1656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project/* crypto/ec/ec_lcl.h */ 2656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project/* 3656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * Originally written by Bodo Moeller for the OpenSSL project. 4656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project */ 5656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project/* ==================================================================== 6392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstrom * Copyright (c) 1998-2010 The OpenSSL Project. All rights reserved. 7656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * 8656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * Redistribution and use in source and binary forms, with or without 9656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * modification, are permitted provided that the following conditions 10656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * are met: 11656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * 12656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * 1. Redistributions of source code must retain the above copyright 13656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * notice, this list of conditions and the following disclaimer. 14656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * 15656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * 2. Redistributions in binary form must reproduce the above copyright 16656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * notice, this list of conditions and the following disclaimer in 17656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * the documentation and/or other materials provided with the 18656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * distribution. 19656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * 20656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * 3. All advertising materials mentioning features or use of this 21656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * software must display the following acknowledgment: 22656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * "This product includes software developed by the OpenSSL Project 23656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" 24656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * 25656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to 26656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * endorse or promote products derived from this software without 27656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * prior written permission. For written permission, please contact 28656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * openssl-core@openssl.org. 29656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * 30656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * 5. Products derived from this software may not be called "OpenSSL" 31656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * nor may "OpenSSL" appear in their names without prior written 32656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * permission of the OpenSSL Project. 33656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * 34656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * 6. Redistributions of any form whatsoever must retain the following 35656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * acknowledgment: 36656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * "This product includes software developed by the OpenSSL Project 37656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * for use in the OpenSSL Toolkit (http://www.openssl.org/)" 38656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * 39656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY 40656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 41656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR 42656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR 43656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, 44656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT 45656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; 46656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 47656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, 48656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) 49656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED 50656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * OF THE POSSIBILITY OF SUCH DAMAGE. 51656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * ==================================================================== 52656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * 53656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * This product includes cryptographic software written by Eric Young 54656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * (eay@cryptsoft.com). This product includes software written by Tim 55656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * Hudson (tjh@cryptsoft.com). 56656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * 57656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project */ 58656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project/* ==================================================================== 59656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. 60656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * 61656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * Portions of the attached software ("Contribution") are developed by 62656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project. 63656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * 64656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * The Contribution is licensed pursuant to the OpenSSL open source 65656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * license provided above. 66656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * 67656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * The elliptic curve binary polynomial software is originally written by 68656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories. 69656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * 70656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project */ 71656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 72656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 73656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project#include <stdlib.h> 74656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 75656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project#include <openssl/obj_mac.h> 76656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project#include <openssl/ec.h> 77656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project#include <openssl/bn.h> 78656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 79656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project#if defined(__SUNPRO_C) 80656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project# if __SUNPRO_C >= 0x520 81656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project# pragma error_messages (off,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE) 82656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project# endif 83656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project#endif 84656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 85392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstrom/* Use default functions for poin2oct, oct2point and compressed coordinates */ 86392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstrom#define EC_FLAGS_DEFAULT_OCT 0x1 87392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstrom 88656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project/* Structure details are not part of the exported interface, 89656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * so all this may change in future versions. */ 90656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 91656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectstruct ec_method_st { 92392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstrom /* Various method flags */ 93392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstrom int flags; 94656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project /* used by EC_METHOD_get_field_type: */ 95656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int field_type; /* a NID */ 96656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 97656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project /* used by EC_GROUP_new, EC_GROUP_free, EC_GROUP_clear_free, EC_GROUP_copy: */ 98656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int (*group_init)(EC_GROUP *); 99656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project void (*group_finish)(EC_GROUP *); 100656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project void (*group_clear_finish)(EC_GROUP *); 101656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int (*group_copy)(EC_GROUP *, const EC_GROUP *); 102656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 103656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project /* used by EC_GROUP_set_curve_GFp, EC_GROUP_get_curve_GFp, */ 104656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project /* EC_GROUP_set_curve_GF2m, and EC_GROUP_get_curve_GF2m: */ 105656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int (*group_set_curve)(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 106656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int (*group_get_curve)(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *); 107656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 108656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project /* used by EC_GROUP_get_degree: */ 109656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int (*group_get_degree)(const EC_GROUP *); 110656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 111656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project /* used by EC_GROUP_check: */ 112656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int (*group_check_discriminant)(const EC_GROUP *, BN_CTX *); 113656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 114656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project /* used by EC_POINT_new, EC_POINT_free, EC_POINT_clear_free, EC_POINT_copy: */ 115656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int (*point_init)(EC_POINT *); 116656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project void (*point_finish)(EC_POINT *); 117656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project void (*point_clear_finish)(EC_POINT *); 118656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int (*point_copy)(EC_POINT *, const EC_POINT *); 119656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 120656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project /* used by EC_POINT_set_to_infinity, 121656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * EC_POINT_set_Jprojective_coordinates_GFp, 122656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * EC_POINT_get_Jprojective_coordinates_GFp, 123656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * EC_POINT_set_affine_coordinates_GFp, ..._GF2m, 124656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * EC_POINT_get_affine_coordinates_GFp, ..._GF2m, 125656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * EC_POINT_set_compressed_coordinates_GFp, ..._GF2m: 126656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project */ 127656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int (*point_set_to_infinity)(const EC_GROUP *, EC_POINT *); 128656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int (*point_set_Jprojective_coordinates_GFp)(const EC_GROUP *, EC_POINT *, 129656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *); 130656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int (*point_get_Jprojective_coordinates_GFp)(const EC_GROUP *, const EC_POINT *, 131656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *); 132656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int (*point_set_affine_coordinates)(const EC_GROUP *, EC_POINT *, 133656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project const BIGNUM *x, const BIGNUM *y, BN_CTX *); 134656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int (*point_get_affine_coordinates)(const EC_GROUP *, const EC_POINT *, 135656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project BIGNUM *x, BIGNUM *y, BN_CTX *); 136656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int (*point_set_compressed_coordinates)(const EC_GROUP *, EC_POINT *, 137656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project const BIGNUM *x, int y_bit, BN_CTX *); 138656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 139656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project /* used by EC_POINT_point2oct, EC_POINT_oct2point: */ 140656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project size_t (*point2oct)(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form, 141656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project unsigned char *buf, size_t len, BN_CTX *); 142656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int (*oct2point)(const EC_GROUP *, EC_POINT *, 143656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project const unsigned char *buf, size_t len, BN_CTX *); 144656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 145656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project /* used by EC_POINT_add, EC_POINT_dbl, ECP_POINT_invert: */ 146656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int (*add)(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *); 147656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int (*dbl)(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *); 148656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int (*invert)(const EC_GROUP *, EC_POINT *, BN_CTX *); 149656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 150656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project /* used by EC_POINT_is_at_infinity, EC_POINT_is_on_curve, EC_POINT_cmp: */ 151656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int (*is_at_infinity)(const EC_GROUP *, const EC_POINT *); 152656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int (*is_on_curve)(const EC_GROUP *, const EC_POINT *, BN_CTX *); 153656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int (*point_cmp)(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *); 154656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 155656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project /* used by EC_POINT_make_affine, EC_POINTs_make_affine: */ 156656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int (*make_affine)(const EC_GROUP *, EC_POINT *, BN_CTX *); 157656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int (*points_make_affine)(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *); 158656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 159656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project /* used by EC_POINTs_mul, EC_POINT_mul, EC_POINT_precompute_mult, EC_POINT_have_precompute_mult 160656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * (default implementations are used if the 'mul' pointer is 0): */ 161656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int (*mul)(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, 162656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *); 163656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int (*precompute_mult)(EC_GROUP *group, BN_CTX *); 164656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int (*have_precompute_mult)(const EC_GROUP *group); 165656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 166656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 167656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project /* internal functions */ 168656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 169656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project /* 'field_mul', 'field_sqr', and 'field_div' can be used by 'add' and 'dbl' so that 170656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * the same implementations of point operations can be used with different 171656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * optimized implementations of expensive field operations: */ 172656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int (*field_mul)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 173656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int (*field_sqr)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); 174656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int (*field_div)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 175656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 176656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int (*field_encode)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); /* e.g. to Montgomery */ 177656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int (*field_decode)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); /* e.g. from Montgomery */ 178656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int (*field_set_to_one)(const EC_GROUP *, BIGNUM *r, BN_CTX *); 179656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project} /* EC_METHOD */; 180656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 181656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projecttypedef struct ec_extra_data_st { 182656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project struct ec_extra_data_st *next; 183656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project void *data; 184656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project void *(*dup_func)(void *); 185656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project void (*free_func)(void *); 186656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project void (*clear_free_func)(void *); 187656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project} EC_EXTRA_DATA; /* used in EC_GROUP */ 188656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 189656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectstruct ec_group_st { 190656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project const EC_METHOD *meth; 191656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 192656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project EC_POINT *generator; /* optional */ 193656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project BIGNUM order, cofactor; 194656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 195656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int curve_name;/* optional NID for named curve */ 196656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int asn1_flag; /* flag to control the asn1 encoding */ 197656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project point_conversion_form_t asn1_form; 198656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 199656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project unsigned char *seed; /* optional seed for parameters (appears in ASN1) */ 200656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project size_t seed_len; 201656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 202656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project EC_EXTRA_DATA *extra_data; /* linked list */ 203656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 204656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project /* The following members are handled by the method functions, 205656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * even if they appear generic */ 206656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 207656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project BIGNUM field; /* Field specification. 208656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * For curves over GF(p), this is the modulus; 209656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * for curves over GF(2^m), this is the 210656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * irreducible polynomial defining the field. 211656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project */ 212656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 213221304ee937bc0910948a8be1320cb8cc4eb6d36Brian Carlstrom int poly[6]; /* Field specification for curves over GF(2^m). 214221304ee937bc0910948a8be1320cb8cc4eb6d36Brian Carlstrom * The irreducible f(t) is then of the form: 215221304ee937bc0910948a8be1320cb8cc4eb6d36Brian Carlstrom * t^poly[0] + t^poly[1] + ... + t^poly[k] 216221304ee937bc0910948a8be1320cb8cc4eb6d36Brian Carlstrom * where m = poly[0] > poly[1] > ... > poly[k] = 0. 217221304ee937bc0910948a8be1320cb8cc4eb6d36Brian Carlstrom * The array is terminated with poly[k+1]=-1. 218221304ee937bc0910948a8be1320cb8cc4eb6d36Brian Carlstrom * All elliptic curve irreducibles have at most 5 219221304ee937bc0910948a8be1320cb8cc4eb6d36Brian Carlstrom * non-zero terms. 220221304ee937bc0910948a8be1320cb8cc4eb6d36Brian Carlstrom */ 221656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 222656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project BIGNUM a, b; /* Curve coefficients. 223656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * (Here the assumption is that BIGNUMs can be used 224656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * or abused for all kinds of fields, not just GF(p).) 225656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * For characteristic > 3, the curve is defined 226656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * by a Weierstrass equation of the form 227656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * y^2 = x^3 + a*x + b. 228656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * For characteristic 2, the curve is defined by 229656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * an equation of the form 230656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * y^2 + x*y = x^3 + a*x^2 + b. 231656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project */ 232656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 233656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int a_is_minus3; /* enable optimized point arithmetics for special case */ 234656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 235656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project void *field_data1; /* method-specific (e.g., Montgomery structure) */ 236656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project void *field_data2; /* method-specific */ 237656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int (*field_mod_func)(BIGNUM *, const BIGNUM *, const BIGNUM *, BN_CTX *); /* method-specific */ 238656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project} /* EC_GROUP */; 239656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 240656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectstruct ec_key_st { 241656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int version; 242656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 243656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project EC_GROUP *group; 244656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 245656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project EC_POINT *pub_key; 246656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project BIGNUM *priv_key; 247656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 248656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project unsigned int enc_flag; 249656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project point_conversion_form_t conv_form; 250656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 251656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int references; 252392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstrom int flags; 253656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 254656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project EC_EXTRA_DATA *method_data; 255656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project} /* EC_KEY */; 256656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 257656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project/* Basically a 'mixin' for extra data, but available for EC_GROUPs/EC_KEYs only 258656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * (with visibility limited to 'package' level for now). 259656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * We use the function pointers as index for retrieval; this obviates 260656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * global ex_data-style index tables. 261656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project */ 262656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint EC_EX_DATA_set_data(EC_EXTRA_DATA **, void *data, 263656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *)); 264656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectvoid *EC_EX_DATA_get_data(const EC_EXTRA_DATA *, 265656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *)); 266656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectvoid EC_EX_DATA_free_data(EC_EXTRA_DATA **, 267656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *)); 268656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectvoid EC_EX_DATA_clear_free_data(EC_EXTRA_DATA **, 269656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *)); 270656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectvoid EC_EX_DATA_free_all_data(EC_EXTRA_DATA **); 271656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectvoid EC_EX_DATA_clear_free_all_data(EC_EXTRA_DATA **); 272656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 273656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 274656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 275656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectstruct ec_point_st { 276656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project const EC_METHOD *meth; 277656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 278656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project /* All members except 'meth' are handled by the method functions, 279656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * even if they appear generic */ 280656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 281656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project BIGNUM X; 282656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project BIGNUM Y; 283656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project BIGNUM Z; /* Jacobian projective coordinates: 284656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * (X, Y, Z) represents (X/Z^2, Y/Z^3) if Z != 0 */ 285656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project int Z_is_one; /* enable optimized point arithmetics for special case */ 286656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project} /* EC_POINT */; 287656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 288656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 289656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 290656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project/* method functions in ec_mult.c 291656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project * (ec_lib.c uses these as defaults if group->method->mul is 0) */ 292656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, 293656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *); 294656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_wNAF_precompute_mult(EC_GROUP *group, BN_CTX *); 295656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_wNAF_have_precompute_mult(const EC_GROUP *group); 296656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 297656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 298656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project/* method functions in ecp_smpl.c */ 299656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GFp_simple_group_init(EC_GROUP *); 300656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectvoid ec_GFp_simple_group_finish(EC_GROUP *); 301656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectvoid ec_GFp_simple_group_clear_finish(EC_GROUP *); 302656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GFp_simple_group_copy(EC_GROUP *, const EC_GROUP *); 303656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GFp_simple_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 304656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GFp_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *); 305656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GFp_simple_group_get_degree(const EC_GROUP *); 306656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GFp_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *); 307656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GFp_simple_point_init(EC_POINT *); 308656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectvoid ec_GFp_simple_point_finish(EC_POINT *); 309656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectvoid ec_GFp_simple_point_clear_finish(EC_POINT *); 310656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GFp_simple_point_copy(EC_POINT *, const EC_POINT *); 311656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GFp_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *); 312656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GFp_simple_set_Jprojective_coordinates_GFp(const EC_GROUP *, EC_POINT *, 313656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *); 314656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GFp_simple_get_Jprojective_coordinates_GFp(const EC_GROUP *, const EC_POINT *, 315656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *); 316656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GFp_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *, 317656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project const BIGNUM *x, const BIGNUM *y, BN_CTX *); 318656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GFp_simple_point_get_affine_coordinates(const EC_GROUP *, const EC_POINT *, 319656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project BIGNUM *x, BIGNUM *y, BN_CTX *); 320656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GFp_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *, 321656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project const BIGNUM *x, int y_bit, BN_CTX *); 322656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectsize_t ec_GFp_simple_point2oct(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form, 323656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project unsigned char *buf, size_t len, BN_CTX *); 324656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GFp_simple_oct2point(const EC_GROUP *, EC_POINT *, 325656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project const unsigned char *buf, size_t len, BN_CTX *); 326656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GFp_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *); 327656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GFp_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *); 328656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GFp_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *); 329656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GFp_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *); 330656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GFp_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *); 331656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GFp_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *); 332656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GFp_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *); 333656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GFp_simple_points_make_affine(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *); 334656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GFp_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 335656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GFp_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); 336656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 337656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 338656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project/* method functions in ecp_mont.c */ 339656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GFp_mont_group_init(EC_GROUP *); 340656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GFp_mont_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 341656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectvoid ec_GFp_mont_group_finish(EC_GROUP *); 342656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectvoid ec_GFp_mont_group_clear_finish(EC_GROUP *); 343656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GFp_mont_group_copy(EC_GROUP *, const EC_GROUP *); 344656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GFp_mont_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 345656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GFp_mont_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); 346656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GFp_mont_field_encode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); 347656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GFp_mont_field_decode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); 348656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GFp_mont_field_set_to_one(const EC_GROUP *, BIGNUM *r, BN_CTX *); 349656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 350656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 351656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project/* method functions in ecp_nist.c */ 352656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GFp_nist_group_copy(EC_GROUP *dest, const EC_GROUP *src); 353656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GFp_nist_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 354656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GFp_nist_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 355656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GFp_nist_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); 356656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 357656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 358656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project/* method functions in ec2_smpl.c */ 359656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GF2m_simple_group_init(EC_GROUP *); 360656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectvoid ec_GF2m_simple_group_finish(EC_GROUP *); 361656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectvoid ec_GF2m_simple_group_clear_finish(EC_GROUP *); 362656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GF2m_simple_group_copy(EC_GROUP *, const EC_GROUP *); 363656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GF2m_simple_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 364656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GF2m_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *); 365656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GF2m_simple_group_get_degree(const EC_GROUP *); 366656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GF2m_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *); 367656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GF2m_simple_point_init(EC_POINT *); 368656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectvoid ec_GF2m_simple_point_finish(EC_POINT *); 369656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectvoid ec_GF2m_simple_point_clear_finish(EC_POINT *); 370656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GF2m_simple_point_copy(EC_POINT *, const EC_POINT *); 371656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GF2m_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *); 372656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GF2m_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *, 373656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project const BIGNUM *x, const BIGNUM *y, BN_CTX *); 374656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GF2m_simple_point_get_affine_coordinates(const EC_GROUP *, const EC_POINT *, 375656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project BIGNUM *x, BIGNUM *y, BN_CTX *); 376656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GF2m_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *, 377656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project const BIGNUM *x, int y_bit, BN_CTX *); 378656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectsize_t ec_GF2m_simple_point2oct(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form, 379656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project unsigned char *buf, size_t len, BN_CTX *); 380656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GF2m_simple_oct2point(const EC_GROUP *, EC_POINT *, 381656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project const unsigned char *buf, size_t len, BN_CTX *); 382656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GF2m_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *); 383656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GF2m_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *); 384656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GF2m_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *); 385656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GF2m_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *); 386656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GF2m_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *); 387656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GF2m_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *); 388656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GF2m_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *); 389656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GF2m_simple_points_make_affine(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *); 390656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GF2m_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 391656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GF2m_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); 392656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GF2m_simple_field_div(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 393656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 394656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project 395656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project/* method functions in ec2_mult.c */ 396656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GF2m_simple_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, 397656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Project size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *); 398656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GF2m_precompute_mult(EC_GROUP *group, BN_CTX *ctx); 399656d9c7f52f88b3a3daccafa7655dec086c4756eThe Android Open Source Projectint ec_GF2m_have_precompute_mult(const EC_GROUP *group); 400392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstrom 401392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstrom/* method functions in ec2_mult.c */ 402392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstromint ec_GF2m_simple_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, 403392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstrom size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *); 404392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstromint ec_GF2m_precompute_mult(EC_GROUP *group, BN_CTX *ctx); 405392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstromint ec_GF2m_have_precompute_mult(const EC_GROUP *group); 406392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstrom 407392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstrom#ifndef OPENSSL_EC_NISTP_64_GCC_128 408392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstrom/* method functions in ecp_nistp224.c */ 409392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstromint ec_GFp_nistp224_group_init(EC_GROUP *group); 410392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstromint ec_GFp_nistp224_group_set_curve(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *n, BN_CTX *); 411392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstromint ec_GFp_nistp224_point_get_affine_coordinates(const EC_GROUP *group, const EC_POINT *point, BIGNUM *x, BIGNUM *y, BN_CTX *ctx); 412392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstromint 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 *); 413392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstromint 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); 414392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstromint ec_GFp_nistp224_precompute_mult(EC_GROUP *group, BN_CTX *ctx); 415392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstromint ec_GFp_nistp224_have_precompute_mult(const EC_GROUP *group); 416392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstrom 417392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstrom/* method functions in ecp_nistp256.c */ 418392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstromint ec_GFp_nistp256_group_init(EC_GROUP *group); 419392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstromint ec_GFp_nistp256_group_set_curve(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *n, BN_CTX *); 420392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstromint ec_GFp_nistp256_point_get_affine_coordinates(const EC_GROUP *group, const EC_POINT *point, BIGNUM *x, BIGNUM *y, BN_CTX *ctx); 421392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstromint 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 *); 422392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstromint 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); 423392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstromint ec_GFp_nistp256_precompute_mult(EC_GROUP *group, BN_CTX *ctx); 424392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstromint ec_GFp_nistp256_have_precompute_mult(const EC_GROUP *group); 425392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstrom 426392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstrom/* method functions in ecp_nistp521.c */ 427392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstromint ec_GFp_nistp521_group_init(EC_GROUP *group); 428392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstromint ec_GFp_nistp521_group_set_curve(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *n, BN_CTX *); 429392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstromint ec_GFp_nistp521_point_get_affine_coordinates(const EC_GROUP *group, const EC_POINT *point, BIGNUM *x, BIGNUM *y, BN_CTX *ctx); 430392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstromint 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 *); 431392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstromint 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); 432392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstromint ec_GFp_nistp521_precompute_mult(EC_GROUP *group, BN_CTX *ctx); 433392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstromint ec_GFp_nistp521_have_precompute_mult(const EC_GROUP *group); 434392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstrom 435392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstrom/* utility functions in ecp_nistputil.c */ 436392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstromvoid ec_GFp_nistp_points_make_affine_internal(size_t num, void *point_array, 437392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstrom size_t felem_size, void *tmp_felems, 438392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstrom void (*felem_one)(void *out), 439392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstrom int (*felem_is_zero)(const void *in), 440392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstrom void (*felem_assign)(void *out, const void *in), 441392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstrom void (*felem_square)(void *out, const void *in), 442392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstrom void (*felem_mul)(void *out, const void *in1, const void *in2), 443392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstrom void (*felem_inv)(void *out, const void *in), 444392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstrom void (*felem_contract)(void *out, const void *in)); 445392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstromvoid ec_GFp_nistp_recode_scalar_bits(unsigned char *sign, unsigned char *digit, unsigned char in); 446392aa7cc7d2b122614c5393c3e357da07fd07af3Brian Carlstrom#endif 447