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p224_unittest.cc
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// Copyright (c) 2012 The Chromium 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 <stddef.h>
#include <stdint.h>
#include <stdio.h>
#include <string.h>
#include "crypto/p224.h"
#include "base/macros.h"
#include "testing/gtest/include/gtest/gtest.h"
namespace crypto {
using p224::Point;
// kBasePointExternal is the P224 base point in external representation.
static const uint8_t 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_t scalar[28];
uint8_t 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,
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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(base::StringPiece(
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(base::StringPiece(
reinterpret_cast<const char *>(kNISTTestVectors[10].affine), 56)));
ASSERT_TRUE(b.SetFromString(base::StringPiece(
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_EQ(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_t*>(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