307 lines
7.5 KiB
C
307 lines
7.5 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 FP2_BLS12443_H
|
||
|
|
#define FP2_BLS12443_H
|
||
|
|
|
||
|
|
#include "fp_BLS12443.h"
|
||
|
|
|
||
|
|
using namespace core;
|
||
|
|
|
||
|
|
namespace BLS12443 {
|
||
|
|
|
||
|
|
/**
|
||
|
|
@brief FP2 Structure - quadratic extension field
|
||
|
|
*/
|
||
|
|
|
||
|
|
typedef struct
|
||
|
|
{
|
||
|
|
FP a; /**< real part of FP2 */
|
||
|
|
FP b; /**< imaginary part of FP2 */
|
||
|
|
} FP2;
|
||
|
|
|
||
|
|
/* FP2 prototypes */
|
||
|
|
|
||
|
|
/** @brief Tests for FP2 equal to zero
|
||
|
|
*
|
||
|
|
@param x FP2 number to be tested
|
||
|
|
@return 1 if zero, else returns 0
|
||
|
|
*/
|
||
|
|
extern int FP2_iszilch(FP2 *x);
|
||
|
|
|
||
|
|
/** @brief Tests for lexically larger
|
||
|
|
*
|
||
|
|
@param x FP2 number to be tested if larger than -x
|
||
|
|
@return 1 if larger, else returns 0
|
||
|
|
*/
|
||
|
|
extern int FP2_islarger(FP2 *x);
|
||
|
|
|
||
|
|
|
||
|
|
/** @brief Serialize out FP2
|
||
|
|
*
|
||
|
|
@param b buffer for output
|
||
|
|
@param x FP2 number to be serialized
|
||
|
|
*/
|
||
|
|
extern void FP2_toBytes(char *b,FP2 *x);
|
||
|
|
|
||
|
|
/** @brief Serialize in FP2
|
||
|
|
*
|
||
|
|
@param x FP2 number to be serialized
|
||
|
|
@param b buffer for input
|
||
|
|
*/
|
||
|
|
extern void FP2_fromBytes(FP2 *x,char *b);
|
||
|
|
|
||
|
|
/** @brief Conditional copy of FP2 number
|
||
|
|
*
|
||
|
|
Conditionally copies second parameter to the first (without branching)
|
||
|
|
@param x FP2 instance, set to y if s!=0
|
||
|
|
@param y another FP2 instance
|
||
|
|
@param s copy only takes place if not equal to 0
|
||
|
|
*/
|
||
|
|
extern void FP2_cmove(FP2 *x, FP2 *y, int s);
|
||
|
|
/** @brief Tests for FP2 equal to one
|
||
|
|
*
|
||
|
|
@param x FP2 instance to be tested
|
||
|
|
@return 1 if x=1, else returns 0
|
||
|
|
*/
|
||
|
|
extern int FP2_isunity(FP2 *x);
|
||
|
|
/** @brief Tests for equality of two FP2s
|
||
|
|
*
|
||
|
|
@param x FP2 instance to be compared
|
||
|
|
@param y FP2 instance to be compared
|
||
|
|
@return 1 if x=y, else returns 0
|
||
|
|
*/
|
||
|
|
extern int FP2_equals(FP2 *x, FP2 *y);
|
||
|
|
/** @brief Initialise FP2 from two FP numbers
|
||
|
|
*
|
||
|
|
@param x FP2 instance to be initialised
|
||
|
|
@param a FP to form real part of FP2
|
||
|
|
@param b FP to form imaginary part of FP2
|
||
|
|
*/
|
||
|
|
extern void FP2_from_FPs(FP2 *x, FP *a, FP *b);
|
||
|
|
/** @brief Initialise FP2 from two BIG integers
|
||
|
|
*
|
||
|
|
@param x FP2 instance to be initialised
|
||
|
|
@param a BIG to form real part of FP2
|
||
|
|
@param b BIG to form imaginary part of FP2
|
||
|
|
*/
|
||
|
|
extern void FP2_from_BIGs(FP2 *x, B448_60::BIG a, B448_60::BIG b);
|
||
|
|
|
||
|
|
|
||
|
|
/** @brief Initialise FP2 from two integers
|
||
|
|
*
|
||
|
|
@param x FP2 instance to be initialised
|
||
|
|
@param a int to form real part of FP2
|
||
|
|
@param b int to form imaginary part of FP2
|
||
|
|
*/
|
||
|
|
extern void FP2_from_ints(FP2 *x, int a, int b);
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
/** @brief Initialise FP2 from single FP
|
||
|
|
*
|
||
|
|
Imaginary part is set to zero
|
||
|
|
@param x FP2 instance to be initialised
|
||
|
|
@param an FP to form real part of FP2
|
||
|
|
*/
|
||
|
|
extern void FP2_from_FP(FP2 *x, FP *a);
|
||
|
|
/** @brief Initialise FP2 from single BIG
|
||
|
|
*
|
||
|
|
Imaginary part is set to zero
|
||
|
|
@param x FP2 instance to be initialised
|
||
|
|
@param a BIG to form real part of FP2
|
||
|
|
*/
|
||
|
|
extern void FP2_from_BIG(FP2 *x, B448_60::BIG a);
|
||
|
|
/** @brief Copy FP2 to another FP2
|
||
|
|
*
|
||
|
|
@param x FP2 instance, on exit = y
|
||
|
|
@param y FP2 instance to be copied
|
||
|
|
*/
|
||
|
|
extern void FP2_copy(FP2 *x, FP2 *y);
|
||
|
|
/** @brief Set FP2 to zero
|
||
|
|
*
|
||
|
|
@param x FP2 instance to be set to zero
|
||
|
|
*/
|
||
|
|
extern void FP2_zero(FP2 *x);
|
||
|
|
/** @brief Set FP2 to unity
|
||
|
|
*
|
||
|
|
@param x FP2 instance to be set to one
|
||
|
|
*/
|
||
|
|
extern void FP2_one(FP2 *x);
|
||
|
|
|
||
|
|
/** @brief Copy from ROM to an FP2
|
||
|
|
*
|
||
|
|
@param w FP2 number to be copied to
|
||
|
|
@param a BIG real part to be copied from ROM
|
||
|
|
@param b BIG imag part to be copied from ROM
|
||
|
|
*/
|
||
|
|
extern void FP2_rcopy(FP2 *w,const B448_60::BIG a,const B448_60::BIG b);
|
||
|
|
|
||
|
|
/** @brief Sign of FP2
|
||
|
|
*
|
||
|
|
@param x FP2 instance
|
||
|
|
@return "sign" of FP2
|
||
|
|
*/
|
||
|
|
extern int FP2_sign(FP2 *x);
|
||
|
|
|
||
|
|
/** @brief Negation of FP2
|
||
|
|
*
|
||
|
|
@param x FP2 instance, on exit = -y
|
||
|
|
@param y FP2 instance
|
||
|
|
*/
|
||
|
|
extern void FP2_neg(FP2 *x, FP2 *y);
|
||
|
|
|
||
|
|
|
||
|
|
/** @brief Conjugation of FP2
|
||
|
|
*
|
||
|
|
If y=(a,b) on exit x=(a,-b)
|
||
|
|
@param x FP2 instance, on exit = conj(y)
|
||
|
|
@param y FP2 instance
|
||
|
|
*/
|
||
|
|
extern void FP2_conj(FP2 *x, FP2 *y);
|
||
|
|
/** @brief addition of two FP2s
|
||
|
|
*
|
||
|
|
@param x FP2 instance, on exit = y+z
|
||
|
|
@param y FP2 instance
|
||
|
|
@param z FP2 instance
|
||
|
|
*/
|
||
|
|
extern void FP2_add(FP2 *x, FP2 *y, FP2 *z);
|
||
|
|
/** @brief subtraction of two FP2s
|
||
|
|
*
|
||
|
|
@param x FP2 instance, on exit = y-z
|
||
|
|
@param y FP2 instance
|
||
|
|
@param z FP2 instance
|
||
|
|
*/
|
||
|
|
extern void FP2_sub(FP2 *x, FP2 *y, FP2 *z);
|
||
|
|
/** @brief Multiplication of an FP2 by an FP
|
||
|
|
*
|
||
|
|
@param x FP2 instance, on exit = y*b
|
||
|
|
@param y FP2 instance
|
||
|
|
@param b FP residue
|
||
|
|
*/
|
||
|
|
extern void FP2_pmul(FP2 *x, FP2 *y, FP *b);
|
||
|
|
/** @brief Multiplication of an FP2 by a small integer
|
||
|
|
*
|
||
|
|
@param x FP2 instance, on exit = y*i
|
||
|
|
@param y FP2 instance
|
||
|
|
@param i an integer
|
||
|
|
*/
|
||
|
|
extern void FP2_imul(FP2 *x, FP2 *y, int i);
|
||
|
|
/** @brief Squaring an FP2
|
||
|
|
*
|
||
|
|
@param x FP2 instance, on exit = y^2
|
||
|
|
@param y FP2 instance
|
||
|
|
*/
|
||
|
|
extern void FP2_sqr(FP2 *x, FP2 *y);
|
||
|
|
/** @brief Multiplication of two FP2s
|
||
|
|
*
|
||
|
|
@param x FP2 instance, on exit = y*z
|
||
|
|
@param y FP2 instance
|
||
|
|
@param z FP2 instance
|
||
|
|
*/
|
||
|
|
extern void FP2_mul(FP2 *x, FP2 *y, FP2 *z);
|
||
|
|
/** @brief Formats and outputs an FP2 to the console
|
||
|
|
*
|
||
|
|
@param x FP2 instance
|
||
|
|
*/
|
||
|
|
extern void FP2_output(FP2 *x);
|
||
|
|
/** @brief Formats and outputs an FP2 to the console in raw form (for debugging)
|
||
|
|
*
|
||
|
|
@param x FP2 instance
|
||
|
|
*/
|
||
|
|
extern void FP2_rawoutput(FP2 *x);
|
||
|
|
/** @brief Inverting an FP2
|
||
|
|
*
|
||
|
|
@param x FP2 instance, on exit = 1/y
|
||
|
|
@param y FP2 instance
|
||
|
|
*/
|
||
|
|
extern void FP2_inv(FP2 *x, FP2 *y, FP *h);
|
||
|
|
/** @brief Divide an FP2 by 2
|
||
|
|
*
|
||
|
|
@param x FP2 instance, on exit = y/2
|
||
|
|
@param y FP2 instance
|
||
|
|
@param h optional input hint
|
||
|
|
*/
|
||
|
|
extern void FP2_div2(FP2 *x, FP2 *y);
|
||
|
|
/** @brief Multiply an FP2 by (1+sqrt(-1))
|
||
|
|
*
|
||
|
|
Note that (1+sqrt(-1)) is irreducible for FP4
|
||
|
|
@param x FP2 instance, on exit = x*(1+sqrt(-1))
|
||
|
|
*/
|
||
|
|
extern void FP2_mul_ip(FP2 *x);
|
||
|
|
|
||
|
|
/** @brief Divide an FP2 by (1+sqrt(-1))
|
||
|
|
*
|
||
|
|
Note that (1+sqrt(-1)) is irreducible for FP4
|
||
|
|
@param x FP2 instance, on exit = x/(1+sqrt(-1))
|
||
|
|
*/
|
||
|
|
extern void FP2_div_ip(FP2 *x);
|
||
|
|
/** @brief Normalises the components of an FP2
|
||
|
|
*
|
||
|
|
@param x FP2 instance to be normalised
|
||
|
|
*/
|
||
|
|
extern void FP2_norm(FP2 *x);
|
||
|
|
/** @brief Reduces all components of possibly unreduced FP2 mod Modulus
|
||
|
|
*
|
||
|
|
@param x FP2 instance, on exit reduced mod Modulus
|
||
|
|
*/
|
||
|
|
extern void FP2_reduce(FP2 *x);
|
||
|
|
/** @brief Raises an FP2 to the power of a BIG
|
||
|
|
*
|
||
|
|
@param x FP2 instance, on exit = y^b
|
||
|
|
@param y FP2 instance
|
||
|
|
@param b BIG number
|
||
|
|
*/
|
||
|
|
extern void FP2_pow(FP2 *x, FP2 *y, B448_60::BIG b);
|
||
|
|
|
||
|
|
/** @brief Test FP2 for QR
|
||
|
|
*
|
||
|
|
@param x FP2 instance
|
||
|
|
@param h optional generated hint
|
||
|
|
@return true or false
|
||
|
|
*/
|
||
|
|
extern int FP2_qr(FP2 *x,FP *h);
|
||
|
|
|
||
|
|
|
||
|
|
/** @brief Square root of an FP2
|
||
|
|
*
|
||
|
|
@param x FP2 instance, on exit = sqrt(y)
|
||
|
|
@param y FP2 instance
|
||
|
|
@param h optional input hint
|
||
|
|
*/
|
||
|
|
extern void FP2_sqrt(FP2 *x, FP2 *y, FP *h);
|
||
|
|
|
||
|
|
/** @brief Multiply an FP2 by sqrt(-1)
|
||
|
|
*
|
||
|
|
Note that -1 is QNR
|
||
|
|
@param x FP2 instance, on exit = x*sqrt(-1)
|
||
|
|
*/
|
||
|
|
extern void FP2_times_i(FP2 *x);
|
||
|
|
|
||
|
|
/** @brief Generate random FP2
|
||
|
|
*
|
||
|
|
@param x random FP2 number
|
||
|
|
@param rng random number generator
|
||
|
|
*/
|
||
|
|
extern void FP2_rand(FP2 *x, core::csprng *rng);
|
||
|
|
|
||
|
|
}
|
||
|
|
|
||
|
|
#endif
|