1d9e397b599b13d642138480a28c14db7a136bf0Adam Langley/* Originally written by Bodo Moeller for the OpenSSL project. 2d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * ==================================================================== 3d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * Copyright (c) 1998-2005 The OpenSSL Project. All rights reserved. 4d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * 5d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * Redistribution and use in source and binary forms, with or without 6d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * modification, are permitted provided that the following conditions 7d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * are met: 8d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * 9d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * 1. Redistributions of source code must retain the above copyright 10d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * notice, this list of conditions and the following disclaimer. 11d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * 12d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * 2. Redistributions in binary form must reproduce the above copyright 13d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * notice, this list of conditions and the following disclaimer in 14d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * the documentation and/or other materials provided with the 15d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * distribution. 16d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * 17d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * 3. All advertising materials mentioning features or use of this 18d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * software must display the following acknowledgment: 19d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * "This product includes software developed by the OpenSSL Project 20d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" 21d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * 22d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to 23d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * endorse or promote products derived from this software without 24d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * prior written permission. For written permission, please contact 25d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * openssl-core@openssl.org. 26d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * 27d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * 5. Products derived from this software may not be called "OpenSSL" 28d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * nor may "OpenSSL" appear in their names without prior written 29d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * permission of the OpenSSL Project. 30d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * 31d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * 6. Redistributions of any form whatsoever must retain the following 32d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * acknowledgment: 33d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * "This product includes software developed by the OpenSSL Project 34d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * for use in the OpenSSL Toolkit (http://www.openssl.org/)" 35d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * 36d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY 37d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 38d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR 39d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR 40d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, 41d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT 42d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; 43d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 44d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, 45d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) 46d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED 47d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * OF THE POSSIBILITY OF SUCH DAMAGE. 48d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * ==================================================================== 49d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * 50d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * This product includes cryptographic software written by Eric Young 51d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * (eay@cryptsoft.com). This product includes software written by Tim 52d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * Hudson (tjh@cryptsoft.com). 53d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * 54d9e397b599b13d642138480a28c14db7a136bf0Adam Langley */ 55d9e397b599b13d642138480a28c14db7a136bf0Adam Langley/* ==================================================================== 56d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. 57d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * 58d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * Portions of the attached software ("Contribution") are developed by 59d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project. 60d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * 61d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * The Contribution is licensed pursuant to the OpenSSL open source 62d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * license provided above. 63d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * 64d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * The elliptic curve binary polynomial software is originally written by 65d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems 66d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * Laboratories. */ 67d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 68d9e397b599b13d642138480a28c14db7a136bf0Adam Langley#ifndef OPENSSL_HEADER_EC_INTERNAL_H 69d9e397b599b13d642138480a28c14db7a136bf0Adam Langley#define OPENSSL_HEADER_EC_INTERNAL_H 70d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 71d9e397b599b13d642138480a28c14db7a136bf0Adam Langley#include <openssl/base.h> 72d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 73d9e397b599b13d642138480a28c14db7a136bf0Adam Langley#include <openssl/bn.h> 74d9e397b599b13d642138480a28c14db7a136bf0Adam Langley#include <openssl/ex_data.h> 7553b272a2813a0b11f107d77100ff8805ada8fbd2Adam Langley#include <openssl/thread.h> 76d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 77d9e397b599b13d642138480a28c14db7a136bf0Adam Langley#if defined(__cplusplus) 78d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyextern "C" { 79d9e397b599b13d642138480a28c14db7a136bf0Adam Langley#endif 80d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 81d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 82d9e397b599b13d642138480a28c14db7a136bf0Adam Langley/* Use default functions for poin2oct, oct2point and compressed coordinates */ 83d9e397b599b13d642138480a28c14db7a136bf0Adam Langley#define EC_FLAGS_DEFAULT_OCT 0x1 84d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 85d9e397b599b13d642138480a28c14db7a136bf0Adam Langleystruct ec_method_st { 86d9e397b599b13d642138480a28c14db7a136bf0Adam Langley /* Various method flags */ 87d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int flags; 88d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 89d9e397b599b13d642138480a28c14db7a136bf0Adam Langley /* used by EC_GROUP_new, EC_GROUP_free, EC_GROUP_clear_free, EC_GROUP_copy: */ 90d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int (*group_init)(EC_GROUP *); 91d9e397b599b13d642138480a28c14db7a136bf0Adam Langley void (*group_finish)(EC_GROUP *); 92d9e397b599b13d642138480a28c14db7a136bf0Adam Langley void (*group_clear_finish)(EC_GROUP *); 93d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int (*group_copy)(EC_GROUP *, const EC_GROUP *); 94d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 95d9e397b599b13d642138480a28c14db7a136bf0Adam Langley /* used by EC_GROUP_set_curve_GFp, EC_GROUP_get_curve_GFp, */ 96d9e397b599b13d642138480a28c14db7a136bf0Adam Langley /* EC_GROUP_set_curve_GF2m, and EC_GROUP_get_curve_GF2m: */ 97d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int (*group_set_curve)(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, 98d9e397b599b13d642138480a28c14db7a136bf0Adam Langley const BIGNUM *b, BN_CTX *); 99d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int (*group_get_curve)(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, 100d9e397b599b13d642138480a28c14db7a136bf0Adam Langley BN_CTX *); 101d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 102d9e397b599b13d642138480a28c14db7a136bf0Adam Langley /* used by EC_GROUP_get_degree: */ 103d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int (*group_get_degree)(const EC_GROUP *); 104d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 105d9e397b599b13d642138480a28c14db7a136bf0Adam Langley /* used by EC_GROUP_check: */ 106d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int (*group_check_discriminant)(const EC_GROUP *, BN_CTX *); 107d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 108d9e397b599b13d642138480a28c14db7a136bf0Adam Langley /* used by EC_POINT_new, EC_POINT_free, EC_POINT_clear_free, EC_POINT_copy: */ 109d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int (*point_init)(EC_POINT *); 110d9e397b599b13d642138480a28c14db7a136bf0Adam Langley void (*point_finish)(EC_POINT *); 111d9e397b599b13d642138480a28c14db7a136bf0Adam Langley void (*point_clear_finish)(EC_POINT *); 112d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int (*point_copy)(EC_POINT *, const EC_POINT *); 113d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 114d9e397b599b13d642138480a28c14db7a136bf0Adam Langley /* used by EC_POINT_set_to_infinity, 115d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * EC_POINT_set_Jprojective_coordinates_GFp, 116d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * EC_POINT_get_Jprojective_coordinates_GFp, 117d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * EC_POINT_set_affine_coordinates_GFp, ..._GF2m, 118d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * EC_POINT_get_affine_coordinates_GFp, ..._GF2m, 119d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * EC_POINT_set_compressed_coordinates_GFp, ..._GF2m: 120d9e397b599b13d642138480a28c14db7a136bf0Adam Langley */ 121d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int (*point_set_to_infinity)(const EC_GROUP *, EC_POINT *); 122d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int (*point_set_Jprojective_coordinates_GFp)(const EC_GROUP *, EC_POINT *, 123d9e397b599b13d642138480a28c14db7a136bf0Adam Langley const BIGNUM *x, const BIGNUM *y, 124d9e397b599b13d642138480a28c14db7a136bf0Adam Langley const BIGNUM *z, BN_CTX *); 125d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int (*point_get_Jprojective_coordinates_GFp)(const EC_GROUP *, 126d9e397b599b13d642138480a28c14db7a136bf0Adam Langley const EC_POINT *, BIGNUM *x, 127d9e397b599b13d642138480a28c14db7a136bf0Adam Langley BIGNUM *y, BIGNUM *z, BN_CTX *); 128d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int (*point_set_affine_coordinates)(const EC_GROUP *, EC_POINT *, 129d9e397b599b13d642138480a28c14db7a136bf0Adam Langley const BIGNUM *x, const BIGNUM *y, 130d9e397b599b13d642138480a28c14db7a136bf0Adam Langley BN_CTX *); 131d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int (*point_get_affine_coordinates)(const EC_GROUP *, const EC_POINT *, 132d9e397b599b13d642138480a28c14db7a136bf0Adam Langley BIGNUM *x, BIGNUM *y, BN_CTX *); 133d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int (*point_set_compressed_coordinates)(const EC_GROUP *, EC_POINT *, 134d9e397b599b13d642138480a28c14db7a136bf0Adam Langley const BIGNUM *x, int y_bit, BN_CTX *); 135d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 136d9e397b599b13d642138480a28c14db7a136bf0Adam Langley /* used by EC_POINT_point2oct, EC_POINT_oct2point: */ 137d9e397b599b13d642138480a28c14db7a136bf0Adam Langley size_t (*point2oct)(const EC_GROUP *, const EC_POINT *, 138d9e397b599b13d642138480a28c14db7a136bf0Adam Langley point_conversion_form_t form, unsigned char *buf, 139d9e397b599b13d642138480a28c14db7a136bf0Adam Langley size_t len, BN_CTX *); 140d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int (*oct2point)(const EC_GROUP *, EC_POINT *, const unsigned char *buf, 141d9e397b599b13d642138480a28c14db7a136bf0Adam Langley size_t len, BN_CTX *); 142d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 143d9e397b599b13d642138480a28c14db7a136bf0Adam Langley /* used by EC_POINT_add, EC_POINT_dbl, ECP_POINT_invert: */ 144d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int (*add)(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, 145d9e397b599b13d642138480a28c14db7a136bf0Adam Langley const EC_POINT *b, BN_CTX *); 146d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int (*dbl)(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *); 147d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int (*invert)(const EC_GROUP *, EC_POINT *, BN_CTX *); 148d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 149d9e397b599b13d642138480a28c14db7a136bf0Adam Langley /* used by EC_POINT_is_at_infinity, EC_POINT_is_on_curve, EC_POINT_cmp: */ 150d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int (*is_at_infinity)(const EC_GROUP *, const EC_POINT *); 151d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int (*is_on_curve)(const EC_GROUP *, const EC_POINT *, BN_CTX *); 152d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int (*point_cmp)(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, 153d9e397b599b13d642138480a28c14db7a136bf0Adam Langley BN_CTX *); 154d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 155d9e397b599b13d642138480a28c14db7a136bf0Adam Langley /* used by EC_POINT_make_affine, EC_POINTs_make_affine: */ 156d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int (*make_affine)(const EC_GROUP *, EC_POINT *, BN_CTX *); 157d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int (*points_make_affine)(const EC_GROUP *, size_t num, EC_POINT * [], 158d9e397b599b13d642138480a28c14db7a136bf0Adam Langley BN_CTX *); 159d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 160d9e397b599b13d642138480a28c14db7a136bf0Adam Langley /* used by EC_POINTs_mul, EC_POINT_mul, EC_POINT_precompute_mult, 161d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * EC_POINT_have_precompute_mult 162d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * (default implementations are used if the 'mul' pointer is 0): */ 163d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int (*mul)(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, 164d9e397b599b13d642138480a28c14db7a136bf0Adam Langley size_t num, const EC_POINT *points[], const BIGNUM *scalars[], 165d9e397b599b13d642138480a28c14db7a136bf0Adam Langley BN_CTX *); 166d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int (*precompute_mult)(EC_GROUP *group, BN_CTX *); 167d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int (*have_precompute_mult)(const EC_GROUP *group); 168d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 169d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 170d9e397b599b13d642138480a28c14db7a136bf0Adam Langley /* internal functions */ 171d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 172d9e397b599b13d642138480a28c14db7a136bf0Adam Langley /* 'field_mul', 'field_sqr', and 'field_div' can be used by 'add' and 'dbl' 173d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * so that the same implementations of point operations can be used with 174d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * different optimized implementations of expensive field operations: */ 175d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int (*field_mul)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, 176d9e397b599b13d642138480a28c14db7a136bf0Adam Langley const BIGNUM *b, BN_CTX *); 177d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int (*field_sqr)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); 178d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int (*field_div)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, 179d9e397b599b13d642138480a28c14db7a136bf0Adam Langley const BIGNUM *b, BN_CTX *); 180d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 181d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int (*field_encode)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, 182d9e397b599b13d642138480a28c14db7a136bf0Adam Langley BN_CTX *); /* e.g. to Montgomery */ 183d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int (*field_decode)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, 184d9e397b599b13d642138480a28c14db7a136bf0Adam Langley BN_CTX *); /* e.g. from Montgomery */ 185d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int (*field_set_to_one)(const EC_GROUP *, BIGNUM *r, BN_CTX *); 186d9e397b599b13d642138480a28c14db7a136bf0Adam Langley} /* EC_METHOD */; 187d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 188d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyconst EC_METHOD* EC_GFp_mont_method(void); 189d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 190d9e397b599b13d642138480a28c14db7a136bf0Adam Langleystruct ec_pre_comp_st; 191d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyvoid ec_pre_comp_free(struct ec_pre_comp_st *pre_comp); 192d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyvoid *ec_pre_comp_dup(struct ec_pre_comp_st *pre_comp); 193d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 194d9e397b599b13d642138480a28c14db7a136bf0Adam Langleystruct ec_group_st { 195d9e397b599b13d642138480a28c14db7a136bf0Adam Langley const EC_METHOD *meth; 196d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 197d9e397b599b13d642138480a28c14db7a136bf0Adam Langley EC_POINT *generator; /* optional */ 198d9e397b599b13d642138480a28c14db7a136bf0Adam Langley BIGNUM order, cofactor; 199d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 200d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int curve_name; /* optional NID for named curve */ 201d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 202d9e397b599b13d642138480a28c14db7a136bf0Adam Langley struct ec_pre_comp_st *pre_comp; 203d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 204d9e397b599b13d642138480a28c14db7a136bf0Adam Langley /* The following members are handled by the method functions, 205d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * even if they appear generic */ 206d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 207e9ada863a7b3e81f5d2b1e3bdd2305da902a87f5Adam Langley BIGNUM field; /* For curves over GF(p), this is the modulus. */ 208e9ada863a7b3e81f5d2b1e3bdd2305da902a87f5Adam Langley 209e9ada863a7b3e81f5d2b1e3bdd2305da902a87f5Adam Langley BIGNUM a, b; /* Curve coefficients. */ 210d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 211d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int a_is_minus3; /* enable optimized point arithmetics for special case */ 212d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 213e9ada863a7b3e81f5d2b1e3bdd2305da902a87f5Adam Langley BN_MONT_CTX *mont; /* Montgomery structure. */ 214e9ada863a7b3e81f5d2b1e3bdd2305da902a87f5Adam Langley BIGNUM *one; /* The value one */ 215d9e397b599b13d642138480a28c14db7a136bf0Adam Langley} /* EC_GROUP */; 216d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 217d9e397b599b13d642138480a28c14db7a136bf0Adam Langleystruct ec_point_st { 218d9e397b599b13d642138480a28c14db7a136bf0Adam Langley const EC_METHOD *meth; 219d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 220d9e397b599b13d642138480a28c14db7a136bf0Adam Langley /* All members except 'meth' are handled by the method functions, 221d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * even if they appear generic */ 222d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 223d9e397b599b13d642138480a28c14db7a136bf0Adam Langley BIGNUM X; 224d9e397b599b13d642138480a28c14db7a136bf0Adam Langley BIGNUM Y; 225d9e397b599b13d642138480a28c14db7a136bf0Adam Langley BIGNUM Z; /* Jacobian projective coordinates: 226d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * (X, Y, Z) represents (X/Z^2, Y/Z^3) if Z != 0 */ 227d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int Z_is_one; /* enable optimized point arithmetics for special case */ 228d9e397b599b13d642138480a28c14db7a136bf0Adam Langley} /* EC_POINT */; 229d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 230d9e397b599b13d642138480a28c14db7a136bf0Adam LangleyEC_GROUP *ec_group_new(const EC_METHOD *meth); 231e9ada863a7b3e81f5d2b1e3bdd2305da902a87f5Adam Langleyint ec_group_copy(EC_GROUP *dest, const EC_GROUP *src); 232d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 233d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, 234d9e397b599b13d642138480a28c14db7a136bf0Adam Langley size_t num, const EC_POINT *points[], const BIGNUM *scalars[], 235d9e397b599b13d642138480a28c14db7a136bf0Adam Langley BN_CTX *); 236d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint ec_wNAF_precompute_mult(EC_GROUP *group, BN_CTX *); 237d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint ec_wNAF_have_precompute_mult(const EC_GROUP *group); 238d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 239d9e397b599b13d642138480a28c14db7a136bf0Adam Langley/* method functions in simple.c */ 240d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint ec_GFp_simple_group_init(EC_GROUP *); 241d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyvoid ec_GFp_simple_group_finish(EC_GROUP *); 242d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyvoid ec_GFp_simple_group_clear_finish(EC_GROUP *); 243d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint ec_GFp_simple_group_copy(EC_GROUP *, const EC_GROUP *); 244d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint ec_GFp_simple_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, 245d9e397b599b13d642138480a28c14db7a136bf0Adam Langley const BIGNUM *b, BN_CTX *); 246d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint ec_GFp_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a, 247d9e397b599b13d642138480a28c14db7a136bf0Adam Langley BIGNUM *b, BN_CTX *); 248d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint ec_GFp_simple_group_get_degree(const EC_GROUP *); 249d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint ec_GFp_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *); 250d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint ec_GFp_simple_point_init(EC_POINT *); 251d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyvoid ec_GFp_simple_point_finish(EC_POINT *); 252d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyvoid ec_GFp_simple_point_clear_finish(EC_POINT *); 253d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint ec_GFp_simple_point_copy(EC_POINT *, const EC_POINT *); 254d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint ec_GFp_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *); 255d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint ec_GFp_simple_set_Jprojective_coordinates_GFp(const EC_GROUP *, EC_POINT *, 256d9e397b599b13d642138480a28c14db7a136bf0Adam Langley const BIGNUM *x, 257d9e397b599b13d642138480a28c14db7a136bf0Adam Langley const BIGNUM *y, 258d9e397b599b13d642138480a28c14db7a136bf0Adam Langley const BIGNUM *z, BN_CTX *); 259d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint ec_GFp_simple_get_Jprojective_coordinates_GFp(const EC_GROUP *, 260d9e397b599b13d642138480a28c14db7a136bf0Adam Langley const EC_POINT *, BIGNUM *x, 261d9e397b599b13d642138480a28c14db7a136bf0Adam Langley BIGNUM *y, BIGNUM *z, 262d9e397b599b13d642138480a28c14db7a136bf0Adam Langley BN_CTX *); 263d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint ec_GFp_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *, 264d9e397b599b13d642138480a28c14db7a136bf0Adam Langley const BIGNUM *x, const BIGNUM *y, 265d9e397b599b13d642138480a28c14db7a136bf0Adam Langley BN_CTX *); 266d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint ec_GFp_simple_point_get_affine_coordinates(const EC_GROUP *, 267d9e397b599b13d642138480a28c14db7a136bf0Adam Langley const EC_POINT *, BIGNUM *x, 268d9e397b599b13d642138480a28c14db7a136bf0Adam Langley BIGNUM *y, BN_CTX *); 269d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint ec_GFp_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *, 270d9e397b599b13d642138480a28c14db7a136bf0Adam Langley const BIGNUM *x, int y_bit, 271d9e397b599b13d642138480a28c14db7a136bf0Adam Langley BN_CTX *); 272d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint ec_GFp_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, 273d9e397b599b13d642138480a28c14db7a136bf0Adam Langley const EC_POINT *b, BN_CTX *); 274d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint ec_GFp_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, 275d9e397b599b13d642138480a28c14db7a136bf0Adam Langley BN_CTX *); 276d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint ec_GFp_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *); 277d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint ec_GFp_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *); 278d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint ec_GFp_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *); 279d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint ec_GFp_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, 280d9e397b599b13d642138480a28c14db7a136bf0Adam Langley BN_CTX *); 281d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint ec_GFp_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *); 282d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint ec_GFp_simple_points_make_affine(const EC_GROUP *, size_t num, 283d9e397b599b13d642138480a28c14db7a136bf0Adam Langley EC_POINT * [], BN_CTX *); 284d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint ec_GFp_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, 285d9e397b599b13d642138480a28c14db7a136bf0Adam Langley const BIGNUM *b, BN_CTX *); 286d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint ec_GFp_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, 287d9e397b599b13d642138480a28c14db7a136bf0Adam Langley BN_CTX *); 288d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 289d9e397b599b13d642138480a28c14db7a136bf0Adam Langley/* method functions in montgomery.c */ 290d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint ec_GFp_mont_group_init(EC_GROUP *); 291d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint ec_GFp_mont_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, 292d9e397b599b13d642138480a28c14db7a136bf0Adam Langley const BIGNUM *b, BN_CTX *); 293d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyvoid ec_GFp_mont_group_finish(EC_GROUP *); 294d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyvoid ec_GFp_mont_group_clear_finish(EC_GROUP *); 295d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint ec_GFp_mont_group_copy(EC_GROUP *, const EC_GROUP *); 296d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint ec_GFp_mont_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, 297d9e397b599b13d642138480a28c14db7a136bf0Adam Langley const BIGNUM *b, BN_CTX *); 298d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint ec_GFp_mont_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, 299d9e397b599b13d642138480a28c14db7a136bf0Adam Langley BN_CTX *); 300d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint ec_GFp_mont_field_encode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, 301d9e397b599b13d642138480a28c14db7a136bf0Adam Langley BN_CTX *); 302d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint ec_GFp_mont_field_decode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, 303d9e397b599b13d642138480a28c14db7a136bf0Adam Langley BN_CTX *); 304d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint ec_GFp_mont_field_set_to_one(const EC_GROUP *, BIGNUM *r, BN_CTX *); 305d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 306d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyint ec_point_set_Jprojective_coordinates_GFp(const EC_GROUP *group, 307d9e397b599b13d642138480a28c14db7a136bf0Adam Langley EC_POINT *point, const BIGNUM *x, 308d9e397b599b13d642138480a28c14db7a136bf0Adam Langley const BIGNUM *y, const BIGNUM *z, 309d9e397b599b13d642138480a28c14db7a136bf0Adam Langley BN_CTX *ctx); 310d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 311e9ada863a7b3e81f5d2b1e3bdd2305da902a87f5Adam Langleyvoid ec_GFp_nistp_points_make_affine_internal( 312e9ada863a7b3e81f5d2b1e3bdd2305da902a87f5Adam Langley size_t num, void *point_array, size_t felem_size, void *tmp_felems, 313e9ada863a7b3e81f5d2b1e3bdd2305da902a87f5Adam Langley void (*felem_one)(void *out), int (*felem_is_zero)(const void *in), 314e9ada863a7b3e81f5d2b1e3bdd2305da902a87f5Adam Langley void (*felem_assign)(void *out, const void *in), 315e9ada863a7b3e81f5d2b1e3bdd2305da902a87f5Adam Langley void (*felem_square)(void *out, const void *in), 316e9ada863a7b3e81f5d2b1e3bdd2305da902a87f5Adam Langley void (*felem_mul)(void *out, const void *in1, const void *in2), 317e9ada863a7b3e81f5d2b1e3bdd2305da902a87f5Adam Langley void (*felem_inv)(void *out, const void *in), 318e9ada863a7b3e81f5d2b1e3bdd2305da902a87f5Adam Langley void (*felem_contract)(void *out, const void *in)); 319e9ada863a7b3e81f5d2b1e3bdd2305da902a87f5Adam Langley 320e9ada863a7b3e81f5d2b1e3bdd2305da902a87f5Adam Langleyvoid ec_GFp_nistp_recode_scalar_bits(uint8_t *sign, uint8_t *digit, uint8_t in); 321e9ada863a7b3e81f5d2b1e3bdd2305da902a87f5Adam Langley 322e9ada863a7b3e81f5d2b1e3bdd2305da902a87f5Adam Langleyconst EC_METHOD *EC_GFp_nistp256_method(void); 323e9ada863a7b3e81f5d2b1e3bdd2305da902a87f5Adam Langley 324d9e397b599b13d642138480a28c14db7a136bf0Adam Langleystruct ec_key_st { 325d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int version; 326d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 327d9e397b599b13d642138480a28c14db7a136bf0Adam Langley EC_GROUP *group; 328d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 329d9e397b599b13d642138480a28c14db7a136bf0Adam Langley EC_POINT *pub_key; 330d9e397b599b13d642138480a28c14db7a136bf0Adam Langley BIGNUM *priv_key; 331d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 332d9e397b599b13d642138480a28c14db7a136bf0Adam Langley unsigned int enc_flag; 333d9e397b599b13d642138480a28c14db7a136bf0Adam Langley point_conversion_form_t conv_form; 334d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 33553b272a2813a0b11f107d77100ff8805ada8fbd2Adam Langley CRYPTO_refcount_t references; 336d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int flags; 337d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 338d9e397b599b13d642138480a28c14db7a136bf0Adam Langley ECDSA_METHOD *ecdsa_meth; 339d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 340d9e397b599b13d642138480a28c14db7a136bf0Adam Langley CRYPTO_EX_DATA ex_data; 341d9e397b599b13d642138480a28c14db7a136bf0Adam Langley} /* EC_KEY */; 342d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 343d9e397b599b13d642138480a28c14db7a136bf0Adam Langley/* curve_data contains data about a built-in elliptic curve. */ 344d9e397b599b13d642138480a28c14db7a136bf0Adam Langleystruct curve_data { 345d9e397b599b13d642138480a28c14db7a136bf0Adam Langley /* comment is a human-readable string describing the curve. */ 346d9e397b599b13d642138480a28c14db7a136bf0Adam Langley const char *comment; 347d9e397b599b13d642138480a28c14db7a136bf0Adam Langley /* param_len is the number of bytes needed to store a field element. */ 348d9e397b599b13d642138480a28c14db7a136bf0Adam Langley uint8_t param_len; 349d9e397b599b13d642138480a28c14db7a136bf0Adam Langley /* cofactor is the cofactor of the group (i.e. the number of elements in the 350d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * group divided by the size of the main subgroup. */ 351d9e397b599b13d642138480a28c14db7a136bf0Adam Langley uint8_t cofactor; /* promoted to BN_ULONG */ 352d9e397b599b13d642138480a28c14db7a136bf0Adam Langley /* data points to an array of 6*|param_len| bytes which hold the field 353d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * elements of the following (in big-endian order): prime, a, b, generator x, 354d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * generator y, order. */ 355d9e397b599b13d642138480a28c14db7a136bf0Adam Langley const uint8_t data[]; 356d9e397b599b13d642138480a28c14db7a136bf0Adam Langley}; 357d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 358d9e397b599b13d642138480a28c14db7a136bf0Adam Langleystruct built_in_curve { 359d9e397b599b13d642138480a28c14db7a136bf0Adam Langley int nid; 360d9e397b599b13d642138480a28c14db7a136bf0Adam Langley const struct curve_data *data; 361d9e397b599b13d642138480a28c14db7a136bf0Adam Langley const EC_METHOD *(*method)(void); 362d9e397b599b13d642138480a28c14db7a136bf0Adam Langley}; 363d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 364d9e397b599b13d642138480a28c14db7a136bf0Adam Langley/* OPENSSL_built_in_curves is terminated with an entry where |nid| is 365d9e397b599b13d642138480a28c14db7a136bf0Adam Langley * |NID_undef|. */ 366d9e397b599b13d642138480a28c14db7a136bf0Adam Langleyextern const struct built_in_curve OPENSSL_built_in_curves[]; 367d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 368d9e397b599b13d642138480a28c14db7a136bf0Adam Langley#if defined(__cplusplus) 369d9e397b599b13d642138480a28c14db7a136bf0Adam Langley} /* extern C */ 370d9e397b599b13d642138480a28c14db7a136bf0Adam Langley#endif 371d9e397b599b13d642138480a28c14db7a136bf0Adam Langley 372d9e397b599b13d642138480a28c14db7a136bf0Adam Langley#endif /* OPENSSL_HEADER_EC_INTERNAL_H */ 373