Maxim nexpaq / nexpaq_dev

Preliminary main mbed library for nexpaq development

features/mbedtls/src/bignum.c@1:d96dbedaebdb, 2016-11-04 (annotated)

Committer:
nexpaq
Date:
Fri Nov 04 20:54:50 2016 +0000
Revision:
1:d96dbedaebdb
Parent:
0:6c56fb4bc5f0 
Removed extra directories for other platforms

Who changed what in which revision?

UserRevisionLine numberNew contents of line
nexpaq 0:6c56fb4bc5f0 1 /*
nexpaq 0:6c56fb4bc5f0 2 * Multi-precision integer library
nexpaq 0:6c56fb4bc5f0 3 *
nexpaq 0:6c56fb4bc5f0 4 * Copyright (C) 2006-2015, ARM Limited, All Rights Reserved
nexpaq 0:6c56fb4bc5f0 5 * SPDX-License-Identifier: Apache-2.0
nexpaq 0:6c56fb4bc5f0 6 *
nexpaq 0:6c56fb4bc5f0 7 * Licensed under the Apache License, Version 2.0 (the "License"); you may
nexpaq 0:6c56fb4bc5f0 8 * not use this file except in compliance with the License.
nexpaq 0:6c56fb4bc5f0 9 * You may obtain a copy of the License at
nexpaq 0:6c56fb4bc5f0 10 *
nexpaq 0:6c56fb4bc5f0 11 * http://www.apache.org/licenses/LICENSE-2.0
nexpaq 0:6c56fb4bc5f0 12 *
nexpaq 0:6c56fb4bc5f0 13 * Unless required by applicable law or agreed to in writing, software
nexpaq 0:6c56fb4bc5f0 14 * distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
nexpaq 0:6c56fb4bc5f0 15 * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
nexpaq 0:6c56fb4bc5f0 16 * See the License for the specific language governing permissions and
nexpaq 0:6c56fb4bc5f0 17 * limitations under the License.
nexpaq 0:6c56fb4bc5f0 18 *
nexpaq 0:6c56fb4bc5f0 19 * This file is part of mbed TLS (https://tls.mbed.org)
nexpaq 0:6c56fb4bc5f0 20 */
nexpaq 0:6c56fb4bc5f0 21
nexpaq 0:6c56fb4bc5f0 22 /*
nexpaq 0:6c56fb4bc5f0 23 * The following sources were referenced in the design of this Multi-precision
nexpaq 0:6c56fb4bc5f0 24 * Integer library:
nexpaq 0:6c56fb4bc5f0 25 *
nexpaq 0:6c56fb4bc5f0 26 * [1] Handbook of Applied Cryptography - 1997
nexpaq 0:6c56fb4bc5f0 27 * Menezes, van Oorschot and Vanstone
nexpaq 0:6c56fb4bc5f0 28 *
nexpaq 0:6c56fb4bc5f0 29 * [2] Multi-Precision Math
nexpaq 0:6c56fb4bc5f0 30 * Tom St Denis
nexpaq 0:6c56fb4bc5f0 31 * https://github.com/libtom/libtommath/blob/develop/tommath.pdf
nexpaq 0:6c56fb4bc5f0 32 *
nexpaq 0:6c56fb4bc5f0 33 * [3] GNU Multi-Precision Arithmetic Library
nexpaq 0:6c56fb4bc5f0 34 * https://gmplib.org/manual/index.html
nexpaq 0:6c56fb4bc5f0 35 *
nexpaq 0:6c56fb4bc5f0 36 */
nexpaq 0:6c56fb4bc5f0 37
nexpaq 0:6c56fb4bc5f0 38 #if !defined(MBEDTLS_CONFIG_FILE)
nexpaq 0:6c56fb4bc5f0 39 #include "mbedtls/config.h"
nexpaq 0:6c56fb4bc5f0 40 #else
nexpaq 0:6c56fb4bc5f0 41 #include MBEDTLS_CONFIG_FILE
nexpaq 0:6c56fb4bc5f0 42 #endif
nexpaq 0:6c56fb4bc5f0 43
nexpaq 0:6c56fb4bc5f0 44 #if defined(MBEDTLS_BIGNUM_C)
nexpaq 0:6c56fb4bc5f0 45
nexpaq 0:6c56fb4bc5f0 46 #include "mbedtls/bignum.h"
nexpaq 0:6c56fb4bc5f0 47 #include "mbedtls/bn_mul.h"
nexpaq 0:6c56fb4bc5f0 48
nexpaq 0:6c56fb4bc5f0 49 #include <string.h>
nexpaq 0:6c56fb4bc5f0 50
nexpaq 0:6c56fb4bc5f0 51 #if defined(MBEDTLS_PLATFORM_C)
nexpaq 0:6c56fb4bc5f0 52 #include "mbedtls/platform.h"
nexpaq 0:6c56fb4bc5f0 53 #else
nexpaq 0:6c56fb4bc5f0 54 #include <stdio.h>
nexpaq 0:6c56fb4bc5f0 55 #include <stdlib.h>
nexpaq 0:6c56fb4bc5f0 56 #define mbedtls_printf printf
nexpaq 0:6c56fb4bc5f0 57 #define mbedtls_calloc calloc
nexpaq 0:6c56fb4bc5f0 58 #define mbedtls_free free
nexpaq 0:6c56fb4bc5f0 59 #endif
nexpaq 0:6c56fb4bc5f0 60
nexpaq 0:6c56fb4bc5f0 61 /* Implementation that should never be optimized out by the compiler */
nexpaq 0:6c56fb4bc5f0 62 static void mbedtls_mpi_zeroize( mbedtls_mpi_uint *v, size_t n ) {
nexpaq 0:6c56fb4bc5f0 63 volatile mbedtls_mpi_uint *p = v; while( n-- ) *p++ = 0;
nexpaq 0:6c56fb4bc5f0 64 }
nexpaq 0:6c56fb4bc5f0 65
nexpaq 0:6c56fb4bc5f0 66 #define ciL (sizeof(mbedtls_mpi_uint)) /* chars in limb */
nexpaq 0:6c56fb4bc5f0 67 #define biL (ciL << 3) /* bits in limb */
nexpaq 0:6c56fb4bc5f0 68 #define biH (ciL << 2) /* half limb size */
nexpaq 0:6c56fb4bc5f0 69
nexpaq 0:6c56fb4bc5f0 70 #define MPI_SIZE_T_MAX ( (size_t) -1 ) /* SIZE_T_MAX is not standard */
nexpaq 0:6c56fb4bc5f0 71
nexpaq 0:6c56fb4bc5f0 72 /*
nexpaq 0:6c56fb4bc5f0 73 * Convert between bits/chars and number of limbs
nexpaq 0:6c56fb4bc5f0 74 * Divide first in order to avoid potential overflows
nexpaq 0:6c56fb4bc5f0 75 */
nexpaq 0:6c56fb4bc5f0 76 #define BITS_TO_LIMBS(i) ( (i) / biL + ( (i) % biL != 0 ) )
nexpaq 0:6c56fb4bc5f0 77 #define CHARS_TO_LIMBS(i) ( (i) / ciL + ( (i) % ciL != 0 ) )
nexpaq 0:6c56fb4bc5f0 78
nexpaq 0:6c56fb4bc5f0 79 /*
nexpaq 0:6c56fb4bc5f0 80 * Initialize one MPI
nexpaq 0:6c56fb4bc5f0 81 */
nexpaq 0:6c56fb4bc5f0 82 void mbedtls_mpi_init( mbedtls_mpi *X )
nexpaq 0:6c56fb4bc5f0 83 {
nexpaq 0:6c56fb4bc5f0 84 if( X == NULL )
nexpaq 0:6c56fb4bc5f0 85 return;
nexpaq 0:6c56fb4bc5f0 86
nexpaq 0:6c56fb4bc5f0 87 X->s = 1;
nexpaq 0:6c56fb4bc5f0 88 X->n = 0;
nexpaq 0:6c56fb4bc5f0 89 X->p = NULL;
nexpaq 0:6c56fb4bc5f0 90 }
nexpaq 0:6c56fb4bc5f0 91
nexpaq 0:6c56fb4bc5f0 92 /*
nexpaq 0:6c56fb4bc5f0 93 * Unallocate one MPI
nexpaq 0:6c56fb4bc5f0 94 */
nexpaq 0:6c56fb4bc5f0 95 void mbedtls_mpi_free( mbedtls_mpi *X )
nexpaq 0:6c56fb4bc5f0 96 {
nexpaq 0:6c56fb4bc5f0 97 if( X == NULL )
nexpaq 0:6c56fb4bc5f0 98 return;
nexpaq 0:6c56fb4bc5f0 99
nexpaq 0:6c56fb4bc5f0 100 if( X->p != NULL )
nexpaq 0:6c56fb4bc5f0 101 {
nexpaq 0:6c56fb4bc5f0 102 mbedtls_mpi_zeroize( X->p, X->n );
nexpaq 0:6c56fb4bc5f0 103 mbedtls_free( X->p );
nexpaq 0:6c56fb4bc5f0 104 }
nexpaq 0:6c56fb4bc5f0 105
nexpaq 0:6c56fb4bc5f0 106 X->s = 1;
nexpaq 0:6c56fb4bc5f0 107 X->n = 0;
nexpaq 0:6c56fb4bc5f0 108 X->p = NULL;
nexpaq 0:6c56fb4bc5f0 109 }
nexpaq 0:6c56fb4bc5f0 110
nexpaq 0:6c56fb4bc5f0 111 /*
nexpaq 0:6c56fb4bc5f0 112 * Enlarge to the specified number of limbs
nexpaq 0:6c56fb4bc5f0 113 */
nexpaq 0:6c56fb4bc5f0 114 int mbedtls_mpi_grow( mbedtls_mpi *X, size_t nblimbs )
nexpaq 0:6c56fb4bc5f0 115 {
nexpaq 0:6c56fb4bc5f0 116 mbedtls_mpi_uint *p;
nexpaq 0:6c56fb4bc5f0 117
nexpaq 0:6c56fb4bc5f0 118 if( nblimbs > MBEDTLS_MPI_MAX_LIMBS )
nexpaq 0:6c56fb4bc5f0 119 return( MBEDTLS_ERR_MPI_ALLOC_FAILED );
nexpaq 0:6c56fb4bc5f0 120
nexpaq 0:6c56fb4bc5f0 121 if( X->n < nblimbs )
nexpaq 0:6c56fb4bc5f0 122 {
nexpaq 0:6c56fb4bc5f0 123 if( ( p = (mbedtls_mpi_uint*)mbedtls_calloc( nblimbs, ciL ) ) == NULL )
nexpaq 0:6c56fb4bc5f0 124 return( MBEDTLS_ERR_MPI_ALLOC_FAILED );
nexpaq 0:6c56fb4bc5f0 125
nexpaq 0:6c56fb4bc5f0 126 if( X->p != NULL )
nexpaq 0:6c56fb4bc5f0 127 {
nexpaq 0:6c56fb4bc5f0 128 memcpy( p, X->p, X->n * ciL );
nexpaq 0:6c56fb4bc5f0 129 mbedtls_mpi_zeroize( X->p, X->n );
nexpaq 0:6c56fb4bc5f0 130 mbedtls_free( X->p );
nexpaq 0:6c56fb4bc5f0 131 }
nexpaq 0:6c56fb4bc5f0 132
nexpaq 0:6c56fb4bc5f0 133 X->n = nblimbs;
nexpaq 0:6c56fb4bc5f0 134 X->p = p;
nexpaq 0:6c56fb4bc5f0 135 }
nexpaq 0:6c56fb4bc5f0 136
nexpaq 0:6c56fb4bc5f0 137 return( 0 );
nexpaq 0:6c56fb4bc5f0 138 }
nexpaq 0:6c56fb4bc5f0 139
nexpaq 0:6c56fb4bc5f0 140 /*
nexpaq 0:6c56fb4bc5f0 141 * Resize down as much as possible,
nexpaq 0:6c56fb4bc5f0 142 * while keeping at least the specified number of limbs
nexpaq 0:6c56fb4bc5f0 143 */
nexpaq 0:6c56fb4bc5f0 144 int mbedtls_mpi_shrink( mbedtls_mpi *X, size_t nblimbs )
nexpaq 0:6c56fb4bc5f0 145 {
nexpaq 0:6c56fb4bc5f0 146 mbedtls_mpi_uint *p;
nexpaq 0:6c56fb4bc5f0 147 size_t i;
nexpaq 0:6c56fb4bc5f0 148
nexpaq 0:6c56fb4bc5f0 149 /* Actually resize up in this case */
nexpaq 0:6c56fb4bc5f0 150 if( X->n <= nblimbs )
nexpaq 0:6c56fb4bc5f0 151 return( mbedtls_mpi_grow( X, nblimbs ) );
nexpaq 0:6c56fb4bc5f0 152
nexpaq 0:6c56fb4bc5f0 153 for( i = X->n - 1; i > 0; i-- )
nexpaq 0:6c56fb4bc5f0 154 if( X->p[i] != 0 )
nexpaq 0:6c56fb4bc5f0 155 break;
nexpaq 0:6c56fb4bc5f0 156 i++;
nexpaq 0:6c56fb4bc5f0 157
nexpaq 0:6c56fb4bc5f0 158 if( i < nblimbs )
nexpaq 0:6c56fb4bc5f0 159 i = nblimbs;
nexpaq 0:6c56fb4bc5f0 160
nexpaq 0:6c56fb4bc5f0 161 if( ( p = (mbedtls_mpi_uint*)mbedtls_calloc( i, ciL ) ) == NULL )
nexpaq 0:6c56fb4bc5f0 162 return( MBEDTLS_ERR_MPI_ALLOC_FAILED );
nexpaq 0:6c56fb4bc5f0 163
nexpaq 0:6c56fb4bc5f0 164 if( X->p != NULL )
nexpaq 0:6c56fb4bc5f0 165 {
nexpaq 0:6c56fb4bc5f0 166 memcpy( p, X->p, i * ciL );
nexpaq 0:6c56fb4bc5f0 167 mbedtls_mpi_zeroize( X->p, X->n );
nexpaq 0:6c56fb4bc5f0 168 mbedtls_free( X->p );
nexpaq 0:6c56fb4bc5f0 169 }
nexpaq 0:6c56fb4bc5f0 170
nexpaq 0:6c56fb4bc5f0 171 X->n = i;
nexpaq 0:6c56fb4bc5f0 172 X->p = p;
nexpaq 0:6c56fb4bc5f0 173
nexpaq 0:6c56fb4bc5f0 174 return( 0 );
nexpaq 0:6c56fb4bc5f0 175 }
nexpaq 0:6c56fb4bc5f0 176
nexpaq 0:6c56fb4bc5f0 177 /*
nexpaq 0:6c56fb4bc5f0 178 * Copy the contents of Y into X
nexpaq 0:6c56fb4bc5f0 179 */
nexpaq 0:6c56fb4bc5f0 180 int mbedtls_mpi_copy( mbedtls_mpi *X, const mbedtls_mpi *Y )
nexpaq 0:6c56fb4bc5f0 181 {
nexpaq 0:6c56fb4bc5f0 182 int ret;
nexpaq 0:6c56fb4bc5f0 183 size_t i;
nexpaq 0:6c56fb4bc5f0 184
nexpaq 0:6c56fb4bc5f0 185 if( X == Y )
nexpaq 0:6c56fb4bc5f0 186 return( 0 );
nexpaq 0:6c56fb4bc5f0 187
nexpaq 0:6c56fb4bc5f0 188 if( Y->p == NULL )
nexpaq 0:6c56fb4bc5f0 189 {
nexpaq 0:6c56fb4bc5f0 190 mbedtls_mpi_free( X );
nexpaq 0:6c56fb4bc5f0 191 return( 0 );
nexpaq 0:6c56fb4bc5f0 192 }
nexpaq 0:6c56fb4bc5f0 193
nexpaq 0:6c56fb4bc5f0 194 for( i = Y->n - 1; i > 0; i-- )
nexpaq 0:6c56fb4bc5f0 195 if( Y->p[i] != 0 )
nexpaq 0:6c56fb4bc5f0 196 break;
nexpaq 0:6c56fb4bc5f0 197 i++;
nexpaq 0:6c56fb4bc5f0 198
nexpaq 0:6c56fb4bc5f0 199 X->s = Y->s;
nexpaq 0:6c56fb4bc5f0 200
nexpaq 0:6c56fb4bc5f0 201 MBEDTLS_MPI_CHK( mbedtls_mpi_grow( X, i ) );
nexpaq 0:6c56fb4bc5f0 202
nexpaq 0:6c56fb4bc5f0 203 memset( X->p, 0, X->n * ciL );
nexpaq 0:6c56fb4bc5f0 204 memcpy( X->p, Y->p, i * ciL );
nexpaq 0:6c56fb4bc5f0 205
nexpaq 0:6c56fb4bc5f0 206 cleanup:
nexpaq 0:6c56fb4bc5f0 207
nexpaq 0:6c56fb4bc5f0 208 return( ret );
nexpaq 0:6c56fb4bc5f0 209 }
nexpaq 0:6c56fb4bc5f0 210
nexpaq 0:6c56fb4bc5f0 211 /*
nexpaq 0:6c56fb4bc5f0 212 * Swap the contents of X and Y
nexpaq 0:6c56fb4bc5f0 213 */
nexpaq 0:6c56fb4bc5f0 214 void mbedtls_mpi_swap( mbedtls_mpi *X, mbedtls_mpi *Y )
nexpaq 0:6c56fb4bc5f0 215 {
nexpaq 0:6c56fb4bc5f0 216 mbedtls_mpi T;
nexpaq 0:6c56fb4bc5f0 217
nexpaq 0:6c56fb4bc5f0 218 memcpy( &T, X, sizeof( mbedtls_mpi ) );
nexpaq 0:6c56fb4bc5f0 219 memcpy( X, Y, sizeof( mbedtls_mpi ) );
nexpaq 0:6c56fb4bc5f0 220 memcpy( Y, &T, sizeof( mbedtls_mpi ) );
nexpaq 0:6c56fb4bc5f0 221 }
nexpaq 0:6c56fb4bc5f0 222
nexpaq 0:6c56fb4bc5f0 223 /*
nexpaq 0:6c56fb4bc5f0 224 * Conditionally assign X = Y, without leaking information
nexpaq 0:6c56fb4bc5f0 225 * about whether the assignment was made or not.
nexpaq 0:6c56fb4bc5f0 226 * (Leaking information about the respective sizes of X and Y is ok however.)
nexpaq 0:6c56fb4bc5f0 227 */
nexpaq 0:6c56fb4bc5f0 228 int mbedtls_mpi_safe_cond_assign( mbedtls_mpi *X, const mbedtls_mpi *Y, unsigned char assign )
nexpaq 0:6c56fb4bc5f0 229 {
nexpaq 0:6c56fb4bc5f0 230 int ret = 0;
nexpaq 0:6c56fb4bc5f0 231 size_t i;
nexpaq 0:6c56fb4bc5f0 232
nexpaq 0:6c56fb4bc5f0 233 /* make sure assign is 0 or 1 in a time-constant manner */
nexpaq 0:6c56fb4bc5f0 234 assign = (assign | (unsigned char)-assign) >> 7;
nexpaq 0:6c56fb4bc5f0 235
nexpaq 0:6c56fb4bc5f0 236 MBEDTLS_MPI_CHK( mbedtls_mpi_grow( X, Y->n ) );
nexpaq 0:6c56fb4bc5f0 237
nexpaq 0:6c56fb4bc5f0 238 X->s = X->s * ( 1 - assign ) + Y->s * assign;
nexpaq 0:6c56fb4bc5f0 239
nexpaq 0:6c56fb4bc5f0 240 for( i = 0; i < Y->n; i++ )
nexpaq 0:6c56fb4bc5f0 241 X->p[i] = X->p[i] * ( 1 - assign ) + Y->p[i] * assign;
nexpaq 0:6c56fb4bc5f0 242
nexpaq 0:6c56fb4bc5f0 243 for( ; i < X->n; i++ )
nexpaq 0:6c56fb4bc5f0 244 X->p[i] *= ( 1 - assign );
nexpaq 0:6c56fb4bc5f0 245
nexpaq 0:6c56fb4bc5f0 246 cleanup:
nexpaq 0:6c56fb4bc5f0 247 return( ret );
nexpaq 0:6c56fb4bc5f0 248 }
nexpaq 0:6c56fb4bc5f0 249
nexpaq 0:6c56fb4bc5f0 250 /*
nexpaq 0:6c56fb4bc5f0 251 * Conditionally swap X and Y, without leaking information
nexpaq 0:6c56fb4bc5f0 252 * about whether the swap was made or not.
nexpaq 0:6c56fb4bc5f0 253 * Here it is not ok to simply swap the pointers, which whould lead to
nexpaq 0:6c56fb4bc5f0 254 * different memory access patterns when X and Y are used afterwards.
nexpaq 0:6c56fb4bc5f0 255 */
nexpaq 0:6c56fb4bc5f0 256 int mbedtls_mpi_safe_cond_swap( mbedtls_mpi *X, mbedtls_mpi *Y, unsigned char swap )
nexpaq 0:6c56fb4bc5f0 257 {
nexpaq 0:6c56fb4bc5f0 258 int ret, s;
nexpaq 0:6c56fb4bc5f0 259 size_t i;
nexpaq 0:6c56fb4bc5f0 260 mbedtls_mpi_uint tmp;
nexpaq 0:6c56fb4bc5f0 261
nexpaq 0:6c56fb4bc5f0 262 if( X == Y )
nexpaq 0:6c56fb4bc5f0 263 return( 0 );
nexpaq 0:6c56fb4bc5f0 264
nexpaq 0:6c56fb4bc5f0 265 /* make sure swap is 0 or 1 in a time-constant manner */
nexpaq 0:6c56fb4bc5f0 266 swap = (swap | (unsigned char)-swap) >> 7;
nexpaq 0:6c56fb4bc5f0 267
nexpaq 0:6c56fb4bc5f0 268 MBEDTLS_MPI_CHK( mbedtls_mpi_grow( X, Y->n ) );
nexpaq 0:6c56fb4bc5f0 269 MBEDTLS_MPI_CHK( mbedtls_mpi_grow( Y, X->n ) );
nexpaq 0:6c56fb4bc5f0 270
nexpaq 0:6c56fb4bc5f0 271 s = X->s;
nexpaq 0:6c56fb4bc5f0 272 X->s = X->s * ( 1 - swap ) + Y->s * swap;
nexpaq 0:6c56fb4bc5f0 273 Y->s = Y->s * ( 1 - swap ) + s * swap;
nexpaq 0:6c56fb4bc5f0 274
nexpaq 0:6c56fb4bc5f0 275
nexpaq 0:6c56fb4bc5f0 276 for( i = 0; i < X->n; i++ )
nexpaq 0:6c56fb4bc5f0 277 {
nexpaq 0:6c56fb4bc5f0 278 tmp = X->p[i];
nexpaq 0:6c56fb4bc5f0 279 X->p[i] = X->p[i] * ( 1 - swap ) + Y->p[i] * swap;
nexpaq 0:6c56fb4bc5f0 280 Y->p[i] = Y->p[i] * ( 1 - swap ) + tmp * swap;
nexpaq 0:6c56fb4bc5f0 281 }
nexpaq 0:6c56fb4bc5f0 282
nexpaq 0:6c56fb4bc5f0 283 cleanup:
nexpaq 0:6c56fb4bc5f0 284 return( ret );
nexpaq 0:6c56fb4bc5f0 285 }
nexpaq 0:6c56fb4bc5f0 286
nexpaq 0:6c56fb4bc5f0 287 /*
nexpaq 0:6c56fb4bc5f0 288 * Set value from integer
nexpaq 0:6c56fb4bc5f0 289 */
nexpaq 0:6c56fb4bc5f0 290 int mbedtls_mpi_lset( mbedtls_mpi *X, mbedtls_mpi_sint z )
nexpaq 0:6c56fb4bc5f0 291 {
nexpaq 0:6c56fb4bc5f0 292 int ret;
nexpaq 0:6c56fb4bc5f0 293
nexpaq 0:6c56fb4bc5f0 294 MBEDTLS_MPI_CHK( mbedtls_mpi_grow( X, 1 ) );
nexpaq 0:6c56fb4bc5f0 295 memset( X->p, 0, X->n * ciL );
nexpaq 0:6c56fb4bc5f0 296
nexpaq 0:6c56fb4bc5f0 297 X->p[0] = ( z < 0 ) ? -z : z;
nexpaq 0:6c56fb4bc5f0 298 X->s = ( z < 0 ) ? -1 : 1;
nexpaq 0:6c56fb4bc5f0 299
nexpaq 0:6c56fb4bc5f0 300 cleanup:
nexpaq 0:6c56fb4bc5f0 301
nexpaq 0:6c56fb4bc5f0 302 return( ret );
nexpaq 0:6c56fb4bc5f0 303 }
nexpaq 0:6c56fb4bc5f0 304
nexpaq 0:6c56fb4bc5f0 305 /*
nexpaq 0:6c56fb4bc5f0 306 * Get a specific bit
nexpaq 0:6c56fb4bc5f0 307 */
nexpaq 0:6c56fb4bc5f0 308 int mbedtls_mpi_get_bit( const mbedtls_mpi *X, size_t pos )
nexpaq 0:6c56fb4bc5f0 309 {
nexpaq 0:6c56fb4bc5f0 310 if( X->n * biL <= pos )
nexpaq 0:6c56fb4bc5f0 311 return( 0 );
nexpaq 0:6c56fb4bc5f0 312
nexpaq 0:6c56fb4bc5f0 313 return( ( X->p[pos / biL] >> ( pos % biL ) ) & 0x01 );
nexpaq 0:6c56fb4bc5f0 314 }
nexpaq 0:6c56fb4bc5f0 315
nexpaq 0:6c56fb4bc5f0 316 /*
nexpaq 0:6c56fb4bc5f0 317 * Set a bit to a specific value of 0 or 1
nexpaq 0:6c56fb4bc5f0 318 */
nexpaq 0:6c56fb4bc5f0 319 int mbedtls_mpi_set_bit( mbedtls_mpi *X, size_t pos, unsigned char val )
nexpaq 0:6c56fb4bc5f0 320 {
nexpaq 0:6c56fb4bc5f0 321 int ret = 0;
nexpaq 0:6c56fb4bc5f0 322 size_t off = pos / biL;
nexpaq 0:6c56fb4bc5f0 323 size_t idx = pos % biL;
nexpaq 0:6c56fb4bc5f0 324
nexpaq 0:6c56fb4bc5f0 325 if( val != 0 && val != 1 )
nexpaq 0:6c56fb4bc5f0 326 return( MBEDTLS_ERR_MPI_BAD_INPUT_DATA );
nexpaq 0:6c56fb4bc5f0 327
nexpaq 0:6c56fb4bc5f0 328 if( X->n * biL <= pos )
nexpaq 0:6c56fb4bc5f0 329 {
nexpaq 0:6c56fb4bc5f0 330 if( val == 0 )
nexpaq 0:6c56fb4bc5f0 331 return( 0 );
nexpaq 0:6c56fb4bc5f0 332
nexpaq 0:6c56fb4bc5f0 333 MBEDTLS_MPI_CHK( mbedtls_mpi_grow( X, off + 1 ) );
nexpaq 0:6c56fb4bc5f0 334 }
nexpaq 0:6c56fb4bc5f0 335
nexpaq 0:6c56fb4bc5f0 336 X->p[off] &= ~( (mbedtls_mpi_uint) 0x01 << idx );
nexpaq 0:6c56fb4bc5f0 337 X->p[off] |= (mbedtls_mpi_uint) val << idx;
nexpaq 0:6c56fb4bc5f0 338
nexpaq 0:6c56fb4bc5f0 339 cleanup:
nexpaq 0:6c56fb4bc5f0 340
nexpaq 0:6c56fb4bc5f0 341 return( ret );
nexpaq 0:6c56fb4bc5f0 342 }
nexpaq 0:6c56fb4bc5f0 343
nexpaq 0:6c56fb4bc5f0 344 /*
nexpaq 0:6c56fb4bc5f0 345 * Return the number of less significant zero-bits
nexpaq 0:6c56fb4bc5f0 346 */
nexpaq 0:6c56fb4bc5f0 347 size_t mbedtls_mpi_lsb( const mbedtls_mpi *X )
nexpaq 0:6c56fb4bc5f0 348 {
nexpaq 0:6c56fb4bc5f0 349 size_t i, j, count = 0;
nexpaq 0:6c56fb4bc5f0 350
nexpaq 0:6c56fb4bc5f0 351 for( i = 0; i < X->n; i++ )
nexpaq 0:6c56fb4bc5f0 352 for( j = 0; j < biL; j++, count++ )
nexpaq 0:6c56fb4bc5f0 353 if( ( ( X->p[i] >> j ) & 1 ) != 0 )
nexpaq 0:6c56fb4bc5f0 354 return( count );
nexpaq 0:6c56fb4bc5f0 355
nexpaq 0:6c56fb4bc5f0 356 return( 0 );
nexpaq 0:6c56fb4bc5f0 357 }
nexpaq 0:6c56fb4bc5f0 358
nexpaq 0:6c56fb4bc5f0 359 /*
nexpaq 0:6c56fb4bc5f0 360 * Count leading zero bits in a given integer
nexpaq 0:6c56fb4bc5f0 361 */
nexpaq 0:6c56fb4bc5f0 362 static size_t mbedtls_clz( const mbedtls_mpi_uint x )
nexpaq 0:6c56fb4bc5f0 363 {
nexpaq 0:6c56fb4bc5f0 364 size_t j;
nexpaq 0:6c56fb4bc5f0 365 mbedtls_mpi_uint mask = (mbedtls_mpi_uint) 1 << (biL - 1);
nexpaq 0:6c56fb4bc5f0 366
nexpaq 0:6c56fb4bc5f0 367 for( j = 0; j < biL; j++ )
nexpaq 0:6c56fb4bc5f0 368 {
nexpaq 0:6c56fb4bc5f0 369 if( x & mask ) break;
nexpaq 0:6c56fb4bc5f0 370
nexpaq 0:6c56fb4bc5f0 371 mask >>= 1;
nexpaq 0:6c56fb4bc5f0 372 }
nexpaq 0:6c56fb4bc5f0 373
nexpaq 0:6c56fb4bc5f0 374 return j;
nexpaq 0:6c56fb4bc5f0 375 }
nexpaq 0:6c56fb4bc5f0 376
nexpaq 0:6c56fb4bc5f0 377 /*
nexpaq 0:6c56fb4bc5f0 378 * Return the number of bits
nexpaq 0:6c56fb4bc5f0 379 */
nexpaq 0:6c56fb4bc5f0 380 size_t mbedtls_mpi_bitlen( const mbedtls_mpi *X )
nexpaq 0:6c56fb4bc5f0 381 {
nexpaq 0:6c56fb4bc5f0 382 size_t i, j;
nexpaq 0:6c56fb4bc5f0 383
nexpaq 0:6c56fb4bc5f0 384 if( X->n == 0 )
nexpaq 0:6c56fb4bc5f0 385 return( 0 );
nexpaq 0:6c56fb4bc5f0 386
nexpaq 0:6c56fb4bc5f0 387 for( i = X->n - 1; i > 0; i-- )
nexpaq 0:6c56fb4bc5f0 388 if( X->p[i] != 0 )
nexpaq 0:6c56fb4bc5f0 389 break;
nexpaq 0:6c56fb4bc5f0 390
nexpaq 0:6c56fb4bc5f0 391 j = biL - mbedtls_clz( X->p[i] );
nexpaq 0:6c56fb4bc5f0 392
nexpaq 0:6c56fb4bc5f0 393 return( ( i * biL ) + j );
nexpaq 0:6c56fb4bc5f0 394 }
nexpaq 0:6c56fb4bc5f0 395
nexpaq 0:6c56fb4bc5f0 396 /*
nexpaq 0:6c56fb4bc5f0 397 * Return the total size in bytes
nexpaq 0:6c56fb4bc5f0 398 */
nexpaq 0:6c56fb4bc5f0 399 size_t mbedtls_mpi_size( const mbedtls_mpi *X )
nexpaq 0:6c56fb4bc5f0 400 {
nexpaq 0:6c56fb4bc5f0 401 return( ( mbedtls_mpi_bitlen( X ) + 7 ) >> 3 );
nexpaq 0:6c56fb4bc5f0 402 }
nexpaq 0:6c56fb4bc5f0 403
nexpaq 0:6c56fb4bc5f0 404 /*
nexpaq 0:6c56fb4bc5f0 405 * Convert an ASCII character to digit value
nexpaq 0:6c56fb4bc5f0 406 */
nexpaq 0:6c56fb4bc5f0 407 static int mpi_get_digit( mbedtls_mpi_uint *d, int radix, char c )
nexpaq 0:6c56fb4bc5f0 408 {
nexpaq 0:6c56fb4bc5f0 409 *d = 255;
nexpaq 0:6c56fb4bc5f0 410
nexpaq 0:6c56fb4bc5f0 411 if( c >= 0x30 && c <= 0x39 ) *d = c - 0x30;
nexpaq 0:6c56fb4bc5f0 412 if( c >= 0x41 && c <= 0x46 ) *d = c - 0x37;
nexpaq 0:6c56fb4bc5f0 413 if( c >= 0x61 && c <= 0x66 ) *d = c - 0x57;
nexpaq 0:6c56fb4bc5f0 414
nexpaq 0:6c56fb4bc5f0 415 if( *d >= (mbedtls_mpi_uint) radix )
nexpaq 0:6c56fb4bc5f0 416 return( MBEDTLS_ERR_MPI_INVALID_CHARACTER );
nexpaq 0:6c56fb4bc5f0 417
nexpaq 0:6c56fb4bc5f0 418 return( 0 );
nexpaq 0:6c56fb4bc5f0 419 }
nexpaq 0:6c56fb4bc5f0 420
nexpaq 0:6c56fb4bc5f0 421 /*
nexpaq 0:6c56fb4bc5f0 422 * Import from an ASCII string
nexpaq 0:6c56fb4bc5f0 423 */
nexpaq 0:6c56fb4bc5f0 424 int mbedtls_mpi_read_string( mbedtls_mpi *X, int radix, const char *s )
nexpaq 0:6c56fb4bc5f0 425 {
nexpaq 0:6c56fb4bc5f0 426 int ret;
nexpaq 0:6c56fb4bc5f0 427 size_t i, j, slen, n;
nexpaq 0:6c56fb4bc5f0 428 mbedtls_mpi_uint d;
nexpaq 0:6c56fb4bc5f0 429 mbedtls_mpi T;
nexpaq 0:6c56fb4bc5f0 430
nexpaq 0:6c56fb4bc5f0 431 if( radix < 2 || radix > 16 )
nexpaq 0:6c56fb4bc5f0 432 return( MBEDTLS_ERR_MPI_BAD_INPUT_DATA );
nexpaq 0:6c56fb4bc5f0 433
nexpaq 0:6c56fb4bc5f0 434 mbedtls_mpi_init( &T );
nexpaq 0:6c56fb4bc5f0 435
nexpaq 0:6c56fb4bc5f0 436 slen = strlen( s );
nexpaq 0:6c56fb4bc5f0 437
nexpaq 0:6c56fb4bc5f0 438 if( radix == 16 )
nexpaq 0:6c56fb4bc5f0 439 {
nexpaq 0:6c56fb4bc5f0 440 if( slen > MPI_SIZE_T_MAX >> 2 )
nexpaq 0:6c56fb4bc5f0 441 return( MBEDTLS_ERR_MPI_BAD_INPUT_DATA );
nexpaq 0:6c56fb4bc5f0 442
nexpaq 0:6c56fb4bc5f0 443 n = BITS_TO_LIMBS( slen << 2 );
nexpaq 0:6c56fb4bc5f0 444
nexpaq 0:6c56fb4bc5f0 445 MBEDTLS_MPI_CHK( mbedtls_mpi_grow( X, n ) );
nexpaq 0:6c56fb4bc5f0 446 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( X, 0 ) );
nexpaq 0:6c56fb4bc5f0 447
nexpaq 0:6c56fb4bc5f0 448 for( i = slen, j = 0; i > 0; i--, j++ )
nexpaq 0:6c56fb4bc5f0 449 {
nexpaq 0:6c56fb4bc5f0 450 if( i == 1 && s[i - 1] == '-' )
nexpaq 0:6c56fb4bc5f0 451 {
nexpaq 0:6c56fb4bc5f0 452 X->s = -1;
nexpaq 0:6c56fb4bc5f0 453 break;
nexpaq 0:6c56fb4bc5f0 454 }
nexpaq 0:6c56fb4bc5f0 455
nexpaq 0:6c56fb4bc5f0 456 MBEDTLS_MPI_CHK( mpi_get_digit( &d, radix, s[i - 1] ) );
nexpaq 0:6c56fb4bc5f0 457 X->p[j / ( 2 * ciL )] |= d << ( ( j % ( 2 * ciL ) ) << 2 );
nexpaq 0:6c56fb4bc5f0 458 }
nexpaq 0:6c56fb4bc5f0 459 }
nexpaq 0:6c56fb4bc5f0 460 else
nexpaq 0:6c56fb4bc5f0 461 {
nexpaq 0:6c56fb4bc5f0 462 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( X, 0 ) );
nexpaq 0:6c56fb4bc5f0 463
nexpaq 0:6c56fb4bc5f0 464 for( i = 0; i < slen; i++ )
nexpaq 0:6c56fb4bc5f0 465 {
nexpaq 0:6c56fb4bc5f0 466 if( i == 0 && s[i] == '-' )
nexpaq 0:6c56fb4bc5f0 467 {
nexpaq 0:6c56fb4bc5f0 468 X->s = -1;
nexpaq 0:6c56fb4bc5f0 469 continue;
nexpaq 0:6c56fb4bc5f0 470 }
nexpaq 0:6c56fb4bc5f0 471
nexpaq 0:6c56fb4bc5f0 472 MBEDTLS_MPI_CHK( mpi_get_digit( &d, radix, s[i] ) );
nexpaq 0:6c56fb4bc5f0 473 MBEDTLS_MPI_CHK( mbedtls_mpi_mul_int( &T, X, radix ) );
nexpaq 0:6c56fb4bc5f0 474
nexpaq 0:6c56fb4bc5f0 475 if( X->s == 1 )
nexpaq 0:6c56fb4bc5f0 476 {
nexpaq 0:6c56fb4bc5f0 477 MBEDTLS_MPI_CHK( mbedtls_mpi_add_int( X, &T, d ) );
nexpaq 0:6c56fb4bc5f0 478 }
nexpaq 0:6c56fb4bc5f0 479 else
nexpaq 0:6c56fb4bc5f0 480 {
nexpaq 0:6c56fb4bc5f0 481 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( X, &T, d ) );
nexpaq 0:6c56fb4bc5f0 482 }
nexpaq 0:6c56fb4bc5f0 483 }
nexpaq 0:6c56fb4bc5f0 484 }
nexpaq 0:6c56fb4bc5f0 485
nexpaq 0:6c56fb4bc5f0 486 cleanup:
nexpaq 0:6c56fb4bc5f0 487
nexpaq 0:6c56fb4bc5f0 488 mbedtls_mpi_free( &T );
nexpaq 0:6c56fb4bc5f0 489
nexpaq 0:6c56fb4bc5f0 490 return( ret );
nexpaq 0:6c56fb4bc5f0 491 }
nexpaq 0:6c56fb4bc5f0 492
nexpaq 0:6c56fb4bc5f0 493 /*
nexpaq 0:6c56fb4bc5f0 494 * Helper to write the digits high-order first
nexpaq 0:6c56fb4bc5f0 495 */
nexpaq 0:6c56fb4bc5f0 496 static int mpi_write_hlp( mbedtls_mpi *X, int radix, char **p )
nexpaq 0:6c56fb4bc5f0 497 {
nexpaq 0:6c56fb4bc5f0 498 int ret;
nexpaq 0:6c56fb4bc5f0 499 mbedtls_mpi_uint r;
nexpaq 0:6c56fb4bc5f0 500
nexpaq 0:6c56fb4bc5f0 501 if( radix < 2 || radix > 16 )
nexpaq 0:6c56fb4bc5f0 502 return( MBEDTLS_ERR_MPI_BAD_INPUT_DATA );
nexpaq 0:6c56fb4bc5f0 503
nexpaq 0:6c56fb4bc5f0 504 MBEDTLS_MPI_CHK( mbedtls_mpi_mod_int( &r, X, radix ) );
nexpaq 0:6c56fb4bc5f0 505 MBEDTLS_MPI_CHK( mbedtls_mpi_div_int( X, NULL, X, radix ) );
nexpaq 0:6c56fb4bc5f0 506
nexpaq 0:6c56fb4bc5f0 507 if( mbedtls_mpi_cmp_int( X, 0 ) != 0 )
nexpaq 0:6c56fb4bc5f0 508 MBEDTLS_MPI_CHK( mpi_write_hlp( X, radix, p ) );
nexpaq 0:6c56fb4bc5f0 509
nexpaq 0:6c56fb4bc5f0 510 if( r < 10 )
nexpaq 0:6c56fb4bc5f0 511 *(*p)++ = (char)( r + 0x30 );
nexpaq 0:6c56fb4bc5f0 512 else
nexpaq 0:6c56fb4bc5f0 513 *(*p)++ = (char)( r + 0x37 );
nexpaq 0:6c56fb4bc5f0 514
nexpaq 0:6c56fb4bc5f0 515 cleanup:
nexpaq 0:6c56fb4bc5f0 516
nexpaq 0:6c56fb4bc5f0 517 return( ret );
nexpaq 0:6c56fb4bc5f0 518 }
nexpaq 0:6c56fb4bc5f0 519
nexpaq 0:6c56fb4bc5f0 520 /*
nexpaq 0:6c56fb4bc5f0 521 * Export into an ASCII string
nexpaq 0:6c56fb4bc5f0 522 */
nexpaq 0:6c56fb4bc5f0 523 int mbedtls_mpi_write_string( const mbedtls_mpi *X, int radix,
nexpaq 0:6c56fb4bc5f0 524 char *buf, size_t buflen, size_t *olen )
nexpaq 0:6c56fb4bc5f0 525 {
nexpaq 0:6c56fb4bc5f0 526 int ret = 0;
nexpaq 0:6c56fb4bc5f0 527 size_t n;
nexpaq 0:6c56fb4bc5f0 528 char *p;
nexpaq 0:6c56fb4bc5f0 529 mbedtls_mpi T;
nexpaq 0:6c56fb4bc5f0 530
nexpaq 0:6c56fb4bc5f0 531 if( radix < 2 || radix > 16 )
nexpaq 0:6c56fb4bc5f0 532 return( MBEDTLS_ERR_MPI_BAD_INPUT_DATA );
nexpaq 0:6c56fb4bc5f0 533
nexpaq 0:6c56fb4bc5f0 534 n = mbedtls_mpi_bitlen( X );
nexpaq 0:6c56fb4bc5f0 535 if( radix >= 4 ) n >>= 1;
nexpaq 0:6c56fb4bc5f0 536 if( radix >= 16 ) n >>= 1;
nexpaq 0:6c56fb4bc5f0 537 n += 3;
nexpaq 0:6c56fb4bc5f0 538
nexpaq 0:6c56fb4bc5f0 539 if( buflen < n )
nexpaq 0:6c56fb4bc5f0 540 {
nexpaq 0:6c56fb4bc5f0 541 *olen = n;
nexpaq 0:6c56fb4bc5f0 542 return( MBEDTLS_ERR_MPI_BUFFER_TOO_SMALL );
nexpaq 0:6c56fb4bc5f0 543 }
nexpaq 0:6c56fb4bc5f0 544
nexpaq 0:6c56fb4bc5f0 545 p = buf;
nexpaq 0:6c56fb4bc5f0 546 mbedtls_mpi_init( &T );
nexpaq 0:6c56fb4bc5f0 547
nexpaq 0:6c56fb4bc5f0 548 if( X->s == -1 )
nexpaq 0:6c56fb4bc5f0 549 *p++ = '-';
nexpaq 0:6c56fb4bc5f0 550
nexpaq 0:6c56fb4bc5f0 551 if( radix == 16 )
nexpaq 0:6c56fb4bc5f0 552 {
nexpaq 0:6c56fb4bc5f0 553 int c;
nexpaq 0:6c56fb4bc5f0 554 size_t i, j, k;
nexpaq 0:6c56fb4bc5f0 555
nexpaq 0:6c56fb4bc5f0 556 for( i = X->n, k = 0; i > 0; i-- )
nexpaq 0:6c56fb4bc5f0 557 {
nexpaq 0:6c56fb4bc5f0 558 for( j = ciL; j > 0; j-- )
nexpaq 0:6c56fb4bc5f0 559 {
nexpaq 0:6c56fb4bc5f0 560 c = ( X->p[i - 1] >> ( ( j - 1 ) << 3) ) & 0xFF;
nexpaq 0:6c56fb4bc5f0 561
nexpaq 0:6c56fb4bc5f0 562 if( c == 0 && k == 0 && ( i + j ) != 2 )
nexpaq 0:6c56fb4bc5f0 563 continue;
nexpaq 0:6c56fb4bc5f0 564
nexpaq 0:6c56fb4bc5f0 565 *(p++) = "0123456789ABCDEF" [c / 16];
nexpaq 0:6c56fb4bc5f0 566 *(p++) = "0123456789ABCDEF" [c % 16];
nexpaq 0:6c56fb4bc5f0 567 k = 1;
nexpaq 0:6c56fb4bc5f0 568 }
nexpaq 0:6c56fb4bc5f0 569 }
nexpaq 0:6c56fb4bc5f0 570 }
nexpaq 0:6c56fb4bc5f0 571 else
nexpaq 0:6c56fb4bc5f0 572 {
nexpaq 0:6c56fb4bc5f0 573 MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &T, X ) );
nexpaq 0:6c56fb4bc5f0 574
nexpaq 0:6c56fb4bc5f0 575 if( T.s == -1 )
nexpaq 0:6c56fb4bc5f0 576 T.s = 1;
nexpaq 0:6c56fb4bc5f0 577
nexpaq 0:6c56fb4bc5f0 578 MBEDTLS_MPI_CHK( mpi_write_hlp( &T, radix, &p ) );
nexpaq 0:6c56fb4bc5f0 579 }
nexpaq 0:6c56fb4bc5f0 580
nexpaq 0:6c56fb4bc5f0 581 *p++ = '\0';
nexpaq 0:6c56fb4bc5f0 582 *olen = p - buf;
nexpaq 0:6c56fb4bc5f0 583
nexpaq 0:6c56fb4bc5f0 584 cleanup:
nexpaq 0:6c56fb4bc5f0 585
nexpaq 0:6c56fb4bc5f0 586 mbedtls_mpi_free( &T );
nexpaq 0:6c56fb4bc5f0 587
nexpaq 0:6c56fb4bc5f0 588 return( ret );
nexpaq 0:6c56fb4bc5f0 589 }
nexpaq 0:6c56fb4bc5f0 590
nexpaq 0:6c56fb4bc5f0 591 #if defined(MBEDTLS_FS_IO)
nexpaq 0:6c56fb4bc5f0 592 /*
nexpaq 0:6c56fb4bc5f0 593 * Read X from an opened file
nexpaq 0:6c56fb4bc5f0 594 */
nexpaq 0:6c56fb4bc5f0 595 int mbedtls_mpi_read_file( mbedtls_mpi *X, int radix, FILE *fin )
nexpaq 0:6c56fb4bc5f0 596 {
nexpaq 0:6c56fb4bc5f0 597 mbedtls_mpi_uint d;
nexpaq 0:6c56fb4bc5f0 598 size_t slen;
nexpaq 0:6c56fb4bc5f0 599 char *p;
nexpaq 0:6c56fb4bc5f0 600 /*
nexpaq 0:6c56fb4bc5f0 601 * Buffer should have space for (short) label and decimal formatted MPI,
nexpaq 0:6c56fb4bc5f0 602 * newline characters and '\0'
nexpaq 0:6c56fb4bc5f0 603 */
nexpaq 0:6c56fb4bc5f0 604 char s[ MBEDTLS_MPI_RW_BUFFER_SIZE ];
nexpaq 0:6c56fb4bc5f0 605
nexpaq 0:6c56fb4bc5f0 606 memset( s, 0, sizeof( s ) );
nexpaq 0:6c56fb4bc5f0 607 if( fgets( s, sizeof( s ) - 1, fin ) == NULL )
nexpaq 0:6c56fb4bc5f0 608 return( MBEDTLS_ERR_MPI_FILE_IO_ERROR );
nexpaq 0:6c56fb4bc5f0 609
nexpaq 0:6c56fb4bc5f0 610 slen = strlen( s );
nexpaq 0:6c56fb4bc5f0 611 if( slen == sizeof( s ) - 2 )
nexpaq 0:6c56fb4bc5f0 612 return( MBEDTLS_ERR_MPI_BUFFER_TOO_SMALL );
nexpaq 0:6c56fb4bc5f0 613
nexpaq 0:6c56fb4bc5f0 614 if( s[slen - 1] == '\n' ) { slen--; s[slen] = '\0'; }
nexpaq 0:6c56fb4bc5f0 615 if( s[slen - 1] == '\r' ) { slen--; s[slen] = '\0'; }
nexpaq 0:6c56fb4bc5f0 616
nexpaq 0:6c56fb4bc5f0 617 p = s + slen;
nexpaq 0:6c56fb4bc5f0 618 while( --p >= s )
nexpaq 0:6c56fb4bc5f0 619 if( mpi_get_digit( &d, radix, *p ) != 0 )
nexpaq 0:6c56fb4bc5f0 620 break;
nexpaq 0:6c56fb4bc5f0 621
nexpaq 0:6c56fb4bc5f0 622 return( mbedtls_mpi_read_string( X, radix, p + 1 ) );
nexpaq 0:6c56fb4bc5f0 623 }
nexpaq 0:6c56fb4bc5f0 624
nexpaq 0:6c56fb4bc5f0 625 /*
nexpaq 0:6c56fb4bc5f0 626 * Write X into an opened file (or stdout if fout == NULL)
nexpaq 0:6c56fb4bc5f0 627 */
nexpaq 0:6c56fb4bc5f0 628 int mbedtls_mpi_write_file( const char *p, const mbedtls_mpi *X, int radix, FILE *fout )
nexpaq 0:6c56fb4bc5f0 629 {
nexpaq 0:6c56fb4bc5f0 630 int ret;
nexpaq 0:6c56fb4bc5f0 631 size_t n, slen, plen;
nexpaq 0:6c56fb4bc5f0 632 /*
nexpaq 0:6c56fb4bc5f0 633 * Buffer should have space for (short) label and decimal formatted MPI,
nexpaq 0:6c56fb4bc5f0 634 * newline characters and '\0'
nexpaq 0:6c56fb4bc5f0 635 */
nexpaq 0:6c56fb4bc5f0 636 char s[ MBEDTLS_MPI_RW_BUFFER_SIZE ];
nexpaq 0:6c56fb4bc5f0 637
nexpaq 0:6c56fb4bc5f0 638 memset( s, 0, sizeof( s ) );
nexpaq 0:6c56fb4bc5f0 639
nexpaq 0:6c56fb4bc5f0 640 MBEDTLS_MPI_CHK( mbedtls_mpi_write_string( X, radix, s, sizeof( s ) - 2, &n ) );
nexpaq 0:6c56fb4bc5f0 641
nexpaq 0:6c56fb4bc5f0 642 if( p == NULL ) p = "";
nexpaq 0:6c56fb4bc5f0 643
nexpaq 0:6c56fb4bc5f0 644 plen = strlen( p );
nexpaq 0:6c56fb4bc5f0 645 slen = strlen( s );
nexpaq 0:6c56fb4bc5f0 646 s[slen++] = '\r';
nexpaq 0:6c56fb4bc5f0 647 s[slen++] = '\n';
nexpaq 0:6c56fb4bc5f0 648
nexpaq 0:6c56fb4bc5f0 649 if( fout != NULL )
nexpaq 0:6c56fb4bc5f0 650 {
nexpaq 0:6c56fb4bc5f0 651 if( fwrite( p, 1, plen, fout ) != plen ||
nexpaq 0:6c56fb4bc5f0 652 fwrite( s, 1, slen, fout ) != slen )
nexpaq 0:6c56fb4bc5f0 653 return( MBEDTLS_ERR_MPI_FILE_IO_ERROR );
nexpaq 0:6c56fb4bc5f0 654 }
nexpaq 0:6c56fb4bc5f0 655 else
nexpaq 0:6c56fb4bc5f0 656 mbedtls_printf( "%s%s", p, s );
nexpaq 0:6c56fb4bc5f0 657
nexpaq 0:6c56fb4bc5f0 658 cleanup:
nexpaq 0:6c56fb4bc5f0 659
nexpaq 0:6c56fb4bc5f0 660 return( ret );
nexpaq 0:6c56fb4bc5f0 661 }
nexpaq 0:6c56fb4bc5f0 662 #endif /* MBEDTLS_FS_IO */
nexpaq 0:6c56fb4bc5f0 663
nexpaq 0:6c56fb4bc5f0 664 /*
nexpaq 0:6c56fb4bc5f0 665 * Import X from unsigned binary data, big endian
nexpaq 0:6c56fb4bc5f0 666 */
nexpaq 0:6c56fb4bc5f0 667 int mbedtls_mpi_read_binary( mbedtls_mpi *X, const unsigned char *buf, size_t buflen )
nexpaq 0:6c56fb4bc5f0 668 {
nexpaq 0:6c56fb4bc5f0 669 int ret;
nexpaq 0:6c56fb4bc5f0 670 size_t i, j, n;
nexpaq 0:6c56fb4bc5f0 671
nexpaq 0:6c56fb4bc5f0 672 for( n = 0; n < buflen; n++ )
nexpaq 0:6c56fb4bc5f0 673 if( buf[n] != 0 )
nexpaq 0:6c56fb4bc5f0 674 break;
nexpaq 0:6c56fb4bc5f0 675
nexpaq 0:6c56fb4bc5f0 676 MBEDTLS_MPI_CHK( mbedtls_mpi_grow( X, CHARS_TO_LIMBS( buflen - n ) ) );
nexpaq 0:6c56fb4bc5f0 677 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( X, 0 ) );
nexpaq 0:6c56fb4bc5f0 678
nexpaq 0:6c56fb4bc5f0 679 for( i = buflen, j = 0; i > n; i--, j++ )
nexpaq 0:6c56fb4bc5f0 680 X->p[j / ciL] |= ((mbedtls_mpi_uint) buf[i - 1]) << ((j % ciL) << 3);
nexpaq 0:6c56fb4bc5f0 681
nexpaq 0:6c56fb4bc5f0 682 cleanup:
nexpaq 0:6c56fb4bc5f0 683
nexpaq 0:6c56fb4bc5f0 684 return( ret );
nexpaq 0:6c56fb4bc5f0 685 }
nexpaq 0:6c56fb4bc5f0 686
nexpaq 0:6c56fb4bc5f0 687 /*
nexpaq 0:6c56fb4bc5f0 688 * Export X into unsigned binary data, big endian
nexpaq 0:6c56fb4bc5f0 689 */
nexpaq 0:6c56fb4bc5f0 690 int mbedtls_mpi_write_binary( const mbedtls_mpi *X, unsigned char *buf, size_t buflen )
nexpaq 0:6c56fb4bc5f0 691 {
nexpaq 0:6c56fb4bc5f0 692 size_t i, j, n;
nexpaq 0:6c56fb4bc5f0 693
nexpaq 0:6c56fb4bc5f0 694 n = mbedtls_mpi_size( X );
nexpaq 0:6c56fb4bc5f0 695
nexpaq 0:6c56fb4bc5f0 696 if( buflen < n )
nexpaq 0:6c56fb4bc5f0 697 return( MBEDTLS_ERR_MPI_BUFFER_TOO_SMALL );
nexpaq 0:6c56fb4bc5f0 698
nexpaq 0:6c56fb4bc5f0 699 memset( buf, 0, buflen );
nexpaq 0:6c56fb4bc5f0 700
nexpaq 0:6c56fb4bc5f0 701 for( i = buflen - 1, j = 0; n > 0; i--, j++, n-- )
nexpaq 0:6c56fb4bc5f0 702 buf[i] = (unsigned char)( X->p[j / ciL] >> ((j % ciL) << 3) );
nexpaq 0:6c56fb4bc5f0 703
nexpaq 0:6c56fb4bc5f0 704 return( 0 );
nexpaq 0:6c56fb4bc5f0 705 }
nexpaq 0:6c56fb4bc5f0 706
nexpaq 0:6c56fb4bc5f0 707 /*
nexpaq 0:6c56fb4bc5f0 708 * Left-shift: X <<= count
nexpaq 0:6c56fb4bc5f0 709 */
nexpaq 0:6c56fb4bc5f0 710 int mbedtls_mpi_shift_l( mbedtls_mpi *X, size_t count )
nexpaq 0:6c56fb4bc5f0 711 {
nexpaq 0:6c56fb4bc5f0 712 int ret;
nexpaq 0:6c56fb4bc5f0 713 size_t i, v0, t1;
nexpaq 0:6c56fb4bc5f0 714 mbedtls_mpi_uint r0 = 0, r1;
nexpaq 0:6c56fb4bc5f0 715
nexpaq 0:6c56fb4bc5f0 716 v0 = count / (biL );
nexpaq 0:6c56fb4bc5f0 717 t1 = count & (biL - 1);
nexpaq 0:6c56fb4bc5f0 718
nexpaq 0:6c56fb4bc5f0 719 i = mbedtls_mpi_bitlen( X ) + count;
nexpaq 0:6c56fb4bc5f0 720
nexpaq 0:6c56fb4bc5f0 721 if( X->n * biL < i )
nexpaq 0:6c56fb4bc5f0 722 MBEDTLS_MPI_CHK( mbedtls_mpi_grow( X, BITS_TO_LIMBS( i ) ) );
nexpaq 0:6c56fb4bc5f0 723
nexpaq 0:6c56fb4bc5f0 724 ret = 0;
nexpaq 0:6c56fb4bc5f0 725
nexpaq 0:6c56fb4bc5f0 726 /*
nexpaq 0:6c56fb4bc5f0 727 * shift by count / limb_size
nexpaq 0:6c56fb4bc5f0 728 */
nexpaq 0:6c56fb4bc5f0 729 if( v0 > 0 )
nexpaq 0:6c56fb4bc5f0 730 {
nexpaq 0:6c56fb4bc5f0 731 for( i = X->n; i > v0; i-- )
nexpaq 0:6c56fb4bc5f0 732 X->p[i - 1] = X->p[i - v0 - 1];
nexpaq 0:6c56fb4bc5f0 733
nexpaq 0:6c56fb4bc5f0 734 for( ; i > 0; i-- )
nexpaq 0:6c56fb4bc5f0 735 X->p[i - 1] = 0;
nexpaq 0:6c56fb4bc5f0 736 }
nexpaq 0:6c56fb4bc5f0 737
nexpaq 0:6c56fb4bc5f0 738 /*
nexpaq 0:6c56fb4bc5f0 739 * shift by count % limb_size
nexpaq 0:6c56fb4bc5f0 740 */
nexpaq 0:6c56fb4bc5f0 741 if( t1 > 0 )
nexpaq 0:6c56fb4bc5f0 742 {
nexpaq 0:6c56fb4bc5f0 743 for( i = v0; i < X->n; i++ )
nexpaq 0:6c56fb4bc5f0 744 {
nexpaq 0:6c56fb4bc5f0 745 r1 = X->p[i] >> (biL - t1);
nexpaq 0:6c56fb4bc5f0 746 X->p[i] <<= t1;
nexpaq 0:6c56fb4bc5f0 747 X->p[i] |= r0;
nexpaq 0:6c56fb4bc5f0 748 r0 = r1;
nexpaq 0:6c56fb4bc5f0 749 }
nexpaq 0:6c56fb4bc5f0 750 }
nexpaq 0:6c56fb4bc5f0 751
nexpaq 0:6c56fb4bc5f0 752 cleanup:
nexpaq 0:6c56fb4bc5f0 753
nexpaq 0:6c56fb4bc5f0 754 return( ret );
nexpaq 0:6c56fb4bc5f0 755 }
nexpaq 0:6c56fb4bc5f0 756
nexpaq 0:6c56fb4bc5f0 757 /*
nexpaq 0:6c56fb4bc5f0 758 * Right-shift: X >>= count
nexpaq 0:6c56fb4bc5f0 759 */
nexpaq 0:6c56fb4bc5f0 760 int mbedtls_mpi_shift_r( mbedtls_mpi *X, size_t count )
nexpaq 0:6c56fb4bc5f0 761 {
nexpaq 0:6c56fb4bc5f0 762 size_t i, v0, v1;
nexpaq 0:6c56fb4bc5f0 763 mbedtls_mpi_uint r0 = 0, r1;
nexpaq 0:6c56fb4bc5f0 764
nexpaq 0:6c56fb4bc5f0 765 v0 = count / biL;
nexpaq 0:6c56fb4bc5f0 766 v1 = count & (biL - 1);
nexpaq 0:6c56fb4bc5f0 767
nexpaq 0:6c56fb4bc5f0 768 if( v0 > X->n || ( v0 == X->n && v1 > 0 ) )
nexpaq 0:6c56fb4bc5f0 769 return mbedtls_mpi_lset( X, 0 );
nexpaq 0:6c56fb4bc5f0 770
nexpaq 0:6c56fb4bc5f0 771 /*
nexpaq 0:6c56fb4bc5f0 772 * shift by count / limb_size
nexpaq 0:6c56fb4bc5f0 773 */
nexpaq 0:6c56fb4bc5f0 774 if( v0 > 0 )
nexpaq 0:6c56fb4bc5f0 775 {
nexpaq 0:6c56fb4bc5f0 776 for( i = 0; i < X->n - v0; i++ )
nexpaq 0:6c56fb4bc5f0 777 X->p[i] = X->p[i + v0];
nexpaq 0:6c56fb4bc5f0 778
nexpaq 0:6c56fb4bc5f0 779 for( ; i < X->n; i++ )
nexpaq 0:6c56fb4bc5f0 780 X->p[i] = 0;
nexpaq 0:6c56fb4bc5f0 781 }
nexpaq 0:6c56fb4bc5f0 782
nexpaq 0:6c56fb4bc5f0 783 /*
nexpaq 0:6c56fb4bc5f0 784 * shift by count % limb_size
nexpaq 0:6c56fb4bc5f0 785 */
nexpaq 0:6c56fb4bc5f0 786 if( v1 > 0 )
nexpaq 0:6c56fb4bc5f0 787 {
nexpaq 0:6c56fb4bc5f0 788 for( i = X->n; i > 0; i-- )
nexpaq 0:6c56fb4bc5f0 789 {
nexpaq 0:6c56fb4bc5f0 790 r1 = X->p[i - 1] << (biL - v1);
nexpaq 0:6c56fb4bc5f0 791 X->p[i - 1] >>= v1;
nexpaq 0:6c56fb4bc5f0 792 X->p[i - 1] |= r0;
nexpaq 0:6c56fb4bc5f0 793 r0 = r1;
nexpaq 0:6c56fb4bc5f0 794 }
nexpaq 0:6c56fb4bc5f0 795 }
nexpaq 0:6c56fb4bc5f0 796
nexpaq 0:6c56fb4bc5f0 797 return( 0 );
nexpaq 0:6c56fb4bc5f0 798 }
nexpaq 0:6c56fb4bc5f0 799
nexpaq 0:6c56fb4bc5f0 800 /*
nexpaq 0:6c56fb4bc5f0 801 * Compare unsigned values
nexpaq 0:6c56fb4bc5f0 802 */
nexpaq 0:6c56fb4bc5f0 803 int mbedtls_mpi_cmp_abs( const mbedtls_mpi *X, const mbedtls_mpi *Y )
nexpaq 0:6c56fb4bc5f0 804 {
nexpaq 0:6c56fb4bc5f0 805 size_t i, j;
nexpaq 0:6c56fb4bc5f0 806
nexpaq 0:6c56fb4bc5f0 807 for( i = X->n; i > 0; i-- )
nexpaq 0:6c56fb4bc5f0 808 if( X->p[i - 1] != 0 )
nexpaq 0:6c56fb4bc5f0 809 break;
nexpaq 0:6c56fb4bc5f0 810
nexpaq 0:6c56fb4bc5f0 811 for( j = Y->n; j > 0; j-- )
nexpaq 0:6c56fb4bc5f0 812 if( Y->p[j - 1] != 0 )
nexpaq 0:6c56fb4bc5f0 813 break;
nexpaq 0:6c56fb4bc5f0 814
nexpaq 0:6c56fb4bc5f0 815 if( i == 0 && j == 0 )
nexpaq 0:6c56fb4bc5f0 816 return( 0 );
nexpaq 0:6c56fb4bc5f0 817
nexpaq 0:6c56fb4bc5f0 818 if( i > j ) return( 1 );
nexpaq 0:6c56fb4bc5f0 819 if( j > i ) return( -1 );
nexpaq 0:6c56fb4bc5f0 820
nexpaq 0:6c56fb4bc5f0 821 for( ; i > 0; i-- )
nexpaq 0:6c56fb4bc5f0 822 {
nexpaq 0:6c56fb4bc5f0 823 if( X->p[i - 1] > Y->p[i - 1] ) return( 1 );
nexpaq 0:6c56fb4bc5f0 824 if( X->p[i - 1] < Y->p[i - 1] ) return( -1 );
nexpaq 0:6c56fb4bc5f0 825 }
nexpaq 0:6c56fb4bc5f0 826
nexpaq 0:6c56fb4bc5f0 827 return( 0 );
nexpaq 0:6c56fb4bc5f0 828 }
nexpaq 0:6c56fb4bc5f0 829
nexpaq 0:6c56fb4bc5f0 830 /*
nexpaq 0:6c56fb4bc5f0 831 * Compare signed values
nexpaq 0:6c56fb4bc5f0 832 */
nexpaq 0:6c56fb4bc5f0 833 int mbedtls_mpi_cmp_mpi( const mbedtls_mpi *X, const mbedtls_mpi *Y )
nexpaq 0:6c56fb4bc5f0 834 {
nexpaq 0:6c56fb4bc5f0 835 size_t i, j;
nexpaq 0:6c56fb4bc5f0 836
nexpaq 0:6c56fb4bc5f0 837 for( i = X->n; i > 0; i-- )
nexpaq 0:6c56fb4bc5f0 838 if( X->p[i - 1] != 0 )
nexpaq 0:6c56fb4bc5f0 839 break;
nexpaq 0:6c56fb4bc5f0 840
nexpaq 0:6c56fb4bc5f0 841 for( j = Y->n; j > 0; j-- )
nexpaq 0:6c56fb4bc5f0 842 if( Y->p[j - 1] != 0 )
nexpaq 0:6c56fb4bc5f0 843 break;
nexpaq 0:6c56fb4bc5f0 844
nexpaq 0:6c56fb4bc5f0 845 if( i == 0 && j == 0 )
nexpaq 0:6c56fb4bc5f0 846 return( 0 );
nexpaq 0:6c56fb4bc5f0 847
nexpaq 0:6c56fb4bc5f0 848 if( i > j ) return( X->s );
nexpaq 0:6c56fb4bc5f0 849 if( j > i ) return( -Y->s );
nexpaq 0:6c56fb4bc5f0 850
nexpaq 0:6c56fb4bc5f0 851 if( X->s > 0 && Y->s < 0 ) return( 1 );
nexpaq 0:6c56fb4bc5f0 852 if( Y->s > 0 && X->s < 0 ) return( -1 );
nexpaq 0:6c56fb4bc5f0 853
nexpaq 0:6c56fb4bc5f0 854 for( ; i > 0; i-- )
nexpaq 0:6c56fb4bc5f0 855 {
nexpaq 0:6c56fb4bc5f0 856 if( X->p[i - 1] > Y->p[i - 1] ) return( X->s );
nexpaq 0:6c56fb4bc5f0 857 if( X->p[i - 1] < Y->p[i - 1] ) return( -X->s );
nexpaq 0:6c56fb4bc5f0 858 }
nexpaq 0:6c56fb4bc5f0 859
nexpaq 0:6c56fb4bc5f0 860 return( 0 );
nexpaq 0:6c56fb4bc5f0 861 }
nexpaq 0:6c56fb4bc5f0 862
nexpaq 0:6c56fb4bc5f0 863 /*
nexpaq 0:6c56fb4bc5f0 864 * Compare signed values
nexpaq 0:6c56fb4bc5f0 865 */
nexpaq 0:6c56fb4bc5f0 866 int mbedtls_mpi_cmp_int( const mbedtls_mpi *X, mbedtls_mpi_sint z )
nexpaq 0:6c56fb4bc5f0 867 {
nexpaq 0:6c56fb4bc5f0 868 mbedtls_mpi Y;
nexpaq 0:6c56fb4bc5f0 869 mbedtls_mpi_uint p[1];
nexpaq 0:6c56fb4bc5f0 870
nexpaq 0:6c56fb4bc5f0 871 *p = ( z < 0 ) ? -z : z;
nexpaq 0:6c56fb4bc5f0 872 Y.s = ( z < 0 ) ? -1 : 1;
nexpaq 0:6c56fb4bc5f0 873 Y.n = 1;
nexpaq 0:6c56fb4bc5f0 874 Y.p = p;
nexpaq 0:6c56fb4bc5f0 875
nexpaq 0:6c56fb4bc5f0 876 return( mbedtls_mpi_cmp_mpi( X, &Y ) );
nexpaq 0:6c56fb4bc5f0 877 }
nexpaq 0:6c56fb4bc5f0 878
nexpaq 0:6c56fb4bc5f0 879 /*
nexpaq 0:6c56fb4bc5f0 880 * Unsigned addition: X = |A| + |B| (HAC 14.7)
nexpaq 0:6c56fb4bc5f0 881 */
nexpaq 0:6c56fb4bc5f0 882 int mbedtls_mpi_add_abs( mbedtls_mpi *X, const mbedtls_mpi *A, const mbedtls_mpi *B )
nexpaq 0:6c56fb4bc5f0 883 {
nexpaq 0:6c56fb4bc5f0 884 int ret;
nexpaq 0:6c56fb4bc5f0 885 size_t i, j;
nexpaq 0:6c56fb4bc5f0 886 mbedtls_mpi_uint *o, *p, c, tmp;
nexpaq 0:6c56fb4bc5f0 887
nexpaq 0:6c56fb4bc5f0 888 if( X == B )
nexpaq 0:6c56fb4bc5f0 889 {
nexpaq 0:6c56fb4bc5f0 890 const mbedtls_mpi *T = A; A = X; B = T;
nexpaq 0:6c56fb4bc5f0 891 }
nexpaq 0:6c56fb4bc5f0 892
nexpaq 0:6c56fb4bc5f0 893 if( X != A )
nexpaq 0:6c56fb4bc5f0 894 MBEDTLS_MPI_CHK( mbedtls_mpi_copy( X, A ) );
nexpaq 0:6c56fb4bc5f0 895
nexpaq 0:6c56fb4bc5f0 896 /*
nexpaq 0:6c56fb4bc5f0 897 * X should always be positive as a result of unsigned additions.
nexpaq 0:6c56fb4bc5f0 898 */
nexpaq 0:6c56fb4bc5f0 899 X->s = 1;
nexpaq 0:6c56fb4bc5f0 900
nexpaq 0:6c56fb4bc5f0 901 for( j = B->n; j > 0; j-- )
nexpaq 0:6c56fb4bc5f0 902 if( B->p[j - 1] != 0 )
nexpaq 0:6c56fb4bc5f0 903 break;
nexpaq 0:6c56fb4bc5f0 904
nexpaq 0:6c56fb4bc5f0 905 MBEDTLS_MPI_CHK( mbedtls_mpi_grow( X, j ) );
nexpaq 0:6c56fb4bc5f0 906
nexpaq 0:6c56fb4bc5f0 907 o = B->p; p = X->p; c = 0;
nexpaq 0:6c56fb4bc5f0 908
nexpaq 0:6c56fb4bc5f0 909 /*
nexpaq 0:6c56fb4bc5f0 910 * tmp is used because it might happen that p == o
nexpaq 0:6c56fb4bc5f0 911 */
nexpaq 0:6c56fb4bc5f0 912 for( i = 0; i < j; i++, o++, p++ )
nexpaq 0:6c56fb4bc5f0 913 {
nexpaq 0:6c56fb4bc5f0 914 tmp= *o;
nexpaq 0:6c56fb4bc5f0 915 *p += c; c = ( *p < c );
nexpaq 0:6c56fb4bc5f0 916 *p += tmp; c += ( *p < tmp );
nexpaq 0:6c56fb4bc5f0 917 }
nexpaq 0:6c56fb4bc5f0 918
nexpaq 0:6c56fb4bc5f0 919 while( c != 0 )
nexpaq 0:6c56fb4bc5f0 920 {
nexpaq 0:6c56fb4bc5f0 921 if( i >= X->n )
nexpaq 0:6c56fb4bc5f0 922 {
nexpaq 0:6c56fb4bc5f0 923 MBEDTLS_MPI_CHK( mbedtls_mpi_grow( X, i + 1 ) );
nexpaq 0:6c56fb4bc5f0 924 p = X->p + i;
nexpaq 0:6c56fb4bc5f0 925 }
nexpaq 0:6c56fb4bc5f0 926
nexpaq 0:6c56fb4bc5f0 927 *p += c; c = ( *p < c ); i++; p++;
nexpaq 0:6c56fb4bc5f0 928 }
nexpaq 0:6c56fb4bc5f0 929
nexpaq 0:6c56fb4bc5f0 930 cleanup:
nexpaq 0:6c56fb4bc5f0 931
nexpaq 0:6c56fb4bc5f0 932 return( ret );
nexpaq 0:6c56fb4bc5f0 933 }
nexpaq 0:6c56fb4bc5f0 934
nexpaq 0:6c56fb4bc5f0 935 /*
nexpaq 0:6c56fb4bc5f0 936 * Helper for mbedtls_mpi subtraction
nexpaq 0:6c56fb4bc5f0 937 */
nexpaq 0:6c56fb4bc5f0 938 static void mpi_sub_hlp( size_t n, mbedtls_mpi_uint *s, mbedtls_mpi_uint *d )
nexpaq 0:6c56fb4bc5f0 939 {
nexpaq 0:6c56fb4bc5f0 940 size_t i;
nexpaq 0:6c56fb4bc5f0 941 mbedtls_mpi_uint c, z;
nexpaq 0:6c56fb4bc5f0 942
nexpaq 0:6c56fb4bc5f0 943 for( i = c = 0; i < n; i++, s++, d++ )
nexpaq 0:6c56fb4bc5f0 944 {
nexpaq 0:6c56fb4bc5f0 945 z = ( *d < c ); *d -= c;
nexpaq 0:6c56fb4bc5f0 946 c = ( *d < *s ) + z; *d -= *s;
nexpaq 0:6c56fb4bc5f0 947 }
nexpaq 0:6c56fb4bc5f0 948
nexpaq 0:6c56fb4bc5f0 949 while( c != 0 )
nexpaq 0:6c56fb4bc5f0 950 {
nexpaq 0:6c56fb4bc5f0 951 z = ( *d < c ); *d -= c;
nexpaq 0:6c56fb4bc5f0 952 c = z; i++; d++;
nexpaq 0:6c56fb4bc5f0 953 }
nexpaq 0:6c56fb4bc5f0 954 }
nexpaq 0:6c56fb4bc5f0 955
nexpaq 0:6c56fb4bc5f0 956 /*
nexpaq 0:6c56fb4bc5f0 957 * Unsigned subtraction: X = |A| - |B| (HAC 14.9)
nexpaq 0:6c56fb4bc5f0 958 */
nexpaq 0:6c56fb4bc5f0 959 int mbedtls_mpi_sub_abs( mbedtls_mpi *X, const mbedtls_mpi *A, const mbedtls_mpi *B )
nexpaq 0:6c56fb4bc5f0 960 {
nexpaq 0:6c56fb4bc5f0 961 mbedtls_mpi TB;
nexpaq 0:6c56fb4bc5f0 962 int ret;
nexpaq 0:6c56fb4bc5f0 963 size_t n;
nexpaq 0:6c56fb4bc5f0 964
nexpaq 0:6c56fb4bc5f0 965 if( mbedtls_mpi_cmp_abs( A, B ) < 0 )
nexpaq 0:6c56fb4bc5f0 966 return( MBEDTLS_ERR_MPI_NEGATIVE_VALUE );
nexpaq 0:6c56fb4bc5f0 967
nexpaq 0:6c56fb4bc5f0 968 mbedtls_mpi_init( &TB );
nexpaq 0:6c56fb4bc5f0 969
nexpaq 0:6c56fb4bc5f0 970 if( X == B )
nexpaq 0:6c56fb4bc5f0 971 {
nexpaq 0:6c56fb4bc5f0 972 MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &TB, B ) );
nexpaq 0:6c56fb4bc5f0 973 B = &TB;
nexpaq 0:6c56fb4bc5f0 974 }
nexpaq 0:6c56fb4bc5f0 975
nexpaq 0:6c56fb4bc5f0 976 if( X != A )
nexpaq 0:6c56fb4bc5f0 977 MBEDTLS_MPI_CHK( mbedtls_mpi_copy( X, A ) );
nexpaq 0:6c56fb4bc5f0 978
nexpaq 0:6c56fb4bc5f0 979 /*
nexpaq 0:6c56fb4bc5f0 980 * X should always be positive as a result of unsigned subtractions.
nexpaq 0:6c56fb4bc5f0 981 */
nexpaq 0:6c56fb4bc5f0 982 X->s = 1;
nexpaq 0:6c56fb4bc5f0 983
nexpaq 0:6c56fb4bc5f0 984 ret = 0;
nexpaq 0:6c56fb4bc5f0 985
nexpaq 0:6c56fb4bc5f0 986 for( n = B->n; n > 0; n-- )
nexpaq 0:6c56fb4bc5f0 987 if( B->p[n - 1] != 0 )
nexpaq 0:6c56fb4bc5f0 988 break;
nexpaq 0:6c56fb4bc5f0 989
nexpaq 0:6c56fb4bc5f0 990 mpi_sub_hlp( n, B->p, X->p );
nexpaq 0:6c56fb4bc5f0 991
nexpaq 0:6c56fb4bc5f0 992 cleanup:
nexpaq 0:6c56fb4bc5f0 993
nexpaq 0:6c56fb4bc5f0 994 mbedtls_mpi_free( &TB );
nexpaq 0:6c56fb4bc5f0 995
nexpaq 0:6c56fb4bc5f0 996 return( ret );
nexpaq 0:6c56fb4bc5f0 997 }
nexpaq 0:6c56fb4bc5f0 998
nexpaq 0:6c56fb4bc5f0 999 /*
nexpaq 0:6c56fb4bc5f0 1000 * Signed addition: X = A + B
nexpaq 0:6c56fb4bc5f0 1001 */
nexpaq 0:6c56fb4bc5f0 1002 int mbedtls_mpi_add_mpi( mbedtls_mpi *X, const mbedtls_mpi *A, const mbedtls_mpi *B )
nexpaq 0:6c56fb4bc5f0 1003 {
nexpaq 0:6c56fb4bc5f0 1004 int ret, s = A->s;
nexpaq 0:6c56fb4bc5f0 1005
nexpaq 0:6c56fb4bc5f0 1006 if( A->s * B->s < 0 )
nexpaq 0:6c56fb4bc5f0 1007 {
nexpaq 0:6c56fb4bc5f0 1008 if( mbedtls_mpi_cmp_abs( A, B ) >= 0 )
nexpaq 0:6c56fb4bc5f0 1009 {
nexpaq 0:6c56fb4bc5f0 1010 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_abs( X, A, B ) );
nexpaq 0:6c56fb4bc5f0 1011 X->s = s;
nexpaq 0:6c56fb4bc5f0 1012 }
nexpaq 0:6c56fb4bc5f0 1013 else
nexpaq 0:6c56fb4bc5f0 1014 {
nexpaq 0:6c56fb4bc5f0 1015 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_abs( X, B, A ) );
nexpaq 0:6c56fb4bc5f0 1016 X->s = -s;
nexpaq 0:6c56fb4bc5f0 1017 }
nexpaq 0:6c56fb4bc5f0 1018 }
nexpaq 0:6c56fb4bc5f0 1019 else
nexpaq 0:6c56fb4bc5f0 1020 {
nexpaq 0:6c56fb4bc5f0 1021 MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( X, A, B ) );
nexpaq 0:6c56fb4bc5f0 1022 X->s = s;
nexpaq 0:6c56fb4bc5f0 1023 }
nexpaq 0:6c56fb4bc5f0 1024
nexpaq 0:6c56fb4bc5f0 1025 cleanup:
nexpaq 0:6c56fb4bc5f0 1026
nexpaq 0:6c56fb4bc5f0 1027 return( ret );
nexpaq 0:6c56fb4bc5f0 1028 }
nexpaq 0:6c56fb4bc5f0 1029
nexpaq 0:6c56fb4bc5f0 1030 /*
nexpaq 0:6c56fb4bc5f0 1031 * Signed subtraction: X = A - B
nexpaq 0:6c56fb4bc5f0 1032 */
nexpaq 0:6c56fb4bc5f0 1033 int mbedtls_mpi_sub_mpi( mbedtls_mpi *X, const mbedtls_mpi *A, const mbedtls_mpi *B )
nexpaq 0:6c56fb4bc5f0 1034 {
nexpaq 0:6c56fb4bc5f0 1035 int ret, s = A->s;
nexpaq 0:6c56fb4bc5f0 1036
nexpaq 0:6c56fb4bc5f0 1037 if( A->s * B->s > 0 )
nexpaq 0:6c56fb4bc5f0 1038 {
nexpaq 0:6c56fb4bc5f0 1039 if( mbedtls_mpi_cmp_abs( A, B ) >= 0 )
nexpaq 0:6c56fb4bc5f0 1040 {
nexpaq 0:6c56fb4bc5f0 1041 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_abs( X, A, B ) );
nexpaq 0:6c56fb4bc5f0 1042 X->s = s;
nexpaq 0:6c56fb4bc5f0 1043 }
nexpaq 0:6c56fb4bc5f0 1044 else
nexpaq 0:6c56fb4bc5f0 1045 {
nexpaq 0:6c56fb4bc5f0 1046 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_abs( X, B, A ) );
nexpaq 0:6c56fb4bc5f0 1047 X->s = -s;
nexpaq 0:6c56fb4bc5f0 1048 }
nexpaq 0:6c56fb4bc5f0 1049 }
nexpaq 0:6c56fb4bc5f0 1050 else
nexpaq 0:6c56fb4bc5f0 1051 {
nexpaq 0:6c56fb4bc5f0 1052 MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( X, A, B ) );
nexpaq 0:6c56fb4bc5f0 1053 X->s = s;
nexpaq 0:6c56fb4bc5f0 1054 }
nexpaq 0:6c56fb4bc5f0 1055
nexpaq 0:6c56fb4bc5f0 1056 cleanup:
nexpaq 0:6c56fb4bc5f0 1057
nexpaq 0:6c56fb4bc5f0 1058 return( ret );
nexpaq 0:6c56fb4bc5f0 1059 }
nexpaq 0:6c56fb4bc5f0 1060
nexpaq 0:6c56fb4bc5f0 1061 /*
nexpaq 0:6c56fb4bc5f0 1062 * Signed addition: X = A + b
nexpaq 0:6c56fb4bc5f0 1063 */
nexpaq 0:6c56fb4bc5f0 1064 int mbedtls_mpi_add_int( mbedtls_mpi *X, const mbedtls_mpi *A, mbedtls_mpi_sint b )
nexpaq 0:6c56fb4bc5f0 1065 {
nexpaq 0:6c56fb4bc5f0 1066 mbedtls_mpi _B;
nexpaq 0:6c56fb4bc5f0 1067 mbedtls_mpi_uint p[1];
nexpaq 0:6c56fb4bc5f0 1068
nexpaq 0:6c56fb4bc5f0 1069 p[0] = ( b < 0 ) ? -b : b;
nexpaq 0:6c56fb4bc5f0 1070 _B.s = ( b < 0 ) ? -1 : 1;
nexpaq 0:6c56fb4bc5f0 1071 _B.n = 1;
nexpaq 0:6c56fb4bc5f0 1072 _B.p = p;
nexpaq 0:6c56fb4bc5f0 1073
nexpaq 0:6c56fb4bc5f0 1074 return( mbedtls_mpi_add_mpi( X, A, &_B ) );
nexpaq 0:6c56fb4bc5f0 1075 }
nexpaq 0:6c56fb4bc5f0 1076
nexpaq 0:6c56fb4bc5f0 1077 /*
nexpaq 0:6c56fb4bc5f0 1078 * Signed subtraction: X = A - b
nexpaq 0:6c56fb4bc5f0 1079 */
nexpaq 0:6c56fb4bc5f0 1080 int mbedtls_mpi_sub_int( mbedtls_mpi *X, const mbedtls_mpi *A, mbedtls_mpi_sint b )
nexpaq 0:6c56fb4bc5f0 1081 {
nexpaq 0:6c56fb4bc5f0 1082 mbedtls_mpi _B;
nexpaq 0:6c56fb4bc5f0 1083 mbedtls_mpi_uint p[1];
nexpaq 0:6c56fb4bc5f0 1084
nexpaq 0:6c56fb4bc5f0 1085 p[0] = ( b < 0 ) ? -b : b;
nexpaq 0:6c56fb4bc5f0 1086 _B.s = ( b < 0 ) ? -1 : 1;
nexpaq 0:6c56fb4bc5f0 1087 _B.n = 1;
nexpaq 0:6c56fb4bc5f0 1088 _B.p = p;
nexpaq 0:6c56fb4bc5f0 1089
nexpaq 0:6c56fb4bc5f0 1090 return( mbedtls_mpi_sub_mpi( X, A, &_B ) );
nexpaq 0:6c56fb4bc5f0 1091 }
nexpaq 0:6c56fb4bc5f0 1092
nexpaq 0:6c56fb4bc5f0 1093 /*
nexpaq 0:6c56fb4bc5f0 1094 * Helper for mbedtls_mpi multiplication
nexpaq 0:6c56fb4bc5f0 1095 */
nexpaq 0:6c56fb4bc5f0 1096 static
nexpaq 0:6c56fb4bc5f0 1097 #if defined(__APPLE__) && defined(__arm__)
nexpaq 0:6c56fb4bc5f0 1098 /*
nexpaq 0:6c56fb4bc5f0 1099 * Apple LLVM version 4.2 (clang-425.0.24) (based on LLVM 3.2svn)
nexpaq 0:6c56fb4bc5f0 1100 * appears to need this to prevent bad ARM code generation at -O3.
nexpaq 0:6c56fb4bc5f0 1101 */
nexpaq 0:6c56fb4bc5f0 1102 __attribute__ ((noinline))
nexpaq 0:6c56fb4bc5f0 1103 #endif
nexpaq 0:6c56fb4bc5f0 1104 void mpi_mul_hlp( size_t i, mbedtls_mpi_uint *s, mbedtls_mpi_uint *d, mbedtls_mpi_uint b )
nexpaq 0:6c56fb4bc5f0 1105 {
nexpaq 0:6c56fb4bc5f0 1106 mbedtls_mpi_uint c = 0, t = 0;
nexpaq 0:6c56fb4bc5f0 1107
nexpaq 0:6c56fb4bc5f0 1108 #if defined(MULADDC_HUIT)
nexpaq 0:6c56fb4bc5f0 1109 for( ; i >= 8; i -= 8 )
nexpaq 0:6c56fb4bc5f0 1110 {
nexpaq 0:6c56fb4bc5f0 1111 MULADDC_INIT
nexpaq 0:6c56fb4bc5f0 1112 MULADDC_HUIT
nexpaq 0:6c56fb4bc5f0 1113 MULADDC_STOP
nexpaq 0:6c56fb4bc5f0 1114 }
nexpaq 0:6c56fb4bc5f0 1115
nexpaq 0:6c56fb4bc5f0 1116 for( ; i > 0; i-- )
nexpaq 0:6c56fb4bc5f0 1117 {
nexpaq 0:6c56fb4bc5f0 1118 MULADDC_INIT
nexpaq 0:6c56fb4bc5f0 1119 MULADDC_CORE
nexpaq 0:6c56fb4bc5f0 1120 MULADDC_STOP
nexpaq 0:6c56fb4bc5f0 1121 }
nexpaq 0:6c56fb4bc5f0 1122 #else /* MULADDC_HUIT */
nexpaq 0:6c56fb4bc5f0 1123 for( ; i >= 16; i -= 16 )
nexpaq 0:6c56fb4bc5f0 1124 {
nexpaq 0:6c56fb4bc5f0 1125 MULADDC_INIT
nexpaq 0:6c56fb4bc5f0 1126 MULADDC_CORE MULADDC_CORE
nexpaq 0:6c56fb4bc5f0 1127 MULADDC_CORE MULADDC_CORE
nexpaq 0:6c56fb4bc5f0 1128 MULADDC_CORE MULADDC_CORE
nexpaq 0:6c56fb4bc5f0 1129 MULADDC_CORE MULADDC_CORE
nexpaq 0:6c56fb4bc5f0 1130
nexpaq 0:6c56fb4bc5f0 1131 MULADDC_CORE MULADDC_CORE
nexpaq 0:6c56fb4bc5f0 1132 MULADDC_CORE MULADDC_CORE
nexpaq 0:6c56fb4bc5f0 1133 MULADDC_CORE MULADDC_CORE
nexpaq 0:6c56fb4bc5f0 1134 MULADDC_CORE MULADDC_CORE
nexpaq 0:6c56fb4bc5f0 1135 MULADDC_STOP
nexpaq 0:6c56fb4bc5f0 1136 }
nexpaq 0:6c56fb4bc5f0 1137
nexpaq 0:6c56fb4bc5f0 1138 for( ; i >= 8; i -= 8 )
nexpaq 0:6c56fb4bc5f0 1139 {
nexpaq 0:6c56fb4bc5f0 1140 MULADDC_INIT
nexpaq 0:6c56fb4bc5f0 1141 MULADDC_CORE MULADDC_CORE
nexpaq 0:6c56fb4bc5f0 1142 MULADDC_CORE MULADDC_CORE
nexpaq 0:6c56fb4bc5f0 1143
nexpaq 0:6c56fb4bc5f0 1144 MULADDC_CORE MULADDC_CORE
nexpaq 0:6c56fb4bc5f0 1145 MULADDC_CORE MULADDC_CORE
nexpaq 0:6c56fb4bc5f0 1146 MULADDC_STOP
nexpaq 0:6c56fb4bc5f0 1147 }
nexpaq 0:6c56fb4bc5f0 1148
nexpaq 0:6c56fb4bc5f0 1149 for( ; i > 0; i-- )
nexpaq 0:6c56fb4bc5f0 1150 {
nexpaq 0:6c56fb4bc5f0 1151 MULADDC_INIT
nexpaq 0:6c56fb4bc5f0 1152 MULADDC_CORE
nexpaq 0:6c56fb4bc5f0 1153 MULADDC_STOP
nexpaq 0:6c56fb4bc5f0 1154 }
nexpaq 0:6c56fb4bc5f0 1155 #endif /* MULADDC_HUIT */
nexpaq 0:6c56fb4bc5f0 1156
nexpaq 0:6c56fb4bc5f0 1157 t++;
nexpaq 0:6c56fb4bc5f0 1158
nexpaq 0:6c56fb4bc5f0 1159 do {
nexpaq 0:6c56fb4bc5f0 1160 *d += c; c = ( *d < c ); d++;
nexpaq 0:6c56fb4bc5f0 1161 }
nexpaq 0:6c56fb4bc5f0 1162 while( c != 0 );
nexpaq 0:6c56fb4bc5f0 1163 }
nexpaq 0:6c56fb4bc5f0 1164
nexpaq 0:6c56fb4bc5f0 1165 /*
nexpaq 0:6c56fb4bc5f0 1166 * Baseline multiplication: X = A * B (HAC 14.12)
nexpaq 0:6c56fb4bc5f0 1167 */
nexpaq 0:6c56fb4bc5f0 1168 int mbedtls_mpi_mul_mpi( mbedtls_mpi *X, const mbedtls_mpi *A, const mbedtls_mpi *B )
nexpaq 0:6c56fb4bc5f0 1169 {
nexpaq 0:6c56fb4bc5f0 1170 int ret;
nexpaq 0:6c56fb4bc5f0 1171 size_t i, j;
nexpaq 0:6c56fb4bc5f0 1172 mbedtls_mpi TA, TB;
nexpaq 0:6c56fb4bc5f0 1173
nexpaq 0:6c56fb4bc5f0 1174 mbedtls_mpi_init( &TA ); mbedtls_mpi_init( &TB );
nexpaq 0:6c56fb4bc5f0 1175
nexpaq 0:6c56fb4bc5f0 1176 if( X == A ) { MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &TA, A ) ); A = &TA; }
nexpaq 0:6c56fb4bc5f0 1177 if( X == B ) { MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &TB, B ) ); B = &TB; }
nexpaq 0:6c56fb4bc5f0 1178
nexpaq 0:6c56fb4bc5f0 1179 for( i = A->n; i > 0; i-- )
nexpaq 0:6c56fb4bc5f0 1180 if( A->p[i - 1] != 0 )
nexpaq 0:6c56fb4bc5f0 1181 break;
nexpaq 0:6c56fb4bc5f0 1182
nexpaq 0:6c56fb4bc5f0 1183 for( j = B->n; j > 0; j-- )
nexpaq 0:6c56fb4bc5f0 1184 if( B->p[j - 1] != 0 )
nexpaq 0:6c56fb4bc5f0 1185 break;
nexpaq 0:6c56fb4bc5f0 1186
nexpaq 0:6c56fb4bc5f0 1187 MBEDTLS_MPI_CHK( mbedtls_mpi_grow( X, i + j ) );
nexpaq 0:6c56fb4bc5f0 1188 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( X, 0 ) );
nexpaq 0:6c56fb4bc5f0 1189
nexpaq 0:6c56fb4bc5f0 1190 for( i++; j > 0; j-- )
nexpaq 0:6c56fb4bc5f0 1191 mpi_mul_hlp( i - 1, A->p, X->p + j - 1, B->p[j - 1] );
nexpaq 0:6c56fb4bc5f0 1192
nexpaq 0:6c56fb4bc5f0 1193 X->s = A->s * B->s;
nexpaq 0:6c56fb4bc5f0 1194
nexpaq 0:6c56fb4bc5f0 1195 cleanup:
nexpaq 0:6c56fb4bc5f0 1196
nexpaq 0:6c56fb4bc5f0 1197 mbedtls_mpi_free( &TB ); mbedtls_mpi_free( &TA );
nexpaq 0:6c56fb4bc5f0 1198
nexpaq 0:6c56fb4bc5f0 1199 return( ret );
nexpaq 0:6c56fb4bc5f0 1200 }
nexpaq 0:6c56fb4bc5f0 1201
nexpaq 0:6c56fb4bc5f0 1202 /*
nexpaq 0:6c56fb4bc5f0 1203 * Baseline multiplication: X = A * b
nexpaq 0:6c56fb4bc5f0 1204 */
nexpaq 0:6c56fb4bc5f0 1205 int mbedtls_mpi_mul_int( mbedtls_mpi *X, const mbedtls_mpi *A, mbedtls_mpi_uint b )
nexpaq 0:6c56fb4bc5f0 1206 {
nexpaq 0:6c56fb4bc5f0 1207 mbedtls_mpi _B;
nexpaq 0:6c56fb4bc5f0 1208 mbedtls_mpi_uint p[1];
nexpaq 0:6c56fb4bc5f0 1209
nexpaq 0:6c56fb4bc5f0 1210 _B.s = 1;
nexpaq 0:6c56fb4bc5f0 1211 _B.n = 1;
nexpaq 0:6c56fb4bc5f0 1212 _B.p = p;
nexpaq 0:6c56fb4bc5f0 1213 p[0] = b;
nexpaq 0:6c56fb4bc5f0 1214
nexpaq 0:6c56fb4bc5f0 1215 return( mbedtls_mpi_mul_mpi( X, A, &_B ) );
nexpaq 0:6c56fb4bc5f0 1216 }
nexpaq 0:6c56fb4bc5f0 1217
nexpaq 0:6c56fb4bc5f0 1218 /*
nexpaq 0:6c56fb4bc5f0 1219 * Unsigned integer divide - double mbedtls_mpi_uint dividend, u1/u0, and
nexpaq 0:6c56fb4bc5f0 1220 * mbedtls_mpi_uint divisor, d
nexpaq 0:6c56fb4bc5f0 1221 */
nexpaq 0:6c56fb4bc5f0 1222 static mbedtls_mpi_uint mbedtls_int_div_int( mbedtls_mpi_uint u1,
nexpaq 0:6c56fb4bc5f0 1223 mbedtls_mpi_uint u0, mbedtls_mpi_uint d, mbedtls_mpi_uint *r )
nexpaq 0:6c56fb4bc5f0 1224 {
nexpaq 0:6c56fb4bc5f0 1225 #if defined(MBEDTLS_HAVE_UDBL)
nexpaq 0:6c56fb4bc5f0 1226 mbedtls_t_udbl dividend, quotient;
nexpaq 0:6c56fb4bc5f0 1227 #else
nexpaq 0:6c56fb4bc5f0 1228 const mbedtls_mpi_uint radix = (mbedtls_mpi_uint) 1 << biH;
nexpaq 0:6c56fb4bc5f0 1229 const mbedtls_mpi_uint uint_halfword_mask = ( (mbedtls_mpi_uint) 1 << biH ) - 1;
nexpaq 0:6c56fb4bc5f0 1230 mbedtls_mpi_uint d0, d1, q0, q1, rAX, r0, quotient;
nexpaq 0:6c56fb4bc5f0 1231 mbedtls_mpi_uint u0_msw, u0_lsw;
nexpaq 0:6c56fb4bc5f0 1232 size_t s;
nexpaq 0:6c56fb4bc5f0 1233 #endif
nexpaq 0:6c56fb4bc5f0 1234
nexpaq 0:6c56fb4bc5f0 1235 /*
nexpaq 0:6c56fb4bc5f0 1236 * Check for overflow
nexpaq 0:6c56fb4bc5f0 1237 */
nexpaq 0:6c56fb4bc5f0 1238 if( 0 == d || u1 >= d )
nexpaq 0:6c56fb4bc5f0 1239 {
nexpaq 0:6c56fb4bc5f0 1240 if (r != NULL) *r = ~0;
nexpaq 0:6c56fb4bc5f0 1241
nexpaq 0:6c56fb4bc5f0 1242 return ( ~0 );
nexpaq 0:6c56fb4bc5f0 1243 }
nexpaq 0:6c56fb4bc5f0 1244
nexpaq 0:6c56fb4bc5f0 1245 #if defined(MBEDTLS_HAVE_UDBL)
nexpaq 0:6c56fb4bc5f0 1246 dividend = (mbedtls_t_udbl) u1 << biL;
nexpaq 0:6c56fb4bc5f0 1247 dividend |= (mbedtls_t_udbl) u0;
nexpaq 0:6c56fb4bc5f0 1248 quotient = dividend / d;
nexpaq 0:6c56fb4bc5f0 1249 if( quotient > ( (mbedtls_t_udbl) 1 << biL ) - 1 )
nexpaq 0:6c56fb4bc5f0 1250 quotient = ( (mbedtls_t_udbl) 1 << biL ) - 1;
nexpaq 0:6c56fb4bc5f0 1251
nexpaq 0:6c56fb4bc5f0 1252 if( r != NULL )
nexpaq 0:6c56fb4bc5f0 1253 *r = (mbedtls_mpi_uint)( dividend - (quotient * d ) );
nexpaq 0:6c56fb4bc5f0 1254
nexpaq 0:6c56fb4bc5f0 1255 return (mbedtls_mpi_uint) quotient;
nexpaq 0:6c56fb4bc5f0 1256 #else
nexpaq 0:6c56fb4bc5f0 1257
nexpaq 0:6c56fb4bc5f0 1258 /*
nexpaq 0:6c56fb4bc5f0 1259 * Algorithm D, Section 4.3.1 - The Art of Computer Programming
nexpaq 0:6c56fb4bc5f0 1260 * Vol. 2 - Seminumerical Algorithms, Knuth
nexpaq 0:6c56fb4bc5f0 1261 */
nexpaq 0:6c56fb4bc5f0 1262
nexpaq 0:6c56fb4bc5f0 1263 /*
nexpaq 0:6c56fb4bc5f0 1264 * Normalize the divisor, d, and dividend, u0, u1
nexpaq 0:6c56fb4bc5f0 1265 */
nexpaq 0:6c56fb4bc5f0 1266 s = mbedtls_clz( d );
nexpaq 0:6c56fb4bc5f0 1267 d = d << s;
nexpaq 0:6c56fb4bc5f0 1268
nexpaq 0:6c56fb4bc5f0 1269 u1 = u1 << s;
nexpaq 0:6c56fb4bc5f0 1270 u1 |= ( u0 >> ( biL - s ) ) & ( -(mbedtls_mpi_sint)s >> ( biL - 1 ) );
nexpaq 0:6c56fb4bc5f0 1271 u0 = u0 << s;
nexpaq 0:6c56fb4bc5f0 1272
nexpaq 0:6c56fb4bc5f0 1273 d1 = d >> biH;
nexpaq 0:6c56fb4bc5f0 1274 d0 = d & uint_halfword_mask;
nexpaq 0:6c56fb4bc5f0 1275
nexpaq 0:6c56fb4bc5f0 1276 u0_msw = u0 >> biH;
nexpaq 0:6c56fb4bc5f0 1277 u0_lsw = u0 & uint_halfword_mask;
nexpaq 0:6c56fb4bc5f0 1278
nexpaq 0:6c56fb4bc5f0 1279 /*
nexpaq 0:6c56fb4bc5f0 1280 * Find the first quotient and remainder
nexpaq 0:6c56fb4bc5f0 1281 */
nexpaq 0:6c56fb4bc5f0 1282 q1 = u1 / d1;
nexpaq 0:6c56fb4bc5f0 1283 r0 = u1 - d1 * q1;
nexpaq 0:6c56fb4bc5f0 1284
nexpaq 0:6c56fb4bc5f0 1285 while( q1 >= radix || ( q1 * d0 > radix * r0 + u0_msw ) )
nexpaq 0:6c56fb4bc5f0 1286 {
nexpaq 0:6c56fb4bc5f0 1287 q1 -= 1;
nexpaq 0:6c56fb4bc5f0 1288 r0 += d1;
nexpaq 0:6c56fb4bc5f0 1289
nexpaq 0:6c56fb4bc5f0 1290 if ( r0 >= radix ) break;
nexpaq 0:6c56fb4bc5f0 1291 }
nexpaq 0:6c56fb4bc5f0 1292
nexpaq 0:6c56fb4bc5f0 1293 rAX = ( u1 * radix ) + ( u0_msw - q1 * d );
nexpaq 0:6c56fb4bc5f0 1294 q0 = rAX / d1;
nexpaq 0:6c56fb4bc5f0 1295 r0 = rAX - q0 * d1;
nexpaq 0:6c56fb4bc5f0 1296
nexpaq 0:6c56fb4bc5f0 1297 while( q0 >= radix || ( q0 * d0 > radix * r0 + u0_lsw ) )
nexpaq 0:6c56fb4bc5f0 1298 {
nexpaq 0:6c56fb4bc5f0 1299 q0 -= 1;
nexpaq 0:6c56fb4bc5f0 1300 r0 += d1;
nexpaq 0:6c56fb4bc5f0 1301
nexpaq 0:6c56fb4bc5f0 1302 if ( r0 >= radix ) break;
nexpaq 0:6c56fb4bc5f0 1303 }
nexpaq 0:6c56fb4bc5f0 1304
nexpaq 0:6c56fb4bc5f0 1305 if (r != NULL)
nexpaq 0:6c56fb4bc5f0 1306 *r = ( rAX * radix + u0_lsw - q0 * d ) >> s;
nexpaq 0:6c56fb4bc5f0 1307
nexpaq 0:6c56fb4bc5f0 1308 quotient = q1 * radix + q0;
nexpaq 0:6c56fb4bc5f0 1309
nexpaq 0:6c56fb4bc5f0 1310 return quotient;
nexpaq 0:6c56fb4bc5f0 1311 #endif
nexpaq 0:6c56fb4bc5f0 1312 }
nexpaq 0:6c56fb4bc5f0 1313
nexpaq 0:6c56fb4bc5f0 1314 /*
nexpaq 0:6c56fb4bc5f0 1315 * Division by mbedtls_mpi: A = Q * B + R (HAC 14.20)
nexpaq 0:6c56fb4bc5f0 1316 */
nexpaq 0:6c56fb4bc5f0 1317 int mbedtls_mpi_div_mpi( mbedtls_mpi *Q, mbedtls_mpi *R, const mbedtls_mpi *A, const mbedtls_mpi *B )
nexpaq 0:6c56fb4bc5f0 1318 {
nexpaq 0:6c56fb4bc5f0 1319 int ret;
nexpaq 0:6c56fb4bc5f0 1320 size_t i, n, t, k;
nexpaq 0:6c56fb4bc5f0 1321 mbedtls_mpi X, Y, Z, T1, T2;
nexpaq 0:6c56fb4bc5f0 1322
nexpaq 0:6c56fb4bc5f0 1323 if( mbedtls_mpi_cmp_int( B, 0 ) == 0 )
nexpaq 0:6c56fb4bc5f0 1324 return( MBEDTLS_ERR_MPI_DIVISION_BY_ZERO );
nexpaq 0:6c56fb4bc5f0 1325
nexpaq 0:6c56fb4bc5f0 1326 mbedtls_mpi_init( &X ); mbedtls_mpi_init( &Y ); mbedtls_mpi_init( &Z );
nexpaq 0:6c56fb4bc5f0 1327 mbedtls_mpi_init( &T1 ); mbedtls_mpi_init( &T2 );
nexpaq 0:6c56fb4bc5f0 1328
nexpaq 0:6c56fb4bc5f0 1329 if( mbedtls_mpi_cmp_abs( A, B ) < 0 )
nexpaq 0:6c56fb4bc5f0 1330 {
nexpaq 0:6c56fb4bc5f0 1331 if( Q != NULL ) MBEDTLS_MPI_CHK( mbedtls_mpi_lset( Q, 0 ) );
nexpaq 0:6c56fb4bc5f0 1332 if( R != NULL ) MBEDTLS_MPI_CHK( mbedtls_mpi_copy( R, A ) );
nexpaq 0:6c56fb4bc5f0 1333 return( 0 );
nexpaq 0:6c56fb4bc5f0 1334 }
nexpaq 0:6c56fb4bc5f0 1335
nexpaq 0:6c56fb4bc5f0 1336 MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &X, A ) );
nexpaq 0:6c56fb4bc5f0 1337 MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &Y, B ) );
nexpaq 0:6c56fb4bc5f0 1338 X.s = Y.s = 1;
nexpaq 0:6c56fb4bc5f0 1339
nexpaq 0:6c56fb4bc5f0 1340 MBEDTLS_MPI_CHK( mbedtls_mpi_grow( &Z, A->n + 2 ) );
nexpaq 0:6c56fb4bc5f0 1341 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &Z, 0 ) );
nexpaq 0:6c56fb4bc5f0 1342 MBEDTLS_MPI_CHK( mbedtls_mpi_grow( &T1, 2 ) );
nexpaq 0:6c56fb4bc5f0 1343 MBEDTLS_MPI_CHK( mbedtls_mpi_grow( &T2, 3 ) );
nexpaq 0:6c56fb4bc5f0 1344
nexpaq 0:6c56fb4bc5f0 1345 k = mbedtls_mpi_bitlen( &Y ) % biL;
nexpaq 0:6c56fb4bc5f0 1346 if( k < biL - 1 )
nexpaq 0:6c56fb4bc5f0 1347 {
nexpaq 0:6c56fb4bc5f0 1348 k = biL - 1 - k;
nexpaq 0:6c56fb4bc5f0 1349 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_l( &X, k ) );
nexpaq 0:6c56fb4bc5f0 1350 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_l( &Y, k ) );
nexpaq 0:6c56fb4bc5f0 1351 }
nexpaq 0:6c56fb4bc5f0 1352 else k = 0;
nexpaq 0:6c56fb4bc5f0 1353
nexpaq 0:6c56fb4bc5f0 1354 n = X.n - 1;
nexpaq 0:6c56fb4bc5f0 1355 t = Y.n - 1;
nexpaq 0:6c56fb4bc5f0 1356 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_l( &Y, biL * ( n - t ) ) );
nexpaq 0:6c56fb4bc5f0 1357
nexpaq 0:6c56fb4bc5f0 1358 while( mbedtls_mpi_cmp_mpi( &X, &Y ) >= 0 )
nexpaq 0:6c56fb4bc5f0 1359 {
nexpaq 0:6c56fb4bc5f0 1360 Z.p[n - t]++;
nexpaq 0:6c56fb4bc5f0 1361 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_mpi( &X, &X, &Y ) );
nexpaq 0:6c56fb4bc5f0 1362 }
nexpaq 0:6c56fb4bc5f0 1363 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &Y, biL * ( n - t ) ) );
nexpaq 0:6c56fb4bc5f0 1364
nexpaq 0:6c56fb4bc5f0 1365 for( i = n; i > t ; i-- )
nexpaq 0:6c56fb4bc5f0 1366 {
nexpaq 0:6c56fb4bc5f0 1367 if( X.p[i] >= Y.p[t] )
nexpaq 0:6c56fb4bc5f0 1368 Z.p[i - t - 1] = ~0;
nexpaq 0:6c56fb4bc5f0 1369 else
nexpaq 0:6c56fb4bc5f0 1370 {
nexpaq 0:6c56fb4bc5f0 1371 Z.p[i - t - 1] = mbedtls_int_div_int( X.p[i], X.p[i - 1],
nexpaq 0:6c56fb4bc5f0 1372 Y.p[t], NULL);
nexpaq 0:6c56fb4bc5f0 1373 }
nexpaq 0:6c56fb4bc5f0 1374
nexpaq 0:6c56fb4bc5f0 1375 Z.p[i - t - 1]++;
nexpaq 0:6c56fb4bc5f0 1376 do
nexpaq 0:6c56fb4bc5f0 1377 {
nexpaq 0:6c56fb4bc5f0 1378 Z.p[i - t - 1]--;
nexpaq 0:6c56fb4bc5f0 1379
nexpaq 0:6c56fb4bc5f0 1380 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &T1, 0 ) );
nexpaq 0:6c56fb4bc5f0 1381 T1.p[0] = ( t < 1 ) ? 0 : Y.p[t - 1];
nexpaq 0:6c56fb4bc5f0 1382 T1.p[1] = Y.p[t];
nexpaq 0:6c56fb4bc5f0 1383 MBEDTLS_MPI_CHK( mbedtls_mpi_mul_int( &T1, &T1, Z.p[i - t - 1] ) );
nexpaq 0:6c56fb4bc5f0 1384
nexpaq 0:6c56fb4bc5f0 1385 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &T2, 0 ) );
nexpaq 0:6c56fb4bc5f0 1386 T2.p[0] = ( i < 2 ) ? 0 : X.p[i - 2];
nexpaq 0:6c56fb4bc5f0 1387 T2.p[1] = ( i < 1 ) ? 0 : X.p[i - 1];
nexpaq 0:6c56fb4bc5f0 1388 T2.p[2] = X.p[i];
nexpaq 0:6c56fb4bc5f0 1389 }
nexpaq 0:6c56fb4bc5f0 1390 while( mbedtls_mpi_cmp_mpi( &T1, &T2 ) > 0 );
nexpaq 0:6c56fb4bc5f0 1391
nexpaq 0:6c56fb4bc5f0 1392 MBEDTLS_MPI_CHK( mbedtls_mpi_mul_int( &T1, &Y, Z.p[i - t - 1] ) );
nexpaq 0:6c56fb4bc5f0 1393 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_l( &T1, biL * ( i - t - 1 ) ) );
nexpaq 0:6c56fb4bc5f0 1394 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_mpi( &X, &X, &T1 ) );
nexpaq 0:6c56fb4bc5f0 1395
nexpaq 0:6c56fb4bc5f0 1396 if( mbedtls_mpi_cmp_int( &X, 0 ) < 0 )
nexpaq 0:6c56fb4bc5f0 1397 {
nexpaq 0:6c56fb4bc5f0 1398 MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &T1, &Y ) );
nexpaq 0:6c56fb4bc5f0 1399 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_l( &T1, biL * ( i - t - 1 ) ) );
nexpaq 0:6c56fb4bc5f0 1400 MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi( &X, &X, &T1 ) );
nexpaq 0:6c56fb4bc5f0 1401 Z.p[i - t - 1]--;
nexpaq 0:6c56fb4bc5f0 1402 }
nexpaq 0:6c56fb4bc5f0 1403 }
nexpaq 0:6c56fb4bc5f0 1404
nexpaq 0:6c56fb4bc5f0 1405 if( Q != NULL )
nexpaq 0:6c56fb4bc5f0 1406 {
nexpaq 0:6c56fb4bc5f0 1407 MBEDTLS_MPI_CHK( mbedtls_mpi_copy( Q, &Z ) );
nexpaq 0:6c56fb4bc5f0 1408 Q->s = A->s * B->s;
nexpaq 0:6c56fb4bc5f0 1409 }
nexpaq 0:6c56fb4bc5f0 1410
nexpaq 0:6c56fb4bc5f0 1411 if( R != NULL )
nexpaq 0:6c56fb4bc5f0 1412 {
nexpaq 0:6c56fb4bc5f0 1413 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &X, k ) );
nexpaq 0:6c56fb4bc5f0 1414 X.s = A->s;
nexpaq 0:6c56fb4bc5f0 1415 MBEDTLS_MPI_CHK( mbedtls_mpi_copy( R, &X ) );
nexpaq 0:6c56fb4bc5f0 1416
nexpaq 0:6c56fb4bc5f0 1417 if( mbedtls_mpi_cmp_int( R, 0 ) == 0 )
nexpaq 0:6c56fb4bc5f0 1418 R->s = 1;
nexpaq 0:6c56fb4bc5f0 1419 }
nexpaq 0:6c56fb4bc5f0 1420
nexpaq 0:6c56fb4bc5f0 1421 cleanup:
nexpaq 0:6c56fb4bc5f0 1422
nexpaq 0:6c56fb4bc5f0 1423 mbedtls_mpi_free( &X ); mbedtls_mpi_free( &Y ); mbedtls_mpi_free( &Z );
nexpaq 0:6c56fb4bc5f0 1424 mbedtls_mpi_free( &T1 ); mbedtls_mpi_free( &T2 );
nexpaq 0:6c56fb4bc5f0 1425
nexpaq 0:6c56fb4bc5f0 1426 return( ret );
nexpaq 0:6c56fb4bc5f0 1427 }
nexpaq 0:6c56fb4bc5f0 1428
nexpaq 0:6c56fb4bc5f0 1429 /*
nexpaq 0:6c56fb4bc5f0 1430 * Division by int: A = Q * b + R
nexpaq 0:6c56fb4bc5f0 1431 */
nexpaq 0:6c56fb4bc5f0 1432 int mbedtls_mpi_div_int( mbedtls_mpi *Q, mbedtls_mpi *R, const mbedtls_mpi *A, mbedtls_mpi_sint b )
nexpaq 0:6c56fb4bc5f0 1433 {
nexpaq 0:6c56fb4bc5f0 1434 mbedtls_mpi _B;
nexpaq 0:6c56fb4bc5f0 1435 mbedtls_mpi_uint p[1];
nexpaq 0:6c56fb4bc5f0 1436
nexpaq 0:6c56fb4bc5f0 1437 p[0] = ( b < 0 ) ? -b : b;
nexpaq 0:6c56fb4bc5f0 1438 _B.s = ( b < 0 ) ? -1 : 1;
nexpaq 0:6c56fb4bc5f0 1439 _B.n = 1;
nexpaq 0:6c56fb4bc5f0 1440 _B.p = p;
nexpaq 0:6c56fb4bc5f0 1441
nexpaq 0:6c56fb4bc5f0 1442 return( mbedtls_mpi_div_mpi( Q, R, A, &_B ) );
nexpaq 0:6c56fb4bc5f0 1443 }
nexpaq 0:6c56fb4bc5f0 1444
nexpaq 0:6c56fb4bc5f0 1445 /*
nexpaq 0:6c56fb4bc5f0 1446 * Modulo: R = A mod B
nexpaq 0:6c56fb4bc5f0 1447 */
nexpaq 0:6c56fb4bc5f0 1448 int mbedtls_mpi_mod_mpi( mbedtls_mpi *R, const mbedtls_mpi *A, const mbedtls_mpi *B )
nexpaq 0:6c56fb4bc5f0 1449 {
nexpaq 0:6c56fb4bc5f0 1450 int ret;
nexpaq 0:6c56fb4bc5f0 1451
nexpaq 0:6c56fb4bc5f0 1452 if( mbedtls_mpi_cmp_int( B, 0 ) < 0 )
nexpaq 0:6c56fb4bc5f0 1453 return( MBEDTLS_ERR_MPI_NEGATIVE_VALUE );
nexpaq 0:6c56fb4bc5f0 1454
nexpaq 0:6c56fb4bc5f0 1455 MBEDTLS_MPI_CHK( mbedtls_mpi_div_mpi( NULL, R, A, B ) );
nexpaq 0:6c56fb4bc5f0 1456
nexpaq 0:6c56fb4bc5f0 1457 while( mbedtls_mpi_cmp_int( R, 0 ) < 0 )
nexpaq 0:6c56fb4bc5f0 1458 MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi( R, R, B ) );
nexpaq 0:6c56fb4bc5f0 1459
nexpaq 0:6c56fb4bc5f0 1460 while( mbedtls_mpi_cmp_mpi( R, B ) >= 0 )
nexpaq 0:6c56fb4bc5f0 1461 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_mpi( R, R, B ) );
nexpaq 0:6c56fb4bc5f0 1462
nexpaq 0:6c56fb4bc5f0 1463 cleanup:
nexpaq 0:6c56fb4bc5f0 1464
nexpaq 0:6c56fb4bc5f0 1465 return( ret );
nexpaq 0:6c56fb4bc5f0 1466 }
nexpaq 0:6c56fb4bc5f0 1467
nexpaq 0:6c56fb4bc5f0 1468 /*
nexpaq 0:6c56fb4bc5f0 1469 * Modulo: r = A mod b
nexpaq 0:6c56fb4bc5f0 1470 */
nexpaq 0:6c56fb4bc5f0 1471 int mbedtls_mpi_mod_int( mbedtls_mpi_uint *r, const mbedtls_mpi *A, mbedtls_mpi_sint b )
nexpaq 0:6c56fb4bc5f0 1472 {
nexpaq 0:6c56fb4bc5f0 1473 size_t i;
nexpaq 0:6c56fb4bc5f0 1474 mbedtls_mpi_uint x, y, z;
nexpaq 0:6c56fb4bc5f0 1475
nexpaq 0:6c56fb4bc5f0 1476 if( b == 0 )
nexpaq 0:6c56fb4bc5f0 1477 return( MBEDTLS_ERR_MPI_DIVISION_BY_ZERO );
nexpaq 0:6c56fb4bc5f0 1478
nexpaq 0:6c56fb4bc5f0 1479 if( b < 0 )
nexpaq 0:6c56fb4bc5f0 1480 return( MBEDTLS_ERR_MPI_NEGATIVE_VALUE );
nexpaq 0:6c56fb4bc5f0 1481
nexpaq 0:6c56fb4bc5f0 1482 /*
nexpaq 0:6c56fb4bc5f0 1483 * handle trivial cases
nexpaq 0:6c56fb4bc5f0 1484 */
nexpaq 0:6c56fb4bc5f0 1485 if( b == 1 )
nexpaq 0:6c56fb4bc5f0 1486 {
nexpaq 0:6c56fb4bc5f0 1487 *r = 0;
nexpaq 0:6c56fb4bc5f0 1488 return( 0 );
nexpaq 0:6c56fb4bc5f0 1489 }
nexpaq 0:6c56fb4bc5f0 1490
nexpaq 0:6c56fb4bc5f0 1491 if( b == 2 )
nexpaq 0:6c56fb4bc5f0 1492 {
nexpaq 0:6c56fb4bc5f0 1493 *r = A->p[0] & 1;
nexpaq 0:6c56fb4bc5f0 1494 return( 0 );
nexpaq 0:6c56fb4bc5f0 1495 }
nexpaq 0:6c56fb4bc5f0 1496
nexpaq 0:6c56fb4bc5f0 1497 /*
nexpaq 0:6c56fb4bc5f0 1498 * general case
nexpaq 0:6c56fb4bc5f0 1499 */
nexpaq 0:6c56fb4bc5f0 1500 for( i = A->n, y = 0; i > 0; i-- )
nexpaq 0:6c56fb4bc5f0 1501 {
nexpaq 0:6c56fb4bc5f0 1502 x = A->p[i - 1];
nexpaq 0:6c56fb4bc5f0 1503 y = ( y << biH ) | ( x >> biH );
nexpaq 0:6c56fb4bc5f0 1504 z = y / b;
nexpaq 0:6c56fb4bc5f0 1505 y -= z * b;
nexpaq 0:6c56fb4bc5f0 1506
nexpaq 0:6c56fb4bc5f0 1507 x <<= biH;
nexpaq 0:6c56fb4bc5f0 1508 y = ( y << biH ) | ( x >> biH );
nexpaq 0:6c56fb4bc5f0 1509 z = y / b;
nexpaq 0:6c56fb4bc5f0 1510 y -= z * b;
nexpaq 0:6c56fb4bc5f0 1511 }
nexpaq 0:6c56fb4bc5f0 1512
nexpaq 0:6c56fb4bc5f0 1513 /*
nexpaq 0:6c56fb4bc5f0 1514 * If A is negative, then the current y represents a negative value.
nexpaq 0:6c56fb4bc5f0 1515 * Flipping it to the positive side.
nexpaq 0:6c56fb4bc5f0 1516 */
nexpaq 0:6c56fb4bc5f0 1517 if( A->s < 0 && y != 0 )
nexpaq 0:6c56fb4bc5f0 1518 y = b - y;
nexpaq 0:6c56fb4bc5f0 1519
nexpaq 0:6c56fb4bc5f0 1520 *r = y;
nexpaq 0:6c56fb4bc5f0 1521
nexpaq 0:6c56fb4bc5f0 1522 return( 0 );
nexpaq 0:6c56fb4bc5f0 1523 }
nexpaq 0:6c56fb4bc5f0 1524
nexpaq 0:6c56fb4bc5f0 1525 /*
nexpaq 0:6c56fb4bc5f0 1526 * Fast Montgomery initialization (thanks to Tom St Denis)
nexpaq 0:6c56fb4bc5f0 1527 */
nexpaq 0:6c56fb4bc5f0 1528 static void mpi_montg_init( mbedtls_mpi_uint *mm, const mbedtls_mpi *N )
nexpaq 0:6c56fb4bc5f0 1529 {
nexpaq 0:6c56fb4bc5f0 1530 mbedtls_mpi_uint x, m0 = N->p[0];
nexpaq 0:6c56fb4bc5f0 1531 unsigned int i;
nexpaq 0:6c56fb4bc5f0 1532
nexpaq 0:6c56fb4bc5f0 1533 x = m0;
nexpaq 0:6c56fb4bc5f0 1534 x += ( ( m0 + 2 ) & 4 ) << 1;
nexpaq 0:6c56fb4bc5f0 1535
nexpaq 0:6c56fb4bc5f0 1536 for( i = biL; i >= 8; i /= 2 )
nexpaq 0:6c56fb4bc5f0 1537 x *= ( 2 - ( m0 * x ) );
nexpaq 0:6c56fb4bc5f0 1538
nexpaq 0:6c56fb4bc5f0 1539 *mm = ~x + 1;
nexpaq 0:6c56fb4bc5f0 1540 }
nexpaq 0:6c56fb4bc5f0 1541
nexpaq 0:6c56fb4bc5f0 1542 /*
nexpaq 0:6c56fb4bc5f0 1543 * Montgomery multiplication: A = A * B * R^-1 mod N (HAC 14.36)
nexpaq 0:6c56fb4bc5f0 1544 */
nexpaq 0:6c56fb4bc5f0 1545 static int mpi_montmul( mbedtls_mpi *A, const mbedtls_mpi *B, const mbedtls_mpi *N, mbedtls_mpi_uint mm,
nexpaq 0:6c56fb4bc5f0 1546 const mbedtls_mpi *T )
nexpaq 0:6c56fb4bc5f0 1547 {
nexpaq 0:6c56fb4bc5f0 1548 size_t i, n, m;
nexpaq 0:6c56fb4bc5f0 1549 mbedtls_mpi_uint u0, u1, *d;
nexpaq 0:6c56fb4bc5f0 1550
nexpaq 0:6c56fb4bc5f0 1551 if( T->n < N->n + 1 || T->p == NULL )
nexpaq 0:6c56fb4bc5f0 1552 return( MBEDTLS_ERR_MPI_BAD_INPUT_DATA );
nexpaq 0:6c56fb4bc5f0 1553
nexpaq 0:6c56fb4bc5f0 1554 memset( T->p, 0, T->n * ciL );
nexpaq 0:6c56fb4bc5f0 1555
nexpaq 0:6c56fb4bc5f0 1556 d = T->p;
nexpaq 0:6c56fb4bc5f0 1557 n = N->n;
nexpaq 0:6c56fb4bc5f0 1558 m = ( B->n < n ) ? B->n : n;
nexpaq 0:6c56fb4bc5f0 1559
nexpaq 0:6c56fb4bc5f0 1560 for( i = 0; i < n; i++ )
nexpaq 0:6c56fb4bc5f0 1561 {
nexpaq 0:6c56fb4bc5f0 1562 /*
nexpaq 0:6c56fb4bc5f0 1563 * T = (T + u0*B + u1*N) / 2^biL
nexpaq 0:6c56fb4bc5f0 1564 */
nexpaq 0:6c56fb4bc5f0 1565 u0 = A->p[i];
nexpaq 0:6c56fb4bc5f0 1566 u1 = ( d[0] + u0 * B->p[0] ) * mm;
nexpaq 0:6c56fb4bc5f0 1567
nexpaq 0:6c56fb4bc5f0 1568 mpi_mul_hlp( m, B->p, d, u0 );
nexpaq 0:6c56fb4bc5f0 1569 mpi_mul_hlp( n, N->p, d, u1 );
nexpaq 0:6c56fb4bc5f0 1570
nexpaq 0:6c56fb4bc5f0 1571 *d++ = u0; d[n + 1] = 0;
nexpaq 0:6c56fb4bc5f0 1572 }
nexpaq 0:6c56fb4bc5f0 1573
nexpaq 0:6c56fb4bc5f0 1574 memcpy( A->p, d, ( n + 1 ) * ciL );
nexpaq 0:6c56fb4bc5f0 1575
nexpaq 0:6c56fb4bc5f0 1576 if( mbedtls_mpi_cmp_abs( A, N ) >= 0 )
nexpaq 0:6c56fb4bc5f0 1577 mpi_sub_hlp( n, N->p, A->p );
nexpaq 0:6c56fb4bc5f0 1578 else
nexpaq 0:6c56fb4bc5f0 1579 /* prevent timing attacks */
nexpaq 0:6c56fb4bc5f0 1580 mpi_sub_hlp( n, A->p, T->p );
nexpaq 0:6c56fb4bc5f0 1581
nexpaq 0:6c56fb4bc5f0 1582 return( 0 );
nexpaq 0:6c56fb4bc5f0 1583 }
nexpaq 0:6c56fb4bc5f0 1584
nexpaq 0:6c56fb4bc5f0 1585 /*
nexpaq 0:6c56fb4bc5f0 1586 * Montgomery reduction: A = A * R^-1 mod N
nexpaq 0:6c56fb4bc5f0 1587 */
nexpaq 0:6c56fb4bc5f0 1588 static int mpi_montred( mbedtls_mpi *A, const mbedtls_mpi *N, mbedtls_mpi_uint mm, const mbedtls_mpi *T )
nexpaq 0:6c56fb4bc5f0 1589 {
nexpaq 0:6c56fb4bc5f0 1590 mbedtls_mpi_uint z = 1;
nexpaq 0:6c56fb4bc5f0 1591 mbedtls_mpi U;
nexpaq 0:6c56fb4bc5f0 1592
nexpaq 0:6c56fb4bc5f0 1593 U.n = U.s = (int) z;
nexpaq 0:6c56fb4bc5f0 1594 U.p = &z;
nexpaq 0:6c56fb4bc5f0 1595
nexpaq 0:6c56fb4bc5f0 1596 return( mpi_montmul( A, &U, N, mm, T ) );
nexpaq 0:6c56fb4bc5f0 1597 }
nexpaq 0:6c56fb4bc5f0 1598
nexpaq 0:6c56fb4bc5f0 1599 /*
nexpaq 0:6c56fb4bc5f0 1600 * Sliding-window exponentiation: X = A^E mod N (HAC 14.85)
nexpaq 0:6c56fb4bc5f0 1601 */
nexpaq 0:6c56fb4bc5f0 1602 int mbedtls_mpi_exp_mod( mbedtls_mpi *X, const mbedtls_mpi *A, const mbedtls_mpi *E, const mbedtls_mpi *N, mbedtls_mpi *_RR )
nexpaq 0:6c56fb4bc5f0 1603 {
nexpaq 0:6c56fb4bc5f0 1604 int ret;
nexpaq 0:6c56fb4bc5f0 1605 size_t wbits, wsize, one = 1;
nexpaq 0:6c56fb4bc5f0 1606 size_t i, j, nblimbs;
nexpaq 0:6c56fb4bc5f0 1607 size_t bufsize, nbits;
nexpaq 0:6c56fb4bc5f0 1608 mbedtls_mpi_uint ei, mm, state;
nexpaq 0:6c56fb4bc5f0 1609 mbedtls_mpi RR, T, W[ 2 << MBEDTLS_MPI_WINDOW_SIZE ], Apos;
nexpaq 0:6c56fb4bc5f0 1610 int neg;
nexpaq 0:6c56fb4bc5f0 1611
nexpaq 0:6c56fb4bc5f0 1612 if( mbedtls_mpi_cmp_int( N, 0 ) < 0 || ( N->p[0] & 1 ) == 0 )
nexpaq 0:6c56fb4bc5f0 1613 return( MBEDTLS_ERR_MPI_BAD_INPUT_DATA );
nexpaq 0:6c56fb4bc5f0 1614
nexpaq 0:6c56fb4bc5f0 1615 if( mbedtls_mpi_cmp_int( E, 0 ) < 0 )
nexpaq 0:6c56fb4bc5f0 1616 return( MBEDTLS_ERR_MPI_BAD_INPUT_DATA );
nexpaq 0:6c56fb4bc5f0 1617
nexpaq 0:6c56fb4bc5f0 1618 /*
nexpaq 0:6c56fb4bc5f0 1619 * Init temps and window size
nexpaq 0:6c56fb4bc5f0 1620 */
nexpaq 0:6c56fb4bc5f0 1621 mpi_montg_init( &mm, N );
nexpaq 0:6c56fb4bc5f0 1622 mbedtls_mpi_init( &RR ); mbedtls_mpi_init( &T );
nexpaq 0:6c56fb4bc5f0 1623 mbedtls_mpi_init( &Apos );
nexpaq 0:6c56fb4bc5f0 1624 memset( W, 0, sizeof( W ) );
nexpaq 0:6c56fb4bc5f0 1625
nexpaq 0:6c56fb4bc5f0 1626 i = mbedtls_mpi_bitlen( E );
nexpaq 0:6c56fb4bc5f0 1627
nexpaq 0:6c56fb4bc5f0 1628 wsize = ( i > 671 ) ? 6 : ( i > 239 ) ? 5 :
nexpaq 0:6c56fb4bc5f0 1629 ( i > 79 ) ? 4 : ( i > 23 ) ? 3 : 1;
nexpaq 0:6c56fb4bc5f0 1630
nexpaq 0:6c56fb4bc5f0 1631 if( wsize > MBEDTLS_MPI_WINDOW_SIZE )
nexpaq 0:6c56fb4bc5f0 1632 wsize = MBEDTLS_MPI_WINDOW_SIZE;
nexpaq 0:6c56fb4bc5f0 1633
nexpaq 0:6c56fb4bc5f0 1634 j = N->n + 1;
nexpaq 0:6c56fb4bc5f0 1635 MBEDTLS_MPI_CHK( mbedtls_mpi_grow( X, j ) );
nexpaq 0:6c56fb4bc5f0 1636 MBEDTLS_MPI_CHK( mbedtls_mpi_grow( &W[1], j ) );
nexpaq 0:6c56fb4bc5f0 1637 MBEDTLS_MPI_CHK( mbedtls_mpi_grow( &T, j * 2 ) );
nexpaq 0:6c56fb4bc5f0 1638
nexpaq 0:6c56fb4bc5f0 1639 /*
nexpaq 0:6c56fb4bc5f0 1640 * Compensate for negative A (and correct at the end)
nexpaq 0:6c56fb4bc5f0 1641 */
nexpaq 0:6c56fb4bc5f0 1642 neg = ( A->s == -1 );
nexpaq 0:6c56fb4bc5f0 1643 if( neg )
nexpaq 0:6c56fb4bc5f0 1644 {
nexpaq 0:6c56fb4bc5f0 1645 MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &Apos, A ) );
nexpaq 0:6c56fb4bc5f0 1646 Apos.s = 1;
nexpaq 0:6c56fb4bc5f0 1647 A = &Apos;
nexpaq 0:6c56fb4bc5f0 1648 }
nexpaq 0:6c56fb4bc5f0 1649
nexpaq 0:6c56fb4bc5f0 1650 /*
nexpaq 0:6c56fb4bc5f0 1651 * If 1st call, pre-compute R^2 mod N
nexpaq 0:6c56fb4bc5f0 1652 */
nexpaq 0:6c56fb4bc5f0 1653 if( _RR == NULL || _RR->p == NULL )
nexpaq 0:6c56fb4bc5f0 1654 {
nexpaq 0:6c56fb4bc5f0 1655 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &RR, 1 ) );
nexpaq 0:6c56fb4bc5f0 1656 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_l( &RR, N->n * 2 * biL ) );
nexpaq 0:6c56fb4bc5f0 1657 MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( &RR, &RR, N ) );
nexpaq 0:6c56fb4bc5f0 1658
nexpaq 0:6c56fb4bc5f0 1659 if( _RR != NULL )
nexpaq 0:6c56fb4bc5f0 1660 memcpy( _RR, &RR, sizeof( mbedtls_mpi ) );
nexpaq 0:6c56fb4bc5f0 1661 }
nexpaq 0:6c56fb4bc5f0 1662 else
nexpaq 0:6c56fb4bc5f0 1663 memcpy( &RR, _RR, sizeof( mbedtls_mpi ) );
nexpaq 0:6c56fb4bc5f0 1664
nexpaq 0:6c56fb4bc5f0 1665 /*
nexpaq 0:6c56fb4bc5f0 1666 * W[1] = A * R^2 * R^-1 mod N = A * R mod N
nexpaq 0:6c56fb4bc5f0 1667 */
nexpaq 0:6c56fb4bc5f0 1668 if( mbedtls_mpi_cmp_mpi( A, N ) >= 0 )
nexpaq 0:6c56fb4bc5f0 1669 MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( &W[1], A, N ) );
nexpaq 0:6c56fb4bc5f0 1670 else
nexpaq 0:6c56fb4bc5f0 1671 MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &W[1], A ) );
nexpaq 0:6c56fb4bc5f0 1672
nexpaq 0:6c56fb4bc5f0 1673 MBEDTLS_MPI_CHK( mpi_montmul( &W[1], &RR, N, mm, &T ) );
nexpaq 0:6c56fb4bc5f0 1674
nexpaq 0:6c56fb4bc5f0 1675 /*
nexpaq 0:6c56fb4bc5f0 1676 * X = R^2 * R^-1 mod N = R mod N
nexpaq 0:6c56fb4bc5f0 1677 */
nexpaq 0:6c56fb4bc5f0 1678 MBEDTLS_MPI_CHK( mbedtls_mpi_copy( X, &RR ) );
nexpaq 0:6c56fb4bc5f0 1679 MBEDTLS_MPI_CHK( mpi_montred( X, N, mm, &T ) );
nexpaq 0:6c56fb4bc5f0 1680
nexpaq 0:6c56fb4bc5f0 1681 if( wsize > 1 )
nexpaq 0:6c56fb4bc5f0 1682 {
nexpaq 0:6c56fb4bc5f0 1683 /*
nexpaq 0:6c56fb4bc5f0 1684 * W[1 << (wsize - 1)] = W[1] ^ (wsize - 1)
nexpaq 0:6c56fb4bc5f0 1685 */
nexpaq 0:6c56fb4bc5f0 1686 j = one << ( wsize - 1 );
nexpaq 0:6c56fb4bc5f0 1687
nexpaq 0:6c56fb4bc5f0 1688 MBEDTLS_MPI_CHK( mbedtls_mpi_grow( &W[j], N->n + 1 ) );
nexpaq 0:6c56fb4bc5f0 1689 MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &W[j], &W[1] ) );
nexpaq 0:6c56fb4bc5f0 1690
nexpaq 0:6c56fb4bc5f0 1691 for( i = 0; i < wsize - 1; i++ )
nexpaq 0:6c56fb4bc5f0 1692 MBEDTLS_MPI_CHK( mpi_montmul( &W[j], &W[j], N, mm, &T ) );
nexpaq 0:6c56fb4bc5f0 1693
nexpaq 0:6c56fb4bc5f0 1694 /*
nexpaq 0:6c56fb4bc5f0 1695 * W[i] = W[i - 1] * W[1]
nexpaq 0:6c56fb4bc5f0 1696 */
nexpaq 0:6c56fb4bc5f0 1697 for( i = j + 1; i < ( one << wsize ); i++ )
nexpaq 0:6c56fb4bc5f0 1698 {
nexpaq 0:6c56fb4bc5f0 1699 MBEDTLS_MPI_CHK( mbedtls_mpi_grow( &W[i], N->n + 1 ) );
nexpaq 0:6c56fb4bc5f0 1700 MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &W[i], &W[i - 1] ) );
nexpaq 0:6c56fb4bc5f0 1701
nexpaq 0:6c56fb4bc5f0 1702 MBEDTLS_MPI_CHK( mpi_montmul( &W[i], &W[1], N, mm, &T ) );
nexpaq 0:6c56fb4bc5f0 1703 }
nexpaq 0:6c56fb4bc5f0 1704 }
nexpaq 0:6c56fb4bc5f0 1705
nexpaq 0:6c56fb4bc5f0 1706 nblimbs = E->n;
nexpaq 0:6c56fb4bc5f0 1707 bufsize = 0;
nexpaq 0:6c56fb4bc5f0 1708 nbits = 0;
nexpaq 0:6c56fb4bc5f0 1709 wbits = 0;
nexpaq 0:6c56fb4bc5f0 1710 state = 0;
nexpaq 0:6c56fb4bc5f0 1711
nexpaq 0:6c56fb4bc5f0 1712 while( 1 )
nexpaq 0:6c56fb4bc5f0 1713 {
nexpaq 0:6c56fb4bc5f0 1714 if( bufsize == 0 )
nexpaq 0:6c56fb4bc5f0 1715 {
nexpaq 0:6c56fb4bc5f0 1716 if( nblimbs == 0 )
nexpaq 0:6c56fb4bc5f0 1717 break;
nexpaq 0:6c56fb4bc5f0 1718
nexpaq 0:6c56fb4bc5f0 1719 nblimbs--;
nexpaq 0:6c56fb4bc5f0 1720
nexpaq 0:6c56fb4bc5f0 1721 bufsize = sizeof( mbedtls_mpi_uint ) << 3;
nexpaq 0:6c56fb4bc5f0 1722 }
nexpaq 0:6c56fb4bc5f0 1723
nexpaq 0:6c56fb4bc5f0 1724 bufsize--;
nexpaq 0:6c56fb4bc5f0 1725
nexpaq 0:6c56fb4bc5f0 1726 ei = (E->p[nblimbs] >> bufsize) & 1;
nexpaq 0:6c56fb4bc5f0 1727
nexpaq 0:6c56fb4bc5f0 1728 /*
nexpaq 0:6c56fb4bc5f0 1729 * skip leading 0s
nexpaq 0:6c56fb4bc5f0 1730 */
nexpaq 0:6c56fb4bc5f0 1731 if( ei == 0 && state == 0 )
nexpaq 0:6c56fb4bc5f0 1732 continue;
nexpaq 0:6c56fb4bc5f0 1733
nexpaq 0:6c56fb4bc5f0 1734 if( ei == 0 && state == 1 )
nexpaq 0:6c56fb4bc5f0 1735 {
nexpaq 0:6c56fb4bc5f0 1736 /*
nexpaq 0:6c56fb4bc5f0 1737 * out of window, square X
nexpaq 0:6c56fb4bc5f0 1738 */
nexpaq 0:6c56fb4bc5f0 1739 MBEDTLS_MPI_CHK( mpi_montmul( X, X, N, mm, &T ) );
nexpaq 0:6c56fb4bc5f0 1740 continue;
nexpaq 0:6c56fb4bc5f0 1741 }
nexpaq 0:6c56fb4bc5f0 1742
nexpaq 0:6c56fb4bc5f0 1743 /*
nexpaq 0:6c56fb4bc5f0 1744 * add ei to current window
nexpaq 0:6c56fb4bc5f0 1745 */
nexpaq 0:6c56fb4bc5f0 1746 state = 2;
nexpaq 0:6c56fb4bc5f0 1747
nexpaq 0:6c56fb4bc5f0 1748 nbits++;
nexpaq 0:6c56fb4bc5f0 1749 wbits |= ( ei << ( wsize - nbits ) );
nexpaq 0:6c56fb4bc5f0 1750
nexpaq 0:6c56fb4bc5f0 1751 if( nbits == wsize )
nexpaq 0:6c56fb4bc5f0 1752 {
nexpaq 0:6c56fb4bc5f0 1753 /*
nexpaq 0:6c56fb4bc5f0 1754 * X = X^wsize R^-1 mod N
nexpaq 0:6c56fb4bc5f0 1755 */
nexpaq 0:6c56fb4bc5f0 1756 for( i = 0; i < wsize; i++ )
nexpaq 0:6c56fb4bc5f0 1757 MBEDTLS_MPI_CHK( mpi_montmul( X, X, N, mm, &T ) );
nexpaq 0:6c56fb4bc5f0 1758
nexpaq 0:6c56fb4bc5f0 1759 /*
nexpaq 0:6c56fb4bc5f0 1760 * X = X * W[wbits] R^-1 mod N
nexpaq 0:6c56fb4bc5f0 1761 */
nexpaq 0:6c56fb4bc5f0 1762 MBEDTLS_MPI_CHK( mpi_montmul( X, &W[wbits], N, mm, &T ) );
nexpaq 0:6c56fb4bc5f0 1763
nexpaq 0:6c56fb4bc5f0 1764 state--;
nexpaq 0:6c56fb4bc5f0 1765 nbits = 0;
nexpaq 0:6c56fb4bc5f0 1766 wbits = 0;
nexpaq 0:6c56fb4bc5f0 1767 }
nexpaq 0:6c56fb4bc5f0 1768 }
nexpaq 0:6c56fb4bc5f0 1769
nexpaq 0:6c56fb4bc5f0 1770 /*
nexpaq 0:6c56fb4bc5f0 1771 * process the remaining bits
nexpaq 0:6c56fb4bc5f0 1772 */
nexpaq 0:6c56fb4bc5f0 1773 for( i = 0; i < nbits; i++ )
nexpaq 0:6c56fb4bc5f0 1774 {
nexpaq 0:6c56fb4bc5f0 1775 MBEDTLS_MPI_CHK( mpi_montmul( X, X, N, mm, &T ) );
nexpaq 0:6c56fb4bc5f0 1776
nexpaq 0:6c56fb4bc5f0 1777 wbits <<= 1;
nexpaq 0:6c56fb4bc5f0 1778
nexpaq 0:6c56fb4bc5f0 1779 if( ( wbits & ( one << wsize ) ) != 0 )
nexpaq 0:6c56fb4bc5f0 1780 MBEDTLS_MPI_CHK( mpi_montmul( X, &W[1], N, mm, &T ) );
nexpaq 0:6c56fb4bc5f0 1781 }
nexpaq 0:6c56fb4bc5f0 1782
nexpaq 0:6c56fb4bc5f0 1783 /*
nexpaq 0:6c56fb4bc5f0 1784 * X = A^E * R * R^-1 mod N = A^E mod N
nexpaq 0:6c56fb4bc5f0 1785 */
nexpaq 0:6c56fb4bc5f0 1786 MBEDTLS_MPI_CHK( mpi_montred( X, N, mm, &T ) );
nexpaq 0:6c56fb4bc5f0 1787
nexpaq 0:6c56fb4bc5f0 1788 if( neg )
nexpaq 0:6c56fb4bc5f0 1789 {
nexpaq 0:6c56fb4bc5f0 1790 X->s = -1;
nexpaq 0:6c56fb4bc5f0 1791 MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi( X, N, X ) );
nexpaq 0:6c56fb4bc5f0 1792 }
nexpaq 0:6c56fb4bc5f0 1793
nexpaq 0:6c56fb4bc5f0 1794 cleanup:
nexpaq 0:6c56fb4bc5f0 1795
nexpaq 0:6c56fb4bc5f0 1796 for( i = ( one << ( wsize - 1 ) ); i < ( one << wsize ); i++ )
nexpaq 0:6c56fb4bc5f0 1797 mbedtls_mpi_free( &W[i] );
nexpaq 0:6c56fb4bc5f0 1798
nexpaq 0:6c56fb4bc5f0 1799 mbedtls_mpi_free( &W[1] ); mbedtls_mpi_free( &T ); mbedtls_mpi_free( &Apos );
nexpaq 0:6c56fb4bc5f0 1800
nexpaq 0:6c56fb4bc5f0 1801 if( _RR == NULL || _RR->p == NULL )
nexpaq 0:6c56fb4bc5f0 1802 mbedtls_mpi_free( &RR );
nexpaq 0:6c56fb4bc5f0 1803
nexpaq 0:6c56fb4bc5f0 1804 return( ret );
nexpaq 0:6c56fb4bc5f0 1805 }
nexpaq 0:6c56fb4bc5f0 1806
nexpaq 0:6c56fb4bc5f0 1807 /*
nexpaq 0:6c56fb4bc5f0 1808 * Greatest common divisor: G = gcd(A, B) (HAC 14.54)
nexpaq 0:6c56fb4bc5f0 1809 */
nexpaq 0:6c56fb4bc5f0 1810 int mbedtls_mpi_gcd( mbedtls_mpi *G, const mbedtls_mpi *A, const mbedtls_mpi *B )
nexpaq 0:6c56fb4bc5f0 1811 {
nexpaq 0:6c56fb4bc5f0 1812 int ret;
nexpaq 0:6c56fb4bc5f0 1813 size_t lz, lzt;
nexpaq 0:6c56fb4bc5f0 1814 mbedtls_mpi TG, TA, TB;
nexpaq 0:6c56fb4bc5f0 1815
nexpaq 0:6c56fb4bc5f0 1816 mbedtls_mpi_init( &TG ); mbedtls_mpi_init( &TA ); mbedtls_mpi_init( &TB );
nexpaq 0:6c56fb4bc5f0 1817
nexpaq 0:6c56fb4bc5f0 1818 MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &TA, A ) );
nexpaq 0:6c56fb4bc5f0 1819 MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &TB, B ) );
nexpaq 0:6c56fb4bc5f0 1820
nexpaq 0:6c56fb4bc5f0 1821 lz = mbedtls_mpi_lsb( &TA );
nexpaq 0:6c56fb4bc5f0 1822 lzt = mbedtls_mpi_lsb( &TB );
nexpaq 0:6c56fb4bc5f0 1823
nexpaq 0:6c56fb4bc5f0 1824 if( lzt < lz )
nexpaq 0:6c56fb4bc5f0 1825 lz = lzt;
nexpaq 0:6c56fb4bc5f0 1826
nexpaq 0:6c56fb4bc5f0 1827 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &TA, lz ) );
nexpaq 0:6c56fb4bc5f0 1828 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &TB, lz ) );
nexpaq 0:6c56fb4bc5f0 1829
nexpaq 0:6c56fb4bc5f0 1830 TA.s = TB.s = 1;
nexpaq 0:6c56fb4bc5f0 1831
nexpaq 0:6c56fb4bc5f0 1832 while( mbedtls_mpi_cmp_int( &TA, 0 ) != 0 )
nexpaq 0:6c56fb4bc5f0 1833 {
nexpaq 0:6c56fb4bc5f0 1834 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &TA, mbedtls_mpi_lsb( &TA ) ) );
nexpaq 0:6c56fb4bc5f0 1835 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &TB, mbedtls_mpi_lsb( &TB ) ) );
nexpaq 0:6c56fb4bc5f0 1836
nexpaq 0:6c56fb4bc5f0 1837 if( mbedtls_mpi_cmp_mpi( &TA, &TB ) >= 0 )
nexpaq 0:6c56fb4bc5f0 1838 {
nexpaq 0:6c56fb4bc5f0 1839 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_abs( &TA, &TA, &TB ) );
nexpaq 0:6c56fb4bc5f0 1840 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &TA, 1 ) );
nexpaq 0:6c56fb4bc5f0 1841 }
nexpaq 0:6c56fb4bc5f0 1842 else
nexpaq 0:6c56fb4bc5f0 1843 {
nexpaq 0:6c56fb4bc5f0 1844 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_abs( &TB, &TB, &TA ) );
nexpaq 0:6c56fb4bc5f0 1845 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &TB, 1 ) );
nexpaq 0:6c56fb4bc5f0 1846 }
nexpaq 0:6c56fb4bc5f0 1847 }
nexpaq 0:6c56fb4bc5f0 1848
nexpaq 0:6c56fb4bc5f0 1849 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_l( &TB, lz ) );
nexpaq 0:6c56fb4bc5f0 1850 MBEDTLS_MPI_CHK( mbedtls_mpi_copy( G, &TB ) );
nexpaq 0:6c56fb4bc5f0 1851
nexpaq 0:6c56fb4bc5f0 1852 cleanup:
nexpaq 0:6c56fb4bc5f0 1853
nexpaq 0:6c56fb4bc5f0 1854 mbedtls_mpi_free( &TG ); mbedtls_mpi_free( &TA ); mbedtls_mpi_free( &TB );
nexpaq 0:6c56fb4bc5f0 1855
nexpaq 0:6c56fb4bc5f0 1856 return( ret );
nexpaq 0:6c56fb4bc5f0 1857 }
nexpaq 0:6c56fb4bc5f0 1858
nexpaq 0:6c56fb4bc5f0 1859 /*
nexpaq 0:6c56fb4bc5f0 1860 * Fill X with size bytes of random.
nexpaq 0:6c56fb4bc5f0 1861 *
nexpaq 0:6c56fb4bc5f0 1862 * Use a temporary bytes representation to make sure the result is the same
nexpaq 0:6c56fb4bc5f0 1863 * regardless of the platform endianness (useful when f_rng is actually
nexpaq 0:6c56fb4bc5f0 1864 * deterministic, eg for tests).
nexpaq 0:6c56fb4bc5f0 1865 */
nexpaq 0:6c56fb4bc5f0 1866 int mbedtls_mpi_fill_random( mbedtls_mpi *X, size_t size,
nexpaq 0:6c56fb4bc5f0 1867 int (*f_rng)(void *, unsigned char *, size_t),
nexpaq 0:6c56fb4bc5f0 1868 void *p_rng )
nexpaq 0:6c56fb4bc5f0 1869 {
nexpaq 0:6c56fb4bc5f0 1870 int ret;
nexpaq 0:6c56fb4bc5f0 1871 unsigned char buf[MBEDTLS_MPI_MAX_SIZE];
nexpaq 0:6c56fb4bc5f0 1872
nexpaq 0:6c56fb4bc5f0 1873 if( size > MBEDTLS_MPI_MAX_SIZE )
nexpaq 0:6c56fb4bc5f0 1874 return( MBEDTLS_ERR_MPI_BAD_INPUT_DATA );
nexpaq 0:6c56fb4bc5f0 1875
nexpaq 0:6c56fb4bc5f0 1876 MBEDTLS_MPI_CHK( f_rng( p_rng, buf, size ) );
nexpaq 0:6c56fb4bc5f0 1877 MBEDTLS_MPI_CHK( mbedtls_mpi_read_binary( X, buf, size ) );
nexpaq 0:6c56fb4bc5f0 1878
nexpaq 0:6c56fb4bc5f0 1879 cleanup:
nexpaq 0:6c56fb4bc5f0 1880 return( ret );
nexpaq 0:6c56fb4bc5f0 1881 }
nexpaq 0:6c56fb4bc5f0 1882
nexpaq 0:6c56fb4bc5f0 1883 /*
nexpaq 0:6c56fb4bc5f0 1884 * Modular inverse: X = A^-1 mod N (HAC 14.61 / 14.64)
nexpaq 0:6c56fb4bc5f0 1885 */
nexpaq 0:6c56fb4bc5f0 1886 int mbedtls_mpi_inv_mod( mbedtls_mpi *X, const mbedtls_mpi *A, const mbedtls_mpi *N )
nexpaq 0:6c56fb4bc5f0 1887 {
nexpaq 0:6c56fb4bc5f0 1888 int ret;
nexpaq 0:6c56fb4bc5f0 1889 mbedtls_mpi G, TA, TU, U1, U2, TB, TV, V1, V2;
nexpaq 0:6c56fb4bc5f0 1890
nexpaq 0:6c56fb4bc5f0 1891 if( mbedtls_mpi_cmp_int( N, 0 ) <= 0 )
nexpaq 0:6c56fb4bc5f0 1892 return( MBEDTLS_ERR_MPI_BAD_INPUT_DATA );
nexpaq 0:6c56fb4bc5f0 1893
nexpaq 0:6c56fb4bc5f0 1894 mbedtls_mpi_init( &TA ); mbedtls_mpi_init( &TU ); mbedtls_mpi_init( &U1 ); mbedtls_mpi_init( &U2 );
nexpaq 0:6c56fb4bc5f0 1895 mbedtls_mpi_init( &G ); mbedtls_mpi_init( &TB ); mbedtls_mpi_init( &TV );
nexpaq 0:6c56fb4bc5f0 1896 mbedtls_mpi_init( &V1 ); mbedtls_mpi_init( &V2 );
nexpaq 0:6c56fb4bc5f0 1897
nexpaq 0:6c56fb4bc5f0 1898 MBEDTLS_MPI_CHK( mbedtls_mpi_gcd( &G, A, N ) );
nexpaq 0:6c56fb4bc5f0 1899
nexpaq 0:6c56fb4bc5f0 1900 if( mbedtls_mpi_cmp_int( &G, 1 ) != 0 )
nexpaq 0:6c56fb4bc5f0 1901 {
nexpaq 0:6c56fb4bc5f0 1902 ret = MBEDTLS_ERR_MPI_NOT_ACCEPTABLE;
nexpaq 0:6c56fb4bc5f0 1903 goto cleanup;
nexpaq 0:6c56fb4bc5f0 1904 }
nexpaq 0:6c56fb4bc5f0 1905
nexpaq 0:6c56fb4bc5f0 1906 MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( &TA, A, N ) );
nexpaq 0:6c56fb4bc5f0 1907 MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &TU, &TA ) );
nexpaq 0:6c56fb4bc5f0 1908 MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &TB, N ) );
nexpaq 0:6c56fb4bc5f0 1909 MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &TV, N ) );
nexpaq 0:6c56fb4bc5f0 1910
nexpaq 0:6c56fb4bc5f0 1911 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &U1, 1 ) );
nexpaq 0:6c56fb4bc5f0 1912 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &U2, 0 ) );
nexpaq 0:6c56fb4bc5f0 1913 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &V1, 0 ) );
nexpaq 0:6c56fb4bc5f0 1914 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &V2, 1 ) );
nexpaq 0:6c56fb4bc5f0 1915
nexpaq 0:6c56fb4bc5f0 1916 do
nexpaq 0:6c56fb4bc5f0 1917 {
nexpaq 0:6c56fb4bc5f0 1918 while( ( TU.p[0] & 1 ) == 0 )
nexpaq 0:6c56fb4bc5f0 1919 {
nexpaq 0:6c56fb4bc5f0 1920 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &TU, 1 ) );
nexpaq 0:6c56fb4bc5f0 1921
nexpaq 0:6c56fb4bc5f0 1922 if( ( U1.p[0] & 1 ) != 0 || ( U2.p[0] & 1 ) != 0 )
nexpaq 0:6c56fb4bc5f0 1923 {
nexpaq 0:6c56fb4bc5f0 1924 MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi( &U1, &U1, &TB ) );
nexpaq 0:6c56fb4bc5f0 1925 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_mpi( &U2, &U2, &TA ) );
nexpaq 0:6c56fb4bc5f0 1926 }
nexpaq 0:6c56fb4bc5f0 1927
nexpaq 0:6c56fb4bc5f0 1928 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &U1, 1 ) );
nexpaq 0:6c56fb4bc5f0 1929 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &U2, 1 ) );
nexpaq 0:6c56fb4bc5f0 1930 }
nexpaq 0:6c56fb4bc5f0 1931
nexpaq 0:6c56fb4bc5f0 1932 while( ( TV.p[0] & 1 ) == 0 )
nexpaq 0:6c56fb4bc5f0 1933 {
nexpaq 0:6c56fb4bc5f0 1934 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &TV, 1 ) );
nexpaq 0:6c56fb4bc5f0 1935
nexpaq 0:6c56fb4bc5f0 1936 if( ( V1.p[0] & 1 ) != 0 || ( V2.p[0] & 1 ) != 0 )
nexpaq 0:6c56fb4bc5f0 1937 {
nexpaq 0:6c56fb4bc5f0 1938 MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi( &V1, &V1, &TB ) );
nexpaq 0:6c56fb4bc5f0 1939 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_mpi( &V2, &V2, &TA ) );
nexpaq 0:6c56fb4bc5f0 1940 }
nexpaq 0:6c56fb4bc5f0 1941
nexpaq 0:6c56fb4bc5f0 1942 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &V1, 1 ) );
nexpaq 0:6c56fb4bc5f0 1943 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &V2, 1 ) );
nexpaq 0:6c56fb4bc5f0 1944 }
nexpaq 0:6c56fb4bc5f0 1945
nexpaq 0:6c56fb4bc5f0 1946 if( mbedtls_mpi_cmp_mpi( &TU, &TV ) >= 0 )
nexpaq 0:6c56fb4bc5f0 1947 {
nexpaq 0:6c56fb4bc5f0 1948 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_mpi( &TU, &TU, &TV ) );
nexpaq 0:6c56fb4bc5f0 1949 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_mpi( &U1, &U1, &V1 ) );
nexpaq 0:6c56fb4bc5f0 1950 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_mpi( &U2, &U2, &V2 ) );
nexpaq 0:6c56fb4bc5f0 1951 }
nexpaq 0:6c56fb4bc5f0 1952 else
nexpaq 0:6c56fb4bc5f0 1953 {
nexpaq 0:6c56fb4bc5f0 1954 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_mpi( &TV, &TV, &TU ) );
nexpaq 0:6c56fb4bc5f0 1955 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_mpi( &V1, &V1, &U1 ) );
nexpaq 0:6c56fb4bc5f0 1956 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_mpi( &V2, &V2, &U2 ) );
nexpaq 0:6c56fb4bc5f0 1957 }
nexpaq 0:6c56fb4bc5f0 1958 }
nexpaq 0:6c56fb4bc5f0 1959 while( mbedtls_mpi_cmp_int( &TU, 0 ) != 0 );
nexpaq 0:6c56fb4bc5f0 1960
nexpaq 0:6c56fb4bc5f0 1961 while( mbedtls_mpi_cmp_int( &V1, 0 ) < 0 )
nexpaq 0:6c56fb4bc5f0 1962 MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi( &V1, &V1, N ) );
nexpaq 0:6c56fb4bc5f0 1963
nexpaq 0:6c56fb4bc5f0 1964 while( mbedtls_mpi_cmp_mpi( &V1, N ) >= 0 )
nexpaq 0:6c56fb4bc5f0 1965 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_mpi( &V1, &V1, N ) );
nexpaq 0:6c56fb4bc5f0 1966
nexpaq 0:6c56fb4bc5f0 1967 MBEDTLS_MPI_CHK( mbedtls_mpi_copy( X, &V1 ) );
nexpaq 0:6c56fb4bc5f0 1968
nexpaq 0:6c56fb4bc5f0 1969 cleanup:
nexpaq 0:6c56fb4bc5f0 1970
nexpaq 0:6c56fb4bc5f0 1971 mbedtls_mpi_free( &TA ); mbedtls_mpi_free( &TU ); mbedtls_mpi_free( &U1 ); mbedtls_mpi_free( &U2 );
nexpaq 0:6c56fb4bc5f0 1972 mbedtls_mpi_free( &G ); mbedtls_mpi_free( &TB ); mbedtls_mpi_free( &TV );
nexpaq 0:6c56fb4bc5f0 1973 mbedtls_mpi_free( &V1 ); mbedtls_mpi_free( &V2 );
nexpaq 0:6c56fb4bc5f0 1974
nexpaq 0:6c56fb4bc5f0 1975 return( ret );
nexpaq 0:6c56fb4bc5f0 1976 }
nexpaq 0:6c56fb4bc5f0 1977
nexpaq 0:6c56fb4bc5f0 1978 #if defined(MBEDTLS_GENPRIME)
nexpaq 0:6c56fb4bc5f0 1979
nexpaq 0:6c56fb4bc5f0 1980 static const int small_prime[] =
nexpaq 0:6c56fb4bc5f0 1981 {
nexpaq 0:6c56fb4bc5f0 1982 3, 5, 7, 11, 13, 17, 19, 23,
nexpaq 0:6c56fb4bc5f0 1983 29, 31, 37, 41, 43, 47, 53, 59,
nexpaq 0:6c56fb4bc5f0 1984 61, 67, 71, 73, 79, 83, 89, 97,
nexpaq 0:6c56fb4bc5f0 1985 101, 103, 107, 109, 113, 127, 131, 137,
nexpaq 0:6c56fb4bc5f0 1986 139, 149, 151, 157, 163, 167, 173, 179,
nexpaq 0:6c56fb4bc5f0 1987 181, 191, 193, 197, 199, 211, 223, 227,
nexpaq 0:6c56fb4bc5f0 1988 229, 233, 239, 241, 251, 257, 263, 269,
nexpaq 0:6c56fb4bc5f0 1989 271, 277, 281, 283, 293, 307, 311, 313,
nexpaq 0:6c56fb4bc5f0 1990 317, 331, 337, 347, 349, 353, 359, 367,
nexpaq 0:6c56fb4bc5f0 1991 373, 379, 383, 389, 397, 401, 409, 419,
nexpaq 0:6c56fb4bc5f0 1992 421, 431, 433, 439, 443, 449, 457, 461,
nexpaq 0:6c56fb4bc5f0 1993 463, 467, 479, 487, 491, 499, 503, 509,
nexpaq 0:6c56fb4bc5f0 1994 521, 523, 541, 547, 557, 563, 569, 571,
nexpaq 0:6c56fb4bc5f0 1995 577, 587, 593, 599, 601, 607, 613, 617,
nexpaq 0:6c56fb4bc5f0 1996 619, 631, 641, 643, 647, 653, 659, 661,
nexpaq 0:6c56fb4bc5f0 1997 673, 677, 683, 691, 701, 709, 719, 727,
nexpaq 0:6c56fb4bc5f0 1998 733, 739, 743, 751, 757, 761, 769, 773,
nexpaq 0:6c56fb4bc5f0 1999 787, 797, 809, 811, 821, 823, 827, 829,
nexpaq 0:6c56fb4bc5f0 2000 839, 853, 857, 859, 863, 877, 881, 883,
nexpaq 0:6c56fb4bc5f0 2001 887, 907, 911, 919, 929, 937, 941, 947,
nexpaq 0:6c56fb4bc5f0 2002 953, 967, 971, 977, 983, 991, 997, -103
nexpaq 0:6c56fb4bc5f0 2003 };
nexpaq 0:6c56fb4bc5f0 2004
nexpaq 0:6c56fb4bc5f0 2005 /*
nexpaq 0:6c56fb4bc5f0 2006 * Small divisors test (X must be positive)
nexpaq 0:6c56fb4bc5f0 2007 *
nexpaq 0:6c56fb4bc5f0 2008 * Return values:
nexpaq 0:6c56fb4bc5f0 2009 * 0: no small factor (possible prime, more tests needed)
nexpaq 0:6c56fb4bc5f0 2010 * 1: certain prime
nexpaq 0:6c56fb4bc5f0 2011 * MBEDTLS_ERR_MPI_NOT_ACCEPTABLE: certain non-prime
nexpaq 0:6c56fb4bc5f0 2012 * other negative: error
nexpaq 0:6c56fb4bc5f0 2013 */
nexpaq 0:6c56fb4bc5f0 2014 static int mpi_check_small_factors( const mbedtls_mpi *X )
nexpaq 0:6c56fb4bc5f0 2015 {
nexpaq 0:6c56fb4bc5f0 2016 int ret = 0;
nexpaq 0:6c56fb4bc5f0 2017 size_t i;
nexpaq 0:6c56fb4bc5f0 2018 mbedtls_mpi_uint r;
nexpaq 0:6c56fb4bc5f0 2019
nexpaq 0:6c56fb4bc5f0 2020 if( ( X->p[0] & 1 ) == 0 )
nexpaq 0:6c56fb4bc5f0 2021 return( MBEDTLS_ERR_MPI_NOT_ACCEPTABLE );
nexpaq 0:6c56fb4bc5f0 2022
nexpaq 0:6c56fb4bc5f0 2023 for( i = 0; small_prime[i] > 0; i++ )
nexpaq 0:6c56fb4bc5f0 2024 {
nexpaq 0:6c56fb4bc5f0 2025 if( mbedtls_mpi_cmp_int( X, small_prime[i] ) <= 0 )
nexpaq 0:6c56fb4bc5f0 2026 return( 1 );
nexpaq 0:6c56fb4bc5f0 2027
nexpaq 0:6c56fb4bc5f0 2028 MBEDTLS_MPI_CHK( mbedtls_mpi_mod_int( &r, X, small_prime[i] ) );
nexpaq 0:6c56fb4bc5f0 2029
nexpaq 0:6c56fb4bc5f0 2030 if( r == 0 )
nexpaq 0:6c56fb4bc5f0 2031 return( MBEDTLS_ERR_MPI_NOT_ACCEPTABLE );
nexpaq 0:6c56fb4bc5f0 2032 }
nexpaq 0:6c56fb4bc5f0 2033
nexpaq 0:6c56fb4bc5f0 2034 cleanup:
nexpaq 0:6c56fb4bc5f0 2035 return( ret );
nexpaq 0:6c56fb4bc5f0 2036 }
nexpaq 0:6c56fb4bc5f0 2037
nexpaq 0:6c56fb4bc5f0 2038 /*
nexpaq 0:6c56fb4bc5f0 2039 * Miller-Rabin pseudo-primality test (HAC 4.24)
nexpaq 0:6c56fb4bc5f0 2040 */
nexpaq 0:6c56fb4bc5f0 2041 static int mpi_miller_rabin( const mbedtls_mpi *X,
nexpaq 0:6c56fb4bc5f0 2042 int (*f_rng)(void *, unsigned char *, size_t),
nexpaq 0:6c56fb4bc5f0 2043 void *p_rng )
nexpaq 0:6c56fb4bc5f0 2044 {
nexpaq 0:6c56fb4bc5f0 2045 int ret, count;
nexpaq 0:6c56fb4bc5f0 2046 size_t i, j, k, n, s;
nexpaq 0:6c56fb4bc5f0 2047 mbedtls_mpi W, R, T, A, RR;
nexpaq 0:6c56fb4bc5f0 2048
nexpaq 0:6c56fb4bc5f0 2049 mbedtls_mpi_init( &W ); mbedtls_mpi_init( &R ); mbedtls_mpi_init( &T ); mbedtls_mpi_init( &A );
nexpaq 0:6c56fb4bc5f0 2050 mbedtls_mpi_init( &RR );
nexpaq 0:6c56fb4bc5f0 2051
nexpaq 0:6c56fb4bc5f0 2052 /*
nexpaq 0:6c56fb4bc5f0 2053 * W = |X| - 1
nexpaq 0:6c56fb4bc5f0 2054 * R = W >> lsb( W )
nexpaq 0:6c56fb4bc5f0 2055 */
nexpaq 0:6c56fb4bc5f0 2056 MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &W, X, 1 ) );
nexpaq 0:6c56fb4bc5f0 2057 s = mbedtls_mpi_lsb( &W );
nexpaq 0:6c56fb4bc5f0 2058 MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &R, &W ) );
nexpaq 0:6c56fb4bc5f0 2059 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &R, s ) );
nexpaq 0:6c56fb4bc5f0 2060
nexpaq 0:6c56fb4bc5f0 2061 i = mbedtls_mpi_bitlen( X );
nexpaq 0:6c56fb4bc5f0 2062 /*
nexpaq 0:6c56fb4bc5f0 2063 * HAC, table 4.4
nexpaq 0:6c56fb4bc5f0 2064 */
nexpaq 0:6c56fb4bc5f0 2065 n = ( ( i >= 1300 ) ? 2 : ( i >= 850 ) ? 3 :
nexpaq 0:6c56fb4bc5f0 2066 ( i >= 650 ) ? 4 : ( i >= 350 ) ? 8 :
nexpaq 0:6c56fb4bc5f0 2067 ( i >= 250 ) ? 12 : ( i >= 150 ) ? 18 : 27 );
nexpaq 0:6c56fb4bc5f0 2068
nexpaq 0:6c56fb4bc5f0 2069 for( i = 0; i < n; i++ )
nexpaq 0:6c56fb4bc5f0 2070 {
nexpaq 0:6c56fb4bc5f0 2071 /*
nexpaq 0:6c56fb4bc5f0 2072 * pick a random A, 1 < A < |X| - 1
nexpaq 0:6c56fb4bc5f0 2073 */
nexpaq 0:6c56fb4bc5f0 2074 MBEDTLS_MPI_CHK( mbedtls_mpi_fill_random( &A, X->n * ciL, f_rng, p_rng ) );
nexpaq 0:6c56fb4bc5f0 2075
nexpaq 0:6c56fb4bc5f0 2076 if( mbedtls_mpi_cmp_mpi( &A, &W ) >= 0 )
nexpaq 0:6c56fb4bc5f0 2077 {
nexpaq 0:6c56fb4bc5f0 2078 j = mbedtls_mpi_bitlen( &A ) - mbedtls_mpi_bitlen( &W );
nexpaq 0:6c56fb4bc5f0 2079 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &A, j + 1 ) );
nexpaq 0:6c56fb4bc5f0 2080 }
nexpaq 0:6c56fb4bc5f0 2081 A.p[0] |= 3;
nexpaq 0:6c56fb4bc5f0 2082
nexpaq 0:6c56fb4bc5f0 2083 count = 0;
nexpaq 0:6c56fb4bc5f0 2084 do {
nexpaq 0:6c56fb4bc5f0 2085 MBEDTLS_MPI_CHK( mbedtls_mpi_fill_random( &A, X->n * ciL, f_rng, p_rng ) );
nexpaq 0:6c56fb4bc5f0 2086
nexpaq 0:6c56fb4bc5f0 2087 j = mbedtls_mpi_bitlen( &A );
nexpaq 0:6c56fb4bc5f0 2088 k = mbedtls_mpi_bitlen( &W );
nexpaq 0:6c56fb4bc5f0 2089 if (j > k) {
nexpaq 0:6c56fb4bc5f0 2090 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &A, j - k ) );
nexpaq 0:6c56fb4bc5f0 2091 }
nexpaq 0:6c56fb4bc5f0 2092
nexpaq 0:6c56fb4bc5f0 2093 if (count++ > 30) {
nexpaq 0:6c56fb4bc5f0 2094 return MBEDTLS_ERR_MPI_NOT_ACCEPTABLE;
nexpaq 0:6c56fb4bc5f0 2095 }
nexpaq 0:6c56fb4bc5f0 2096
nexpaq 0:6c56fb4bc5f0 2097 } while ( mbedtls_mpi_cmp_mpi( &A, &W ) >= 0 ||
nexpaq 0:6c56fb4bc5f0 2098 mbedtls_mpi_cmp_int( &A, 1 ) <= 0 );
nexpaq 0:6c56fb4bc5f0 2099
nexpaq 0:6c56fb4bc5f0 2100 /*
nexpaq 0:6c56fb4bc5f0 2101 * A = A^R mod |X|
nexpaq 0:6c56fb4bc5f0 2102 */
nexpaq 0:6c56fb4bc5f0 2103 MBEDTLS_MPI_CHK( mbedtls_mpi_exp_mod( &A, &A, &R, X, &RR ) );
nexpaq 0:6c56fb4bc5f0 2104
nexpaq 0:6c56fb4bc5f0 2105 if( mbedtls_mpi_cmp_mpi( &A, &W ) == 0 ||
nexpaq 0:6c56fb4bc5f0 2106 mbedtls_mpi_cmp_int( &A, 1 ) == 0 )
nexpaq 0:6c56fb4bc5f0 2107 continue;
nexpaq 0:6c56fb4bc5f0 2108
nexpaq 0:6c56fb4bc5f0 2109 j = 1;
nexpaq 0:6c56fb4bc5f0 2110 while( j < s && mbedtls_mpi_cmp_mpi( &A, &W ) != 0 )
nexpaq 0:6c56fb4bc5f0 2111 {
nexpaq 0:6c56fb4bc5f0 2112 /*
nexpaq 0:6c56fb4bc5f0 2113 * A = A * A mod |X|
nexpaq 0:6c56fb4bc5f0 2114 */
nexpaq 0:6c56fb4bc5f0 2115 MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &T, &A, &A ) );
nexpaq 0:6c56fb4bc5f0 2116 MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( &A, &T, X ) );
nexpaq 0:6c56fb4bc5f0 2117
nexpaq 0:6c56fb4bc5f0 2118 if( mbedtls_mpi_cmp_int( &A, 1 ) == 0 )
nexpaq 0:6c56fb4bc5f0 2119 break;
nexpaq 0:6c56fb4bc5f0 2120
nexpaq 0:6c56fb4bc5f0 2121 j++;
nexpaq 0:6c56fb4bc5f0 2122 }
nexpaq 0:6c56fb4bc5f0 2123
nexpaq 0:6c56fb4bc5f0 2124 /*
nexpaq 0:6c56fb4bc5f0 2125 * not prime if A != |X| - 1 or A == 1
nexpaq 0:6c56fb4bc5f0 2126 */
nexpaq 0:6c56fb4bc5f0 2127 if( mbedtls_mpi_cmp_mpi( &A, &W ) != 0 ||
nexpaq 0:6c56fb4bc5f0 2128 mbedtls_mpi_cmp_int( &A, 1 ) == 0 )
nexpaq 0:6c56fb4bc5f0 2129 {
nexpaq 0:6c56fb4bc5f0 2130 ret = MBEDTLS_ERR_MPI_NOT_ACCEPTABLE;
nexpaq 0:6c56fb4bc5f0 2131 break;
nexpaq 0:6c56fb4bc5f0 2132 }
nexpaq 0:6c56fb4bc5f0 2133 }
nexpaq 0:6c56fb4bc5f0 2134
nexpaq 0:6c56fb4bc5f0 2135 cleanup:
nexpaq 0:6c56fb4bc5f0 2136 mbedtls_mpi_free( &W ); mbedtls_mpi_free( &R ); mbedtls_mpi_free( &T ); mbedtls_mpi_free( &A );
nexpaq 0:6c56fb4bc5f0 2137 mbedtls_mpi_free( &RR );
nexpaq 0:6c56fb4bc5f0 2138
nexpaq 0:6c56fb4bc5f0 2139 return( ret );
nexpaq 0:6c56fb4bc5f0 2140 }
nexpaq 0:6c56fb4bc5f0 2141
nexpaq 0:6c56fb4bc5f0 2142 /*
nexpaq 0:6c56fb4bc5f0 2143 * Pseudo-primality test: small factors, then Miller-Rabin
nexpaq 0:6c56fb4bc5f0 2144 */
nexpaq 0:6c56fb4bc5f0 2145 int mbedtls_mpi_is_prime( const mbedtls_mpi *X,
nexpaq 0:6c56fb4bc5f0 2146 int (*f_rng)(void *, unsigned char *, size_t),
nexpaq 0:6c56fb4bc5f0 2147 void *p_rng )
nexpaq 0:6c56fb4bc5f0 2148 {
nexpaq 0:6c56fb4bc5f0 2149 int ret;
nexpaq 0:6c56fb4bc5f0 2150 mbedtls_mpi XX;
nexpaq 0:6c56fb4bc5f0 2151
nexpaq 0:6c56fb4bc5f0 2152 XX.s = 1;
nexpaq 0:6c56fb4bc5f0 2153 XX.n = X->n;
nexpaq 0:6c56fb4bc5f0 2154 XX.p = X->p;
nexpaq 0:6c56fb4bc5f0 2155
nexpaq 0:6c56fb4bc5f0 2156 if( mbedtls_mpi_cmp_int( &XX, 0 ) == 0 ||
nexpaq 0:6c56fb4bc5f0 2157 mbedtls_mpi_cmp_int( &XX, 1 ) == 0 )
nexpaq 0:6c56fb4bc5f0 2158 return( MBEDTLS_ERR_MPI_NOT_ACCEPTABLE );
nexpaq 0:6c56fb4bc5f0 2159
nexpaq 0:6c56fb4bc5f0 2160 if( mbedtls_mpi_cmp_int( &XX, 2 ) == 0 )
nexpaq 0:6c56fb4bc5f0 2161 return( 0 );
nexpaq 0:6c56fb4bc5f0 2162
nexpaq 0:6c56fb4bc5f0 2163 if( ( ret = mpi_check_small_factors( &XX ) ) != 0 )
nexpaq 0:6c56fb4bc5f0 2164 {
nexpaq 0:6c56fb4bc5f0 2165 if( ret == 1 )
nexpaq 0:6c56fb4bc5f0 2166 return( 0 );
nexpaq 0:6c56fb4bc5f0 2167
nexpaq 0:6c56fb4bc5f0 2168 return( ret );
nexpaq 0:6c56fb4bc5f0 2169 }
nexpaq 0:6c56fb4bc5f0 2170
nexpaq 0:6c56fb4bc5f0 2171 return( mpi_miller_rabin( &XX, f_rng, p_rng ) );
nexpaq 0:6c56fb4bc5f0 2172 }
nexpaq 0:6c56fb4bc5f0 2173
nexpaq 0:6c56fb4bc5f0 2174 /*
nexpaq 0:6c56fb4bc5f0 2175 * Prime number generation
nexpaq 0:6c56fb4bc5f0 2176 */
nexpaq 0:6c56fb4bc5f0 2177 int mbedtls_mpi_gen_prime( mbedtls_mpi *X, size_t nbits, int dh_flag,
nexpaq 0:6c56fb4bc5f0 2178 int (*f_rng)(void *, unsigned char *, size_t),
nexpaq 0:6c56fb4bc5f0 2179 void *p_rng )
nexpaq 0:6c56fb4bc5f0 2180 {
nexpaq 0:6c56fb4bc5f0 2181 int ret;
nexpaq 0:6c56fb4bc5f0 2182 size_t k, n;
nexpaq 0:6c56fb4bc5f0 2183 mbedtls_mpi_uint r;
nexpaq 0:6c56fb4bc5f0 2184 mbedtls_mpi Y;
nexpaq 0:6c56fb4bc5f0 2185
nexpaq 0:6c56fb4bc5f0 2186 if( nbits < 3 || nbits > MBEDTLS_MPI_MAX_BITS )
nexpaq 0:6c56fb4bc5f0 2187 return( MBEDTLS_ERR_MPI_BAD_INPUT_DATA );
nexpaq 0:6c56fb4bc5f0 2188
nexpaq 0:6c56fb4bc5f0 2189 mbedtls_mpi_init( &Y );
nexpaq 0:6c56fb4bc5f0 2190
nexpaq 0:6c56fb4bc5f0 2191 n = BITS_TO_LIMBS( nbits );
nexpaq 0:6c56fb4bc5f0 2192
nexpaq 0:6c56fb4bc5f0 2193 MBEDTLS_MPI_CHK( mbedtls_mpi_fill_random( X, n * ciL, f_rng, p_rng ) );
nexpaq 0:6c56fb4bc5f0 2194
nexpaq 0:6c56fb4bc5f0 2195 k = mbedtls_mpi_bitlen( X );
nexpaq 0:6c56fb4bc5f0 2196 if( k > nbits ) MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( X, k - nbits + 1 ) );
nexpaq 0:6c56fb4bc5f0 2197
nexpaq 0:6c56fb4bc5f0 2198 mbedtls_mpi_set_bit( X, nbits-1, 1 );
nexpaq 0:6c56fb4bc5f0 2199
nexpaq 0:6c56fb4bc5f0 2200 X->p[0] |= 1;
nexpaq 0:6c56fb4bc5f0 2201
nexpaq 0:6c56fb4bc5f0 2202 if( dh_flag == 0 )
nexpaq 0:6c56fb4bc5f0 2203 {
nexpaq 0:6c56fb4bc5f0 2204 while( ( ret = mbedtls_mpi_is_prime( X, f_rng, p_rng ) ) != 0 )
nexpaq 0:6c56fb4bc5f0 2205 {
nexpaq 0:6c56fb4bc5f0 2206 if( ret != MBEDTLS_ERR_MPI_NOT_ACCEPTABLE )
nexpaq 0:6c56fb4bc5f0 2207 goto cleanup;
nexpaq 0:6c56fb4bc5f0 2208
nexpaq 0:6c56fb4bc5f0 2209 MBEDTLS_MPI_CHK( mbedtls_mpi_add_int( X, X, 2 ) );
nexpaq 0:6c56fb4bc5f0 2210 }
nexpaq 0:6c56fb4bc5f0 2211 }
nexpaq 0:6c56fb4bc5f0 2212 else
nexpaq 0:6c56fb4bc5f0 2213 {
nexpaq 0:6c56fb4bc5f0 2214 /*
nexpaq 0:6c56fb4bc5f0 2215 * An necessary condition for Y and X = 2Y + 1 to be prime
nexpaq 0:6c56fb4bc5f0 2216 * is X = 2 mod 3 (which is equivalent to Y = 2 mod 3).
nexpaq 0:6c56fb4bc5f0 2217 * Make sure it is satisfied, while keeping X = 3 mod 4
nexpaq 0:6c56fb4bc5f0 2218 */
nexpaq 0:6c56fb4bc5f0 2219
nexpaq 0:6c56fb4bc5f0 2220 X->p[0] |= 2;
nexpaq 0:6c56fb4bc5f0 2221
nexpaq 0:6c56fb4bc5f0 2222 MBEDTLS_MPI_CHK( mbedtls_mpi_mod_int( &r, X, 3 ) );
nexpaq 0:6c56fb4bc5f0 2223 if( r == 0 )
nexpaq 0:6c56fb4bc5f0 2224 MBEDTLS_MPI_CHK( mbedtls_mpi_add_int( X, X, 8 ) );
nexpaq 0:6c56fb4bc5f0 2225 else if( r == 1 )
nexpaq 0:6c56fb4bc5f0 2226 MBEDTLS_MPI_CHK( mbedtls_mpi_add_int( X, X, 4 ) );
nexpaq 0:6c56fb4bc5f0 2227
nexpaq 0:6c56fb4bc5f0 2228 /* Set Y = (X-1) / 2, which is X / 2 because X is odd */
nexpaq 0:6c56fb4bc5f0 2229 MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &Y, X ) );
nexpaq 0:6c56fb4bc5f0 2230 MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &Y, 1 ) );
nexpaq 0:6c56fb4bc5f0 2231
nexpaq 0:6c56fb4bc5f0 2232 while( 1 )
nexpaq 0:6c56fb4bc5f0 2233 {
nexpaq 0:6c56fb4bc5f0 2234 /*
nexpaq 0:6c56fb4bc5f0 2235 * First, check small factors for X and Y
nexpaq 0:6c56fb4bc5f0 2236 * before doing Miller-Rabin on any of them
nexpaq 0:6c56fb4bc5f0 2237 */
nexpaq 0:6c56fb4bc5f0 2238 if( ( ret = mpi_check_small_factors( X ) ) == 0 &&
nexpaq 0:6c56fb4bc5f0 2239 ( ret = mpi_check_small_factors( &Y ) ) == 0 &&
nexpaq 0:6c56fb4bc5f0 2240 ( ret = mpi_miller_rabin( X, f_rng, p_rng ) ) == 0 &&
nexpaq 0:6c56fb4bc5f0 2241 ( ret = mpi_miller_rabin( &Y, f_rng, p_rng ) ) == 0 )
nexpaq 0:6c56fb4bc5f0 2242 {
nexpaq 0:6c56fb4bc5f0 2243 break;
nexpaq 0:6c56fb4bc5f0 2244 }
nexpaq 0:6c56fb4bc5f0 2245
nexpaq 0:6c56fb4bc5f0 2246 if( ret != MBEDTLS_ERR_MPI_NOT_ACCEPTABLE )
nexpaq 0:6c56fb4bc5f0 2247 goto cleanup;
nexpaq 0:6c56fb4bc5f0 2248
nexpaq 0:6c56fb4bc5f0 2249 /*
nexpaq 0:6c56fb4bc5f0 2250 * Next candidates. We want to preserve Y = (X-1) / 2 and
nexpaq 0:6c56fb4bc5f0 2251 * Y = 1 mod 2 and Y = 2 mod 3 (eq X = 3 mod 4 and X = 2 mod 3)
nexpaq 0:6c56fb4bc5f0 2252 * so up Y by 6 and X by 12.
nexpaq 0:6c56fb4bc5f0 2253 */
nexpaq 0:6c56fb4bc5f0 2254 MBEDTLS_MPI_CHK( mbedtls_mpi_add_int( X, X, 12 ) );
nexpaq 0:6c56fb4bc5f0 2255 MBEDTLS_MPI_CHK( mbedtls_mpi_add_int( &Y, &Y, 6 ) );
nexpaq 0:6c56fb4bc5f0 2256 }
nexpaq 0:6c56fb4bc5f0 2257 }
nexpaq 0:6c56fb4bc5f0 2258
nexpaq 0:6c56fb4bc5f0 2259 cleanup:
nexpaq 0:6c56fb4bc5f0 2260
nexpaq 0:6c56fb4bc5f0 2261 mbedtls_mpi_free( &Y );
nexpaq 0:6c56fb4bc5f0 2262
nexpaq 0:6c56fb4bc5f0 2263 return( ret );
nexpaq 0:6c56fb4bc5f0 2264 }
nexpaq 0:6c56fb4bc5f0 2265
nexpaq 0:6c56fb4bc5f0 2266 #endif /* MBEDTLS_GENPRIME */
nexpaq 0:6c56fb4bc5f0 2267
nexpaq 0:6c56fb4bc5f0 2268 #if defined(MBEDTLS_SELF_TEST)
nexpaq 0:6c56fb4bc5f0 2269
nexpaq 0:6c56fb4bc5f0 2270 #define GCD_PAIR_COUNT 3
nexpaq 0:6c56fb4bc5f0 2271
nexpaq 0:6c56fb4bc5f0 2272 static const int gcd_pairs[GCD_PAIR_COUNT][3] =
nexpaq 0:6c56fb4bc5f0 2273 {
nexpaq 0:6c56fb4bc5f0 2274 { 693, 609, 21 },
nexpaq 0:6c56fb4bc5f0 2275 { 1764, 868, 28 },
nexpaq 0:6c56fb4bc5f0 2276 { 768454923, 542167814, 1 }
nexpaq 0:6c56fb4bc5f0 2277 };
nexpaq 0:6c56fb4bc5f0 2278
nexpaq 0:6c56fb4bc5f0 2279 /*
nexpaq 0:6c56fb4bc5f0 2280 * Checkup routine
nexpaq 0:6c56fb4bc5f0 2281 */
nexpaq 0:6c56fb4bc5f0 2282 int mbedtls_mpi_self_test( int verbose )
nexpaq 0:6c56fb4bc5f0 2283 {
nexpaq 0:6c56fb4bc5f0 2284 int ret, i;
nexpaq 0:6c56fb4bc5f0 2285 mbedtls_mpi A, E, N, X, Y, U, V;
nexpaq 0:6c56fb4bc5f0 2286
nexpaq 0:6c56fb4bc5f0 2287 mbedtls_mpi_init( &A ); mbedtls_mpi_init( &E ); mbedtls_mpi_init( &N ); mbedtls_mpi_init( &X );
nexpaq 0:6c56fb4bc5f0 2288 mbedtls_mpi_init( &Y ); mbedtls_mpi_init( &U ); mbedtls_mpi_init( &V );
nexpaq 0:6c56fb4bc5f0 2289
nexpaq 0:6c56fb4bc5f0 2290 MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &A, 16,
nexpaq 0:6c56fb4bc5f0 2291 "EFE021C2645FD1DC586E69184AF4A31E" \
nexpaq 0:6c56fb4bc5f0 2292 "D5F53E93B5F123FA41680867BA110131" \
nexpaq 0:6c56fb4bc5f0 2293 "944FE7952E2517337780CB0DB80E61AA" \
nexpaq 0:6c56fb4bc5f0 2294 "E7C8DDC6C5C6AADEB34EB38A2F40D5E6" ) );
nexpaq 0:6c56fb4bc5f0 2295
nexpaq 0:6c56fb4bc5f0 2296 MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &E, 16,
nexpaq 0:6c56fb4bc5f0 2297 "B2E7EFD37075B9F03FF989C7C5051C20" \
nexpaq 0:6c56fb4bc5f0 2298 "34D2A323810251127E7BF8625A4F49A5" \
nexpaq 0:6c56fb4bc5f0 2299 "F3E27F4DA8BD59C47D6DAABA4C8127BD" \
nexpaq 0:6c56fb4bc5f0 2300 "5B5C25763222FEFCCFC38B832366C29E" ) );
nexpaq 0:6c56fb4bc5f0 2301
nexpaq 0:6c56fb4bc5f0 2302 MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &N, 16,
nexpaq 0:6c56fb4bc5f0 2303 "0066A198186C18C10B2F5ED9B522752A" \
nexpaq 0:6c56fb4bc5f0 2304 "9830B69916E535C8F047518A889A43A5" \
nexpaq 0:6c56fb4bc5f0 2305 "94B6BED27A168D31D4A52F88925AA8F5" ) );
nexpaq 0:6c56fb4bc5f0 2306
nexpaq 0:6c56fb4bc5f0 2307 MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &X, &A, &N ) );
nexpaq 0:6c56fb4bc5f0 2308
nexpaq 0:6c56fb4bc5f0 2309 MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &U, 16,
nexpaq 0:6c56fb4bc5f0 2310 "602AB7ECA597A3D6B56FF9829A5E8B85" \
nexpaq 0:6c56fb4bc5f0 2311 "9E857EA95A03512E2BAE7391688D264A" \
nexpaq 0:6c56fb4bc5f0 2312 "A5663B0341DB9CCFD2C4C5F421FEC814" \
nexpaq 0:6c56fb4bc5f0 2313 "8001B72E848A38CAE1C65F78E56ABDEF" \
nexpaq 0:6c56fb4bc5f0 2314 "E12D3C039B8A02D6BE593F0BBBDA56F1" \
nexpaq 0:6c56fb4bc5f0 2315 "ECF677152EF804370C1A305CAF3B5BF1" \
nexpaq 0:6c56fb4bc5f0 2316 "30879B56C61DE584A0F53A2447A51E" ) );
nexpaq 0:6c56fb4bc5f0 2317
nexpaq 0:6c56fb4bc5f0 2318 if( verbose != 0 )
nexpaq 0:6c56fb4bc5f0 2319 mbedtls_printf( " MPI test #1 (mul_mpi): " );
nexpaq 0:6c56fb4bc5f0 2320
nexpaq 0:6c56fb4bc5f0 2321 if( mbedtls_mpi_cmp_mpi( &X, &U ) != 0 )
nexpaq 0:6c56fb4bc5f0 2322 {
nexpaq 0:6c56fb4bc5f0 2323 if( verbose != 0 )
nexpaq 0:6c56fb4bc5f0 2324 mbedtls_printf( "failed\n" );
nexpaq 0:6c56fb4bc5f0 2325
nexpaq 0:6c56fb4bc5f0 2326 ret = 1;
nexpaq 0:6c56fb4bc5f0 2327 goto cleanup;
nexpaq 0:6c56fb4bc5f0 2328 }
nexpaq 0:6c56fb4bc5f0 2329
nexpaq 0:6c56fb4bc5f0 2330 if( verbose != 0 )
nexpaq 0:6c56fb4bc5f0 2331 mbedtls_printf( "passed\n" );
nexpaq 0:6c56fb4bc5f0 2332
nexpaq 0:6c56fb4bc5f0 2333 MBEDTLS_MPI_CHK( mbedtls_mpi_div_mpi( &X, &Y, &A, &N ) );
nexpaq 0:6c56fb4bc5f0 2334
nexpaq 0:6c56fb4bc5f0 2335 MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &U, 16,
nexpaq 0:6c56fb4bc5f0 2336 "256567336059E52CAE22925474705F39A94" ) );
nexpaq 0:6c56fb4bc5f0 2337
nexpaq 0:6c56fb4bc5f0 2338 MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &V, 16,
nexpaq 0:6c56fb4bc5f0 2339 "6613F26162223DF488E9CD48CC132C7A" \
nexpaq 0:6c56fb4bc5f0 2340 "0AC93C701B001B092E4E5B9F73BCD27B" \
nexpaq 0:6c56fb4bc5f0 2341 "9EE50D0657C77F374E903CDFA4C642" ) );
nexpaq 0:6c56fb4bc5f0 2342
nexpaq 0:6c56fb4bc5f0 2343 if( verbose != 0 )
nexpaq 0:6c56fb4bc5f0 2344 mbedtls_printf( " MPI test #2 (div_mpi): " );
nexpaq 0:6c56fb4bc5f0 2345
nexpaq 0:6c56fb4bc5f0 2346 if( mbedtls_mpi_cmp_mpi( &X, &U ) != 0 ||
nexpaq 0:6c56fb4bc5f0 2347 mbedtls_mpi_cmp_mpi( &Y, &V ) != 0 )
nexpaq 0:6c56fb4bc5f0 2348 {
nexpaq 0:6c56fb4bc5f0 2349 if( verbose != 0 )
nexpaq 0:6c56fb4bc5f0 2350 mbedtls_printf( "failed\n" );
nexpaq 0:6c56fb4bc5f0 2351
nexpaq 0:6c56fb4bc5f0 2352 ret = 1;
nexpaq 0:6c56fb4bc5f0 2353 goto cleanup;
nexpaq 0:6c56fb4bc5f0 2354 }
nexpaq 0:6c56fb4bc5f0 2355
nexpaq 0:6c56fb4bc5f0 2356 if( verbose != 0 )
nexpaq 0:6c56fb4bc5f0 2357 mbedtls_printf( "passed\n" );
nexpaq 0:6c56fb4bc5f0 2358
nexpaq 0:6c56fb4bc5f0 2359 MBEDTLS_MPI_CHK( mbedtls_mpi_exp_mod( &X, &A, &E, &N, NULL ) );
nexpaq 0:6c56fb4bc5f0 2360
nexpaq 0:6c56fb4bc5f0 2361 MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &U, 16,
nexpaq 0:6c56fb4bc5f0 2362 "36E139AEA55215609D2816998ED020BB" \
nexpaq 0:6c56fb4bc5f0 2363 "BD96C37890F65171D948E9BC7CBAA4D9" \
nexpaq 0:6c56fb4bc5f0 2364 "325D24D6A3C12710F10A09FA08AB87" ) );
nexpaq 0:6c56fb4bc5f0 2365
nexpaq 0:6c56fb4bc5f0 2366 if( verbose != 0 )
nexpaq 0:6c56fb4bc5f0 2367 mbedtls_printf( " MPI test #3 (exp_mod): " );
nexpaq 0:6c56fb4bc5f0 2368
nexpaq 0:6c56fb4bc5f0 2369 if( mbedtls_mpi_cmp_mpi( &X, &U ) != 0 )
nexpaq 0:6c56fb4bc5f0 2370 {
nexpaq 0:6c56fb4bc5f0 2371 if( verbose != 0 )
nexpaq 0:6c56fb4bc5f0 2372 mbedtls_printf( "failed\n" );
nexpaq 0:6c56fb4bc5f0 2373
nexpaq 0:6c56fb4bc5f0 2374 ret = 1;
nexpaq 0:6c56fb4bc5f0 2375 goto cleanup;
nexpaq 0:6c56fb4bc5f0 2376 }
nexpaq 0:6c56fb4bc5f0 2377
nexpaq 0:6c56fb4bc5f0 2378 if( verbose != 0 )
nexpaq 0:6c56fb4bc5f0 2379 mbedtls_printf( "passed\n" );
nexpaq 0:6c56fb4bc5f0 2380
nexpaq 0:6c56fb4bc5f0 2381 MBEDTLS_MPI_CHK( mbedtls_mpi_inv_mod( &X, &A, &N ) );
nexpaq 0:6c56fb4bc5f0 2382
nexpaq 0:6c56fb4bc5f0 2383 MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &U, 16,
nexpaq 0:6c56fb4bc5f0 2384 "003A0AAEDD7E784FC07D8F9EC6E3BFD5" \
nexpaq 0:6c56fb4bc5f0 2385 "C3DBA76456363A10869622EAC2DD84EC" \
nexpaq 0:6c56fb4bc5f0 2386 "C5B8A74DAC4D09E03B5E0BE779F2DF61" ) );
nexpaq 0:6c56fb4bc5f0 2387
nexpaq 0:6c56fb4bc5f0 2388 if( verbose != 0 )
nexpaq 0:6c56fb4bc5f0 2389 mbedtls_printf( " MPI test #4 (inv_mod): " );
nexpaq 0:6c56fb4bc5f0 2390
nexpaq 0:6c56fb4bc5f0 2391 if( mbedtls_mpi_cmp_mpi( &X, &U ) != 0 )
nexpaq 0:6c56fb4bc5f0 2392 {
nexpaq 0:6c56fb4bc5f0 2393 if( verbose != 0 )
nexpaq 0:6c56fb4bc5f0 2394 mbedtls_printf( "failed\n" );
nexpaq 0:6c56fb4bc5f0 2395
nexpaq 0:6c56fb4bc5f0 2396 ret = 1;
nexpaq 0:6c56fb4bc5f0 2397 goto cleanup;
nexpaq 0:6c56fb4bc5f0 2398 }
nexpaq 0:6c56fb4bc5f0 2399
nexpaq 0:6c56fb4bc5f0 2400 if( verbose != 0 )
nexpaq 0:6c56fb4bc5f0 2401 mbedtls_printf( "passed\n" );
nexpaq 0:6c56fb4bc5f0 2402
nexpaq 0:6c56fb4bc5f0 2403 if( verbose != 0 )
nexpaq 0:6c56fb4bc5f0 2404 mbedtls_printf( " MPI test #5 (simple gcd): " );
nexpaq 0:6c56fb4bc5f0 2405
nexpaq 0:6c56fb4bc5f0 2406 for( i = 0; i < GCD_PAIR_COUNT; i++ )
nexpaq 0:6c56fb4bc5f0 2407 {
nexpaq 0:6c56fb4bc5f0 2408 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &X, gcd_pairs[i][0] ) );
nexpaq 0:6c56fb4bc5f0 2409 MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &Y, gcd_pairs[i][1] ) );
nexpaq 0:6c56fb4bc5f0 2410
nexpaq 0:6c56fb4bc5f0 2411 MBEDTLS_MPI_CHK( mbedtls_mpi_gcd( &A, &X, &Y ) );
nexpaq 0:6c56fb4bc5f0 2412
nexpaq 0:6c56fb4bc5f0 2413 if( mbedtls_mpi_cmp_int( &A, gcd_pairs[i][2] ) != 0 )
nexpaq 0:6c56fb4bc5f0 2414 {
nexpaq 0:6c56fb4bc5f0 2415 if( verbose != 0 )
nexpaq 0:6c56fb4bc5f0 2416 mbedtls_printf( "failed at %d\n", i );
nexpaq 0:6c56fb4bc5f0 2417
nexpaq 0:6c56fb4bc5f0 2418 ret = 1;
nexpaq 0:6c56fb4bc5f0 2419 goto cleanup;
nexpaq 0:6c56fb4bc5f0 2420 }
nexpaq 0:6c56fb4bc5f0 2421 }
nexpaq 0:6c56fb4bc5f0 2422
nexpaq 0:6c56fb4bc5f0 2423 if( verbose != 0 )
nexpaq 0:6c56fb4bc5f0 2424 mbedtls_printf( "passed\n" );
nexpaq 0:6c56fb4bc5f0 2425
nexpaq 0:6c56fb4bc5f0 2426 cleanup:
nexpaq 0:6c56fb4bc5f0 2427
nexpaq 0:6c56fb4bc5f0 2428 if( ret != 0 && verbose != 0 )
nexpaq 0:6c56fb4bc5f0 2429 mbedtls_printf( "Unexpected error, return code = %08X\n", ret );
nexpaq 0:6c56fb4bc5f0 2430
nexpaq 0:6c56fb4bc5f0 2431 mbedtls_mpi_free( &A ); mbedtls_mpi_free( &E ); mbedtls_mpi_free( &N ); mbedtls_mpi_free( &X );
nexpaq 0:6c56fb4bc5f0 2432 mbedtls_mpi_free( &Y ); mbedtls_mpi_free( &U ); mbedtls_mpi_free( &V );
nexpaq 0:6c56fb4bc5f0 2433
nexpaq 0:6c56fb4bc5f0 2434 if( verbose != 0 )
nexpaq 0:6c56fb4bc5f0 2435 mbedtls_printf( "\n" );
nexpaq 0:6c56fb4bc5f0 2436
nexpaq 0:6c56fb4bc5f0 2437 return( ret );
nexpaq 0:6c56fb4bc5f0 2438 }
nexpaq 0:6c56fb4bc5f0 2439
nexpaq 0:6c56fb4bc5f0 2440 #endif /* MBEDTLS_SELF_TEST */
nexpaq 0:6c56fb4bc5f0 2441
nexpaq 0:6c56fb4bc5f0 2442 #endif /* MBEDTLS_BIGNUM_C */