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Diffstat (limited to 'openssl/crypto/ec/ec_lcl.h')
| -rw-r--r-- | openssl/crypto/ec/ec_lcl.h | 568 |
1 files changed, 568 insertions, 0 deletions
diff --git a/openssl/crypto/ec/ec_lcl.h b/openssl/crypto/ec/ec_lcl.h new file mode 100644 index 0000000..969fd14 --- /dev/null +++ b/openssl/crypto/ec/ec_lcl.h @@ -0,0 +1,568 @@ +/* crypto/ec/ec_lcl.h */ +/* + * Originally written by Bodo Moeller for the OpenSSL project. + */ +/* ==================================================================== + * Copyright (c) 1998-2010 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. + * + */ + +#include <stdlib.h> + +#include <openssl/obj_mac.h> +#include <openssl/ec.h> +#include <openssl/bn.h> + +#if defined(__SUNPRO_C) +# if __SUNPRO_C >= 0x520 +# pragma error_messages (off,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE) +# endif +#endif + +/* Use default functions for poin2oct, oct2point and compressed coordinates */ +#define EC_FLAGS_DEFAULT_OCT 0x1 + +/* + * Structure details are not part of the exported interface, so all this may + * change in future versions. + */ + +struct ec_method_st { + /* Various method flags */ + int flags; + /* used by EC_METHOD_get_field_type: */ + int field_type; /* a NID */ + /* + * 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 *); + /* e.g. to Montgomery */ + int (*field_encode) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a, + BN_CTX *); + /* e.g. from Montgomery */ + int (*field_decode) (const EC_GROUP *, BIGNUM *r, const BIGNUM *a, + BN_CTX *); + int (*field_set_to_one) (const EC_GROUP *, BIGNUM *r, BN_CTX *); +} /* EC_METHOD */ ; + +typedef struct ec_extra_data_st { + struct ec_extra_data_st *next; + void *data; + void *(*dup_func) (void *); + void (*free_func) (void *); + void (*clear_free_func) (void *); +} EC_EXTRA_DATA; /* used in EC_GROUP */ + +struct ec_group_st { + const EC_METHOD *meth; + EC_POINT *generator; /* optional */ + BIGNUM order, cofactor; + int curve_name; /* optional NID for named curve */ + int asn1_flag; /* flag to control the asn1 encoding */ + /* + * Kludge: upper bit of ans1_flag is used to denote structure + * version. Is set, then last field is present. This is done + * for interoperation with FIPS code. + */ +#define EC_GROUP_ASN1_FLAG_MASK 0x7fffffff +#define EC_GROUP_VERSION(p) (p->asn1_flag&~EC_GROUP_ASN1_FLAG_MASK) + point_conversion_form_t asn1_form; + unsigned char *seed; /* optional seed for parameters (appears in + * ASN1) */ + size_t seed_len; + EC_EXTRA_DATA *extra_data; /* linked list */ + /* + * The following members are handled by the method functions, even if + * they appear generic + */ + /* + * 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. + */ + BIGNUM field; + /* + * 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. + */ + int poly[6]; + /* + * 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. + */ + BIGNUM a, b; + /* enable optimized point arithmetics for special case */ + int a_is_minus3; + /* method-specific (e.g., Montgomery structure) */ + void *field_data1; + /* method-specific */ + void *field_data2; + /* method-specific */ + int (*field_mod_func) (BIGNUM *, const BIGNUM *, const BIGNUM *, + BN_CTX *); + BN_MONT_CTX *mont_data; /* data for ECDSA inverse */ +} /* EC_GROUP */ ; + +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; + EC_EXTRA_DATA *method_data; +} /* EC_KEY */ ; + +/* + * Basically a 'mixin' for extra data, but available for EC_GROUPs/EC_KEYs + * only (with visibility limited to 'package' level for now). We use the + * function pointers as index for retrieval; this obviates global + * ex_data-style index tables. + */ +int EC_EX_DATA_set_data(EC_EXTRA_DATA **, void *data, + void *(*dup_func) (void *), + void (*free_func) (void *), + void (*clear_free_func) (void *)); +void *EC_EX_DATA_get_data(const EC_EXTRA_DATA *, void *(*dup_func) (void *), + void (*free_func) (void *), + void (*clear_free_func) (void *)); +void EC_EX_DATA_free_data(EC_EXTRA_DATA **, void *(*dup_func) (void *), + void (*free_func) (void *), + void (*clear_free_func) (void *)); +void EC_EX_DATA_clear_free_data(EC_EXTRA_DATA **, void *(*dup_func) (void *), + void (*free_func) (void *), + void (*clear_free_func) (void *)); +void EC_EX_DATA_free_all_data(EC_EXTRA_DATA **); +void EC_EX_DATA_clear_free_all_data(EC_EXTRA_DATA **); + +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 */ ; + +/* + * method functions in ec_mult.c (ec_lib.c uses these as defaults if + * group->method->mul is 0) + */ +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 ecp_smpl.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 *); +size_t ec_GFp_simple_point2oct(const EC_GROUP *, const EC_POINT *, + point_conversion_form_t form, + unsigned char *buf, size_t len, BN_CTX *); +int ec_GFp_simple_oct2point(const EC_GROUP *, EC_POINT *, + const unsigned char *buf, size_t len, 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 ecp_mont.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 *); + +/* method functions in ecp_nist.c */ +int ec_GFp_nist_group_copy(EC_GROUP *dest, const EC_GROUP *src); +int ec_GFp_nist_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, + const BIGNUM *b, BN_CTX *); +int ec_GFp_nist_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, + const BIGNUM *b, BN_CTX *); +int ec_GFp_nist_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, + BN_CTX *); + +/* method functions in ec2_smpl.c */ +int ec_GF2m_simple_group_init(EC_GROUP *); +void ec_GF2m_simple_group_finish(EC_GROUP *); +void ec_GF2m_simple_group_clear_finish(EC_GROUP *); +int ec_GF2m_simple_group_copy(EC_GROUP *, const EC_GROUP *); +int ec_GF2m_simple_group_set_curve(EC_GROUP *, const BIGNUM *p, + const BIGNUM *a, const BIGNUM *b, + BN_CTX *); +int ec_GF2m_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a, + BIGNUM *b, BN_CTX *); +int ec_GF2m_simple_group_get_degree(const EC_GROUP *); +int ec_GF2m_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *); +int ec_GF2m_simple_point_init(EC_POINT *); +void ec_GF2m_simple_point_finish(EC_POINT *); +void ec_GF2m_simple_point_clear_finish(EC_POINT *); +int ec_GF2m_simple_point_copy(EC_POINT *, const EC_POINT *); +int ec_GF2m_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *); +int ec_GF2m_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *, + const BIGNUM *x, + const BIGNUM *y, BN_CTX *); +int ec_GF2m_simple_point_get_affine_coordinates(const EC_GROUP *, + const EC_POINT *, BIGNUM *x, + BIGNUM *y, BN_CTX *); +int ec_GF2m_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *, + const BIGNUM *x, int y_bit, + BN_CTX *); +size_t ec_GF2m_simple_point2oct(const EC_GROUP *, const EC_POINT *, + point_conversion_form_t form, + unsigned char *buf, size_t len, BN_CTX *); +int ec_GF2m_simple_oct2point(const EC_GROUP *, EC_POINT *, + const unsigned char *buf, size_t len, BN_CTX *); +int ec_GF2m_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, + const EC_POINT *b, BN_CTX *); +int ec_GF2m_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, + BN_CTX *); +int ec_GF2m_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *); +int ec_GF2m_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *); +int ec_GF2m_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *); +int ec_GF2m_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, + BN_CTX *); +int ec_GF2m_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *); +int ec_GF2m_simple_points_make_affine(const EC_GROUP *, size_t num, + EC_POINT *[], BN_CTX *); +int ec_GF2m_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, + const BIGNUM *b, BN_CTX *); +int ec_GF2m_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, + BN_CTX *); +int ec_GF2m_simple_field_div(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, + const BIGNUM *b, BN_CTX *); + +/* method functions in ec2_mult.c */ +int ec_GF2m_simple_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_GF2m_precompute_mult(EC_GROUP *group, BN_CTX *ctx); +int ec_GF2m_have_precompute_mult(const EC_GROUP *group); + +#ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 +/* method functions in ecp_nistp224.c */ +int ec_GFp_nistp224_group_init(EC_GROUP *group); +int ec_GFp_nistp224_group_set_curve(EC_GROUP *group, const BIGNUM *p, + const BIGNUM *a, const BIGNUM *n, + BN_CTX *); +int ec_GFp_nistp224_point_get_affine_coordinates(const EC_GROUP *group, + const EC_POINT *point, + BIGNUM *x, BIGNUM *y, + BN_CTX *ctx); +int 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 *); +int 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); +int ec_GFp_nistp224_precompute_mult(EC_GROUP *group, BN_CTX *ctx); +int ec_GFp_nistp224_have_precompute_mult(const EC_GROUP *group); + +/* method functions in ecp_nistp256.c */ +int ec_GFp_nistp256_group_init(EC_GROUP *group); +int ec_GFp_nistp256_group_set_curve(EC_GROUP *group, const BIGNUM *p, + const BIGNUM *a, const BIGNUM *n, + BN_CTX *); +int ec_GFp_nistp256_point_get_affine_coordinates(const EC_GROUP *group, + const EC_POINT *point, + BIGNUM *x, BIGNUM *y, + BN_CTX *ctx); +int 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 *); +int 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); +int ec_GFp_nistp256_precompute_mult(EC_GROUP *group, BN_CTX *ctx); +int ec_GFp_nistp256_have_precompute_mult(const EC_GROUP *group); + +/* method functions in ecp_nistp521.c */ +int ec_GFp_nistp521_group_init(EC_GROUP *group); +int ec_GFp_nistp521_group_set_curve(EC_GROUP *group, const BIGNUM *p, + const BIGNUM *a, const BIGNUM *n, + BN_CTX *); +int ec_GFp_nistp521_point_get_affine_coordinates(const EC_GROUP *group, + const EC_POINT *point, + BIGNUM *x, BIGNUM *y, + BN_CTX *ctx); +int 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 *); +int 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); +int ec_GFp_nistp521_precompute_mult(EC_GROUP *group, BN_CTX *ctx); +int ec_GFp_nistp521_have_precompute_mult(const EC_GROUP *group); + +/* utility functions in ecp_nistputil.c */ +void ec_GFp_nistp_points_make_affine_internal(size_t num, void *point_array, + size_t felem_size, + void *tmp_felems, + void (*felem_one) (void *out), + int (*felem_is_zero) (const void + *in), + void (*felem_assign) (void *out, + const void + *in), + void (*felem_square) (void *out, + const void + *in), + void (*felem_mul) (void *out, + const void + *in1, + const void + *in2), + void (*felem_inv) (void *out, + const void + *in), + void (*felem_contract) (void + *out, + const + void + *in)); +void ec_GFp_nistp_recode_scalar_bits(unsigned char *sign, + unsigned char *digit, unsigned char in); +#endif +int ec_precompute_mont_data(EC_GROUP *); + +#ifdef ECP_NISTZ256_ASM +/** Returns GFp methods using montgomery multiplication, with x86-64 optimized + * P256. See http://eprint.iacr.org/2013/816. + * \return EC_METHOD object + */ +const EC_METHOD *EC_GFp_nistz256_method(void); +#endif + +#ifdef OPENSSL_FIPS +EC_GROUP *FIPS_ec_group_new_curve_gfp(const BIGNUM *p, const BIGNUM *a, + const BIGNUM *b, BN_CTX *ctx); +EC_GROUP *FIPS_ec_group_new_curve_gf2m(const BIGNUM *p, const BIGNUM *a, + const BIGNUM *b, BN_CTX *ctx); +EC_GROUP *FIPS_ec_group_new_by_curve_name(int nid); +#endif |