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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.
-*/
-
-/*
- * intersect.c++
- *
- */
-
-#include "glimports.h"
-#include "myassert.h"
-#include "mystdio.h"
-#include "subdivider.h"
-#include "arc.h"
-#include "bin.h"
-#include "backend.h"
-#include "trimvertpool.h"
-
-/*#define NOTDEF*/
-
-enum i_result { INTERSECT_VERTEX, INTERSECT_EDGE };
-
-/* local functions */
-#ifndef NDEBUG // for asserts only
-static int arc_classify( Arc_ptr, int, REAL );
-#endif
-static enum i_result pwlarc_intersect( PwlArc *, int, REAL, int, int[3] );
-
-
-void
-Subdivider::partition( Bin & bin, Bin & left, Bin & intersections,
- Bin & right, Bin & unknown, int param, REAL value )
-{
- Bin headonleft, headonright, tailonleft, tailonright;
-
- for( Arc_ptr jarc = bin.removearc(); jarc; jarc = bin.removearc() ) {
-
- REAL tdiff = jarc->tail()[param] - value;
- REAL hdiff = jarc->head()[param] - value;
-
- if( tdiff > 0.0 ) {
- if( hdiff > 0.0 ) {
- right.addarc( jarc );
- } else if( hdiff == 0.0 ) {
- tailonright.addarc( jarc );
- } else {
- Arc_ptr jtemp;
- switch( arc_split(jarc, param, value, 0) ) {
- case 2:
- tailonright.addarc( jarc );
- headonleft.addarc( jarc->next );
- break;
- case 31:
- assert( jarc->head()[param] > value );
- right.addarc( jarc );
- tailonright.addarc( jtemp = jarc->next );
- headonleft.addarc( jtemp->next );
- break;
- case 32:
- assert( jarc->head()[param] <= value );
- tailonright .addarc( jarc );
- headonleft.addarc( jtemp = jarc->next );
- left.addarc( jtemp->next );
- break;
- case 4:
- right.addarc( jarc );
- tailonright.addarc( jtemp = jarc->next );
- headonleft.addarc( jtemp = jtemp->next );
- left.addarc( jtemp->next );
- }
- }
- } else if( tdiff == 0.0 ) {
- if( hdiff > 0.0 ) {
- headonright.addarc( jarc );
- } else if( hdiff == 0.0 ) {
- unknown.addarc( jarc );
- } else {
- headonleft.addarc( jarc );
- }
- } else {
- if( hdiff > 0.0 ) {
- Arc_ptr jtemp;
- switch( arc_split(jarc, param, value, 1) ) {
- case 2:
- tailonleft.addarc( jarc );
- headonright.addarc( jarc->next );
- break;
- case 31:
- assert( jarc->head()[param] < value );
- left.addarc( jarc );
- tailonleft.addarc( jtemp = jarc->next );
- headonright.addarc( jtemp->next );
- break;
- case 32:
- assert( jarc->head()[param] >= value );
- tailonleft.addarc( jarc );
- headonright.addarc( jtemp = jarc->next );
- right.addarc( jtemp->next );
- break;
- case 4:
- left.addarc( jarc );
- tailonleft.addarc( jtemp = jarc->next );
- headonright.addarc( jtemp = jtemp->next );
- right.addarc( jtemp->next );
- }
- } else if( hdiff == 0.0 ) {
- tailonleft.addarc( jarc );
- } else {
- left.addarc( jarc );
- }
- }
- }
- if( param == 0 ) {
- classify_headonleft_s( headonleft, intersections, left, value );
- classify_tailonleft_s( tailonleft, intersections, left, value );
- classify_headonright_s( headonright, intersections, right, value );
- classify_tailonright_s( tailonright, intersections, right, value );
- } else {
- classify_headonleft_t( headonleft, intersections, left, value );
- classify_tailonleft_t( tailonleft, intersections, left, value );
- classify_headonright_t( headonright, intersections, right, value );
- classify_tailonright_t( tailonright, intersections, right, value );
- }
-}
-
-inline static void
-vert_interp( TrimVertex *n, TrimVertex *l, TrimVertex *r, int p, REAL val )
-{
- assert( val > l->param[p]);
- assert( val < r->param[p]);
-
- n->nuid = l->nuid;
-
- n->param[p] = val;
- if( l->param[1-p] != r->param[1-p] ) {
- REAL ratio = (val - l->param[p]) / (r->param[p] - l->param[p]);
- n->param[1-p] = l->param[1-p] +
- ratio * (r->param[1-p] - l->param[1-p]);
- } else {
- n->param[1-p] = l->param[1-p];
- }
-}
-
-int
-Subdivider::arc_split( Arc_ptr jarc, int param, REAL value, int dir )
-{
- int maxvertex = jarc->pwlArc->npts;
- Arc_ptr jarc1;
- TrimVertex* v = jarc->pwlArc->pts;
-
- int loc[3];
- switch( pwlarc_intersect( jarc->pwlArc, param, value, dir, loc ) ) {
-
- // When the parameter value lands on a vertex, life is sweet
- case INTERSECT_VERTEX: {
- jarc1 = new(arcpool) Arc( jarc, new( pwlarcpool) PwlArc( maxvertex-loc[1], &v[loc[1]] ) );
- jarc->pwlArc->npts = loc[1] + 1;
- jarc1->next = jarc->next;
- jarc1->next->prev = jarc1;
- jarc->next = jarc1;
- jarc1->prev = jarc;
- assert(jarc->check() != 0);
- return 2;
- }
-
- // When the parameter value intersects an edge, we have to
- // interpolate a new vertex. There are special cases
- // if the new vertex is adjacent to one or both of the
- // endpoints of the arc.
- case INTERSECT_EDGE: {
- int i, j;
- if( dir == 0 ) {
- i = loc[0];
- j = loc[2];
- } else {
- i = loc[2];
- j = loc[0];
- }
-
-#ifndef NOTDEF
- // The split is between vertices at index j and i, in that
- // order (j < i)
-
- // JEB: This code is my idea of how to do the split without
- // increasing the number of links. I'm doing this so that
- // the is_rect routine can recognize rectangles created by
- // subdivision. In exchange for simplifying the curve list,
- // however, it costs in allocated space and vertex copies.
-
- TrimVertex *newjunk = trimvertexpool.get(maxvertex -i+1 /*-j*/);
- int k;
- for(k=0; k<maxvertex-i; k++)
- {
- newjunk[k+1] = v[i+k];
- newjunk[k+1].nuid = jarc->nuid;
- }
-
- TrimVertex *vcopy = trimvertexpool.get(maxvertex);
- for(k=0; k<maxvertex; k++)
- {
- vcopy[k].param[0] = v[k].param[0];
- vcopy[k].param[1] = v[k].param[1];
- }
- jarc->pwlArc->pts=vcopy;
-
- v[i].nuid = jarc->nuid;
- v[j].nuid = jarc->nuid;
- vert_interp( &newjunk[0], &v[loc[0]], &v[loc[2]], param, value );
-
- if( showingDegenerate() )
- backend.triangle( &v[i], &newjunk[0], &v[j] );
-
- vcopy[j+1].param[0]=newjunk[0].param[0];
- vcopy[j+1].param[1]=newjunk[0].param[1];
-
-
- jarc1 = new(arcpool) Arc( jarc,
- new(pwlarcpool) PwlArc(maxvertex-i+1 , newjunk ) );
-
- jarc->pwlArc->npts = j+2;
- jarc1->next = jarc->next;
- jarc1->next->prev = jarc1;
- jarc->next = jarc1;
- jarc1->prev = jarc;
- assert(jarc->check() != 0);
-
- return 2;
-#endif //not NOTDEF
- // JEB: This is the original version:
-#ifdef NOTDEF
- Arc_ptr jarc2, jarc3;
-
- TrimVertex *newjunk = trimvertexpool.get(3);
- v[i].nuid = jarc->nuid;
- v[j].nuid = jarc->nuid;
- newjunk[0] = v[j];
- newjunk[2] = v[i];
- vert_interp( &newjunk[1], &v[loc[0]], &v[loc[2]], param, value );
-
- if( showingDegenerate() )
- backend.triangle( &newjunk[2], &newjunk[1], &newjunk[0] );
-
- // New vertex adjacent to both endpoints
- if (maxvertex == 2) {
- jarc1 = new(arcpool) Arc( jarc, new(pwlarcpool) PwlArc( 2, newjunk+1 ) );
- jarc->pwlArc->npts = 2;
- jarc->pwlArc->pts = newjunk;
- jarc1->next = jarc->next;
- jarc1->next->prev = jarc1;
- jarc->next = jarc1;
- jarc1->prev = jarc;
- assert(jarc->check() != 0);
-
- return 2;
-
- // New vertex adjacent to ending point of arc
- } else if (maxvertex - j == 2) {
- jarc1 = new(arcpool) Arc( jarc, new(pwlarcpool) PwlArc( 2, newjunk ) );
- jarc2 = new(arcpool) Arc( jarc, new(pwlarcpool) PwlArc( 2, newjunk+1 ) );
- jarc->pwlArc->npts = maxvertex-1;
- jarc2->next = jarc->next;
- jarc2->next->prev = jarc2;
- jarc->next = jarc1;
- jarc1->prev = jarc;
- jarc1->next = jarc2;
- jarc2->prev = jarc1;
- assert(jarc->check() != 0);
- return 31;
-
- // New vertex adjacent to starting point of arc
- } else if (i == 1) {
- jarc1 = new(arcpool) Arc( jarc, new(pwlarcpool) PwlArc( 2, newjunk+1 ) );
- jarc2 = new(arcpool) Arc( jarc,
- new(pwlarcpool) PwlArc( maxvertex-1, &jarc->pwlArc->pts[1] ) );
- jarc->pwlArc->npts = 2;
- jarc->pwlArc->pts = newjunk;
- jarc2->next = jarc->next;
- jarc2->next->prev = jarc2;
- jarc->next = jarc1;
- jarc1->prev = jarc;
- jarc1->next = jarc2;
- jarc2->prev = jarc1;
- assert(jarc->check() != 0);
- return 32;
-
- // It's somewhere in the middle
- } else {
- jarc1 = new(arcpool) Arc( jarc, new(pwlarcpool) PwlArc( 2, newjunk ) );
- jarc2 = new(arcpool) Arc( jarc, new(pwlarcpool) PwlArc( 2, newjunk+1 ) );
- jarc3 = new(arcpool) Arc( jarc, new(pwlarcpool) PwlArc( maxvertex-i, v+i ) );
- jarc->pwlArc->npts = j + 1;
- jarc3->next = jarc->next;
- jarc3->next->prev = jarc3;
- jarc->next = jarc1;
- jarc1->prev = jarc;
- jarc1->next = jarc2;
- jarc2->prev = jarc1;
- jarc2->next = jarc3;
- jarc3->prev = jarc2;
- assert(jarc->check() != 0);
- return 4;
- }
-#endif // NOTDEF
- }
- default:
- return -1; //picked -1 since it's not used
- }
-}
-
-/*----------------------------------------------------------------------------
- * pwlarc_intersect - find intersection of pwlArc and isoparametric line
- *----------------------------------------------------------------------------
- */
-
-static enum i_result
-pwlarc_intersect(
- PwlArc *pwlArc,
- int param,
- REAL value,
- int dir,
- int loc[3] )
-{
- assert( pwlArc->npts > 0 );
-
- if( dir ) {
- TrimVertex *v = pwlArc->pts;
- int imin = 0;
- int imax = pwlArc->npts - 1;
- assert( value > v[imin].param[param] );
- assert( value < v[imax].param[param] );
- while( (imax - imin) > 1 ) {
- int imid = (imax + imin)/2;
- if( v[imid].param[param] > value )
- imax = imid;
- else if( v[imid].param[param] < value )
- imin = imid;
- else {
- loc[1] = imid;
- return INTERSECT_VERTEX;
- }
- }
- loc[0] = imin;
- loc[2] = imax;
- return INTERSECT_EDGE;
- } else {
- TrimVertex *v = pwlArc->pts;
- int imax = 0;
- int imin = pwlArc->npts - 1;
- assert( value > v[imin].param[param] );
- assert( value < v[imax].param[param] );
- while( (imin - imax) > 1 ) {
- int imid = (imax + imin)/2;
- if( v[imid].param[param] > value )
- imax = imid;
- else if( v[imid].param[param] < value )
- imin = imid;
- else {
- loc[1] = imid;
- return INTERSECT_VERTEX;
- }
- }
- loc[0] = imin;
- loc[2] = imax;
- return INTERSECT_EDGE;
- }
-}
-
-/*----------------------------------------------------------------------------
- * arc_classify - determine which side of a line a jarc lies
- *----------------------------------------------------------------------------
- */
-
-#ifndef NDEBUG // for asserts only
-static int
-arc_classify( Arc_ptr jarc, int param, REAL value )
-{
- REAL tdiff, hdiff;
- if( param == 0 ) {
- tdiff = jarc->tail()[0] - value;
- hdiff = jarc->head()[0] - value;
- } else {
- tdiff = jarc->tail()[1] - value;
- hdiff = jarc->head()[1] - value;
- }
-
- if( tdiff > 0.0 ) {
- if( hdiff > 0.0 ) {
- return 0x11;
- } else if( hdiff == 0.0 ) {
- return 0x12;
- } else {
- return 0x10;
- }
- } else if( tdiff == 0.0 ) {
- if( hdiff > 0.0 ) {
- return 0x21;
- } else if( hdiff == 0.0 ) {
- return 0x22;
- } else {
- return 0x20;
- }
- } else {
- if( hdiff > 0.0 ) {
- return 0x01;
- } else if( hdiff == 0.0 ) {
- return 0x02;
- } else {
- return 0;
- }
- }
-}
-#endif
-
-void
-Subdivider::classify_tailonleft_s( Bin& bin, Bin& in, Bin& out, REAL val )
-{
- /* tail at left, head on line */
- Arc_ptr j;
-
- while( (j = bin.removearc()) != NULL ) {
- assert( arc_classify( j, 0, val ) == 0x02 );
- j->clearitail();
-
- REAL diff = j->next->head()[0] - val;
- if( diff > 0.0 ) {
- in.addarc( j );
- } else if( diff < 0.0 ) {
- if( ccwTurn_sl( j, j->next ) )
- out.addarc( j );
- else
- in.addarc( j );
- } else {
- if( j->next->tail()[1] > j->next->head()[1] )
- in.addarc(j);
- else
- out.addarc(j);
- }
- }
-}
-
-void
-Subdivider::classify_tailonleft_t( Bin& bin, Bin& in, Bin& out, REAL val )
-{
- /* tail at left, head on line */
- Arc_ptr j;
-
- while( (j = bin.removearc()) != NULL ) {
- assert( arc_classify( j, 1, val ) == 0x02 );
- j->clearitail();
-
- REAL diff = j->next->head()[1] - val;
- if( diff > 0.0 ) {
- in.addarc( j );
- } else if( diff < 0.0 ) {
- if( ccwTurn_tl( j, j->next ) )
- out.addarc( j );
- else
- in.addarc( j );
- } else {
- if (j->next->tail()[0] > j->next->head()[0] )
- out.addarc( j );
- else
- in.addarc( j );
- }
- }
-}
-
-void
-Subdivider::classify_headonleft_s( Bin& bin, Bin& in, Bin& out, REAL val )
-{
- /* tail on line, head at left */
- Arc_ptr j;
-
- while( (j = bin.removearc()) != NULL ) {
- assert( arc_classify( j, 0, val ) == 0x20 );
-
- j->setitail();
-
- REAL diff = j->prev->tail()[0] - val;
- if( diff > 0.0 ) {
- out.addarc( j );
- } else if( diff < 0.0 ) {
- if( ccwTurn_sl( j->prev, j ) )
- out.addarc( j );
- else
- in.addarc( j );
- } else {
- if( j->prev->tail()[1] > j->prev->head()[1] )
- in.addarc( j );
- else
- out.addarc( j );
- }
- }
-}
-
-void
-Subdivider::classify_headonleft_t( Bin& bin, Bin& in, Bin& out, REAL val )
-{
- /* tail on line, head at left */
- Arc_ptr j;
-
- while( (j = bin.removearc()) != NULL ) {
- assert( arc_classify( j, 1, val ) == 0x20 );
- j->setitail();
-
- REAL diff = j->prev->tail()[1] - val;
- if( diff > 0.0 ) {
- out.addarc( j );
- } else if( diff < 0.0 ) {
- if( ccwTurn_tl( j->prev, j ) )
- out.addarc( j );
- else
- in.addarc( j );
- } else {
- if( j->prev->tail()[0] > j->prev->head()[0] )
- out.addarc( j );
- else
- in.addarc( j );
- }
- }
-}
-
-
-void
-Subdivider::classify_tailonright_s( Bin& bin, Bin& in, Bin& out, REAL val )
-{
- /* tail at right, head on line */
- Arc_ptr j;
-
- while( (j = bin.removearc()) != NULL ) {
- assert( arc_classify( j, 0, val ) == 0x12);
-
- j->clearitail();
-
- REAL diff = j->next->head()[0] - val;
- if( diff > 0.0 ) {
- if( ccwTurn_sr( j, j->next ) )
- out.addarc( j );
- else
- in.addarc( j );
- } else if( diff < 0.0 ) {
- in.addarc( j );
- } else {
- if( j->next->tail()[1] > j->next->head()[1] )
- out.addarc( j );
- else
- in.addarc( j );
- }
- }
-}
-
-void
-Subdivider::classify_tailonright_t( Bin& bin, Bin& in, Bin& out, REAL val )
-{
- /* tail at right, head on line */
- Arc_ptr j;
-
- while( (j = bin.removearc()) != NULL ) {
- assert( arc_classify( j, 1, val ) == 0x12);
-
- j->clearitail();
-
- REAL diff = j->next->head()[1] - val;
- if( diff > 0.0 ) {
- if( ccwTurn_tr( j, j->next ) )
- out.addarc( j );
- else
- in.addarc( j );
- } else if( diff < 0.0 ) {
- in.addarc( j );
- } else {
- if( j->next->tail()[0] > j->next->head()[0] )
- in.addarc( j );
- else
- out.addarc( j );
- }
- }
-}
-
-void
-Subdivider::classify_headonright_s( Bin& bin, Bin& in, Bin& out, REAL val )
-{
- /* tail on line, head at right */
- Arc_ptr j;
-
- while( (j = bin.removearc()) != NULL ) {
- assert( arc_classify( j, 0, val ) == 0x21 );
-
- j->setitail();
-
- REAL diff = j->prev->tail()[0] - val;
- if( diff > 0.0 ) {
- if( ccwTurn_sr( j->prev, j ) )
- out.addarc( j );
- else
- in.addarc( j );
- } else if( diff < 0.0 ) {
- out.addarc( j );
- } else {
- if( j->prev->tail()[1] > j->prev->head()[1] )
- out.addarc( j );
- else
- in.addarc( j );
- }
- }
-}
-
-void
-Subdivider::classify_headonright_t( Bin& bin, Bin& in, Bin& out, REAL val )
-{
- /* tail on line, head at right */
- Arc_ptr j;
-
- while( (j = bin.removearc()) != NULL ) {
- assert( arc_classify( j, 1, val ) == 0x21 );
-
- j->setitail();
-
- REAL diff = j->prev->tail()[1] - val;
- if( diff > 0.0 ) {
- if( ccwTurn_tr( j->prev, j ) )
- out.addarc( j );
- else
- in.addarc( j );
- } else if( diff < 0.0 ) {
- out.addarc( j );
- } else {
- if( j->prev->tail()[0] > j->prev->head()[0] )
- in.addarc( j );
- else
- out.addarc( j );
- }
- }
-}
-
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