245 lines
4.9 KiB
C++
245 lines
4.9 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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[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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1 Defines and Includes
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*/
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#ifndef NUMERICUTIL_H_
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#define NUMERICUTIL_H_
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#include <limits>
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namespace temporalalgebra {
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namespace mregionops {
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const double MAX_DOUBLE = std::numeric_limits<double>::max();
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const double MIN_DOUBLE = -MAX_DOUBLE;
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/*
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1 Class NumericUtil
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*/
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class NumericUtil {
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public:
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//static const double eps = 0.01;
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//static const double eps = 0.001;
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//static const double eps = 0.0001;
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//static const double eps = 0.00001;
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static constexpr double eps = 0.000001;
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//static const double eps = 0.0000001;
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//static const double eps = 0.00000001;
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/*
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1.1 NearlyEqual
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Returns ~true~ if $-eps \le a-b \le eps$.
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*/
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inline static bool NearlyEqual(double a, double b) {
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return fabs(a - b) <= eps;
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}
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inline static bool NearlyEqual(double a,
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double b,
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double _eps) {
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return fabs(a - b) < _eps;
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}
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/*
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1.1 LowerOrNearlyEqual
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Returns ~true~ if $a \le b+eps$.
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*/
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inline static bool LowerOrNearlyEqual(double a, double b) {
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return a < b || NearlyEqual(a, b);
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}
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inline static bool LowerOrNearlyEqual(double a,
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double b,
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double _eps) {
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return a < b || NearlyEqual(a, b, _eps);
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}
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/*
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1.1 Lower
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Returns ~true~ if $a < b-eps$.
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*/
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inline static bool Lower(double a, double b) {
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return a < b - eps;
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}
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inline static bool Lower(double a, double b, double _eps) {
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return a < b - _eps;
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}
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/*
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1.1 GreaterOrNearlyEqual
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Returns ~true~ if $a \ge b-eps$.
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*/
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inline static bool GreaterOrNearlyEqual(double a, double b) {
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return a > b || NearlyEqual(a, b);
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}
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inline static bool GreaterOrNearlyEqual(double a,
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double b,
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double _eps) {
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return a > b || NearlyEqual(a, b, _eps);
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}
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/*
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1.1 Greater
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Returns ~true~ if $a > b+eps$.
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*/
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inline static bool Greater(double a, double b) {
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return a > b + eps;
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}
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inline static bool Greater(double a,
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double b,
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double _eps) {
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return a > b + _eps;
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}
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/*
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1.1 Between
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Returns ~true~ if $a-eps \le x \le b+eps$ or $b-eps \le x \le a+eps$.
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*/
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inline static bool Between(double a, double x, double b) {
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return (LowerOrNearlyEqual(a, x) &&
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LowerOrNearlyEqual(x, b)) ||
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(LowerOrNearlyEqual(b, x) &&
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LowerOrNearlyEqual(x, a));
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}
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inline static bool Between(double a,
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double x,
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double b,
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double _eps) {
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return (LowerOrNearlyEqual(a, x, _eps) &&
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LowerOrNearlyEqual(x, b, _eps)) ||
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(LowerOrNearlyEqual(b, x, _eps) &&
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LowerOrNearlyEqual(x, a, _eps));
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}
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/*
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1.1 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>
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MinMax4(double a, double b, double c, double d) {
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double min = a;
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double max = a;
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if (b < min)
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min = b;
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if (b > max)
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max = b;
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if (c < min)
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min = c;
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if (c > max)
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max = c;
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if (d < min)
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min = d;
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if (d > max)
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max = d;
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return std::pair<double, double>(min, max);
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}
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private:
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NumericUtil() {
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}
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};
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/*
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1 Struct DoubleCompare
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*/
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struct DoubleCompare {
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inline bool operator()(const double& d1, const double& d2) const {
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return NumericUtil::Lower(d1, d2);
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}
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};
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} // end of namespace mregionops
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} // end of namespace temporalalgebra
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#endif /*NUMERICUTIL_H_*/
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