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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.
+*/
+
+/*
+ * 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;
+ }
+}
+