188 lines
6.0 KiB
C++
188 lines
6.0 KiB
C++
/*
|
|
----
|
|
This file is part of SECONDO.
|
|
|
|
Copyright (C) 2008, University in Hagen, Department of Computer Science,
|
|
Database Systems for New Applications.
|
|
|
|
SECONDO is free software; you can redistribute it and/or modify
|
|
it under the terms of the GNU General Public License as published by
|
|
the Free Software Foundation; either version 2 of the License, or
|
|
(at your option) any later version.
|
|
|
|
SECONDO is distributed in the hope that it will be useful,
|
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
|
GNU General Public License for more details.
|
|
|
|
You should have received a copy of the GNU General Public License
|
|
along with SECONDO; if not, write to the Free Software
|
|
Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
|
|
----
|
|
|
|
//paragraph [1] Title: [{\Large \bf \begin {center}] [\end {center}}]
|
|
//[TOC] [\tableofcontents]
|
|
//[ue] [\"u]
|
|
//[ae] [\"a]
|
|
//[oe] [\"o]
|
|
//[x] [$\times $]
|
|
//[->] [$\rightarrow $]
|
|
|
|
[1] Definition and Implementation of the class ~NumericUtil~
|
|
|
|
April - November 2008, M. H[oe]ger for bachelor thesis.
|
|
Mai - November 2017, U. Wiesecke for master thesis.
|
|
|
|
[TOC]
|
|
|
|
1 Introduction
|
|
|
|
This file contains the definition and implementation of the class
|
|
~NumericUtil~ which provides several static methods to compare
|
|
floating point values.
|
|
|
|
1 Defines and Includes
|
|
|
|
*/
|
|
|
|
#include "NumericUtil.h"
|
|
|
|
using namespace std;
|
|
|
|
namespace temporalalgebra {
|
|
namespace mregionops3 {
|
|
/*
|
|
2 Class NumericUtil
|
|
|
|
*/
|
|
bool NumericUtil::nearlyEqual(const double& a,const double& b){
|
|
return fabs(a - b) <= eps;
|
|
}// nearlyEqual
|
|
|
|
bool NumericUtil::nearlyEqual(const double& a, const double& b,
|
|
const double& e){
|
|
return fabs(a - b) <= e;
|
|
}// nearlyEqual
|
|
|
|
bool NumericUtil::nearlyEqual(const mpq_class& a,
|
|
const mpq_class& b){
|
|
return abs(a - b) <= eps;
|
|
}// nearlyEqual
|
|
|
|
bool NumericUtil::nearlyEqual(const mpq_class& a,
|
|
const mpq_class& b,
|
|
const mpq_class& e){
|
|
return abs(a - b) <= e;
|
|
}// nearlyEqual
|
|
|
|
bool NumericUtil::lower(const double& a, const double& b){
|
|
return a < b - eps;
|
|
}// lower
|
|
|
|
bool NumericUtil::lower(const double& a, const double& b,
|
|
const double& e){
|
|
return a < b - e;
|
|
}// lower
|
|
|
|
bool NumericUtil::lower(const mpq_class& a, const mpq_class& b){
|
|
return a < b - eps;
|
|
}// lower
|
|
|
|
bool NumericUtil::lowerOrNearlyEqual(const double& a, const double& b) {
|
|
return a < b || nearlyEqual(a, b);
|
|
}// lowerOrNearlyEqual
|
|
|
|
|
|
bool NumericUtil::lowerOrNearlyEqual(const double& a, const double& b,
|
|
const double& e) {
|
|
return a < b || nearlyEqual(a, b, e);
|
|
}// lowerOrNearlyEqual
|
|
|
|
bool NumericUtil::lowerOrNearlyEqual(const mpq_class& a,
|
|
const mpq_class& b) {
|
|
return a < b || nearlyEqual(a, b);
|
|
}// lowerOrNearlyEqual
|
|
|
|
bool NumericUtil::greater(const double& a, const double& b){
|
|
return a > b + eps;
|
|
}// greater
|
|
|
|
bool NumericUtil::greater(const mpq_class& a, const mpq_class& b){
|
|
return a > b + eps;
|
|
}// greater
|
|
|
|
bool NumericUtil::greaterOrNearlyEqual(const double& a, const double& b){
|
|
return a > b || nearlyEqual(a, b);
|
|
}// greaterOrNearlyEqual
|
|
|
|
bool NumericUtil::greaterOrNearlyEqual(const double& a, const double& b,
|
|
const double& e){
|
|
return a > b || nearlyEqual(a, b, e);
|
|
}// greaterOrNearlyEqual
|
|
|
|
bool NumericUtil::greaterOrNearlyEqual(const mpq_class& a,
|
|
const mpq_class& b){
|
|
return a > b || nearlyEqual(a, b);
|
|
}// greaterOrNearlyEqual
|
|
|
|
bool NumericUtil::between(const double& a, const double& x,
|
|
const double& b){
|
|
return (lowerOrNearlyEqual(a, x) &&
|
|
lowerOrNearlyEqual(x, b)) ||
|
|
(lowerOrNearlyEqual(b, x) &&
|
|
lowerOrNearlyEqual(x, a));
|
|
}// between
|
|
|
|
bool NumericUtil::between(const mpq_class& a, const mpq_class& x,
|
|
const mpq_class& b){
|
|
return (lowerOrNearlyEqual(a, x) &&
|
|
lowerOrNearlyEqual(x, b)) ||
|
|
(lowerOrNearlyEqual(b, x) &&
|
|
lowerOrNearlyEqual(x, a));
|
|
}// between
|
|
|
|
std::pair<double, double> NumericUtil::minMax4(const double& a,
|
|
const double& b,
|
|
const double& c,
|
|
const double& d) {
|
|
double min = a;
|
|
double max = a;
|
|
if (b < min) min = b;
|
|
if (b > max) max = b;
|
|
if (c < min) min = c;
|
|
if (c > max) max = c;
|
|
if (d < min) min = d;
|
|
if (d > max) max = d;
|
|
return std::pair<double, double>(min, max);
|
|
}// minMax4
|
|
/*
|
|
2 Class NumericFailure
|
|
|
|
*/
|
|
NumericFailure::NumericFailure(const string &message, const char *file,
|
|
int line, const char *function):
|
|
runtime_error(message){
|
|
ostringstream out;
|
|
out << "Numeric exception has occurred in '" << function << "', file '";
|
|
out << file << "' at line " << line << ". " << message;
|
|
this->message = out.str();
|
|
}// Konstruktor
|
|
|
|
NumericFailure::~NumericFailure() throw() {
|
|
}// Destruktor
|
|
|
|
const char *NumericFailure::what() const throw() {
|
|
return this->message.c_str();
|
|
}// what
|
|
|
|
void displayError(const std::string &message, const char *file, int line){
|
|
cerr << "!!! Error !!!" << endl;
|
|
cerr << message << endl;
|
|
cerr << "Numeric exception has occurred in file '";
|
|
cerr << file << "' at line " << line << ". " << message << endl << endl;
|
|
assert(false);
|
|
}// displayError
|
|
|
|
} // end of namespace mregionops3
|
|
} // end of namespace temporalalgebra
|
|
|