166 lines
4.6 KiB
C++
166 lines
4.6 KiB
C++
/*
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----
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This file is part of SECONDO.
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Copyright (C) 2008, University in Hagen, Department of Computer Science,
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Database Systems for New Applications.
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SECONDO is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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SECONDO is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with SECONDO; if not, write to the Free Software
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Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
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----
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//paragraph [1] Title: [{\Large \bf \begin {center}] [\end {center}}]
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//[TOC] [\tableofcontents]
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//[ue] [\"u]
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//[ae] [\"a]
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//[oe] [\"o]
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//[x] [$\times $]
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//[->] [$\rightarrow $]
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[1] Definition and Implementation of the class ~NumericUtil~
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April - November 2008, M. H[oe]ger for bachelor thesis.
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Mai - November 2017, U. Wiesecke for master thesis.
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[TOC]
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1 Introduction
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This file contains the definition and implementation of the class
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~NumericUtil~ which provides several static methods to compare
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floating point values.
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2 Defines and Includes
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*/
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#include <math.h>
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#include <string>
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#include <gmp.h>
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#include <gmpxx.h>
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#include <iostream>
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#include <sstream>
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#include <stdexcept>
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#include <assert.h>
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#ifndef NUMERICUTIL_H
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#define NUMERICUTIL_H
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namespace temporalalgebra {
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namespace mregionops3 {
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/*
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3 Class NumericUtil
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*/
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class NumericUtil{
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public:
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static constexpr double eps = 0.00000000001;
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static constexpr double epsRelaxFactor = 1000;
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/*
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3.1 nearlyEqual
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Returns ~true~ if $-eps \le a-b \le eps$.
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*/
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static bool nearlyEqual(const double& a, const double& b);
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static bool nearlyEqual(const double& a, const double& b,
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const double& e);
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static bool nearlyEqual(const mpq_class& a, const mpq_class& b);
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static bool nearlyEqual(const mpq_class& a, const mpq_class& b,
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const mpq_class& e);
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/*
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3.2 lower
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Returns ~true~ if $a < b-eps$.
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*/
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static bool lower(const double& a, const double& b);
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static bool lower(const double& a, const double& b, const double& e);
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static bool lower(const mpq_class& a, const mpq_class& b);
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static bool lowerOrNearlyEqual(const double& a, const double& b);
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static bool lowerOrNearlyEqual(const double& a, const double& b,
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const double& e);
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static bool lowerOrNearlyEqual(const mpq_class& a,
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const mpq_class& b);
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/*
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3.3 greater
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Returns ~true~ if $a > b+eps$.
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*/
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static bool greater(const mpq_class& a, const mpq_class& b);
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static bool greater(const double& a, const double& b);
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static bool greaterOrNearlyEqual(const double& a, const double& b);
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static bool greaterOrNearlyEqual(const double& a, const double& b,
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const double& e);
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static bool greaterOrNearlyEqual(const mpq_class& a,
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const mpq_class& b);
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static bool between(const double& a, const double& x, const double& b);
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static bool between(const mpq_class& a, const mpq_class& x,
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const mpq_class& b);
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/*
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3.4 minMax4
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Returns the minimum and maximum value of $a$, $b$, $c$ and $d$.
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*/
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static std::pair<double, double> minMax4(const double& a,
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const double& b,
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const double& c,
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const double& d);
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};
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/*
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4 Class NumericFailure
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idea from http://stackoverflow.com/questions/348833 (11.03.2017)
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*/
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class NumericFailure : public std::runtime_error {
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public:
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/*
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4.1 Constructor
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*/
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NumericFailure(const std::string &message, const char *file, int line,
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const char *function);
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/*
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4.2 Destructor
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*/
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~NumericFailure() throw();
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/*
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4.3 what
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*/
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const char *what() const throw();
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private:
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std::string message;
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};
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void displayError(const std::string &message, const char *file, int line);
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// #define NUM_FAIL(arg) throw NumericFailure(arg, __FILE__, __LINE__,__func__);
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#define NUM_FAIL(arg) displayError(arg, __FILE__, __LINE__);
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} // end of namespace mregionops3
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} // end of namespace temporalalgebra
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#endif
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// NUMERICUTIL_H
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