/***************************************************************************
*
Copyright 2013 CertiVox UK Ltd. *
*
This file is part of CertiVox MIRACL Crypto SDK. *
*
The CertiVox MIRACL Crypto SDK provides developers with an *
extensive and efficient set of cryptographic functions. *
For further information about its features and functionalities please *
refer to http://www.certivox.com *
*
* The CertiVox MIRACL Crypto SDK is free software: you can *
redistribute it and/or modify it under the terms of the *
GNU Affero General Public License as published by the *
Free Software Foundation, either version 3 of the License, *
or (at your option) any later version. *
*
* The CertiVox MIRACL Crypto SDK is distributed in the hope *
that it will be useful, but WITHOUT ANY WARRANTY; without even the *
implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. *
See the GNU Affero General Public License for more details. *
*
* You should have received a copy of the GNU Affero General Public *
License along with CertiVox MIRACL Crypto SDK. *
If not, see . *
*
You can be released from the requirements of the license by purchasing *
a commercial license. Buying such a license is mandatory as soon as you *
develop commercial activities involving the CertiVox MIRACL Crypto SDK *
without disclosing the source code of your own applications, or shipping *
the CertiVox MIRACL Crypto SDK with a closed source product. *
*
***************************************************************************/
/*
* MIRACL C++ Header file ec2.h
*
* AUTHOR : M. Scott
*
* PURPOSE : Definition of class EC2 (Arithmetic on an Elliptic Curve,
* over GF(2^m)
*
* NOTE : Must be used in conjunction with ec2.cpp and big.cpp
* The active curve is set dynamically (via the Big ecurve2()
* routine) - so beware the pitfalls implicit in declaring
* static or global EC2's (which are initialised before the
* curve is set!). Uninitialised data is OK
*/
#ifndef EC2_H
#define EC2_H
#include
#include "big.h"
#ifdef GF2MS
#define MR_INIT_EC2 memset(mem,0,mr_ecp_reserve(1,GF2MS)); p=(epoint *)epoint_init_mem_variable(mem,0,GF2MS);
#else
#define MR_INIT_EC2 mem=(char *)ecp_memalloc(1); p=(epoint *)epoint_init_mem(mem,0);
#endif
class EC2
{
epoint *p;
#ifdef GF2MS
char mem[mr_ecp_reserve(1,GF2MS)];
#else
char *mem;
#endif
public:
EC2() { MR_INIT_EC2}
EC2(const Big &x,const Big& y) {MR_INIT_EC2
epoint2_set(x.getbig(),y.getbig(),0,p); }
// This next constructor restores a point on the curve from "compressed"
// data, that is the full x co-ordinate, and the LSB of y/x (0 or 1)
EC2(const Big& x,int cb) {MR_INIT_EC2
epoint2_set(x.getbig(),x.getbig(),cb,p); }
EC2(const EC2 &b) {MR_INIT_EC2 epoint2_copy(b.p,p);}
epoint *get_point() const;
EC2& operator=(const EC2& b) {epoint2_copy(b.p,p);return *this;}
EC2& operator+=(const EC2& b) {ecurve2_add(b.p,p); return *this;}
EC2& operator-=(const EC2& b) {ecurve2_sub(b.p,p); return *this;}
// Multiplication of a point by an integer.
EC2& operator*=(const Big& k) {ecurve2_mult(k.getbig(),p,p); return *this;}
big add(const EC2& b) {return ecurve2_add(b.p,p); }
// returns line slope as a big
big sub(const EC2& b) {return ecurve2_sub(b.p,p); }
void clear() {epoint2_set(NULL,NULL,0,p);}
BOOL set(const Big& x,const Big& y) {return epoint2_set(x.getbig(),y.getbig(),0,p);}
int get(Big& x,Big& y) const;
BOOL iszero() const;
// This gets the point in compressed form. Return value is LSB of y-coordinate
int get(Big& x) const;
void getx(Big &x) const;
void getxy(Big &x,Big& y) const;
void getxyz(Big &x,Big &y,Big& z) const;
// point compression
// This sets the point from compressed form. cb is LSB of y/x
BOOL set(const Big& x,int cb=0) {return epoint2_set(x.getbig(),x.getbig(),cb,p);}
friend EC2 operator-(const EC2&);
friend void multi_add(int,EC2 *,EC2 *);
friend EC2 mul(const Big&, const EC2&, const Big&, const EC2&);
friend EC2 mul(int, const Big *, EC2 *);
friend void normalise(EC2 &e) {epoint2_norm(e.p);}
friend BOOL operator==(const EC2& a,const EC2& b)
{return epoint2_comp(a.p,b.p);}
friend BOOL operator!=(const EC2& a,const EC2& b)
{return (!epoint2_comp(a.p,b.p));}
friend EC2 operator*(const Big &,const EC2&);
#ifndef MR_NO_STANDARD_IO
friend ostream& operator<<(ostream&,const EC2&);
#endif
~EC2()
{
#ifndef GF2MS
mr_free(mem);
#endif
}
};
#endif