libff::bn128_pp Class Reference

#include <bn128_pp.hpp>

Public Types
typedef bn128_Fr	Fp_type
typedef bn128_G1	G1_type
typedef bn128_G2	G2_type
typedef bn128_ate_G1_precomp	G1_precomp_type
typedef bn128_ate_G2_precomp	G2_precomp_type
typedef bn128_Fq	Fq_type
typedef bn128_Fq12	Fqk_type
typedef bn128_GT	GT_type

Static Public Member Functions
static void	init_public_params ()
static bn128_GT	final_exponentiation (const bn128_Fq12 &elt)
static bn128_ate_G1_precomp	precompute_G1 (const bn128_G1 &P)
static bn128_ate_G2_precomp	precompute_G2 (const bn128_G2 &Q)
static bn128_Fq12	miller_loop (const bn128_ate_G1_precomp &prec_P, const bn128_ate_G2_precomp &prec_Q)
static bn128_Fq12	double_miller_loop (const bn128_ate_G1_precomp &prec_P1, const bn128_ate_G2_precomp &prec_Q1, const bn128_ate_G1_precomp &prec_P2, const bn128_ate_G2_precomp &prec_Q2)
static bn128_GT	pairing (const bn128_G1 &P, const bn128_G2 &Q)
static bn128_GT	reduced_pairing (const bn128_G1 &P, const bn128_G2 &Q)

Static Public Attributes
static const bool	has_affine_pairing = false

Detailed Description

Definition at line 19 of file bn128_pp.hpp.

Member Typedef Documentation

Fp_type

bn128_Fr libff::bn128_pp::Fp_type

Definition at line 21 of file bn128_pp.hpp.

Fq_type

bn128_Fq libff::bn128_pp::Fq_type

Definition at line 26 of file bn128_pp.hpp.

Fqk_type

bn128_Fq12 libff::bn128_pp::Fqk_type

Definition at line 27 of file bn128_pp.hpp.

G1_precomp_type

bn128_ate_G1_precomp libff::bn128_pp::G1_precomp_type

Definition at line 24 of file bn128_pp.hpp.

G1_type

bn128_G1 libff::bn128_pp::G1_type

Definition at line 22 of file bn128_pp.hpp.

G2_precomp_type

bn128_ate_G2_precomp libff::bn128_pp::G2_precomp_type

Definition at line 25 of file bn128_pp.hpp.

G2_type

bn128_G2 libff::bn128_pp::G2_type

Definition at line 23 of file bn128_pp.hpp.

GT_type

bn128_GT libff::bn128_pp::GT_type

Definition at line 28 of file bn128_pp.hpp.

Member Function Documentation

double_miller_loop()

bn128_Fq12 libff::bn128_pp::double_miller_loop ( const bn128_ate_G1_precomp & prec_P1, const bn128_ate_G2_precomp & prec_Q1, const bn128_ate_G1_precomp & prec_P2, const bn128_ate_G2_precomp & prec_Q2 )

static

Definition at line 42 of file bn128_pp.cpp.

{
    enter_block("Call to double_miller_loop<bn128_pp>");
    bn128_Fq12 result = bn128_double_ate_miller_loop(prec_P1, prec_Q1, prec_P2, prec_Q2);
    leave_block("Call to double_miller_loop<bn128_pp>");
    return result;
}

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final_exponentiation()

bn128_GT libff::bn128_pp::final_exponentiation ( const bn128_Fq12 & elt )

static

Definition at line 18 of file bn128_pp.cpp.

{
    return bn128_final_exponentiation(elt);
}

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init_public_params()

void libff::bn128_pp::init_public_params ( )

static

Definition at line 13 of file bn128_pp.cpp.

{
    init_bn128_params();
}

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miller_loop()

bn128_Fq12 libff::bn128_pp::miller_loop ( const bn128_ate_G1_precomp & prec_P, const bn128_ate_G2_precomp & prec_Q )

static

Definition at line 33 of file bn128_pp.cpp.

{
    enter_block("Call to miller_loop<bn128_pp>");
    bn128_Fq12 result = bn128_ate_miller_loop(prec_P, prec_Q);
    leave_block("Call to miller_loop<bn128_pp>");
    return result;
}

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pairing()

bn128_Fq12 libff::bn128_pp::pairing ( const bn128_G1 & P, const bn128_G2 & Q )

static

Definition at line 53 of file bn128_pp.cpp.

{
    enter_block("Call to pairing<bn128_pp>");
    bn128_ate_G1_precomp prec_P = bn128_pp::precompute_G1(P);
    bn128_ate_G2_precomp prec_Q = bn128_pp::precompute_G2(Q);
 
    bn128_Fq12 result = bn128_pp::miller_loop(prec_P, prec_Q);
    leave_block("Call to pairing<bn128_pp>");
    return result;
}

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precompute_G1()

bn128_ate_G1_precomp libff::bn128_pp::precompute_G1 ( const bn128_G1 & P )

static

Definition at line 23 of file bn128_pp.cpp.

{
    return bn128_ate_precompute_G1(P);
}

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precompute_G2()

bn128_ate_G2_precomp libff::bn128_pp::precompute_G2 ( const bn128_G2 & Q )

static

Definition at line 28 of file bn128_pp.cpp.

{
    return bn128_ate_precompute_G2(Q);
}

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reduced_pairing()

bn128_GT libff::bn128_pp::reduced_pairing ( const bn128_G1 & P, const bn128_G2 & Q )

static

Definition at line 65 of file bn128_pp.cpp.

{
    enter_block("Call to reduced_pairing<bn128_pp>");
    const bn128_Fq12 f = bn128_pp::pairing(P, Q);
    const bn128_GT result = bn128_pp::final_exponentiation(f);
    leave_block("Call to reduced_pairing<bn128_pp>");
    return result;
}

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Member Data Documentation

has_affine_pairing

const bool libff::bn128_pp::has_affine_pairing = false

static

Definition at line 30 of file bn128_pp.hpp.

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The documentation for this class was generated from the following files:

• libraries/fc/libraries/ff/libff/algebra/curves/bn128/bn128_pp.hpp
• libraries/fc/libraries/ff/libff/algebra/curves/bn128/bn128_pp.cpp