269 lines
8.2 KiB
C++
269 lines
8.2 KiB
C++
/*
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* Copyright (c) 2012-2020 MIRACL UK Ltd.
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*
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* This file is part of MIRACL Core
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* (see https://github.com/miracl/core).
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*
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* Licensed under the Apache License, Version 2.0 (the "License");
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* you may not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*/
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#ifndef ECP4_ZZZ_H
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#define ECP4_ZZZ_H
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#include "fp4_YYY.h"
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#include "config_curve_ZZZ.h"
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using namespace core;
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namespace YYY {
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extern const XXX::BIG Fra; /**< real part of BN curve Frobenius Constant */
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extern const XXX::BIG Frb; /**< imaginary part of BN curve Frobenius Constant */
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}
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namespace ZZZ {
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/**
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@brief ECP4 Structure - Elliptic Curve Point over quadratic extension field
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*/
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typedef struct
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{
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// int inf; /**< Infinity Flag */
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YYY::FP4 x; /**< x-coordinate of point */
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YYY::FP4 y; /**< y-coordinate of point */
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YYY::FP4 z; /**< z-coordinate of point */
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} ECP4;
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/* Curve Params - see rom*.cpp */
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extern const int CURVE_B_I; /**< Elliptic curve B parameter */
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extern const XXX::BIG CURVE_B; /**< Elliptic curve B parameter */
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extern const XXX::BIG CURVE_Order; /**< Elliptic curve group order */
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extern const XXX::BIG CURVE_Cof; /**< Elliptic curve cofactor */
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extern const XXX::BIG CURVE_Bnx; /**< Elliptic curve parameter */
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extern const XXX::BIG CURVE_HTPC; /**< Hash to Point precomputation */
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/* Generator point on G1 */
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extern const XXX::BIG CURVE_Gx; /**< x-coordinate of generator point in group G1 */
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extern const XXX::BIG CURVE_Gy; /**< y-coordinate of generator point in group G1 */
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/* For Pairings only */
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/* Generator point on G2 */
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extern const XXX::BIG CURVE_Pxaa; /**< real part of x-coordinate of generator point in group G2 */
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extern const XXX::BIG CURVE_Pxab; /**< imaginary part of x-coordinate of generator point in group G2 */
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extern const XXX::BIG CURVE_Pxba; /**< real part of x-coordinate of generator point in group G2 */
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extern const XXX::BIG CURVE_Pxbb; /**< imaginary part of x-coordinate of generator point in group G2 */
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extern const XXX::BIG CURVE_Pyaa; /**< real part of y-coordinate of generator point in group G2 */
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extern const XXX::BIG CURVE_Pyab; /**< imaginary part of y-coordinate of generator point in group G2 */
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extern const XXX::BIG CURVE_Pyba; /**< real part of y-coordinate of generator point in group G2 */
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extern const XXX::BIG CURVE_Pybb; /**< imaginary part of y-coordinate of generator point in group G2 */
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/* ECP4 E(FP4) prototypes */
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/** @brief Tests for ECP4 point equal to infinity
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*
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@param P ECP4 point to be tested
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@return 1 if infinity, else returns 0
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*/
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extern int ECP4_isinf(ECP4 *P);
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/** @brief Copy ECP4 point to another ECP4 point
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*
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@param P ECP4 instance, on exit = Q
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@param Q ECP4 instance to be copied
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*/
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extern void ECP4_copy(ECP4 *P, ECP4 *Q);
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/** @brief Set ECP4 to point-at-infinity
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*
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@param P ECP4 instance to be set to infinity
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*/
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extern void ECP4_inf(ECP4 *P);
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/** @brief Tests for equality of two ECP4s
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*
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@param P ECP4 instance to be compared
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@param Q ECP4 instance to be compared
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@return 1 if P=Q, else returns 0
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*/
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extern int ECP4_equals(ECP4 *P, ECP4 *Q);
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/** @brief Converts an ECP4 point from Projective (x,y,z) coordinates to affine (x,y) coordinates
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*
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@param P ECP4 instance to be converted to affine form
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*/
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extern void ECP4_affine(ECP4 *P);
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/** @brief Extract x and y coordinates of an ECP4 point P
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*
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If x=y, returns only x
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@param x FP4 on exit = x coordinate of point
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@param y FP4 on exit = y coordinate of point (unless x=y)
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@param P ECP4 instance (x,y)
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@return -1 if P is point-at-infinity, else 0
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*/
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extern int ECP4_get(YYY::FP4 *x, YYY::FP4 *y, ECP4 *P);
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/** @brief Formats and outputs an ECP4 point to the console, converted to affine coordinates
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*
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@param P ECP4 instance to be printed
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*/
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extern void ECP4_output(ECP4 *P);
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/** @brief Formats and outputs an ECP4 point to an octet string
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*
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The octet string is created in the form x|y or just x if compressed
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Convert the real and imaginary parts of the x and y coordinates to big-endian base 256 form.
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@param S output octet string
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@param P ECP4 instance to be converted to an octet string
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@param c true for compression
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*/
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extern void ECP4_toOctet(octet *S, ECP4 *P, bool c);
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/** @brief Creates an ECP4 point from an octet string
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*
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The octet string is in the form x|y
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The real and imaginary parts of the x and y coordinates are in big-endian base 256 form.
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@param P ECP4 instance to be created from the octet string
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@param S input octet string
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return 1 if octet string corresponds to a point on the curve, else 0
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*/
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extern int ECP4_fromOctet(ECP4 *P, octet *S);
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/** @brief Calculate Right Hand Side of curve equation y^2=f(x)
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*
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Function f(x)=x^3+Ax+B
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Used internally.
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@param r FP4 value of f(x)
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@param x FP4 instance
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*/
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extern void ECP4_rhs(YYY::FP4 *r, YYY::FP4 *x);
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/** @brief Set ECP4 to point(x,y) given x and y
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*
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Point P set to infinity if no such point on the curve.
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@param P ECP4 instance to be set (x,y)
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@param x FP4 x coordinate of point
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@param y FP4 y coordinate of point
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@return 1 if point exists, else 0
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*/
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extern int ECP4_set(ECP4 *P, YYY::FP4 *x, YYY::FP4 *y);
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/** @brief Set ECP to point(x,[y]) given x
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*
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Point P set to infinity if no such point on the curve. Otherwise y coordinate is calculated from x.
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@param P ECP instance to be set (x,[y])
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@param x BIG x coordinate of point
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@param s sign of y
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@return 1 if point exists, else 0
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*/
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extern int ECP4_setx(ECP4 *P, YYY::FP4 *x, int s);
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/** @brief Negation of an ECP4 point
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*
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@param P ECP4 instance, on exit = -P
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*/
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extern void ECP4_neg(ECP4 *P);
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/** @brief Reduction of an ECP4 point
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*
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@param P ECP4 instance, on exit (x,y) are reduced wrt the modulus
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*/
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extern void ECP4_reduce(ECP4 *P);
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/** @brief Doubles an ECP4 instance P
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*
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@param P ECP4 instance, on exit =2*P
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*/
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extern int ECP4_dbl(ECP4 *P);
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/** @brief Adds ECP4 instance Q to ECP4 instance P
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*
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@param P ECP4 instance, on exit =P+Q
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@param Q ECP4 instance to be added to P
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*/
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extern int ECP4_add(ECP4 *P, ECP4 *Q);
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/** @brief Subtracts ECP instance Q from ECP4 instance P
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*
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@param P ECP4 instance, on exit =P-Q
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@param Q ECP4 instance to be subtracted from P
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*/
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extern void ECP4_sub(ECP4 *P, ECP4 *Q);
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/** @brief Multiplies an ECP4 instance P by a BIG, side-channel resistant
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*
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Uses fixed sized windows.
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@param P ECP4 instance, on exit =b*P
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@param b BIG number multiplier
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*/
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extern void ECP4_mul(ECP4 *P, XXX::BIG b);
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/** @brief Calculates required Frobenius constants
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*
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Calculate Frobenius constants
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@param F array of FP2 precalculated constants
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*/
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extern void ECP4_frob_constants(YYY::FP2 F[3]);
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/** @brief Multiplies an ECP4 instance P by the internal modulus p^n, using precalculated Frobenius constants
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*
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Fast point multiplication using Frobenius
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@param P ECP4 instance, on exit = p^n*P
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@param F array of FP2 precalculated Frobenius constant
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@param n power of prime
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*/
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extern void ECP4_frob(ECP4 *P, YYY::FP2 F[3], int n);
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/** @brief Calculates P=Sigma b[i]*Q[i] for i=0 to 7
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*
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@param P ECP4 instance, on exit = Sigma b[i]*Q[i] for i=0 to 7
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@param Q ECP4 array of 4 points
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@param b BIG array of 4 multipliers
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*/
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extern void ECP4_mul8(ECP4 *P, ECP4 *Q, XXX::BIG *b);
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/** @brief Multiplies random point by co-factor
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*
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@param Q ECP4 multiplied by co-factor
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*/
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extern void ECP4_cfp(ECP4 *Q);
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/** @brief Maps random FP4 to curve point in constant time
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*
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@param Q ECP4 instance
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@param x FP4 derived from hash
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*/
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extern void ECP4_map2point(ECP4 *Q, YYY::FP4 *x);
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/** @brief Maps random BIG to curve point using hunt-and-peck
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*
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@param Q ECP4 instance
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@param x Fp derived from hash
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*/
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extern void ECP4_hap2point(ECP4 *Q, XXX::BIG x);
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/** @brief Maps random octet to curve point of correct order
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*
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@param P ECP4 instance of correct order
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@param W OCTET byte array to be mapped
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*/
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extern void ECP4_mapit(ECP4 *P, octet *W);
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/** @brief Get Group Generator from ROM
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*
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@param G ECP4 instance
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@return 1 if point exists, else 0
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*/
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extern int ECP4_generator(ECP4 *G);
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}
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#endif
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