/*************************************************************************** * 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 ecn.h * * AUTHOR : M. Scott * * PURPOSE : Definition of class ECn (Arithmetic on an Elliptic Curve, * mod n) * * NOTE : Must be used in conjunction with ecn.cpp and big.cpp * The active curve is set dynamically (via the Big ecurve() * routine) - so beware the pitfalls implicit in declaring * static or global ECn's (which are initialised before the * curve is set!). Uninitialised data is OK * */ #ifndef ECN_H #define ECN_H #include #include "big.h" #ifdef ZZNS #define MR_INIT_ECN memset(mem,0,mr_ecp_reserve(1,ZZNS)); p=(epoint *)epoint_init_mem_variable(mem,0,ZZNS); #else #define MR_INIT_ECN mem=(char *)ecp_memalloc(1); p=(epoint *)epoint_init_mem(mem,0); #endif class ECn { epoint *p; #ifdef ZZNS char mem[mr_ecp_reserve(1,ZZNS)]; #else char *mem; #endif public: ECn() {MR_INIT_ECN } ECn(const Big &x,const Big& y) {MR_INIT_ECN epoint_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 (0 or 1) #ifndef MR_SUPPORT_COMPRESSION ECn(const Big& x,int cb) {MR_INIT_ECN epoint_set(x.getbig(),x.getbig(),cb,p); } #endif ECn(const ECn &b) {MR_INIT_ECN epoint_copy(b.p,p);} epoint *get_point() const; int get_status() {return p->marker;} ECn& operator=(const ECn& b) {epoint_copy(b.p,p);return *this;} ECn& operator+=(const ECn& b) {ecurve_add(b.p,p); return *this;} int add(const ECn&,big *,big *ex1=NULL,big *ex2=NULL) const; // returns line slope as a big int sub(const ECn&,big *,big *ex1=NULL,big *ex2=NULL) const; ECn& operator-=(const ECn& b) {ecurve_sub(b.p,p); return *this;} // Multiplication of a point by an integer. ECn& operator*=(const Big& k) {ecurve_mult(k.getbig(),p,p); return *this;} void clear() {epoint_set(NULL,NULL,0,p);} BOOL set(const Big& x,const Big& y) {return epoint_set(x.getbig(),y.getbig(),0,p);} #ifndef MR_AFFINE_ONLY // use with care if at all void setz(const Big& z) {nres(z.getbig(),p->Z); p->marker=MR_EPOINT_GENERAL;} #endif BOOL iszero() const; int get(Big& x,Big& y) const; // This gets the point in compressed form. Return value is LSB of y-coordinate int get(Big& x) const; // get raw coordinates 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 coordinate #ifndef MR_SUPPORT_COMPRESSION BOOL set(const Big& x,int cb=0) {return epoint_set(x.getbig(),x.getbig(),cb,p);} #endif friend ECn operator-(const ECn&); friend void multi_add(int,ECn *,ECn *); friend void double_add(ECn&,ECn&,ECn&,ECn&,big&,big&); friend ECn mul(const Big&, const ECn&, const Big&, const ECn&); friend ECn mul(int, const Big *, ECn *); friend void normalise(ECn &e) {epoint_norm(e.p);} friend void multi_norm(int,ECn *); friend BOOL operator==(const ECn& a,const ECn& b) {return epoint_comp(a.p,b.p);} friend BOOL operator!=(const ECn& a,const ECn& b) {return (!epoint_comp(a.p,b.p));} friend ECn operator*(const Big &,const ECn&); #ifndef MR_NO_STANDARD_IO friend ostream& operator<<(ostream&,const ECn&); #endif ~ECn() { #ifndef ZZNS mr_free(mem); #endif } }; #endif