/*************************************************************************** * 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 ZZn8.h * * AUTHOR : M. Scott * * NOTE: : Must be used in conjunction with zzn4.cpp zzn2.cpp big.cpp and zzn.cpp * : This is designed as a "towering extension", so a ZZn8 consists * : of a pair of ZZn4. An element looks like (a+x^2.b) + x(c+x^2.d) * * PURPOSE : Definition of class ZZn8 (Arithmetic over n^8) * * WARNING: This class has been cobbled together for a specific use with * the MIRACL library. It is not complete, and may not work in other * applications * */ #ifndef ZZN8_H #define ZZN8_H #include "zzn4.h" class ZZn8 { ZZn4 a,b; BOOL unitary; public: ZZn8() {unitary=FALSE;} ZZn8(int w) {a=(ZZn4)w; b=0; if (w==1) unitary=TRUE; else unitary=FALSE;} ZZn8(const ZZn8& w) {a=w.a; b=w.b; unitary=w.unitary; } ZZn8(const ZZn4 &x,const ZZn4& y) {a=x; b=y; unitary=FALSE;} ZZn8(const ZZn4 &x) {a=x; b=0; unitary=FALSE; } ZZn8(const ZZn &x) {a=x; b=0; unitary=FALSE;} ZZn8(const Big &x) {a=(ZZn)x; b=0; unitary=FALSE;} void set(const ZZn4 &x,const ZZn4 &y) {a=x; b=y; unitary=FALSE; } void set(const ZZn4 &x) {a=x; b=(ZZn4)0; unitary=FALSE;} void set(const Big &x) {a=(ZZn)x; b=(ZZn4)0; unitary=FALSE; } void get(ZZn4 &,ZZn4 &) const; void get(ZZn4 &) const; void clear() {a=0; b=0; unitary=FALSE;} void mark_as_unitary() {unitary=TRUE;} BOOL is_unitary() {return unitary;} BOOL iszero() const {if (a.iszero() && b.iszero()) return TRUE; return FALSE; } BOOL isunity() const {if (a.isunity() && b.iszero()) return TRUE; return FALSE; } // BOOL isminusone() const {if (a.isminusone() && b.iszero()) return TRUE; return FALSE; } ZZn8& powq(const ZZn2&); ZZn8& operator=(int i) {a=i; b=0; if (i==1) unitary=TRUE; else unitary=FALSE; return *this;} ZZn8& operator=(const ZZn& x) {a=x; b=0; unitary=FALSE; return *this; } ZZn8& operator=(const ZZn4& x) {a=x; b=0; unitary=FALSE; return *this; } ZZn8& operator=(const ZZn8& x) {a=x.a; b=x.b; unitary=x.unitary; return *this; } ZZn8& operator+=(const ZZn& x) {a+=x; unitary=FALSE; return *this; } ZZn8& operator+=(const ZZn4& x) {a+=x; unitary=FALSE; return *this; } ZZn8& operator+=(const ZZn8& x) {a+=x.a; b+=x.b; unitary=FALSE; return *this; } ZZn8& operator-=(const ZZn& x) {a-=x; unitary=FALSE; return *this; } ZZn8& operator-=(const ZZn4& x) {a-=x; unitary=FALSE; return *this; } ZZn8& operator-=(const ZZn8& x) {a-=x.a; b-=x.b; unitary=FALSE; return *this; } ZZn8& operator*=(const ZZn8&); ZZn8& operator*=(const ZZn4& x) {a*=x; b*=x; unitary=FALSE; return *this; } ZZn8& operator*=(const ZZn& x) {a*=x; b*=x; unitary=FALSE; return *this; } ZZn8& operator*=(int x) {a*=x; b*=x; unitary=FALSE; return *this;} ZZn8& operator/=(const ZZn8&); ZZn8& operator/=(const ZZn4&); ZZn8& operator/=(const ZZn&); ZZn8& operator/=(int); ZZn8& conj() {b=-b; return *this;} friend ZZn8 operator+(const ZZn8&,const ZZn8&); friend ZZn8 operator+(const ZZn8&,const ZZn4&); friend ZZn8 operator+(const ZZn8&,const ZZn&); friend ZZn8 operator-(const ZZn8&,const ZZn8&); friend ZZn8 operator-(const ZZn8&,const ZZn4&); friend ZZn8 operator-(const ZZn8&,const ZZn&); friend ZZn8 operator-(const ZZn8&); friend ZZn8 operator*(const ZZn8&,const ZZn8&); friend ZZn8 operator*(const ZZn8&,const ZZn4&); friend ZZn8 operator*(const ZZn8&,const ZZn&); friend ZZn8 operator*(const ZZn&,const ZZn8&); friend ZZn8 operator*(const ZZn4&,const ZZn8&); friend ZZn8 operator*(int,const ZZn8&); friend ZZn8 operator*(const ZZn8&,int); friend ZZn8 operator/(const ZZn8&,const ZZn8&); friend ZZn8 operator/(const ZZn8&,const ZZn4&); friend ZZn8 operator/(const ZZn8&,const ZZn&); friend ZZn8 operator/(const ZZn8&,int); friend ZZn8 rhs(const ZZn8&); friend ZZn4 real(const ZZn8& x) {return x.a;} friend ZZn4 imaginary(const ZZn8& x) {return x.b;} friend ZZn8 pow(const ZZn8&,const Big&); friend ZZn8 pow(int,const ZZn8*,const Big*); friend ZZn8 powl(const ZZn8&,const Big&); friend ZZn8 conj(const ZZn8&); friend ZZn8 tx(const ZZn8&); friend ZZn8 txd(const ZZn8&); friend ZZn8 tx2(const ZZn8&); friend ZZn8 inverse(const ZZn8&); #ifndef MR_NO_RAND friend ZZn8 randn8(void); // random ZZn8 #endif friend BOOL qr(const ZZn8&); friend ZZn8 sqrt(const ZZn8&); // square root - 0 if none exists friend BOOL operator==(const ZZn8& x,const ZZn8& y) {if (x.a==y.a && x.b==y.b) return TRUE; else return FALSE; } friend BOOL operator!=(const ZZn8& x,const ZZn8& y) {if (x.a!=y.a || x.b!=y.b) return TRUE; else return FALSE; } #ifndef MR_NO_STANDARD_IO friend ostream& operator<<(ostream&,const ZZn8&); #endif ~ZZn8() {} }; #ifndef MR_NO_RAND extern ZZn8 randn8(void); #endif #endif