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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++
+ *
+ * $Date: 2001/03/17 00:25:40 $ $Revision: 1.1 $
+ * $Header: /home/krh/git/sync/mesa-cvs-repo/Mesa/src/glu/sgi/libnurbs/internals/arc.cc,v 1.1 2001/03/17 00:25:40 brianp Exp $
+ */
+
+#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
+ *--------------------------------------------------------------------------
+ */
+
+void
+Arc::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
+ *--------------------------------------------------------------------------
+ */
+
+int
+Arc::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
+ *--------------------------------------------------------------------------
+ */
+
+void
+Arc::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
+ *--------------------------------------------------------------------------
+ */
+
+void
+Arc::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
+ *-------------------------------------------------------------------------
+ */
+
+void
+Arc::show()
+{
+#ifndef NDEBUG
+ dprintf( "\tPWLARC NP: %d FL: 1\n", pwlArc->npts );
+ for( int i = 0; i < pwlArc->npts; i++ ) {
+ 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
+ *-------------------------------------------------------------------------
+ */
+
+void
+Arc::print( void )
+{
+ Arc_ptr jarc = this;
+
+ if( ! this ) {
+#ifndef NDEBUG
+ dprintf( "\n\nEMPTY TRIM\n\n" );
+#endif
+ return;
+ }
+
+#ifndef NDEBUG
+ dprintf( "BGNTRIM\n" );
+#endif
+ do {
+ jarc->show( );
+ jarc = jarc->next;
+ } while (jarc != this);
+#ifndef NDEBUG
+ dprintf("ENDTRIM\n" );
+#endif
+}
+
+/*-------------------------------------------------------------------------
+ * isDisconnected - check if tail of arc and head of prev meet
+ *-------------------------------------------------------------------------
+ */
+
+int
+Arc::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
+ dprintf( "x coord = %f %f %f\n", p0[0], p1[0], p0[0] - p1[0] );
+ 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 int
+neq_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
+ *-------------------------------------------------------------------------
+ */
+
+int
+Arc::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
+ dprintf( "checkjarc:null next/prev pointer\n");
+ jarc->print( );
+#endif
+ return 0;
+ }
+
+ if (jarc->next->prev != jarc) {
+#ifndef NDEBUG
+ 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
+ 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
+ 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
+ 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
+ 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 0.00001
+
+inline long tooclose( REAL x, REAL y )
+{
+ return (abs(x-y) < TOL) ? 1 : 0;
+}
+
+
+/*--------------------------------------------------------------------------
+ * append - append a jordan arc to a circularly linked list
+ *--------------------------------------------------------------------------
+ */
+
+Arc_ptr
+Arc::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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