/* * 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 FP24_BLS24479_H #define FP24_BLS24479_H #include "fp8_BLS24479.h" using namespace core; namespace BLS24479 { /** @brief FP12 Structure - towered over three FP8 */ typedef struct { FP8 a; /**< first part of FP12 */ FP8 b; /**< second part of FP12 */ FP8 c; /**< third part of FP12 */ int type; } FP24; extern const B480_29::BIG Fra; /**< real part of BN curve Frobenius Constant */ extern const B480_29::BIG Frb; /**< imaginary part of BN curve Frobenius Constant */ /* FP24 prototypes */ /** @brief Tests for FP24 equal to zero * @param x FP24 number to be tested @return 1 if zero, else returns 0 */ extern int FP24_iszilch(FP24 *x); /** @brief Tests for FP24 equal to unity * @param x FP24 number to be tested @return 1 if unity, else returns 0 */ extern int FP24_isunity(FP24 *x); /** @brief Copy FP24 to another FP24 * @param x FP24 instance, on exit = y @param y FP24 instance to be copied */ extern void FP24_copy(FP24 *x, FP24 *y); /** @brief Set FP24 to unity * @param x FP24 instance to be set to one */ extern void FP24_one(FP24 *x); /** @brief Set FP24 to zero * @param x FP24 instance to be set to zero */ extern void FP24_zero(FP24 *x); /** @brief Tests for equality of two FP24s * @param x FP24 instance to be compared @param y FP24 instance to be compared @return 1 if x=y, else returns 0 */ extern int FP24_equals(FP24 *x, FP24 *y); /** @brief Conjugation of FP24 * If y=(a,b,c) (where a,b,c are its three FP8 components) on exit x=(conj(a),-conj(b),conj(c)) @param x FP24 instance, on exit = conj(y) @param y FP24 instance */ extern void FP24_conj(FP24 *x, FP24 *y); /** @brief Initialise FP24 from single FP8 * Sets first FP8 component of an FP24, other components set to zero @param x FP24 instance to be initialised @param a FP8 to form first part of FP8 */ extern void FP24_from_FP8(FP24 *x, FP8 *a); /** @brief Initialise FP24 from three FP8s * @param x FP24 instance to be initialised @param a FP8 to form first part of FP24 @param b FP8 to form second part of FP24 @param c FP8 to form third part of FP24 */ extern void FP24_from_FP8s(FP24 *x, FP8 *a, FP8* b, FP8 *c); /** @brief Fast Squaring of an FP24 in "unitary" form * @param x FP24 instance, on exit = y^2 @param y FP8 instance, must be unitary */ extern void FP24_usqr(FP24 *x, FP24 *y); /** @brief Squaring an FP24 * @param x FP24 instance, on exit = y^2 @param y FP24 instance */ extern void FP24_sqr(FP24 *x, FP24 *y); /** @brief Fast multiplication of two sparse FP24s that arises from ATE pairing line functions * @param x FP24 instance, on exit = x*y @param y FP24 instance, of special form */ extern void FP24_smul(FP24 *x, FP24 *y); /** @brief Fast multiplication of what may be sparse multiplicands * @param x FP24 instance, on exit = x*y @param y FP24 instance, of special form */ extern void FP24_ssmul(FP24 *x, FP24 *y); /** @brief Full unconditional Multiplication of two FP24s * @param x FP24 instance, on exit = x*y @param y FP24 instance, the multiplier */ extern void FP24_mul(FP24 *x, FP24 *y); /** @brief Inverting an FP24 * @param x FP24 instance, on exit = 1/y @param y FP24 instance */ extern void FP24_inv(FP24 *x, FP24 *y); /** @brief Raises an FP24 to the power of a BIG * @param r FP24 instance, on exit = y^b @param x FP24 instance @param b BIG number */ extern void FP24_pow(FP24 *r, FP24 *x, B480_29::BIG b); //extern void FP24_ppow(FP24 *r,FP24 *x,B480_29::BIG b); /** @brief Raises an FP24 instance x to a small integer power, side-channel resistant * @param x FP24 instance, on exit = x^i @param i small integer exponent @param b maximum number of bits in exponent */ extern void FP24_pinpow(FP24 *x, int i, int b); /** @brief Raises an FP24 instance x to a BIG power, compressed to FP8 * @param c FP8 instance, on exit = x^(e mod r) as FP8 @param x FP24 input @param e BIG exponent @param r BIG group order */ extern void FP24_compow(FP8 *c, FP24 *x, B480_29::BIG e, B480_29::BIG r); /** @brief Calculate Pi x[i]^b[i] for i=0 to 7, side-channel resistant * @param r FP24 instance, on exit = Pi x[i]^b[i] for i=0 to 7 @param x FP24 array with 4 FP24s @param b BIG array of 4 exponents */ extern void FP24_pow8(FP24 *r, FP24 *x, B480_29::BIG *b); /** @brief Raises an FP24 to the power of the internal modulus p, using the Frobenius * @param x FP24 instance, on exit = x^p^n @param f FP2 precalculated Frobenius constant @param n power of p */ extern void FP24_frob(FP24 *x, FP2 *f, int n); /** @brief Reduces all components of possibly unreduced FP24 mod Modulus * @param x FP24 instance, on exit reduced mod Modulus */ extern void FP24_reduce(FP24 *x); /** @brief Normalises the components of an FP24 * @param x FP24 instance to be normalised */ extern void FP24_norm(FP24 *x); /** @brief Formats and outputs an FP24 to the console * @param x FP24 instance to be printed */ extern void FP24_output(FP24 *x); /** @brief Formats and outputs an FP24 instance to an octet string * Serializes the components of an FP24 to big-endian base 256 form. @param S output octet string @param x FP24 instance to be converted to an octet string */ extern void FP24_toOctet(octet *S, FP24 *x); /** @brief Creates an FP24 instance from an octet string * De-serializes the components of an FP24 to create an FP24 from big-endian base 256 components. @param x FP24 instance to be created from an octet string @param S input octet string */ extern void FP24_fromOctet(FP24 *x, octet *S); /** @brief Calculate the trace of an FP24 * @param t FP8 trace of x, on exit = tr(x) @param x FP24 instance */ extern void FP24_trace(FP8 *t, FP24 *x); /** @brief Conditional copy of FP24 number * Conditionally copies second parameter to the first (without branching) @param x FP24 instance, set to y if s!=0 @param y another FP24 instance @param s copy only takes place if not equal to 0 */ extern void FP24_cmove(FP24 *x, FP24 *y, int s); } #endif