| #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 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); |
| |
| |
| #endif |