| /* |
| Licensed to the Apache Software Foundation (ASF) under one |
| or more contributor license agreements. See the NOTICE file |
| distributed with this work for additional information |
| regarding copyright ownership. The ASF licenses this file |
| to you under the Apache License, Version 2.0 (the |
| "License"); you may not use this file except in compliance |
| with the License. You may obtain a copy of the License at |
| |
| http://www.apache.org/licenses/LICENSE-2.0 |
| |
| Unless required by applicable law or agreed to in writing, |
| software distributed under the License is distributed on an |
| "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY |
| KIND, either express or implied. See the License for the |
| specific language governing permissions and limitations |
| under the License. |
| */ |
| |
| #ifndef PAIR256_ZZZ_H |
| #define PAIR256_ZZZ_H |
| |
| #include "fp48_YYY.h" |
| #include "ecp8_ZZZ.h" |
| #include "ecp_ZZZ.h" |
| |
| |
| /* Pairing constants */ |
| |
| extern const BIG_XXX CURVE_Bnx_ZZZ; /**< BN curve x parameter */ |
| extern const BIG_XXX CURVE_Cru_ZZZ; /**< BN curve Cube Root of Unity */ |
| |
| extern const BIG_XXX CURVE_W_ZZZ[2]; /**< BN curve constant for GLV decomposition */ |
| extern const BIG_XXX CURVE_SB_ZZZ[2][2]; /**< BN curve constant for GLV decomposition */ |
| extern const BIG_XXX CURVE_WB_ZZZ[4]; /**< BN curve constant for GS decomposition */ |
| extern const BIG_XXX CURVE_BB_ZZZ[4][4]; /**< BN curve constant for GS decomposition */ |
| |
| /* Pairing function prototypes */ |
| |
| /** @brief Precompute line functions for n-pairing |
| * |
| @param r array of precomputed FP48 products of line functions |
| @param PV ECP8 instance, an element of G2 |
| @param QV ECP instance, an element of G1 |
| |
| */ |
| extern void PAIR_ZZZ_another(FP48_YYY r[],ECP8_ZZZ* PV,ECP_ZZZ* QV); |
| |
| /** @brief Calculate Miller loop for Optimal ATE pairing e(P,Q) |
| * |
| @param r FP48 result of the pairing calculation e(P,Q) |
| @param P ECP8 instance, an element of G2 |
| @param Q ECP instance, an element of G1 |
| |
| */ |
| extern void PAIR_ZZZ_ate(FP48_YYY *r,ECP8_ZZZ *P,ECP_ZZZ *Q); |
| /** @brief Calculate Miller loop for Optimal ATE double-pairing e(P,Q).e(R,S) |
| * |
| Faster than calculating two separate pairings |
| @param r FP48 result of the pairing calculation e(P,Q).e(R,S), an element of GT |
| @param P ECP8 instance, an element of G2 |
| @param Q ECP instance, an element of G1 |
| @param R ECP8 instance, an element of G2 |
| @param S ECP instance, an element of G1 |
| */ |
| extern void PAIR_ZZZ_double_ate(FP48_YYY *r,ECP8_ZZZ *P,ECP_ZZZ *Q,ECP8_ZZZ *R,ECP_ZZZ *S); |
| /** @brief Final exponentiation of pairing, converts output of Miller loop to element in GT |
| * |
| Here p is the internal modulus, and r is the group order |
| @param x FP48, on exit = x^((p^12-1)/r) |
| */ |
| extern void PAIR_ZZZ_fexp(FP48_YYY *x); |
| /** @brief Fast point multiplication of a member of the group G1 by a BIG number |
| * |
| May exploit endomorphism for speed. |
| @param Q ECP member of G1. |
| @param b BIG multiplier |
| |
| */ |
| extern void PAIR_ZZZ_G1mul(ECP_ZZZ *Q,BIG_XXX b); |
| /** @brief Fast point multiplication of a member of the group G2 by a BIG number |
| * |
| May exploit endomorphism for speed. |
| @param P ECP8 member of G1. |
| @param b BIG multiplier |
| |
| */ |
| extern void PAIR_ZZZ_G2mul(ECP8_ZZZ *P,BIG_XXX b); |
| /** @brief Fast raising of a member of GT to a BIG power |
| * |
| May exploit endomorphism for speed. |
| @param x FP48 member of GT. |
| @param b BIG exponent |
| |
| */ |
| extern void PAIR_ZZZ_GTpow(FP48_YYY *x,BIG_XXX b); |
| /** @brief Tests FP48 for membership of GT |
| * |
| @param x FP48 instance |
| @return 1 if x is in GT, else return 0 |
| |
| */ |
| extern int PAIR_ZZZ_GTmember(FP48_YYY *x); |
| |
| /** @brief Prepare Ate parameter |
| * |
| @param n BIG parameter |
| @param n3 BIG paramter = 3*n |
| @return number of nits in n3 |
| |
| */ |
| extern int PAIR_ZZZ_nbits(BIG_XXX n3,BIG_XXX n); |
| |
| /** @brief Initialise structure for multi-pairing |
| * |
| @param r FP48 array, to be initialised to 1 |
| |
| */ |
| extern void PAIR_ZZZ_initmp(FP48_YYY r[]); |
| |
| |
| /** @brief Miller loop |
| * |
| @param res FP48 result |
| @param r FP48 precomputed array of accumulated line functions |
| |
| */ |
| extern void PAIR_ZZZ_miller(FP48_YYY *res,FP48_YYY r[]); |
| #endif |