📄 zzn12.h
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/*
* MIRACL C++ Header file ZZn12.h
*
* AUTHOR : M. Scott
*
* NOTE: : Must be used in conjunction with big.cpp, zzn.cpp and zzn2.cpp and zzn6.cpp,
*
* 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
*
*
* Copyright (c) 2006 Shamus Software Ltd.
*/
#ifndef ZZN12_H
#define ZZN12_H
#include "zzn6a.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;}
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 &);
void get(ZZn6 &) ;
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 ZZn12 &);
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*=(int x) { a*=x; b*=x; unitary=FALSE; return *this;}
ZZn12& operator/=(const ZZn12&);
ZZn12& operator/=(const ZZn6&);
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
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