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IABSD.fr/xenocara/lib/libGLU/src/libnurbs/internals/intersect.cc

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  • Author : jsg
    Date : 2013-09-01 03:51:12
    Hash : 729f7da4
    Message : Update to GLU 9.0.0, GLU was previously part of Mesa but is now seperate. tested in a ports bulk build by landry@, ok matthieu@

  • lib/libGLU/src/libnurbs/internals/intersect.cc
  • /*
    ** 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 );
    	}
        }
    }