group.h

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/**********************************************************************
 * Copyright (c) 2013, 2014 Pieter Wuille                             *
 * Distributed under the MIT software license, see the accompanying   *
 * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
 **********************************************************************/
 
#ifndef _SECP256K1_GROUP_
#define _SECP256K1_GROUP_
 
#include "num.h"
#include "field.h"
 
typedef struct {
    secp256k1_fe_t x;
    secp256k1_fe_t y;
    int infinity; /* whether this represents the point at infinity */
} secp256k1_ge_t;
 
typedef struct {
    secp256k1_fe_t x; /* actual X: x/z^2 */
    secp256k1_fe_t y; /* actual Y: y/z^3 */
    secp256k1_fe_t z;
    int infinity; /* whether this represents the point at infinity */
} secp256k1_gej_t;
 
typedef struct {
    secp256k1_ge_t g; /* the generator point */
 
#ifdef USE_ENDOMORPHISM
    /* constants related to secp256k1's efficiently computable endomorphism */
    secp256k1_fe_t beta;
#endif
} secp256k1_ge_consts_t;
 
static const secp256k1_ge_consts_t *secp256k1_ge_consts = NULL;
 
static void secp256k1_ge_start(void);
 
static void secp256k1_ge_stop(void);
 
static void secp256k1_ge_set_infinity(secp256k1_ge_t *r);
 
static void secp256k1_ge_set_xy(secp256k1_ge_t *r, const secp256k1_fe_t *x, const secp256k1_fe_t *y);
 
static int secp256k1_ge_set_xo(secp256k1_ge_t *r, const secp256k1_fe_t *x, int odd);
 
static int secp256k1_ge_is_infinity(const secp256k1_ge_t *a);
 
static int secp256k1_ge_is_valid(const secp256k1_ge_t *a);
 
static void secp256k1_ge_neg(secp256k1_ge_t *r, const secp256k1_ge_t *a);
 
static void secp256k1_ge_get_hex(char *r, int *rlen, const secp256k1_ge_t *a);
 
static void secp256k1_ge_set_gej(secp256k1_ge_t *r, secp256k1_gej_t *a);
 
static void secp256k1_ge_set_all_gej_var(size_t len, secp256k1_ge_t r[len], const secp256k1_gej_t a[len]);
 
 
static void secp256k1_gej_set_infinity(secp256k1_gej_t *r);
 
static void secp256k1_gej_set_xy(secp256k1_gej_t *r, const secp256k1_fe_t *x, const secp256k1_fe_t *y);
 
static void secp256k1_gej_set_ge(secp256k1_gej_t *r, const secp256k1_ge_t *a);
 
static void secp256k1_gej_get_x_var(secp256k1_fe_t *r, const secp256k1_gej_t *a);
 
static void secp256k1_gej_neg(secp256k1_gej_t *r, const secp256k1_gej_t *a);
 
static int secp256k1_gej_is_infinity(const secp256k1_gej_t *a);
 
static void secp256k1_gej_double_var(secp256k1_gej_t *r, const secp256k1_gej_t *a);
 
static void secp256k1_gej_add_var(secp256k1_gej_t *r, const secp256k1_gej_t *a, const secp256k1_gej_t *b);
 
static void secp256k1_gej_add_ge(secp256k1_gej_t *r, const secp256k1_gej_t *a, const secp256k1_ge_t *b);
 
static void secp256k1_gej_add_ge_var(secp256k1_gej_t *r, const secp256k1_gej_t *a, const secp256k1_ge_t *b);
 
static void secp256k1_gej_get_hex(char *r, int *rlen, const secp256k1_gej_t *a);
 
#ifdef USE_ENDOMORPHISM
 
static void secp256k1_gej_mul_lambda(secp256k1_gej_t *r, const secp256k1_gej_t *a);
#endif
 
static void secp256k1_gej_clear(secp256k1_gej_t *r);
 
static void secp256k1_ge_clear(secp256k1_ge_t *r);
 
#endif