2017-02-27 22:23:06 +00:00
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/*-
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2018-08-04 18:44:35 +00:00
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* Copyright (c) 2014-2018 Carsten Sonne Larsen <cs@innolan.net>
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2015-03-08 22:14:50 +00:00
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* All rights reserved.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* are met:
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* 1. Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in the
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* documentation and/or other materials provided with the distribution.
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*
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* THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
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* IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
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* OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
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* IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
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* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
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* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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* DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
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* THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
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* THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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*
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2017-02-27 22:23:06 +00:00
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* Project homepage:
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2017-07-14 09:30:24 +00:00
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* https://amath.innolan.net
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2017-02-27 22:23:06 +00:00
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*
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2015-03-08 22:14:50 +00:00
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*/
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2017-02-27 22:23:06 +00:00
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#ifndef AMATH_NUMBER_H
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#define AMATH_NUMBER_H
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2015-04-07 18:25:11 +00:00
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#if __GNUC__ > 2
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#pragma GCC diagnostic ignored "-Wshadow"
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#endif
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/**
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* @file numb.h
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2017-04-12 22:50:51 +00:00
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* @brief Class base handling of numbers
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2015-03-08 22:14:50 +00:00
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*/
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2017-04-12 22:50:51 +00:00
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#include "amath.h"
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union FloatUnion64 {
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bool IsNegative() const { return (integer >> 63) != 0; }
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bool IsZero() const { return integer == 0; }
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bool IsInf() const { return GetExponent() == 0x7FF && GetMantissa() == 0; }
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bool IsNaN() const { return GetExponent() == 0x7FF && GetMantissa() != 0; }
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bool IsMaxPositive() const { return integer == 0x7EFFFFFFFFFFFFFFull; }
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bool IsMaxNegative() const { return integer == 0x7FFFFFFFFFFFFFFFull; }
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int32_t GetExponent() const { return (integer >> 52) & 0x7FF; }
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uint64_t GetMantissa() const { return integer & 0xFFFFFFFFFFFFFull; }
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double floatingPoint;
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uint64_t integer;
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};
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typedef enum
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{
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nsysnatural,
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nsysrational,
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nsysreal,
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nsyscomplex,
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nsysnan
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} NumberSystem;
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struct Number
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{
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public:
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explicit Number(NumberSystem system) :
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system(system)
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{
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}
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virtual ~Number()
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{
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}
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virtual Number* Clone() = 0;
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virtual int GetIntegerValue() = 0;
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virtual double GetRealValue() = 0;
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virtual bool PureComplexValue() = 0;
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virtual int GetPrecedence() = 0;
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virtual int GetDefaultPrecedence() = 0;
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virtual bool IsNegative() = 0;
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virtual bool IsZero() = 0;
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virtual bool IsNaN() = 0;
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virtual bool IsInfinite() = 0;
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virtual bool IsNotImplemented() = 0;
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virtual Number* Unary() = 0;
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virtual Number* Add(Number* other) = 0;
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virtual Number* Sub(Number* other) = 0;
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virtual Number* Mul(Number* other) = 0;
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virtual Number* Div(Number* other) = 0;
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virtual Number* Raise(Number* exponent) = 0;
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virtual Number* Signum() = 0;
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virtual Number* Trunc() = 0;
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virtual Number* Round() = 0;
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virtual Number* Floor() = 0;
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virtual Number* Ceiling() = 0;
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virtual Number* Absolute() = 0;
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virtual Number* SquareRoot() = 0;
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virtual Number* CubeRoot() = 0;
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virtual Number* Reciprocal() = 0;
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virtual Number* Factorial() = 0;
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virtual Number* Log() = 0;
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virtual Number* Log2() = 0;
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virtual Number* Log10() = 0;
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virtual Number* Sine() = 0;
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virtual Number* Cosine() = 0;
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virtual Number* Tangent() = 0;
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virtual Number* Cosecant() = 0;
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virtual Number* Secant() = 0;
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virtual Number* Cotangent() = 0;
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virtual Number* Chord() = 0;
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virtual Number* ExSecant() = 0;
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virtual Number* ExCosecant() = 0;
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virtual Number* ArcSine() = 0;
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virtual Number* ArcCosine() = 0;
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virtual Number* ArcTangent() = 0;
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virtual Number* ArcCosecant() = 0;
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virtual Number* ArcSecant() = 0;
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virtual Number* ArcCotangent() = 0;
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virtual Number* ArcChord() = 0;
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virtual Number* ArcExSecant() = 0;
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virtual Number* ArcExCosecant() = 0;
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virtual Number* HypSine() = 0;
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virtual Number* HypCosine() = 0;
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virtual Number* HypTangent() = 0;
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virtual Number* HypCosecant() = 0;
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virtual Number* HypSecant() = 0;
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virtual Number* HypCotangent() = 0;
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virtual Number* HypArcSine() = 0;
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virtual Number* HypArcCosine() = 0;
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virtual Number* HypArcTangent() = 0;
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virtual Number* HypArcCosecant() = 0;
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virtual Number* HypArcSecant() = 0;
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virtual Number* HypArcCotangent() = 0;
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virtual Number* VerSine() = 0;
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virtual Number* VerCosine() = 0;
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virtual Number* CoVerSine() = 0;
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virtual Number* CoVerCosine() = 0;
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virtual Number* HaVerSine() = 0;
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virtual Number* HaVerCosine() = 0;
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virtual Number* HaCoVerSine() = 0;
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virtual Number* HaCoVerCosine() = 0;
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virtual Number* ArcVerSine() = 0;
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virtual Number* ArcVerCosine() = 0;
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virtual Number* ArcCoVerSine() = 0;
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virtual Number* ArcCoVerCosine() = 0;
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virtual Number* ArcHaVerSine() = 0;
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virtual Number* ArcHaVerCosine() = 0;
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virtual Number* ArcHaCoVerSine() = 0;
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virtual Number* ArcHaCoVerCosine() = 0;
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2015-03-08 22:14:50 +00:00
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friend class PositionalNumeralSystem;
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friend class DecimalSystem;
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friend struct IntegerNumber;
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friend struct RealNumber;
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friend struct ComplexNumber;
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protected:
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NumberSystem system;
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};
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2017-02-27 22:23:06 +00:00
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#endif
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