mnt4_pp.hpp

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#ifndef MNT4_PP_HPP_
#define MNT4_PP_HPP_
 
#include <libff/algebra/curves/mnt/mnt4/mnt4_g1.hpp>
#include <libff/algebra/curves/mnt/mnt4/mnt4_g2.hpp>
#include <libff/algebra/curves/mnt/mnt4/mnt4_init.hpp>
#include <libff/algebra/curves/mnt/mnt4/mnt4_pairing.hpp>
#include <libff/algebra/curves/public_params.hpp>
 
namespace libff
{
 
class mnt4_pp
{
public:
    static const std::string name;
 
    typedef mnt4_Fr Fp_type;
    typedef mnt4_G1 G1_type;
    typedef mnt4_G2 G2_type;
    typedef mnt4_G1_precomp G1_precomp_type;
    typedef mnt4_G2_precomp G2_precomp_type;
    typedef mnt4_affine_ate_G1_precomputation affine_ate_G1_precomp_type;
    typedef mnt4_affine_ate_G2_precomputation affine_ate_G2_precomp_type;
    typedef mnt4_Fq Fq_type;
    typedef mnt4_Fq2 Fqe_type;
    typedef mnt4_Fq4 Fqk_type;
    typedef mnt4_GT GT_type;
 
    static const bool has_affine_pairing = true;
 
    static void init_public_params();
    static mnt4_GT final_exponentiation(const mnt4_Fq4 &elt);
 
    static mnt4_G1_precomp precompute_G1(const mnt4_G1 &P);
    static mnt4_G2_precomp precompute_G2(const mnt4_G2 &Q);
 
    static mnt4_Fq4 miller_loop(
        const mnt4_G1_precomp &prec_P, const mnt4_G2_precomp &prec_Q);
 
    static mnt4_affine_ate_G1_precomputation affine_ate_precompute_G1(
        const mnt4_G1 &P);
    static mnt4_affine_ate_G2_precomputation affine_ate_precompute_G2(
        const mnt4_G2 &Q);
    static mnt4_Fq4 affine_ate_miller_loop(
        const mnt4_affine_ate_G1_precomputation &prec_P,
        const mnt4_affine_ate_G2_precomputation &prec_Q);
 
    static mnt4_Fq4 affine_ate_e_over_e_miller_loop(
        const mnt4_affine_ate_G1_precomputation &prec_P1,
        const mnt4_affine_ate_G2_precomputation &prec_Q1,
        const mnt4_affine_ate_G1_precomputation &prec_P2,
        const mnt4_affine_ate_G2_precomputation &prec_Q2);
    static mnt4_Fq4 affine_ate_e_times_e_over_e_miller_loop(
        const mnt4_affine_ate_G1_precomputation &prec_P1,
        const mnt4_affine_ate_G2_precomputation &prec_Q1,
        const mnt4_affine_ate_G1_precomputation &prec_P2,
        const mnt4_affine_ate_G2_precomputation &prec_Q2,
        const mnt4_affine_ate_G1_precomputation &prec_P3,
        const mnt4_affine_ate_G2_precomputation &prec_Q3);
 
    static mnt4_Fq4 double_miller_loop(
        const mnt4_G1_precomp &prec_P1,
        const mnt4_G2_precomp &prec_Q1,
        const mnt4_G1_precomp &prec_P2,
        const mnt4_G2_precomp &prec_Q2);
 
    /* the following are used in test files */
    static mnt4_Fq4 pairing(const mnt4_G1 &P, const mnt4_G2 &Q);
    static mnt4_Fq4 reduced_pairing(const mnt4_G1 &P, const mnt4_G2 &Q);
    static mnt4_Fq4 affine_reduced_pairing(const mnt4_G1 &P, const mnt4_G2 &Q);
};
 
} // namespace libff
 
#endif // MNT4_PP_HPP_