X-Git-Url: https://git.openssl.org/?a=blobdiff_plain;f=crypto%2Fec%2Fec_lcl.h;h=b44535535046ba2970b8b62c9fe1c28ef903919d;hb=87309e2fc1ba8357b79870f87481ce393c9ccfe4;hp=2473c6fed4e023cdeee716099c64b05a3a59c264;hpb=7d7db13e67b7834818e361d5a16083e1d237b62a;p=openssl.git diff --git a/crypto/ec/ec_lcl.h b/crypto/ec/ec_lcl.h index 2473c6fed4..b445355350 100644 --- a/crypto/ec/ec_lcl.h +++ b/crypto/ec/ec_lcl.h @@ -1,7 +1,9 @@ -/* TODO */ /* crypto/ec/ec_lcl.h */ +/* + * Originally written by Bodo Moeller for the OpenSSL project. + */ /* ==================================================================== - * Copyright (c) 1998-2001 The OpenSSL Project. All rights reserved. + * 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 @@ -53,86 +55,393 @@ * 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 +#include #include +#include +#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 { - /* used by EC_GROUP_new, EC_GROUP_set_GFp, EC_GROUP_free, EC_GROUP_copy: */ + /* 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 *); - /* int (*group_set)(EC_GROUP *, .....); */ - int (*group_set_GFp)(EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *); void (*group_finish)(EC_GROUP *); + void (*group_clear_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_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_copy: */ + /* 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 *); - /* TODO: 'set' and 'get' functions for EC_POINTs */ + /*- + * 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 *, EC_POINT *, point_conversion_form_t form, + 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: */ + /* 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_mult' and 'field_sqr' can be used by 'add' and 'dbl' so that + /* '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_mult)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *); + 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 */; +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 { - EC_METHOD *meth; + 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 */ + 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 */ + BIGNUM field; /* Field specification. - * For curves over GF(p), this is the modulus. */ - void *field_data; /* method-specific (e.g., Montgomery structure) */ + * 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).) */ - int a_is_minus3; /* enable optimized point arithmetics for special case */ + * 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. + */ - EC_POINT *generator; /* optional */ - BIGNUM order, cofactor; + int a_is_minus3; /* enable optimized point arithmetics for special case */ - /* optional Lim/Lee precomputation table */ + 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_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 { - EC_METHOD *meth; + 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 */ - int z_is_one; /* enable optimized point arithmetics for special case */ + 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); + +/* 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