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Diffstat (limited to 'src/crypto/ec/internal.h')
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diff --git a/src/crypto/ec/internal.h b/src/crypto/ec/internal.h new file mode 100644 index 0000000..da116c4 --- /dev/null +++ b/src/crypto/ec/internal.h @@ -0,0 +1,380 @@ +/* Originally written by Bodo Moeller for the OpenSSL project. + * ==================================================================== + * Copyright (c) 1998-2005 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). + * + */ +/* ==================================================================== + * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. + * + * Portions of the attached software ("Contribution") are developed by + * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project. + * + * The Contribution is licensed pursuant to the OpenSSL open source + * license provided above. + * + * The elliptic curve binary polynomial software is originally written by + * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems + * Laboratories. */ + +#ifndef OPENSSL_HEADER_EC_INTERNAL_H +#define OPENSSL_HEADER_EC_INTERNAL_H + +#include <openssl/base.h> + +#include <openssl/bn.h> +#include <openssl/ex_data.h> + +#if defined(__cplusplus) +extern "C" { +#endif + + +/* Use default functions for poin2oct, oct2point and compressed coordinates */ +#define EC_FLAGS_DEFAULT_OCT 0x1 + +typedef struct ec_method_st EC_METHOD; + +struct ec_method_st { + /* Various method flags */ + int flags; + + /* used by EC_GROUP_new, EC_GROUP_free, EC_GROUP_clear_free, EC_GROUP_copy: */ + int (*group_init)(EC_GROUP *); + void (*group_finish)(EC_GROUP *); + void (*group_clear_finish)(EC_GROUP *); + int (*group_copy)(EC_GROUP *, const EC_GROUP *); + + /* used by EC_GROUP_set_curve_GFp, EC_GROUP_get_curve_GFp, */ + /* EC_GROUP_set_curve_GF2m, and EC_GROUP_get_curve_GF2m: */ + int (*group_set_curve)(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, + const BIGNUM *b, BN_CTX *); + int (*group_get_curve)(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, + BN_CTX *); + + /* used by EC_GROUP_get_degree: */ + int (*group_get_degree)(const EC_GROUP *); + + /* used by EC_GROUP_check: */ + int (*group_check_discriminant)(const EC_GROUP *, BN_CTX *); + + /* used by EC_POINT_new, EC_POINT_free, EC_POINT_clear_free, EC_POINT_copy: */ + int (*point_init)(EC_POINT *); + void (*point_finish)(EC_POINT *); + void (*point_clear_finish)(EC_POINT *); + int (*point_copy)(EC_POINT *, const EC_POINT *); + + /* used by EC_POINT_set_to_infinity, + * EC_POINT_set_Jprojective_coordinates_GFp, + * EC_POINT_get_Jprojective_coordinates_GFp, + * EC_POINT_set_affine_coordinates_GFp, ..._GF2m, + * EC_POINT_get_affine_coordinates_GFp, ..._GF2m, + * EC_POINT_set_compressed_coordinates_GFp, ..._GF2m: + */ + int (*point_set_to_infinity)(const EC_GROUP *, EC_POINT *); + int (*point_set_Jprojective_coordinates_GFp)(const EC_GROUP *, EC_POINT *, + const BIGNUM *x, const BIGNUM *y, + const BIGNUM *z, BN_CTX *); + int (*point_get_Jprojective_coordinates_GFp)(const EC_GROUP *, + const EC_POINT *, BIGNUM *x, + BIGNUM *y, BIGNUM *z, BN_CTX *); + int (*point_set_affine_coordinates)(const EC_GROUP *, EC_POINT *, + const BIGNUM *x, const BIGNUM *y, + BN_CTX *); + int (*point_get_affine_coordinates)(const EC_GROUP *, const EC_POINT *, + BIGNUM *x, BIGNUM *y, BN_CTX *); + int (*point_set_compressed_coordinates)(const EC_GROUP *, EC_POINT *, + const BIGNUM *x, int y_bit, BN_CTX *); + + /* used by EC_POINT_point2oct, EC_POINT_oct2point: */ + size_t (*point2oct)(const EC_GROUP *, const 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, ECP_POINT_invert: */ + 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 *); + int (*invert)(const EC_GROUP *, EC_POINT *, BN_CTX *); + + /* used by EC_POINT_is_at_infinity, EC_POINT_is_on_curve, EC_POINT_cmp: */ + int (*is_at_infinity)(const EC_GROUP *, const EC_POINT *); + int (*is_on_curve)(const EC_GROUP *, const EC_POINT *, BN_CTX *); + int (*point_cmp)(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, + BN_CTX *); + + /* used by EC_POINT_make_affine, EC_POINTs_make_affine: */ + int (*make_affine)(const EC_GROUP *, EC_POINT *, BN_CTX *); + int (*points_make_affine)(const EC_GROUP *, size_t num, EC_POINT * [], + BN_CTX *); + + /* used by EC_POINTs_mul, EC_POINT_mul, EC_POINT_precompute_mult, + * EC_POINT_have_precompute_mult + * (default implementations are used if the 'mul' pointer is 0): */ + int (*mul)(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, + size_t num, const EC_POINT *points[], const BIGNUM *scalars[], + BN_CTX *); + int (*precompute_mult)(EC_GROUP *group, BN_CTX *); + int (*have_precompute_mult)(const EC_GROUP *group); + + + /* internal functions */ + + /* 'field_mul', 'field_sqr', and 'field_div' 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_mul)(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_div)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, + const BIGNUM *b, 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 */ + int (*field_set_to_one)(const EC_GROUP *, BIGNUM *r, BN_CTX *); +} /* EC_METHOD */; + +const EC_METHOD* EC_GFp_mont_method(void); + +struct ec_pre_comp_st; +void ec_pre_comp_free(struct ec_pre_comp_st *pre_comp); +void *ec_pre_comp_dup(struct ec_pre_comp_st *pre_comp); + +struct ec_group_st { + const EC_METHOD *meth; + + EC_POINT *generator; /* optional */ + BIGNUM order, cofactor; + + int curve_name; /* optional NID for named curve */ + + struct ec_pre_comp_st *pre_comp; + + /* The following members are handled by the method functions, + * even if they appear generic */ + + BIGNUM field; /* Field specification. + * For curves over GF(p), this is the modulus; + * for curves over GF(2^m), this is the + * irreducible polynomial defining the field. */ + + int poly[6]; /* Field specification for curves over GF(2^m). + * The irreducible f(t) is then of the form: + * t^poly[0] + t^poly[1] + ... + t^poly[k] + * where m = poly[0] > poly[1] > ... > poly[k] = 0. + * The array is terminated with poly[k+1]=-1. + * All elliptic curve irreducibles have at most 5 + * non-zero terms. */ + + 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. + * For characteristic 2, the curve is defined by + * an equation of the form + * y^2 + x*y = x^3 + a*x^2 + b. */ + + int a_is_minus3; /* enable optimized point arithmetics for special case */ + + void *field_data1; /* method-specific (e.g., Montgomery structure) */ + void *field_data2; /* method-specific */ + int (*field_mod_func)(BIGNUM *, const BIGNUM *, const BIGNUM *, + BN_CTX *); /* method-specific */ +} /* EC_GROUP */; + +struct ec_point_st { + const EC_METHOD *meth; + + /* All members except 'meth' are handled by the method functions, + * even if they appear generic */ + + 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 */; + +EC_GROUP *ec_group_new(const EC_METHOD *meth); + +int ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar, + size_t num, const EC_POINT *points[], const BIGNUM *scalars[], + BN_CTX *); +int ec_wNAF_precompute_mult(EC_GROUP *group, BN_CTX *); +int ec_wNAF_have_precompute_mult(const EC_GROUP *group); + +/* method functions in simple.c */ +int ec_GFp_simple_group_init(EC_GROUP *); +void ec_GFp_simple_group_finish(EC_GROUP *); +void ec_GFp_simple_group_clear_finish(EC_GROUP *); +int ec_GFp_simple_group_copy(EC_GROUP *, const EC_GROUP *); +int ec_GFp_simple_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, + const BIGNUM *b, BN_CTX *); +int ec_GFp_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a, + BIGNUM *b, BN_CTX *); +int ec_GFp_simple_group_get_degree(const EC_GROUP *); +int ec_GFp_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *); +int ec_GFp_simple_point_init(EC_POINT *); +void ec_GFp_simple_point_finish(EC_POINT *); +void ec_GFp_simple_point_clear_finish(EC_POINT *); +int ec_GFp_simple_point_copy(EC_POINT *, const EC_POINT *); +int ec_GFp_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *); +int ec_GFp_simple_set_Jprojective_coordinates_GFp(const EC_GROUP *, EC_POINT *, + const BIGNUM *x, + const BIGNUM *y, + const BIGNUM *z, BN_CTX *); +int ec_GFp_simple_get_Jprojective_coordinates_GFp(const EC_GROUP *, + const EC_POINT *, BIGNUM *x, + BIGNUM *y, BIGNUM *z, + BN_CTX *); +int ec_GFp_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *, + const BIGNUM *x, const BIGNUM *y, + BN_CTX *); +int ec_GFp_simple_point_get_affine_coordinates(const EC_GROUP *, + const EC_POINT *, BIGNUM *x, + BIGNUM *y, BN_CTX *); +int ec_GFp_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *, + const BIGNUM *x, int y_bit, + BN_CTX *); +int ec_GFp_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, + const EC_POINT *b, BN_CTX *); +int ec_GFp_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, + BN_CTX *); +int ec_GFp_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *); +int ec_GFp_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *); +int ec_GFp_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *); +int ec_GFp_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, + BN_CTX *); +int ec_GFp_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *); +int ec_GFp_simple_points_make_affine(const EC_GROUP *, size_t num, + EC_POINT * [], BN_CTX *); +int ec_GFp_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, + const BIGNUM *b, BN_CTX *); +int ec_GFp_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, + BN_CTX *); + +/* method functions in montgomery.c */ +int ec_GFp_mont_group_init(EC_GROUP *); +int ec_GFp_mont_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, + const BIGNUM *b, BN_CTX *); +void ec_GFp_mont_group_finish(EC_GROUP *); +void ec_GFp_mont_group_clear_finish(EC_GROUP *); +int ec_GFp_mont_group_copy(EC_GROUP *, const EC_GROUP *); +int ec_GFp_mont_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, + const BIGNUM *b, BN_CTX *); +int ec_GFp_mont_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, + BN_CTX *); +int ec_GFp_mont_field_encode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, + BN_CTX *); +int ec_GFp_mont_field_decode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, + BN_CTX *); +int ec_GFp_mont_field_set_to_one(const EC_GROUP *, BIGNUM *r, BN_CTX *); + +int ec_point_set_Jprojective_coordinates_GFp(const EC_GROUP *group, + EC_POINT *point, const BIGNUM *x, + const BIGNUM *y, const BIGNUM *z, + BN_CTX *ctx); + +struct ec_key_st { + int version; + + EC_GROUP *group; + + EC_POINT *pub_key; + BIGNUM *priv_key; + + unsigned int enc_flag; + point_conversion_form_t conv_form; + + int references; + int flags; + + ECDSA_METHOD *ecdsa_meth; + + CRYPTO_EX_DATA ex_data; +} /* EC_KEY */; + +/* curve_data contains data about a built-in elliptic curve. */ +struct curve_data { + /* comment is a human-readable string describing the curve. */ + const char *comment; + /* param_len is the number of bytes needed to store a field element. */ + uint8_t param_len; + /* cofactor is the cofactor of the group (i.e. the number of elements in the + * group divided by the size of the main subgroup. */ + uint8_t cofactor; /* promoted to BN_ULONG */ + /* data points to an array of 6*|param_len| bytes which hold the field + * elements of the following (in big-endian order): prime, a, b, generator x, + * generator y, order. */ + const uint8_t data[]; +}; + +struct built_in_curve { + int nid; + const struct curve_data *data; + const EC_METHOD *(*method)(void); +}; + +/* OPENSSL_built_in_curves is terminated with an entry where |nid| is + * |NID_undef|. */ +extern const struct built_in_curve OPENSSL_built_in_curves[]; + +#if defined(__cplusplus) +} /* extern C */ +#endif + +#endif /* OPENSSL_HEADER_EC_INTERNAL_H */ |