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185
Triangulate/tripoly.cxx
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185
Triangulate/tripoly.cxx
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// tripoly.cxx -- "Triangle" polygon management class
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//
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// Written by Curtis Olson, started March 1999.
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//
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// Copyright (C) 1999 Curtis L. Olson - curt@flightgear.org
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//
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// This program is free software; you can redistribute it and/or
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// modify it under the terms of the GNU General Public License as
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// published by the Free Software Foundation; either version 2 of the
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// License, or (at your option) any later version.
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//
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// This program is distributed in the hope that it will be useful, but
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// WITHOUT ANY WARRANTY; without even the implied warranty of
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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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// General Public License for more details.
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//
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// You should have received a copy of the GNU General Public License
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// along with this program; if not, write to the Free Software
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// Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
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//
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// $Id$
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// (Log is kept at end of this file)
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#include <Include/fg_constants.h>
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#include <Math/point3d.hxx>
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#include "tripoly.hxx"
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// Constructor
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FGTriPoly::FGTriPoly( void ) {
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}
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// Destructor
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FGTriPoly::~FGTriPoly( void ) {
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}
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// Given a line segment specified by two endpoints p1 and p2, return
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// the slope of the line.
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static double slope( const Point3D& p0, const Point3D& p1 ) {
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if ( fabs(p0.x() - p1.x()) > FG_EPSILON ) {
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return (p0.y() - p1.y()) / (p0.x() - p1.x());
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} else {
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return 1.0e+999; // really big number
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}
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}
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// Given a line segment specified by two endpoints p1 and p2, return
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// the y value of a point on the line that intersects with the
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// verticle line through x. Return true if an intersection is found,
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// false otherwise.
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static bool intersects( const Point3D& p0, const Point3D& p1, double x,
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Point3D *result ) {
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// equation of a line through (x0,y0) and (x1,y1):
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//
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// y = y1 + (x - x1) * (y0 - y1) / (x0 - x1)
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double y;
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if ( fabs(p0.x() - p1.x()) > FG_EPSILON ) {
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y = p1.y() + (x - p1.x()) * (p0.y() - p1.y()) / (p0.x() - p1.x());
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} else {
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return false;
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}
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result->setx(x);
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result->sety(y);
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if ( p0.y() <= p1.y() ) {
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if ( (p0.y() <= y) && (y <= p1.y()) ) {
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return true;
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}
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} else {
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if ( (p0.y() >= y) && (y >= p1.y()) ) {
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return true;
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}
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}
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return false;
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}
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// calculate an "arbitrary" point inside this polygon for assigning
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// attribute areas
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void FGTriPoly::calc_point_inside( const FGTriNodes& trinodes ) {
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Point3D tmp, min, ln, p1, p2, p3, m, result;
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// 1. find point, min, with smallest y
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// min.y() starts greater than the biggest possible lat (degrees)
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min.sety( 100.0 );
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// int min_index;
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int min_node_index = 0;
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tripoly_iterator current, last;
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current = poly.begin();
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last = poly.end();
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int counter = 0;
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for ( ; current != last; ++current ) {
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tmp = trinodes.get_node( *current );
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if ( tmp.y() < min.y() ) {
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min = tmp;
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// min_index = *current;
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min_node_index = counter;
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// cout << "min index = " << *current
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// << " value = " << min_y << endl;
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} else {
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// cout << " index = " << *current << endl;
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}
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++counter;
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}
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cout << "min node index = " << min_node_index << endl;
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cout << "min index = " << poly[min_node_index]
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<< " value = " << trinodes.get_node( poly[min_node_index] )
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<< " == " << min << endl;
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// 2. take midpoint, m, of min with neighbor having lowest
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// fabs(slope)
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if ( min_node_index == 0 ) {
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p1 = trinodes.get_node( poly[1] );
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p2 = trinodes.get_node( poly[poly.size() - 1] );
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} else if ( min_node_index == (int)(poly.size()) - 1 ) {
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p1 = trinodes.get_node( poly[0] );
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p2 = trinodes.get_node( poly[poly.size() - 1] );
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} else {
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p1 = trinodes.get_node( poly[min_node_index - 1] );
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p2 = trinodes.get_node( poly[min_node_index + 1] );
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}
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double s1 = fabs( slope(min, p1) );
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double s2 = fabs( slope(min, p2) );
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if ( s1 < s2 ) {
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ln = p1;
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} else {
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ln = p2;
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}
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m.setx( (min.x() + ln.x()) / 2.0 );
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m.sety( (min.y() + ln.y()) / 2.0 );
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cout << "low mid point = " << m << endl;
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// 3. intersect vertical line through m and all other segments.
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// save point, p3, with smallest y > m.y
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p3.sety(100);
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for ( int i = 0; i < (int)(poly.size()) - 1; ++i ) {
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p1 = trinodes.get_node( poly[i] );
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p2 = trinodes.get_node( poly[i+1] );
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if ( intersects(p1, p2, m.x(), &result) ) {
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// cout << "intersection = " << result << endl;
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if ( ( result.y() < p3.y() ) &&
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( fabs(result.y() - m.y()) > FG_EPSILON ) ) {
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p3 = result;
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}
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}
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}
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p1 = trinodes.get_node( poly[0] );
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p2 = trinodes.get_node( poly[poly.size() - 1] );
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if ( intersects(p1, p2, m.x(), &result) ) {
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// cout << "intersection = " << result << endl;
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if ( ( result.y() < p3.y() ) &&
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( fabs(result.y() - m.y()) > FG_EPSILON ) ) {
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p3 = result;
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}
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}
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cout << "low intersection of other segment = " << p3 << endl;
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// 4. take midpoint of p2 && m as an arbitrary point inside polygon
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inside.setx( (m.x() + p3.x()) / 2.0 );
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inside.sety( (m.y() + p3.y()) / 2.0 );
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cout << "inside point = " << inside << endl;
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}
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// $Log$
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// Revision 1.1 1999/03/20 13:21:36 curt
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// Initial revision.
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//
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79
Triangulate/tripoly.hxx
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79
Triangulate/tripoly.hxx
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// tripoly.hxx -- "Triangle" polygon management class
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//
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// Written by Curtis Olson, started March 1999.
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//
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// Copyright (C) 1999 Curtis L. Olson - curt@flightgear.org
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//
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// This program is free software; you can redistribute it and/or
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// modify it under the terms of the GNU General Public License as
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// published by the Free Software Foundation; either version 2 of the
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// License, or (at your option) any later version.
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//
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// This program is distributed in the hope that it will be useful, but
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// WITHOUT ANY WARRANTY; without even the implied warranty of
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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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// General Public License for more details.
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//
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// You should have received a copy of the GNU General Public License
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// along with this program; if not, write to the Free Software
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// Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
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//
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// $Id$
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// (Log is kept at end of this file)
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#ifndef _TRIPOLY_HXX
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#define _TRIPOLY_HXX
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#ifndef __cplusplus
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# error This library requires C++
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#endif
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#include <Include/compiler.h>
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#include <vector>
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#include "trinodes.hxx"
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FG_USING_STD(vector);
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typedef vector < int > tripoly;
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typedef tripoly::iterator tripoly_iterator;
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typedef tripoly::const_iterator const_tripoly_iterator;
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class FGTriPoly {
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private:
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tripoly poly;
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Point3D inside;
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public:
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// Constructor and destructor
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FGTriPoly( void );
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~FGTriPoly( void );
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// Add the specified node (index) to the polygon
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inline void add_node( int index ) { poly.push_back( index ); }
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// return size
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inline int size() const { return poly.size(); }
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// calculate an "arbitrary" point inside this polygon for
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// assigning attribute areas
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void calc_point_inside( const FGTriNodes& trinodes );
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};
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#endif // _TRIPOLY_HXX
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// $Log$
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// Revision 1.1 1999/03/20 13:21:36 curt
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// Initial revision.
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//
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31
Triangulate/trisegs.cxx
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31
Triangulate/trisegs.cxx
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// trisegs.cxx -- "Triangle" segment management class
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//
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// Written by Curtis Olson, started March 1999.
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//
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// Copyright (C) 1999 Curtis L. Olson - curt@flightgear.org
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//
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// This program is free software; you can redistribute it and/or
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// modify it under the terms of the GNU General Public License as
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// published by the Free Software Foundation; either version 2 of the
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// License, or (at your option) any later version.
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//
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// This program is distributed in the hope that it will be useful, but
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// WITHOUT ANY WARRANTY; without even the implied warranty of
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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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// General Public License for more details.
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//
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// You should have received a copy of the GNU General Public License
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// along with this program; if not, write to the Free Software
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// Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
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//
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// $Id$
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// (Log is kept at end of this file)
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#include "trisegs.hxx"
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// $Log$
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// Revision 1.1 1999/03/20 13:21:36 curt
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// Initial revision.
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//
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83
Triangulate/trisegs.hxx
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83
Triangulate/trisegs.hxx
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// trisegs.hxx -- "Triangle" segment management class
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//
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// Written by Curtis Olson, started March 1999.
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//
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// Copyright (C) 1999 Curtis L. Olson - curt@flightgear.org
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//
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// This program is free software; you can redistribute it and/or
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// modify it under the terms of the GNU General Public License as
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// published by the Free Software Foundation; either version 2 of the
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// License, or (at your option) any later version.
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//
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// This program is distributed in the hope that it will be useful, but
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// WITHOUT ANY WARRANTY; without even the implied warranty of
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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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// General Public License for more details.
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//
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// You should have received a copy of the GNU General Public License
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// along with this program; if not, write to the Free Software
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// Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
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//
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// $Id$
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// (Log is kept at end of this file)
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#ifndef _TRISEGS_HXX
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#define _TRISEGS_HXX
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#ifndef __cplusplus
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# error This library requires C++
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#endif
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#include <Include/compiler.h>
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#include <vector>
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FG_USING_STD(vector);
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// a segment is two integer pointers into the node list
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class FGTriSeg {
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public:
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int n1, n2;
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};
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typedef vector < FGTriSeg > triseg_list;
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typedef triseg_list::iterator triseg_list_iterator;
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typedef triseg_list::const_iterator const_triseg_list_iterator;
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class FGTriSegments {
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private:
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triseg_list seg_list;
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public:
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// Constructor and destructor
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FGTriSegments( void );
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~FGTriSegments( void );
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// Add a point to the point list if it doesn't already exist.
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// Returns the index (starting at zero) of the point in the list.
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int unique_add( const FGTriSeg& s );
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// return the master node list
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inline triseg_list get_seg_list() const { return seg_list; }
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// return the ith segment
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inline FGTriSeg get_seg( int i ) const { return seg_list[i]; }
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};
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#endif // _TRISEGS_HXX
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// $Log$
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// Revision 1.1 1999/03/20 13:21:36 curt
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// Initial revision.
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//
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