bn128_g2.hpp

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#ifndef BN128_G2_HPP_
#define BN128_G2_HPP_
#include <iostream>
#include <vector>
 
#include "depends/ate-pairing/include/bn.h"
 
#include <libff/algebra/curves/bn128/bn128_init.hpp>
#include <libff/algebra/curves/curve_utils.hpp>
 
namespace libff {
 
class bn128_G2;
std::ostream& operator<<(std::ostream &, const bn128_G2&);
std::istream& operator>>(std::istream &, bn128_G2&);
 
class bn128_G2 {
private:
    static bn::Fp2 sqrt(const bn::Fp2 &el);
public:
#ifdef PROFILE_OP_COUNTS
    static long long add_cnt;
    static long long dbl_cnt;
#endif
    static std::vector<size_t> wnaf_window_table;
    static std::vector<size_t> fixed_base_exp_window_table;
    static bn128_G2 G2_zero;
    static bn128_G2 G2_one;
    static bool initialized;
 
    typedef bn128_Fq base_field;
    typedef bn128_Fr scalar_field;
 
    bn::Fp2 X, Y, Z;
    void fill_coord(bn::Fp2 coord[3]) const { coord[0] = this->X; coord[1] = this->Y; coord[2] = this->Z; };
 
    bn128_G2();
    bn128_G2(bn::Fp2 coord[3]) : X(coord[0]), Y(coord[1]), Z(coord[2]) {};
 
    void print() const;
    void print_coordinates() const;
 
    void to_affine_coordinates();
    void to_special();
    bool is_special() const;
 
    bool is_zero() const;
 
    bool operator==(const bn128_G2 &other) const;
    bool operator!=(const bn128_G2 &other) const;
 
    bn128_G2 operator+(const bn128_G2 &other) const;
    bn128_G2 operator-() const;
    bn128_G2 operator-(const bn128_G2 &other) const;
 
    bn128_G2 add(const bn128_G2 &other) const;
    bn128_G2 mixed_add(const bn128_G2 &other) const;
    bn128_G2 dbl() const;
 
    bool is_well_formed() const;
 
    static bn128_G2 zero();
    static bn128_G2 one();
    static bn128_G2 random_element();
 
    static size_t size_in_bits() { return 2*base_field::size_in_bits() + 1; }
    static bigint<base_field::num_limbs> base_field_char() { return base_field::field_char(); }
    static bigint<scalar_field::num_limbs> order() { return scalar_field::field_char(); }
 
    friend std::ostream& operator<<(std::ostream &out, const bn128_G2 &g);
    friend std::istream& operator>>(std::istream &in, bn128_G2 &g);
 
    static void batch_to_special_all_non_zeros(std::vector<bn128_G2> &vec);
};
 
template<mp_size_t m>
bn128_G2 operator*(const bigint<m> &lhs, const bn128_G2 &rhs)
{
    return scalar_mul<bn128_G2, m>(rhs, lhs);
}
 
template<mp_size_t m, const bigint<m>& modulus_p>
bn128_G2 operator*(const Fp_model<m, modulus_p> &lhs, const bn128_G2 &rhs)
{
    return scalar_mul<bn128_G2, m>(rhs, lhs.as_bigint());
}
 
} // libff
#endif // BN128_G2_HPP_