551 lines
12 KiB
C
551 lines
12 KiB
C
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/*
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//[_] [\_]
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//[TOC] [\tableofcontents]
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//[Title] [ \title{RobustGeometry} \author{Katja Koch} \maketitle]
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//[times] [\ensuremath{\times}]
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//[->] [\ensuremath{\rightarrow}]
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[1] Header File of the RobustGeometryAlgebra
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[TOC]
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1 Overview
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This header file essentially contains the definition of the classes ~BOLine~ and
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~BOEvent~ used for Bentley-Ottmann algorithm and for Hobby algorithm.
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~HOBatch~ and ~ToleranceSquare~ used for Hobby algorithm.
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1 Preliminaries
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1.1 Includes and global declarations
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*/
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#ifndef __ROBUSTGEOMETRY_ALGEBRA_H__
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#define __ROBUSTGEOMETRY_ALGEBRA_H__
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#include "Algebras/Spatial/HalfSegment.h"
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#include "Algebras/Spatial/AVLSegment.h"
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#include "Algebras/Spatial/Coord.h"
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#include <iosfwd>
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using std::ostream;
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namespace robustGeometry {
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/*
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stay away of this infinitesimal value to on side of the border,
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used to build and ask the borders of ToleranceSquare
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*/
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double const Epsilon = 0.000001;
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/*
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ScaleFactor used for variable grid size
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*/
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double const ScaleFactor = 0.5;
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/*
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valid values for BOEvents
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*/
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enum BOPointType{start, end, intersect};
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/*
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valid values for BOOwner
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*/
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enum BOOwnerType{first, second, both};
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/*
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1 Class ~BOLine~
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This class implements the line object
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*/
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class BOLine
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{
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public:
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/*
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1.1 Constructors and Destructors
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*/
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BOLine(){};
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BOLine(const BOLine& line);
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BOLine( const double x1, const double y1,
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const double x2, const double y2,
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const BOOwnerType owner);
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~BOLine(void){};
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/*
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1.2 Functions for reading and setting values
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*/
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void setX1( const double x ) const ;
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void setX2( const double x ) const ;
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void setY1( const double y ) const ;
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void setY2( const double y ) const ;
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void setX1_round( const double x );
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void setX2_round( const double x );
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void setY1_round( const double y );
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void setY2_round( const double y );
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void setOwner( const BOOwnerType owner );
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double getX1( ) const { return x1; };
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double getX2( ) const { return x2; };
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double getY1( ) const { return y1; };
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double getY2( ) const { return y2; };
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double getX1_round( ) const { return x1_r; };
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double getX2_round( ) const { return x2_r; };
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double getY1_round( ) const { return y1_r; };
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double getY2_round( ) const { return y2_r; };
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BOOwnerType getOwner( ) const { return owner; };
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friend bool operator < (const BOLine& l1,
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const BOLine& l2) {
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if ( l1.getX1() < l2.getX1() )
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return true;
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else if ( (l1.getX1() == l2.getX1() ) &&
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(l1.getY1() < l2.getY1() ) )
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return true;
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else if ( (l1.getX1() == l2.getX1() ) &&
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(l1.getY1() == l2.getY1() ) &&
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(l1.getX2() < l2.getX2() ) )
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return true;
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else if ( (l1.getX1() == l2.getX1() ) &&
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(l1.getY1() == l2.getY1() ) &&
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(l1.getX2() == l2.getX2() ) &&
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(l1.getY2() < l2.getY2() ) )
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return true;
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else if ( (l1.getX1() == l2.getX1() ) &&
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(l1.getY1() == l2.getY1() ) &&
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(l1.getX2() == l2.getX2() ) &&
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(l1.getY2() == l2.getY2() ) &&
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(l1.getOwner() < l2.getOwner()))
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return true;
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else
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return false;
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}
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friend bool operator == (const BOLine& l1,
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const BOLine& l2) {
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if ( (l1.getX1() == l2.getX1() ) &&
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(l1.getY1() == l2.getY1() ) &&
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(l1.getX2() == l2.getX2() ) &&
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(l1.getY2() == l2.getY2() ) &&
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(l1.getOwner() == l2.getOwner()))
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return true;
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else
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return false;
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}
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private:
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mutable double x1;
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mutable double y1;
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mutable double x2;
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mutable double y2;
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BOOwnerType owner;
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double x1_r;
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double y1_r;
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double x2_r;
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double y2_r;
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};
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/*
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3.1 Class ~CompBOLine~
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for finding and sorting the BOLine by increasing x and y
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*/
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class CompBOLine{
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public:
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bool operator()(const BOLine& l1, const BOLine& l2) const {
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if ( l1.getX1() < l2.getX1() )
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return true;
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else if ( (l1.getX1() == l2.getX1() ) &&
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(l1.getY1() < l2.getY1() ) )
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return true;
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else if ( (l1.getX1() == l2.getX1() ) &&
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(l1.getY1() == l2.getY1() ) &&
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(l1.getX2() < l2.getX2() ) )
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return true;
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else if ( (l1.getX1() == l2.getX1() ) &&
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(l1.getY1() == l2.getY1() ) &&
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(l1.getX2() == l2.getX2() ) &&
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(l1.getY2() < l2.getY2() ) )
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return true;
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else
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return false;
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};
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friend bool operator == (const BOLine l1, const BOLine l2) {
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if ( (l1.getX1() == l2.getX1() ) &&
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(l1.getY1() == l2.getY1() ) &&
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(l1.getX2() == l2.getX2() ) &&
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(l1.getY2() == l2.getY2() ) &&
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(l1.getOwner() == l2.getOwner()))
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return true;
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else
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return false;
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};
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};
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/*
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3.1 Class ~CompBOLineXYOwn~
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for finding and sorting the BOLine by increasing x and y and owner
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*/
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class CompBOLineXYOwn{
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public:
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bool operator()(BOLine l1, BOLine l2) const {
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if ( l1.getX1() < l2.getX1() )
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return true;
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else if ( (l1.getX1() == l2.getX1() ) &&
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(l1.getY1() < l2.getY1() ) )
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return true;
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else if ( (l1.getX1() == l2.getX1() ) &&
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(l1.getY1() == l2.getY1() ) &&
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(l1.getOwner() < l2.getOwner() ) )
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return true;
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else if ( (l1.getX1() == l2.getX1() ) &&
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(l1.getY1() == l2.getY1() ) &&
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(l1.getOwner() == l2.getOwner() ) &&
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(l1.getX2() < l2.getX2() ) )
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return true;
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else if ( (l1.getX1() == l2.getX1() ) &&
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(l1.getY1() == l2.getY1() ) &&
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(l1.getOwner() == l2.getOwner() ) &&
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(l1.getX2() == l2.getX2() ) &&
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(l1.getY2() < l2.getY2() ) )
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return true;
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else
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return false;
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};
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};
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/*
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3 Class ~BOEvent~
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This class is implementing the priority of events used in the
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plane-sweep-algorithm.
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*/
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class BOEvent
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{
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public:
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/*
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3.1 Constructors and Destructors
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*/
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BOEvent(){};
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BOEvent(const double x, const double y,
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const BOPointType pType, const BOOwnerType owner);
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BOEvent(const double x, const double y,
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const BOPointType pType, const BOOwnerType owner,
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const BOLine& line);
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BOEvent(const double x, const double y,
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const BOPointType pType, const BOOwnerType owner,
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const BOLine& line1,const BOLine& line2 );
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~BOEvent(void){};
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/*
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3.2 Functions for reading and setting values
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*/
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void setX( const double x );
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void setY( const double y );
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void setPointType( const BOPointType pointType );
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void setOwner( const BOOwnerType owner );
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void setLine( const BOLine& line );
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void setLine1( const BOLine& line1 );
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void setLine2( const BOLine& line2 );
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double getX( ) const { return x; };
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double getY( ) const { return y; };
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double getOrigX( ) const { return origX; };
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double getOrigY( ) const { return origY; };
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BOLine getLine( ) const { return line; };
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BOLine getLine1( ) const { return line1; };
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BOLine getLine2( ) const { return line2; };
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BOPointType getPointType( )const { return pointType; };
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BOOwnerType getOwner( )const { return owner; };
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void Print(ostream& out) const;
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BOLine& getLineAbove( ){ return lineAbove; };
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BOLine& getLineBelow( ){ return lineBelow; };
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private :
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double x;
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double y;
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double origX;
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double origY;
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BOPointType pointType;
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BOOwnerType owner;
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BOLine line,line1,line2,lineAbove, lineBelow;
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};
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/*
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3.1 Class ~CompBOEventXY~
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for finding and sorting the BOEvents by increasing x and y
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*/
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class CompBOEventXY{
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public:
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bool operator()(const BOEvent& e1, const BOEvent& e2) const {
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if ( e1.getX() < e2.getX() )
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return true;
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else if ( (e1.getX() == e2.getX() ) &&
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(e1.getY() < e2.getY() ) )
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return true;
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else if ( (e1.getX() == e2.getX() ) &&
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(e1.getY() == e2.getY() ) &&
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(e1.getPointType() < e2.getPointType()))
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return true;
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else if ( (e1.getX() == e2.getX() ) &&
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(e1.getY() == e2.getY() ) &&
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(e1.getPointType() == e2.getPointType()) &&
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(e1.getOwner() < e2.getOwner() ) )
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return true;
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else if ( (e1.getX() == e2.getX() ) &&
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(e1.getY() == e2.getY() ) &&
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(e1.getPointType() == e2.getPointType()) &&
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(e1.getOwner() == e2.getOwner() ) ){
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if ( e1.getPointType() == intersect ){
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if ( e1.getLine1() < e2.getLine1() )
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return true;
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if ( ( e1.getLine1() == e2.getLine1()) &&
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( e1.getLine2() < e2.getLine2()))
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return true;
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else return false;
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}
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else if ( e1.getLine() < e2.getLine() )
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return true;
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else
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return false;
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}
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else
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return false;
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};
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friend bool operator == (const BOEvent e1, const BOEvent e2) {
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if ( (e1.getX() == e2.getX() ) &&
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(e1.getY() == e2.getY() ) &&
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(e1.getPointType() == e2.getPointType()) &&
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(e1.getOwner() == e2.getOwner()) ){
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return true;
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}
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else
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return false;
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};
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};
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/*
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3 Class ~HOBatch~
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This class is implementing the batch
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[->]sweep-line for hobby-algorithm.
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*/
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class HOBatch
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{
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public:
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/*
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3.1 Constructors and Destructors
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*/
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HOBatch(){};
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HOBatch(const double x, const double y);
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~HOBatch(void){};
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/*
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3.2 Functions for reading and setting values
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*/
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void setX( const double x );
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void setY( const double y );
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double getX( ) const { return x; };
|
||
|
|
double getY( ) const { return y; };
|
||
|
|
void Print(ostream& out) const {};
|
||
|
|
private :
|
||
|
|
double x;
|
||
|
|
double y;
|
||
|
|
};
|
||
|
|
/*
|
||
|
|
3.1 Class ~CompBatch~
|
||
|
|
|
||
|
|
for sorting the batch by increasing x
|
||
|
|
|
||
|
|
*/
|
||
|
|
|
||
|
|
class CompBatch{
|
||
|
|
public:
|
||
|
|
bool operator()(HOBatch e1, HOBatch e2)const {
|
||
|
|
if ( e1.getX() < e2.getX() )
|
||
|
|
return true;
|
||
|
|
else
|
||
|
|
return false;
|
||
|
|
};
|
||
|
|
};
|
||
|
|
|
||
|
|
|
||
|
|
/*
|
||
|
|
3 Class ~ToleranceSquare~
|
||
|
|
|
||
|
|
implements a "tolerance square" as used in the Snap Rounding algorithm.
|
||
|
|
a tolerance square contains the boundary of a grid corresponding to the scaleFactor
|
||
|
|
|
||
|
|
*/
|
||
|
|
class ToleranceSquare
|
||
|
|
{
|
||
|
|
|
||
|
|
public:
|
||
|
|
/*
|
||
|
|
3.1 Constructors and Destructors
|
||
|
|
|
||
|
|
*/
|
||
|
|
ToleranceSquare(){};
|
||
|
|
ToleranceSquare(const double x11, const double y11,
|
||
|
|
const double x12, const double y12,
|
||
|
|
const double x21, const double y21,
|
||
|
|
const double x22, const double y22,
|
||
|
|
const double snap_x, const double snap_y,
|
||
|
|
const BOEvent& boEv)
|
||
|
|
{
|
||
|
|
setX11( x11 );
|
||
|
|
setY11( y11 );
|
||
|
|
setX12( x12 );
|
||
|
|
setY12( y12 );
|
||
|
|
setX21( x21 );
|
||
|
|
setY21( y21 );
|
||
|
|
setX22( x22 );
|
||
|
|
setY22( y22 );
|
||
|
|
setSnapX( snap_x );
|
||
|
|
setSnapY( snap_y );
|
||
|
|
|
||
|
|
setBOEvent( boEv );
|
||
|
|
};
|
||
|
|
~ToleranceSquare(void){};
|
||
|
|
/*
|
||
|
|
3.1.2 Functions for reading and setting values
|
||
|
|
|
||
|
|
*/
|
||
|
|
void setX11( const double x11 );
|
||
|
|
void setY11( const double y11 );
|
||
|
|
void setX12( const double x12 );
|
||
|
|
void setY12( const double y12 );
|
||
|
|
void setX21( const double x21 );
|
||
|
|
void setY21( const double y21 );
|
||
|
|
void setX22( const double x22 );
|
||
|
|
void setY22( const double y22 );
|
||
|
|
void setSnapX( const double snap_x );
|
||
|
|
void setSnapY( const double snap_y );
|
||
|
|
|
||
|
|
|
||
|
|
void setBOEvent( const BOEvent& boEv );
|
||
|
|
|
||
|
|
double getX11( ) const { return x11; };
|
||
|
|
double getY11( ) const { return y11; };
|
||
|
|
double getX12( ) const { return x12; };
|
||
|
|
double getY12( ) const { return y12; };
|
||
|
|
double getX21( ) const { return x21; };
|
||
|
|
double getY21( ) const { return y21; };
|
||
|
|
double getX22( ) const { return x22; };
|
||
|
|
double getY22( ) const { return y22; };
|
||
|
|
double getSnapX( ) const { return snap_x; };
|
||
|
|
double getSnapY( ) const { return snap_y; };
|
||
|
|
|
||
|
|
const BOEvent& getBOEvent( ){ return boEv; };
|
||
|
|
void Print(ostream& out)const;
|
||
|
|
|
||
|
|
private :
|
||
|
|
double x11;
|
||
|
|
double y11;
|
||
|
|
double x12;
|
||
|
|
double y12;
|
||
|
|
double x21;
|
||
|
|
double y21;
|
||
|
|
double x22;
|
||
|
|
double y22;
|
||
|
|
double snap_x;
|
||
|
|
double snap_y;
|
||
|
|
|
||
|
|
BOEvent boEv;
|
||
|
|
double scale(double value)
|
||
|
|
{
|
||
|
|
return (double) (value * ScaleFactor);
|
||
|
|
};
|
||
|
|
|
||
|
|
};
|
||
|
|
|
||
|
|
/*
|
||
|
|
3.5 Class ~CompToleranceSquareY~
|
||
|
|
|
||
|
|
implements a "tolerance square" as used in the Snap Rounding algorithm.
|
||
|
|
a tolerance square contains the boundary of a grid corresponding to the scaleFactor
|
||
|
|
|
||
|
|
*/
|
||
|
|
class CompToleranceSquareY{
|
||
|
|
public:
|
||
|
|
bool operator()(const ToleranceSquare& t1,
|
||
|
|
const ToleranceSquare& t2)const {
|
||
|
|
if ( t1.getY21() < t2.getY21() )
|
||
|
|
return true;
|
||
|
|
else if ( ( t1.getY21() == t2.getY21() ) &&
|
||
|
|
( t1.getX21() < t2.getX21() ) )
|
||
|
|
return true;
|
||
|
|
else
|
||
|
|
return false;
|
||
|
|
};
|
||
|
|
|
||
|
|
};
|
||
|
|
|
||
|
|
class Point
|
||
|
|
{
|
||
|
|
public:
|
||
|
|
Point(){};
|
||
|
|
Point(const double x, const double y)
|
||
|
|
{
|
||
|
|
setX( x );
|
||
|
|
setY( y );
|
||
|
|
};
|
||
|
|
|
||
|
|
|
||
|
|
~Point(void){};
|
||
|
|
|
||
|
|
void setX( const double x );
|
||
|
|
void setY( const double y );
|
||
|
|
double getX( ) const { return x; };
|
||
|
|
double getY( ) const { return y; };
|
||
|
|
|
||
|
|
private :
|
||
|
|
double x;
|
||
|
|
double y;
|
||
|
|
|
||
|
|
};
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
}
|
||
|
|
; //end of namespaces
|
||
|
|
|
||
|
|
|
||
|
|
#endif // __ROBUSTGEOMETRY_ALGEBRA_H__
|
||
|
|
|