8#ifndef ALT_BN128_PP_HPP_ 
    9#define ALT_BN128_PP_HPP_ 
static alt_bn128_G1_precomp precompute_G1(const alt_bn128_G1 &P)
 
static alt_bn128_G2_precomp precompute_G2(const alt_bn128_G2 &Q)
 
static alt_bn128_Fq12 miller_loop(const alt_bn128_G1_precomp &prec_P, const alt_bn128_G2_precomp &prec_Q)
 
static alt_bn128_Fq12 double_miller_loop(const alt_bn128_G1_precomp &prec_P1, const alt_bn128_G2_precomp &prec_Q1, const alt_bn128_G1_precomp &prec_P2, const alt_bn128_G2_precomp &prec_Q2)
 
static void init_public_params()
 
static alt_bn128_Fq12 reduced_pairing(const alt_bn128_G1 &P, const alt_bn128_G2 &Q)
 
static const bool has_affine_pairing
 
static alt_bn128_Fq12 pairing(const alt_bn128_G1 &P, const alt_bn128_G2 &Q)
 
alt_bn128_G2_precomp G2_precomp_type
 
static alt_bn128_GT final_exponentiation(const alt_bn128_Fq12 &elt)
 
alt_bn128_G1_precomp G1_precomp_type