/*************************************************************************** * 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