From 3a12ce013703356ebc9b8bdc1b60724119238216 Mon Sep 17 00:00:00 2001 From: =?utf8?q?Bodo=20M=C3=B6ller?= Date: Mon, 5 Mar 2001 21:54:39 +0000 Subject: [PATCH] Some declarations that outline what I intend to implement. --- crypto/ec/ec.h | 52 +++++++++++++++++++++++++++++++++++++ crypto/ec/ec_lcl.h | 64 ++++++++++++++++++++++++++++++++++++++++++++++ 2 files changed, 116 insertions(+) diff --git a/crypto/ec/ec.h b/crypto/ec/ec.h index a1e7e57460..8fc79ce8d7 100644 --- a/crypto/ec/ec.h +++ b/crypto/ec/ec.h @@ -64,6 +64,58 @@ extern "C" { #endif +typedef enum { + POINT_CONVERSION_COMPRESSED = 2, + POINT_CONVERSION_UNCOMPRESSED = 4, + POINT_CONVERSION_HYBRID = 6 +} point_conversion_form_t; + + +typedef struct ec_method_st EC_METHOD; + +typedef struct ec_group_st + /* + EC_METHOD *meth; + -- field definition + -- curve coefficients + -- optional generator with associated information (order, cofactor) + -- optional Lim/Lee precomputation table + */ + EC_GROUP; + +typedef struct ec_point_st EC_POINT; + + +/* EC_METHODs for curves over GF(p). + * EC_GFp_simple_method provides the basis for the optimized methods. + */ + +const EC_METHOD *EC_GFp_simple_method(void); +const EC_METHOD *EC_GFp_mont_method(void); +const EC_METHOD *EC_GFp_recp_method(void); +const EC_METHOD *EC_GFp_nist_method(void); + + +EC_GROUP *EC_GROUP_new(const EC_METHOD *); +/* We don't have types for field specifications and field elements in general. + * Otherwise we would declare + * int EC_GROUP_set(EC_GROUP *, .....); + */ +int EC_GROUP_set_GFp(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b); +void EC_GROUP_free(EC_GROUP *); + +EC_POINT *EC_POINT_new(const EC_GROUP *); +void EC_POINT_free(EC_POINT *); + +int EC_POINT_add(const EC_GROUP *, EC_POINT *r, EC_POINT *a, EC_POINT *b); +int EC_POINT_dbl(const EC_GROUP *, EC_POINT *r, EC_POINT *a); + +size_t EC_POINT_point2oct(const EC_GROUP *, EC_POINT *, unsigned char *buf, + size_t len, point_conversion_form_t form); +int EC_POINT_oct2point(const EC_GROUP *, EC_POINT *, unsigned char *buf, size_t len); + + +/* TODO: scalar multiplication */ diff --git a/crypto/ec/ec_lcl.h b/crypto/ec/ec_lcl.h index f1c414413e..c25a2924ba 100644 --- a/crypto/ec/ec_lcl.h +++ b/crypto/ec/ec_lcl.h @@ -54,4 +54,68 @@ * */ + +#include + #include + + +/* 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: */ + 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 *); + + /* used by EC_POINT_new, EC_POINT_free: */ + int (*point_init)(EC_POINT *); + void (*point_finish)(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_add, EC_POINT_dbl: */ + 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); + + + /* internal functions */ + + /* 'field_mult' and 'field_sqr' can be used by 'add' and 'dbl' so that + * the same implementations of point operations can be used with different + * implementations of field operations: */ + int (*field_mult)(const EC_GROUP *, BIGNUM *r, BIGNUM *a, BIGNUM *b); + int (*field_sqr)(const EC_GROUP *, BIGNUM *r, BIGNUM *a); +} /* EC_METHOD */; + + +struct ec_group_st { + EC_METHOD *meth; + + BIGNUM field; /* Field specification. + * For curves over GF(p), this is the modulus. */ + void *field_data; /* method-specific (e.g., Montgomery structure) */ + + 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 */ + + /* TODO: optional generator with associated information (order, cofactor) */ + /* optional Lim/Lee precomputation table */ +} /* EC_GROUP */; + + +struct ec_point_st { + EC_METHOD *meth; + + BIGNUM x; + BIGNUM y; + BIGNUM z; /* Jacobian projective coordinates */ + int z_is_one; /* enable optimized point arithmetics for special case */ +} /* EC_POINT */; -- 2.34.1