#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 */
*
*/
+
+#include <stdlib.h>
+
#include <openssl/ec.h>
+
+
+/* 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 */;