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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.
-*/
-
-/*
- * monotonizer.c++
- *
- */
-
-#include "glimports.h"
-#include "mystdio.h"
-#include "myassert.h"
-#include "arc.h"
-#include "arctess.h"
-#include "bezierarc.h"
-#include "bin.h"
-#include "mapdesc.h"
-#include "nurbsconsts.h"
-#include "subdivider.h"
-
-/*-----------------------------------------------------------------------------
- * Subdivider::decompose - break all curves into monotone arcs
- *-----------------------------------------------------------------------------
- */
-int
-Subdivider::decompose( Bin& bin, REAL geo_stepsize )
-{
- Arc_ptr jarc;
- for( jarc=bin.firstarc(); jarc; jarc=bin.nextarc() ) {
- if( ! jarc->isTessellated() ) {
- /* points have not been transformed, therefore they may be either
- homogeneous or inhomogeneous */
- tessellate( jarc, geo_stepsize );
- if( jarc->isDisconnected() || jarc->next->isDisconnected() )
- return 1;
- }
- }
-
- for( jarc=bin.firstarc(); jarc; jarc=bin.nextarc() ) {
- monotonize( jarc, bin );
- }
-
-#ifndef NDEBUG
- for( jarc=bin.firstarc(); jarc; jarc=bin.nextarc() ) {
- assert( isMonotone( jarc ) != 0 );
- }
-#endif
-
- return 0;
-}
-
-void
-Subdivider::tessellate( Arc_ptr jarc, REAL geo_stepsize )
-{
- BezierArc *b = jarc->bezierArc;
- Mapdesc *mapdesc = b->mapdesc;
-
- if( mapdesc->isRational() ) {
- REAL max = mapdesc->calcVelocityRational( b->cpts, b->stride, b->order );
- REAL arc_stepsize = (max > 1.0) ? (1.0/max) : 1.0;
- if( jarc->bezierArc->order != 2 )
- arctessellator.tessellateNonlinear( jarc, geo_stepsize, arc_stepsize, 1 );
- else {
- arctessellator.tessellateLinear( jarc, geo_stepsize, arc_stepsize, 1 );
- }
- } else {
- REAL max = mapdesc->calcVelocityNonrational( b->cpts, b->stride, b->order );
- REAL arc_stepsize = (max > 1.0) ? (1.0/max) : 1.0;
- if( jarc->bezierArc->order != 2 )
- arctessellator.tessellateNonlinear( jarc, geo_stepsize, arc_stepsize, 0 );
- else {
- arctessellator.tessellateLinear( jarc, geo_stepsize, arc_stepsize, 0 );
- }
- }
-}
-
-/*-------------------------------------------------------------------------
- * Subdivider::monotonize - break up a jordan arc into s,t-monotone
- * components. This code will remove degenerate segments, including
- * arcs of only a single point.
- *-------------------------------------------------------------------------
- */
-void
-Subdivider::monotonize( Arc_ptr jarc, Bin& bin )
-{
- TrimVertex *firstvert = jarc->pwlArc->pts;
- TrimVertex *lastvert = firstvert + (jarc->pwlArc->npts - 1);
- long uid = jarc->nuid;
- arc_side side = jarc->getside();
- dir sdir = none;
- dir tdir = none;
- int degenerate = 1;
-
- int nudegenerate;
- int change;
-
- TrimVertex *vert;
- for( vert = firstvert; vert != lastvert; vert++ ) {
-
- nudegenerate = 1;
- change = 0;
-
- /* check change relative to s axis, clear degenerate bit if needed */
- REAL sdiff = vert[1].param[0] - vert[0].param[0];
- if( sdiff == 0 ) {
- if( sdir != same ) {
- sdir = same;
- change = 1;
- }
- } else if( sdiff < 0.0 ) {
- if( sdir != down ) {
- sdir = down;
- change = 1;
- }
- nudegenerate = 0;
- } else {
- if( sdir != up ) {
- sdir = up;
- change = 1;
- }
- nudegenerate = 0;
- }
-
- /* check change relative to t axis, clear degenerate bit if needed */
- REAL tdiff = vert[1].param[1] - vert[0].param[1];
- if( tdiff == 0 ) {
- if( tdir != same ) {
- tdir = same;
- change = 1;
- }
- } else if( tdiff < 0.0 ) {
- if( tdir != down ) {
- tdir = down;
- change = 1;
- }
- nudegenerate = 0;
- } else {
- if( tdir != up ) {
- tdir = up;
- change = 1;
- }
- nudegenerate = 0;
- }
-
- if( change ) {
- if( ! degenerate ) {
- /* make last segment into separate pwl curve */
- jarc->pwlArc->npts = vert - firstvert + 1;
- jarc = (new(arcpool) Arc( side, uid ))->append( jarc );
- jarc->pwlArc = new(pwlarcpool) PwlArc();
- bin.addarc( jarc );
- }
- firstvert = jarc->pwlArc->pts = vert;
- degenerate = nudegenerate;
- }
- }
- jarc->pwlArc->npts = vert - firstvert + 1;
-
- if( degenerate ) {
- /* remove jarc from circularly linked list */
- jarc->prev->next = jarc->next;
- jarc->next->prev = jarc->prev;
-
- assert( jarc->prev->check( ) != 0 );
- assert( jarc->next->check( ) != 0 );
-
- /* remove jarc from bin */
- bin.remove_this_arc( jarc );
-
- jarc->pwlArc->deleteMe( pwlarcpool ); jarc->pwlArc = 0;
- jarc->deleteMe( arcpool );
- }
-}
-
-/*-------------------------------------------------------------------------
- * Subdivider::isMonotone - return true if arc is monotone AND non-degenerate
- *-------------------------------------------------------------------------
- */
-int
-Subdivider::isMonotone( Arc_ptr jarc )
-{
- TrimVertex *firstvert = jarc->pwlArc->pts;
- TrimVertex *lastvert = firstvert + (jarc->pwlArc->npts - 1);
-
- if( firstvert == lastvert ) return 1;
-
- TrimVertex *vert = firstvert;
- enum dir sdir;
- enum dir tdir;
-
- REAL diff = vert[1].param[0] - vert[0].param[0];
- if( diff == 0.0 )
- sdir = same;
- else if( diff < 0.0 )
- sdir = down;
- else
- sdir = up;
-
- diff = vert[1].param[1] - vert[0].param[1];
- if( diff == 0.0 )
- tdir = same;
- else if( diff < 0.0 )
- tdir = down;
- else
- tdir = up;
-
- if( (sdir == same) && (tdir == same) ) return 0;
-
- for( ++vert ; vert != lastvert; vert++ ) {
- diff = vert[1].param[0] - vert[0].param[0];
- if( diff == 0.0 ) {
- if( sdir != same ) return 0;
- } else if( diff < 0.0 ) {
- if( sdir != down ) return 0;
- } else {
- if( sdir != up ) return 0;
- }
-
- diff = vert[1].param[1] - vert[0].param[1];
- if( diff == 0.0 ) {
- if( tdir != same ) return 0;
- } else if( diff < 0.0 ) {
- if( tdir != down ) return 0;
- } else {
- if( tdir != up ) return 0;
- }
- }
- return 1;
-}
-