1 /* crypto/ec/ecp_mont.c */ 2 /* 3 * Originally written by Bodo Moeller for the OpenSSL project. 4 */ 5 /* ==================================================================== 6 * Copyright (c) 1998-2001 The OpenSSL Project. All rights reserved. 7 * 8 * Redistribution and use in source and binary forms, with or without 9 * modification, are permitted provided that the following conditions 10 * are met: 11 * 12 * 1. Redistributions of source code must retain the above copyright 13 * notice, this list of conditions and the following disclaimer. 14 * 15 * 2. Redistributions in binary form must reproduce the above copyright 16 * notice, this list of conditions and the following disclaimer in 17 * the documentation and/or other materials provided with the 18 * distribution. 19 * 20 * 3. All advertising materials mentioning features or use of this 21 * software must display the following acknowledgment: 22 * "This product includes software developed by the OpenSSL Project 23 * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" 24 * 25 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to 26 * endorse or promote products derived from this software without 27 * prior written permission. For written permission, please contact 28 * openssl-core (at) openssl.org. 29 * 30 * 5. Products derived from this software may not be called "OpenSSL" 31 * nor may "OpenSSL" appear in their names without prior written 32 * permission of the OpenSSL Project. 33 * 34 * 6. Redistributions of any form whatsoever must retain the following 35 * acknowledgment: 36 * "This product includes software developed by the OpenSSL Project 37 * for use in the OpenSSL Toolkit (http://www.openssl.org/)" 38 * 39 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY 40 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 41 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR 42 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR 43 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, 44 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT 45 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; 46 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 47 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, 48 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) 49 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED 50 * OF THE POSSIBILITY OF SUCH DAMAGE. 51 * ==================================================================== 52 * 53 * This product includes cryptographic software written by Eric Young 54 * (eay (at) cryptsoft.com). This product includes software written by Tim 55 * Hudson (tjh (at) cryptsoft.com). 56 * 57 */ 58 /* ==================================================================== 59 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. 60 * Portions of this software developed by SUN MICROSYSTEMS, INC., 61 * and contributed to the OpenSSL project. 62 */ 63 64 #include <openssl/err.h> 65 66 #include "ec_lcl.h" 67 68 69 const EC_METHOD *EC_GFp_mont_method(void) 70 { 71 static const EC_METHOD ret = { 72 NID_X9_62_prime_field, 73 ec_GFp_mont_group_init, 74 ec_GFp_mont_group_finish, 75 ec_GFp_mont_group_clear_finish, 76 ec_GFp_mont_group_copy, 77 ec_GFp_mont_group_set_curve, 78 ec_GFp_simple_group_get_curve, 79 ec_GFp_simple_group_get_degree, 80 ec_GFp_simple_group_check_discriminant, 81 ec_GFp_simple_point_init, 82 ec_GFp_simple_point_finish, 83 ec_GFp_simple_point_clear_finish, 84 ec_GFp_simple_point_copy, 85 ec_GFp_simple_point_set_to_infinity, 86 ec_GFp_simple_set_Jprojective_coordinates_GFp, 87 ec_GFp_simple_get_Jprojective_coordinates_GFp, 88 ec_GFp_simple_point_set_affine_coordinates, 89 ec_GFp_simple_point_get_affine_coordinates, 90 ec_GFp_simple_set_compressed_coordinates, 91 ec_GFp_simple_point2oct, 92 ec_GFp_simple_oct2point, 93 ec_GFp_simple_add, 94 ec_GFp_simple_dbl, 95 ec_GFp_simple_invert, 96 ec_GFp_simple_is_at_infinity, 97 ec_GFp_simple_is_on_curve, 98 ec_GFp_simple_cmp, 99 ec_GFp_simple_make_affine, 100 ec_GFp_simple_points_make_affine, 101 0 /* mul */, 102 0 /* precompute_mult */, 103 0 /* have_precompute_mult */, 104 ec_GFp_mont_field_mul, 105 ec_GFp_mont_field_sqr, 106 0 /* field_div */, 107 ec_GFp_mont_field_encode, 108 ec_GFp_mont_field_decode, 109 ec_GFp_mont_field_set_to_one }; 110 111 return &ret; 112 } 113 114 115 int ec_GFp_mont_group_init(EC_GROUP *group) 116 { 117 int ok; 118 119 ok = ec_GFp_simple_group_init(group); 120 group->field_data1 = NULL; 121 group->field_data2 = NULL; 122 return ok; 123 } 124 125 126 void ec_GFp_mont_group_finish(EC_GROUP *group) 127 { 128 if (group->field_data1 != NULL) 129 { 130 BN_MONT_CTX_free(group->field_data1); 131 group->field_data1 = NULL; 132 } 133 if (group->field_data2 != NULL) 134 { 135 BN_free(group->field_data2); 136 group->field_data2 = NULL; 137 } 138 ec_GFp_simple_group_finish(group); 139 } 140 141 142 void ec_GFp_mont_group_clear_finish(EC_GROUP *group) 143 { 144 if (group->field_data1 != NULL) 145 { 146 BN_MONT_CTX_free(group->field_data1); 147 group->field_data1 = NULL; 148 } 149 if (group->field_data2 != NULL) 150 { 151 BN_clear_free(group->field_data2); 152 group->field_data2 = NULL; 153 } 154 ec_GFp_simple_group_clear_finish(group); 155 } 156 157 158 int ec_GFp_mont_group_copy(EC_GROUP *dest, const EC_GROUP *src) 159 { 160 if (dest->field_data1 != NULL) 161 { 162 BN_MONT_CTX_free(dest->field_data1); 163 dest->field_data1 = NULL; 164 } 165 if (dest->field_data2 != NULL) 166 { 167 BN_clear_free(dest->field_data2); 168 dest->field_data2 = NULL; 169 } 170 171 if (!ec_GFp_simple_group_copy(dest, src)) return 0; 172 173 if (src->field_data1 != NULL) 174 { 175 dest->field_data1 = BN_MONT_CTX_new(); 176 if (dest->field_data1 == NULL) return 0; 177 if (!BN_MONT_CTX_copy(dest->field_data1, src->field_data1)) goto err; 178 } 179 if (src->field_data2 != NULL) 180 { 181 dest->field_data2 = BN_dup(src->field_data2); 182 if (dest->field_data2 == NULL) goto err; 183 } 184 185 return 1; 186 187 err: 188 if (dest->field_data1 != NULL) 189 { 190 BN_MONT_CTX_free(dest->field_data1); 191 dest->field_data1 = NULL; 192 } 193 return 0; 194 } 195 196 197 int ec_GFp_mont_group_set_curve(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx) 198 { 199 BN_CTX *new_ctx = NULL; 200 BN_MONT_CTX *mont = NULL; 201 BIGNUM *one = NULL; 202 int ret = 0; 203 204 if (group->field_data1 != NULL) 205 { 206 BN_MONT_CTX_free(group->field_data1); 207 group->field_data1 = NULL; 208 } 209 if (group->field_data2 != NULL) 210 { 211 BN_free(group->field_data2); 212 group->field_data2 = NULL; 213 } 214 215 if (ctx == NULL) 216 { 217 ctx = new_ctx = BN_CTX_new(); 218 if (ctx == NULL) 219 return 0; 220 } 221 222 mont = BN_MONT_CTX_new(); 223 if (mont == NULL) goto err; 224 if (!BN_MONT_CTX_set(mont, p, ctx)) 225 { 226 ECerr(EC_F_EC_GFP_MONT_GROUP_SET_CURVE, ERR_R_BN_LIB); 227 goto err; 228 } 229 one = BN_new(); 230 if (one == NULL) goto err; 231 if (!BN_to_montgomery(one, BN_value_one(), mont, ctx)) goto err; 232 233 group->field_data1 = mont; 234 mont = NULL; 235 group->field_data2 = one; 236 one = NULL; 237 238 ret = ec_GFp_simple_group_set_curve(group, p, a, b, ctx); 239 240 if (!ret) 241 { 242 BN_MONT_CTX_free(group->field_data1); 243 group->field_data1 = NULL; 244 BN_free(group->field_data2); 245 group->field_data2 = NULL; 246 } 247 248 err: 249 if (new_ctx != NULL) 250 BN_CTX_free(new_ctx); 251 if (mont != NULL) 252 BN_MONT_CTX_free(mont); 253 return ret; 254 } 255 256 257 int ec_GFp_mont_field_mul(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx) 258 { 259 if (group->field_data1 == NULL) 260 { 261 ECerr(EC_F_EC_GFP_MONT_FIELD_MUL, EC_R_NOT_INITIALIZED); 262 return 0; 263 } 264 265 return BN_mod_mul_montgomery(r, a, b, group->field_data1, ctx); 266 } 267 268 269 int ec_GFp_mont_field_sqr(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, BN_CTX *ctx) 270 { 271 if (group->field_data1 == NULL) 272 { 273 ECerr(EC_F_EC_GFP_MONT_FIELD_SQR, EC_R_NOT_INITIALIZED); 274 return 0; 275 } 276 277 return BN_mod_mul_montgomery(r, a, a, group->field_data1, ctx); 278 } 279 280 281 int ec_GFp_mont_field_encode(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, BN_CTX *ctx) 282 { 283 if (group->field_data1 == NULL) 284 { 285 ECerr(EC_F_EC_GFP_MONT_FIELD_ENCODE, EC_R_NOT_INITIALIZED); 286 return 0; 287 } 288 289 return BN_to_montgomery(r, a, (BN_MONT_CTX *)group->field_data1, ctx); 290 } 291 292 293 int ec_GFp_mont_field_decode(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a, BN_CTX *ctx) 294 { 295 if (group->field_data1 == NULL) 296 { 297 ECerr(EC_F_EC_GFP_MONT_FIELD_DECODE, EC_R_NOT_INITIALIZED); 298 return 0; 299 } 300 301 return BN_from_montgomery(r, a, group->field_data1, ctx); 302 } 303 304 305 int ec_GFp_mont_field_set_to_one(const EC_GROUP *group, BIGNUM *r, BN_CTX *ctx) 306 { 307 if (group->field_data2 == NULL) 308 { 309 ECerr(EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE, EC_R_NOT_INITIALIZED); 310 return 0; 311 } 312 313 if (!BN_copy(r, group->field_data2)) return 0; 314 return 1; 315 } 316