309 lines
8.1 KiB
C++
309 lines
8.1 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 FP16_YYY_H
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#define FP16_YYY_H
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#include "fp8_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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/**
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@brief FP16 Structure - towered over two FP4
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*/
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typedef struct
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{
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FP8 a; /**< real part of FP16 */
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FP8 b; /**< imaginary part of FP16 */
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} FP16;
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/* FP16 prototypes */
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/** @brief Tests for FP16 equal to zero
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*
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@param x FP16 number to be tested
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@return 1 if zero, else returns 0
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*/
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extern int FP16_iszilch(FP16 *x);
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/** @brief Tests for FP16 equal to unity
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*
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@param x FP16 number to be tested
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@return 1 if unity, else returns 0
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*/
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extern int FP16_isunity(FP16 *x);
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/** @brief Tests for equality of two FP16s
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*
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@param x FP16 instance to be compared
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@param y FP16 instance to be compared
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@return 1 if x=y, else returns 0
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*/
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extern int FP16_equals(FP16 *x, FP16 *y);
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/** @brief Serialize in FP16
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*
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@param b buffer for output
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@param x FP16 number to be serialized
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*/
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extern void FP16_toBytes(char *b,FP16 *x);
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/** @brief Serialize out FP16
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*
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@param x FP16 number to be serialized
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@param b buffer for input
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*/
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extern void FP16_fromBytes(FP16 *x,char *b);
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/** @brief Tests for FP16 having only a real part and no imaginary part
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*
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@param x FP16 number to be tested
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@return 1 if real, else returns 0
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*/
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extern int FP16_isreal(FP16 *x);
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/** @brief Initialise FP16 from two FP8s
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*
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@param x FP16 instance to be initialised
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@param a FP8 to form real part of FP16
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@param b FP8 to form imaginary part of FP16
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*/
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extern void FP16_from_FP8s(FP16 *x, FP8 *a, FP8 *b);
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/** @brief Initialise FP16 from single FP8
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*
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Imaginary part is set to zero
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@param x FP16 instance to be initialised
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@param a FP8 to form real part of FP16
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*/
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extern void FP16_from_FP8(FP16 *x, FP8 *a);
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/** @brief Initialise FP16 from single FP8
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*
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real part is set to zero
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@param x FP16 instance to be initialised
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@param a FP8 to form imaginary part of FP16
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*/
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extern void FP16_from_FP8H(FP16 *x, FP8 *a);
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/** @brief Copy FP16 to another FP16
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*
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@param x FP16 instance, on exit = y
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@param y FP16 instance to be copied
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*/
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extern void FP16_copy(FP16 *x, FP16 *y);
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/** @brief Set FP16 to zero
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*
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@param x FP16 instance to be set to zero
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*/
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extern void FP16_zero(FP16 *x);
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/** @brief Set FP16 to unity
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*
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@param x FP16 instance to be set to one
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*/
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extern void FP16_one(FP16 *x);
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/** @brief Negation of FP16
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*
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@param x FP16 instance, on exit = -y
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@param y FP16 instance
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*/
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extern void FP16_neg(FP16 *x, FP16 *y);
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/** @brief Conjugation of FP16
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*
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If y=(a,b) on exit x=(a,-b)
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@param x FP16 instance, on exit = conj(y)
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@param y FP16 instance
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*/
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extern void FP16_conj(FP16 *x, FP16 *y);
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/** @brief Negative conjugation of FP16
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*
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If y=(a,b) on exit x=(-a,b)
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@param x FP16 instance, on exit = -conj(y)
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@param y FP16 instance
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*/
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extern void FP16_nconj(FP16 *x, FP16 *y);
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/** @brief addition of two FP16s
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*
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@param x FP16 instance, on exit = y+z
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@param y FP16 instance
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@param z FP16 instance
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*/
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extern void FP16_add(FP16 *x, FP16 *y, FP16 *z);
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/** @brief subtraction of two FP16s
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*
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@param x FP16 instance, on exit = y-z
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@param y FP16 instance
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@param z FP16 instance
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*/
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extern void FP16_sub(FP16 *x, FP16 *y, FP16 *z);
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/** @brief Multiplication of an FP16 by an FP8
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*
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@param x FP16 instance, on exit = y*a
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@param y FP16 instance
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@param a FP4 multiplier
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*/
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extern void FP16_pmul(FP16 *x, FP16 *y, FP8 *a);
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/** @brief Multiplication of an FP16 by an FP2
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*
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@param x FP16 instance, on exit = y*a
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@param y FP16 instance
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@param a FP2 multiplier
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*/
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extern void FP16_qmul(FP16 *x, FP16 *y, FP2 *a);
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/** @brief Multiplication of an FP16 by an FP
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*
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@param x FP16 instance, on exit = y*a
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@param y FP16 instance
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@param a FP multiplier
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*/
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extern void FP16_tmul(FP16 *x, FP16 *y, FP *a);
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/** @brief Multiplication of an FP16 by a small integer
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*
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@param x FP16 instance, on exit = y*i
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@param y FP16 instance
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@param i an integer
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*/
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extern void FP16_imul(FP16 *x, FP16 *y, int i);
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/** @brief Squaring an FP16
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*
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@param x FP16 instance, on exit = y^2
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@param y FP16 instance
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*/
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extern void FP16_sqr(FP16 *x, FP16 *y);
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/** @brief Multiplication of two FP16s
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*
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@param x FP16 instance, on exit = y*z
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@param y FP16 instance
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@param z FP16 instance
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*/
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extern void FP16_mul(FP16 *x, FP16 *y, FP16 *z);
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/** @brief Inverting an FP16
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*
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@param x FP16 instance, on exit = 1/y
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@param y FP16 instance
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*/
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extern void FP16_inv(FP16 *x, FP16 *y);
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/** @brief Formats and outputs an FP16 to the console
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*
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@param x FP16 instance to be printed
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*/
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extern void FP16_output(FP16 *x);
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/** @brief Formats and outputs an FP16 to the console in raw form (for debugging)
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*
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@param x FP16 instance to be printed
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*/
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extern void FP16_rawoutput(FP16 *x);
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/** @brief multiplies an FP16 instance by irreducible polynomial sqrt(1+sqrt(-1))
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*
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@param x FP16 instance, on exit = sqrt(1+sqrt(-1)*x
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*/
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extern void FP16_times_i(FP16 *x);
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/** @brief multiplies an FP16 instance by irreducible polynomial (1+sqrt(-1))
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*
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@param x FP16 instance, on exit = sqrt(1+sqrt(-1))^2*x
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*/
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extern void FP16_times_i2(FP16 *x);
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/** @brief multiplies an FP16 instance by irreducible polynomial (1+sqrt(-1))
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*
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@param x FP16 instance, on exit = sqrt(1+sqrt(-1))^4*x
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*/
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extern void FP16_times_i4(FP16 *x);
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/** @brief Normalises the components of an FP16
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*
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@param x FP16 instance to be normalised
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*/
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extern void FP16_norm(FP16 *x);
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/** @brief Reduces all components of possibly unreduced FP16 mod Modulus
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*
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@param x FP16 instance, on exit reduced mod Modulus
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*/
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extern void FP16_reduce(FP16 *x);
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/** @brief Raises an FP16 to the power of a BIG
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*
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@param x FP16 instance, on exit = y^b
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@param y FP16 instance
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@param b BIG number
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*/
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extern void FP16_pow(FP16 *x, FP16 *y, XXX::BIG b);
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/** @brief Raises an FP16 to the power of the internal modulus p, using the Frobenius
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*
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@param x FP16 instance, on exit = x^p
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@param f FP2 precalculated Frobenius constant
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*/
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extern void FP16_frob(FP16 *x, FP2 *f);
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/** @brief Calculates the XTR addition function r=w*x-conj(x)*y+z
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*
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@param r FP16 instance, on exit = w*x-conj(x)*y+z
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@param w FP16 instance
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@param x FP16 instance
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@param y FP16 instance
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@param z FP16 instance
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*/
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extern void FP16_xtr_A(FP16 *r, FP16 *w, FP16 *x, FP16 *y, FP16 *z);
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/** @brief Calculates the XTR doubling function r=x^2-2*conj(x)
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*
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@param r FP16 instance, on exit = x^2-2*conj(x)
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@param x FP16 instance
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*/
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extern void FP16_xtr_D(FP16 *r, FP16 *x);
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/** @brief Calculates FP16 trace of an FP12 raised to the power of a BIG number
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*
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XTR single exponentiation
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@param r FP16 instance, on exit = trace(w^b)
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@param x FP16 instance, trace of an FP12 w
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@param b BIG number
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*/
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extern void FP16_xtr_pow(FP16 *r, FP16 *x, XXX::BIG b);
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/** @brief Calculates FP16 trace of c^a.d^b, where c and d are derived from FP16 traces of FP12s
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*
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XTR double exponentiation
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Assumes c=tr(x^m), d=tr(x^n), e=tr(x^(m-n)), f=tr(x^(m-2n))
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@param r FP16 instance, on exit = trace(c^a.d^b)
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@param c FP16 instance, trace of an FP12
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@param d FP16 instance, trace of an FP12
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@param e FP16 instance, trace of an FP12
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@param f FP16 instance, trace of an FP12
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@param a BIG number
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@param b BIG number
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*/
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extern void FP16_xtr_pow2(FP16 *r, FP16 *c, FP16 *d, FP16 *e, FP16 *f, XXX::BIG a, XXX::BIG b);
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/** @brief Conditional copy of FP16 number
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*
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Conditionally copies second parameter to the first (without branching)
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@param x FP16 instance, set to y if s!=0
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@param y another FP16 instance
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@param s copy only takes place if not equal to 0
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*/
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extern void FP16_cmove(FP16 *x, FP16 *y, int s);
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}
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#endif
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