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/*
* LatticeMatch calculator - class used for angles
* Copyright (C) 2015 Andreas Grois
*
* This program 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.
*
* This program 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 this program; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
*
*
* A small class that deals with ranges of angles. Its members are two angles, maximum and minimum.
* The main purpose of this class is to provide an easy way to determine the overlap of two ranges.
* There is no support for disjoint ranges (yet).
* Probably that would better be left for a separate class anyhow. Think: vector of anglerange objects
*
* There is an important convention with this class:
* Ranges are always clockwise from the lower to the upper bound.
* They include the lower and the upper bound, as this is required to be able to contain individual points.
*
* This class is part of the LatticeMatch program.
*
* To contact the author either use electronic mail: Andreas Grois <andreas.grois@jku.at>
* or write to:
* Andreas Grois, Institute for Semiconductor and SolidState physics, Johannes Kepler University,
* Altenbergerstraße 69, 4040 Linz, AUSTRIA
*/
#include "anglerange.h"
#include <cmath>
anglerange::anglerange()
{
lowerborder = angleclass(0.0);
upperborder = angleclass(0.0);
upperset = false;
lowerset = false;
}
anglerange::anglerange(const angleclass &lower, const angleclass &upper)
{
lowerborder = lower;
upperborder = upper;
upperset = true;
lowerset = true;
}
bool anglerange::isempty() const
{
return(!upperset || !lowerset);
}
angleclass anglerange::getupper() const
{
return(upperborder);
}
angleclass anglerange::getlower() const
{
return(lowerborder);
}
void anglerange::setupper(const angleclass &newupper)
{
upperborder=newupper;
upperset = true;
}
void anglerange::setlower(const angleclass &newlower)
{
lowerborder=newlower;
lowerset = true;
}
void anglerange::setempty()
{
upperset = false;
lowerset = false;
lowerborder = 0.0;
upperborder = 0.0;
}
anglerange anglerange::overlap(const anglerange &other)
{
//storage for the return value:
anglerange retval; //anglerange constructor without arguments: emtpy range [0:0]
//first: if one of the input ranges is empty, don't do anything, leave retval empty!
if(!(isempty()) && !(other.isempty()))
{
//Here we need to take care to always follow the counter-clockwise convention.
//This leaves us with four possibilities:
//a) Both ranges contain the zero-line
//b) This range contains the zero-line, the other doesn't
//c) Vice versa
//d) Both ranges are regular.
//first check if this range contains the zero-line
if(lowerborder>upperborder)
{
//ok, this range is around zero. Let's check the other one too:
if(other.getlower()>other.getupper())
{
//ok, both ranges contain the zero-line. This makes some things easier, as we know there's
//an overlap
retval.setlower(fmax(lowerborder.getval(),other.getlower().getval()));
retval.setupper(fmin(upperborder.getval(),other.getupper().getval()));
}
else
{
//this contains zero, other doesn't.
//This cannot fully lie within other, but other can lie fully within this.
//The result does obviously not contain zero.
//Let's check if other is within this.
if(other.getupper()<=upperborder || other.getlower()>=lowerborder){
retval.setlower(other.getlower());
retval.setupper(other.getupper());
}
else if(other.getupper()>=lowerborder) //not >, as per definition upperborder is inside range
{
retval.setlower(lowerborder);
retval.setupper(other.getupper());
}
else if(other.getlower()<=upperborder) //not <, as again upperborder is inside.
{
retval.setlower(other.getlower());
retval.setupper(upperborder);
}
}
}
else
{
//this is regular, is other as well?
if(other.getlower()>other.getupper())
{
//so, other cannot lie in this, but this can be in other.
//Let's check for that.
if(upperborder<=other.getupper() || lowerborder>=other.getlower()){
retval.setlower(lowerborder);
retval.setupper(upperborder);
}
else if(lowerborder <= other.getupper())
{
retval.setlower(lowerborder);
retval.setupper(other.getupper());
}
else if(upperborder >= other.getlower())
{
retval.setlower(other.getlower());
retval.setupper(upperborder);
}
}
else //both ranges regular
{
double curmax = fmin(other.getupper().getval(),upperborder.getval());
double curmin = fmax(other.getlower().getval(),lowerborder.getval());
if(curmax>=curmin){
retval.setlower(curmin);
retval.setupper(curmax);
}
}
}
}
return(retval);
}
anglerange anglerange::combine(const anglerange &other)
{
anglerange retval;
//check if any of the ranges is empty. If yes: return an empty range as well.
if(!(isempty()) && !(other.isempty())){
//Here we need to take care to always follow the counter-clockwise convention.
//This leaves us with four possibilities:
//a) Both ranges contain the zero-line
//b) This range contains the zero-line, the other doesn't
//c) Vice versa
//d) Both ranges are regular.
//first check if this range contains the zero-line
if(lowerborder>upperborder)
{
//ok, this range is around zero. Let's check the other one too:
if(other.getlower()>other.getupper())
{
//ok, both ranges contain the zero-line.
retval.setlower(fmin(lowerborder.getval(),other.getlower().getval()));
retval.setupper(fmax(upperborder.getval(),other.getupper().getval()));
}
else
{
//this contains zero, other doesn't.
//This cannot fully lie within other, but other can lie fully within this.
//The result does obviously contain zero.
//Let's check if other is within this.
if(other.getupper()<=upperborder || other.getlower()>=lowerborder){
retval.setlower(lowerborder);
retval.setupper(upperborder);
}
else if(other.getupper()>=lowerborder) //not >, as per definition upperborder is inside range
{
retval.setlower(other.getlower());
retval.setupper(upperborder);
}
else if(other.getlower()<=upperborder) //not <, as again upperborder is inside.
{
retval.setlower(lowerborder);
retval.setupper(other.getupper());
}
}
}
else
{
//this is regular, is other as well?
if(other.getlower()>other.getupper())
{
//so, other cannot lie in this, but this can be in other.
//Let's check for that.
if(upperborder<=other.getupper() || lowerborder>=other.getlower()){
retval.setlower(other.getlower());
retval.setupper(other.getupper());
}
else if(lowerborder <= other.getupper())
{
retval.setlower(other.getlower());
retval.setupper(upperborder);
}
else if(upperborder >= other.getlower())
{
retval.setlower(lowerborder);
retval.setupper(other.getupper());
}
}
else //both ranges regular
{
//check if there's an overlap
double curmax = fmin(other.getupper().getval(),upperborder.getval());
double curmin = fmax(other.getlower().getval(),lowerborder.getval());
if(curmax>=curmin){
//there is an overlap - set limits
retval.setlower(fmin(other.getlower().getval(),lowerborder.getval()));
retval.setupper(fmax(other.getupper().getval(),upperborder.getval()));
}
}
}
}
return(retval);
}
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