📄 arc.cc
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/*** License Applicability. Except to the extent portions of this file are** made subject to an alternative license as permitted in the SGI Free** Software License B, Version 1.1 (the "License"), the contents of this** file are subject only to the provisions of the License. You may not use** this file except in compliance with the License. You may obtain a copy** of the License at Silicon Graphics, Inc., attn: Legal Services, 1600** Amphitheatre Parkway, Mountain View, CA 94043-1351, or at:**** http://oss.sgi.com/projects/FreeB**** Note that, as provided in the License, the Software is distributed on an** "AS IS" basis, with ALL EXPRESS AND IMPLIED WARRANTIES AND CONDITIONS** DISCLAIMED, INCLUDING, WITHOUT LIMITATION, ANY IMPLIED WARRANTIES AND** CONDITIONS OF MERCHANTABILITY, SATISFACTORY QUALITY, FITNESS FOR A** PARTICULAR PURPOSE, AND NON-INFRINGEMENT.**** Original Code. The Original Code is: OpenGL Sample Implementation,** Version 1.2.1, released January 26, 2000, developed by Silicon Graphics,** Inc. The Original Code is Copyright (c) 1991-2000 Silicon Graphics, Inc.** Copyright in any portions created by third parties is as indicated** elsewhere herein. All Rights Reserved.**** Additional Notice Provisions: The application programming interfaces** established by SGI in conjunction with the Original Code are The** OpenGL(R) Graphics System: A Specification (Version 1.2.1), released** April 1, 1999; The OpenGL(R) Graphics System Utility Library (Version** 1.3), released November 4, 1998; and OpenGL(R) Graphics with the X** Window System(R) (Version 1.3), released October 19, 1998. This software** was created using the OpenGL(R) version 1.2.1 Sample Implementation** published by SGI, but has not been independently verified as being** compliant with the OpenGL(R) version 1.2.1 Specification.*//* * arc.c++ * */#include <stdio.h>#include "glimports.h"#include "mystdio.h"#include "myassert.h"#include "arc.h"#include "bin.h"#include "bezierarc.h"#include "pwlarc.h"#include "simplemath.h"/* local preprocessor definitions */#define ZERO 0.00001/*0.000001*/const int Arc::bezier_tag = (1<<13);const int Arc::arc_tag = (1<<3);const int Arc::tail_tag = (1<<6);/*-------------------------------------------------------------------------- * makeSide - attach a pwl arc to an arc and mark it as a border arc *-------------------------------------------------------------------------- */voidArc::makeSide( PwlArc *pwl, arc_side side ){ assert( pwl != 0); assert( pwlArc == 0 ); assert( pwl->npts > 0 ); assert( pwl->pts != 0); pwlArc = pwl; clearbezier(); setside( side );}/*-------------------------------------------------------------------------- * numpts - count number of points on arc loop *-------------------------------------------------------------------------- */intArc::numpts( void ){ Arc_ptr jarc = this; int npts = 0; do { npts += jarc->pwlArc->npts; jarc = jarc->next; } while( jarc != this ); return npts;}/*-------------------------------------------------------------------------- * markverts - mark each point with id of arc *-------------------------------------------------------------------------- */voidArc::markverts( void ){ Arc_ptr jarc = this; do { TrimVertex *p = jarc->pwlArc->pts; for( int i=0; i<jarc->pwlArc->npts; i++ ) p[i].nuid = jarc->nuid; jarc = jarc->next; } while( jarc != this );}/*-------------------------------------------------------------------------- * getextrema - find axis extrema on arc loop *-------------------------------------------------------------------------- */voidArc::getextrema( Arc_ptr extrema[4] ){ REAL leftpt, botpt, rightpt, toppt; extrema[0] = extrema[1] = extrema[2] = extrema[3] = this; leftpt = rightpt = this->tail()[0]; botpt = toppt = this->tail()[1]; for( Arc_ptr jarc = this->next; jarc != this; jarc = jarc->next ) { if ( jarc->tail()[0] < leftpt || (jarc->tail()[0] <= leftpt && jarc->rhead()[0]<=leftpt)) { leftpt = jarc->pwlArc->pts->param[0]; extrema[1] = jarc; } if ( jarc->tail()[0] > rightpt || (jarc->tail()[0] >= rightpt && jarc->rhead()[0] >= rightpt)) { rightpt = jarc->pwlArc->pts->param[0]; extrema[3] = jarc; } if ( jarc->tail()[1] < botpt || (jarc->tail()[1] <= botpt && jarc->rhead()[1] <= botpt )) { botpt = jarc->pwlArc->pts->param[1]; extrema[2] = jarc; } if ( jarc->tail()[1] > toppt || (jarc->tail()[1] >= toppt && jarc->rhead()[1] >= toppt)) { toppt = jarc->pwlArc->pts->param[1]; extrema[0] = jarc; } }}/*------------------------------------------------------------------------- * show - print to the stdout the vertices of a pwl arc *------------------------------------------------------------------------- */voidArc::show(){#ifndef NDEBUG _glu_dprintf( "\tPWLARC NP: %d FL: 1\n", pwlArc->npts ); for( int i = 0; i < pwlArc->npts; i++ ) { _glu_dprintf( "\t\tVERTEX %f %f\n", pwlArc->pts[i].param[0], pwlArc->pts[i].param[1] ); }#endif}/*------------------------------------------------------------------------- * print - print out the vertices of all pwl arcs on a loop *------------------------------------------------------------------------- */voidArc::print( void ){ Arc_ptr jarc = this;#ifndef NDEBUG _glu_dprintf( "BGNTRIM\n" );#endif do { jarc->show( ); jarc = jarc->next; } while (jarc != this);#ifndef NDEBUG _glu_dprintf("ENDTRIM\n" );#endif}/*------------------------------------------------------------------------- * isDisconnected - check if tail of arc and head of prev meet *------------------------------------------------------------------------- */intArc::isDisconnected( void ){ if( pwlArc == 0 ) return 0; if( prev->pwlArc == 0 ) return 0; REAL *p0 = tail(); REAL *p1 = prev->rhead(); if( ((p0[0] - p1[0]) > ZERO) || ((p1[0] - p0[0]) > ZERO) || ((p0[1] - p1[1]) > ZERO) || ((p1[1] - p0[1]) > ZERO) ) {#ifndef NDEBUG _glu_dprintf( "x coord = %f %f %f\n", p0[0], p1[0], p0[0] - p1[0] ); _glu_dprintf( "y coord = %f %f %f\n", p0[1], p1[1], p0[1] - p1[1] );#endif return 1; } else { /* average two points together */ p0[0] = p1[0] = (p1[0] + p0[0]) * 0.5; p0[1] = p1[1] = (p1[1] + p0[1]) * 0.5; return 0; }}/*------------------------------------------------------------------------- * neq_vert - assert that two 2D vertices are not equal *------------------------------------------------------------------------- */inline static intneq_vert( REAL *v1, REAL *v2 ){ return ((v1[0] != v2[0]) || (v1[1] != v2[1] )) ? 1 : 0;}/*------------------------------------------------------------------------- * check - verify consistency of a loop, including * 1) if pwl, no two consecutive vertices are identical * 2) the circular link pointers are valid * 3) the geometric info at the head and tail are consistent *------------------------------------------------------------------------- */intArc::check( void ){ if( this == 0 ) return 1; Arc_ptr jarc = this; do { assert( (jarc->pwlArc != 0) || (jarc->bezierArc != 0) ); if (jarc->prev == 0 || jarc->next == 0) {#ifndef NDEBUG _glu_dprintf( "checkjarc:null next/prev pointer\n"); jarc->print( );#endif return 0; } if (jarc->next->prev != jarc) {#ifndef NDEBUG _glu_dprintf( "checkjarc: pointer linkage screwed up\n"); jarc->print( );#endif return 0; } if( jarc->pwlArc ) {#ifndef NDEBUG assert( jarc->pwlArc->npts >= 1 ); assert( jarc->pwlArc->npts < 100000 );/* for( int i=0; i < jarc->pwlArc->npts-1; i++ ) assert( neq_vert( jarc->pwlArc->pts[i].param, jarc->pwlArc->pts[i+1].param) );*/#endif if( jarc->prev->pwlArc ) { if( jarc->tail()[1] != jarc->prev->rhead()[1] ) {#ifndef NDEBUG _glu_dprintf( "checkjarc: geometric linkage screwed up 1\n"); jarc->prev->show(); jarc->show();#endif return 0; } if( jarc->tail()[0] != jarc->prev->rhead()[0] ) { #ifndef NDEBUG _glu_dprintf( "checkjarc: geometric linkage screwed up 2\n"); jarc->prev->show(); jarc->show();#endif return 0; } } if( jarc->next->pwlArc ) { if( jarc->next->tail()[0] != jarc->rhead()[0] ) {#ifndef NDEBUG _glu_dprintf( "checkjarc: geometric linkage screwed up 3\n"); jarc->show(); jarc->next->show();#endif return 0; } if( jarc->next->tail()[1] != jarc->rhead()[1] ) {#ifndef NDEBUG _glu_dprintf( "checkjarc: geometric linkage screwed up 4\n"); jarc->show(); jarc->next->show();#endif return 0; } } if( jarc->isbezier() ) { assert( jarc->pwlArc->npts == 2 ); assert( (jarc->pwlArc->pts[0].param[0] == \ jarc->pwlArc->pts[1].param[0]) ||\ (jarc->pwlArc->pts[0].param[1] == \ jarc->pwlArc->pts[1].param[1]) ); } } jarc = jarc->next; } while (jarc != this); return 1;}#define TOL 0.00001inline long tooclose( REAL x, REAL y ){ return (glu_abs(x-y) < TOL) ? 1 : 0;}/*-------------------------------------------------------------------------- * append - append a jordan arc to a circularly linked list *-------------------------------------------------------------------------- */Arc_ptrArc::append( Arc_ptr jarc ){ if( jarc != 0 ) { next = jarc->next; prev = jarc; next->prev = prev->next = this; } else { next = prev = this; } return this;}
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