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/*
* Copyright (C) 1998, 2000-2007, 2010, 2011, 2012, 2013 SINTEF ICT,
* Applied Mathematics, Norway.
*
* Contact information: E-mail: tor.dokken@sintef.no
* SINTEF ICT, Department of Applied Mathematics,
* P.O. Box 124 Blindern,
* 0314 Oslo, Norway.
*
* This file is part of SISL.
*
* SISL is free software: you can redistribute it and/or modify
* it under the terms of the GNU Affero General Public License as
* published by the Free Software Foundation, either version 3 of the
* License, or (at your option) any later version.
*
* SISL is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU Affero General Public License for more details.
*
* You should have received a copy of the GNU Affero General Public
* License along with SISL. If not, see
* <http://www.gnu.org/licenses/>.
*
* In accordance with Section 7(b) of the GNU Affero General Public
* License, a covered work must retain the producer line in every data
* file that is created or manipulated using SISL.
*
* Other Usage
* You can be released from the requirements of the license by purchasing
* a commercial license. Buying such a license is mandatory as soon as you
* develop commercial activities involving the SISL library without
* disclosing the source code of your own applications.
*
* This file may be used in accordance with the terms contained in a
* written agreement between you and SINTEF ICT.
*/
#include "sisl-copyright.h"
/*
*
* $Id: s1896.c,v 1.3 2001-03-19 15:58:55 afr Exp $
*
*/
#define S1896
#include "sislP.h"
#if defined(SISLNEEDPROTOTYPES)
void
s1896 (SISLSurf * osurf, double earray[], int dimp1, int narr, int ders1[],
int dert1[], int ders2[], int dert2[], SISLSurf ** nsurf, int *jstat)
#else
void
s1896 (osurf, earray, dimp1, narr, ders1, dert1, ders2, dert2, nsurf, jstat)
SISLSurf *osurf;
double earray[];
int dimp1;
int narr;
int ders1[];
int dert1[];
int ders2[];
int dert2[];
SISLSurf **nsurf;
int *jstat;
#endif
/*
*********************************************************************
*
*********************************************************************
*
* PURPOSE : For each of the planes in the matrix we make the function
*
* iders1 idert1 iders2 idert2
* /D \ /D \ /D \ /D \
* F(s,t) = -- * -- P(s,t) earray -- * -- P(s,t)
* \DS/ \DT/ \DS/ \DT/
*
* Here:
* iders1=ders1[i], iders2=ders2[i]
* idert1=dert1[i], idert2=dert2[i]
*
* If earray is the identity matrix then we make the dor product
* of (iders1,idert1)-derivateive and (iders2,idert2)-derivative
* of the B-spline "surface" P(s,t) described by osurf.
*
* INPUT : osurf - The original B-pline surface.
* earray - The array to be used.
* dimp1 - The dimension idim+1. This is due to that the matrix
* earray is used for calculation with homogenous
* coordinates.
* narr - Number of parallel arrays.
* ders1 - The derivatives to be applied in the first parameter
* direction in the first occurence of the surface.
* dert1 - The derivatives to be applied in the second parameter
* direction in the first occurence of the surface.
* ders2 - The derivatives to be applied in the first parameter
* direction in the second occurence of the surface.
* dert2 - The derivatives to be applied in the second parameter
* direction in the second occurence of the surface.
*
* OUTPUT : nsurf - The new B-spline surface.
* jstat - Status variable
* > 0 : warning
* = 0 : ok
* < 0 : error
*
* METHOD : The product of the (iders1,idert1)-derivative of a B-spline
* curve, a matrix and the (iders2,idert2)-derivative of the same
* B-spline curve is a function of order 2*ik1-ders1-ders2-1 in
* the first parameter direction and 2*ik2-dert1-dert2-1 in the
* second parameter direction, if the order of the B-spline
* surface is ik1,ik2.
* ds1 = min( ders1[i] ), i=1,...,narr
* dt1 = min( dert1[i] ), i=1,...,narr
* ds2 = min( ders2[i] ), i=1,...,narr
* dt2 = min( dert2[i] ), i=1,...,narr
*
* The subroutine have the following steps.
* 1. Calculate knot vectors of B-spline functions.
* 2. Calculate parameter value pairs to be used for calculation
* of points on the B-spline function.
* 3. Interpolate the calculated values on the B-spline function.
*
* Note: The parameter values of the B-spline function values must
* be calculated to ensure reproduction of the B-spline function.
*
* REFERENCES : Fortran version:
* Tor Dokken, SI, 1983-05
*
* CALLS : s1894,s1890,s1421,s1891,s6err.
*
* WRITTEN BY : Trond Vidar Stensby, SI, 1991-06
* REVISED BY : Johannes Kaasa, SI, May 92 (Changed the order of the indexes
* in the multiplication of earray, val1 and val2. In addition I
* changed the sequence in the second assignment of ds2 and dt2.
* I also had to put on paranthesises in the expression for pos1
* and pos2).
* REVISED BY : Michael Floater, SI, June 92. The rational stuff
* was completely messed up. But it works now.
* Dimension of output curve was wrong -- now narr.
* Revised by : Paal Fugelli, SINTEF, Oslo, Norway, August 94. Fixed over-running
* of array indices (found with Purify).
*
*********************************************************************
*/
{
int nik1; /* Order of new surface in
first parameter direction. */
int nin1; /* Order of new surface in
second parameter direction. */
int nik2; /* Number of vertices in first
parameter direction. */
int nin2; /* Number of vertices in second parameter direction. */
int lfs; /* Interval indicator. (left side) */
int lft; /* Interval indicator. (left side) */
int tpos; /* Used to index array tau. */
int epos; /* Used to index earray. */
int pos1; /* Position of values of first derivatives. */
int pos2; /* Position of values of second derivatives. */
int ds1; /* Order of derivatives. */
int dt1;
int ds2;
int dt2;
int mds1; /* Maximum order of derivatives. */
int mdt1;
int mds2;
int mdt2;
int nder1; /* Total order of derivatives.
(Both directions) */
int nder2;
int dim; /* Dimension of tau. */
int maxder; /* Largest total order of derivatives.
(Both functions.) */
int count1; /* Loop control variables. */
int kj, ki;
int kl, kr, kp;
double parval[2];
double sum; /* Used for calculation of P(s,t). */
double *nknots1 = SISL_NULL; /* New knots in first parameter direction. */
double *nknots2 = SISL_NULL; /* New knots in second parameter direction. */
double *coef1 = SISL_NULL; /* New coeficients */
double *coef2 = SISL_NULL; /* New coeficients */
double *par1 = SISL_NULL; /* Parameter values in first direction. */
double *par2 = SISL_NULL; /* Parameter values in second direction. */
int *der1 = SISL_NULL; /* Derivative indicators in first direction. */
int *der2 = SISL_NULL; /* Derivative indicators in second direction.*/
double *deriv = SISL_NULL; /* Derivatives returned by s1421. */
double *normal = SISL_NULL; /* Normal returned by s1421. (not used) */
double *val1 = SISL_NULL; /* Values extracted from deriv. */
double *val2 = SISL_NULL; /* Values extracted from deriv. */
double *tau = SISL_NULL; /* Interpolation points. */
int kstat = 0;
int kpos = 0;
*jstat = 0;
/* Test if legal input. */
if (osurf->ik1 <= 1 || osurf->in1 < osurf->ik1)
goto err112;
if (osurf->ik2 <= 1 || osurf->in2 < osurf->ik2)
goto err112;
/* Find minimal and maximal order of derivatives */
ds1 = mds1 = ders1[0];
dt1 = mdt1 = dert1[0];
ds2 = mds2 = ders2[0];
dt2 = mdt2 = dert2[0];
for (count1 = 1; count1 < narr; count1++)
{
if (ds1 > ders1[count1]) ds1 = ders1[count1];
if (dt1 > dert1[count1]) dt1 = dert1[count1];
if (ds2 > ders2[count1]) ds2 = ders2[count1];
if (dt2 > dert2[count1]) dt2 = dert2[count1];
if (mds1 < ders1[count1]) mds1 = ders1[count1];
if (mdt1 < dert1[count1]) mdt1 = dert1[count1];
if (mds2 < ders2[count1]) mds2 = ders2[count1];
if (mdt2 < dert2[count1]) mdt2 = dert2[count1];
}
/* Produce a knot vector in the first parameter direction. */
s1894 (osurf->et1, osurf->ik1, osurf->in1, ds1, ds2, earray, dimp1, narr,
&nknots1, &nik1, &nin1, &kstat);
if (kstat < 0) goto error;
/* Produce a knot vector in second parameter direction. */
s1894 (osurf->et2, osurf->ik2, osurf->in2, dt1, dt2, earray, dimp1, narr,
&nknots2, &nik2, &nin2, &kstat);
if (kstat < 0) goto error;
/* Produce parameter values and derivative indicators in first
* parameter direction. */
s1890 (nknots1, nik1, nin1, &par1, &der1, &kstat);
if (kstat < 0) goto error;
/* Produce parameter values and derivative indicators in second
* parameter direction. */
s1890 (nknots2, nik2, nin2, &par2, &der2, &kstat);
if (kstat < 0) goto error;
/* Allocate memory for point calculation. */
val1 = newarray (dimp1, DOUBLE);
if (val1 == SISL_NULL) goto err101;
val2 = newarray (dimp1, DOUBLE);
if (val2 == SISL_NULL) goto err101;
tau = newarray (narr * nin1 * nin2, DOUBLE);
if (tau == SISL_NULL) goto err101;
maxder = max (max (mds1, mds2), max (mdt1, mdt2));
deriv = newarray (osurf->idim * (maxder + 1) * (maxder + 2) / 2, DOUBLE);
if (deriv == SISL_NULL) goto err101;
normal = newarray (osurf->idim * (maxder + 1) * (maxder + 2) / 2, DOUBLE);
if (normal == SISL_NULL) goto err101;
/* Calculate interpolation points. */
lfs = 0;
lft = 0;
tpos = 0;
for (kj = 0; kj < nin2; kj++)
{
parval[1] = par2[kj];
for (ki = 0; ki < nin1; ki++)
{
parval[0] = par1[ki];
epos = 0;
for (kl = 0; kl < narr; kl++)
{
ds1 = ders1[kl];
dt1 = dert1[kl];
ds2 = ders2[kl];
dt2 = dert2[kl];
/* ds2 = dert2[kl];
dt2 = ders2[kl]; */
maxder = max (max (ds1, ds2), max (dt1, dt2));
s1421 (osurf, maxder, parval, &lfs, &lft, deriv, normal, &kstat);
if (kstat < 0) goto error;
nder1 = ds1 + dt1;
nder2 = ds2 + dt2;
pos1 = osurf->idim * (nder1 * (nder1 + 1) / 2 + dt1);
pos2 = osurf->idim * (nder2 * (nder2 + 1) / 2 + dt2);
for (count1 = 0; count1 < osurf->idim; count1++)
{
val1[count1] = deriv[pos1++];
val2[count1] = deriv[pos2++];
}
if (osurf->idim < dimp1)
{
val1[osurf->idim] = (double) 1.0;
val2[osurf->idim] = (double) 1.0;
if (ds1 > 0 || dt1 > 0)
val1[osurf->idim] = (double) 0.0;
if (ds2 > 0 || dt2 > 0)
val2[osurf->idim] = (double) 0.0;
}
/* Can now calculate a interpolation point. */
sum = (double) 0.0;
for (kr = 0; kr < dimp1; kr++, epos += dimp1)
{
for (kp = 0; kp < dimp1; kp++)
sum += earray[epos + kp] * val1[kr] * val2[kp];
/* sum += earray[epos + kp] * val1[kp] * val2[kr]; */
}
tau[tpos++] = sum;
}
}
}
/* Calculate new surface description. */
/* Interpolate in second parameter direction. */
dim = narr * nin1;
s1891 (par2, tau, dim, nin2, 1, der2, TRUE, nknots2, &coef1, &nin2,
nik2, 0, 0, &kstat);
if (kstat < 0) goto error;
/* Interpolate in first parameter direction. */
s1891 (par1, coef1, narr, nin1, nin2, der1, TRUE, nknots1, &coef2,
&nin1, nik1, 0, 0, &kstat);
if (kstat < 0) goto error;
/* OK */
*nsurf = newSurf (nin1, nin2, nik1, nik2, nknots1, nknots2,
coef2, osurf->ikind, narr, 2);
if (*nsurf == SISL_NULL) goto err171;
goto out;
/* Not enough memory. */
err101:
*jstat = -101;
s6err ("s1896", *jstat, kpos);
goto out;
/* Could not create surface, */
err171:
*jstat = -171;
s6err ("s1896", *jstat, kpos);
goto out;
/* Error in description of B-spline. */
err112:
*jstat = -112;
s6err ("s1896", *jstat, kpos);
goto out;
/* Error in lower level routine. */
error:
*jstat = kstat;
s6err ("s1896", *jstat, kpos);
goto out;
/* Free pointers. */
out:
if (coef1 != SISL_NULL) freearray (coef1);
if (val1 != SISL_NULL) freearray (val1);
if (val2 != SISL_NULL) freearray (val2);
if (par1 != SISL_NULL) freearray (par1);
if (par2 != SISL_NULL) freearray (par2);
if (der1 != SISL_NULL) freearray (der1);
if (der2 != SISL_NULL) freearray (der2);
if (normal != SISL_NULL) freearray (normal);
if (deriv != SISL_NULL) freearray (deriv);
if (tau != SISL_NULL) freearray (tau);
return;
}
|
