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#ifndef PAIR192_ZZZ_H
#define PAIR192_ZZZ_H
#include "fp24_YYY.h"
#include "ecp4_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 FP24 result of the pairing calculation e(P,Q)
@param P ECP4 instance, an element of G2
@param Q ECP instance, an element of G1
*/
extern void PAIR_ZZZ_ate(FP24_YYY *r,ECP4_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 FP24 result of the pairing calculation e(P,Q).e(R,S), an element of GT
@param P ECP4 instance, an element of G2
@param Q ECP instance, an element of G1
@param R ECP4 instance, an element of G2
@param S ECP instance, an element of G1
*/
extern void PAIR_ZZZ_double_ate(FP24_YYY *r,ECP4_ZZZ *P,ECP_ZZZ *Q,ECP4_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 FP24, on exit = x^((p^12-1)/r)
*/
extern void PAIR_ZZZ_fexp(FP24_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 ECP4 member of G1.
@param b BIG multiplier
*/
extern void PAIR_ZZZ_G2mul(ECP4_ZZZ *P,BIG_XXX b);
/** @brief Fast raising of a member of GT to a BIG power
*
May exploit endomorphism for speed.
@param x FP24 member of GT.
@param b BIG exponent
*/
extern void PAIR_ZZZ_GTpow(FP24_YYY *x,BIG_XXX b);
/** @brief Tests FP24 for membership of GT
*
@param x FP24 instance
@return 1 if x is in GT, else return 0
*/
extern int PAIR_ZZZ_GTmember(FP24_YYY *x);
#endif