X-Git-Url: https://git.librecmc.org/?a=blobdiff_plain;f=crypto%2Fec%2Fec_lcl.h;h=ae67ccfdc24bf9c62ef6453f2ef68886f38fe722;hb=5d9470ff8e8c030b71dcc2e02c1c43d5deb1fa72;hp=a205ab09285bef3b578d92a5332fa172d5bf07eb;hpb=d8c79c7f72f520038ac774eb43ffc26b0f5d3bed;p=oweals%2Fopenssl.git diff --git a/crypto/ec/ec_lcl.h b/crypto/ec/ec_lcl.h index a205ab0928..ae67ccfdc2 100644 --- a/crypto/ec/ec_lcl.h +++ b/crypto/ec/ec_lcl.h @@ -1,5 +1,7 @@ -/* 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. * @@ -53,69 +55,332 @@ * 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. + * + * In addition, Sun covenants to all licensees who provide a reciprocal + * covenant with respect to their own patents if any, not to sue under + * current and future patent claims necessarily infringed by the making, + * using, practicing, selling, offering for sale and/or otherwise + * disposing of the Contribution as delivered hereunder + * (or portions thereof), provided that such covenant shall not apply: + * 1) for code that a licensee deletes from the Contribution; + * 2) separates from the Contribution; or + * 3) for infringements caused by: + * i) the modification of the Contribution or + * ii) the combination of the Contribution with other software or + * devices where such combination causes the infringement. + * + * The elliptic curve binary polynomial software is originally written by + * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories. + * + */ #include +#include #include +/* internal function: ec_group_index2nid() returns the NID of curve + * with the given index i from the internal curve list */ +int ec_group_index2nid(int i); + + /* 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: */ + /* 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); void (*group_finish)(EC_GROUP *); + void (*group_clear_finish)(EC_GROUP *); + int (*group_copy)(EC_GROUP *, const EC_GROUP *); - /* used by EC_POINT_new, EC_POINT_free: */ + /* 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_add, EC_POINT_dbl: */ - int (*add)(const EC_GROUP *, EC_POINT *r, EC_POINT *a, EC_POINT *b); - int (*dbl)(const EC_GROUP *, EC_POINT *r, EC_POINT *a); + /* 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 *, unsigned char *buf, - size_t len, point_conversion_form_t form); - int (*oct2point)(const EC_GROUP *, EC_POINT *, unsigned char *buf, size_t len); + 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_POINTs_mul, EC_POINT_mul, EC_POINT_precompute_mult: */ + 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 *); + + /* 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 *); /* 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, BIGNUM *a, BIGNUM *b); - int (*field_sqr)(const EC_GROUP *, BIGNUM *r, BIGNUM *a); + 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 */; 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; + void *extra_data; + void *(*extra_data_dup_func)(void *); + void (*extra_data_free_func)(void *); + void (*extra_data_clear_free_func)(void *); + + /* 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. + */ + + unsigned int poly[5]; /* 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. + */ 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).) */ + * 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 */ - /* TODO: optional generator with associated information (order, cofactor) */ - /* optional Lim/Lee precomputation table */ + void *field_data1; /* method-specific (e.g., Montgomery structure) */ + void *field_data2; /* method-specific */ } /* EC_GROUP */; +/* Basically a 'mixin' for extra data, but available for EC_GROUPs 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 *); + + + struct ec_point_st { - EC_METHOD *meth; + const EC_METHOD *meth; - BIGNUM x; - BIGNUM y; - BIGNUM z; /* Jacobian projective coordinates */ - int z_is_one; /* enable optimized point arithmetics for special case */ + /* 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 */ +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 *); + +/* 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_recp.c */ +int ec_GFp_recp_group_init(EC_GROUP *); +int ec_GFp_recp_group_set_curve(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(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_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_mont_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_mont_precompute_mult(EC_GROUP *group, BN_CTX *ctx);