1c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org/* crypto/ec/ec_lcl.h */ 2c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org/* 3c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * Originally written by Bodo Moeller for the OpenSSL project. 4c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org */ 5c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org/* ==================================================================== 62c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.org * Copyright (c) 1998-2010 The OpenSSL Project. All rights reserved. 7c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * 8c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * Redistribution and use in source and binary forms, with or without 9c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * modification, are permitted provided that the following conditions 10c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * are met: 11c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * 12c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * 1. Redistributions of source code must retain the above copyright 13c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * notice, this list of conditions and the following disclaimer. 14c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * 15c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * 2. Redistributions in binary form must reproduce the above copyright 16c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * notice, this list of conditions and the following disclaimer in 17c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * the documentation and/or other materials provided with the 18c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * distribution. 19c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * 20c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * 3. All advertising materials mentioning features or use of this 21c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * software must display the following acknowledgment: 22c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * "This product includes software developed by the OpenSSL Project 23c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" 24c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * 25c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to 26c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * endorse or promote products derived from this software without 27c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * prior written permission. For written permission, please contact 28c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * openssl-core@openssl.org. 29c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * 30c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * 5. Products derived from this software may not be called "OpenSSL" 31c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * nor may "OpenSSL" appear in their names without prior written 32c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * permission of the OpenSSL Project. 33c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * 34c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * 6. Redistributions of any form whatsoever must retain the following 35c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * acknowledgment: 36c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * "This product includes software developed by the OpenSSL Project 37c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * for use in the OpenSSL Toolkit (http://www.openssl.org/)" 38c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * 39c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY 40c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 41c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR 42c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR 43c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, 44c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT 45c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; 46c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 47c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, 48c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) 49c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED 50c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * OF THE POSSIBILITY OF SUCH DAMAGE. 51c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * ==================================================================== 52c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * 53c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * This product includes cryptographic software written by Eric Young 54c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * (eay@cryptsoft.com). This product includes software written by Tim 55c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * Hudson (tjh@cryptsoft.com). 56c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * 57c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org */ 58c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org/* ==================================================================== 59c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. 60c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * 61c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * Portions of the attached software ("Contribution") are developed by 62c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project. 63c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * 64c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * The Contribution is licensed pursuant to the OpenSSL open source 65c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * license provided above. 66c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * 67c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * The elliptic curve binary polynomial software is originally written by 68c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories. 69c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * 70c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org */ 71c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 72c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 73c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org#include <stdlib.h> 74c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 75c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org#include <openssl/obj_mac.h> 76c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org#include <openssl/ec.h> 77c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org#include <openssl/bn.h> 78c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 79c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org#if defined(__SUNPRO_C) 80c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org# if __SUNPRO_C >= 0x520 81c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org# pragma error_messages (off,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE) 82c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org# endif 83c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org#endif 84c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 852c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.org/* Use default functions for poin2oct, oct2point and compressed coordinates */ 862c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.org#define EC_FLAGS_DEFAULT_OCT 0x1 872c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.org 88c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org/* Structure details are not part of the exported interface, 89c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * so all this may change in future versions. */ 90c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 91c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgstruct ec_method_st { 922c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.org /* Various method flags */ 932c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.org int flags; 94c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org /* used by EC_METHOD_get_field_type: */ 95c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int field_type; /* a NID */ 96c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 97c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org /* used by EC_GROUP_new, EC_GROUP_free, EC_GROUP_clear_free, EC_GROUP_copy: */ 98c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int (*group_init)(EC_GROUP *); 99c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org void (*group_finish)(EC_GROUP *); 100c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org void (*group_clear_finish)(EC_GROUP *); 101c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int (*group_copy)(EC_GROUP *, const EC_GROUP *); 102c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 103c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org /* used by EC_GROUP_set_curve_GFp, EC_GROUP_get_curve_GFp, */ 104c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org /* EC_GROUP_set_curve_GF2m, and EC_GROUP_get_curve_GF2m: */ 105c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int (*group_set_curve)(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 106c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int (*group_get_curve)(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *); 107c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 108c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org /* used by EC_GROUP_get_degree: */ 109c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int (*group_get_degree)(const EC_GROUP *); 110c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 111c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org /* used by EC_GROUP_check: */ 112c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int (*group_check_discriminant)(const EC_GROUP *, BN_CTX *); 113c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 114c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org /* used by EC_POINT_new, EC_POINT_free, EC_POINT_clear_free, EC_POINT_copy: */ 115c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int (*point_init)(EC_POINT *); 116c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org void (*point_finish)(EC_POINT *); 117c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org void (*point_clear_finish)(EC_POINT *); 118c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int (*point_copy)(EC_POINT *, const EC_POINT *); 119c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 120c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org /* used by EC_POINT_set_to_infinity, 121c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * EC_POINT_set_Jprojective_coordinates_GFp, 122c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * EC_POINT_get_Jprojective_coordinates_GFp, 123c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * EC_POINT_set_affine_coordinates_GFp, ..._GF2m, 124c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * EC_POINT_get_affine_coordinates_GFp, ..._GF2m, 125c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * EC_POINT_set_compressed_coordinates_GFp, ..._GF2m: 126c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org */ 127c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int (*point_set_to_infinity)(const EC_GROUP *, EC_POINT *); 128c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int (*point_set_Jprojective_coordinates_GFp)(const EC_GROUP *, EC_POINT *, 129c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *); 130c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int (*point_get_Jprojective_coordinates_GFp)(const EC_GROUP *, const EC_POINT *, 131c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *); 132c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int (*point_set_affine_coordinates)(const EC_GROUP *, EC_POINT *, 133c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org const BIGNUM *x, const BIGNUM *y, BN_CTX *); 134c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int (*point_get_affine_coordinates)(const EC_GROUP *, const EC_POINT *, 135c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org BIGNUM *x, BIGNUM *y, BN_CTX *); 136c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int (*point_set_compressed_coordinates)(const EC_GROUP *, EC_POINT *, 137c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org const BIGNUM *x, int y_bit, BN_CTX *); 138c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 139c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org /* used by EC_POINT_point2oct, EC_POINT_oct2point: */ 140c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org size_t (*point2oct)(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form, 141c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org unsigned char *buf, size_t len, BN_CTX *); 142c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int (*oct2point)(const EC_GROUP *, EC_POINT *, 143c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org const unsigned char *buf, size_t len, BN_CTX *); 144c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 145c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org /* used by EC_POINT_add, EC_POINT_dbl, ECP_POINT_invert: */ 146c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int (*add)(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *); 147c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int (*dbl)(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *); 148c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int (*invert)(const EC_GROUP *, EC_POINT *, BN_CTX *); 149c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 150c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org /* used by EC_POINT_is_at_infinity, EC_POINT_is_on_curve, EC_POINT_cmp: */ 151c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int (*is_at_infinity)(const EC_GROUP *, const EC_POINT *); 152c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int (*is_on_curve)(const EC_GROUP *, const EC_POINT *, BN_CTX *); 153c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int (*point_cmp)(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *); 154c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 155c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org /* used by EC_POINT_make_affine, EC_POINTs_make_affine: */ 156c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int (*make_affine)(const EC_GROUP *, EC_POINT *, BN_CTX *); 157c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int (*points_make_affine)(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *); 158c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 159c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org /* used by EC_POINTs_mul, EC_POINT_mul, EC_POINT_precompute_mult, EC_POINT_have_precompute_mult 160c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * (default implementations are used if the 'mul' pointer is 0): */ 161c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int (*mul)(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, 162c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *); 163c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int (*precompute_mult)(EC_GROUP *group, BN_CTX *); 164c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int (*have_precompute_mult)(const EC_GROUP *group); 165c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 166c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 167c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org /* internal functions */ 168c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 169c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org /* 'field_mul', 'field_sqr', and 'field_div' can be used by 'add' and 'dbl' so that 170c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * the same implementations of point operations can be used with different 171c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * optimized implementations of expensive field operations: */ 172c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int (*field_mul)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 173c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int (*field_sqr)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); 174c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int (*field_div)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 175c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 176c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int (*field_encode)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); /* e.g. to Montgomery */ 177c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int (*field_decode)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); /* e.g. from Montgomery */ 178c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int (*field_set_to_one)(const EC_GROUP *, BIGNUM *r, BN_CTX *); 179c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org} /* EC_METHOD */; 180c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 181c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgtypedef struct ec_extra_data_st { 182c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org struct ec_extra_data_st *next; 183c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org void *data; 184c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org void *(*dup_func)(void *); 185c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org void (*free_func)(void *); 186c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org void (*clear_free_func)(void *); 187c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org} EC_EXTRA_DATA; /* used in EC_GROUP */ 188c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 189c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgstruct ec_group_st { 190c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org const EC_METHOD *meth; 191c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 192c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org EC_POINT *generator; /* optional */ 193c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org BIGNUM order, cofactor; 194c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 195c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int curve_name;/* optional NID for named curve */ 196c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int asn1_flag; /* flag to control the asn1 encoding */ 197c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org point_conversion_form_t asn1_form; 198c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 199c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org unsigned char *seed; /* optional seed for parameters (appears in ASN1) */ 200c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org size_t seed_len; 201c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 202c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org EC_EXTRA_DATA *extra_data; /* linked list */ 203c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 204c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org /* The following members are handled by the method functions, 205c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * even if they appear generic */ 206c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 207c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org BIGNUM field; /* Field specification. 208c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * For curves over GF(p), this is the modulus; 209c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * for curves over GF(2^m), this is the 210c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * irreducible polynomial defining the field. 211c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org */ 212c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 213480da75abf485e7e2a6be5acc0f71842368792c0jnd@chromium.org int poly[6]; /* Field specification for curves over GF(2^m). 214480da75abf485e7e2a6be5acc0f71842368792c0jnd@chromium.org * The irreducible f(t) is then of the form: 215480da75abf485e7e2a6be5acc0f71842368792c0jnd@chromium.org * t^poly[0] + t^poly[1] + ... + t^poly[k] 216480da75abf485e7e2a6be5acc0f71842368792c0jnd@chromium.org * where m = poly[0] > poly[1] > ... > poly[k] = 0. 217480da75abf485e7e2a6be5acc0f71842368792c0jnd@chromium.org * The array is terminated with poly[k+1]=-1. 218480da75abf485e7e2a6be5acc0f71842368792c0jnd@chromium.org * All elliptic curve irreducibles have at most 5 219480da75abf485e7e2a6be5acc0f71842368792c0jnd@chromium.org * non-zero terms. 220480da75abf485e7e2a6be5acc0f71842368792c0jnd@chromium.org */ 221c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 222c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org BIGNUM a, b; /* Curve coefficients. 223c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * (Here the assumption is that BIGNUMs can be used 224c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * or abused for all kinds of fields, not just GF(p).) 225c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * For characteristic > 3, the curve is defined 226c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * by a Weierstrass equation of the form 227c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * y^2 = x^3 + a*x + b. 228c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * For characteristic 2, the curve is defined by 229c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * an equation of the form 230c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * y^2 + x*y = x^3 + a*x^2 + b. 231c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org */ 232c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 233c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int a_is_minus3; /* enable optimized point arithmetics for special case */ 234c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 235c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org void *field_data1; /* method-specific (e.g., Montgomery structure) */ 236c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org void *field_data2; /* method-specific */ 237c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int (*field_mod_func)(BIGNUM *, const BIGNUM *, const BIGNUM *, BN_CTX *); /* method-specific */ 238c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org} /* EC_GROUP */; 239c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 240c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgstruct ec_key_st { 241c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int version; 242c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 243c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org EC_GROUP *group; 244c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 245c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org EC_POINT *pub_key; 246c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org BIGNUM *priv_key; 247c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 248c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org unsigned int enc_flag; 249c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org point_conversion_form_t conv_form; 250c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 251c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int references; 2522c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.org int flags; 253c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 254c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org EC_EXTRA_DATA *method_data; 255c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org} /* EC_KEY */; 256c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 257c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org/* Basically a 'mixin' for extra data, but available for EC_GROUPs/EC_KEYs only 258c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * (with visibility limited to 'package' level for now). 259c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * We use the function pointers as index for retrieval; this obviates 260c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * global ex_data-style index tables. 261c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org */ 262c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint EC_EX_DATA_set_data(EC_EXTRA_DATA **, void *data, 263c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *)); 264c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgvoid *EC_EX_DATA_get_data(const EC_EXTRA_DATA *, 265c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *)); 266c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgvoid EC_EX_DATA_free_data(EC_EXTRA_DATA **, 267c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *)); 268c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgvoid EC_EX_DATA_clear_free_data(EC_EXTRA_DATA **, 269c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *)); 270c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgvoid EC_EX_DATA_free_all_data(EC_EXTRA_DATA **); 271c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgvoid EC_EX_DATA_clear_free_all_data(EC_EXTRA_DATA **); 272c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 273c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 274c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 275c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgstruct ec_point_st { 276c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org const EC_METHOD *meth; 277c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 278c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org /* All members except 'meth' are handled by the method functions, 279c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * even if they appear generic */ 280c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 281c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org BIGNUM X; 282c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org BIGNUM Y; 283c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org BIGNUM Z; /* Jacobian projective coordinates: 284c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * (X, Y, Z) represents (X/Z^2, Y/Z^3) if Z != 0 */ 285c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org int Z_is_one; /* enable optimized point arithmetics for special case */ 286c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org} /* EC_POINT */; 287c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 288c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 289c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 290c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org/* method functions in ec_mult.c 291c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org * (ec_lib.c uses these as defaults if group->method->mul is 0) */ 292c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, 293c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *); 294c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_wNAF_precompute_mult(EC_GROUP *group, BN_CTX *); 295c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_wNAF_have_precompute_mult(const EC_GROUP *group); 296c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 297c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 298c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org/* method functions in ecp_smpl.c */ 299c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GFp_simple_group_init(EC_GROUP *); 300c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgvoid ec_GFp_simple_group_finish(EC_GROUP *); 301c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgvoid ec_GFp_simple_group_clear_finish(EC_GROUP *); 302c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GFp_simple_group_copy(EC_GROUP *, const EC_GROUP *); 303c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GFp_simple_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 304c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GFp_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *); 305c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GFp_simple_group_get_degree(const EC_GROUP *); 306c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GFp_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *); 307c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GFp_simple_point_init(EC_POINT *); 308c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgvoid ec_GFp_simple_point_finish(EC_POINT *); 309c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgvoid ec_GFp_simple_point_clear_finish(EC_POINT *); 310c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GFp_simple_point_copy(EC_POINT *, const EC_POINT *); 311c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GFp_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *); 312c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GFp_simple_set_Jprojective_coordinates_GFp(const EC_GROUP *, EC_POINT *, 313c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *); 314c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GFp_simple_get_Jprojective_coordinates_GFp(const EC_GROUP *, const EC_POINT *, 315c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *); 316c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GFp_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *, 317c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org const BIGNUM *x, const BIGNUM *y, BN_CTX *); 318c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GFp_simple_point_get_affine_coordinates(const EC_GROUP *, const EC_POINT *, 319c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org BIGNUM *x, BIGNUM *y, BN_CTX *); 320c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GFp_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *, 321c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org const BIGNUM *x, int y_bit, BN_CTX *); 322c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgsize_t ec_GFp_simple_point2oct(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form, 323c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org unsigned char *buf, size_t len, BN_CTX *); 324c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GFp_simple_oct2point(const EC_GROUP *, EC_POINT *, 325c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org const unsigned char *buf, size_t len, BN_CTX *); 326c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GFp_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *); 327c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GFp_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *); 328c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GFp_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *); 329c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GFp_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *); 330c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GFp_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *); 331c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GFp_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *); 332c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GFp_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *); 333c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GFp_simple_points_make_affine(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *); 334c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GFp_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 335c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GFp_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); 336c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 337c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 338c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org/* method functions in ecp_mont.c */ 339c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GFp_mont_group_init(EC_GROUP *); 340c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GFp_mont_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 341c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgvoid ec_GFp_mont_group_finish(EC_GROUP *); 342c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgvoid ec_GFp_mont_group_clear_finish(EC_GROUP *); 343c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GFp_mont_group_copy(EC_GROUP *, const EC_GROUP *); 344c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GFp_mont_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 345c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GFp_mont_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); 346c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GFp_mont_field_encode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); 347c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GFp_mont_field_decode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); 348c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GFp_mont_field_set_to_one(const EC_GROUP *, BIGNUM *r, BN_CTX *); 349c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 350c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 351c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org/* method functions in ecp_nist.c */ 352c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GFp_nist_group_copy(EC_GROUP *dest, const EC_GROUP *src); 353c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GFp_nist_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 354c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GFp_nist_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 355c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GFp_nist_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); 356c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 357c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 358c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org/* method functions in ec2_smpl.c */ 359c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GF2m_simple_group_init(EC_GROUP *); 360c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgvoid ec_GF2m_simple_group_finish(EC_GROUP *); 361c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgvoid ec_GF2m_simple_group_clear_finish(EC_GROUP *); 362c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GF2m_simple_group_copy(EC_GROUP *, const EC_GROUP *); 363c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GF2m_simple_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 364c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GF2m_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *); 365c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GF2m_simple_group_get_degree(const EC_GROUP *); 366c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GF2m_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *); 367c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GF2m_simple_point_init(EC_POINT *); 368c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgvoid ec_GF2m_simple_point_finish(EC_POINT *); 369c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgvoid ec_GF2m_simple_point_clear_finish(EC_POINT *); 370c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GF2m_simple_point_copy(EC_POINT *, const EC_POINT *); 371c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GF2m_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *); 372c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GF2m_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *, 373c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org const BIGNUM *x, const BIGNUM *y, BN_CTX *); 374c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GF2m_simple_point_get_affine_coordinates(const EC_GROUP *, const EC_POINT *, 375c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org BIGNUM *x, BIGNUM *y, BN_CTX *); 376c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GF2m_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *, 377c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org const BIGNUM *x, int y_bit, BN_CTX *); 378c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgsize_t ec_GF2m_simple_point2oct(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form, 379c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org unsigned char *buf, size_t len, BN_CTX *); 380c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GF2m_simple_oct2point(const EC_GROUP *, EC_POINT *, 381c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org const unsigned char *buf, size_t len, BN_CTX *); 382c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GF2m_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *); 383c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GF2m_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *); 384c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GF2m_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *); 385c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GF2m_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *); 386c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GF2m_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *); 387c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GF2m_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *); 388c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GF2m_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *); 389c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GF2m_simple_points_make_affine(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *); 390c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GF2m_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 391c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GF2m_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); 392c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GF2m_simple_field_div(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 393c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 394c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org 395c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org/* method functions in ec2_mult.c */ 396c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GF2m_simple_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, 397c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.org size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *); 398c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GF2m_precompute_mult(EC_GROUP *group, BN_CTX *ctx); 399c9490d33b98b7affb729b5f1db13cb0a348471aagl@chromium.orgint ec_GF2m_have_precompute_mult(const EC_GROUP *group); 4002c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.org 4012c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.org/* method functions in ec2_mult.c */ 4022c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.orgint ec_GF2m_simple_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, 4032c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.org size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *); 4042c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.orgint ec_GF2m_precompute_mult(EC_GROUP *group, BN_CTX *ctx); 4052c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.orgint ec_GF2m_have_precompute_mult(const EC_GROUP *group); 4062c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.org 4072c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.org#ifndef OPENSSL_EC_NISTP_64_GCC_128 4082c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.org/* method functions in ecp_nistp224.c */ 4092c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.orgint ec_GFp_nistp224_group_init(EC_GROUP *group); 4102c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.orgint ec_GFp_nistp224_group_set_curve(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *n, BN_CTX *); 4112c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.orgint ec_GFp_nistp224_point_get_affine_coordinates(const EC_GROUP *group, const EC_POINT *point, BIGNUM *x, BIGNUM *y, BN_CTX *ctx); 4122c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.orgint 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 *); 4132c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.orgint 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); 4142c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.orgint ec_GFp_nistp224_precompute_mult(EC_GROUP *group, BN_CTX *ctx); 4152c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.orgint ec_GFp_nistp224_have_precompute_mult(const EC_GROUP *group); 4162c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.org 4172c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.org/* method functions in ecp_nistp256.c */ 4182c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.orgint ec_GFp_nistp256_group_init(EC_GROUP *group); 4192c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.orgint ec_GFp_nistp256_group_set_curve(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *n, BN_CTX *); 4202c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.orgint ec_GFp_nistp256_point_get_affine_coordinates(const EC_GROUP *group, const EC_POINT *point, BIGNUM *x, BIGNUM *y, BN_CTX *ctx); 4212c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.orgint 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 *); 4222c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.orgint 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); 4232c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.orgint ec_GFp_nistp256_precompute_mult(EC_GROUP *group, BN_CTX *ctx); 4242c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.orgint ec_GFp_nistp256_have_precompute_mult(const EC_GROUP *group); 4252c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.org 4262c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.org/* method functions in ecp_nistp521.c */ 4272c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.orgint ec_GFp_nistp521_group_init(EC_GROUP *group); 4282c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.orgint ec_GFp_nistp521_group_set_curve(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *n, BN_CTX *); 4292c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.orgint ec_GFp_nistp521_point_get_affine_coordinates(const EC_GROUP *group, const EC_POINT *point, BIGNUM *x, BIGNUM *y, BN_CTX *ctx); 4302c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.orgint 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 *); 4312c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.orgint 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); 4322c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.orgint ec_GFp_nistp521_precompute_mult(EC_GROUP *group, BN_CTX *ctx); 4332c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.orgint ec_GFp_nistp521_have_precompute_mult(const EC_GROUP *group); 4342c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.org 4352c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.org/* utility functions in ecp_nistputil.c */ 4362c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.orgvoid ec_GFp_nistp_points_make_affine_internal(size_t num, void *point_array, 4372c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.org size_t felem_size, void *tmp_felems, 4382c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.org void (*felem_one)(void *out), 4392c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.org int (*felem_is_zero)(const void *in), 4402c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.org void (*felem_assign)(void *out, const void *in), 4412c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.org void (*felem_square)(void *out, const void *in), 4422c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.org void (*felem_mul)(void *out, const void *in1, const void *in2), 4432c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.org void (*felem_inv)(void *out, const void *in), 4442c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.org void (*felem_contract)(void *out, const void *in)); 4452c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.orgvoid ec_GFp_nistp_recode_scalar_bits(unsigned char *sign, unsigned char *digit, unsigned char in); 4462c4508dfe2bc5b6296c01114ed11ddc64b7718c6digit@chromium.org#endif 447