269 lines
8.4 KiB
C
269 lines
8.4 KiB
C
|
/*
|
||
|
|
* Copyright (c) 2012-2020 MIRACL UK Ltd.
|
||
|
|
*
|
||
|
|
* This file is part of MIRACL Core
|
||
|
|
* (see https://github.com/miracl/core).
|
||
|
|
*
|
||
|
|
* Licensed 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 ECP4_BLS24479_H
|
||
|
|
#define ECP4_BLS24479_H
|
||
|
|
|
||
|
|
#include "fp4_BLS24479.h"
|
||
|
|
#include "config_curve_BLS24479.h"
|
||
|
|
|
||
|
|
using namespace core;
|
||
|
|
|
||
|
|
namespace BLS24479 {
|
||
|
|
|
||
|
|
extern const B480_56::BIG Fra; /**< real part of BN curve Frobenius Constant */
|
||
|
|
extern const B480_56::BIG Frb; /**< imaginary part of BN curve Frobenius Constant */
|
||
|
|
|
||
|
|
}
|
||
|
|
|
||
|
|
namespace BLS24479 {
|
||
|
|
|
||
|
|
/**
|
||
|
|
@brief ECP4 Structure - Elliptic Curve Point over quadratic extension field
|
||
|
|
*/
|
||
|
|
|
||
|
|
typedef struct
|
||
|
|
{
|
||
|
|
// int inf; /**< Infinity Flag */
|
||
|
|
BLS24479::FP4 x; /**< x-coordinate of point */
|
||
|
|
BLS24479::FP4 y; /**< y-coordinate of point */
|
||
|
|
BLS24479::FP4 z; /**< z-coordinate of point */
|
||
|
|
} ECP4;
|
||
|
|
|
||
|
|
|
||
|
|
/* Curve Params - see rom*.cpp */
|
||
|
|
extern const int CURVE_B_I; /**< Elliptic curve B parameter */
|
||
|
|
extern const B480_56::BIG CURVE_B; /**< Elliptic curve B parameter */
|
||
|
|
extern const B480_56::BIG CURVE_Order; /**< Elliptic curve group order */
|
||
|
|
extern const B480_56::BIG CURVE_Cof; /**< Elliptic curve cofactor */
|
||
|
|
extern const B480_56::BIG CURVE_Bnx; /**< Elliptic curve parameter */
|
||
|
|
extern const B480_56::BIG CURVE_HTPC; /**< Hash to Point precomputation */
|
||
|
|
|
||
|
|
/* Generator point on G1 */
|
||
|
|
extern const B480_56::BIG CURVE_Gx; /**< x-coordinate of generator point in group G1 */
|
||
|
|
extern const B480_56::BIG CURVE_Gy; /**< y-coordinate of generator point in group G1 */
|
||
|
|
|
||
|
|
/* For Pairings only */
|
||
|
|
|
||
|
|
/* Generator point on G2 */
|
||
|
|
extern const B480_56::BIG CURVE_Pxaa; /**< real part of x-coordinate of generator point in group G2 */
|
||
|
|
extern const B480_56::BIG CURVE_Pxab; /**< imaginary part of x-coordinate of generator point in group G2 */
|
||
|
|
extern const B480_56::BIG CURVE_Pxba; /**< real part of x-coordinate of generator point in group G2 */
|
||
|
|
extern const B480_56::BIG CURVE_Pxbb; /**< imaginary part of x-coordinate of generator point in group G2 */
|
||
|
|
extern const B480_56::BIG CURVE_Pyaa; /**< real part of y-coordinate of generator point in group G2 */
|
||
|
|
extern const B480_56::BIG CURVE_Pyab; /**< imaginary part of y-coordinate of generator point in group G2 */
|
||
|
|
extern const B480_56::BIG CURVE_Pyba; /**< real part of y-coordinate of generator point in group G2 */
|
||
|
|
extern const B480_56::BIG CURVE_Pybb; /**< imaginary part of y-coordinate of generator point in group G2 */
|
||
|
|
|
||
|
|
/* ECP4 E(FP4) prototypes */
|
||
|
|
/** @brief Tests for ECP4 point equal to infinity
|
||
|
|
*
|
||
|
|
@param P ECP4 point to be tested
|
||
|
|
@return 1 if infinity, else returns 0
|
||
|
|
*/
|
||
|
|
extern int ECP4_isinf(ECP4 *P);
|
||
|
|
/** @brief Copy ECP4 point to another ECP4 point
|
||
|
|
*
|
||
|
|
@param P ECP4 instance, on exit = Q
|
||
|
|
@param Q ECP4 instance to be copied
|
||
|
|
*/
|
||
|
|
extern void ECP4_copy(ECP4 *P, ECP4 *Q);
|
||
|
|
/** @brief Set ECP4 to point-at-infinity
|
||
|
|
*
|
||
|
|
@param P ECP4 instance to be set to infinity
|
||
|
|
*/
|
||
|
|
extern void ECP4_inf(ECP4 *P);
|
||
|
|
/** @brief Tests for equality of two ECP4s
|
||
|
|
*
|
||
|
|
@param P ECP4 instance to be compared
|
||
|
|
@param Q ECP4 instance to be compared
|
||
|
|
@return 1 if P=Q, else returns 0
|
||
|
|
*/
|
||
|
|
extern int ECP4_equals(ECP4 *P, ECP4 *Q);
|
||
|
|
|
||
|
|
/** @brief Converts an ECP4 point from Projective (x,y,z) coordinates to affine (x,y) coordinates
|
||
|
|
*
|
||
|
|
@param P ECP4 instance to be converted to affine form
|
||
|
|
*/
|
||
|
|
extern void ECP4_affine(ECP4 *P);
|
||
|
|
|
||
|
|
|
||
|
|
/** @brief Extract x and y coordinates of an ECP4 point P
|
||
|
|
*
|
||
|
|
If x=y, returns only x
|
||
|
|
@param x FP4 on exit = x coordinate of point
|
||
|
|
@param y FP4 on exit = y coordinate of point (unless x=y)
|
||
|
|
@param P ECP4 instance (x,y)
|
||
|
|
@return -1 if P is point-at-infinity, else 0
|
||
|
|
*/
|
||
|
|
extern int ECP4_get(BLS24479::FP4 *x, BLS24479::FP4 *y, ECP4 *P);
|
||
|
|
/** @brief Formats and outputs an ECP4 point to the console, converted to affine coordinates
|
||
|
|
*
|
||
|
|
@param P ECP4 instance to be printed
|
||
|
|
*/
|
||
|
|
extern void ECP4_output(ECP4 *P);
|
||
|
|
|
||
|
|
/** @brief Formats and outputs an ECP4 point to an octet string
|
||
|
|
*
|
||
|
|
The octet string is created in the form x|y or just x if compressed
|
||
|
|
Convert the real and imaginary parts of the x and y coordinates to big-endian base 256 form.
|
||
|
|
@param S output octet string
|
||
|
|
@param P ECP4 instance to be converted to an octet string
|
||
|
|
@param c true for compression
|
||
|
|
*/
|
||
|
|
extern void ECP4_toOctet(octet *S, ECP4 *P, bool c);
|
||
|
|
/** @brief Creates an ECP4 point from an octet string
|
||
|
|
*
|
||
|
|
The octet string is in the form x|y
|
||
|
|
The real and imaginary parts of the x and y coordinates are in big-endian base 256 form.
|
||
|
|
@param P ECP4 instance to be created from the octet string
|
||
|
|
@param S input octet string
|
||
|
|
return 1 if octet string corresponds to a point on the curve, else 0
|
||
|
|
*/
|
||
|
|
extern int ECP4_fromOctet(ECP4 *P, octet *S);
|
||
|
|
/** @brief Calculate Right Hand Side of curve equation y^2=f(x)
|
||
|
|
*
|
||
|
|
Function f(x)=x^3+Ax+B
|
||
|
|
Used internally.
|
||
|
|
@param r FP4 value of f(x)
|
||
|
|
@param x FP4 instance
|
||
|
|
*/
|
||
|
|
extern void ECP4_rhs(BLS24479::FP4 *r, BLS24479::FP4 *x);
|
||
|
|
/** @brief Set ECP4 to point(x,y) given x and y
|
||
|
|
*
|
||
|
|
Point P set to infinity if no such point on the curve.
|
||
|
|
@param P ECP4 instance to be set (x,y)
|
||
|
|
@param x FP4 x coordinate of point
|
||
|
|
@param y FP4 y coordinate of point
|
||
|
|
@return 1 if point exists, else 0
|
||
|
|
*/
|
||
|
|
extern int ECP4_set(ECP4 *P, BLS24479::FP4 *x, BLS24479::FP4 *y);
|
||
|
|
/** @brief Set ECP to point(x,[y]) given x
|
||
|
|
*
|
||
|
|
Point P set to infinity if no such point on the curve. Otherwise y coordinate is calculated from x.
|
||
|
|
@param P ECP instance to be set (x,[y])
|
||
|
|
@param x BIG x coordinate of point
|
||
|
|
@param s sign of y
|
||
|
|
@return 1 if point exists, else 0
|
||
|
|
*/
|
||
|
|
extern int ECP4_setx(ECP4 *P, BLS24479::FP4 *x, int s);
|
||
|
|
/** @brief Negation of an ECP4 point
|
||
|
|
*
|
||
|
|
@param P ECP4 instance, on exit = -P
|
||
|
|
*/
|
||
|
|
extern void ECP4_neg(ECP4 *P);
|
||
|
|
|
||
|
|
/** @brief Reduction of an ECP4 point
|
||
|
|
*
|
||
|
|
@param P ECP4 instance, on exit (x,y) are reduced wrt the modulus
|
||
|
|
*/
|
||
|
|
extern void ECP4_reduce(ECP4 *P);
|
||
|
|
|
||
|
|
|
||
|
|
/** @brief Doubles an ECP4 instance P
|
||
|
|
*
|
||
|
|
@param P ECP4 instance, on exit =2*P
|
||
|
|
*/
|
||
|
|
extern int ECP4_dbl(ECP4 *P);
|
||
|
|
/** @brief Adds ECP4 instance Q to ECP4 instance P
|
||
|
|
*
|
||
|
|
@param P ECP4 instance, on exit =P+Q
|
||
|
|
@param Q ECP4 instance to be added to P
|
||
|
|
*/
|
||
|
|
extern int ECP4_add(ECP4 *P, ECP4 *Q);
|
||
|
|
/** @brief Subtracts ECP instance Q from ECP4 instance P
|
||
|
|
*
|
||
|
|
@param P ECP4 instance, on exit =P-Q
|
||
|
|
@param Q ECP4 instance to be subtracted from P
|
||
|
|
*/
|
||
|
|
extern void ECP4_sub(ECP4 *P, ECP4 *Q);
|
||
|
|
/** @brief Multiplies an ECP4 instance P by a BIG, side-channel resistant
|
||
|
|
*
|
||
|
|
Uses fixed sized windows.
|
||
|
|
@param P ECP4 instance, on exit =b*P
|
||
|
|
@param b BIG number multiplier
|
||
|
|
|
||
|
|
*/
|
||
|
|
extern void ECP4_mul(ECP4 *P, B480_56::BIG b);
|
||
|
|
|
||
|
|
/** @brief Calculates required Frobenius constants
|
||
|
|
*
|
||
|
|
Calculate Frobenius constants
|
||
|
|
@param F array of FP2 precalculated constants
|
||
|
|
|
||
|
|
*/
|
||
|
|
extern void ECP4_frob_constants(BLS24479::FP2 F[3]);
|
||
|
|
|
||
|
|
/** @brief Multiplies an ECP4 instance P by the internal modulus p^n, using precalculated Frobenius constants
|
||
|
|
*
|
||
|
|
Fast point multiplication using Frobenius
|
||
|
|
@param P ECP4 instance, on exit = p^n*P
|
||
|
|
@param F array of FP2 precalculated Frobenius constant
|
||
|
|
@param n power of prime
|
||
|
|
|
||
|
|
*/
|
||
|
|
extern void ECP4_frob(ECP4 *P, BLS24479::FP2 F[3], int n);
|
||
|
|
|
||
|
|
/** @brief Calculates P=Sigma b[i]*Q[i] for i=0 to 7
|
||
|
|
*
|
||
|
|
@param P ECP4 instance, on exit = Sigma b[i]*Q[i] for i=0 to 7
|
||
|
|
@param Q ECP4 array of 4 points
|
||
|
|
@param b BIG array of 4 multipliers
|
||
|
|
*/
|
||
|
|
extern void ECP4_mul8(ECP4 *P, ECP4 *Q, B480_56::BIG *b);
|
||
|
|
|
||
|
|
/** @brief Multiplies random point by co-factor
|
||
|
|
*
|
||
|
|
@param Q ECP4 multiplied by co-factor
|
||
|
|
*/
|
||
|
|
extern void ECP4_cfp(ECP4 *Q);
|
||
|
|
|
||
|
|
/** @brief Maps random FP4 to curve point in constant time
|
||
|
|
*
|
||
|
|
@param Q ECP4 instance
|
||
|
|
@param x FP4 derived from hash
|
||
|
|
*/
|
||
|
|
extern void ECP4_map2point(ECP4 *Q, BLS24479::FP4 *x);
|
||
|
|
|
||
|
|
/** @brief Maps random BIG to curve point using hunt-and-peck
|
||
|
|
*
|
||
|
|
@param Q ECP4 instance
|
||
|
|
@param x Fp derived from hash
|
||
|
|
*/
|
||
|
|
extern void ECP4_hap2point(ECP4 *Q, B480_56::BIG x);
|
||
|
|
|
||
|
|
/** @brief Maps random octet to curve point of correct order
|
||
|
|
*
|
||
|
|
@param P ECP4 instance of correct order
|
||
|
|
@param W OCTET byte array to be mapped
|
||
|
|
*/
|
||
|
|
extern void ECP4_mapit(ECP4 *P, octet *W);
|
||
|
|
|
||
|
|
/** @brief Get Group Generator from ROM
|
||
|
|
*
|
||
|
|
@param G ECP4 instance
|
||
|
|
@return 1 if point exists, else 0
|
||
|
|
*/
|
||
|
|
extern int ECP4_generator(ECP4 *G);
|
||
|
|
|
||
|
|
|
||
|
|
}
|
||
|
|
|
||
|
|
#endif
|