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848 lines
20 KiB
C++
848 lines
20 KiB
C++
/*
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** License Applicability. Except to the extent portions of this file are
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** made subject to an alternative license as permitted in the SGI Free
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** Software License B, Version 1.1 (the "License"), the contents of this
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** file are subject only to the provisions of the License. You may not use
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** this file except in compliance with the License. You may obtain a copy
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** of the License at Silicon Graphics, Inc., attn: Legal Services, 1600
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** Amphitheatre Parkway, Mountain View, CA 94043-1351, or at:
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**
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** http://oss.sgi.com/projects/FreeB
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**
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** Note that, as provided in the License, the Software is distributed on an
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** "AS IS" basis, with ALL EXPRESS AND IMPLIED WARRANTIES AND CONDITIONS
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** DISCLAIMED, INCLUDING, WITHOUT LIMITATION, ANY IMPLIED WARRANTIES AND
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** CONDITIONS OF MERCHANTABILITY, SATISFACTORY QUALITY, FITNESS FOR A
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** PARTICULAR PURPOSE, AND NON-INFRINGEMENT.
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**
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** Original Code. The Original Code is: OpenGL Sample Implementation,
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** Version 1.2.1, released January 26, 2000, developed by Silicon Graphics,
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** Inc. The Original Code is Copyright (c) 1991-2000 Silicon Graphics, Inc.
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** Copyright in any portions created by third parties is as indicated
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** elsewhere herein. All Rights Reserved.
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**
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** Additional Notice Provisions: The application programming interfaces
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** established by SGI in conjunction with the Original Code are The
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** OpenGL(R) Graphics System: A Specification (Version 1.2.1), released
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** April 1, 1999; The OpenGL(R) Graphics System Utility Library (Version
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** 1.3), released November 4, 1998; and OpenGL(R) Graphics with the X
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** Window System(R) (Version 1.3), released October 19, 1998. This software
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** was created using the OpenGL(R) version 1.2.1 Sample Implementation
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** published by SGI, but has not been independently verified as being
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** compliant with the OpenGL(R) version 1.2.1 Specification.
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**
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*/
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/*
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*/
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#include <stdlib.h>
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#include <stdio.h>
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#include <math.h>
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#include "glimports.h"
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#include "zlassert.h"
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#include "quicksort.h"
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#include "directedLine.h"
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#include "polyDBG.h"
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#ifdef __WATCOMC__
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#pragma warning 726 10
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#endif
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//we must return the newLine
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directedLine* directedLine::deleteChain(directedLine* begin, directedLine* end)
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{
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if(begin->head()[0] == end->tail()[0] &&
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begin->head()[1] == end->tail()[1]
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)
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{
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directedLine *ret = begin->prev;
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begin->prev->next = end->next;
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end->next->prev = begin->prev;
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delete begin->sline;
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delete end->sline;
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delete begin;
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delete end;
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return ret;
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}
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directedLine* newLine;
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sampledLine* sline = new sampledLine(begin->head(), end->tail());
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newLine = new directedLine(INCREASING, sline);
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directedLine *p = begin->prev;
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directedLine *n = end->next;
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p->next = newLine;
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n->prev = newLine;
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newLine->prev = p;
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newLine->next = n;
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delete begin->sline;
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delete end->sline;
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delete begin;
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delete end;
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return newLine;
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}
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void directedLine::deleteSingleLine(directedLine* dline)
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{
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//make sure that dline->prev->tail is the same as
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//dline->next->head. This is for numerical erros.
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//for example, if we delete a line which is almost degeneate
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//within (epsilon), then we want to make that the polygon after deletion
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//is still a valid polygon
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dline->next->head()[0] = dline->prev->tail()[0];
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dline->next->head()[1] = dline->prev->tail()[1];
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dline->prev->next = dline->next;
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dline->next->prev = dline->prev;
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delete dline;
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}
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static Int myequal(Real a[2], Real b[2])
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{
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/*
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if(a[0]==b[0] && a[1] == b[1])
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return 1;
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else
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return 0;
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*/
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if(fabs(a[0]-b[0]) < 0.00001 &&
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fabs(a[1]-b[1]) < 0.00001)
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return 1;
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else
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return 0;
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}
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directedLine* directedLine::deleteDegenerateLines()
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{
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//if there is only one edge or two edges, don't do anything
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if(this->next == this)
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return this;
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if(this->next == this->prev)
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return this;
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//find a nondegenerate line
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directedLine* temp;
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directedLine* first = NULL;
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if(! myequal(head(), tail()))
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/*
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if(head()[0] != tail()[0] ||
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head()[1] != tail()[1])
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*/
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first = this;
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else
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{
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for(temp = this->next; temp != this; temp = temp->next)
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{
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/*
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if(temp->head()[0] != temp->tail()[0] ||
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temp->head()[1] != temp->tail()[1])
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*/
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if(! myequal(temp->head(), temp->tail()))
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{
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first = temp;
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break;
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}
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}
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}
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//if there are no non-degenerate lines, then we simply return NULL.
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if(first == NULL)
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{
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deleteSinglePolygonWithSline();
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return NULL;
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}
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directedLine* tempNext = NULL;
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for(temp =first->next; temp != first; temp = tempNext)
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{
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tempNext = temp->getNext();
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/*
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if(temp->head()[0] == temp->tail()[0] &&
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temp->head()[1] == temp->tail()[1])
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*/
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if(myequal(temp->head(), temp->tail()))
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deleteSingleLine(temp);
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}
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return first;
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}
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directedLine* directedLine::deleteDegenerateLinesAllPolygons()
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{
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directedLine* temp;
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directedLine *tempNext = NULL;
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directedLine* ret= NULL;
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directedLine* retEnd = NULL;
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for(temp=this; temp != NULL; temp = tempNext)
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{
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tempNext = temp->nextPolygon;
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temp->nextPolygon = NULL;
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if(ret == NULL)
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{
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ret = retEnd = temp->deleteDegenerateLines();
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}
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else
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{
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directedLine *newPolygon = temp->deleteDegenerateLines();
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if(newPolygon != NULL)
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{
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retEnd->nextPolygon = temp->deleteDegenerateLines();
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retEnd = retEnd->nextPolygon;
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}
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}
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}
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return ret;
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}
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directedLine* directedLine::cutIntersectionAllPoly(int &cutOccur)
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{
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directedLine* temp;
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directedLine *tempNext = NULL;
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directedLine* ret= NULL;
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directedLine* retEnd = NULL;
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cutOccur = 0;
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for(temp=this; temp != NULL; temp = tempNext)
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{
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int eachCutOccur=0;
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tempNext = temp->nextPolygon;
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temp->nextPolygon = NULL;
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if(ret == NULL)
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{
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ret = retEnd = DBG_cutIntersectionPoly(temp, eachCutOccur);
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if(eachCutOccur)
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cutOccur = 1;
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}
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else
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{
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retEnd->nextPolygon = DBG_cutIntersectionPoly(temp, eachCutOccur);
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retEnd = retEnd->nextPolygon;
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if(eachCutOccur)
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cutOccur = 1;
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}
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}
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return ret;
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}
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void directedLine::deleteSinglePolygonWithSline()
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{
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directedLine *temp, *tempNext;
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prev->next = NULL;
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for(temp=this; temp != NULL; temp = tempNext)
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{
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tempNext = temp->next;
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delete temp->sline;
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delete temp;
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}
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}
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void directedLine::deletePolygonListWithSline()
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{
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directedLine *temp, *tempNext;
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for(temp=this; temp != NULL; temp=tempNext)
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{
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tempNext = temp->nextPolygon;
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temp->deleteSinglePolygonWithSline();
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}
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}
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void directedLine::deleteSinglePolygon()
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{
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directedLine *temp, *tempNext;
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prev->next = NULL;
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for(temp=this; temp != NULL; temp = tempNext)
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{
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tempNext = temp->next;
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delete temp;
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}
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}
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void directedLine::deletePolygonList()
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{
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directedLine *temp, *tempNext;
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for(temp=this; temp != NULL; temp=tempNext)
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{
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tempNext = temp->nextPolygon;
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temp->deleteSinglePolygon();
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}
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}
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/*a loop by itself*/
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directedLine::directedLine(short dir, sampledLine* sl)
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{
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direction = dir;
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sline = sl;
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next = this;
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prev = this;
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nextPolygon = NULL;
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// prevPolygon = NULL;
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rootBit = 0;/*important to initilzae to 0 meaning not root yet*/
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rootLink = NULL;
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}
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void directedLine::init(short dir, sampledLine* sl)
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{
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direction = dir;
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sline = sl;
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}
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directedLine::directedLine()
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{
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next = this;
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prev = this;
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nextPolygon = NULL;
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rootBit = 0;/*important to initilzae to 0 meaning not root yet*/
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rootLink = NULL;
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}
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directedLine::~directedLine()
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{
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}
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Real* directedLine::head()
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{
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return (direction==INCREASING)? (sline->get_points())[0] : (sline->get_points())[sline->get_npoints()-1];
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}
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/*inline*/ Real* directedLine::getVertex(Int i)
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{
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return (direction==INCREASING)? (sline->get_points())[i] : (sline->get_points())[sline->get_npoints() - 1 -i];
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}
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Real* directedLine::tail()
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{
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return (direction==DECREASING)? (sline->get_points())[0] : (sline->get_points())[sline->get_npoints()-1];
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}
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/*insert a new line between prev and this*/
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void directedLine::insert(directedLine* nl)
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{
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nl->next = this;
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nl->prev = prev;
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prev->next = nl;
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prev = nl;
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nl->rootLink = this; /*assuming that 'this' is the root!!!*/
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}
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Int directedLine::numEdges()
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{
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Int ret=0;
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directedLine* temp;
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if(next == this) return 1;
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ret = 1;
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for(temp = next; temp != this; temp = temp->next)
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ret++;
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return ret;
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}
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Int directedLine::numEdgesAllPolygons()
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{
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Int ret=0;
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directedLine* temp;
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for(temp=this; temp!= NULL; temp=temp->nextPolygon)
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{
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ret += temp->numEdges();
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}
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return ret;
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}
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/*return 1 if the double linked list forms a polygon.
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*/
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short directedLine::isPolygon()
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{
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directedLine* temp;
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/*a polygon contains at least 3 edges*/
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if(numEdges() <=2) return 0;
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/*check this edge*/
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if(! isConnected()) return 0;
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/*check all other edges*/
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for(temp=next; temp != this; temp = temp->next){
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if(!isConnected()) return 0;
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}
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return 1;
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}
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/*check if the head of this edge is connected to
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*the tail of the prev
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*/
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short directedLine::isConnected()
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{
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if( (head()[0] == prev->tail()[0]) && (head()[1] == prev->tail()[1]))
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return 1;
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else
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return 0;
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}
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Int compV2InY(Real A[2], Real B[2])
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{
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if(A[1] < B[1]) return -1;
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if(A[1] == B[1] && A[0] < B[0]) return -1;
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if(A[1] == B[1] && A[0] == B[0]) return 0;
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return 1;
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}
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Int compV2InX(Real A[2], Real B[2])
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{
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if(A[0] < B[0]) return -1;
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if(A[0] == B[0] && A[1] < B[1]) return -1;
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if(A[0] == B[0] && A[1] == B[1]) return 0;
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return 1;
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}
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/*compare two vertices NOT lines!
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*A vertex is the head of a directed line.
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*(x_1, y_1) <= (x_2, y_2) if
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*either y_1 < y_2
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*or y_1 == y_2 && x_1 < x_2.
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*return -1 if this->head() <= nl->head(),
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*return 1 otherwise
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*/
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Int directedLine::compInY(directedLine* nl)
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{
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if(head()[1] < nl->head()[1]) return -1;
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if(head()[1] == nl->head()[1] && head()[0] < nl->head()[0]) return -1;
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return 1;
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}
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/*compare two vertices NOT lines!
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*A vertex is the head of a directed line.
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*(x_1, y_1) <= (x_2, y_2) if
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*either x_1 < x_2
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*or x_1 == x_2 && y_1 < y_2.
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*return -1 if this->head() <= nl->head(),
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*return 1 otherwise
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*/
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Int directedLine::compInX(directedLine* nl)
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{
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if(head()[0] < nl->head()[0]) return -1;
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if(head()[0] == nl->head()[0] && head()[1] < nl->head()[1]) return -1;
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return 1;
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}
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/*used by sort precedures
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*/
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static Int compInY2(directedLine* v1, directedLine* v2)
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{
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return v1->compInY(v2);
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}
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#ifdef NOT_USED
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static Int compInX(directedLine* v1, directedLine* v2)
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{
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return v1->compInX(v2);
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}
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#endif
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/*sort all the vertices NOT the lines!
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*a vertex is the head of a directed line
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*/
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directedLine** directedLine::sortAllPolygons()
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{
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Int total_num_edges = 0;
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directedLine** array = toArrayAllPolygons(total_num_edges);
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quicksort( (void**)array, 0, total_num_edges-1, (Int (*)(void *, void *)) compInY2);
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return array;
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}
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void directedLine::printSingle()
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{
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if(direction == INCREASING)
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printf("direction is INCREASING\n");
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else
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printf("direction is DECREASING\n");
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printf("head=%f,%f)\n", head()[0], head()[1]);
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sline->print();
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}
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/*print one polygon*/
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void directedLine::printList()
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{
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directedLine* temp;
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printSingle();
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for(temp = next; temp!=this; temp=temp->next)
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temp->printSingle();
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}
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/*print all the polygons*/
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void directedLine::printAllPolygons()
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{
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directedLine *temp;
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for(temp = this; temp!=NULL; temp = temp->nextPolygon)
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{
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printf("polygon:\n");
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temp->printList();
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}
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}
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/*insert this polygon into the head of the old polygon List*/
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directedLine* directedLine::insertPolygon(directedLine* oldList)
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{
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/*this polygon is a root*/
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setRootBit();
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if(oldList == NULL) return this;
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nextPolygon = oldList;
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/* oldList->prevPolygon = this;*/
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return this;
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}
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/*cutoff means delete. but we don't deallocate any space,
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*so we use cutoff instead of delete
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*/
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directedLine* directedLine::cutoffPolygon(directedLine *p)
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{
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directedLine* temp;
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directedLine* prev_polygon = NULL;
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if(p == NULL) return this;
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for(temp=this; temp != p; temp = temp->nextPolygon)
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{
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if(temp == NULL)
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{
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fprintf(stderr, "in cutoffPolygon, not found\n");
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exit(1);
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}
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prev_polygon = temp;
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}
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/* prev_polygon = p->prevPolygon;*/
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p->resetRootBit();
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if(prev_polygon == NULL) /*this is the one to cutoff*/
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return nextPolygon;
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else {
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prev_polygon->nextPolygon = p->nextPolygon;
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return this;
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}
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}
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Int directedLine::numPolygons()
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|
{
|
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if(nextPolygon == NULL) return 1;
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else return 1+nextPolygon->numPolygons();
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|
}
|
|
|
|
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/*let array[index ...] denote
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*all the edges in this polygon
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*return the next available index of array.
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|
*/
|
|
Int directedLine::toArraySinglePolygon(directedLine** array, Int index)
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|
{
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directedLine *temp;
|
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array[index++] = this;
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for(temp = next; temp != this; temp = temp->next)
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|
{
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array[index++] = temp;
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}
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|
return index;
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}
|
|
|
|
/*the space is allocated. The caller is responsible for
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|
*deallocate the space.
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|
*total_num_edges is set to be the total number of edges of all polygons
|
|
*/
|
|
directedLine** directedLine::toArrayAllPolygons(Int& total_num_edges)
|
|
{
|
|
total_num_edges=numEdgesAllPolygons();
|
|
directedLine** ret = (directedLine**) malloc(sizeof(directedLine*) * total_num_edges);
|
|
assert(ret);
|
|
|
|
directedLine *temp;
|
|
Int index = 0;
|
|
for(temp=this; temp != NULL; temp=temp->nextPolygon) {
|
|
index = temp->toArraySinglePolygon(ret, index);
|
|
}
|
|
return ret;
|
|
}
|
|
|
|
/*assume the polygon is a simple polygon, return
|
|
*the area enclosed by it.
|
|
*if thee order is counterclock wise, the area is positive.
|
|
*/
|
|
Real directedLine::polyArea()
|
|
{
|
|
directedLine* temp;
|
|
Real ret=0.0;
|
|
Real x1,y1,x2,y2;
|
|
x1 = this->head()[0];
|
|
y1 = this->head()[1];
|
|
x2 = this->next->head()[0];
|
|
y2 = this->next->head()[1];
|
|
ret = -(x2*y1-x1*y2);
|
|
for(temp=this->next; temp!=this; temp = temp->next)
|
|
{
|
|
x1 = temp->head()[0];
|
|
y1 = temp->head()[1];
|
|
x2 = temp->next->head()[0];
|
|
y2 = temp->next->head()[1];
|
|
ret += -( x2*y1-x1*y2);
|
|
}
|
|
return Real(0.5)*ret;
|
|
}
|
|
|
|
/*******************split or combine polygons begin********************/
|
|
/*conect a diagonal of a single simple polygon or two simple polygons.
|
|
*If the two vertices v1 (head) and v2 (head) are in the same simple polygon,
|
|
*then we actually split the simple polygon into two polygons.
|
|
*If instead two vertices velong to two difference polygons,
|
|
*then we combine the two polygons into one polygon.
|
|
*It is upto the caller to decide whether this is a split or a
|
|
*combination.
|
|
*
|
|
*Case Split:
|
|
*split a single simple polygon into two simple polygons by
|
|
*connecting a diagonal (two vertices).
|
|
*v1, v2: the two vertices are the head() of the two directedLines.
|
|
* this routine generates one new sampledLine which is returned in
|
|
*generatedLine,
|
|
*and it generates two directedLines returned in ret_p1 and ret_p2.
|
|
*ret_p1 and ret_p2 are used as the entry to the two new polygons.
|
|
*Notice the caller should not deallocate the space of v2 and v2 after
|
|
*calling this function, since all of the edges are connected to
|
|
*ret_p1 or ret_p2.
|
|
*
|
|
*combine:
|
|
*combine two simpolygons into one by connecting one diagonal.
|
|
*the returned polygon is returned in ret_p1.
|
|
*/
|
|
/*ARGSUSED*/
|
|
void directedLine::connectDiagonal(directedLine* v1, directedLine* v2,
|
|
directedLine** ret_p1,
|
|
directedLine** ret_p2,
|
|
sampledLine** generatedLine,
|
|
directedLine* polygonList )
|
|
{
|
|
sampledLine *nsline = new sampledLine(2);
|
|
|
|
|
|
|
|
nsline->setPoint(0, v1->head());
|
|
nsline->setPoint(1, v2->head());
|
|
|
|
|
|
|
|
/*the increasing line is from v1 head to v2 head*/
|
|
directedLine* newLineInc = new directedLine(INCREASING, nsline);
|
|
|
|
|
|
|
|
directedLine* newLineDec = new directedLine(DECREASING, nsline);
|
|
|
|
|
|
directedLine* v1Prev = v1->prev;
|
|
directedLine* v2Prev = v2->prev;
|
|
|
|
v1 ->prev = newLineDec;
|
|
v2Prev ->next = newLineDec;
|
|
newLineDec->next = v1;
|
|
newLineDec->prev = v2Prev;
|
|
|
|
v2 ->prev = newLineInc;
|
|
v1Prev ->next = newLineInc;
|
|
newLineInc->next = v2;
|
|
newLineInc->prev = v1Prev;
|
|
|
|
*ret_p1 = newLineDec;
|
|
*ret_p2 = newLineInc;
|
|
*generatedLine = nsline;
|
|
}
|
|
|
|
//see the function connectDiangle
|
|
/*ARGSUSED*/
|
|
void directedLine::connectDiagonal_2slines(directedLine* v1, directedLine* v2,
|
|
directedLine** ret_p1,
|
|
directedLine** ret_p2,
|
|
directedLine* polygonList )
|
|
{
|
|
sampledLine *nsline = new sampledLine(2);
|
|
sampledLine *nsline2 = new sampledLine(2);
|
|
|
|
nsline->setPoint(0, v1->head());
|
|
nsline->setPoint(1, v2->head());
|
|
nsline2->setPoint(0, v1->head());
|
|
nsline2->setPoint(1, v2->head());
|
|
|
|
/*the increasing line is from v1 head to v2 head*/
|
|
directedLine* newLineInc = new directedLine(INCREASING, nsline);
|
|
|
|
directedLine* newLineDec = new directedLine(DECREASING, nsline2);
|
|
|
|
directedLine* v1Prev = v1->prev;
|
|
directedLine* v2Prev = v2->prev;
|
|
|
|
v1 ->prev = newLineDec;
|
|
v2Prev ->next = newLineDec;
|
|
newLineDec->next = v1;
|
|
newLineDec->prev = v2Prev;
|
|
|
|
v2 ->prev = newLineInc;
|
|
v1Prev ->next = newLineInc;
|
|
newLineInc->next = v2;
|
|
newLineInc->prev = v1Prev;
|
|
|
|
*ret_p1 = newLineDec;
|
|
*ret_p2 = newLineInc;
|
|
|
|
}
|
|
|
|
Int directedLine::samePolygon(directedLine* v1, directedLine* v2)
|
|
{
|
|
if(v1 == v2) return 1;
|
|
directedLine *temp;
|
|
for(temp = v1->next; temp != v1; temp = temp->next)
|
|
{
|
|
if(temp == v2) return 1;
|
|
}
|
|
return 0;
|
|
}
|
|
|
|
directedLine* directedLine::findRoot()
|
|
{
|
|
if(rootBit) return this;
|
|
directedLine* temp;
|
|
for(temp = next; temp != this; temp = temp->next)
|
|
if(temp -> rootBit ) return temp;
|
|
return NULL; /*should not happen*/
|
|
}
|
|
|
|
directedLine* directedLine::rootLinkFindRoot()
|
|
{
|
|
directedLine* tempRoot;
|
|
directedLine* tempLink;
|
|
tempRoot = this;
|
|
tempLink = rootLink;
|
|
while(tempLink != NULL){
|
|
tempRoot = tempLink;
|
|
tempLink = tempRoot->rootLink;
|
|
}
|
|
return tempRoot;
|
|
}
|
|
|
|
/*******************split or combine polygons end********************/
|
|
|
|
/*****************IO stuff begin*******************/
|
|
|
|
/*format:
|
|
*#polygons
|
|
* #vertices
|
|
* vertices
|
|
* #vertices
|
|
* vertices
|
|
*...
|
|
*/
|
|
void directedLine::writeAllPolygons(char* filename)
|
|
{
|
|
FILE* fp = fopen(filename, "w");
|
|
assert(fp);
|
|
Int nPolygons = numPolygons();
|
|
directedLine *root;
|
|
fprintf(fp, "%i\n", nPolygons);
|
|
for(root = this; root != NULL; root = root->nextPolygon)
|
|
{
|
|
directedLine *temp;
|
|
Int npoints=0;
|
|
npoints = root->get_npoints()-1;
|
|
for(temp = root->next; temp != root; temp=temp->next)
|
|
npoints += temp->get_npoints()-1;
|
|
fprintf(fp, "%i\n", npoints/*root->numEdges()*/);
|
|
|
|
|
|
for(Int i=0; i<root->get_npoints()-1; i++){
|
|
fprintf(fp, "%f ", root->getVertex(i)[0]);
|
|
fprintf(fp, "%f ", root->getVertex(i)[1]);
|
|
}
|
|
|
|
for(temp=root->next; temp != root; temp = temp->next)
|
|
{
|
|
for(Int i=0; i<temp->get_npoints()-1; i++){
|
|
|
|
fprintf(fp, "%f ", temp->getVertex(i)[0]);
|
|
fprintf(fp, "%f ", temp->getVertex(i)[1]);
|
|
}
|
|
fprintf(fp,"\n");
|
|
}
|
|
fprintf(fp, "\n");
|
|
}
|
|
fclose(fp);
|
|
}
|
|
|
|
directedLine* readAllPolygons(char* filename)
|
|
{
|
|
Int i,j;
|
|
FILE* fp = fopen(filename, "r");
|
|
assert(fp);
|
|
Int nPolygons;
|
|
fscanf(fp, "%i", &nPolygons);
|
|
directedLine *ret = NULL;
|
|
|
|
for(i=0; i<nPolygons; i++)
|
|
{
|
|
Int nEdges;
|
|
fscanf(fp, "%i", &nEdges);
|
|
Real vert[2][2];
|
|
Real VV[2][2];
|
|
/*the first two vertices*/
|
|
fscanf(fp, "%f", &(vert[0][0]));
|
|
fscanf(fp, "%f", &(vert[0][1]));
|
|
fscanf(fp, "%f", &(vert[1][0]));
|
|
fscanf(fp, "%f", &(vert[1][1]));
|
|
VV[1][0] = vert[0][0];
|
|
VV[1][1] = vert[0][1];
|
|
sampledLine *sLine = new sampledLine(2, vert);
|
|
directedLine *thisPoly = new directedLine(INCREASING, sLine);
|
|
thisPoly->rootLinkSet(NULL);
|
|
|
|
directedLine *dLine;
|
|
for(j=2; j<nEdges; j++)
|
|
{
|
|
vert[0][0]=vert[1][0];
|
|
vert[0][1]=vert[1][1];
|
|
fscanf(fp, "%f", &(vert[1][0]));
|
|
fscanf(fp, "%f", &(vert[1][1]));
|
|
sLine = new sampledLine(2,vert);
|
|
dLine = new directedLine(INCREASING, sLine);
|
|
dLine->rootLinkSet(thisPoly);
|
|
thisPoly->insert(dLine);
|
|
}
|
|
|
|
VV[0][0]=vert[1][0];
|
|
VV[0][1]=vert[1][1];
|
|
sLine = new sampledLine(2,VV);
|
|
dLine = new directedLine(INCREASING, sLine);
|
|
dLine->rootLinkSet(thisPoly);
|
|
thisPoly->insert(dLine);
|
|
|
|
ret = thisPoly->insertPolygon(ret);
|
|
}
|
|
fclose(fp);
|
|
return ret;
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|