165 lines
7.3 KiB
C++
165 lines
7.3 KiB
C++
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/***************************************************************************
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*
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Copyright 2013 CertiVox UK Ltd. *
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*
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This file is part of CertiVox MIRACL Crypto SDK. *
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*
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The CertiVox MIRACL Crypto SDK provides developers with an *
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extensive and efficient set of cryptographic functions. *
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For further information about its features and functionalities please *
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refer to http://www.certivox.com *
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*
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* The CertiVox MIRACL Crypto SDK is free software: you can *
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redistribute it and/or modify it under the terms of the *
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GNU Affero General Public License as published by the *
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Free Software Foundation, either version 3 of the License, *
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or (at your option) any later version. *
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*
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* The CertiVox MIRACL Crypto SDK is distributed in the hope *
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that it will be useful, but WITHOUT ANY WARRANTY; without even the *
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implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. *
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See the GNU Affero General Public License for more details. *
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*
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* You should have received a copy of the GNU Affero General Public *
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License along with CertiVox MIRACL Crypto SDK. *
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If not, see <http://www.gnu.org/licenses/>. *
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*
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You can be released from the requirements of the license by purchasing *
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a commercial license. Buying such a license is mandatory as soon as you *
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develop commercial activities involving the CertiVox MIRACL Crypto SDK *
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without disclosing the source code of your own applications, or shipping *
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the CertiVox MIRACL Crypto SDK with a closed source product. *
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*
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***************************************************************************/
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/*
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* MIRACL C++ Header file ZZn8.h
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*
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* AUTHOR : M. Scott
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*
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* NOTE: : Must be used in conjunction with zzn4.cpp zzn2.cpp big.cpp and zzn.cpp
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* : This is designed as a "towering extension", so a ZZn8 consists
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* : of a pair of ZZn4. An element looks like (a+x^2.b) + x(c+x^2.d)
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*
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* PURPOSE : Definition of class ZZn8 (Arithmetic over n^8)
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*
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* WARNING: This class has been cobbled together for a specific use with
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* the MIRACL library. It is not complete, and may not work in other
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* applications
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*
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*/
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#ifndef ZZN8_H
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#define ZZN8_H
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#include "zzn4.h"
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class ZZn8
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{
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ZZn4 a,b;
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BOOL unitary;
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public:
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ZZn8() {unitary=FALSE;}
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ZZn8(int w) {a=(ZZn4)w; b=0; if (w==1) unitary=TRUE; else unitary=FALSE;}
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ZZn8(const ZZn8& w) {a=w.a; b=w.b; unitary=w.unitary; }
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ZZn8(const ZZn4 &x,const ZZn4& y) {a=x; b=y; unitary=FALSE;}
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ZZn8(const ZZn4 &x) {a=x; b=0; unitary=FALSE; }
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ZZn8(const ZZn &x) {a=x; b=0; unitary=FALSE;}
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ZZn8(const Big &x) {a=(ZZn)x; b=0; unitary=FALSE;}
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void set(const ZZn4 &x,const ZZn4 &y) {a=x; b=y; unitary=FALSE; }
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void set(const ZZn4 &x) {a=x; b=(ZZn4)0; unitary=FALSE;}
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void set(const Big &x) {a=(ZZn)x; b=(ZZn4)0; unitary=FALSE; }
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void get(ZZn4 &,ZZn4 &) const;
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void get(ZZn4 &) const;
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void clear() {a=0; b=0; unitary=FALSE;}
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void mark_as_unitary() {unitary=TRUE;}
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BOOL is_unitary() {return unitary;}
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BOOL iszero() const {if (a.iszero() && b.iszero()) return TRUE; return FALSE; }
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BOOL isunity() const {if (a.isunity() && b.iszero()) return TRUE; return FALSE; }
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// BOOL isminusone() const {if (a.isminusone() && b.iszero()) return TRUE; return FALSE; }
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ZZn8& powq(const ZZn2&);
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ZZn8& operator=(int i) {a=i; b=0; if (i==1) unitary=TRUE; else unitary=FALSE; return *this;}
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ZZn8& operator=(const ZZn& x) {a=x; b=0; unitary=FALSE; return *this; }
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ZZn8& operator=(const ZZn4& x) {a=x; b=0; unitary=FALSE; return *this; }
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ZZn8& operator=(const ZZn8& x) {a=x.a; b=x.b; unitary=x.unitary; return *this; }
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ZZn8& operator+=(const ZZn& x) {a+=x; unitary=FALSE; return *this; }
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ZZn8& operator+=(const ZZn4& x) {a+=x; unitary=FALSE; return *this; }
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ZZn8& operator+=(const ZZn8& x) {a+=x.a; b+=x.b; unitary=FALSE; return *this; }
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ZZn8& operator-=(const ZZn& x) {a-=x; unitary=FALSE; return *this; }
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ZZn8& operator-=(const ZZn4& x) {a-=x; unitary=FALSE; return *this; }
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ZZn8& operator-=(const ZZn8& x) {a-=x.a; b-=x.b; unitary=FALSE; return *this; }
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ZZn8& operator*=(const ZZn8&);
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ZZn8& operator*=(const ZZn4& x) {a*=x; b*=x; unitary=FALSE; return *this; }
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ZZn8& operator*=(const ZZn& x) {a*=x; b*=x; unitary=FALSE; return *this; }
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ZZn8& operator*=(int x) {a*=x; b*=x; unitary=FALSE; return *this;}
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ZZn8& operator/=(const ZZn8&);
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ZZn8& operator/=(const ZZn4&);
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ZZn8& operator/=(const ZZn&);
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ZZn8& operator/=(int);
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ZZn8& conj() {b=-b; return *this;}
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friend ZZn8 operator+(const ZZn8&,const ZZn8&);
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friend ZZn8 operator+(const ZZn8&,const ZZn4&);
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friend ZZn8 operator+(const ZZn8&,const ZZn&);
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friend ZZn8 operator-(const ZZn8&,const ZZn8&);
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friend ZZn8 operator-(const ZZn8&,const ZZn4&);
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friend ZZn8 operator-(const ZZn8&,const ZZn&);
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friend ZZn8 operator-(const ZZn8&);
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friend ZZn8 operator*(const ZZn8&,const ZZn8&);
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friend ZZn8 operator*(const ZZn8&,const ZZn4&);
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friend ZZn8 operator*(const ZZn8&,const ZZn&);
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friend ZZn8 operator*(const ZZn&,const ZZn8&);
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friend ZZn8 operator*(const ZZn4&,const ZZn8&);
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friend ZZn8 operator*(int,const ZZn8&);
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friend ZZn8 operator*(const ZZn8&,int);
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friend ZZn8 operator/(const ZZn8&,const ZZn8&);
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friend ZZn8 operator/(const ZZn8&,const ZZn4&);
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friend ZZn8 operator/(const ZZn8&,const ZZn&);
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friend ZZn8 operator/(const ZZn8&,int);
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friend ZZn8 rhs(const ZZn8&);
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friend ZZn4 real(const ZZn8& x) {return x.a;}
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friend ZZn4 imaginary(const ZZn8& x) {return x.b;}
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friend ZZn8 pow(const ZZn8&,const Big&);
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friend ZZn8 pow(int,const ZZn8*,const Big*);
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friend ZZn8 powl(const ZZn8&,const Big&);
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friend ZZn8 conj(const ZZn8&);
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friend ZZn8 tx(const ZZn8&);
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friend ZZn8 txd(const ZZn8&);
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friend ZZn8 tx2(const ZZn8&);
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friend ZZn8 inverse(const ZZn8&);
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#ifndef MR_NO_RAND
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friend ZZn8 randn8(void); // random ZZn8
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#endif
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friend BOOL qr(const ZZn8&);
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friend ZZn8 sqrt(const ZZn8&); // square root - 0 if none exists
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friend BOOL operator==(const ZZn8& x,const ZZn8& y)
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{if (x.a==y.a && x.b==y.b) return TRUE; else return FALSE; }
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friend BOOL operator!=(const ZZn8& x,const ZZn8& y)
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{if (x.a!=y.a || x.b!=y.b) return TRUE; else return FALSE; }
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#ifndef MR_NO_STANDARD_IO
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friend ostream& operator<<(ostream&,const ZZn8&);
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#endif
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~ZZn8() {}
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};
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#ifndef MR_NO_RAND
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extern ZZn8 randn8(void);
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#endif
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#endif
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