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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.
+*/
+
+/*
+ * mapdescv.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/mapdescv.cc,v 1.1 2001/03/17 00:25:41 brianp Exp $
+ */
+
+#include "glimports.h"
+#include "mystdio.h"
+#include "myassert.h"
+#include "mystring.h"
+#include "mymath.h"
+#include "nurbsconsts.h"
+#include "mapdesc.h"
+
+/*--------------------------------------------------------------------------
+ * calcPartialVelocity - calculate maximum magnitude of a given partial
+ * derivative
+ *--------------------------------------------------------------------------
+ */
+REAL
+Mapdesc::calcPartialVelocity (
+ REAL *p,
+ int stride,
+ int ncols,
+ int partial,
+ REAL range )
+{
+ REAL tmp[MAXORDER][MAXCOORDS];
+ REAL mag[MAXORDER];
+
+ assert( ncols <= MAXORDER );
+
+ int j, k, t;
+ // copy inhomogeneous control points into temporary array
+ for( j=0; j != ncols; j++ )
+ for( k=0; k != inhcoords; k++ )
+ tmp[j][k] = p[j*stride + k];
+
+ for( t=0; t != partial; t++ )
+ for( j=0; j != ncols-t-1; j++ )
+ for( k=0; k != inhcoords; k++ )
+ tmp[j][k] = tmp[j+1][k] - tmp[j][k];
+
+ // compute magnitude and store in mag array
+ for( j=0; j != ncols-partial; j++ ) {
+ mag[j] = 0.0;
+ for( k=0; k != inhcoords; k++ )
+ mag[j] += tmp[j][k] * tmp[j][k];
+ }
+
+ // compute scale factor
+ REAL fac = 1;
+ REAL invt = 1.0 / range;
+ for( t = ncols-1; t != ncols-1-partial; t-- )
+ fac *= t * invt;
+
+ // compute max magnitude of all entries in array
+ REAL max = 0.0;
+ for( j=0; j != ncols-partial; j++ )
+ if( mag[j] > max ) max = mag[j];
+ max = fac * ::sqrtf( (float) max );
+
+ return max;
+}
+
+/*--------------------------------------------------------------------------
+ * calcPartialVelocity - calculate maximum magnitude of a given partial
+ * derivative
+ *--------------------------------------------------------------------------
+ */
+REAL
+Mapdesc::calcPartialVelocity (
+ REAL *dist,
+ REAL *p,
+ int rstride,
+ int cstride,
+ int nrows,
+ int ncols,
+ int spartial,
+ int tpartial,
+ REAL srange,
+ REAL trange,
+ int side )
+{
+ REAL tmp[MAXORDER][MAXORDER][MAXCOORDS];
+ REAL mag[MAXORDER][MAXORDER];
+
+ assert( nrows <= MAXORDER );
+ assert( ncols <= MAXORDER );
+
+ REAL *tp = &tmp[0][0][0];
+ REAL *mp = &mag[0][0];
+ const int istride = sizeof( tmp[0]) / sizeof( tmp[0][0][0] );
+ const int jstride = sizeof( tmp[0][0]) / sizeof( tmp[0][0][0] );
+ const int kstride = sizeof( tmp[0][0][0]) / sizeof( tmp[0][0][0] );
+ const int mistride = sizeof( mag[0]) / sizeof( mag[0][0] );
+ const int mjstride = sizeof( mag[0][0]) / sizeof( mag[0][0] );
+ const int idist = nrows * istride;
+ const int jdist = ncols * jstride;
+ const int kdist = inhcoords * kstride;
+ const int id = idist - spartial * istride;
+ const int jd = jdist - tpartial * jstride;
+
+ {
+ // copy control points
+ REAL *ti = tp;
+ REAL *qi = p;
+ REAL *til = tp + idist;
+ for( ; ti != til; ) {
+ REAL *tj = ti;
+ REAL *qj = qi;
+ REAL *tjl = ti + jdist;
+ for( ; tj != tjl; ) {
+ for( int k=0; k != inhcoords; k++ ) {
+ tj[k] = qj[k];
+ }
+ tj += jstride;
+ qj += cstride;
+ }
+ ti += istride;
+ qi += rstride;
+ }
+ }
+
+ {
+ // compute (s)-partial derivative control points
+ REAL *til = tp + idist - istride;
+ const REAL *till = til - ( spartial * istride );
+ for( ; til != till; til -= istride )
+ for( REAL *ti = tp; ti != til; ti += istride )
+ for( REAL *tj = ti, *tjl = tj + jdist; tj != tjl; tj += jstride )
+ for( int k=0; k != inhcoords; k++ )
+ tj[k] = tj[k+istride] - tj[k];
+ }
+
+ {
+ // compute (s,t)-partial derivative control points
+ REAL *tjl = tp + jdist - jstride;
+ const REAL *tjll = tjl - ( tpartial * jstride );
+ for( ; tjl != tjll; tjl -= jstride )
+ for( REAL *tj = tp; tj != tjl; tj += jstride )
+ for( REAL *ti = tj, *til = ti + id; ti != til; ti += istride )
+ for( int k=0; k != inhcoords; k++ )
+ ti[k] = ti[k+jstride] - ti[k];
+
+ }
+
+ REAL max = 0.0;
+ {
+ // compute magnitude and store in mag array
+ memset( (void *) mp, 0, sizeof( mag ) );
+ for( REAL *ti = tp, *mi = mp, *til = tp + id; ti != til; ti += istride, mi += mistride )
+ for( REAL *tj = ti, *mj = mi, *tjl = ti + jd; tj != tjl; tj += jstride, mj += mjstride ) {
+ for( int k=0; k != inhcoords; k++ )
+ *mj += tj[k] * tj[k];
+ if( *mj > max ) max = *mj;
+ }
+
+ }
+
+ int i, j;
+
+ // compute scale factor
+ REAL fac = 1.0;
+ {
+ REAL invs = 1.0 / srange;
+ REAL invt = 1.0 / trange;
+ for( int s = nrows-1, slast = s-spartial; s != slast; s-- )
+ fac *= s * invs;
+ for( int t = ncols-1, tlast = t-tpartial; t != tlast; t-- )
+ fac *= t * invt;
+ }
+
+ if( side == 0 ) {
+ // compute max magnitude of first and last column
+ dist[0] = 0.0;
+ dist[1] = 0.0;
+ for( i=0; i != nrows-spartial; i++ ) {
+ j = 0;
+ if( mag[i][j] > dist[0] ) dist[0] = mag[i][j];
+
+ j = ncols-tpartial-1;
+ if( mag[i][j] > dist[1] ) dist[1] = mag[i][j];
+ }
+ dist[0] = fac * ::sqrtf( dist[0] );
+ dist[1] = fac * ::sqrtf( dist[1] );
+ } else if( side == 1 ) {
+ // compute max magnitude of first and last row
+ dist[0] = 0.0;
+ dist[1] = 0.0;
+ for( j=0; j != ncols-tpartial; j++ ) {
+ i = 0;
+ if( mag[i][j] > dist[0] ) dist[0] = mag[i][j];
+
+ i = nrows-spartial-1;
+ if( mag[i][j] > dist[1] ) dist[1] = mag[i][j];
+ }
+ dist[0] = fac * ::sqrtf( dist[0] );
+ dist[1] = fac * ::sqrtf( dist[1] );
+ }
+
+ max = fac * ::sqrtf( (float) max );
+
+ return max;
+}
+