SGI SI GLU library

1 files changed, 843 insertions, 0 deletions

diff --git a/src/glu/sgi/libnurbs/internals/mapdesc.cc b/src/glu/sgi/libnurbs/internals/mapdesc.cc
new file mode 100644
index 00000000000..893ab743386
--- /dev/null
+++ b/src/glu/sgi/libnurbs/internals/mapdesc.cc
@@ -0,0 +1,843 @@
+/*
+** 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.
+*/
+
+/*
+ * mapdesc.c++
+ *
+ * $Date: 2001/03/17 00:25:41 $ $Revision: 1.1 $
+ * $Header: /home/krh/git/sync/mesa-cvs-repo/Mesa/src/glu/sgi/libnurbs/internals/mapdesc.cc,v 1.1 2001/03/17 00:25:41 brianp Exp $
+ */
+
+#include <stdio.h>
+#include "glimports.h"
+#include "mystdio.h"
+#include "myassert.h"
+#include "mystring.h"
+#include "mymath.h"
+#include "backend.h"
+#include "nurbsconsts.h"
+#include "mapdesc.h"
+
+Mapdesc::Mapdesc( long _type, int _israt, int _ncoords, Backend& b ) 
+    : backend( b )
+{
+    type 		= _type;
+    isrational 		= _israt;
+    ncoords 		= _ncoords;
+    hcoords		= _ncoords + (_israt ? 0 : 1 );
+    inhcoords		= _ncoords - (_israt ? 1 : 0 );
+    mask 		= ((1<<(inhcoords*2))-1);
+    next		= 0;
+
+    assert( hcoords <= MAXCOORDS );
+    assert( inhcoords >= 1 );
+
+    pixel_tolerance 	= 1.0;
+    error_tolerance	= 1.0;
+    bbox_subdividing	= N_NOBBOXSUBDIVISION;
+    culling_method 	= N_NOCULLING;		
+    sampling_method 	= N_NOSAMPLING;
+    clampfactor 	= N_NOCLAMPING;
+    minsavings 		= N_NOSAVINGSSUBDIVISION;
+    s_steps  		= 0.0;
+    t_steps 		= 0.0;
+    maxrate 		= ( s_steps < 0.0 ) ? 0.0 : s_steps;
+    maxsrate 		= ( s_steps < 0.0 ) ? 0.0 : s_steps;
+    maxtrate 		= ( t_steps < 0.0 ) ? 0.0 : t_steps;
+    identify( bmat );
+    identify( cmat );
+    identify( smat );
+    for( int i = 0; i != inhcoords; i++ )
+	bboxsize[i] = 1.0;
+}
+
+void
+Mapdesc::setBboxsize( INREAL *mat )
+{
+    for( int i = 0; i != inhcoords; i++ )
+	bboxsize[i] = (REAL) mat[i];
+}
+
+void
+Mapdesc::identify( REAL dest[MAXCOORDS][MAXCOORDS] )
+{
+    memset( dest, 0, sizeof( dest ) );
+    for( int i=0; i != hcoords; i++ )
+	dest[i][i] = 1.0;
+}
+
+void
+Mapdesc::surfbbox( REAL bb[2][MAXCOORDS] )
+{
+    backend.surfbbox( type, bb[0], bb[1] );
+}
+
+void 
+Mapdesc::copy( REAL dest[MAXCOORDS][MAXCOORDS], long n, INREAL *src,
+	long rstride, long cstride )
+{
+    assert( n >= 0 );
+    for( int i=0; i != n; i++ )
+        for( int j=0; j != n; j++ )
+	    dest[i][j] = src[i*rstride + j*cstride];
+}
+
+/*--------------------------------------------------------------------------
+ * copyPt - copy a homogeneous point
+ *--------------------------------------------------------------------------
+ */
+void
+Mapdesc::copyPt( REAL *d, REAL *s )
+{
+    assert( hcoords > 0 );
+    switch( hcoords  ) {
+	case 4: 
+	    d[3] = s[3];
+	    d[2] = s[2];
+	    d[1] = s[1];
+	    d[0] = s[0];
+	    break;
+	case 3: 
+	    d[2] = s[2];
+	    d[1] = s[1];
+	    d[0] = s[0];
+	    break;
+	case 2: 
+	    d[1] = s[1];
+	    d[0] = s[0];
+	    break;
+	case 1: 
+	    d[0] = s[0];
+	    break;
+	case 5: 
+	    d[4] = s[4];
+	    d[3] = s[3];
+	    d[2] = s[2];
+	    d[1] = s[1];
+	    d[0] = s[0];
+	    break;
+	default:
+	    memcpy( d, s, hcoords * sizeof( REAL ) );
+	    break;
+    }
+}
+
+/*--------------------------------------------------------------------------
+ * sumPt - compute affine combination of two homogeneous points
+ *--------------------------------------------------------------------------
+ */
+void
+Mapdesc::sumPt( REAL *dst, REAL *src1, REAL *src2, register REAL alpha, register REAL beta )
+{
+    assert( hcoords > 0 );
+    switch( hcoords  ) {
+	case 4: 
+	    dst[3] = src1[3] * alpha + src2[3] * beta;
+	    dst[2] = src1[2] * alpha + src2[2] * beta;
+	    dst[1] = src1[1] * alpha + src2[1] * beta;
+	    dst[0] = src1[0] * alpha + src2[0] * beta;
+	    break;
+	case 3: 
+	    dst[2] = src1[2] * alpha + src2[2] * beta;
+	    dst[1] = src1[1] * alpha + src2[1] * beta;
+	    dst[0] = src1[0] * alpha + src2[0] * beta;
+	    break;
+	case 2: 
+	    dst[1] = src1[1] * alpha + src2[1] * beta;
+	    dst[0] = src1[0] * alpha + src2[0] * beta;
+	    break;
+	case 1: 
+	    dst[0] = src1[0] * alpha + src2[0] * beta;
+	    break;
+	case 5: 
+	    dst[4] = src1[4] * alpha + src2[4] * beta;
+	    dst[3] = src1[3] * alpha + src2[3] * beta;
+	    dst[2] = src1[2] * alpha + src2[2] * beta;
+	    dst[1] = src1[1] * alpha + src2[1] * beta;
+	    dst[0] = src1[0] * alpha + src2[0] * beta;
+	    break;
+	default: {
+		for( int i = 0; i != hcoords; i++ )
+		    dst[i] = src1[i] * alpha + src2[i] * beta;
+            }
+	    break;
+    }
+}
+
+/*--------------------------------------------------------------------------
+ * clipbits - compute bit-vector indicating point/window position
+ *		       of a (transformed) homogeneous point
+ *--------------------------------------------------------------------------
+ */
+unsigned int
+Mapdesc::clipbits( REAL *p )
+{
+    assert( inhcoords >= 0 );
+    assert( inhcoords <= 3 );
+
+    register int nc = inhcoords;
+    register REAL pw = p[nc];
+    register REAL nw = -pw;
+    register unsigned int bits = 0;
+
+    if( pw == 0.0 ) return mask;
+
+    if( pw > 0.0 ) {
+	switch( nc ) {
+	case 3:
+	    if( p[2] <= pw ) bits |= (1<<5);
+	    if( p[2] >= nw ) bits |= (1<<4);
+	    if( p[1] <= pw ) bits |= (1<<3);
+	    if( p[1] >= nw ) bits |= (1<<2);
+	    if( p[0] <= pw ) bits |= (1<<1);
+	    if( p[0] >= nw ) bits |= (1<<0);
+            return bits;
+	case 2:
+	    if( p[1] <= pw ) bits |= (1<<3);
+	    if( p[1] >= nw ) bits |= (1<<2);
+	    if( p[0] <= pw ) bits |= (1<<1);
+	    if( p[0] >= nw ) bits |= (1<<0);
+            return bits;
+	case 1:
+	    if( p[0] <= pw ) bits |= (1<<1);
+	    if( p[0] >= nw ) bits |= (1<<0);
+            return bits;
+	default: {
+		int bit = 1;
+		for( int i=0; i<nc; i++ ) {
+		    if( p[i] >= nw ) bits |= bit; 
+		    bit <<= 1;
+		    if( p[i] <= pw ) bits |= bit; 
+		    bit <<= 1;
+		}
+		abort();
+		break;
+	    }
+	}
+    } else { 
+	switch( nc ) {
+	case 3:
+	    if( p[2] <= nw ) bits |= (1<<5);
+	    if( p[2] >= pw ) bits |= (1<<4);
+	    if( p[1] <= nw ) bits |= (1<<3);
+	    if( p[1] >= pw ) bits |= (1<<2);
+	    if( p[0] <= nw ) bits |= (1<<1);
+	    if( p[0] >= pw ) bits |= (1<<0);
+            return bits;
+	case 2:
+	    if( p[1] <= nw ) bits |= (1<<3);
+	    if( p[1] >= pw ) bits |= (1<<2);
+	    if( p[0] <= nw ) bits |= (1<<1);
+	    if( p[0] >= pw ) bits |= (1<<0);
+            return bits;
+	case 1:
+	    if( p[0] <= nw ) bits |= (1<<1);
+	    if( p[0] >= pw ) bits |= (1<<0);
+            return bits;
+	default: {
+		int bit = 1; 
+		for( int i=0; i<nc; i++ ) {
+		    if( p[i] >= pw ) bits |= bit; 
+		    bit <<= 1;
+		    if( p[i] <= nw ) bits |= bit; 
+		    bit <<= 1;
+		}
+		abort();
+		break;
+	    }
+	}
+    }
+    return bits;
+}
+
+/*--------------------------------------------------------------------------
+ * xformRational - transform a homogeneous point
+ *--------------------------------------------------------------------------
+ */
+void
+Mapdesc::xformRational( Maxmatrix mat, REAL *d, REAL *s )
+{
+    assert( hcoords >= 0 );
+
+    if( hcoords == 3 ) {
+	REAL x = s[0];
+	REAL y = s[1];
+	REAL z = s[2];
+	d[0] = x*mat[0][0]+y*mat[1][0]+z*mat[2][0];
+	d[1] = x*mat[0][1]+y*mat[1][1]+z*mat[2][1];
+	d[2] = x*mat[0][2]+y*mat[1][2]+z*mat[2][2];
+    } else if( hcoords == 4 ) {
+	REAL x = s[0];
+	REAL y = s[1];
+	REAL z = s[2];
+	REAL w = s[3];
+	d[0] = x*mat[0][0]+y*mat[1][0]+z*mat[2][0]+w*mat[3][0];
+	d[1] = x*mat[0][1]+y*mat[1][1]+z*mat[2][1]+w*mat[3][1];
+	d[2] = x*mat[0][2]+y*mat[1][2]+z*mat[2][2]+w*mat[3][2];
+	d[3] = x*mat[0][3]+y*mat[1][3]+z*mat[2][3]+w*mat[3][3];
+    } else {
+	for( int i=0; i != hcoords; i++ ) {
+	    d[i] = 0;
+	    for( int j = 0; j != hcoords; j++ )
+		d[i] += s[j] * mat[j][i];
+	}
+    }
+}
+
+/*--------------------------------------------------------------------------
+ * xformNonrational - transform a inhomogeneous point to a homogeneous point
+ *--------------------------------------------------------------------------
+ */
+void
+Mapdesc::xformNonrational( Maxmatrix mat, REAL *d, REAL *s )
+{
+    if( inhcoords == 2 ) {
+	REAL x = s[0];
+	REAL y = s[1];
+	d[0] = x*mat[0][0]+y*mat[1][0]+mat[2][0];
+	d[1] = x*mat[0][1]+y*mat[1][1]+mat[2][1];
+	d[2] = x*mat[0][2]+y*mat[1][2]+mat[2][2];
+    } else if( inhcoords == 3 ) {
+	REAL x = s[0];
+	REAL y = s[1];
+	REAL z = s[2];
+	d[0] = x*mat[0][0]+y*mat[1][0]+z*mat[2][0]+mat[3][0];
+	d[1] = x*mat[0][1]+y*mat[1][1]+z*mat[2][1]+mat[3][1];
+	d[2] = x*mat[0][2]+y*mat[1][2]+z*mat[2][2]+mat[3][2];
+	d[3] = x*mat[0][3]+y*mat[1][3]+z*mat[2][3]+mat[3][3];
+    } else {
+        assert( inhcoords >= 0 );
+	for( int i=0; i != hcoords; i++ ) {
+	    d[i] = mat[inhcoords][i];
+	    for( int j = 0; j < inhcoords; j++ )
+		d[i] += s[j] * mat[j][i];
+	}
+    }
+}
+
+/*--------------------------------------------------------------------------
+ * xformAndCullCheck - transform a set of points that may be EITHER 
+ *	homogeneous or inhomogeneous depending on the map description and
+ *	check if they are either completely inside, completely outside, 
+ *	or intersecting the viewing frustrum.
+ *--------------------------------------------------------------------------
+ */
+int
+Mapdesc::xformAndCullCheck( 
+    REAL *pts, int uorder, int ustride, int vorder, int vstride )
+{
+    assert( uorder > 0 );
+    assert( vorder > 0 );
+
+    unsigned int inbits = mask;
+    unsigned int outbits = 0;
+
+    REAL *p = pts;
+    for( REAL *pend = p + uorder * ustride; p != pend; p += ustride ) {
+        REAL *q = p;
+        for( REAL *qend = q + vorder * vstride; q != qend; q += vstride ) {
+    	    REAL cpts[MAXCOORDS];
+	    xformCulling( cpts, q );
+	    unsigned int bits = clipbits( cpts );
+	    outbits |= bits;
+	    inbits &= bits;
+	    if( ( outbits == mask ) && ( inbits != mask ) ) return CULL_ACCEPT;
+	} 
+    }
+
+    if( outbits != mask ) {
+	return CULL_TRIVIAL_REJECT;
+    } else if( inbits == mask ) {
+	return CULL_TRIVIAL_ACCEPT;
+    } else {
+	return CULL_ACCEPT;
+    }
+}
+
+/*--------------------------------------------------------------------------
+ * cullCheck - check if a set of homogeneous transformed points are 
+ *	either completely inside, completely outside, 
+ *	or intersecting the viewing frustrum.
+ *--------------------------------------------------------------------------
+ */
+int
+Mapdesc::cullCheck( REAL *pts, int uorder, int ustride, int vorder, int vstride )
+{
+    unsigned int inbits = mask;
+    unsigned int outbits  = 0;
+
+    REAL *p = pts;
+    for( REAL *pend = p + uorder * ustride; p != pend; p += ustride ) {
+        REAL *q = p;
+        for( REAL *qend = q + vorder * vstride; q != qend; q += vstride ) {
+	    unsigned int bits = clipbits( q );
+	    outbits |= bits;
+	    inbits &= bits;
+	    if( ( outbits == mask ) && ( inbits != mask ) ) return CULL_ACCEPT;
+	} 
+    }
+
+    if( outbits != mask ) {
+	return CULL_TRIVIAL_REJECT;
+    } else if( inbits == mask ) {
+	return CULL_TRIVIAL_ACCEPT;
+    } else {
+	return CULL_ACCEPT;
+    }
+}
+
+/*--------------------------------------------------------------------------
+ * cullCheck - check if a set of homogeneous transformed points are 
+ *	either completely inside, completely outside, 
+ *	or intersecting the viewing frustrum.
+ *--------------------------------------------------------------------------
+ */
+int
+Mapdesc::cullCheck( REAL *pts, int order, int stride )
+{
+    unsigned int inbits = mask;
+    unsigned int outbits  = 0;
+
+    REAL *p = pts;
+    for( REAL *pend = p + order * stride; p != pend; p += stride ) {
+	unsigned int bits = clipbits( p );
+	outbits |= bits;
+	inbits &= bits;
+	if( ( outbits == mask ) && ( inbits != mask ) ) return CULL_ACCEPT;
+    }
+
+    if( outbits != mask ) {
+	return CULL_TRIVIAL_REJECT;
+    } else if( inbits == mask ) {
+	return CULL_TRIVIAL_ACCEPT;
+    } else {
+	return CULL_ACCEPT;
+    }
+}
+
+/*--------------------------------------------------------------------------
+ * xformSampling - transform a set of points that may be EITHER 
+ *	homogeneous or inhomogeneous depending on the map description 
+ *	into sampling space 
+ *--------------------------------------------------------------------------
+ */
+void
+Mapdesc::xformSampling( REAL *pts, int order, int stride, REAL *sp, int outstride )
+{
+    xformMat( smat, pts, order, stride, sp, outstride );
+}
+
+void
+Mapdesc::xformBounding( REAL *pts, int order, int stride, REAL *sp, int outstride )
+{
+    xformMat( bmat, pts, order, stride, sp, outstride );
+}
+
+/*--------------------------------------------------------------------------
+ * xformCulling - transform a set of points that may be EITHER 
+ *	homogeneous or inhomogeneous depending on the map description 
+ *	into culling space 
+ *--------------------------------------------------------------------------
+ */
+void
+Mapdesc::xformCulling( REAL *pts, int order, int stride, REAL *cp, int outstride )
+{
+    xformMat( cmat, pts, order, stride, cp, outstride );
+}
+
+/*--------------------------------------------------------------------------
+ * xformCulling - transform a set of points that may be EITHER 
+ *	homogeneous or inhomogeneous depending on the map description 
+ *	into culling space 
+ *--------------------------------------------------------------------------
+ */
+void
+Mapdesc::xformCulling( REAL *pts, 
+    int uorder, int ustride,
+    int vorder, int vstride, 
+    REAL *cp, int outustride, int outvstride )
+{
+    xformMat( cmat, pts, uorder, ustride, vorder, vstride, cp, outustride, outvstride );
+}
+
+/*--------------------------------------------------------------------------
+ * xformSampling - transform a set of points that may be EITHER 
+ *	homogeneous or inhomogeneous depending on the map description 
+ *	into sampling space 
+ *--------------------------------------------------------------------------
+ */
+void
+Mapdesc::xformSampling( REAL *pts, 
+    int uorder, int ustride, 
+    int vorder, int vstride, 
+    REAL *sp, int outustride, int outvstride )
+{
+    xformMat( smat, pts, uorder, ustride, vorder, vstride, sp, outustride, outvstride );
+}
+
+void
+Mapdesc::xformBounding( REAL *pts, 
+    int uorder, int ustride, 
+    int vorder, int vstride, 
+    REAL *sp, int outustride, int outvstride )
+{
+    xformMat( bmat, pts, uorder, ustride, vorder, vstride, sp, outustride, outvstride );
+}
+
+void
+Mapdesc::xformMat( 
+    Maxmatrix	mat, 
+    REAL *	pts, 
+    int 	order, 
+    int 	stride,
+    REAL *	cp, 
+    int 	outstride )
+{
+    if( isrational ) {
+	REAL *pend = pts + order * stride;
+	for( REAL *p = pts ; p != pend; p += stride ) {
+	    xformRational( mat, cp, p );
+	    cp += outstride;
+	}       
+    } else {
+	REAL *pend = pts + order * stride;
+	for( REAL *p = pts ; p != pend; p += stride ) {
+	    xformNonrational( mat, cp, p );
+	    cp += outstride;
+	}	
+    }
+}
+
+void
+Mapdesc::xformMat( Maxmatrix mat, REAL *pts, 
+    int uorder, int ustride, 
+    int vorder, int vstride, 
+    REAL *cp, int outustride, int outvstride )
+{
+    if( isrational ) {
+	REAL *pend = pts + uorder * ustride;
+	for( REAL *p = pts ; p != pend; p += ustride ) {
+	    REAL *cpts2 = cp;
+	    REAL *qend = p + vorder * vstride;
+	    for( REAL *q = p; q != qend; q += vstride ) {
+		xformRational( mat, cpts2, q );
+		cpts2 += outvstride;
+	    } 
+	    cp += outustride;
+	}
+    } else {
+	REAL *pend = pts + uorder * ustride;
+	for( REAL *p = pts ; p != pend; p += ustride ) {
+	    REAL *cpts2 = cp;
+	    REAL *qend = p + vorder * vstride;
+	    for( REAL *q = p; q != qend; q += vstride ) {
+		xformNonrational( mat, cpts2, q );
+		cpts2 += outvstride;
+	    } 
+	    cp += outustride;
+	}
+    }
+}
+
+/*--------------------------------------------------------------------------
+ * subdivide - subdivide a curve along an isoparametric line
+ *--------------------------------------------------------------------------
+ */
+
+void
+Mapdesc::subdivide( REAL *src, REAL *dst, REAL v, int stride, int order )
+{
+    REAL mv = 1.0 - v;
+
+    for( REAL *send=src+stride*order; src!=send; send-=stride, dst+=stride ) {
+	copyPt( dst, src );
+	REAL *qpnt = src + stride;
+	for( REAL *qp=src; qpnt!=send; qp=qpnt, qpnt+=stride )
+	    sumPt( qp, qp, qpnt, mv, v );
+    }
+}
+
+/*--------------------------------------------------------------------------
+ * subdivide - subdivide a patch along an isoparametric line
+ *--------------------------------------------------------------------------
+ */
+
+void
+Mapdesc::subdivide( REAL *src, REAL *dst, REAL v, 
+    int so, int ss, int to, int ts  )
+{
+    REAL mv = 1.0 - v;
+
+    for( REAL *slast = src+ss*so; src != slast; src += ss, dst += ss ) {
+	REAL *sp = src;
+	REAL *dp = dst;
+        for( REAL *send = src+ts*to; sp != send; send -= ts, dp += ts ) {
+	    copyPt( dp, sp );
+	    REAL *qp = sp;
+	    for( REAL *qpnt = sp+ts; qpnt != send; qp = qpnt, qpnt += ts )
+	        sumPt( qp, qp, qpnt, mv, v );
+	}
+    }
+}
+
+
+#define sign(x)	((x > 0) ? 1 : ((x < 0.0) ? -1 : 0))
+
+/*--------------------------------------------------------------------------
+ * project - project a set of homogeneous coordinates into inhomogeneous ones
+ *--------------------------------------------------------------------------
+ */
+int
+Mapdesc::project( REAL *src, int rstride, int cstride, 
+	          REAL *dest, int trstride, int tcstride,
+		  int nrows, int ncols )
+{
+    int s = sign( src[inhcoords] );
+    REAL *rlast = src + nrows * rstride;
+    REAL *trptr = dest;
+    for( REAL *rptr=src; rptr != rlast; rptr+=rstride, trptr+=trstride ) {
+	REAL *clast = rptr + ncols * cstride;
+	REAL *tcptr = trptr;
+	for( REAL *cptr = rptr; cptr != clast; cptr+=cstride, tcptr+=tcstride ) {
+	    REAL *coordlast = cptr + inhcoords;
+	    if( sign( *coordlast ) != s ) return 0;
+	    REAL *tcoord = tcptr;
+	    for( REAL *coord = cptr; coord != coordlast; coord++, tcoord++ ) {
+		*tcoord = *coord / *coordlast;
+	    }
+	}
+    }
+    return 1;
+}
+
+/*--------------------------------------------------------------------------
+ * project - project a set of homogeneous coordinates into inhomogeneous ones
+ *--------------------------------------------------------------------------
+ */
+int
+Mapdesc::project( REAL *src, int stride, REAL *dest, int tstride, int ncols )
+{
+    int s = sign( src[inhcoords] );
+
+    REAL *clast = src + ncols * stride;
+    for( REAL *cptr = src, *tcptr = dest; cptr != clast; cptr+=stride, tcptr+=tstride ) {
+	REAL *coordlast = cptr + inhcoords;
+	if( sign( *coordlast ) != s ) return 0;
+	for( REAL *coord = cptr, *tcoord = tcptr; coord != coordlast; coord++, tcoord++ ) 
+	    *tcoord = *coord / *coordlast;
+    }
+
+    return 1;
+}
+
+int
+Mapdesc::bboxTooBig( 
+    REAL *p, 
+    int	 rstride,
+    int	 cstride,
+    int	 nrows,
+    int	 ncols,
+    REAL bb[2][MAXCOORDS] )
+{
+    REAL bbpts[MAXORDER][MAXORDER][MAXCOORDS];
+    const int trstride = sizeof(bbpts[0]) / sizeof(REAL);
+    const int tcstride = sizeof(bbpts[0][0]) / sizeof(REAL); 
+
+    // points have been transformed, therefore they are homogeneous
+    // project points
+    int val = project( p, rstride, cstride, 
+	     &bbpts[0][0][0], trstride, tcstride, nrows, ncols );
+    if( val == 0 ) return -1;
+
+    // compute bounding box
+    bbox( bb, &bbpts[0][0][0], trstride, tcstride, nrows, ncols );
+
+    // find out if bounding box can't fit in unit cube
+    if( bbox_subdividing == N_BBOXROUND ) {
+	for( int k=0; k != inhcoords; k++ )
+	    if( ceilf(bb[1][k]) - floorf(bb[0][k]) > bboxsize[k] ) return 1;
+    } else {
+	for( int k=0; k != inhcoords; k++ )
+	    if( bb[1][k] - bb[0][k] > bboxsize[k] ) return 1;
+    }
+    return 0;  
+}
+
+void
+Mapdesc::bbox( 
+    REAL bb[2][MAXCOORDS], 
+    REAL *p, 
+    int	 rstride,
+    int	 cstride,
+    int	 nrows,
+    int	 ncols )
+{
+    int k;
+    for( k=0; k != inhcoords; k++ )
+	 bb[0][k] = bb[1][k] = p[k];
+
+    for( int i=0; i != nrows; i++ ) 
+	for( int j=0; j != ncols; j++ ) 
+	    for( k=0; k != inhcoords; k++ ) {
+		REAL x = p[i*rstride + j*cstride + k];
+		if(  x < bb[0][k] ) bb[0][k] = x;
+		else if( x > bb[1][k] ) bb[1][k] = x;
+	    }
+}
+
+/*--------------------------------------------------------------------------
+ * calcVelocityRational - calculate upper bound on first partial derivative 
+ *	of a homogeneous set of points and bounds on each row of points.
+ *--------------------------------------------------------------------------
+ */
+REAL
+Mapdesc::calcVelocityRational( REAL *p, int stride, int ncols )
+{
+    REAL tmp[MAXORDER][MAXCOORDS];
+
+    assert( ncols <= MAXORDER );
+
+    const int tstride = sizeof(tmp[0]) / sizeof(REAL); 
+
+    if( project( p, stride, &tmp[0][0], tstride, ncols ) ) {
+	return calcPartialVelocity( &tmp[0][0], tstride, ncols, 1, 1.0 );
+    } else { /* XXX */
+	return calcPartialVelocity( &tmp[0][0], tstride, ncols, 1, 1.0 );
+    }
+}
+
+/*--------------------------------------------------------------------------
+ * calcVelocityNonrational - calculate upper bound on  first partial 
+ *	derivative of a inhomogeneous set of points.
+ *--------------------------------------------------------------------------
+ */
+REAL
+Mapdesc::calcVelocityNonrational( REAL *pts, int stride, int ncols )
+{
+    return calcPartialVelocity( pts, stride, ncols, 1, 1.0 );
+}
+
+int
+Mapdesc::isProperty( long property )
+{
+    switch ( property ) {
+	case N_PIXEL_TOLERANCE:
+	case N_ERROR_TOLERANCE:
+	case N_CULLING:
+	case N_BBOX_SUBDIVIDING:
+	case N_S_STEPS:
+	case N_T_STEPS:
+        case N_SAMPLINGMETHOD:
+        case N_CLAMPFACTOR:
+        case N_MINSAVINGS:
+	    return 1;
+	default:
+	    return 0;
+    }
+}
+
+REAL
+Mapdesc::getProperty( long property )
+{
+    switch ( property ) {
+	case N_PIXEL_TOLERANCE:
+	    return pixel_tolerance;
+	case N_ERROR_TOLERANCE:
+	    return error_tolerance;
+	case N_CULLING:
+	    return culling_method;
+	case N_BBOX_SUBDIVIDING:
+	    return bbox_subdividing;
+	case N_S_STEPS:
+	    return s_steps;
+	case N_T_STEPS:
+	    return t_steps;
+        case N_SAMPLINGMETHOD:
+	    return sampling_method;
+        case N_CLAMPFACTOR:
+	    return clampfactor;
+        case N_MINSAVINGS:
+	    return minsavings;
+	default:
+	    abort();
+	    return -1; //not necessary, needed to shut up compiler
+    }
+}
+
+void
+Mapdesc::setProperty( long property, REAL value )
+{
+
+    switch ( property ) {
+	case N_PIXEL_TOLERANCE:
+	    pixel_tolerance = value;
+	    break;
+	case N_ERROR_TOLERANCE:
+	    error_tolerance = value;
+	    break;
+	case N_CULLING:
+	    culling_method = value;
+	    break;
+	case N_BBOX_SUBDIVIDING:
+	    if( value <= 0.0 ) value = N_NOBBOXSUBDIVISION;
+	    bbox_subdividing = value;
+	    break;
+	case N_S_STEPS:
+	    if( value < 0.0 ) value = 0.0;
+	    s_steps = value;
+	    maxrate = ( value < 0.0 ) ? 0.0 : value;
+	    maxsrate = ( value < 0.0 ) ? 0.0 : value;
+	    break;
+	case N_T_STEPS:
+	    if( value < 0.0 ) value = 0.0;
+	    t_steps = value;
+	    maxtrate = ( value < 0.0 ) ? 0.0 : value;
+	    break;
+	case N_SAMPLINGMETHOD:
+	    sampling_method = value;
+	    break;
+	case N_CLAMPFACTOR:
+	    if( value <= 0.0 ) value = N_NOCLAMPING;
+	    clampfactor = value;
+	    break;
+	case N_MINSAVINGS:
+	    if( value <= 0.0 ) value = N_NOSAVINGSSUBDIVISION;
+	    minsavings = value;
+	    break;
+	default:
+	    abort();
+	    break;
+    }
+}
+