1 /* $OpenBSD: ec_lcl.h,v 1.13 2019/01/19 01:12:48 tb Exp $ */ 2 /* 3 * Originally written by Bodo Moeller for the OpenSSL project. 4 */ 5 /* ==================================================================== 6 * Copyright (c) 1998-2010 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@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@cryptsoft.com). This product includes software written by Tim 55 * Hudson (tjh@cryptsoft.com). 56 * 57 */ 58 /* ==================================================================== 59 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. 60 * 61 * Portions of the attached software ("Contribution") are developed by 62 * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project. 63 * 64 * The Contribution is licensed pursuant to the OpenSSL open source 65 * license provided above. 66 * 67 * The elliptic curve binary polynomial software is originally written by 68 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories. 69 * 70 */ 71 72 #include <stdlib.h> 73 74 #include <openssl/obj_mac.h> 75 #include <openssl/ec.h> 76 #include <openssl/ecdsa.h> 77 #include <openssl/bn.h> 78 79 __BEGIN_HIDDEN_DECLS 80 81 #if defined(__SUNPRO_C) 82 # if __SUNPRO_C >= 0x520 83 # pragma error_messages (off,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE) 84 # endif 85 #endif 86 87 #define bn_wexpand(a,words) (((words) <= (a)->dmax)?(a):bn_expand2((a),(words))) 88 BIGNUM *bn_expand2(BIGNUM *a, int words); 89 90 /* Use default functions for poin2oct, oct2point and compressed coordinates */ 91 #define EC_FLAGS_DEFAULT_OCT 0x1 92 93 /* Structure details are not part of the exported interface, 94 * so all this may change in future versions. */ 95 96 struct ec_method_st { 97 /* Various method flags */ 98 int flags; 99 /* used by EC_METHOD_get_field_type: */ 100 int field_type; /* a NID */ 101 102 /* used by EC_GROUP_new, EC_GROUP_free, EC_GROUP_clear_free, EC_GROUP_copy: */ 103 int (*group_init)(EC_GROUP *); 104 void (*group_finish)(EC_GROUP *); 105 void (*group_clear_finish)(EC_GROUP *); 106 int (*group_copy)(EC_GROUP *, const EC_GROUP *); 107 108 /* used by EC_GROUP_set_curve_GFp, EC_GROUP_get_curve_GFp, */ 109 /* EC_GROUP_set_curve_GF2m, and EC_GROUP_get_curve_GF2m: */ 110 int (*group_set_curve)(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 111 int (*group_get_curve)(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *); 112 113 /* used by EC_GROUP_get_degree: */ 114 int (*group_get_degree)(const EC_GROUP *); 115 116 /* used by EC_GROUP_check: */ 117 int (*group_check_discriminant)(const EC_GROUP *, BN_CTX *); 118 119 /* used by EC_POINT_new, EC_POINT_free, EC_POINT_clear_free, EC_POINT_copy: */ 120 int (*point_init)(EC_POINT *); 121 void (*point_finish)(EC_POINT *); 122 void (*point_clear_finish)(EC_POINT *); 123 int (*point_copy)(EC_POINT *, const EC_POINT *); 124 125 /* used by EC_POINT_set_to_infinity, 126 * EC_POINT_set_Jprojective_coordinates_GFp, 127 * EC_POINT_get_Jprojective_coordinates_GFp, 128 * EC_POINT_set_affine_coordinates_GFp, ..._GF2m, 129 * EC_POINT_get_affine_coordinates_GFp, ..._GF2m, 130 * EC_POINT_set_compressed_coordinates_GFp, ..._GF2m: 131 */ 132 int (*point_set_to_infinity)(const EC_GROUP *, EC_POINT *); 133 int (*point_set_Jprojective_coordinates_GFp)(const EC_GROUP *, EC_POINT *, 134 const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *); 135 int (*point_get_Jprojective_coordinates_GFp)(const EC_GROUP *, const EC_POINT *, 136 BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *); 137 int (*point_set_affine_coordinates)(const EC_GROUP *, EC_POINT *, 138 const BIGNUM *x, const BIGNUM *y, BN_CTX *); 139 int (*point_get_affine_coordinates)(const EC_GROUP *, const EC_POINT *, 140 BIGNUM *x, BIGNUM *y, BN_CTX *); 141 int (*point_set_compressed_coordinates)(const EC_GROUP *, EC_POINT *, 142 const BIGNUM *x, int y_bit, BN_CTX *); 143 144 /* used by EC_POINT_point2oct, EC_POINT_oct2point: */ 145 size_t (*point2oct)(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form, 146 unsigned char *buf, size_t len, BN_CTX *); 147 int (*oct2point)(const EC_GROUP *, EC_POINT *, 148 const unsigned char *buf, size_t len, BN_CTX *); 149 150 /* used by EC_POINT_add, EC_POINT_dbl, ECP_POINT_invert: */ 151 int (*add)(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *); 152 int (*dbl)(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *); 153 int (*invert)(const EC_GROUP *, EC_POINT *, BN_CTX *); 154 155 /* used by EC_POINT_is_at_infinity, EC_POINT_is_on_curve, EC_POINT_cmp: */ 156 int (*is_at_infinity)(const EC_GROUP *, const EC_POINT *); 157 int (*is_on_curve)(const EC_GROUP *, const EC_POINT *, BN_CTX *); 158 int (*point_cmp)(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *); 159 160 /* used by EC_POINT_make_affine, EC_POINTs_make_affine: */ 161 int (*make_affine)(const EC_GROUP *, EC_POINT *, BN_CTX *); 162 int (*points_make_affine)(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *); 163 164 /* used by EC_POINTs_mul, EC_POINT_mul, EC_POINT_precompute_mult, EC_POINT_have_precompute_mult */ 165 int (*mul_generator_ct)(const EC_GROUP *, EC_POINT *r, const BIGNUM *scalar, BN_CTX *); 166 int (*mul_single_ct)(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, 167 const EC_POINT *point, BN_CTX *); 168 int (*mul_double_nonct)(const EC_GROUP *group, EC_POINT *r, const BIGNUM *g_scalar, 169 const BIGNUM *p_scalar, const EC_POINT *point, BN_CTX *); 170 int (*precompute_mult)(EC_GROUP *group, BN_CTX *); 171 int (*have_precompute_mult)(const EC_GROUP *group); 172 173 174 /* internal functions */ 175 176 /* 'field_mul', 'field_sqr', and 'field_div' can be used by 'add' and 'dbl' so that 177 * the same implementations of point operations can be used with different 178 * optimized implementations of expensive field operations: */ 179 int (*field_mul)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 180 int (*field_sqr)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); 181 int (*field_div)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 182 183 int (*field_encode)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); /* e.g. to Montgomery */ 184 int (*field_decode)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); /* e.g. from Montgomery */ 185 int (*field_set_to_one)(const EC_GROUP *, BIGNUM *r, BN_CTX *); 186 int (*blind_coordinates)(const EC_GROUP *group, EC_POINT *p, BN_CTX *ctx); 187 } /* EC_METHOD */; 188 189 typedef struct ec_extra_data_st { 190 struct ec_extra_data_st *next; 191 void *data; 192 void *(*dup_func)(void *); 193 void (*free_func)(void *); 194 void (*clear_free_func)(void *); 195 } EC_EXTRA_DATA; /* used in EC_GROUP */ 196 197 struct ec_group_st { 198 const EC_METHOD *meth; 199 200 EC_POINT *generator; /* optional */ 201 BIGNUM order, cofactor; 202 203 int curve_name;/* optional NID for named curve */ 204 int asn1_flag; /* flag to control the asn1 encoding */ 205 point_conversion_form_t asn1_form; 206 207 unsigned char *seed; /* optional seed for parameters (appears in ASN1) */ 208 size_t seed_len; 209 210 EC_EXTRA_DATA *extra_data; /* linked list */ 211 212 /* The following members are handled by the method functions, 213 * even if they appear generic */ 214 215 BIGNUM field; /* Field specification. 216 * For curves over GF(p), this is the modulus; 217 * for curves over GF(2^m), this is the 218 * irreducible polynomial defining the field. 219 */ 220 221 int poly[6]; /* Field specification for curves over GF(2^m). 222 * The irreducible f(t) is then of the form: 223 * t^poly[0] + t^poly[1] + ... + t^poly[k] 224 * where m = poly[0] > poly[1] > ... > poly[k] = 0. 225 * The array is terminated with poly[k+1]=-1. 226 * All elliptic curve irreducibles have at most 5 227 * non-zero terms. 228 */ 229 230 BIGNUM a, b; /* Curve coefficients. 231 * (Here the assumption is that BIGNUMs can be used 232 * or abused for all kinds of fields, not just GF(p).) 233 * For characteristic > 3, the curve is defined 234 * by a Weierstrass equation of the form 235 * y^2 = x^3 + a*x + b. 236 * For characteristic 2, the curve is defined by 237 * an equation of the form 238 * y^2 + x*y = x^3 + a*x^2 + b. 239 */ 240 241 int a_is_minus3; /* enable optimized point arithmetics for special case */ 242 243 void *field_data1; /* method-specific (e.g., Montgomery structure) */ 244 void *field_data2; /* method-specific */ 245 int (*field_mod_func)(BIGNUM *, const BIGNUM *, const BIGNUM *, BN_CTX *); /* method-specific */ 246 } /* EC_GROUP */; 247 248 struct ec_key_st { 249 const EC_KEY_METHOD *meth; 250 ENGINE *engine; 251 252 int version; 253 254 EC_GROUP *group; 255 256 EC_POINT *pub_key; 257 BIGNUM *priv_key; 258 259 unsigned int enc_flag; 260 point_conversion_form_t conv_form; 261 262 int references; 263 int flags; 264 265 EC_EXTRA_DATA *method_data; 266 CRYPTO_EX_DATA ex_data; 267 } /* EC_KEY */; 268 269 /* Basically a 'mixin' for extra data, but available for EC_GROUPs/EC_KEYs only 270 * (with visibility limited to 'package' level for now). 271 * We use the function pointers as index for retrieval; this obviates 272 * global ex_data-style index tables. 273 */ 274 int EC_EX_DATA_set_data(EC_EXTRA_DATA **, void *data, 275 void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *)); 276 void *EC_EX_DATA_get_data(const EC_EXTRA_DATA *, 277 void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *)); 278 void EC_EX_DATA_free_data(EC_EXTRA_DATA **, 279 void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *)); 280 void EC_EX_DATA_clear_free_data(EC_EXTRA_DATA **, 281 void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *)); 282 void EC_EX_DATA_free_all_data(EC_EXTRA_DATA **); 283 void EC_EX_DATA_clear_free_all_data(EC_EXTRA_DATA **); 284 285 286 287 struct ec_point_st { 288 const EC_METHOD *meth; 289 290 /* All members except 'meth' are handled by the method functions, 291 * even if they appear generic */ 292 293 BIGNUM X; 294 BIGNUM Y; 295 BIGNUM Z; /* Jacobian projective coordinates: 296 * (X, Y, Z) represents (X/Z^2, Y/Z^3) if Z != 0 */ 297 int Z_is_one; /* enable optimized point arithmetics for special case */ 298 } /* EC_POINT */; 299 300 301 302 /* method functions in ec_mult.c 303 * (ec_lib.c uses these as defaults if group->method->mul is 0) */ 304 int ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, 305 size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *); 306 int ec_wNAF_precompute_mult(EC_GROUP *group, BN_CTX *); 307 int ec_wNAF_have_precompute_mult(const EC_GROUP *group); 308 309 310 /* method functions in ecp_smpl.c */ 311 int ec_GFp_simple_group_init(EC_GROUP *); 312 void ec_GFp_simple_group_finish(EC_GROUP *); 313 void ec_GFp_simple_group_clear_finish(EC_GROUP *); 314 int ec_GFp_simple_group_copy(EC_GROUP *, const EC_GROUP *); 315 int ec_GFp_simple_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 316 int ec_GFp_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *); 317 int ec_GFp_simple_group_get_degree(const EC_GROUP *); 318 int ec_GFp_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *); 319 int ec_GFp_simple_point_init(EC_POINT *); 320 void ec_GFp_simple_point_finish(EC_POINT *); 321 void ec_GFp_simple_point_clear_finish(EC_POINT *); 322 int ec_GFp_simple_point_copy(EC_POINT *, const EC_POINT *); 323 int ec_GFp_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *); 324 int ec_GFp_simple_set_Jprojective_coordinates_GFp(const EC_GROUP *, EC_POINT *, 325 const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *); 326 int ec_GFp_simple_get_Jprojective_coordinates_GFp(const EC_GROUP *, const EC_POINT *, 327 BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *); 328 int ec_GFp_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *, 329 const BIGNUM *x, const BIGNUM *y, BN_CTX *); 330 int ec_GFp_simple_point_get_affine_coordinates(const EC_GROUP *, const EC_POINT *, 331 BIGNUM *x, BIGNUM *y, BN_CTX *); 332 int ec_GFp_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *, 333 const BIGNUM *x, int y_bit, BN_CTX *); 334 size_t ec_GFp_simple_point2oct(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form, 335 unsigned char *buf, size_t len, BN_CTX *); 336 int ec_GFp_simple_oct2point(const EC_GROUP *, EC_POINT *, 337 const unsigned char *buf, size_t len, BN_CTX *); 338 int ec_GFp_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *); 339 int ec_GFp_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *); 340 int ec_GFp_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *); 341 int ec_GFp_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *); 342 int ec_GFp_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *); 343 int ec_GFp_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *); 344 int ec_GFp_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *); 345 int ec_GFp_simple_points_make_affine(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *); 346 int ec_GFp_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 347 int ec_GFp_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); 348 int ec_GFp_simple_blind_coordinates(const EC_GROUP *group, EC_POINT *p, BN_CTX *ctx); 349 int ec_GFp_simple_mul_generator_ct(const EC_GROUP *, EC_POINT *r, const BIGNUM *scalar, BN_CTX *); 350 int ec_GFp_simple_mul_single_ct(const EC_GROUP *, EC_POINT *r, const BIGNUM *scalar, 351 const EC_POINT *point, BN_CTX *); 352 int ec_GFp_simple_mul_double_nonct(const EC_GROUP *, EC_POINT *r, const BIGNUM *g_scalar, 353 const BIGNUM *p_scalar, const EC_POINT *point, BN_CTX *); 354 355 356 /* method functions in ecp_mont.c */ 357 int ec_GFp_mont_group_init(EC_GROUP *); 358 int ec_GFp_mont_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 359 void ec_GFp_mont_group_finish(EC_GROUP *); 360 void ec_GFp_mont_group_clear_finish(EC_GROUP *); 361 int ec_GFp_mont_group_copy(EC_GROUP *, const EC_GROUP *); 362 int ec_GFp_mont_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 363 int ec_GFp_mont_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); 364 int ec_GFp_mont_field_encode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); 365 int ec_GFp_mont_field_decode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); 366 int ec_GFp_mont_field_set_to_one(const EC_GROUP *, BIGNUM *r, BN_CTX *); 367 368 int ec_point_blind_coordinates(const EC_GROUP *group, EC_POINT *p, BN_CTX *ctx); 369 370 /* method functions in ecp_nist.c */ 371 int ec_GFp_nist_group_copy(EC_GROUP *dest, const EC_GROUP *src); 372 int ec_GFp_nist_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 373 int ec_GFp_nist_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 374 int ec_GFp_nist_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); 375 376 377 /* method functions in ec2_smpl.c */ 378 int ec_GF2m_simple_group_init(EC_GROUP *); 379 void ec_GF2m_simple_group_finish(EC_GROUP *); 380 void ec_GF2m_simple_group_clear_finish(EC_GROUP *); 381 int ec_GF2m_simple_group_copy(EC_GROUP *, const EC_GROUP *); 382 int ec_GF2m_simple_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 383 int ec_GF2m_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *); 384 int ec_GF2m_simple_group_get_degree(const EC_GROUP *); 385 int ec_GF2m_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *); 386 int ec_GF2m_simple_point_init(EC_POINT *); 387 void ec_GF2m_simple_point_finish(EC_POINT *); 388 void ec_GF2m_simple_point_clear_finish(EC_POINT *); 389 int ec_GF2m_simple_point_copy(EC_POINT *, const EC_POINT *); 390 int ec_GF2m_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *); 391 int ec_GF2m_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *, 392 const BIGNUM *x, const BIGNUM *y, BN_CTX *); 393 int ec_GF2m_simple_point_get_affine_coordinates(const EC_GROUP *, const EC_POINT *, 394 BIGNUM *x, BIGNUM *y, BN_CTX *); 395 int ec_GF2m_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *, 396 const BIGNUM *x, int y_bit, BN_CTX *); 397 size_t ec_GF2m_simple_point2oct(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form, 398 unsigned char *buf, size_t len, BN_CTX *); 399 int ec_GF2m_simple_oct2point(const EC_GROUP *, EC_POINT *, 400 const unsigned char *buf, size_t len, BN_CTX *); 401 int ec_GF2m_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *); 402 int ec_GF2m_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *); 403 int ec_GF2m_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *); 404 int ec_GF2m_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *); 405 int ec_GF2m_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *); 406 int ec_GF2m_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *); 407 int ec_GF2m_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *); 408 int ec_GF2m_simple_points_make_affine(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *); 409 int ec_GF2m_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 410 int ec_GF2m_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); 411 int ec_GF2m_simple_field_div(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 412 413 414 /* method functions in ec2_mult.c */ 415 int ec_GF2m_simple_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, 416 size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *); 417 int ec_GF2m_precompute_mult(EC_GROUP *group, BN_CTX *ctx); 418 int ec_GF2m_have_precompute_mult(const EC_GROUP *group); 419 420 /* method functions in ec2_mult.c */ 421 int ec_GF2m_simple_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, 422 size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *); 423 int ec_GF2m_precompute_mult(EC_GROUP *group, BN_CTX *ctx); 424 int ec_GF2m_have_precompute_mult(const EC_GROUP *group); 425 426 #ifndef OPENSSL_EC_NISTP_64_GCC_128 427 /* method functions in ecp_nistp224.c */ 428 int ec_GFp_nistp224_group_init(EC_GROUP *group); 429 int ec_GFp_nistp224_group_set_curve(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *n, BN_CTX *); 430 int ec_GFp_nistp224_point_get_affine_coordinates(const EC_GROUP *group, const EC_POINT *point, BIGNUM *x, BIGNUM *y, BN_CTX *ctx); 431 int ec_GFp_nistp224_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *); 432 int ec_GFp_nistp224_points_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *ctx); 433 int ec_GFp_nistp224_precompute_mult(EC_GROUP *group, BN_CTX *ctx); 434 int ec_GFp_nistp224_have_precompute_mult(const EC_GROUP *group); 435 436 /* method functions in ecp_nistp256.c */ 437 int ec_GFp_nistp256_group_init(EC_GROUP *group); 438 int ec_GFp_nistp256_group_set_curve(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *n, BN_CTX *); 439 int ec_GFp_nistp256_point_get_affine_coordinates(const EC_GROUP *group, const EC_POINT *point, BIGNUM *x, BIGNUM *y, BN_CTX *ctx); 440 int ec_GFp_nistp256_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *); 441 int ec_GFp_nistp256_points_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *ctx); 442 int ec_GFp_nistp256_precompute_mult(EC_GROUP *group, BN_CTX *ctx); 443 int ec_GFp_nistp256_have_precompute_mult(const EC_GROUP *group); 444 445 #ifdef ECP_NISTZ256_ASM 446 const EC_METHOD *EC_GFp_nistz256_method(void); 447 #endif 448 449 /* EC_METHOD definitions */ 450 451 struct ec_key_method_st { 452 const char *name; 453 int32_t flags; 454 int (*init)(EC_KEY *key); 455 void (*finish)(EC_KEY *key); 456 int (*copy)(EC_KEY *dest, const EC_KEY *src); 457 int (*set_group)(EC_KEY *key, const EC_GROUP *grp); 458 int (*set_private)(EC_KEY *key, const BIGNUM *priv_key); 459 int (*set_public)(EC_KEY *key, const EC_POINT *pub_key); 460 int (*keygen)(EC_KEY *key); 461 int (*compute_key)(void *out, size_t outlen, const EC_POINT *pub_key, EC_KEY *ecdh, 462 void *(*KDF) (const void *in, size_t inlen, void *out, size_t *outlen)); 463 int (*sign)(int type, const unsigned char *dgst, int dlen, unsigned char 464 *sig, unsigned int *siglen, const BIGNUM *kinv, 465 const BIGNUM *r, EC_KEY *eckey); 466 int (*sign_setup)(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp, 467 BIGNUM **rp); 468 ECDSA_SIG *(*sign_sig)(const unsigned char *dgst, int dgst_len, 469 const BIGNUM *in_kinv, const BIGNUM *in_r, 470 EC_KEY *eckey); 471 int (*verify)(int type, const unsigned char *dgst, int dgst_len, 472 const unsigned char *sigbuf, int sig_len, EC_KEY *eckey); 473 int (*verify_sig)(const unsigned char *dgst, int dgst_len, 474 const ECDSA_SIG *sig, EC_KEY *eckey); 475 } /* EC_KEY_METHOD */; 476 477 #define EC_KEY_METHOD_DYNAMIC 1 478 479 int ossl_ec_key_gen(EC_KEY *eckey); 480 int ossl_ecdh_compute_key(void *out, size_t outlen, const EC_POINT *pub_key, EC_KEY *ecdh, 481 void *(*KDF) (const void *in, size_t inlen, void *out, size_t *outlen)); 482 int ossl_ecdsa_verify(int type, const unsigned char *dgst, int dgst_len, 483 const unsigned char *sigbuf, int sig_len, EC_KEY *eckey); 484 int ossl_ecdsa_verify_sig(const unsigned char *dgst, int dgst_len, 485 const ECDSA_SIG *sig, EC_KEY *eckey); 486 487 /* method functions in ecp_nistp521.c */ 488 int ec_GFp_nistp521_group_init(EC_GROUP *group); 489 int ec_GFp_nistp521_group_set_curve(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *n, BN_CTX *); 490 int ec_GFp_nistp521_point_get_affine_coordinates(const EC_GROUP *group, const EC_POINT *point, BIGNUM *x, BIGNUM *y, BN_CTX *ctx); 491 int ec_GFp_nistp521_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *); 492 int ec_GFp_nistp521_points_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *ctx); 493 int ec_GFp_nistp521_precompute_mult(EC_GROUP *group, BN_CTX *ctx); 494 int ec_GFp_nistp521_have_precompute_mult(const EC_GROUP *group); 495 496 /* utility functions in ecp_nistputil.c */ 497 void ec_GFp_nistp_points_make_affine_internal(size_t num, void *point_array, 498 size_t felem_size, void *tmp_felems, 499 void (*felem_one)(void *out), 500 int (*felem_is_zero)(const void *in), 501 void (*felem_assign)(void *out, const void *in), 502 void (*felem_square)(void *out, const void *in), 503 void (*felem_mul)(void *out, const void *in1, const void *in2), 504 void (*felem_inv)(void *out, const void *in), 505 void (*felem_contract)(void *out, const void *in)); 506 void ec_GFp_nistp_recode_scalar_bits(unsigned char *sign, unsigned char *digit, unsigned char in); 507 508 #endif 509 510 __END_HIDDEN_DECLS 511