178 lines
8.5 KiB
C++
178 lines
8.5 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 ZZn6a.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 zzn6a.cpp zzn2.cpp big.cpp and zzn.cpp
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* : This is designed as a "towering extension", so a ZZn6 consists
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* : of three ZZn2.
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*
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* PURPOSE : Definition of class zzn6 (Arithmetic over n^6)
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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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* Note: This code assumes that
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* p=5 mod 8
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* OR p=3 mod 8
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* OR p=7 mod 8, p=2,3 mod 5
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*
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* Irreducible poly is X^3-n, where n=w+sqrt(m), m= {-1,-2} and w= {0,1,2}
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* if p=5 mod 8, n=sqrt(-2)
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* if p=3 mod 8, n=1+sqrt(-1)
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* if p=7 mod 8, p=2,3 mod 5, n=2+sqrt(-1)
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*
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*/
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#ifndef ZZN6A_H
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#define ZZN6A_H
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#include "zzn2.h"
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class ZZn6
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{
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ZZn2 a,b,c;
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BOOL unitary; // "unitary" property means that fast squaring can be used, and inversions are just conjugates
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BOOL miller; // "miller" property means that arithmetic on this instance can ignore multiplications
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// or divisions by constants - as instance will eventually be raised to (p-1).
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public:
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ZZn6() {miller=unitary=FALSE;}
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ZZn6(int w) {a=(ZZn2)w; b.clear(); c.clear(); miller=FALSE; if (w==1) unitary=TRUE; else unitary=FALSE;}
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ZZn6(const ZZn6& w) {a=w.a; b=w.b; c=w.c; miller=w.miller; unitary=w.unitary;}
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ZZn6(const ZZn2 &x) {a=x; b.clear(); c.clear(); miller=unitary=FALSE; }
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ZZn6(const ZZn2 &x,const ZZn2& y,const ZZn2& z) {a=x; b=y; c=z; miller=unitary=FALSE; }
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ZZn6(const ZZn &x) {a=(ZZn2)x; b.clear(); c.clear(); miller=unitary=FALSE; }
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ZZn6(const Big &x) {a=(ZZn2)x; b.clear(); c.clear(); miller=unitary=FALSE; }
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void set(const ZZn2 &x,const ZZn2 &y,const ZZn2 &z) {a=x; b=y; c=z; unitary=FALSE; }
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void set(const ZZn2 &x) {a=x; b.clear(); c.clear(); unitary=FALSE; }
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void set(const ZZn2 &x,const ZZn2 &y) {a=x; b=y; c.clear(); unitary=FALSE; }
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void set1(const ZZn2 &x) {a.clear(); b=x; c.clear(); unitary=FALSE; }
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void set2(const ZZn2 &x) {a.clear(); b.clear(); c=x; unitary=FALSE; }
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void set(const Big &x) {a=(ZZn2)x; b.clear(); c.clear(); unitary=FALSE; }
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void get(ZZn2 &,ZZn2 &,ZZn2 &) const;
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void get(ZZn2 &) const;
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void get1(ZZn2 &) const;
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void get2(ZZn2 &) const;
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void clear() {a.clear(); b.clear(); c.clear(); unitary=FALSE; }
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void mark_as_unitary() {miller=FALSE; unitary=TRUE;}
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void mark_as_miller() {miller=TRUE;}
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BOOL is_unitary() {return unitary;}
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ZZn6& conj() {a.conj(); b.conj(); b=-b; c.conj(); return *this;}
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BOOL iszero() const {if (a.iszero() && b.iszero() && c.iszero()) return TRUE; return FALSE; }
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BOOL isunity() const {if (a.isunity() && b.iszero() && c.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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ZZn6& powq(const ZZn2&);
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ZZn6& operator=(int i) {a=i; b.clear(); c.clear(); if (i==1) unitary=TRUE; else unitary=FALSE; return *this;}
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ZZn6& operator=(const ZZn& x) {a=(ZZn2)x; b.clear(); c.clear(); unitary=FALSE; return *this; }
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ZZn6& operator=(const ZZn2& x) {a=x; b.clear(); c.clear(); unitary=FALSE; return *this; }
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ZZn6& operator=(const ZZn6& x) {a=x.a; b=x.b; c=x.c; miller=x.miller; unitary=x.unitary; return *this; }
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ZZn6& operator+=(const ZZn& x) {a+=(ZZn2)x; unitary=FALSE; return *this; }
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ZZn6& operator+=(const ZZn2& x) {a+=x; unitary=FALSE; return *this; }
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ZZn6& operator+=(const ZZn6& x) {a+=x.a; b+=x.b; c+=x.c; unitary=FALSE; return *this; }
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ZZn6& operator-=(const ZZn& x) {a-=(ZZn2)x; unitary=FALSE; return *this; }
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ZZn6& operator-=(const ZZn2& x) {a-=x; unitary=FALSE; return *this; }
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ZZn6& operator-=(const ZZn6& x) {a-=x.a; b-=x.b; c-=x.c; unitary=FALSE; return *this; }
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ZZn6& operator*=(const ZZn6&);
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ZZn6& operator*=(const ZZn2& x) {a*=x; b*=x; c*=x; unitary=FALSE; return *this; }
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ZZn6& operator*=(const ZZn& x) {a*=x; b*=x; c*=x; unitary=FALSE; return *this; }
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ZZn6& operator*=(int x) {a*=x; b*=x; c*=x; unitary=FALSE; return *this;}
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ZZn6& operator/=(const ZZn6&);
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ZZn6& operator/=(const ZZn2&);
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ZZn6& operator/=(const ZZn&);
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ZZn6& operator/=(int);
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friend ZZn6 operator+(const ZZn6&,const ZZn6&);
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friend ZZn6 operator+(const ZZn6&,const ZZn2&);
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friend ZZn6 operator+(const ZZn6&,const ZZn&);
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friend ZZn6 operator-(const ZZn6&,const ZZn6&);
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friend ZZn6 operator-(const ZZn6&,const ZZn2&);
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friend ZZn6 operator-(const ZZn6&,const ZZn&);
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friend ZZn6 operator-(const ZZn6&);
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friend ZZn6 operator*(const ZZn6&,const ZZn6&);
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friend ZZn6 operator*(const ZZn6&,const ZZn2&);
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friend ZZn6 operator*(const ZZn6&,const ZZn&);
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friend ZZn6 operator*(const ZZn&,const ZZn6&);
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friend ZZn6 operator*(const ZZn2&,const ZZn6&);
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friend ZZn6 operator*(int,const ZZn6&);
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friend ZZn6 operator*(const ZZn6&,int);
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friend ZZn6 operator/(const ZZn6&,const ZZn6&);
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friend ZZn6 operator/(const ZZn6&,const ZZn2&);
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friend ZZn6 operator/(const ZZn6&,const ZZn&);
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friend ZZn6 operator/(const ZZn6&,int);
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friend ZZn6 tx(const ZZn6&);
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friend ZZn6 pow(const ZZn6&,const Big&);
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friend ZZn6 powu(const ZZn6&,const Big&);
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friend ZZn6 powu(const ZZn6&,const Big&,const ZZn6&,const Big&);
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friend ZZn6 conj(const ZZn6&);
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// friend ZZn6 pow(int,const ZZn6*,const Big*);
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friend ZZn6 powl(const ZZn6&,const Big&);
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friend ZZn6 powl(const ZZn6&,const Big&,const ZZn6&,const Big&,const ZZn6&);
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friend ZZn6 inverse(const ZZn6&);
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#ifndef MR_NO_RAND
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friend ZZn6 randn6(void); // random ZZn6
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#endif
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friend BOOL operator==(const ZZn6& x,const ZZn6& y)
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{if (x.a==y.a && x.b==y.b && x.c==y.c) return TRUE; else return FALSE; }
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friend BOOL operator!=(const ZZn6& x,const ZZn6& y)
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{if (x.a!=y.a || x.b!=y.b || x.c!=y.c) return TRUE; else return FALSE; }
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#ifndef MR_NO_STANDARD_IO
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friend ostream& operator<<(ostream&,const ZZn6&);
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#endif
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~ZZn6() {}
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};
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#ifndef MR_NO_RAND
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extern ZZn6 randn6(void);
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#endif
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#endif
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