X-Git-Url: https://git.openssl.org/gitweb/?p=openssl.git;a=blobdiff_plain;f=crypto%2Fec%2Fec_lcl.h;h=b0d48b6b5cc7f8a8af66523b24feda6cfaf6cd60;hp=037c7d95a6d95d2dd6e52f6d53506b93a0944852;hb=8e3231642b89332fa56ed2b6f501e28722e2048e;hpb=012c86ab74ae45873ea51eef7ca3c1d04d1441f1 diff --git a/crypto/ec/ec_lcl.h b/crypto/ec/ec_lcl.h index 037c7d95a6..b0d48b6b5c 100644 --- a/crypto/ec/ec_lcl.h +++ b/crypto/ec/ec_lcl.h @@ -1,6 +1,9 @@ /* 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 @@ -52,18 +55,42 @@ * 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 { + /* Various method flags */ + int flags; /* used by EC_METHOD_get_field_type: */ int field_type; /* a NID */ @@ -73,9 +100,13 @@ struct ec_method_st { void (*group_clear_finish)(EC_GROUP *); int (*group_copy)(EC_GROUP *, const EC_GROUP *); - /* used by EC_GROUP_set_curve_GFp and EC_GROUP_get_curve_GFp: */ - int (*group_set_curve_GFp)(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); - int (*group_get_curve_GFp)(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *); + /* 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 *); @@ -87,20 +118,22 @@ struct ec_method_st { 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, EC_POINT_get_affine_coordinates_GFp, - * EC_POINT_set_compressed_coordinates_GFp: + * 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_GFp)(const EC_GROUP *, EC_POINT *, + int (*point_set_affine_coordinates)(const EC_GROUP *, EC_POINT *, const BIGNUM *x, const BIGNUM *y, BN_CTX *); - int (*point_get_affine_coordinates_GFp)(const EC_GROUP *, const EC_POINT *, + int (*point_get_affine_coordinates)(const EC_GROUP *, const EC_POINT *, BIGNUM *x, BIGNUM *y, BN_CTX *); - int (*point_set_compressed_coordinates_GFp)(const EC_GROUP *, EC_POINT *, + 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: */ @@ -123,20 +156,35 @@ struct ec_method_st { 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' 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_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 { const EC_METHOD *meth; @@ -144,16 +192,14 @@ struct ec_group_st { EC_POINT *generator; /* optional */ BIGNUM order, cofactor; - int nid; /* optional NID for named curve */ + int curve_name;/* optional NID for named curve */ int asn1_flag; /* flag to control the asn1 encoding */ + point_conversion_form_t asn1_form; - void *extra_data; - void *(*extra_data_dup_func)(void *); - void (*extra_data_free_func)(void *); - void (*extra_data_clear_free_func)(void *); + unsigned char *seed; /* optional seed for parameters (appears in ASN1) */ + size_t seed_len; - unsigned char *seed; /* XXX */ - size_t seed_len; /* XXX */ + EC_EXTRA_DATA *extra_data; /* linked list */ /* The following members are handled by the method functions, * even if they appear generic */ @@ -164,6 +210,15 @@ struct ec_group_st { * 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).) @@ -179,21 +234,41 @@ struct ec_group_st { 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; -/* Basically a 'mixin' for extra data, but available for EC_GROUPs only + 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. - * (Currently, we have one slot only, but is is possible to extend this - * if necessary.) */ -int EC_GROUP_set_extra_data(EC_GROUP *, void *extra_data, void *(*extra_data_dup_func)(void *), - void (*extra_data_free_func)(void *), void (*extra_data_clear_free_func)(void *)); -void *EC_GROUP_get_extra_data(const EC_GROUP *, void *(*extra_data_dup_func)(void *), - void (*extra_data_free_func)(void *), void (*extra_data_clear_free_func)(void *)); -void EC_GROUP_free_extra_data(EC_GROUP *); -void EC_GROUP_clear_free_extra_data(EC_GROUP *); + */ +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 **); @@ -212,13 +287,22 @@ struct ec_point_st { +/* 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_GFp(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); -int ec_GFp_simple_group_get_curve_GFp(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *); +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 *); @@ -229,11 +313,11 @@ 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_GFp(const EC_GROUP *, EC_POINT *, +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_GFp(const EC_GROUP *, const EC_POINT *, +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_GFp(const EC_GROUP *, EC_POINT *, +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 *); @@ -253,7 +337,7 @@ 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_GFp(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); +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 *); @@ -264,21 +348,99 @@ int ec_GFp_mont_field_decode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CT int ec_GFp_mont_field_set_to_one(const EC_GROUP *, BIGNUM *r, BN_CTX *); -/* method functions in ecp_recp.c */ -int ec_GFp_recp_group_init(EC_GROUP *); -int ec_GFp_recp_group_set_curve_GFp(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); -void ec_GFp_recp_group_finish(EC_GROUP *); -void ec_GFp_recp_group_clear_finish(EC_GROUP *); -int ec_GFp_recp_group_copy(EC_GROUP *, const EC_GROUP *); -int ec_GFp_recp_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *); -int ec_GFp_recp_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *); - - /* method functions in ecp_nist.c */ -int ec_GFp_nist_group_init(EC_GROUP *); -int ec_GFp_nist_group_set_curve_GFp(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); -void ec_GFp_nist_group_finish(EC_GROUP *); -void ec_GFp_nist_group_clear_finish(EC_GROUP *); -int ec_GFp_nist_group_copy(EC_GROUP *, const EC_GROUP *); +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