version3/cpp/fp4.h

#ifndef FP4_YYY_H
#define FP4_YYY_H

#include "fp2_YYY.h"
#include "config_curve_ZZZ.h"

using namespace amcl;

namespace YYY{

/**
	@brief FP4 Structure - towered over two FP2
*/

typedef struct
{
    FP2 a; /**< real part of FP4 */
    FP2 b; /**< imaginary part of FP4 */
} FP4;


/* FP4 prototypes */
/**	@brief Tests for FP4 equal to zero
 *
	@param x FP4 number to be tested
	@return 1 if zero, else returns 0
 */
extern int FP4_iszilch(FP4 *x);
/**	@brief Tests for FP4 equal to unity
 *
	@param x FP4 number to be tested
	@return 1 if unity, else returns 0
 */
extern int FP4_isunity(FP4 *x);
/**	@brief Tests for equality of two FP4s
 *
	@param x FP4 instance to be compared
	@param y FP4 instance to be compared
	@return 1 if x=y, else returns 0
 */
extern int FP4_equals(FP4 *x,FP4 *y);
/**	@brief Tests for FP4 having only a real part and no imaginary part
 *
	@param x FP4 number to be tested
	@return 1 if real, else returns 0
 */
extern int FP4_isreal(FP4 *x);
/**	@brief Initialise FP4 from two FP2s
 *
	@param x FP4 instance to be initialised
	@param a FP2 to form real part of FP4
	@param b FP2 to form imaginary part of FP4
 */
extern void FP4_from_FP2s(FP4 *x,FP2 *a,FP2 *b);
/**	@brief Initialise FP4 from single FP2
 *
	Imaginary part is set to zero
	@param x FP4 instance to be initialised
	@param a FP2 to form real part of FP4
 */
extern void FP4_from_FP2(FP4 *x,FP2 *a);

/**	@brief Initialise FP4 from single FP2
 *
	real part is set to zero
	@param x FP4 instance to be initialised
	@param a FP2 to form imaginary part of FP4
 */
extern void FP4_from_FP2H(FP4 *x,FP2 *a);


/**	@brief Copy FP4 to another FP4
 *
	@param x FP4 instance, on exit = y
	@param y FP4 instance to be copied
 */
extern void FP4_copy(FP4 *x,FP4 *y);
/**	@brief Set FP4 to zero
 *
	@param x FP4 instance to be set to zero
 */
extern void FP4_zero(FP4 *x);
/**	@brief Set FP4 to unity
 *
	@param x FP4 instance to be set to one
 */
extern void FP4_one(FP4 *x);
/**	@brief Negation of FP4
 *
	@param x FP4 instance, on exit = -y
	@param y FP4 instance
 */
extern void FP4_neg(FP4 *x,FP4 *y);
/**	@brief Conjugation of FP4
 *
	If y=(a,b) on exit x=(a,-b)
	@param x FP4 instance, on exit = conj(y)
	@param y FP4 instance
 */
extern void FP4_conj(FP4 *x,FP4 *y);
/**	@brief Negative conjugation of FP4
 *
	If y=(a,b) on exit x=(-a,b)
	@param x FP4 instance, on exit = -conj(y)
	@param y FP4 instance
 */
extern void FP4_nconj(FP4 *x,FP4 *y);
/**	@brief addition of two FP4s
 *
	@param x FP4 instance, on exit = y+z
	@param y FP4 instance
	@param z FP4 instance
 */
extern void FP4_add(FP4 *x,FP4 *y,FP4 *z);
/**	@brief subtraction of two FP4s
 *
	@param x FP4 instance, on exit = y-z
	@param y FP4 instance
	@param z FP4 instance
 */
extern void FP4_sub(FP4 *x,FP4 *y,FP4 *z);
/**	@brief Multiplication of an FP4 by an FP2
 *
	@param x FP4 instance, on exit = y*a
	@param y FP4 instance
	@param a FP2 multiplier
 */
extern void FP4_pmul(FP4 *x,FP4 *y,FP2 *a);

/**	@brief Multiplication of an FP4 by an FP
 *
	@param x FP4 instance, on exit = y*a
	@param y FP4 instance
	@param a FP multiplier
 */
extern void FP4_qmul(FP4 *x,FP4 *y,FP *a);

/**	@brief Multiplication of an FP4 by a small integer
 *
	@param x FP4 instance, on exit = y*i
	@param y FP4 instance
	@param i an integer
 */
extern void FP4_imul(FP4 *x,FP4 *y,int i);
/**	@brief Squaring an FP4
 *
	@param x FP4 instance, on exit = y^2
	@param y FP4 instance
 */
extern void FP4_sqr(FP4 *x,FP4 *y);
/**	@brief Multiplication of two FP4s
 *
	@param x FP4 instance, on exit = y*z
	@param y FP4 instance
	@param z FP4 instance
 */
extern void FP4_mul(FP4 *x,FP4 *y,FP4 *z);
/**	@brief Inverting an FP4
 *
	@param x FP4 instance, on exit = 1/y
	@param y FP4 instance
 */
extern void FP4_inv(FP4 *x,FP4 *y);

/**	@brief Divide an FP4 by 2
 *
	@param x FP4 instance, on exit = y/2
	@param y FP4 instance
 */
extern void FP4_div2(FP4 *x,FP4 *y);


/**	@brief Formats and outputs an FP4 to the console
 *
	@param x FP4 instance to be printed
 */
extern void FP4_output(FP4 *x);
/**	@brief Formats and outputs an FP4 to the console in raw form (for debugging)
 *
	@param x FP4 instance to be printed
 */
extern void FP4_rawoutput(FP4 *x);
/**	@brief multiplies an FP4 instance by irreducible polynomial sqrt(1+sqrt(-1))
 *
	@param x FP4 instance, on exit = sqrt(1+sqrt(-1)*x
 */
extern void FP4_times_i(FP4 *x);
/**	@brief Normalises the components of an FP4
 *
	@param x FP4 instance to be normalised
 */
extern void FP4_norm(FP4 *x);
/**	@brief Reduces all components of possibly unreduced FP4 mod Modulus
 *
	@param x FP4 instance, on exit reduced mod Modulus
 */
extern void FP4_reduce(FP4 *x);
/**	@brief Raises an FP4 to the power of a BIG
 *
	@param x FP4 instance, on exit = y^b
	@param y FP4 instance
	@param b BIG number
 */
extern void FP4_pow(FP4 *x,FP4 *y,XXX::BIG b);
/**	@brief Raises an FP4 to the power of the internal modulus p, using the Frobenius
 *
	@param x FP4 instance, on exit = x^p
	@param f FP2 precalculated Frobenius constant
 */
extern void FP4_frob(FP4 *x,FP2 *f);
/**	@brief Calculates the XTR addition function r=w*x-conj(x)*y+z
 *
	@param r FP4 instance, on exit = w*x-conj(x)*y+z
	@param w FP4 instance
	@param x FP4 instance
	@param y FP4 instance
	@param z FP4 instance
 */
extern void FP4_xtr_A(FP4 *r,FP4 *w,FP4 *x,FP4 *y,FP4 *z);
/**	@brief Calculates the XTR doubling function r=x^2-2*conj(x)
 *
	@param r FP4 instance, on exit = x^2-2*conj(x)
	@param x FP4 instance
 */
extern void FP4_xtr_D(FP4 *r,FP4 *x);
/**	@brief Calculates FP4 trace of an FP12 raised to the power of a BIG number
 *
	XTR single exponentiation
	@param r FP4 instance, on exit = trace(w^b)
	@param x FP4 instance, trace of an FP12 w
	@param b BIG number
 */
extern void FP4_xtr_pow(FP4 *r,FP4 *x,XXX::BIG b);
/**	@brief Calculates FP4 trace of c^a.d^b, where c and d are derived from FP4 traces of FP12s
 *
	XTR double exponentiation
	Assumes c=tr(x^m), d=tr(x^n), e=tr(x^(m-n)), f=tr(x^(m-2n))
	@param r FP4 instance, on exit = trace(c^a.d^b)
	@param c FP4 instance, trace of an FP12
	@param d FP4 instance, trace of an FP12
	@param e FP4 instance, trace of an FP12
	@param f FP4 instance, trace of an FP12
	@param a BIG number
	@param b BIG number
 */
extern void FP4_xtr_pow2(FP4 *r,FP4 *c,FP4 *d,FP4 *e,FP4 *f,XXX::BIG a,XXX::BIG b);


/**	@brief Calculate square root of an FP4
 *
	Square root
	@param r FP4 instance, on exit = sqrt(x)
	@param x FP4 instance
	@return 1 x is a QR, otherwise 0
 */
extern int  FP4_sqrt(FP4 *r,FP4 *x);


/**	@brief Conditional copy of FP4 number
 *
	Conditionally copies second parameter to the first (without branching)
	@param x FP4 instance, set to y if s!=0
	@param y another FP4 instance
	@param s copy only takes place if not equal to 0
 */
extern void FP4_cmove(FP4 *x,FP4 *y,int s);


/**	@brief Divide FP4 number by QNR
 *
	Divide FP4 by the QNR
	@param x FP4 instance
 */
extern void FP4_div_i(FP4 *x);

/**	@brief Divide an FP4 by QNR/2
 *
	Divide FP4 by the QNR/2
	@param x FP4 instance
 */
extern void FP4_div_2i(FP4 *x);

}

#endif