/*************************************************************************** * 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 ZZn12b.h * * AUTHOR : M. Scott * * NOTE: : Must be used in conjunction with big.cpp, zzn.cpp and zzn3.cpp and zzn6.cpp, * uses 1-3-6-12 towering, and assumes 12|p-1 * PURPOSE : Definition of class ZZn12 (Arithmetic over n^12) * Implemented as a quadratic entension over Fp^6 * * * 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 ZZN12_H #define ZZN12_H #include "zzn6.h" class ZZn12 { ZZn6 a,b; BOOL unitary; public: ZZn12() {unitary=FALSE;} ZZn12(int w) {a=(ZZn6)w; b.clear(); if (w==1) unitary=TRUE; else unitary=FALSE;} ZZn12(const ZZn12& w) {a=w.a; b=w.b; unitary=w.unitary;} ZZn12(const Big &x) {a=(ZZn6)x; b.clear(); unitary=FALSE;} ZZn12(const ZZn &x) {a=(ZZn6)x; b.clear(); unitary=FALSE;} ZZn12(const ZZn6& x) {a=x; b.clear(); unitary=FALSE;} ZZn12(const ZZn6& x,const ZZn6& y) {a=x; b=y; unitary=FALSE;} void set(const ZZn6 &x,const ZZn6 &y) {a=x; b=y; unitary=FALSE;} void set(const Big &x) {a=(ZZn6)x; b.clear(); unitary=FALSE;} void set(const ZZn6 &x) {a=x; b.clear(); unitary=FALSE;} void seti(const ZZn6 &x) {a.clear(); b=x; unitary=FALSE;} void get(ZZn6 &,ZZn6 &) const; void get(ZZn6 &) const; void geti(ZZn6 &) const; void clear() {a.clear(); b.clear(); unitary=FALSE;} void mark_as_unitary() {unitary=TRUE;} BOOL is_unitary() {return unitary;} ZZn12& conj() {b=-b; return *this;} BOOL iszero() const {if (a.iszero() && b.iszero()) return TRUE; return FALSE; } BOOL isunity() const {if (a.isunity() && b.iszero()) return TRUE; return FALSE; } ZZn12& powq(const ZZn &); ZZn12& operator=(int i) {a=(ZZn6)i; b.clear(); if (i==1) unitary=TRUE; else unitary=FALSE; return *this;} ZZn12& operator=(const ZZn6& x) {a=x; b.clear(); unitary=FALSE; return *this; } ZZn12& operator=(const ZZn12& x) {a=x.a; b=x.b; unitary=x.unitary; return *this; } ZZn12& operator+=(const ZZn6& x) {a+=x; unitary=FALSE; return *this; } ZZn12& operator+=(const ZZn12& x) {a+=x.a; b+=x.b; unitary=FALSE; return *this; } ZZn12& operator-=(const ZZn6& x) {a-=x; unitary=FALSE; return *this; } ZZn12& operator-=(const ZZn12& x) {a-=x.a; b-=x.b; unitary=FALSE; return *this; } ZZn12& operator*=(const ZZn12&); ZZn12& operator*=(const ZZn6& x) { a*=x; b*=x; unitary=FALSE; return *this;} ZZn12& operator*=(const ZZn& x) { a*=x; b*=x; unitary=FALSE; return *this;} ZZn12& operator*=(int x) { a*=x; b*=x; unitary=FALSE; return *this;} ZZn12& operator/=(const ZZn12&); ZZn12& operator/=(const ZZn6&); friend ZZn12 tx(const ZZn12&); friend ZZn12 tx2(const ZZn12&); friend ZZn12 tx4(const ZZn12&); friend ZZn12 tx8(const ZZn12&); friend ZZn12 operator+(const ZZn12&,const ZZn12&); friend ZZn12 operator+(const ZZn12&,const ZZn6&); friend ZZn12 operator-(const ZZn12&,const ZZn12&); friend ZZn12 operator-(const ZZn12&,const ZZn6&); friend ZZn12 operator-(const ZZn12&); friend ZZn12 operator*(const ZZn12&,const ZZn12&); friend ZZn12 operator*(const ZZn12&,const ZZn6&); friend ZZn12 operator*(const ZZn6&,const ZZn12&); friend ZZn12 operator*(int,const ZZn12&); friend ZZn12 operator*(const ZZn12&,int); friend ZZn12 operator/(const ZZn12&,const ZZn12&); friend ZZn12 operator/(const ZZn12&,const ZZn6&); friend ZZn12 pow(const ZZn12&,const Big&); friend ZZn12 pow(const ZZn12&,const Big*); friend ZZn12 pow(const ZZn12*,const ZZn12&,const Big&); friend ZZn12 pow(int,const ZZn12*,const Big*); friend void precompute(const ZZn12&,ZZn12 *); friend ZZn12 inverse(const ZZn12&); friend ZZn12 conj(const ZZn12&); friend ZZn6 real(const ZZn12& x) {return x.a;} friend ZZn6 imaginary(const ZZn12& x) {return x.b;} #ifndef MR_NO_RAND friend ZZn12 randn12(void); // random ZZn12 #endif friend BOOL operator==(const ZZn12& x,const ZZn12& y) {if (x.a==y.a && x.b==y.b) return TRUE; else return FALSE; } friend BOOL operator!=(const ZZn12& x,const ZZn12& y) {if (x.a!=y.a || x.b!=y.b) return TRUE; else return FALSE; } #ifndef MR_NO_STANDARD_IO friend ostream& operator<<(ostream&,ZZn12&); #endif ~ZZn12() {} }; #ifndef MR_NO_RAND extern ZZn12 randn12(void); #endif #endif