/* TODO */ /* crypto/ec/ec_lcl.h */ /* ==================================================================== * Copyright (c) 1998-2001 The OpenSSL Project. All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * * 1. Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * * 2. Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in * the documentation and/or other materials provided with the * distribution. * * 3. All advertising materials mentioning features or use of this * software must display the following acknowledgment: * "This product includes software developed by the OpenSSL Project * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" * * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to * endorse or promote products derived from this software without * prior written permission. For written permission, please contact * openssl-core@openssl.org. * * 5. Products derived from this software may not be called "OpenSSL" * nor may "OpenSSL" appear in their names without prior written * permission of the OpenSSL Project. * * 6. Redistributions of any form whatsoever must retain the following * acknowledgment: * "This product includes software developed by the OpenSSL Project * for use in the OpenSSL Toolkit (http://www.openssl.org/)" * * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED * OF THE POSSIBILITY OF SUCH DAMAGE. * ==================================================================== * * This product includes cryptographic software written by Eric Young * (eay@cryptsoft.com). This product includes software written by Tim * Hudson (tjh@cryptsoft.com). * */ #include #include /* Structure details are not part of the exported interface, * so all this may change in future versions. */ struct ec_method_st { /* used by EC_GROUP_new, EC_GROUP_set_GFp, EC_GROUP_free, EC_GROUP_copy: */ int (*group_init)(EC_GROUP *); /* int (*group_set)(EC_GROUP *, .....); */ int (*group_set_GFp)(EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *); void (*group_finish)(EC_GROUP *); int (*group_copy)(EC_GROUP *, const EC_GROUP *); /* used by EC_GROUP_set_generator: */ int (*group_set_generator)(EC_GROUP *, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor); /* TODO: 'set' functions for EC_GROUPs */ /* used by EC_POINT_new, EC_POINT_free, EC_POINT_copy: */ int (*point_init)(EC_POINT *); void (*point_finish)(EC_POINT *); int (*point_copy)(EC_POINT *, const EC_POINT *); /* TODO: 'set' and 'get' functions for EC_POINTs */ /* used by EC_POINT_point2oct, EC_POINT_oct2point: */ size_t (*point2oct)(const EC_GROUP *, EC_POINT *, point_conversion_form_t form, unsigned char *buf, size_t len, BN_CTX *); int (*oct2point)(const EC_GROUP *, EC_POINT *, const unsigned char *buf, size_t len, BN_CTX *); /* used by EC_POINT_add, EC_POINT_dbl: */ int (*add)(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *); int (*dbl)(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *); /* used by EC_POINT_is_at_infinity, EC_POINT_is_on_curve, EC_POINT_make_affine */ int (*is_at_infinity)(const EC_GROUP *, EC_POINT *, BN_CTX *); int (*is_on_curve)(const EC_GROUP *, EC_POINT *, BN_CTX *); int (*make_affine)(const EC_GROUP *, EC_POINT *, BN_CTX *); /* internal functions */ /* 'field_mult' and 'field_sqr' can be used by 'add' and 'dbl' so that * the same implementations of point operations can be used with different * optimized implementations of expensive field operations: */ int (*field_mult)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *); int (*field_sqr)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); int (*field_encode)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); /* e.g. to Montgomery */ int (*field_decode)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); /* e.g. from Montgomery */ } /* EC_METHOD */; struct ec_group_st { EC_METHOD *meth; BIGNUM field; /* Field specification. * For curves over GF(p), this is the modulus. */ void *field_data; /* method-specific (e.g., Montgomery structure) */ BIGNUM a, b; /* Curve coefficients. * (Here the assumption is that BIGNUMs can be used * or abused for all kinds of fields, not just GF(p).) * For characteristic > 3, the curve is defined * by a Weierstrass equation of the form * Y^2 = X^3 + a*X + b. */ int a_is_minus3; /* enable optimized point arithmetics for special case */ EC_POINT *generator; /* optional */ BIGNUM order, cofactor; /* optional Lim/Lee precomputation table */ } /* EC_GROUP */; struct ec_point_st { EC_METHOD *meth; BIGNUM X; BIGNUM Y; BIGNUM Z; /* Jacobian projective coordinates: * (X, Y, Z) represents (X/Z^2, Y/Z^3) if Z != 0 */ int Z_is_one; /* enable optimized point arithmetics for special case */ } /* EC_POINT */;