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#include <mcl/bn256.hpp>
#include <stdint.h>
#include <sstream>
void SystemInit() throw(std::exception)
{
mcl::bn256::initPairing();
}
class G1;
class G2;
class GT;
/*
Fr = Z / rZ
*/
class Fr {
mcl::bn256::Fr self_;
friend class G1;
friend class G2;
friend class GT;
friend void neg(Fr& y, const Fr& x);
friend void add(Fr& z, const Fr& x, const Fr& y);
friend void sub(Fr& z, const Fr& x, const Fr& y);
friend void mul(Fr& z, const Fr& x, const Fr& y);
friend void mul(G1& z, const G1& x, const Fr& y);
friend void mul(G2& z, const G2& x, const Fr& y);
friend void div(Fr& z, const Fr& x, const Fr& y);
friend void pow(GT& z, const GT& x, const Fr& y);
public:
Fr() {}
Fr(const Fr& rhs) : self_(rhs.self_) {}
Fr(int x) : self_(x) {}
Fr(const std::string& str) throw(std::exception)
: self_(str) {}
bool equals(const Fr& rhs) const { return self_ == rhs.self_; }
void setStr(const std::string& str) throw(std::exception)
{
self_.setStr(str);
}
void setInt(int x)
{
self_ = x;
}
void clear()
{
self_.clear();
}
void setRand()
{
self_.setRand(Param::getParam().rg);
}
std::string toString() const throw(std::exception)
{
return self_.getStr();
}
};
void neg(Fr& y, const Fr& x)
{
mcl::bn256::Fr::neg(y.self_, x.self_);
}
void add(Fr& z, const Fr& x, const Fr& y)
{
mcl::bn256::Fr::add(z.self_, x.self_, y.self_);
}
void sub(Fr& z, const Fr& x, const Fr& y)
{
mcl::bn256::Fr::sub(z.self_, x.self_, y.self_);
}
void mul(Fr& z, const Fr& x, const Fr& y)
{
mcl::bn256::Fr::mul(z.self_, x.self_, y.self_);
}
void div(Fr& z, const Fr& x, const Fr& y)
{
mcl::bn256::Fr::div(z.self_, x.self_, y.self_);
}
/*
#G1 = r
*/
class G1 {
mcl::bn256::G1 self_;
friend void neg(G1& y, const G1& x);
friend void dbl(G1& y, const G1& x);
friend void add(G1& z, const G1& x, const G1& y);
friend void sub(G1& z, const G1& x, const G1& y);
friend void mul(G1& z, const G1& x, const Fr& y);
friend void pairing(GT& e, const G1& P, const G2& Q);
public:
G1() {}
G1(const G1& rhs) : self_(rhs.self_) {}
G1(const std::string& x, const std::string& y) throw(std::exception)
: self_(mcl::bn256::Fp(x), mcl::bn256::Fp(y))
{
}
bool equals(const G1& rhs) const { return self_ == rhs.self_; }
void set(const std::string& x, const std::string& y)
{
self_.set(mcl::bn256::Fp(x), mcl::bn256::Fp(y));
}
void hashAndMapToG1(const std::string& m) throw(std::exception)
{
HashAndMapToG1(self_, m);
}
void clear()
{
self_.clear();
}
/*
compressed format
*/
void setStr(const std::string& str) throw(std::exception)
{
self_.setStr(str);
}
std::string toString() const throw(std::exception)
{
return self_.getStr();
}
};
void neg(G1& y, const G1& x)
{
mcl::bn256::G1::neg(y.self_, x.self_);
}
void dbl(G1& y, const G1& x)
{
mcl::bn256::G1::dbl(y.self_, x.self_);
}
void add(G1& z, const G1& x, const G1& y)
{
mcl::bn256::G1::add(z.self_, x.self_, y.self_);
}
void sub(G1& z, const G1& x, const G1& y)
{
mcl::bn256::G1::sub(z.self_, x.self_, y.self_);
}
void mul(G1& z, const G1& x, const Fr& y)
{
mcl::bn256::G1::mul(z.self_, x.self_, y.self_);
}
/*
#G2 = r
*/
class G2 {
mcl::bn256::G2 self_;
friend void neg(G2& y, const G2& x);
friend void dbl(G2& y, const G2& x);
friend void add(G2& z, const G2& x, const G2& y);
friend void sub(G2& z, const G2& x, const G2& y);
friend void mul(G2& z, const G2& x, const Fr& y);
friend void pairing(GT& e, const G1& P, const G2& Q);
public:
G2() {}
G2(const G2& rhs) : self_(rhs.self_) {}
G2(const std::string& xa, const std::string& xb, const std::string& ya, const std::string& yb) throw(std::exception)
: self_(mcl::bn256::Fp2(xa, xb), mcl::bn256::Fp2(ya, yb))
{
}
bool equals(const G2& rhs) const { return self_ == rhs.self_; }
void set(const std::string& xa, const std::string& xb, const std::string& ya, const std::string& yb)
{
self_.set(mcl::bn256::Fp2(xa, xb), mcl::bn256::Fp2(ya, yb));
}
void clear()
{
self_.clear();
}
/*
compressed format
*/
void setStr(const std::string& str) throw(std::exception)
{
self_.setStr(str);
}
std::string toString() const throw(std::exception)
{
return self_.getStr();
}
};
void neg(G2& y, const G2& x)
{
mcl::bn256::G2::neg(y.self_, x.self_);
}
void dbl(G2& y, const G2& x)
{
mcl::bn256::G2::dbl(y.self_, x.self_);
}
void add(G2& z, const G2& x, const G2& y)
{
mcl::bn256::G2::add(z.self_, x.self_, y.self_);
}
void sub(G2& z, const G2& x, const G2& y)
{
mcl::bn256::G2::sub(z.self_, x.self_, y.self_);
}
void mul(G2& z, const G2& x, const Fr& y)
{
mcl::bn256::G2::mul(z.self_, x.self_, y.self_);
}
/*
#GT = r
*/
class GT {
mcl::bn256::Fp12 self_;
friend void mul(GT& z, const GT& x, const GT& y);
friend void pow(GT& z, const GT& x, const Fr& y);
friend void pairing(GT& e, const G1& P, const G2& Q);
public:
GT() {}
GT(const GT& rhs) : self_(rhs.self_) {}
bool equals(const GT& rhs) const { return self_ == rhs.self_; }
void clear()
{
self_.clear();
}
void setStr(const std::string& str) throw(std::exception)
{
std::istringstream iss(str);
iss >> self_;
}
std::string toString() const throw(std::exception)
{
std::ostringstream oss;
oss << self_;
return oss.str();
}
};
void mul(GT& z, const GT& x, const GT& y)
{
mcl::bn256::Fp12::mul(z.self_, x.self_, y.self_);
}
void pow(GT& z, const GT& x, const Fr& y)
{
mcl::bn256::Fp12::pow(z.self_, x.self_, y.self_);
}
void pairing(GT& e, const G1& P, const G2& Q)
{
mcl::bn256::pairing(e.self_, P.self_, Q.self_);
}
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