x00, 0x00, 0x01}, |
| {0xb7, 0x0e, 0x0c, 0xbd, 0x6b, 0xb4, 0xbf, 0x7f, |
| 0x32, 0x13, 0x90, 0xb9, 0x4a, 0x03, 0xc1, 0xd3, |
| 0x56, 0xc2, 0x11, 0x22, 0x34, 0x32, 0x80, 0xd6, |
| 0x11, 0x5c, 0x1d, 0x21, 0xbd, 0x37, 0x63, 0x88, |
| 0xb5, 0xf7, 0x23, 0xfb, 0x4c, 0x22, 0xdf, 0xe6, |
| 0xcd, 0x43, 0x75, 0xa0, 0x5a, 0x07, 0x47, 0x64, |
| 0x44, 0xd5, 0x81, 0x99, 0x85, 0x00, 0x7e, 0x34 |
| }, |
| }, |
| { |
| {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, |
| 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, |
| 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, |
| 0x00, 0x00, 0x00, 0x02, }, |
| |
| {0x70, 0x6a, 0x46, 0xdc, 0x76, 0xdc, 0xb7, 0x67, |
| 0x98, 0xe6, 0x0e, 0x6d, 0x89, 0x47, 0x47, 0x88, |
| 0xd1, 0x6d, 0xc1, 0x80, 0x32, 0xd2, 0x68, 0xfd, |
| 0x1a, 0x70, 0x4f, 0xa6, 0x1c, 0x2b, 0x76, 0xa7, |
| 0xbc, 0x25, 0xe7, 0x70, 0x2a, 0x70, 0x4f, 0xa9, |
| 0x86, 0x89, 0x28, 0x49, 0xfc, 0xa6, 0x29, 0x48, |
| 0x7a, 0xcf, 0x37, 0x09, 0xd2, 0xe4, 0xe8, 0xbb, |
| }, |
| }, |
| { |
| {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, 0x03, }, |
| {0xdf, 0x1b, 0x1d, 0x66, 0xa5, 0x51, 0xd0, 0xd3, |
| 0x1e, 0xff, 0x82, 0x25, 0x58, 0xb9, 0xd2, 0xcc, |
| 0x75, 0xc2, 0x18, 0x02, 0x79, 0xfe, 0x0d, 0x08, |
| 0xfd, 0x89, 0x6d, 0x04, 0xa3, 0xf7, 0xf0, 0x3c, |
| 0xad, 0xd0, 0xbe, 0x44, 0x4c, 0x0a, 0xa5, 0x68, |
| 0x30, 0x13, 0x0d, 0xdf, 0x77, 0xd3, 0x17, 0x34, |
| 0x4e, 0x1a, 0xf3, 0x59, 0x19, 0x81, 0xa9, 0x25, |
| }, |
| }, |
| { |
| {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, 0x04, }, |
| {0xae, 0x99, 0xfe, 0xeb, 0xb5, 0xd2, 0x69, 0x45, |
| 0xb5, 0x48, 0x92, 0x09, 0x2a, 0x8a, 0xee, 0x02, |
| 0x91, 0x29, 0x30, 0xfa, 0x41, 0xcd, 0x11, 0x4e, |
| 0x40, 0x44, 0x73, 0x01, 0x04, 0x82, 0x58, 0x0a, |
| 0x0e, 0xc5, 0xbc, 0x47, 0xe8, 0x8b, 0xc8, 0xc3, |
| 0x78, 0x63, 0x2c, 0xd1, 0x96, 0xcb, 0x3f, 0xa0, |
| 0x58, 0xa7, 0x11, 0x4e, 0xb0, 0x30, 0x54, 0xc9, |
| }, |
| }, |
| { |
| {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, 0x05, }, |
| {0x31, 0xc4, 0x9a, 0xe7, 0x5b, 0xce, 0x78, 0x07, |
| 0xcd, 0xff, 0x22, 0x05, 0x5d, 0x94, 0xee, 0x90, |
| 0x21, 0xfe, 0xdb, 0xb5, 0xab, 0x51, 0xc5, 0x75, |
| 0x26, 0xf0, 0x11, 0xaa, 0x27, 0xe8, 0xbf, 0xf1, |
| 0x74, 0x56, 0x35, 0xec, 0x5b, 0xa0, 0xc9, 0xf1, |
| 0xc2, 0xed, 0xe1, 0x54, 0x14, 0xc6, 0x50, 0x7d, |
| 0x29, 0xff, 0xe3, 0x7e, 0x79, 0x0a, 0x07, 0x9b, |
| }, |
| }, |
| { |
| {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, 0x06, }, |
| {0x1f, 0x24, 0x83, 0xf8, 0x25, 0x72, 0x25, 0x1f, |
| 0xca, 0x97, 0x5f, 0xea, 0x40, 0xdb, 0x82, 0x1d, |
| 0xf8, 0xad, 0x82, 0xa3, 0xc0, 0x02, 0xee, 0x6c, |
| 0x57, 0x11, 0x24, 0x08, 0x89, 0xfa, 0xf0, 0xcc, |
| 0xb7, 0x50, 0xd9, 0x9b, 0x55, 0x3c, 0x57, 0x4f, |
| 0xad, 0x7e, 0xcf, 0xb0, 0x43, 0x85, 0x86, 0xeb, |
| 0x39, 0x52, 0xaf, 0x5b, 0x4b, 0x15, 0x3c, 0x7e, |
| }, |
| }, |
| { |
| {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, 0x07, }, |
| {0xdb, 0x2f, 0x6b, 0xe6, 0x30, 0xe2, 0x46, 0xa5, |
| 0xcf, 0x7d, 0x99, 0xb8, 0x51, 0x94, 0xb1, 0x23, |
| 0xd4, 0x87, 0xe2, 0xd4, 0x66, 0xb9, 0x4b, 0x24, |
| 0xa0, 0x3c, 0x3e, 0x28, 0x0f, 0x3a, 0x30, 0x08, |
| 0x54, 0x97, 0xf2, 0xf6, 0x11, 0xee, 0x25, 0x17, |
| 0xb1, 0x63, 0xef, 0x8c, 0x53, 0xb7, 0x15, 0xd1, |
| 0x8b, 0xb4, 0xe4, 0x80, 0x8d, 0x02, 0xb9, 0x63, |
| }, |
| }, |
| { |
| {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, 0x08, }, |
| {0x85, 0x8e, 0x6f, 0x9c, 0xc6, 0xc1, 0x2c, 0x31, |
| 0xf5, 0xdf, 0x12, 0x4a, 0xa7, 0x77, 0x67, 0xb0, |
| 0x5c, 0x8b, 0xc0, 0x21, 0xbd, 0x68, 0x3d, 0x2b, |
| 0x55, 0x57, 0x15, 0x50, 0x04, 0x6d, 0xcd, 0x3e, |
| 0xa5, 0xc4, 0x38, 0x98, 0xc5, 0xc5, 0xfc, 0x4f, |
| 0xda, 0xc7, 0xdb, 0x39, 0xc2, 0xf0, 0x2e, 0xbe, |
| 0xe4, 0xe3, 0x54, 0x1d, 0x1e, 0x78, 0x04, 0x7a, |
| }, |
| }, |
| { |
| {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, 0x09, }, |
| {0x2f, 0xdc, 0xcc, 0xfe, 0xe7, 0x20, 0xa7, 0x7e, |
| 0xf6, 0xcb, 0x3b, 0xfb, 0xb4, 0x47, 0xf9, 0x38, |
| 0x31, 0x17, 0xe3, 0xda, 0xa4, 0xa0, 0x7e, 0x36, |
| 0xed, 0x15, 0xf7, 0x8d, 0x37, 0x17, 0x32, 0xe4, |
| 0xf4, 0x1b, 0xf4, 0xf7, 0x88, 0x30, 0x35, 0xe6, |
| 0xa7, 0x9f, 0xce, 0xdc, 0x0e, 0x19, 0x6e, 0xb0, |
| 0x7b, 0x48, 0x17, 0x16, 0x97, 0x51, 0x74, 0x63, |
| }, |
| }, |
| { |
| {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, |
| 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, |
| 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, |
| 0x00, 0x00, 0x00, 0x0a, }, |
| {0xae, 0xa9, 0xe1, 0x7a, 0x30, 0x65, 0x17, 0xeb, |
| 0x89, 0x15, 0x2a, 0xa7, 0x09, 0x6d, 0x2c, 0x38, |
| 0x1e, 0xc8, 0x13, 0xc5, 0x1a, 0xa8, 0x80, 0xe7, |
| 0xbe, 0xe2, 0xc0, 0xfd, 0x39, 0xbb, 0x30, 0xea, |
| 0xb3, 0x37, 0xe0, 0xa5, 0x21, 0xb6, 0xcb, 0xa1, |
| 0xab, 0xe4, 0xb2, 0xb3, 0xa3, 0xe5, 0x24, 0xc1, |
| 0x4a, 0x3f, 0xe3, 0xeb, 0x11, 0x6b, 0x65, 0x5f, |
| }, |
| }, |
| { |
| {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, 0x0b, }, |
| {0xef, 0x53, 0xb6, 0x29, 0x4a, 0xca, 0x43, 0x1f, |
| 0x0f, 0x3c, 0x22, 0xdc, 0x82, 0xeb, 0x90, 0x50, |
| 0x32, 0x4f, 0x1d, 0x88, 0xd3, 0x77, 0xe7, 0x16, |
| 0x44, 0x8e, 0x50, 0x7c, 0x20, 0xb5, 0x10, 0x00, |
| 0x40, 0x92, 0xe9, 0x66, 0x36, 0xcf, 0xb7, 0xe3, |
| 0x2e, 0xfd, 0xed, 0x82, 0x65, 0xc2, 0x66, 0xdf, |
| 0xb7, 0x54, 0xfa, 0x6d, 0x64, 0x91, 0xa6, 0xda, |
| }, |
| }, |
| { |
| {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, 0x0c, }, |
| {0x6e, 0x31, 0xee, 0x1d, 0xc1, 0x37, 0xf8, 0x1b, |
| 0x05, 0x67, 0x52, 0xe4, 0xde, 0xab, 0x14, 0x43, |
| 0xa4, 0x81, 0x03, 0x3e, 0x9b, 0x4c, 0x93, 0xa3, |
| 0x04, 0x4f, 0x4f, 0x7a, 0x20, 0x7d, 0xdd, 0xf0, |
| 0x38, 0x5b, 0xfd, 0xea, 0xb6, 0xe9, 0xac, 0xda, |
| 0x8d, 0xa0, 0x6b, 0x3b, 0xbe, 0xf2, 0x24, 0xa9, |
| 0x3a, 0xb1, 0xe9, 0xe0, 0x36, 0x10, 0x9d, 0x13, |
| }, |
| }, |
| { |
| {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, 0x0d, }, |
| {0x34, 0xe8, 0xe1, 0x7a, 0x43, 0x0e, 0x43, 0x28, |
| 0x97, 0x93, 0xc3, 0x83, 0xfa, 0xc9, 0x77, 0x42, |
| 0x47, 0xb4, 0x0e, 0x9e, 0xbd, 0x33, 0x66, 0x98, |
| 0x1f, 0xcf, 0xae, 0xca, 0x25, 0x28, 0x19, 0xf7, |
| 0x1c, 0x7f, 0xb7, 0xfb, 0xcb, 0x15, 0x9b, 0xe3, |
| 0x37, 0xd3, 0x7d, 0x33, 0x36, 0xd7, 0xfe, 0xb9, |
| 0x63, 0x72, 0x4f, 0xdf, 0xb0, 0xec, 0xb7, 0x67, |
| }, |
| }, |
| { |
| {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, 0x0e, }, |
| {0xa5, 0x36, 0x40, 0xc8, 0x3d, 0xc2, 0x08, 0x60, |
| 0x3d, 0xed, 0x83, 0xe4, 0xec, 0xf7, 0x58, 0xf2, |
| 0x4c, 0x35, 0x7d, 0x7c, 0xf4, 0x80, 0x88, 0xb2, |
| 0xce, 0x01, 0xe9, 0xfa, 0xd5, 0x81, 0x4c, 0xd7, |
| 0x24, 0x19, 0x9c, 0x4a, 0x5b, 0x97, 0x4a, 0x43, |
| 0x68, 0x5f, 0xbf, 0x5b, 0x8b, 0xac, 0x69, 0x45, |
| 0x9c, 0x94, 0x69, 0xbc, 0x8f, 0x23, 0xcc, 0xaf, |
| }, |
| }, |
| { |
| {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, 0x0f, }, |
| {0xba, 0xa4, 0xd8, 0x63, 0x55, 0x11, 0xa7, 0xd2, |
| 0x88, 0xae, 0xbe, 0xed, 0xd1, 0x2c, 0xe5, 0x29, |
| 0xff, 0x10, 0x2c, 0x91, 0xf9, 0x7f, 0x86, 0x7e, |
| 0x21, 0x91, 0x6b, 0xf9, 0x97, 0x9a, 0x5f, 0x47, |
| 0x59, 0xf8, 0x0f, 0x4f, 0xb4, 0xec, 0x2e, 0x34, |
| 0xf5, 0x56, 0x6d, 0x59, 0x56, 0x80, 0xa1, 0x17, |
| 0x35, 0xe7, 0xb6, 0x10, 0x46, 0x12, 0x79, 0x89, |
| }, |
| }, |
| { |
| {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, 0x10, }, |
| {0x0b, 0x6e, 0xc4, 0xfe, 0x17, 0x77, 0x38, 0x24, |
| 0x04, 0xef, 0x67, 0x99, 0x97, 0xba, 0x8d, 0x1c, |
| 0xc5, 0xcd, 0x8e, 0x85, 0x34, 0x92, 0x59, 0xf5, |
| 0x90, 0xc4, 0xc6, 0x6d, 0x33, 0x99, 0xd4, 0x64, |
| 0x34, 0x59, 0x06, 0xb1, 0x1b, 0x00, 0xe3, 0x63, |
| 0xef, 0x42, 0x92, 0x21, 0xf2, 0xec, 0x72, 0x0d, |
| 0x2f, 0x66, 0x5d, 0x7d, 0xea, 0xd5, 0xb4, 0x82, |
| }, |
| }, |
| { |
| {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, 0x11, }, |
| {0xb8, 0x35, 0x7c, 0x3a, 0x6c, 0xee, 0xf2, 0x88, |
| 0x31, 0x0e, 0x17, 0xb8, 0xbf, 0xef, 0xf9, 0x20, |
| 0x08, 0x46, 0xca, 0x8c, 0x19, 0x42, 0x49, 0x7c, |
| 0x48, 0x44, 0x03, 0xbc, 0xff, 0x14, 0x9e, 0xfa, |
| 0x66, 0x06, 0xa6, 0xbd, 0x20, 0xef, 0x7d, 0x1b, |
| 0x06, 0xbd, 0x92, 0xf6, 0x90, 0x46, 0x39, 0xdc, |
| 0xe5, 0x17, 0x4d, 0xb6, 0xcc, 0x55, 0x4a, 0x26, |
| }, |
| }, |
| { |
| {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, 0x12, }, |
| {0xc9, 0xff, 0x61, 0xb0, 0x40, 0x87, 0x4c, 0x05, |
| 0x68, 0x47, 0x92, 0x16, 0x82, 0x4a, 0x15, 0xea, |
| 0xb1, 0xa8, 0x38, 0xa7, 0x97, 0xd1, 0x89, 0x74, |
| 0x62, 0x26, 0xe4, 0xcc, 0xea, 0x98, 0xd6, 0x0e, |
| 0x5f, 0xfc, 0x9b, 0x8f, 0xcf, 0x99, 0x9f, 0xab, |
| 0x1d, 0xf7, 0xe7, 0xef, 0x70, 0x84, 0xf2, 0x0d, |
| 0xdb, 0x61, 0xbb, 0x04, 0x5a, 0x6c, 0xe0, 0x02, |
| }, |
| }, |
| { |
| {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, 0x13, }, |
| {0xa1, 0xe8, 0x1c, 0x04, 0xf3, 0x0c, 0xe2, 0x01, |
| 0xc7, 0xc9, 0xac, 0xe7, 0x85, 0xed, 0x44, 0xcc, |
| 0x33, 0xb4, 0x55, 0xa0, 0x22, 0xf2, 0xac, 0xdb, |
| 0xc6, 0xca, 0xe8, 0x3c, 0xdc, 0xf1, 0xf6, 0xc3, |
| 0xdb, 0x09, 0xc7, 0x0a, 0xcc, 0x25, 0x39, 0x1d, |
| 0x49, 0x2f, 0xe2, 0x5b, 0x4a, 0x18, 0x0b, 0xab, |
| 0xd6, 0xce, 0xa3, 0x56, 0xc0, 0x47, 0x19, 0xcd, |
| }, |
| }, |
| { |
| {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, 0x14, }, |
| {0xfc, 0xc7, 0xf2, 0xb4, 0x5d, 0xf1, 0xcd, 0x5a, |
| 0x3c, 0x0c, 0x07, 0x31, 0xca, 0x47, 0xa8, 0xaf, |
| 0x75, 0xcf, 0xb0, 0x34, 0x7e, 0x83, 0x54, 0xee, |
| 0xfe, 0x78, 0x24, 0x55, 0x0d, 0x5d, 0x71, 0x10, |
| 0x27, 0x4c, 0xba, 0x7c, 0xde, 0xe9, 0x0e, 0x1a, |
| 0x8b, 0x0d, 0x39, 0x4c, 0x37, 0x6a, 0x55, 0x73, |
| 0xdb, 0x6b, 0xe0, 0xbf, 0x27, 0x47, 0xf5, 0x30, |
| }, |
| }, |
| { |
| {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, |
| 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, |
| 0x00, 0x00, 0x00, 0x00, 0x01, 0x8e, 0xbb, 0xb9, |
| 0x5e, 0xed, 0x0e, 0x13, }, |
| {0x61, 0xf0, 0x77, 0xc6, 0xf6, 0x2e, 0xd8, 0x02, |
| 0xda, 0xd7, 0xc2, 0xf3, 0x8f, 0x5c, 0x67, 0xf2, |
| 0xcc, 0x45, 0x36, 0x01, 0xe6, 0x1b, 0xd0, 0x76, |
| 0xbb, 0x46, 0x17, 0x9e, 0x22, 0x72, 0xf9, 0xe9, |
| 0xf5, 0x93, 0x3e, 0x70, 0x38, 0x8e, 0xe6, 0x52, |
| 0x51, 0x34, 0x43, 0xb5, 0xe2, 0x89, 0xdd, 0x13, |
| 0x5d, 0xcc, 0x0d, 0x02, 0x99, 0xb2, 0x25, 0xe4, |
| }, |
| }, |
| { |
| {0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, |
| 0x00, 0x00, 0x00, 0x00, 0x00, 0x15, 0x9d, 0x89, |
| 0x3d, 0x4c, 0xdd, 0x74, 0x72, 0x46, 0xcd, 0xca, |
| 0x43, 0x59, 0x0e, 0x13, }, |
| {0x02, 0x98, 0x95, 0xf0, 0xaf, 0x49, 0x6b, 0xfc, |
| 0x62, 0xb6, 0xef, 0x8d, 0x8a, 0x65, 0xc8, 0x8c, |
| 0x61, 0x39, 0x49, 0xb0, 0x36, 0x68, 0xaa, 0xb4, |
| 0xf0, 0x42, 0x9e, 0x35, 0x3e, 0xa6, 0xe5, 0x3f, |
| 0x9a, 0x84, 0x1f, 0x20, 0x19, 0xec, 0x24, 0xbd, |
| 0xe1, 0xa7, 0x56, 0x77, 0xaa, 0x9b, 0x59, 0x02, |
| 0xe6, 0x10, 0x81, 0xc0, 0x10, 0x64, 0xde, 0x93, |
| }, |
| }, |
| { |
| {0x41, 0xff, 0xc1, 0xff, 0xff, 0xfe, 0x01, 0xff, |
| 0xfc, 0x00, 0x03, 0xff, 0xfe, 0x00, 0x07, 0xc0, |
| 0x01, 0xff, 0xf0, 0x00, 0x03, 0xff, 0xf0, 0x7f, |
| 0xfe, 0x00, 0x07, 0xc0, }, |
| {0xab, 0x68, 0x99, 0x30, 0xbc, 0xae, 0x4a, 0x4a, |
| 0xa5, 0xf5, 0xcb, 0x08, 0x5e, 0x82, 0x3e, 0x8a, |
| 0xe3, 0x0f, 0xd3, 0x65, 0xeb, 0x1d, 0xa4, 0xab, |
| 0xa9, 0xcf, 0x03, 0x79, 0x33, 0x45, 0xa1, 0x21, |
| 0xbb, 0xd2, 0x33, 0x54, 0x8a, 0xf0, 0xd2, 0x10, |
| 0x65, 0x4e, 0xb4, 0x0b, 0xab, 0x78, 0x8a, 0x03, |
| 0x66, 0x64, 0x19, 0xbe, 0x6f, 0xbd, 0x34, 0xe7, |
| }, |
| }, |
| { |
| {0x7f, 0xff, 0xff, 0xc0, 0x3f, 0xff, 0xc0, 0x03, |
| 0xff, 0xff, 0xfc, 0x00, 0x7f, 0xff, 0x00, 0x00, |
| 0x00, 0x00, 0x07, 0x00, 0x00, 0x10, 0x00, 0x00, |
| 0x00, 0x0e, 0x00, 0xff, }, |
| {0xbd, 0xb6, 0xa8, 0x81, 0x7c, 0x1f, 0x89, 0xda, |
| 0x1c, 0x2f, 0x3d, 0xd8, 0xe9, 0x7f, 0xeb, 0x44, |
| 0x94, 0xf2, 0xed, 0x30, 0x2a, 0x4c, 0xe2, 0xbc, |
| 0x7f, 0x5f, 0x40, 0x25, 0x4c, 0x70, 0x20, 0xd5, |
| 0x7c, 0x00, 0x41, 0x18, 0x89, 0x46, 0x2d, 0x77, |
| 0xa5, 0x43, 0x8b, 0xb4, 0xe9, 0x7d, 0x17, 0x77, |
| 0x00, 0xbf, 0x72, 0x43, 0xa0, 0x7f, 0x16, 0x80, |
| }, |
| }, |
| { |
| {0x7f, 0xff, 0xff, 0x04, 0x00, 0x00, 0x00, 0x00, |
| 0xff, 0xff, 0xf0, 0x1f, 0xff, 0xf8, 0xff, 0xff, |
| 0xc0, 0x0f, 0xff, 0xff, 0xff, 0xff, 0xc0, 0x00, |
| 0x00, 0x0f, 0xff, 0xff, }, |
| {0xd5, 0x8b, 0x61, 0xaa, 0x41, 0xc3, 0x2d, 0xd5, |
| 0xeb, 0xa4, 0x62, 0x64, 0x7d, 0xba, 0x75, 0xc5, |
| 0xd6, 0x7c, 0x83, 0x60, 0x6c, 0x0a, 0xf2, 0xbd, |
| 0x92, 0x84, 0x46, 0xa9, 0xd2, 0x4b, 0xa6, 0xa8, |
| 0x37, 0xbe, 0x04, 0x60, 0xdd, 0x10, 0x7a, 0xe7, |
| 0x77, 0x25, 0x69, 0x6d, 0x21, 0x14, 0x46, 0xc5, |
| 0x60, 0x9b, 0x45, 0x95, 0x97, 0x6b, 0x16, 0xbd, |
| }, |
| }, |
| { |
| {0x7f, 0xff, 0xff, 0xc0, 0x00, 0xff, 0xfe, 0x3f, |
| 0xff, 0xfc, 0x10, 0x00, 0x00, 0x20, 0x00, 0x3f, |
| 0xff, 0xff, 0x00, 0x00, 0x00, 0xfc, 0x00, 0x00, |
| 0x3f, 0xff, 0xff, 0xff, }, |
| {0xdc, 0x9f, 0xa7, 0x79, 0x78, 0xa0, 0x05, 0x51, |
| 0x09, 0x80, 0xe9, 0x29, 0xa1, 0x48, 0x5f, 0x63, |
| 0x71, 0x6d, 0xf6, 0x95, 0xd7, 0xa0, 0xc1, 0x8b, |
| 0xb5, 0x18, 0xdf, 0x03, 0xed, 0xe2, 0xb0, 0x16, |
| 0xf2, 0xdd, 0xff, 0xc2, 0xa8, 0xc0, 0x15, 0xb1, |
| 0x34, 0x92, 0x82, 0x75, 0xce, 0x09, 0xe5, 0x66, |
| 0x1b, 0x7a, 0xb1, 0x4c, 0xe0, 0xd1, 0xd4, 0x03, |
| }, |
| }, |
| { |
| {0x70, 0x01, 0xf0, 0x00, 0x1c, 0x00, 0x01, 0xc0, |
| 0x00, 0x00, 0x1f, 0xff, 0xff, 0xfc, 0x00, 0x00, |
| 0x1f, 0xff, 0xff, 0xf8, 0x00, 0x0f, 0xc0, 0x00, |
| 0x00, 0x01, 0xfc, 0x00, }, |
| {0x49, 0x9d, 0x8b, 0x28, 0x29, 0xcf, 0xb8, 0x79, |
| 0xc9, 0x01, 0xf7, 0xd8, 0x5d, 0x35, 0x70, 0x45, |
| 0xed, 0xab, 0x55, 0x02, 0x88, 0x24, 0xd0, 0xf0, |
| 0x5b, 0xa2, 0x79, 0xba, 0xbf, 0x92, 0x95, 0x37, |
| 0xb0, 0x6e, 0x40, 0x15, 0x91, 0x96, 0x39, 0xd9, |
| 0x4f, 0x57, 0x83, 0x8f, 0xa3, 0x3f, 0xc3, 0xd9, |
| 0x52, 0x59, 0x8d, 0xcd, 0xbb, 0x44, 0xd6, 0x38, |
| }, |
| }, |
| { |
| {0x00, 0x00, 0x00, 0x00, 0x1f, 0xfc, 0x00, 0x00, |
| 0x00, 0xff, 0xf0, 0x30, 0x00, 0x1f, 0x00, 0x00, |
| 0xff, 0xff, 0xf0, 0x00, 0x00, 0x38, 0x00, 0x00, |
| 0x00, 0x00, 0x00, 0x02, }, |
| {0x82, 0x46, 0xc9, 0x99, 0x13, 0x71, 0x86, 0x63, |
| 0x2c, 0x5f, 0x9e, 0xdd, 0xf3, 0xb1, 0xb0, 0xe1, |
| 0x76, 0x4c, 0x5e, 0x8b, 0xd0, 0xe0, 0xd8, 0xa5, |
| 0x54, 0xb9, 0xcb, 0x77, 0xe8, 0x0e, 0xd8, 0x66, |
| 0x0b, 0xc1, 0xcb, 0x17, 0xac, 0x7d, 0x84, 0x5b, |
| 0xe4, 0x0a, 0x7a, 0x02, 0x2d, 0x33, 0x06, 0xf1, |
| 0x16, 0xae, 0x9f, 0x81, 0xfe, 0xa6, 0x59, 0x47, |
| }, |
| }, |
| { |
| {0x7f, 0xff, 0x80, 0x00, 0x00, 0x00, 0x00, 0x00, |
| 0x07, 0xff, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, |
| 0x00, 0x00, 0xff, 0xfe, 0x08, 0x00, 0x00, 0x1f, |
| 0xf0, 0x00, 0x1f, 0xff, }, |
| {0x66, 0x70, 0xc2, 0x0a, 0xfc, 0xce, 0xae, 0xa6, |
| 0x72, 0xc9, 0x7f, 0x75, 0xe2, 0xe9, 0xdd, 0x5c, |
| 0x84, 0x60, 0xe5, 0x4b, 0xb3, 0x85, 0x38, 0xeb, |
| 0xb4, 0xbd, 0x30, 0xeb, 0xf2, 0x80, 0xd8, 0x00, |
| 0x8d, 0x07, 0xa4, 0xca, 0xf5, 0x42, 0x71, 0xf9, |
| 0x93, 0x52, 0x7d, 0x46, 0xff, 0x3f, 0xf4, 0x6f, |
| 0xd1, 0x19, 0x0a, 0x3f, 0x1f, 0xaa, 0x4f, 0x74, |
| }, |
| }, |
| { |
| {0x00, 0x00, 0x7f, 0xff, 0xff, 0xff, 0xff, 0xff, |
| 0xff, 0xc0, 0x00, 0x07, 0xff, 0xff, 0xe0, 0xff, |
| 0xff, 0xff, 0xff, 0xff, 0xff, 0xf8, 0x00, 0xff, |
| 0xff, 0xff, 0xff, 0xff, }, |
| {0x00, 0x0e, 0xca, 0x93, 0x42, 0x47, 0x42, 0x5c, |
| 0xfd, 0x94, 0x9b, 0x79, 0x5c, 0xb5, 0xce, 0x1e, |
| 0xff, 0x40, 0x15, 0x50, 0x38, 0x6e, 0x28, 0xd1, |
| 0xa4, 0xc5, 0xa8, 0xeb, 0xd4, 0xc0, 0x10, 0x40, |
| 0xdb, 0xa1, 0x96, 0x28, 0x93, 0x1b, 0xc8, 0x85, |
| 0x53, 0x70, 0x31, 0x7c, 0x72, 0x2c, 0xbd, 0x9c, |
| 0xa6, 0x15, 0x69, 0x85, 0xf1, 0xc2, 0xe9, 0xce, |
| }, |
| }, |
| { |
| {0x7f, 0xff, 0xfc, 0x03, 0xff, 0x80, 0x7f, 0xff, |
| 0xe0, 0x00, 0x1f, 0xff, 0xff, 0x80, 0x0f, 0xff, |
| 0x80, 0x00, 0x01, 0xff, 0xff, 0x00, 0x01, 0xff, |
| 0xff, 0xfe, 0x00, 0x1f, }, |
| {0xef, 0x35, 0x3b, 0xf5, 0xc7, 0x3c, 0xd5, 0x51, |
| 0xb9, 0x6d, 0x59, 0x6f, 0xbc, 0x9a, 0x67, 0xf1, |
| 0x6d, 0x61, 0xdd, 0x9f, 0xe5, 0x6a, 0xf1, 0x9d, |
| 0xe1, 0xfb, 0xa9, 0xcd, 0x21, 0x77, 0x1b, 0x9c, |
| 0xdc, 0xe3, 0xe8, 0x43, 0x0c, 0x09, 0xb3, 0x83, |
| 0x8b, 0xe7, 0x0b, 0x48, 0xc2, 0x1e, 0x15, 0xbc, |
| 0x09, 0xee, 0x1f, 0x2d, 0x79, 0x45, 0xb9, 0x1f, |
| }, |
| }, |
| { |
| {0x00, 0x00, 0x00, 0x07, 0xff, 0xc0, 0x7f, 0xff, |
| 0xff, 0xff, 0x01, 0xff, 0xfe, 0x03, 0xff, 0xfe, |
| 0x40, 0x00, 0x38, 0x00, 0x07, 0xe0, 0x00, 0x3f, |
| 0xfe, 0x00, 0x00, 0x00, }, |
| {0x40, 0x36, 0x05, 0x2a, 0x30, 0x91, 0xeb, 0x48, |
| 0x10, 0x46, 0xad, 0x32, 0x89, 0xc9, 0x5d, 0x3a, |
| 0xc9, 0x05, 0xca, 0x00, 0x23, 0xde, 0x2c, 0x03, |
| 0xec, 0xd4, 0x51, 0xcf, 0xd7, 0x68, 0x16, 0x5a, |
| 0x38, 0xa2, 0xb9, 0x6f, 0x81, 0x25, 0x86, 0xa9, |
| 0xd5, 0x9d, 0x41, 0x36, 0x03, 0x5d, 0x9c, 0x85, |
| 0x3a, 0x5b, 0xf2, 0xe1, 0xc8, 0x6a, 0x49, 0x93, |
| }, |
| }, |
| { |
| {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
| 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x16, 0xa2, |
| 0xe0, 0xb8, 0xf0, 0x3e, 0x13, 0xdd, 0x29, 0x45, |
| 0x5c, 0x5c, 0x2a, 0x29, }, |
| {0xfc, 0xc7, 0xf2, 0xb4, 0x5d, 0xf1, 0xcd, 0x5a, |
| 0x3c, 0x0c, 0x07, 0x31, 0xca, 0x47, 0xa8, 0xaf, |
| 0x75, 0xcf, 0xb0, 0x34, 0x7e, 0x83, 0x54, 0xee, |
| 0xfe, 0x78, 0x24, 0x55, 0xf2, 0xa2, 0x8e, 0xef, |
| 0xd8, 0xb3, 0x45, 0x83, 0x21, 0x16, 0xf1, 0xe5, |
| 0x74, 0xf2, 0xc6, 0xb2, 0xc8, 0x95, 0xaa, 0x8c, |
| 0x24, 0x94, 0x1f, 0x40, 0xd8, 0xb8, 0x0a, 0xd1, |
| }, |
| }, |
| { |
| {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
| 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x16, 0xa2, |
| 0xe0, 0xb8, 0xf0, 0x3e, 0x13, 0xdd, 0x29, 0x45, |
| 0x5c, 0x5c, 0x2a, 0x2a, }, |
| {0xa1, 0xe8, 0x1c, 0x04, 0xf3, 0x0c, 0xe2, 0x01, |
| 0xc7, 0xc9, 0xac, 0xe7, 0x85, 0xed, 0x44, 0xcc, |
| 0x33, 0xb4, 0x55, 0xa0, 0x22, 0xf2, 0xac, 0xdb, |
| 0xc6, 0xca, 0xe8, 0x3c, 0x23, 0x0e, 0x09, 0x3c, |
| 0x24, 0xf6, 0x38, 0xf5, 0x33, 0xda, 0xc6, 0xe2, |
| 0xb6, 0xd0, 0x1d, 0xa3, 0xb5, 0xe7, 0xf4, 0x54, |
| 0x29, 0x31, 0x5c, 0xa9, 0x3f, 0xb8, 0xe6, 0x34, |
| }, |
| }, |
| { |
| {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
| 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x16, 0xa2, |
| 0xe0, 0xb8, 0xf0, 0x3e, 0x13, 0xdd, 0x29, 0x45, |
| 0x5c, 0x5c, 0x2a, 0x2b, }, |
| {0xc9, 0xff, 0x61, 0xb0, 0x40, 0x87, 0x4c, 0x05, |
| 0x68, 0x47, 0x92, 0x16, 0x82, 0x4a, 0x15, 0xea, |
| 0xb1, 0xa8, 0x38, 0xa7, 0x97, 0xd1, 0x89, 0x74, |
| 0x62, 0x26, 0xe4, 0xcc, 0x15, 0x67, 0x29, 0xf1, |
| 0xa0, 0x03, 0x64, 0x70, 0x30, 0x66, 0x60, 0x54, |
| 0xe2, 0x08, 0x18, 0x0f, 0x8f, 0x7b, 0x0d, 0xf2, |
| 0x24, 0x9e, 0x44, 0xfb, 0xa5, 0x93, 0x1f, 0xff, |
| }, |
| }, |
| { |
| {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
| 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x16, 0xa2, |
| 0xe0, 0xb8, 0xf0, 0x3e, 0x13, 0xdd, 0x29, 0x45, |
| 0x5c, 0x5c, 0x2a, 0x2c, }, |
| {0xb8, 0x35, 0x7c, 0x3a, 0x6c, 0xee, 0xf2, 0x88, |
| 0x31, 0x0e, 0x17, 0xb8, 0xbf, 0xef, 0xf9, 0x20, |
| 0x08, 0x46, 0xca, 0x8c, 0x19, 0x42, 0x49, 0x7c, |
| 0x48, 0x44, 0x03, 0xbc, 0x00, 0xeb, 0x61, 0x05, |
| 0x99, 0xf9, 0x59, 0x42, 0xdf, 0x10, 0x82, 0xe4, |
| 0xf9, 0x42, 0x6d, 0x08, 0x6f, 0xb9, 0xc6, 0x23, |
| 0x1a, 0xe8, 0xb2, 0x49, 0x33, 0xaa, 0xb5, 0xdb, |
| }, |
| }, |
| { |
| {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
| 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x16, 0xa2, |
| 0xe0, 0xb8, 0xf0, 0x3e, 0x13, 0xdd, 0x29, 0x45, |
| 0x5c, 0x5c, 0x2a, 0x2d, }, |
| {0x0b, 0x6e, 0xc4, 0xfe, 0x17, 0x77, 0x38, 0x24, |
| 0x04, 0xef, 0x67, 0x99, 0x97, 0xba, 0x8d, 0x1c, |
| 0xc5, 0xcd, 0x8e, 0x85, 0x34, 0x92, 0x59, 0xf5, |
| 0x90, 0xc4, 0xc6, 0x6d, 0xcc, 0x66, 0x2b, 0x9b, |
| 0xcb, 0xa6, 0xf9, 0x4e, 0xe4, 0xff, 0x1c, 0x9c, |
| 0x10, 0xbd, 0x6d, 0xdd, 0x0d, 0x13, 0x8d, 0xf2, |
| 0xd0, 0x99, 0xa2, 0x82, 0x15, 0x2a, 0x4b, 0x7f, |
| }, |
| }, |
| { |
| {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
| 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x16, 0xa2, |
| 0xe0, 0xb8, 0xf0, 0x3e, 0x13, 0xdd, 0x29, 0x45, |
| 0x5c, 0x5c, 0x2a, 0x2e, }, |
| {0xba, 0xa4, 0xd8, 0x63, 0x55, 0x11, 0xa7, 0xd2, |
| 0x88, 0xae, 0xbe, 0xed, 0xd1, 0x2c, 0xe5, 0x29, |
| 0xff, 0x10, 0x2c, 0x91, 0xf9, 0x7f, 0x86, 0x7e, |
| 0x21, 0x91, 0x6b, 0xf9, 0x68, 0x65, 0xa0, 0xb8, |
| 0xa6, 0x07, 0xf0, 0xb0, 0x4b, 0x13, 0xd1, 0xcb, |
| 0x0a, 0xa9, 0x92, 0xa5, 0xa9, 0x7f, 0x5e, 0xe8, |
| 0xca, 0x18, 0x49, 0xef, 0xb9, 0xed, 0x86, 0x78, |
| }, |
| }, |
| { |
| {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
| 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x16, 0xa2, |
| 0xe0, 0xb8, 0xf0, 0x3e, 0x13, 0xdd, 0x29, 0x45, |
| 0x5c, 0x5c, 0x2a, 0x2f, }, |
| {0xa5, 0x36, 0x40, 0xc8, 0x3d, 0xc2, 0x08, 0x60, |
| 0x3d, 0xed, 0x83, 0xe4, 0xec, 0xf7, 0x58, 0xf2, |
| 0x4c, 0x35, 0x7d, 0x7c, 0xf4, 0x80, 0x88, 0xb2, |
| 0xce, 0x01, 0xe9, 0xfa, 0x2a, 0x7e, 0xb3, 0x28, |
| 0xdb, 0xe6, 0x63, 0xb5, 0xa4, 0x68, 0xb5, 0xbc, |
| 0x97, 0xa0, 0x40, 0xa3, 0x74, 0x53, 0x96, 0xba, |
| 0x63, 0x6b, 0x96, 0x43, 0x70, 0xdc, 0x33, 0x52, |
| }, |
| }, |
| { |
| {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
| 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x16, 0xa2, |
| 0xe0, 0xb8, 0xf0, 0x3e, 0x13, 0xdd, 0x29, 0x45, |
| 0x5c, 0x5c, 0x2a, 0x30, }, |
| {0x34, 0xe8, 0xe1, 0x7a, 0x43, 0x0e, 0x43, 0x28, |
| 0x97, 0x93, 0xc3, 0x83, 0xfa, 0xc9, 0x77, 0x42, |
| 0x47, 0xb4, 0x0e, 0x9e, 0xbd, 0x33, 0x66, 0x98, |
| 0x1f, 0xcf, 0xae, 0xca, 0xda, 0xd7, 0xe6, 0x08, |
| 0xe3, 0x80, 0x48, 0x04, 0x34, 0xea, 0x64, 0x1c, |
| 0xc8, 0x2c, 0x82, 0xcb, 0xc9, 0x28, 0x01, 0x46, |
| 0x9c, 0x8d, 0xb0, 0x20, 0x4f, 0x13, 0x48, 0x9a, |
| }, |
| }, |
| { |
| {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
| 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x16, 0xa2, |
| 0xe0, 0xb8, 0xf0, 0x3e, 0x13, 0xdd, 0x29, 0x45, |
| 0x5c, 0x5c, 0x2a, 0x31, }, |
| {0x6e, 0x31, 0xee, 0x1d, 0xc1, 0x37, 0xf8, 0x1b, |
| 0x05, 0x67, 0x52, 0xe4, 0xde, 0xab, 0x14, 0x43, |
| 0xa4, 0x81, 0x03, 0x3e, 0x9b, 0x4c, 0x93, 0xa3, |
| 0x04, 0x4f, 0x4f, 0x7a, 0xdf, 0x82, 0x22, 0x0f, |
| 0xc7, 0xa4, 0x02, 0x15, 0x49, 0x16, 0x53, 0x25, |
| 0x72, 0x5f, 0x94, 0xc3, 0x41, 0x0d, 0xdb, 0x56, |
| 0xc5, 0x4e, 0x16, 0x1f, 0xc9, 0xef, 0x62, 0xee, |
| }, |
| }, |
| { |
| {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
| 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x16, 0xa2, |
| 0xe0, 0xb8, 0xf0, 0x3e, 0x13, 0xdd, 0x29, 0x45, |
| 0x5c, 0x5c, 0x2a, 0x32, }, |
| {0xef, 0x53, 0xb6, 0x29, 0x4a, 0xca, 0x43, 0x1f, |
| 0x0f, 0x3c, 0x22, 0xdc, 0x82, 0xeb, 0x90, 0x50, |
| 0x32, 0x4f, 0x1d, 0x88, 0xd3, 0x77, 0xe7, 0x16, |
| 0x44, 0x8e, 0x50, 0x7c, 0xdf, 0x4a, 0xef, 0xff, |
| 0xbf, 0x6d, 0x16, 0x99, 0xc9, 0x30, 0x48, 0x1c, |
| 0xd1, 0x02, 0x12, 0x7c, 0x9a, 0x3d, 0x99, 0x20, |
| 0x48, 0xab, 0x05, 0x92, 0x9b, 0x6e, 0x59, 0x27, |
| }, |
| }, |
| { |
| {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
| 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x16, 0xa2, |
| 0xe0, 0xb8, 0xf0, 0x3e, 0x13, 0xdd, 0x29, 0x45, |
| 0x5c, 0x5c, 0x2a, 0x33, }, |
| {0xae, 0xa9, 0xe1, 0x7a, 0x30, 0x65, 0x17, 0xeb, |
| 0x89, 0x15, 0x2a, 0xa7, 0x09, 0x6d, 0x2c, 0x38, |
| 0x1e, 0xc8, 0x13, 0xc5, 0x1a, 0xa8, 0x80, 0xe7, |
| 0xbe, 0xe2, 0xc0, 0xfd, 0xc6, 0x44, 0xcf, 0x15, |
| 0x4c, 0xc8, 0x1f, 0x5a, 0xde, 0x49, 0x34, 0x5e, |
| 0x54, 0x1b, 0x4d, 0x4b, 0x5c, 0x1a, 0xdb, 0x3e, |
| 0xb5, 0xc0, 0x1c, 0x14, 0xee, 0x94, 0x9a, 0xa2, |
| }, |
| }, |
| { |
| {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
| 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x16, 0xa2, |
| 0xe0, 0xb8, 0xf0, 0x3e, 0x13, 0xdd, 0x29, 0x45, |
| 0x5c, 0x5c, 0x2a, 0x34, }, |
| {0x2f, 0xdc, 0xcc, 0xfe, 0xe7, 0x20, 0xa7, 0x7e, |
| 0xf6, 0xcb, 0x3b, 0xfb, 0xb4, 0x47, 0xf9, 0x38, |
| 0x31, 0x17, 0xe3, 0xda, 0xa4, 0xa0, 0x7e, 0x36, |
| 0xed, 0x15, 0xf7, 0x8d, 0xc8, 0xe8, 0xcd, 0x1b, |
| 0x0b, 0xe4, 0x0b, 0x08, 0x77, 0xcf, 0xca, 0x19, |
| 0x58, 0x60, 0x31, 0x22, 0xf1, 0xe6, 0x91, 0x4f, |
| 0x84, 0xb7, 0xe8, 0xe9, 0x68, 0xae, 0x8b, 0x9e, |
| }, |
| }, |
| { |
| {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
| 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x16, 0xa2, |
| 0xe0, 0xb8, 0xf0, 0x3e, 0x13, 0xdd, 0x29, 0x45, |
| 0x5c, 0x5c, 0x2a, 0x35, }, |
| {0x85, 0x8e, 0x6f, 0x9c, 0xc6, 0xc1, 0x2c, 0x31, |
| 0xf5, 0xdf, 0x12, 0x4a, 0xa7, 0x77, 0x67, 0xb0, |
| 0x5c, 0x8b, 0xc0, 0x21, 0xbd, 0x68, 0x3d, 0x2b, |
| 0x55, 0x57, 0x15, 0x50, 0xfb, 0x92, 0x32, 0xc1, |
| 0x5a, 0x3b, 0xc7, 0x67, 0x3a, 0x3a, 0x03, 0xb0, |
| 0x25, 0x38, 0x24, 0xc5, 0x3d, 0x0f, 0xd1, 0x41, |
| 0x1b, 0x1c, 0xab, 0xe2, 0xe1, 0x87, 0xfb, 0x87, |
| }, |
| }, |
| { |
| {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
| 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x16, 0xa2, |
| 0xe0, 0xb8, 0xf0, 0x3e, 0x13, 0xdd, 0x29, 0x45, |
| 0x5c, 0x5c, 0x2a, 0x36, }, |
| {0xdb, 0x2f, 0x6b, 0xe6, 0x30, 0xe2, 0x46, 0xa5, |
| 0xcf, 0x7d, 0x99, 0xb8, 0x51, 0x94, 0xb1, 0x23, |
| 0xd4, 0x87, 0xe2, 0xd4, 0x66, 0xb9, 0x4b, 0x24, |
| 0xa0, 0x3c, 0x3e, 0x28, 0xf0, 0xc5, 0xcf, 0xf7, |
| 0xab, 0x68, 0x0d, 0x09, 0xee, 0x11, 0xda, 0xe8, |
| 0x4e, 0x9c, 0x10, 0x72, 0xac, 0x48, 0xea, 0x2e, |
| 0x74, 0x4b, 0x1b, 0x7f, 0x72, 0xfd, 0x46, 0x9e, |
| }, |
| }, |
| { |
| {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
| 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x16, 0xa2, |
| 0xe0, 0xb8, 0xf0, 0x3e, 0x13, 0xdd, 0x29, 0x45, |
| 0x5c, 0x5c, 0x2a, 0x37, }, |
| {0x1f, 0x24, 0x83, 0xf8, 0x25, 0x72, 0x25, 0x1f, |
| 0xca, 0x97, 0x5f, 0xea, 0x40, 0xdb, 0x82, 0x1d, |
| 0xf8, 0xad, 0x82, 0xa3, 0xc0, 0x02, 0xee, 0x6c, |
| 0x57, 0x11, 0x24, 0x08, 0x76, 0x05, 0x0f, 0x33, |
| 0x48, 0xaf, 0x26, 0x64, 0xaa, 0xc3, 0xa8, 0xb0, |
| 0x52, 0x81, 0x30, 0x4e, 0xbc, 0x7a, 0x79, 0x14, |
| 0xc6, 0xad, 0x50, 0xa4, 0xb4, 0xea, 0xc3, 0x83, |
| }, |
| }, |
| { |
| {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
| 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x16, 0xa2, |
| 0xe0, 0xb8, 0xf0, 0x3e, 0x13, 0xdd, 0x29, 0x45, |
| 0x5c, 0x5c, 0x2a, 0x38, }, |
| {0x31, 0xc4, 0x9a, 0xe7, 0x5b, 0xce, 0x78, 0x07, |
| 0xcd, 0xff, 0x22, 0x05, 0x5d, 0x94, 0xee, 0x90, |
| 0x21, 0xfe, 0xdb, 0xb5, 0xab, 0x51, 0xc5, 0x75, |
| 0x26, 0xf0, 0x11, 0xaa, 0xd8, 0x17, 0x40, 0x0e, |
| 0x8b, 0xa9, 0xca, 0x13, 0xa4, 0x5f, 0x36, 0x0e, |
| 0x3d, 0x12, 0x1e, 0xaa, 0xeb, 0x39, 0xaf, 0x82, |
| 0xd6, 0x00, 0x1c, 0x81, 0x86, 0xf5, 0xf8, 0x66, |
| }, |
| }, |
| { |
| {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
| 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x16, 0xa2, |
| 0xe0, 0xb8, 0xf0, 0x3e, 0x13, 0xdd, 0x29, 0x45, |
| 0x5c, 0x5c, 0x2a, 0x39, }, |
| {0xae, 0x99, 0xfe, 0xeb, 0xb5, 0xd2, 0x69, 0x45, |
| 0xb5, 0x48, 0x92, 0x09, 0x2a, 0x8a, 0xee, 0x02, |
| 0x91, 0x29, 0x30, 0xfa, 0x41, 0xcd, 0x11, 0x4e, |
| 0x40, 0x44, 0x73, 0x01, 0xfb, 0x7d, 0xa7, 0xf5, |
| 0xf1, 0x3a, 0x43, 0xb8, 0x17, 0x74, 0x37, 0x3c, |
| 0x87, 0x9c, 0xd3, 0x2d, 0x69, 0x34, 0xc0, 0x5f, |
| 0xa7, 0x58, 0xee, 0xb1, 0x4f, 0xcf, 0xab, 0x38, |
| }, |
| }, |
| { |
| {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
| 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x16, 0xa2, |
| 0xe0, 0xb8, 0xf0, 0x3e, 0x13, 0xdd, 0x29, 0x45, |
| 0x5c, 0x5c, 0x2a, 0x3a, }, |
| {0xdf, 0x1b, 0x1d, 0x66, 0xa5, 0x51, 0xd0, 0xd3, |
| 0x1e, 0xff, 0x82, 0x25, 0x58, 0xb9, 0xd2, 0xcc, |
| 0x75, 0xc2, 0x18, 0x02, 0x79, 0xfe, 0x0d, 0x08, |
| 0xfd, 0x89, 0x6d, 0x04, 0x5c, 0x08, 0x0f, 0xc3, |
| 0x52, 0x2f, 0x41, 0xbb, 0xb3, 0xf5, 0x5a, 0x97, |
| 0xcf, 0xec, 0xf2, 0x1f, 0x88, 0x2c, 0xe8, 0xcb, |
| 0xb1, 0xe5, 0x0c, 0xa6, 0xe6, 0x7e, 0x56, 0xdc, |
| }, |
| }, |
| { |
| {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
| 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x16, 0xa2, |
| 0xe0, 0xb8, 0xf0, 0x3e, 0x13, 0xdd, 0x29, 0x45, |
| 0x5c, 0x5c, 0x2a, 0x3b, }, |
| {0x70, 0x6a, 0x46, 0xdc, 0x76, 0xdc, 0xb7, 0x67, |
| 0x98, 0xe6, 0x0e, 0x6d, 0x89, 0x47, 0x47, 0x88, |
| 0xd1, 0x6d, 0xc1, 0x80, 0x32, 0xd2, 0x68, 0xfd, |
| 0x1a, 0x70, 0x4f, 0xa6, 0xe3, 0xd4, 0x89, 0x58, |
| 0x43, 0xda, 0x18, 0x8f, 0xd5, 0x8f, 0xb0, 0x56, |
| 0x79, 0x76, 0xd7, 0xb5, 0x03, 0x59, 0xd6, 0xb7, |
| 0x85, 0x30, 0xc8, 0xf6, 0x2d, 0x1b, 0x17, 0x46, |
| }, |
| }, |
| { |
| {0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, |
| 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x16, 0xa2, |
| 0xe0, 0xb8, 0xf0, 0x3e, 0x13, 0xdd, 0x29, 0x45, |
| 0x5c, 0x5c, 0x2a, 0x3c, }, |
| {0xb7, 0x0e, 0x0c, 0xbd, 0x6b, 0xb4, 0xbf, 0x7f, |
| 0x32, 0x13, 0x90, 0xb9, 0x4a, 0x03, 0xc1, 0xd3, |
| 0x56, 0xc2, 0x11, 0x22, 0x34, 0x32, 0x80, 0xd6, |
| 0x11, 0x5c, 0x1d, 0x21, 0x42, 0xc8, 0x9c, 0x77, |
| 0x4a, 0x08, 0xdc, 0x04, 0xb3, 0xdd, 0x20, 0x19, |
| 0x32, 0xbc, 0x8a, 0x5e, 0xa5, 0xf8, 0xb8, 0x9b, |
| 0xbb, 0x2a, 0x7e, 0x66, 0x7a, 0xff, 0x81, 0xcd, |
| }, |
| }, |
| }; |
| |
| TEST(P224, ExternalToInternalAndBack) { |
| Point point; |
| |
| EXPECT_TRUE(point.SetFromString( |
| std::string(reinterpret_cast<const char*>(kBasePointExternal), |
| sizeof(kBasePointExternal)))); |
| |
| const std::string external = point.ToString(); |
| |
| ASSERT_EQ(external.size(), 56u); |
| EXPECT_EQ(0, memcmp(external.data(), kBasePointExternal, |
| sizeof(kBasePointExternal))); |
| } |
| |
| TEST(P224, ScalarBaseMult) { |
| Point point; |
| |
| for (size_t i = 0; i < arraysize(kNISTTestVectors); i++) { |
| p224::ScalarBaseMult(kNISTTestVectors[i].scalar, &point); |
| const std::string external = point.ToString(); |
| ASSERT_EQ(external.size(), 56u); |
| EXPECT_EQ(0, memcmp(external.data(), kNISTTestVectors[i].affine, |
| external.size())); |
| } |
| } |
| |
| TEST(P224, Addition) { |
| Point a, b, minus_b, sum, a_again; |
| |
| ASSERT_TRUE(a.SetFromString(std::string( |
| reinterpret_cast<const char*>(kNISTTestVectors[10].affine), 56))); |
| ASSERT_TRUE(b.SetFromString(std::string( |
| reinterpret_cast<const char*>(kNISTTestVectors[11].affine), 56))); |
| |
| p224::Negate(b, &minus_b); |
| p224::Add(a, b, &sum); |
| EXPECT_NE(0, memcmp(&sum, &a, sizeof(sum))); |
| p224::Add(minus_b, sum, &a_again); |
| EXPECT_TRUE(a_again.ToString() == a.ToString()); |
| } |
| |
| TEST(P224, Infinity) { |
| char zeros[56]; |
| memset(zeros, 0, sizeof(zeros)); |
| |
| // Test that x^0 = ∞. |
| Point a; |
| p224::ScalarBaseMult(reinterpret_cast<const uint8*>(zeros), &a); |
| EXPECT_EQ(0, memcmp(zeros, a.ToString().data(), sizeof(zeros))); |
| |
| // We shouldn't allow ∞ to be imported. |
| EXPECT_FALSE(a.SetFromString(std::string(zeros, sizeof(zeros)))); |
| } |
| |
| } // namespace crypto |
