test/curve448_internal_test.c

   1 /*
   2  * Copyright 2017-2018 The OpenSSL Project Authors. All Rights Reserved.
   3  *
   4  * Licensed under the OpenSSL license (the "License").  You may not use
   5  * this file except in compliance with the License.  You can obtain a copy
   6  * in the file LICENSE in the source distribution or at
   7  * https://www.openssl.org/source/license.html
   8  */
   9 #include <stdio.h>
  10 #include <string.h>
  11 #include <openssl/e_os2.h>
  12 #include <openssl/evp.h>
  13
  14 #ifdef __VMS
  15 # pragma names save
  16 # pragma names as_is,shortened
  17 #endif
  18
  19 #include "curve448_local.h"
  20
  21 #ifdef __VMS
  22 # pragma names restore
  23 #endif
  24
  25 #include "testutil.h"
  26
  27 static unsigned int max = 1000;
  28 static unsigned int verbose = 0;
  29
  30 /* Test vectors from RFC7748 for X448 */
  31
  32 static const uint8_t in_scalar1[56] = {
  33     0x3d, 0x26, 0x2f, 0xdd, 0xf9, 0xec, 0x8e, 0x88, 0x49, 0x52, 0x66, 0xfe,
  34     0xa1, 0x9a, 0x34, 0xd2, 0x88, 0x82, 0xac, 0xef, 0x04, 0x51, 0x04, 0xd0,
  35     0xd1, 0xaa, 0xe1, 0x21, 0x70, 0x0a, 0x77, 0x9c, 0x98, 0x4c, 0x24, 0xf8,
  36     0xcd, 0xd7, 0x8f, 0xbf, 0xf4, 0x49, 0x43, 0xeb, 0xa3, 0x68, 0xf5, 0x4b,
  37     0x29, 0x25, 0x9a, 0x4f, 0x1c, 0x60, 0x0a, 0xd3
  38 };
  39
  40 static const uint8_t in_u1[56] = {
  41     0x06, 0xfc, 0xe6, 0x40, 0xfa, 0x34, 0x87, 0xbf, 0xda, 0x5f, 0x6c, 0xf2,
  42     0xd5, 0x26, 0x3f, 0x8a, 0xad, 0x88, 0x33, 0x4c, 0xbd, 0x07, 0x43, 0x7f,
  43     0x02, 0x0f, 0x08, 0xf9, 0x81, 0x4d, 0xc0, 0x31, 0xdd, 0xbd, 0xc3, 0x8c,
  44     0x19, 0xc6, 0xda, 0x25, 0x83, 0xfa, 0x54, 0x29, 0xdb, 0x94, 0xad, 0xa1,
  45     0x8a, 0xa7, 0xa7, 0xfb, 0x4e, 0xf8, 0xa0, 0x86
  46 };
  47
  48 static const uint8_t out_u1[56] = {
  49     0xce, 0x3e, 0x4f, 0xf9, 0x5a, 0x60, 0xdc, 0x66, 0x97, 0xda, 0x1d, 0xb1,
  50     0xd8, 0x5e, 0x6a, 0xfb, 0xdf, 0x79, 0xb5, 0x0a, 0x24, 0x12, 0xd7, 0x54,
  51     0x6d, 0x5f, 0x23, 0x9f, 0xe1, 0x4f, 0xba, 0xad, 0xeb, 0x44, 0x5f, 0xc6,
  52     0x6a, 0x01, 0xb0, 0x77, 0x9d, 0x98, 0x22, 0x39, 0x61, 0x11, 0x1e, 0x21,
  53     0x76, 0x62, 0x82, 0xf7, 0x3d, 0xd9, 0x6b, 0x6f
  54 };
  55
  56 static const uint8_t in_scalar2[56] = {
  57     0x20, 0x3d, 0x49, 0x44, 0x28, 0xb8, 0x39, 0x93, 0x52, 0x66, 0x5d, 0xdc,
  58     0xa4, 0x2f, 0x9d, 0xe8, 0xfe, 0xf6, 0x00, 0x90, 0x8e, 0x0d, 0x46, 0x1c,
  59     0xb0, 0x21, 0xf8, 0xc5, 0x38, 0x34, 0x5d, 0xd7, 0x7c, 0x3e, 0x48, 0x06,
  60     0xe2, 0x5f, 0x46, 0xd3, 0x31, 0x5c, 0x44, 0xe0, 0xa5, 0xb4, 0x37, 0x12,
  61     0x82, 0xdd, 0x2c, 0x8d, 0x5b, 0xe3, 0x09, 0x5f
  62 };
  63
  64 static const uint8_t in_u2[56] = {
  65     0x0f, 0xbc, 0xc2, 0xf9, 0x93, 0xcd, 0x56, 0xd3, 0x30, 0x5b, 0x0b, 0x7d,
  66     0x9e, 0x55, 0xd4, 0xc1, 0xa8, 0xfb, 0x5d, 0xbb, 0x52, 0xf8, 0xe9, 0xa1,
  67     0xe9, 0xb6, 0x20, 0x1b, 0x16, 0x5d, 0x01, 0x58, 0x94, 0xe5, 0x6c, 0x4d,
  68     0x35, 0x70, 0xbe, 0xe5, 0x2f, 0xe2, 0x05, 0xe2, 0x8a, 0x78, 0xb9, 0x1c,
  69     0xdf, 0xbd, 0xe7, 0x1c, 0xe8, 0xd1, 0x57, 0xdb
  70 };
  71
  72 static const uint8_t out_u2[56] = {
  73     0x88, 0x4a, 0x02, 0x57, 0x62, 0x39, 0xff, 0x7a, 0x2f, 0x2f, 0x63, 0xb2,
  74     0xdb, 0x6a, 0x9f, 0xf3, 0x70, 0x47, 0xac, 0x13, 0x56, 0x8e, 0x1e, 0x30,
  75     0xfe, 0x63, 0xc4, 0xa7, 0xad, 0x1b, 0x3e, 0xe3, 0xa5, 0x70, 0x0d, 0xf3,
  76     0x43, 0x21, 0xd6, 0x20, 0x77, 0xe6, 0x36, 0x33, 0xc5, 0x75, 0xc1, 0xc9,
  77     0x54, 0x51, 0x4e, 0x99, 0xda, 0x7c, 0x17, 0x9d
  78 };
  79
  80 static const uint8_t in_u3[56] = {
  81     0x05, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
  82     0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
  83     0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
  84     0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
  85     0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00
  86 };
  87
  88 static const uint8_t out_u3[3][56] = {
  89     {
  90         0x3f, 0x48, 0x2c, 0x8a, 0x9f, 0x19, 0xb0, 0x1e, 0x6c, 0x46, 0xee, 0x97,
  91         0x11, 0xd9, 0xdc, 0x14, 0xfd, 0x4b, 0xf6, 0x7a, 0xf3, 0x07, 0x65, 0xc2,
  92         0xae, 0x2b, 0x84, 0x6a, 0x4d, 0x23, 0xa8, 0xcd, 0x0d, 0xb8, 0x97, 0x08,
  93         0x62, 0x39, 0x49, 0x2c, 0xaf, 0x35, 0x0b, 0x51, 0xf8, 0x33, 0x86, 0x8b,
  94         0x9b, 0xc2, 0xb3, 0xbc, 0xa9, 0xcf, 0x41, 0x13
  95     }, {
  96         0xaa, 0x3b, 0x47, 0x49, 0xd5, 0x5b, 0x9d, 0xaf, 0x1e, 0x5b, 0x00, 0x28,
  97         0x88, 0x26, 0xc4, 0x67, 0x27, 0x4c, 0xe3, 0xeb, 0xbd, 0xd5, 0xc1, 0x7b,
  98         0x97, 0x5e, 0x09, 0xd4, 0xaf, 0x6c, 0x67, 0xcf, 0x10, 0xd0, 0x87, 0x20,
  99         0x2d, 0xb8, 0x82, 0x86, 0xe2, 0xb7, 0x9f, 0xce, 0xea, 0x3e, 0xc3, 0x53,
 100         0xef, 0x54, 0xfa, 0xa2, 0x6e, 0x21, 0x9f, 0x38
 101     }, {
 102         0x07, 0x7f, 0x45, 0x36, 0x81, 0xca, 0xca, 0x36, 0x93, 0x19, 0x84, 0x20,
 103         0xbb, 0xe5, 0x15, 0xca, 0xe0, 0x00, 0x24, 0x72, 0x51, 0x9b, 0x3e, 0x67,
 104         0x66, 0x1a, 0x7e, 0x89, 0xca, 0xb9, 0x46, 0x95, 0xc8, 0xf4, 0xbc, 0xd6,
 105         0x6e, 0x61, 0xb9, 0xb9, 0xc9, 0x46, 0xda, 0x8d, 0x52, 0x4d, 0xe3, 0xd6,
 106         0x9b, 0xd9, 0xd9, 0xd6, 0x6b, 0x99, 0x7e, 0x37
 107     }
 108 };
 109
 110 /* Test vectors from RFC8032 for Ed448 */
 111
 112 /* Pure Ed448 */
 113
 114 static const uint8_t privkey1[57] = {
 115     0x6c, 0x82, 0xa5, 0x62, 0xcb, 0x80, 0x8d, 0x10, 0xd6, 0x32, 0xbe, 0x89,
 116     0xc8, 0x51, 0x3e, 0xbf, 0x6c, 0x92, 0x9f, 0x34, 0xdd, 0xfa, 0x8c, 0x9f,
 117     0x63, 0xc9, 0x96, 0x0e, 0xf6, 0xe3, 0x48, 0xa3, 0x52, 0x8c, 0x8a, 0x3f,
 118     0xcc, 0x2f, 0x04, 0x4e, 0x39, 0xa3, 0xfc, 0x5b, 0x94, 0x49, 0x2f, 0x8f,
 119     0x03, 0x2e, 0x75, 0x49, 0xa2, 0x00, 0x98, 0xf9, 0x5b
 120 };
 121
 122 static const uint8_t pubkey1[57] = {
 123     0x5f, 0xd7, 0x44, 0x9b, 0x59, 0xb4, 0x61, 0xfd, 0x2c, 0xe7, 0x87, 0xec,
 124     0x61, 0x6a, 0xd4, 0x6a, 0x1d, 0xa1, 0x34, 0x24, 0x85, 0xa7, 0x0e, 0x1f,
 125     0x8a, 0x0e, 0xa7, 0x5d, 0x80, 0xe9, 0x67, 0x78, 0xed, 0xf1, 0x24, 0x76,
 126     0x9b, 0x46, 0xc7, 0x06, 0x1b, 0xd6, 0x78, 0x3d, 0xf1, 0xe5, 0x0f, 0x6c,
 127     0xd1, 0xfa, 0x1a, 0xbe, 0xaf, 0xe8, 0x25, 0x61, 0x80
 128 };
 129
 130 static const uint8_t sig1[114] = {
 131     0x53, 0x3a, 0x37, 0xf6, 0xbb, 0xe4, 0x57, 0x25, 0x1f, 0x02, 0x3c, 0x0d,
 132     0x88, 0xf9, 0x76, 0xae, 0x2d, 0xfb, 0x50, 0x4a, 0x84, 0x3e, 0x34, 0xd2,
 133     0x07, 0x4f, 0xd8, 0x23, 0xd4, 0x1a, 0x59, 0x1f, 0x2b, 0x23, 0x3f, 0x03,
 134     0x4f, 0x62, 0x82, 0x81, 0xf2, 0xfd, 0x7a, 0x22, 0xdd, 0xd4, 0x7d, 0x78,
 135     0x28, 0xc5, 0x9b, 0xd0, 0xa2, 0x1b, 0xfd, 0x39, 0x80, 0xff, 0x0d, 0x20,
 136     0x28, 0xd4, 0xb1, 0x8a, 0x9d, 0xf6, 0x3e, 0x00, 0x6c, 0x5d, 0x1c, 0x2d,
 137     0x34, 0x5b, 0x92, 0x5d, 0x8d, 0xc0, 0x0b, 0x41, 0x04, 0x85, 0x2d, 0xb9,
 138     0x9a, 0xc5, 0xc7, 0xcd, 0xda, 0x85, 0x30, 0xa1, 0x13, 0xa0, 0xf4, 0xdb,
 139     0xb6, 0x11, 0x49, 0xf0, 0x5a, 0x73, 0x63, 0x26, 0x8c, 0x71, 0xd9, 0x58,
 140     0x08, 0xff, 0x2e, 0x65, 0x26, 0x00
 141 };
 142
 143 static const uint8_t privkey2[57] = {
 144     0xc4, 0xea, 0xb0, 0x5d, 0x35, 0x70, 0x07, 0xc6, 0x32, 0xf3, 0xdb, 0xb4,
 145     0x84, 0x89, 0x92, 0x4d, 0x55, 0x2b, 0x08, 0xfe, 0x0c, 0x35, 0x3a, 0x0d,
 146     0x4a, 0x1f, 0x00, 0xac, 0xda, 0x2c, 0x46, 0x3a, 0xfb, 0xea, 0x67, 0xc5,
 147     0xe8, 0xd2, 0x87, 0x7c, 0x5e, 0x3b, 0xc3, 0x97, 0xa6, 0x59, 0x94, 0x9e,
 148     0xf8, 0x02, 0x1e, 0x95, 0x4e, 0x0a, 0x12, 0x27, 0x4e
 149 };
 150
 151 static const uint8_t pubkey2[57] = {
 152     0x43, 0xba, 0x28, 0xf4, 0x30, 0xcd, 0xff, 0x45, 0x6a, 0xe5, 0x31, 0x54,
 153     0x5f, 0x7e, 0xcd, 0x0a, 0xc8, 0x34, 0xa5, 0x5d, 0x93, 0x58, 0xc0, 0x37,
 154     0x2b, 0xfa, 0x0c, 0x6c, 0x67, 0x98, 0xc0, 0x86, 0x6a, 0xea, 0x01, 0xeb,
 155     0x00, 0x74, 0x28, 0x02, 0xb8, 0x43, 0x8e, 0xa4, 0xcb, 0x82, 0x16, 0x9c,
 156     0x23, 0x51, 0x60, 0x62, 0x7b, 0x4c, 0x3a, 0x94, 0x80
 157 };
 158
 159 static const uint8_t msg2[1] = {
 160     0x03
 161 };
 162
 163 static const uint8_t sig2[114] = {
 164     0x26, 0xb8, 0xf9, 0x17, 0x27, 0xbd, 0x62, 0x89, 0x7a, 0xf1, 0x5e, 0x41,
 165     0xeb, 0x43, 0xc3, 0x77, 0xef, 0xb9, 0xc6, 0x10, 0xd4, 0x8f, 0x23, 0x35,
 166     0xcb, 0x0b, 0xd0, 0x08, 0x78, 0x10, 0xf4, 0x35, 0x25, 0x41, 0xb1, 0x43,
 167     0xc4, 0xb9, 0x81, 0xb7, 0xe1, 0x8f, 0x62, 0xde, 0x8c, 0xcd, 0xf6, 0x33,
 168     0xfc, 0x1b, 0xf0, 0x37, 0xab, 0x7c, 0xd7, 0x79, 0x80, 0x5e, 0x0d, 0xbc,
 169     0xc0, 0xaa, 0xe1, 0xcb, 0xce, 0xe1, 0xaf, 0xb2, 0xe0, 0x27, 0xdf, 0x36,
 170     0xbc, 0x04, 0xdc, 0xec, 0xbf, 0x15, 0x43, 0x36, 0xc1, 0x9f, 0x0a, 0xf7,
 171     0xe0, 0xa6, 0x47, 0x29, 0x05, 0xe7, 0x99, 0xf1, 0x95, 0x3d, 0x2a, 0x0f,
 172     0xf3, 0x34, 0x8a, 0xb2, 0x1a, 0xa4, 0xad, 0xaf, 0xd1, 0xd2, 0x34, 0x44,
 173     0x1c, 0xf8, 0x07, 0xc0, 0x3a, 0x00
 174 };
 175
 176 static const uint8_t privkey3[57] = {
 177     0xc4, 0xea, 0xb0, 0x5d, 0x35, 0x70, 0x07, 0xc6, 0x32, 0xf3, 0xdb, 0xb4,
 178     0x84, 0x89, 0x92, 0x4d, 0x55, 0x2b, 0x08, 0xfe, 0x0c, 0x35, 0x3a, 0x0d,
 179     0x4a, 0x1f, 0x00, 0xac, 0xda, 0x2c, 0x46, 0x3a, 0xfb, 0xea, 0x67, 0xc5,
 180     0xe8, 0xd2, 0x87, 0x7c, 0x5e, 0x3b, 0xc3, 0x97, 0xa6, 0x59, 0x94, 0x9e,
 181     0xf8, 0x02, 0x1e, 0x95, 0x4e, 0x0a, 0x12, 0x27, 0x4e
 182 };
 183
 184 static const uint8_t pubkey3[57] = {
 185     0x43, 0xba, 0x28, 0xf4, 0x30, 0xcd, 0xff, 0x45, 0x6a, 0xe5, 0x31, 0x54,
 186     0x5f, 0x7e, 0xcd, 0x0a, 0xc8, 0x34, 0xa5, 0x5d, 0x93, 0x58, 0xc0, 0x37,
 187     0x2b, 0xfa, 0x0c, 0x6c, 0x67, 0x98, 0xc0, 0x86, 0x6a, 0xea, 0x01, 0xeb,
 188     0x00, 0x74, 0x28, 0x02, 0xb8, 0x43, 0x8e, 0xa4, 0xcb, 0x82, 0x16, 0x9c,
 189     0x23, 0x51, 0x60, 0x62, 0x7b, 0x4c, 0x3a, 0x94, 0x80
 190 };
 191
 192 static const uint8_t msg3[1] = {
 193     0x03
 194 };
 195
 196 static const uint8_t context3[3] = {
 197     0x66, 0x6f, 0x6f
 198 };
 199
 200 static const uint8_t sig3[114] = {
 201     0xd4, 0xf8, 0xf6, 0x13, 0x17, 0x70, 0xdd, 0x46, 0xf4, 0x08, 0x67, 0xd6,
 202     0xfd, 0x5d, 0x50, 0x55, 0xde, 0x43, 0x54, 0x1f, 0x8c, 0x5e, 0x35, 0xab,
 203     0xbc, 0xd0, 0x01, 0xb3, 0x2a, 0x89, 0xf7, 0xd2, 0x15, 0x1f, 0x76, 0x47,
 204     0xf1, 0x1d, 0x8c, 0xa2, 0xae, 0x27, 0x9f, 0xb8, 0x42, 0xd6, 0x07, 0x21,
 205     0x7f, 0xce, 0x6e, 0x04, 0x2f, 0x68, 0x15, 0xea, 0x00, 0x0c, 0x85, 0x74,
 206     0x1d, 0xe5, 0xc8, 0xda, 0x11, 0x44, 0xa6, 0xa1, 0xab, 0xa7, 0xf9, 0x6d,
 207     0xe4, 0x25, 0x05, 0xd7, 0xa7, 0x29, 0x85, 0x24, 0xfd, 0xa5, 0x38, 0xfc,
 208     0xcb, 0xbb, 0x75, 0x4f, 0x57, 0x8c, 0x1c, 0xad, 0x10, 0xd5, 0x4d, 0x0d,
 209     0x54, 0x28, 0x40, 0x7e, 0x85, 0xdc, 0xbc, 0x98, 0xa4, 0x91, 0x55, 0xc1,
 210     0x37, 0x64, 0xe6, 0x6c, 0x3c, 0x00
 211 };
 212
 213 static const uint8_t privkey4[57] = {
 214     0xcd, 0x23, 0xd2, 0x4f, 0x71, 0x42, 0x74, 0xe7, 0x44, 0x34, 0x32, 0x37,
 215     0xb9, 0x32, 0x90, 0xf5, 0x11, 0xf6, 0x42, 0x5f, 0x98, 0xe6, 0x44, 0x59,
 216     0xff, 0x20, 0x3e, 0x89, 0x85, 0x08, 0x3f, 0xfd, 0xf6, 0x05, 0x00, 0x55,
 217     0x3a, 0xbc, 0x0e, 0x05, 0xcd, 0x02, 0x18, 0x4b, 0xdb, 0x89, 0xc4, 0xcc,
 218     0xd6, 0x7e, 0x18, 0x79, 0x51, 0x26, 0x7e, 0xb3, 0x28
 219 };
 220
 221 static const uint8_t pubkey4[57] = {
 222     0xdc, 0xea, 0x9e, 0x78, 0xf3, 0x5a, 0x1b, 0xf3, 0x49, 0x9a, 0x83, 0x1b,
 223     0x10, 0xb8, 0x6c, 0x90, 0xaa, 0xc0, 0x1c, 0xd8, 0x4b, 0x67, 0xa0, 0x10,
 224     0x9b, 0x55, 0xa3, 0x6e, 0x93, 0x28, 0xb1, 0xe3, 0x65, 0xfc, 0xe1, 0x61,
 225     0xd7, 0x1c, 0xe7, 0x13, 0x1a, 0x54, 0x3e, 0xa4, 0xcb, 0x5f, 0x7e, 0x9f,
 226     0x1d, 0x8b, 0x00, 0x69, 0x64, 0x47, 0x00, 0x14, 0x00
 227 };
 228
 229 static const uint8_t msg4[11] = {
 230     0x0c, 0x3e, 0x54, 0x40, 0x74, 0xec, 0x63, 0xb0, 0x26, 0x5e, 0x0c
 231 };
 232
 233 static const uint8_t sig4[114] = {
 234     0x1f, 0x0a, 0x88, 0x88, 0xce, 0x25, 0xe8, 0xd4, 0x58, 0xa2, 0x11, 0x30,
 235     0x87, 0x9b, 0x84, 0x0a, 0x90, 0x89, 0xd9, 0x99, 0xaa, 0xba, 0x03, 0x9e,
 236     0xaf, 0x3e, 0x3a, 0xfa, 0x09, 0x0a, 0x09, 0xd3, 0x89, 0xdb, 0xa8, 0x2c,
 237     0x4f, 0xf2, 0xae, 0x8a, 0xc5, 0xcd, 0xfb, 0x7c, 0x55, 0xe9, 0x4d, 0x5d,
 238     0x96, 0x1a, 0x29, 0xfe, 0x01, 0x09, 0x94, 0x1e, 0x00, 0xb8, 0xdb, 0xde,
 239     0xea, 0x6d, 0x3b, 0x05, 0x10, 0x68, 0xdf, 0x72, 0x54, 0xc0, 0xcd, 0xc1,
 240     0x29, 0xcb, 0xe6, 0x2d, 0xb2, 0xdc, 0x95, 0x7d, 0xbb, 0x47, 0xb5, 0x1f,
 241     0xd3, 0xf2, 0x13, 0xfb, 0x86, 0x98, 0xf0, 0x64, 0x77, 0x42, 0x50, 0xa5,
 242     0x02, 0x89, 0x61, 0xc9, 0xbf, 0x8f, 0xfd, 0x97, 0x3f, 0xe5, 0xd5, 0xc2,
 243     0x06, 0x49, 0x2b, 0x14, 0x0e, 0x00
 244 };
 245
 246 static const uint8_t privkey5[57] = {
 247     0x25, 0x8c, 0xdd, 0x4a, 0xda, 0x32, 0xed, 0x9c, 0x9f, 0xf5, 0x4e, 0x63,
 248     0x75, 0x6a, 0xe5, 0x82, 0xfb, 0x8f, 0xab, 0x2a, 0xc7, 0x21, 0xf2, 0xc8,
 249     0xe6, 0x76, 0xa7, 0x27, 0x68, 0x51, 0x3d, 0x93, 0x9f, 0x63, 0xdd, 0xdb,
 250     0x55, 0x60, 0x91, 0x33, 0xf2, 0x9a, 0xdf, 0x86, 0xec, 0x99, 0x29, 0xdc,
 251     0xcb, 0x52, 0xc1, 0xc5, 0xfd, 0x2f, 0xf7, 0xe2, 0x1b
 252 };
 253
 254 static const uint8_t pubkey5[57] = {
 255     0x3b, 0xa1, 0x6d, 0xa0, 0xc6, 0xf2, 0xcc, 0x1f, 0x30, 0x18, 0x77, 0x40,
 256     0x75, 0x6f, 0x5e, 0x79, 0x8d, 0x6b, 0xc5, 0xfc, 0x01, 0x5d, 0x7c, 0x63,
 257     0xcc, 0x95, 0x10, 0xee, 0x3f, 0xd4, 0x4a, 0xdc, 0x24, 0xd8, 0xe9, 0x68,
 258     0xb6, 0xe4, 0x6e, 0x6f, 0x94, 0xd1, 0x9b, 0x94, 0x53, 0x61, 0x72, 0x6b,
 259     0xd7, 0x5e, 0x14, 0x9e, 0xf0, 0x98, 0x17, 0xf5, 0x80
 260 };
 261
 262 static const uint8_t msg5[12] = {
 263     0x64, 0xa6, 0x5f, 0x3c, 0xde, 0xdc, 0xdd, 0x66, 0x81, 0x1e, 0x29, 0x15
 264 };
 265
 266 static const uint8_t sig5[114] = {
 267     0x7e, 0xee, 0xab, 0x7c, 0x4e, 0x50, 0xfb, 0x79, 0x9b, 0x41, 0x8e, 0xe5,
 268     0xe3, 0x19, 0x7f, 0xf6, 0xbf, 0x15, 0xd4, 0x3a, 0x14, 0xc3, 0x43, 0x89,
 269     0xb5, 0x9d, 0xd1, 0xa7, 0xb1, 0xb8, 0x5b, 0x4a, 0xe9, 0x04, 0x38, 0xac,
 270     0xa6, 0x34, 0xbe, 0xa4, 0x5e, 0x3a, 0x26, 0x95, 0xf1, 0x27, 0x0f, 0x07,
 271     0xfd, 0xcd, 0xf7, 0xc6, 0x2b, 0x8e, 0xfe, 0xaf, 0x00, 0xb4, 0x5c, 0x2c,
 272     0x96, 0xba, 0x45, 0x7e, 0xb1, 0xa8, 0xbf, 0x07, 0x5a, 0x3d, 0xb2, 0x8e,
 273     0x5c, 0x24, 0xf6, 0xb9, 0x23, 0xed, 0x4a, 0xd7, 0x47, 0xc3, 0xc9, 0xe0,
 274     0x3c, 0x70, 0x79, 0xef, 0xb8, 0x7c, 0xb1, 0x10, 0xd3, 0xa9, 0x98, 0x61,
 275     0xe7, 0x20, 0x03, 0xcb, 0xae, 0x6d, 0x6b, 0x8b, 0x82, 0x7e, 0x4e, 0x6c,
 276     0x14, 0x30, 0x64, 0xff, 0x3c, 0x00
 277 };
 278
 279 static const uint8_t privkey6[57] = {
 280     0x7e, 0xf4, 0xe8, 0x45, 0x44, 0x23, 0x67, 0x52, 0xfb, 0xb5, 0x6b, 0x8f,
 281     0x31, 0xa2, 0x3a, 0x10, 0xe4, 0x28, 0x14, 0xf5, 0xf5, 0x5c, 0xa0, 0x37,
 282     0xcd, 0xcc, 0x11, 0xc6, 0x4c, 0x9a, 0x3b, 0x29, 0x49, 0xc1, 0xbb, 0x60,
 283     0x70, 0x03, 0x14, 0x61, 0x17, 0x32, 0xa6, 0xc2, 0xfe, 0xa9, 0x8e, 0xeb,
 284     0xc0, 0x26, 0x6a, 0x11, 0xa9, 0x39, 0x70, 0x10, 0x0e
 285 };
 286
 287 static const uint8_t pubkey6[57] = {
 288     0xb3, 0xda, 0x07, 0x9b, 0x0a, 0xa4, 0x93, 0xa5, 0x77, 0x20, 0x29, 0xf0,
 289     0x46, 0x7b, 0xae, 0xbe, 0xe5, 0xa8, 0x11, 0x2d, 0x9d, 0x3a, 0x22, 0x53,
 290     0x23, 0x61, 0xda, 0x29, 0x4f, 0x7b, 0xb3, 0x81, 0x5c, 0x5d, 0xc5, 0x9e,
 291     0x17, 0x6b, 0x4d, 0x9f, 0x38, 0x1c, 0xa0, 0x93, 0x8e, 0x13, 0xc6, 0xc0,
 292     0x7b, 0x17, 0x4b, 0xe6, 0x5d, 0xfa, 0x57, 0x8e, 0x80
 293 };
 294
 295 static const uint8_t msg6[13] = {
 296     0x64, 0xa6, 0x5f, 0x3c, 0xde, 0xdc, 0xdd, 0x66, 0x81, 0x1e, 0x29, 0x15,
 297     0xe7
 298 };
 299
 300 static const uint8_t sig6[114] = {
 301     0x6a, 0x12, 0x06, 0x6f, 0x55, 0x33, 0x1b, 0x6c, 0x22, 0xac, 0xd5, 0xd5,
 302     0xbf, 0xc5, 0xd7, 0x12, 0x28, 0xfb, 0xda, 0x80, 0xae, 0x8d, 0xec, 0x26,
 303     0xbd, 0xd3, 0x06, 0x74, 0x3c, 0x50, 0x27, 0xcb, 0x48, 0x90, 0x81, 0x0c,
 304     0x16, 0x2c, 0x02, 0x74, 0x68, 0x67, 0x5e, 0xcf, 0x64, 0x5a, 0x83, 0x17,
 305     0x6c, 0x0d, 0x73, 0x23, 0xa2, 0xcc, 0xde, 0x2d, 0x80, 0xef, 0xe5, 0xa1,
 306     0x26, 0x8e, 0x8a, 0xca, 0x1d, 0x6f, 0xbc, 0x19, 0x4d, 0x3f, 0x77, 0xc4,
 307     0x49, 0x86, 0xeb, 0x4a, 0xb4, 0x17, 0x79, 0x19, 0xad, 0x8b, 0xec, 0x33,
 308     0xeb, 0x47, 0xbb, 0xb5, 0xfc, 0x6e, 0x28, 0x19, 0x6f, 0xd1, 0xca, 0xf5,
 309     0x6b, 0x4e, 0x7e, 0x0b, 0xa5, 0x51, 0x92, 0x34, 0xd0, 0x47, 0x15, 0x5a,
 310     0xc7, 0x27, 0xa1, 0x05, 0x31, 0x00
 311 };
 312
 313 static const uint8_t privkey7[57] = {
 314     0xd6, 0x5d, 0xf3, 0x41, 0xad, 0x13, 0xe0, 0x08, 0x56, 0x76, 0x88, 0xba,
 315     0xed, 0xda, 0x8e, 0x9d, 0xcd, 0xc1, 0x7d, 0xc0, 0x24, 0x97, 0x4e, 0xa5,
 316     0xb4, 0x22, 0x7b, 0x65, 0x30, 0xe3, 0x39, 0xbf, 0xf2, 0x1f, 0x99, 0xe6,
 317     0x8c, 0xa6, 0x96, 0x8f, 0x3c, 0xca, 0x6d, 0xfe, 0x0f, 0xb9, 0xf4, 0xfa,
 318     0xb4, 0xfa, 0x13, 0x5d, 0x55, 0x42, 0xea, 0x3f, 0x01
 319 };
 320
 321 static const uint8_t pubkey7[57] = {
 322     0xdf, 0x97, 0x05, 0xf5, 0x8e, 0xdb, 0xab, 0x80, 0x2c, 0x7f, 0x83, 0x63,
 323     0xcf, 0xe5, 0x56, 0x0a, 0xb1, 0xc6, 0x13, 0x2c, 0x20, 0xa9, 0xf1, 0xdd,
 324     0x16, 0x34, 0x83, 0xa2, 0x6f, 0x8a, 0xc5, 0x3a, 0x39, 0xd6, 0x80, 0x8b,
 325     0xf4, 0xa1, 0xdf, 0xbd, 0x26, 0x1b, 0x09, 0x9b, 0xb0, 0x3b, 0x3f, 0xb5,
 326     0x09, 0x06, 0xcb, 0x28, 0xbd, 0x8a, 0x08, 0x1f, 0x00
 327 };
 328
 329 static const uint8_t msg7[64] = {
 330     0xbd, 0x0f, 0x6a, 0x37, 0x47, 0xcd, 0x56, 0x1b, 0xdd, 0xdf, 0x46, 0x40,
 331     0xa3, 0x32, 0x46, 0x1a, 0x4a, 0x30, 0xa1, 0x2a, 0x43, 0x4c, 0xd0, 0xbf,
 332     0x40, 0xd7, 0x66, 0xd9, 0xc6, 0xd4, 0x58, 0xe5, 0x51, 0x22, 0x04, 0xa3,
 333     0x0c, 0x17, 0xd1, 0xf5, 0x0b, 0x50, 0x79, 0x63, 0x1f, 0x64, 0xeb, 0x31,
 334     0x12, 0x18, 0x2d, 0xa3, 0x00, 0x58, 0x35, 0x46, 0x11, 0x13, 0x71, 0x8d,
 335     0x1a, 0x5e, 0xf9, 0x44
 336 };
 337
 338 static const uint8_t sig7[114] = {
 339     0x55, 0x4b, 0xc2, 0x48, 0x08, 0x60, 0xb4, 0x9e, 0xab, 0x85, 0x32, 0xd2,
 340     0xa5, 0x33, 0xb7, 0xd5, 0x78, 0xef, 0x47, 0x3e, 0xeb, 0x58, 0xc9, 0x8b,
 341     0xb2, 0xd0, 0xe1, 0xce, 0x48, 0x8a, 0x98, 0xb1, 0x8d, 0xfd, 0xe9, 0xb9,
 342     0xb9, 0x07, 0x75, 0xe6, 0x7f, 0x47, 0xd4, 0xa1, 0xc3, 0x48, 0x20, 0x58,
 343     0xef, 0xc9, 0xf4, 0x0d, 0x2c, 0xa0, 0x33, 0xa0, 0x80, 0x1b, 0x63, 0xd4,
 344     0x5b, 0x3b, 0x72, 0x2e, 0xf5, 0x52, 0xba, 0xd3, 0xb4, 0xcc, 0xb6, 0x67,
 345     0xda, 0x35, 0x01, 0x92, 0xb6, 0x1c, 0x50, 0x8c, 0xf7, 0xb6, 0xb5, 0xad,
 346     0xad, 0xc2, 0xc8, 0xd9, 0xa4, 0x46, 0xef, 0x00, 0x3f, 0xb0, 0x5c, 0xba,
 347     0x5f, 0x30, 0xe8, 0x8e, 0x36, 0xec, 0x27, 0x03, 0xb3, 0x49, 0xca, 0x22,
 348     0x9c, 0x26, 0x70, 0x83, 0x39, 0x00
 349 };
 350
 351 static const uint8_t privkey8[57] = {
 352     0x2e, 0xc5, 0xfe, 0x3c, 0x17, 0x04, 0x5a, 0xbd, 0xb1, 0x36, 0xa5, 0xe6,
 353     0xa9, 0x13, 0xe3, 0x2a, 0xb7, 0x5a, 0xe6, 0x8b, 0x53, 0xd2, 0xfc, 0x14,
 354     0x9b, 0x77, 0xe5, 0x04, 0x13, 0x2d, 0x37, 0x56, 0x9b, 0x7e, 0x76, 0x6b,
 355     0xa7, 0x4a, 0x19, 0xbd, 0x61, 0x62, 0x34, 0x3a, 0x21, 0xc8, 0x59, 0x0a,
 356     0xa9, 0xce, 0xbc, 0xa9, 0x01, 0x4c, 0x63, 0x6d, 0xf5
 357 };
 358
 359 static const uint8_t pubkey8[57] = {
 360     0x79, 0x75, 0x6f, 0x01, 0x4d, 0xcf, 0xe2, 0x07, 0x9f, 0x5d, 0xd9, 0xe7,
 361     0x18, 0xbe, 0x41, 0x71, 0xe2, 0xef, 0x24, 0x86, 0xa0, 0x8f, 0x25, 0x18,
 362     0x6f, 0x6b, 0xff, 0x43, 0xa9, 0x93, 0x6b, 0x9b, 0xfe, 0x12, 0x40, 0x2b,
 363     0x08, 0xae, 0x65, 0x79, 0x8a, 0x3d, 0x81, 0xe2, 0x2e, 0x9e, 0xc8, 0x0e,
 364     0x76, 0x90, 0x86, 0x2e, 0xf3, 0xd4, 0xed, 0x3a, 0x00
 365 };
 366
 367 static const uint8_t msg8[256] = {
 368     0x15, 0x77, 0x75, 0x32, 0xb0, 0xbd, 0xd0, 0xd1, 0x38, 0x9f, 0x63, 0x6c,
 369     0x5f, 0x6b, 0x9b, 0xa7, 0x34, 0xc9, 0x0a, 0xf5, 0x72, 0x87, 0x7e, 0x2d,
 370     0x27, 0x2d, 0xd0, 0x78, 0xaa, 0x1e, 0x56, 0x7c, 0xfa, 0x80, 0xe1, 0x29,
 371     0x28, 0xbb, 0x54, 0x23, 0x30, 0xe8, 0x40, 0x9f, 0x31, 0x74, 0x50, 0x41,
 372     0x07, 0xec, 0xd5, 0xef, 0xac, 0x61, 0xae, 0x75, 0x04, 0xda, 0xbe, 0x2a,
 373     0x60, 0x2e, 0xde, 0x89, 0xe5, 0xcc, 0xa6, 0x25, 0x7a, 0x7c, 0x77, 0xe2,
 374     0x7a, 0x70, 0x2b, 0x3a, 0xe3, 0x9f, 0xc7, 0x69, 0xfc, 0x54, 0xf2, 0x39,
 375     0x5a, 0xe6, 0xa1, 0x17, 0x8c, 0xab, 0x47, 0x38, 0xe5, 0x43, 0x07, 0x2f,
 376     0xc1, 0xc1, 0x77, 0xfe, 0x71, 0xe9, 0x2e, 0x25, 0xbf, 0x03, 0xe4, 0xec,
 377     0xb7, 0x2f, 0x47, 0xb6, 0x4d, 0x04, 0x65, 0xaa, 0xea, 0x4c, 0x7f, 0xad,
 378     0x37, 0x25, 0x36, 0xc8, 0xba, 0x51, 0x6a, 0x60, 0x39, 0xc3, 0xc2, 0xa3,
 379     0x9f, 0x0e, 0x4d, 0x83, 0x2b, 0xe4, 0x32, 0xdf, 0xa9, 0xa7, 0x06, 0xa6,
 380     0xe5, 0xc7, 0xe1, 0x9f, 0x39, 0x79, 0x64, 0xca, 0x42, 0x58, 0x00, 0x2f,
 381     0x7c, 0x05, 0x41, 0xb5, 0x90, 0x31, 0x6d, 0xbc, 0x56, 0x22, 0xb6, 0xb2,
 382     0xa6, 0xfe, 0x7a, 0x4a, 0xbf, 0xfd, 0x96, 0x10, 0x5e, 0xca, 0x76, 0xea,
 383     0x7b, 0x98, 0x81, 0x6a, 0xf0, 0x74, 0x8c, 0x10, 0xdf, 0x04, 0x8c, 0xe0,
 384     0x12, 0xd9, 0x01, 0x01, 0x5a, 0x51, 0xf1, 0x89, 0xf3, 0x88, 0x81, 0x45,
 385     0xc0, 0x36, 0x50, 0xaa, 0x23, 0xce, 0x89, 0x4c, 0x3b, 0xd8, 0x89, 0xe0,
 386     0x30, 0xd5, 0x65, 0x07, 0x1c, 0x59, 0xf4, 0x09, 0xa9, 0x98, 0x1b, 0x51,
 387     0x87, 0x8f, 0xd6, 0xfc, 0x11, 0x06, 0x24, 0xdc, 0xbc, 0xde, 0x0b, 0xf7,
 388     0xa6, 0x9c, 0xcc, 0xe3, 0x8f, 0xab, 0xdf, 0x86, 0xf3, 0xbe, 0xf6, 0x04,
 389     0x48, 0x19, 0xde, 0x11
 390 };
 391
 392 static const uint8_t sig8[114] = {
 393     0xc6, 0x50, 0xdd, 0xbb, 0x06, 0x01, 0xc1, 0x9c, 0xa1, 0x14, 0x39, 0xe1,
 394     0x64, 0x0d, 0xd9, 0x31, 0xf4, 0x3c, 0x51, 0x8e, 0xa5, 0xbe, 0xa7, 0x0d,
 395     0x3d, 0xcd, 0xe5, 0xf4, 0x19, 0x1f, 0xe5, 0x3f, 0x00, 0xcf, 0x96, 0x65,
 396     0x46, 0xb7, 0x2b, 0xcc, 0x7d, 0x58, 0xbe, 0x2b, 0x9b, 0xad, 0xef, 0x28,
 397     0x74, 0x39, 0x54, 0xe3, 0xa4, 0x4a, 0x23, 0xf8, 0x80, 0xe8, 0xd4, 0xf1,
 398     0xcf, 0xce, 0x2d, 0x7a, 0x61, 0x45, 0x2d, 0x26, 0xda, 0x05, 0x89, 0x6f,
 399     0x0a, 0x50, 0xda, 0x66, 0xa2, 0x39, 0xa8, 0xa1, 0x88, 0xb6, 0xd8, 0x25,
 400     0xb3, 0x30, 0x5a, 0xd7, 0x7b, 0x73, 0xfb, 0xac, 0x08, 0x36, 0xec, 0xc6,
 401     0x09, 0x87, 0xfd, 0x08, 0x52, 0x7c, 0x1a, 0x8e, 0x80, 0xd5, 0x82, 0x3e,
 402     0x65, 0xca, 0xfe, 0x2a, 0x3d, 0x00
 403 };
 404
 405 static const uint8_t privkey9[57] = {
 406     0x87, 0x2d, 0x09, 0x37, 0x80, 0xf5, 0xd3, 0x73, 0x0d, 0xf7, 0xc2, 0x12,
 407     0x66, 0x4b, 0x37, 0xb8, 0xa0, 0xf2, 0x4f, 0x56, 0x81, 0x0d, 0xaa, 0x83,
 408     0x82, 0xcd, 0x4f, 0xa3, 0xf7, 0x76, 0x34, 0xec, 0x44, 0xdc, 0x54, 0xf1,
 409     0xc2, 0xed, 0x9b, 0xea, 0x86, 0xfa, 0xfb, 0x76, 0x32, 0xd8, 0xbe, 0x19,
 410     0x9e, 0xa1, 0x65, 0xf5, 0xad, 0x55, 0xdd, 0x9c, 0xe8
 411 };
 412
 413 static const uint8_t pubkey9[57] = {
 414     0xa8, 0x1b, 0x2e, 0x8a, 0x70, 0xa5, 0xac, 0x94, 0xff, 0xdb, 0xcc, 0x9b,
 415     0xad, 0xfc, 0x3f, 0xeb, 0x08, 0x01, 0xf2, 0x58, 0x57, 0x8b, 0xb1, 0x14,
 416     0xad, 0x44, 0xec, 0xe1, 0xec, 0x0e, 0x79, 0x9d, 0xa0, 0x8e, 0xff, 0xb8,
 417     0x1c, 0x5d, 0x68, 0x5c, 0x0c, 0x56, 0xf6, 0x4e, 0xec, 0xae, 0xf8, 0xcd,
 418     0xf1, 0x1c, 0xc3, 0x87, 0x37, 0x83, 0x8c, 0xf4, 0x00
 419 };
 420
 421 static const uint8_t msg9[1023] = {
 422     0x6d, 0xdf, 0x80, 0x2e, 0x1a, 0xae, 0x49, 0x86, 0x93, 0x5f, 0x7f, 0x98,
 423     0x1b, 0xa3, 0xf0, 0x35, 0x1d, 0x62, 0x73, 0xc0, 0xa0, 0xc2, 0x2c, 0x9c,
 424     0x0e, 0x83, 0x39, 0x16, 0x8e, 0x67, 0x54, 0x12, 0xa3, 0xde, 0xbf, 0xaf,
 425     0x43, 0x5e, 0xd6, 0x51, 0x55, 0x80, 0x07, 0xdb, 0x43, 0x84, 0xb6, 0x50,
 426     0xfc, 0xc0, 0x7e, 0x3b, 0x58, 0x6a, 0x27, 0xa4, 0xf7, 0xa0, 0x0a, 0xc8,
 427     0xa6, 0xfe, 0xc2, 0xcd, 0x86, 0xae, 0x4b, 0xf1, 0x57, 0x0c, 0x41, 0xe6,
 428     0xa4, 0x0c, 0x93, 0x1d, 0xb2, 0x7b, 0x2f, 0xaa, 0x15, 0xa8, 0xce, 0xdd,
 429     0x52, 0xcf, 0xf7, 0x36, 0x2c, 0x4e, 0x6e, 0x23, 0xda, 0xec, 0x0f, 0xbc,
 430     0x3a, 0x79, 0xb6, 0x80, 0x6e, 0x31, 0x6e, 0xfc, 0xc7, 0xb6, 0x81, 0x19,
 431     0xbf, 0x46, 0xbc, 0x76, 0xa2, 0x60, 0x67, 0xa5, 0x3f, 0x29, 0x6d, 0xaf,
 432     0xdb, 0xdc, 0x11, 0xc7, 0x7f, 0x77, 0x77, 0xe9, 0x72, 0x66, 0x0c, 0xf4,
 433     0xb6, 0xa9, 0xb3, 0x69, 0xa6, 0x66, 0x5f, 0x02, 0xe0, 0xcc, 0x9b, 0x6e,
 434     0xdf, 0xad, 0x13, 0x6b, 0x4f, 0xab, 0xe7, 0x23, 0xd2, 0x81, 0x3d, 0xb3,
 435     0x13, 0x6c, 0xfd, 0xe9, 0xb6, 0xd0, 0x44, 0x32, 0x2f, 0xee, 0x29, 0x47,
 436     0x95, 0x2e, 0x03, 0x1b, 0x73, 0xab, 0x5c, 0x60, 0x33, 0x49, 0xb3, 0x07,
 437     0xbd, 0xc2, 0x7b, 0xc6, 0xcb, 0x8b, 0x8b, 0xbd, 0x7b, 0xd3, 0x23, 0x21,
 438     0x9b, 0x80, 0x33, 0xa5, 0x81, 0xb5, 0x9e, 0xad, 0xeb, 0xb0, 0x9b, 0x3c,
 439     0x4f, 0x3d, 0x22, 0x77, 0xd4, 0xf0, 0x34, 0x36, 0x24, 0xac, 0xc8, 0x17,
 440     0x80, 0x47, 0x28, 0xb2, 0x5a, 0xb7, 0x97, 0x17, 0x2b, 0x4c, 0x5c, 0x21,
 441     0xa2, 0x2f, 0x9c, 0x78, 0x39, 0xd6, 0x43, 0x00, 0x23, 0x2e, 0xb6, 0x6e,
 442     0x53, 0xf3, 0x1c, 0x72, 0x3f, 0xa3, 0x7f, 0xe3, 0x87, 0xc7, 0xd3, 0xe5,
 443     0x0b, 0xdf, 0x98, 0x13, 0xa3, 0x0e, 0x5b, 0xb1, 0x2c, 0xf4, 0xcd, 0x93,
 444     0x0c, 0x40, 0xcf, 0xb4, 0xe1, 0xfc, 0x62, 0x25, 0x92, 0xa4, 0x95, 0x88,
 445     0x79, 0x44, 0x94, 0xd5, 0x6d, 0x24, 0xea, 0x4b, 0x40, 0xc8, 0x9f, 0xc0,
 446     0x59, 0x6c, 0xc9, 0xeb, 0xb9, 0x61, 0xc8, 0xcb, 0x10, 0xad, 0xde, 0x97,
 447     0x6a, 0x5d, 0x60, 0x2b, 0x1c, 0x3f, 0x85, 0xb9, 0xb9, 0xa0, 0x01, 0xed,
 448     0x3c, 0x6a, 0x4d, 0x3b, 0x14, 0x37, 0xf5, 0x20, 0x96, 0xcd, 0x19, 0x56,
 449     0xd0, 0x42, 0xa5, 0x97, 0xd5, 0x61, 0xa5, 0x96, 0xec, 0xd3, 0xd1, 0x73,
 450     0x5a, 0x8d, 0x57, 0x0e, 0xa0, 0xec, 0x27, 0x22, 0x5a, 0x2c, 0x4a, 0xaf,
 451     0xf2, 0x63, 0x06, 0xd1, 0x52, 0x6c, 0x1a, 0xf3, 0xca, 0x6d, 0x9c, 0xf5,
 452     0xa2, 0xc9, 0x8f, 0x47, 0xe1, 0xc4, 0x6d, 0xb9, 0xa3, 0x32, 0x34, 0xcf,
 453     0xd4, 0xd8, 0x1f, 0x2c, 0x98, 0x53, 0x8a, 0x09, 0xeb, 0xe7, 0x69, 0x98,
 454     0xd0, 0xd8, 0xfd, 0x25, 0x99, 0x7c, 0x7d, 0x25, 0x5c, 0x6d, 0x66, 0xec,
 455     0xe6, 0xfa, 0x56, 0xf1, 0x11, 0x44, 0x95, 0x0f, 0x02, 0x77, 0x95, 0xe6,
 456     0x53, 0x00, 0x8f, 0x4b, 0xd7, 0xca, 0x2d, 0xee, 0x85, 0xd8, 0xe9, 0x0f,
 457     0x3d, 0xc3, 0x15, 0x13, 0x0c, 0xe2, 0xa0, 0x03, 0x75, 0xa3, 0x18, 0xc7,
 458     0xc3, 0xd9, 0x7b, 0xe2, 0xc8, 0xce, 0x5b, 0x6d, 0xb4, 0x1a, 0x62, 0x54,
 459     0xff, 0x26, 0x4f, 0xa6, 0x15, 0x5b, 0xae, 0xe3, 0xb0, 0x77, 0x3c, 0x0f,
 460     0x49, 0x7c, 0x57, 0x3f, 0x19, 0xbb, 0x4f, 0x42, 0x40, 0x28, 0x1f, 0x0b,
 461     0x1f, 0x4f, 0x7b, 0xe8, 0x57, 0xa4, 0xe5, 0x9d, 0x41, 0x6c, 0x06, 0xb4,
 462     0xc5, 0x0f, 0xa0, 0x9e, 0x18, 0x10, 0xdd, 0xc6, 0xb1, 0x46, 0x7b, 0xae,
 463     0xac, 0x5a, 0x36, 0x68, 0xd1, 0x1b, 0x6e, 0xca, 0xa9, 0x01, 0x44, 0x00,
 464     0x16, 0xf3, 0x89, 0xf8, 0x0a, 0xcc, 0x4d, 0xb9, 0x77, 0x02, 0x5e, 0x7f,
 465     0x59, 0x24, 0x38, 0x8c, 0x7e, 0x34, 0x0a, 0x73, 0x2e, 0x55, 0x44, 0x40,
 466     0xe7, 0x65, 0x70, 0xf8, 0xdd, 0x71, 0xb7, 0xd6, 0x40, 0xb3, 0x45, 0x0d,
 467     0x1f, 0xd5, 0xf0, 0x41, 0x0a, 0x18, 0xf9, 0xa3, 0x49, 0x4f, 0x70, 0x7c,
 468     0x71, 0x7b, 0x79, 0xb4, 0xbf, 0x75, 0xc9, 0x84, 0x00, 0xb0, 0x96, 0xb2,
 469     0x16, 0x53, 0xb5, 0xd2, 0x17, 0xcf, 0x35, 0x65, 0xc9, 0x59, 0x74, 0x56,
 470     0xf7, 0x07, 0x03, 0x49, 0x7a, 0x07, 0x87, 0x63, 0x82, 0x9b, 0xc0, 0x1b,
 471     0xb1, 0xcb, 0xc8, 0xfa, 0x04, 0xea, 0xdc, 0x9a, 0x6e, 0x3f, 0x66, 0x99,
 472     0x58, 0x7a, 0x9e, 0x75, 0xc9, 0x4e, 0x5b, 0xab, 0x00, 0x36, 0xe0, 0xb2,
 473     0xe7, 0x11, 0x39, 0x2c, 0xff, 0x00, 0x47, 0xd0, 0xd6, 0xb0, 0x5b, 0xd2,
 474     0xa5, 0x88, 0xbc, 0x10, 0x97, 0x18, 0x95, 0x42, 0x59, 0xf1, 0xd8, 0x66,
 475     0x78, 0xa5, 0x79, 0xa3, 0x12, 0x0f, 0x19, 0xcf, 0xb2, 0x96, 0x3f, 0x17,
 476     0x7a, 0xeb, 0x70, 0xf2, 0xd4, 0x84, 0x48, 0x26, 0x26, 0x2e, 0x51, 0xb8,
 477     0x02, 0x71, 0x27, 0x20, 0x68, 0xef, 0x5b, 0x38, 0x56, 0xfa, 0x85, 0x35,
 478     0xaa, 0x2a, 0x88, 0xb2, 0xd4, 0x1f, 0x2a, 0x0e, 0x2f, 0xda, 0x76, 0x24,
 479     0xc2, 0x85, 0x02, 0x72, 0xac, 0x4a, 0x2f, 0x56, 0x1f, 0x8f, 0x2f, 0x7a,
 480     0x31, 0x8b, 0xfd, 0x5c, 0xaf, 0x96, 0x96, 0x14, 0x9e, 0x4a, 0xc8, 0x24,
 481     0xad, 0x34, 0x60, 0x53, 0x8f, 0xdc, 0x25, 0x42, 0x1b, 0xee, 0xc2, 0xcc,
 482     0x68, 0x18, 0x16, 0x2d, 0x06, 0xbb, 0xed, 0x0c, 0x40, 0xa3, 0x87, 0x19,
 483     0x23, 0x49, 0xdb, 0x67, 0xa1, 0x18, 0xba, 0xda, 0x6c, 0xd5, 0xab, 0x01,
 484     0x40, 0xee, 0x27, 0x32, 0x04, 0xf6, 0x28, 0xaa, 0xd1, 0xc1, 0x35, 0xf7,
 485     0x70, 0x27, 0x9a, 0x65, 0x1e, 0x24, 0xd8, 0xc1, 0x4d, 0x75, 0xa6, 0x05,
 486     0x9d, 0x76, 0xb9, 0x6a, 0x6f, 0xd8, 0x57, 0xde, 0xf5, 0xe0, 0xb3, 0x54,
 487     0xb2, 0x7a, 0xb9, 0x37, 0xa5, 0x81, 0x5d, 0x16, 0xb5, 0xfa, 0xe4, 0x07,
 488     0xff, 0x18, 0x22, 0x2c, 0x6d, 0x1e, 0xd2, 0x63, 0xbe, 0x68, 0xc9, 0x5f,
 489     0x32, 0xd9, 0x08, 0xbd, 0x89, 0x5c, 0xd7, 0x62, 0x07, 0xae, 0x72, 0x64,
 490     0x87, 0x56, 0x7f, 0x9a, 0x67, 0xda, 0xd7, 0x9a, 0xbe, 0xc3, 0x16, 0xf6,
 491     0x83, 0xb1, 0x7f, 0x2d, 0x02, 0xbf, 0x07, 0xe0, 0xac, 0x8b, 0x5b, 0xc6,
 492     0x16, 0x2c, 0xf9, 0x46, 0x97, 0xb3, 0xc2, 0x7c, 0xd1, 0xfe, 0xa4, 0x9b,
 493     0x27, 0xf2, 0x3b, 0xa2, 0x90, 0x18, 0x71, 0x96, 0x25, 0x06, 0x52, 0x0c,
 494     0x39, 0x2d, 0xa8, 0xb6, 0xad, 0x0d, 0x99, 0xf7, 0x01, 0x3f, 0xbc, 0x06,
 495     0xc2, 0xc1, 0x7a, 0x56, 0x95, 0x00, 0xc8, 0xa7, 0x69, 0x64, 0x81, 0xc1,
 496     0xcd, 0x33, 0xe9, 0xb1, 0x4e, 0x40, 0xb8, 0x2e, 0x79, 0xa5, 0xf5, 0xdb,
 497     0x82, 0x57, 0x1b, 0xa9, 0x7b, 0xae, 0x3a, 0xd3, 0xe0, 0x47, 0x95, 0x15,
 498     0xbb, 0x0e, 0x2b, 0x0f, 0x3b, 0xfc, 0xd1, 0xfd, 0x33, 0x03, 0x4e, 0xfc,
 499     0x62, 0x45, 0xed, 0xdd, 0x7e, 0xe2, 0x08, 0x6d, 0xda, 0xe2, 0x60, 0x0d,
 500     0x8c, 0xa7, 0x3e, 0x21, 0x4e, 0x8c, 0x2b, 0x0b, 0xdb, 0x2b, 0x04, 0x7c,
 501     0x6a, 0x46, 0x4a, 0x56, 0x2e, 0xd7, 0x7b, 0x73, 0xd2, 0xd8, 0x41, 0xc4,
 502     0xb3, 0x49, 0x73, 0x55, 0x12, 0x57, 0x71, 0x3b, 0x75, 0x36, 0x32, 0xef,
 503     0xba, 0x34, 0x81, 0x69, 0xab, 0xc9, 0x0a, 0x68, 0xf4, 0x26, 0x11, 0xa4,
 504     0x01, 0x26, 0xd7, 0xcb, 0x21, 0xb5, 0x86, 0x95, 0x56, 0x81, 0x86, 0xf7,
 505     0xe5, 0x69, 0xd2, 0xff, 0x0f, 0x9e, 0x74, 0x5d, 0x04, 0x87, 0xdd, 0x2e,
 506     0xb9, 0x97, 0xca, 0xfc, 0x5a, 0xbf, 0x9d, 0xd1, 0x02, 0xe6, 0x2f, 0xf6,
 507     0x6c, 0xba, 0x87
 508 };
 509
 510 static const uint8_t sig9[114] = {
 511     0xe3, 0x01, 0x34, 0x5a, 0x41, 0xa3, 0x9a, 0x4d, 0x72, 0xff, 0xf8, 0xdf,
 512     0x69, 0xc9, 0x80, 0x75, 0xa0, 0xcc, 0x08, 0x2b, 0x80, 0x2f, 0xc9, 0xb2,
 513     0xb6, 0xbc, 0x50, 0x3f, 0x92, 0x6b, 0x65, 0xbd, 0xdf, 0x7f, 0x4c, 0x8f,
 514     0x1c, 0xb4, 0x9f, 0x63, 0x96, 0xaf, 0xc8, 0xa7, 0x0a, 0xbe, 0x6d, 0x8a,
 515     0xef, 0x0d, 0xb4, 0x78, 0xd4, 0xc6, 0xb2, 0x97, 0x00, 0x76, 0xc6, 0xa0,
 516     0x48, 0x4f, 0xe7, 0x6d, 0x76, 0xb3, 0xa9, 0x76, 0x25, 0xd7, 0x9f, 0x1c,
 517     0xe2, 0x40, 0xe7, 0xc5, 0x76, 0x75, 0x0d, 0x29, 0x55, 0x28, 0x28, 0x6f,
 518     0x71, 0x9b, 0x41, 0x3d, 0xe9, 0xad, 0xa3, 0xe8, 0xeb, 0x78, 0xed, 0x57,
 519     0x36, 0x03, 0xce, 0x30, 0xd8, 0xbb, 0x76, 0x17, 0x85, 0xdc, 0x30, 0xdb,
 520     0xc3, 0x20, 0x86, 0x9e, 0x1a, 0x00
 521 };
 522
 523 /* Prehash Ed448 */
 524
 525 static const uint8_t phprivkey1[57] = {
 526     0x83, 0x3f, 0xe6, 0x24, 0x09, 0x23, 0x7b, 0x9d, 0x62, 0xec, 0x77, 0x58,
 527     0x75, 0x20, 0x91, 0x1e, 0x9a, 0x75, 0x9c, 0xec, 0x1d, 0x19, 0x75, 0x5b,
 528     0x7d, 0xa9, 0x01, 0xb9, 0x6d, 0xca, 0x3d, 0x42, 0xef, 0x78, 0x22, 0xe0,
 529     0xd5, 0x10, 0x41, 0x27, 0xdc, 0x05, 0xd6, 0xdb, 0xef, 0xde, 0x69, 0xe3,
 530     0xab, 0x2c, 0xec, 0x7c, 0x86, 0x7c, 0x6e, 0x2c, 0x49
 531 };
 532
 533 static const uint8_t phpubkey1[57] = {
 534     0x25, 0x9b, 0x71, 0xc1, 0x9f, 0x83, 0xef, 0x77, 0xa7, 0xab, 0xd2, 0x65,
 535     0x24, 0xcb, 0xdb, 0x31, 0x61, 0xb5, 0x90, 0xa4, 0x8f, 0x7d, 0x17, 0xde,
 536     0x3e, 0xe0, 0xba, 0x9c, 0x52, 0xbe, 0xb7, 0x43, 0xc0, 0x94, 0x28, 0xa1,
 537     0x31, 0xd6, 0xb1, 0xb5, 0x73, 0x03, 0xd9, 0x0d, 0x81, 0x32, 0xc2, 0x76,
 538     0xd5, 0xed, 0x3d, 0x5d, 0x01, 0xc0, 0xf5, 0x38, 0x80
 539 };
 540
 541 static const uint8_t phmsg1[3] = {
 542     0x61, 0x62, 0x63
 543 };
 544
 545 static const uint8_t phsig1[114] = {
 546     0x82, 0x2f, 0x69, 0x01, 0xf7, 0x48, 0x0f, 0x3d, 0x5f, 0x56, 0x2c, 0x59,
 547     0x29, 0x94, 0xd9, 0x69, 0x36, 0x02, 0x87, 0x56, 0x14, 0x48, 0x32, 0x56,
 548     0x50, 0x56, 0x00, 0xbb, 0xc2, 0x81, 0xae, 0x38, 0x1f, 0x54, 0xd6, 0xbc,
 549     0xe2, 0xea, 0x91, 0x15, 0x74, 0x93, 0x2f, 0x52, 0xa4, 0xe6, 0xca, 0xdd,
 550     0x78, 0x76, 0x93, 0x75, 0xec, 0x3f, 0xfd, 0x1b, 0x80, 0x1a, 0x0d, 0x9b,
 551     0x3f, 0x40, 0x30, 0xcd, 0x43, 0x39, 0x64, 0xb6, 0x45, 0x7e, 0xa3, 0x94,
 552     0x76, 0x51, 0x12, 0x14, 0xf9, 0x74, 0x69, 0xb5, 0x7d, 0xd3, 0x2d, 0xbc,
 553     0x56, 0x0a, 0x9a, 0x94, 0xd0, 0x0b, 0xff, 0x07, 0x62, 0x04, 0x64, 0xa3,
 554     0xad, 0x20, 0x3d, 0xf7, 0xdc, 0x7c, 0xe3, 0x60, 0xc3, 0xcd, 0x36, 0x96,
 555     0xd9, 0xd9, 0xfa, 0xb9, 0x0f, 0x00
 556 };
 557
 558 static const uint8_t phprivkey2[57] = {
 559     0x83, 0x3f, 0xe6, 0x24, 0x09, 0x23, 0x7b, 0x9d, 0x62, 0xec, 0x77, 0x58,
 560     0x75, 0x20, 0x91, 0x1e, 0x9a, 0x75, 0x9c, 0xec, 0x1d, 0x19, 0x75, 0x5b,
 561     0x7d, 0xa9, 0x01, 0xb9, 0x6d, 0xca, 0x3d, 0x42, 0xef, 0x78, 0x22, 0xe0,
 562     0xd5, 0x10, 0x41, 0x27, 0xdc, 0x05, 0xd6, 0xdb, 0xef, 0xde, 0x69, 0xe3,
 563     0xab, 0x2c, 0xec, 0x7c, 0x86, 0x7c, 0x6e, 0x2c, 0x49
 564 };
 565
 566 static const uint8_t phpubkey2[57] = {
 567     0x25, 0x9b, 0x71, 0xc1, 0x9f, 0x83, 0xef, 0x77, 0xa7, 0xab, 0xd2, 0x65,
 568     0x24, 0xcb, 0xdb, 0x31, 0x61, 0xb5, 0x90, 0xa4, 0x8f, 0x7d, 0x17, 0xde,
 569     0x3e, 0xe0, 0xba, 0x9c, 0x52, 0xbe, 0xb7, 0x43, 0xc0, 0x94, 0x28, 0xa1,
 570     0x31, 0xd6, 0xb1, 0xb5, 0x73, 0x03, 0xd9, 0x0d, 0x81, 0x32, 0xc2, 0x76,
 571     0xd5, 0xed, 0x3d, 0x5d, 0x01, 0xc0, 0xf5, 0x38, 0x80
 572 };
 573
 574 static const uint8_t phmsg2[3] = {
 575     0x61, 0x62, 0x63
 576 };
 577
 578 static const uint8_t phcontext2[3] = {
 579     0x66, 0x6f, 0x6f
 580 };
 581
 582 static const uint8_t phsig2[114] = {
 583     0xc3, 0x22, 0x99, 0xd4, 0x6e, 0xc8, 0xff, 0x02, 0xb5, 0x45, 0x40, 0x98,
 584     0x28, 0x14, 0xdc, 0xe9, 0xa0, 0x58, 0x12, 0xf8, 0x19, 0x62, 0xb6, 0x49,
 585     0xd5, 0x28, 0x09, 0x59, 0x16, 0xa2, 0xaa, 0x48, 0x10, 0x65, 0xb1, 0x58,
 586     0x04, 0x23, 0xef, 0x92, 0x7e, 0xcf, 0x0a, 0xf5, 0x88, 0x8f, 0x90, 0xda,
 587     0x0f, 0x6a, 0x9a, 0x85, 0xad, 0x5d, 0xc3, 0xf2, 0x80, 0xd9, 0x12, 0x24,
 588     0xba, 0x99, 0x11, 0xa3, 0x65, 0x3d, 0x00, 0xe4, 0x84, 0xe2, 0xce, 0x23,
 589     0x25, 0x21, 0x48, 0x1c, 0x86, 0x58, 0xdf, 0x30, 0x4b, 0xb7, 0x74, 0x5a,
 590     0x73, 0x51, 0x4c, 0xdb, 0x9b, 0xf3, 0xe1, 0x57, 0x84, 0xab, 0x71, 0x28,
 591     0x4f, 0x8d, 0x07, 0x04, 0xa6, 0x08, 0xc5, 0x4a, 0x6b, 0x62, 0xd9, 0x7b,
 592     0xeb, 0x51, 0x1d, 0x13, 0x21, 0x00
 593 };
 594
 595 static const uint8_t *dohash(EVP_MD_CTX *hashctx, const uint8_t *msg,
 596                              size_t msglen)
 597 {
 598     static uint8_t hashout[64];
 599
 600     if (!EVP_DigestInit_ex(hashctx, EVP_shake256(), NULL)
 601             || !EVP_DigestUpdate(hashctx, msg, msglen)
 602             || !EVP_DigestFinalXOF(hashctx, hashout, sizeof(hashout)))
 603         return NULL;
 604
 605     return hashout;
 606 }
 607
 608 static int test_ed448(void)
 609 {
 610     uint8_t outsig[114];
 611     EVP_MD_CTX *hashctx = EVP_MD_CTX_new();
 612
 613     if (!TEST_ptr(hashctx)
 614             || !TEST_true(ED448_sign(outsig, NULL, 0, pubkey1, privkey1, NULL,
 615                                      0))
 616             || !TEST_int_eq(memcmp(sig1, outsig, sizeof(sig1)), 0)
 617             || !TEST_true(ED448_sign(outsig, msg2, sizeof(msg2), pubkey2,
 618                                      privkey2, NULL, 0))
 619             || !TEST_int_eq(memcmp(sig2, outsig, sizeof(sig2)), 0)
 620             || !TEST_true(ED448_sign(outsig, msg3, sizeof(msg3), pubkey3,
 621                                      privkey3, context3, sizeof(context3)))
 622             || !TEST_int_eq(memcmp(sig3, outsig, sizeof(sig3)), 0)
 623             || !TEST_true(ED448_sign(outsig, msg4, sizeof(msg4), pubkey4,
 624                                      privkey4, NULL, 0))
 625             || !TEST_int_eq(memcmp(sig4, outsig, sizeof(sig4)), 0)
 626             || !TEST_true(ED448_sign(outsig, msg5, sizeof(msg5), pubkey5,
 627                                      privkey5, NULL, 0))
 628             || !TEST_int_eq(memcmp(sig5, outsig, sizeof(sig5)), 0)
 629             || !TEST_true(ED448_sign(outsig, msg6, sizeof(msg6), pubkey6,
 630                                      privkey6, NULL, 0))
 631             || !TEST_int_eq(memcmp(sig6, outsig, sizeof(sig6)), 0)
 632             || !TEST_true(ED448_sign(outsig, msg7, sizeof(msg7), pubkey7,
 633                                      privkey7, NULL, 0))
 634             || !TEST_int_eq(memcmp(sig7, outsig, sizeof(sig7)), 0)
 635             || !TEST_true(ED448_sign(outsig, msg8, sizeof(msg8), pubkey8,
 636                                      privkey8, NULL, 0))
 637             || !TEST_int_eq(memcmp(sig8, outsig, sizeof(sig8)), 0)
 638             || !TEST_true(ED448_sign(outsig, msg9, sizeof(msg9), pubkey9,
 639                                      privkey9, NULL, 0))
 640             || !TEST_int_eq(memcmp(sig9, outsig, sizeof(sig9)), 0)
 641             || !TEST_true(ED448ph_sign(outsig, dohash(hashctx, phmsg1,
 642                                        sizeof(phmsg1)), phpubkey1, phprivkey1,
 643                                        NULL, 0))
 644             || !TEST_int_eq(memcmp(phsig1, outsig, sizeof(phsig1)), 0)
 645             || !TEST_true(ED448ph_sign(outsig, dohash(hashctx, phmsg2,
 646                                        sizeof(phmsg2)), phpubkey2, phprivkey2,
 647                                        phcontext2, sizeof(phcontext2)))
 648             || !TEST_int_eq(memcmp(phsig2, outsig, sizeof(phsig2)), 0)) {
 649         EVP_MD_CTX_free(hashctx);
 650         return 0;
 651     }
 652
 653     EVP_MD_CTX_free(hashctx);
 654     return 1;
 655 }
 656
 657 static int test_x448(void)
 658 {
 659     uint8_t u[56], k[56], out[56];
 660     unsigned int i;
 661     int j = -1;
 662
 663     /* Curve448 tests */
 664
 665     if (!TEST_true(X448(out, in_scalar1, in_u1))
 666           || !TEST_int_eq(memcmp(out, out_u1, sizeof(out)), 0)
 667           || !TEST_true(X448(out, in_scalar2, in_u2))
 668           || !TEST_int_eq(memcmp(out, out_u2, sizeof(out)), 0))
 669         return 0;
 670
 671     memcpy(u, in_u3, sizeof(u));
 672     memcpy(k, in_u3, sizeof(k));
 673     for (i = 1; i <= max; i++) {
 674         if (verbose && i % 10000 == 0) {
 675             printf(".");
 676             fflush(stdout);
 677         }
 678
 679         if (!TEST_true(X448(out, k, u)))
 680             return 0;
 681
 682         if (i == 1 || i == 1000 || i == 1000000) {
 683             j++;
 684             if (!TEST_int_eq(memcmp(out, out_u3[j], sizeof(out)), 0)) {
 685                 TEST_info("Failed at iteration %d", i);
 686                 return 0;
 687             }
 688         }
 689         memcpy(u, k, sizeof(u));
 690         memcpy(k, out, sizeof(k));
 691     }
 692
 693     return 1;
 694 }
 695
 696 int setup_tests(void)
 697 {
 698     /*
 699      * The test vectors contain one test which takes a very long time to run,
 700      * so we don't do that be default. Using the -f option will cause it to be
 701      * run.
 702      */
 703     if (test_has_option("-f"))
 704         max = 1000000;
 705
 706     /* Print progress dots */
 707     if (test_has_option("-v"))
 708         verbose = 1;
 709
 710     ADD_TEST(test_x448);
 711     ADD_TEST(test_ed448);
 712     return 1;
 713 }