/*************************************************************************** * 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 ZZn12a.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 ZZn12 consists * : of three ZZn4. * * PURPOSE : Definition of class zzn12 (Arithmetic over n^12) * * 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 * * Note: This code assumes that * p=5 mod 8 * OR p=3 mod 8 * OR p=7 mod 8, p=2,3 mod 5 * * Irreducible poly is X^3+n, where n=sqrt(w+sqrt(m)), m= {-1,-2} and w= {0,1,2} * if p=5 mod 8, n=sqrt(-2) * if p=3 mod 8, n=1+sqrt(-1) * if p=7 mod 8, p=2,3 mod 5, n=2+sqrt(-1) * */ #ifndef ZZN12A_H #define ZZN12A_H #include "zzn4.h" class ZZn12 { ZZn4 a,b,c; BOOL unitary; // "unitary property means that fast squaring can be used, and inversions are just conjugates BOOL miller; // "miller" property means that arithmetic on this instance can ignore multiplications // or divisions by constants - as instance will eventually be raised to (p-1). public: ZZn12() {miller=unitary=FALSE;} ZZn12(int w) {a=(ZZn4)w; b.clear(); c.clear(); miller=FALSE; if (w==1) unitary=TRUE; else unitary=FALSE;} ZZn12(const ZZn12& w) {a=w.a; b=w.b; c=w.c; miller=w.miller; unitary=w.unitary;} ZZn12(const ZZn4 &x) {a=x; b.clear(); c.clear(); miller=unitary=FALSE;} ZZn12(const ZZn4 &x,const ZZn4& y,const ZZn4& z) {a=x; b=y; c=z; miller=unitary=FALSE;} ZZn12(const ZZn &x) {a=(ZZn4)x; b.clear(); c.clear(); miller=unitary=FALSE;} ZZn12(const Big &x) {a=(ZZn4)x; b.clear(); c.clear(); miller=unitary=FALSE;} void set(const ZZn4 &x,const ZZn4 &y,const ZZn4 &z) {a=x; b=y; c=z; unitary=FALSE;} void set(const ZZn4 &x) {a=x; b.clear(); c.clear();unitary=FALSE;} void set(const ZZn4 &x,const ZZn4 &y) {a=x; b=y; c.clear();unitary=FALSE; } void set1(const ZZn4 &x) {a.clear(); b=x; c.clear();unitary=FALSE;} void set2(const ZZn4 &x) {a.clear(); b.clear(); c=x; unitary=FALSE;} void set(const Big &x) {a=(ZZn4)x; b.clear(); c.clear();unitary=FALSE;} void get(ZZn4 &,ZZn4 &,ZZn4 &) const; void get(ZZn4 &) const; void get1(ZZn4 &) const; void get2(ZZn4 &) const; void clear() {a.clear(); b.clear(); c.clear();} void mark_as_unitary() {miller=FALSE; unitary=TRUE;} void mark_as_miller() {miller=TRUE;} void mark_as_regular() {miller=unitary=FALSE;} BOOL is_unitary() {return unitary;} ZZn12& conj() {a.conj(); b.conj(); b=-b; c.conj(); return *this;} BOOL iszero() const {if (a.iszero() && b.iszero() && c.iszero()) return TRUE; return FALSE; } BOOL isunity() const {if (a.isunity() && b.iszero() && c.iszero()) return TRUE; return FALSE; } // BOOL isminusone() const {if (a.isminusone() && b.iszero()) return TRUE; return FALSE; } ZZn12& powq(const ZZn2&); ZZn12& operator=(int i) {a=i; b.clear(); c.clear(); if (i==1) unitary=TRUE; else unitary=FALSE; return *this;} ZZn12& operator=(const ZZn4& x) {a=x; b.clear(); c.clear(); unitary=FALSE; return *this; } ZZn12& operator=(const ZZn12& x) {a=x.a; b=x.b; c=x.c; miller=x.miller; unitary=x.unitary; return *this; } ZZn12& operator+=(const ZZn4& x) {a+=x; unitary=FALSE; return *this; } ZZn12& operator+=(const ZZn12& x) {a+=x.a; b+=x.b; c+=x.c; unitary=FALSE; return *this; } ZZn12& operator-=(const ZZn4& x) {a-=x; unitary=FALSE; return *this; } ZZn12& operator-=(const ZZn12& x) {a-=x.a; b-=x.b; c-=x.c; unitary=FALSE; return *this; } ZZn12& operator*=(const ZZn12&); ZZn12& operator*=(const ZZn4& x) {a*=x; b*=x; c*=x; unitary=FALSE; return *this; } ZZn12& operator*=(int x) {a*=x; b*=x; c*=x; unitary=FALSE; return *this;} ZZn12& operator/=(const ZZn12&); ZZn12& operator/=(const ZZn4&); friend ZZn12 operator+(const ZZn12&,const ZZn12&); friend ZZn12 operator+(const ZZn12&,const ZZn4&); friend ZZn12 operator-(const ZZn12&,const ZZn12&); friend ZZn12 operator-(const ZZn12&,const ZZn4&); friend ZZn12 operator-(const ZZn12&); friend ZZn12 operator*(const ZZn12&,const ZZn12&); friend ZZn12 operator*(const ZZn12&,const ZZn4&); friend ZZn12 operator*(const ZZn4&,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 ZZn4&); friend ZZn12 tx(const ZZn12&); friend ZZn12 pow(const ZZn12&,const Big&); friend ZZn12 pow(int,const ZZn12*,const Big*); // friend ZZn6 pow(int,const ZZn6*,const Big*); friend ZZn12 inverse(const ZZn12&); friend ZZn12 conj(const ZZn12&); #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 && x.c==y.c) return TRUE; else return FALSE; } friend BOOL operator!=(const ZZn12& x,const ZZn12& y) {if (x.a!=y.a || x.b!=y.b || x.c!=y.c) return TRUE; else return FALSE; } #ifndef MR_NO_STANDARD_IO friend ostream& operator<<(ostream&,const ZZn12&); #endif ~ZZn12() {} }; #ifndef MR_NO_RAND extern ZZn12 randn12(void); #endif #endif