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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: s1023.c,v 1.3 2001-03-19 15:58:41 afr Exp $
*
*/
#define S1023
#include "sislP.h"
#if defined(SISLNEEDPROTOTYPES)
void
s1023(double center[], double axis[], double equator[], int latitude,
int longitude, SISLSurf **sphere, int *stat)
#else
void s1023(center, axis, equator, latitude, longitude, sphere, stat)
double center[];
double axis[];
double equator[];
int latitude;
int longitude;
SISLSurf **sphere;
int *stat;
#endif
/*
*********************************************************************
*
* PURPOSE : To describe octants of a sphere as a NURBS. This can also
* be used to describe the complete sphere.
*
*
* INPUT : center - Center point of the sphere
* axis - Axis of the sphere (towards the north pole)
* equator - Vector from center to start point on the equator
* latitude - Flag indicating number of octants in north/south
* direction:
* = 1 : Octants in the northern hemisphere
* = 2 : Octants in both hemispheres
* longitude - Flag indicating number of octants along the
* equator:
* = 1 : Octants in 1. quadrant
* = 2 : Octants in 1. and 2. quadrant
* = 3 : Octants in 1., 2. and 3. quadrant
* = 4 : Octants in all quadrants
* This is counted counter-clockwise from equator
*
*
* OUTPUT :
* stat - status messages
* > 0 : warning
* = 0 : ok
* < 0 : error
* spher - Pointer to the sphere produced
*
* METHOD :
*
*
* REFERENCES :
*
*-
* CALLS :
*
* WRITTEN BY : Johannes Kaasa, SI, Oslo, Norway, Jan. 93
* Revised by : Paal Fugelli and Johannes Kaasa, SINTEF, Oslo, Norway, 08-94.
*
*********************************************************************
*/
{
int kstat; /* Status variable. */
int kpos=0; /* Position of error. */
int ki, kj, kl; /* Indexes in for loops. */
int in1; /* Number of vertices along the longitude. */
int in2; /* Number of vertices along the latitude. */
int ik1 = 3; /* Order along the longitude. */
int ik2 = 3; /* Order along the latitude. */
double *et1 = SISL_NULL; /* Knot vector along the longitude. */
double *et2 = SISL_NULL; /* Knot vector along the latitude. */
double *rcoef = SISL_NULL; /* Coefficients of the sphere. */
int kind = 2; /* Rational Bspline surface. */
double weight; /* Rational weight. */
double radius; /* Radius of the sphere. */
double norm; /* Length of vectors. */
double x_axis[3]; /* axis normalized with radius length. */
double z_axis[3]; /* Radius vector normal to x_axis and equator. */
double w1, w2; /* Rational weights in both directions. */
double x_comp; /* Component in local x direction. */
double y_comp; /* Component in local y direction. */
double z_comp; /* Component in local z direction. */
/* Do necessary initiation and allocation. */
*sphere = SISL_NULL;
weight = (double)1.0/sqrt(2.0);
in1 = 1 + 2*latitude;
in2 = 1 + 2*longitude;
radius = s6length(equator, 3, &kstat);
if (kstat < 0) goto error;
norm = s6length(axis, 3, &kstat);
if (kstat < 0) goto error;
for (ki = 0; ki < 3; ki++)
x_axis[ki] = radius*axis[ki]/norm;
s6crss(x_axis, equator, z_axis);
norm = s6length(z_axis, 3, &kstat);
if (kstat < 0) goto error;
for (ki = 0; ki < 3; ki++)
z_axis[ki] = radius*z_axis[ki]/norm;
if((et1 = newarray(in1 + ik1, DOUBLE)) == SISL_NULL) goto err101;
if((et2 = newarray(in2 + ik2, DOUBLE)) == SISL_NULL) goto err101;
if((rcoef = newarray(4*in1*in2, DOUBLE)) == SISL_NULL) goto err101;
/* Initiate the knot vectors. */
for (ki = 0; ki < ik1; ki++)
et1[ki] = (double)0.;
for (ki = 0; ki < latitude; ki++)
{
et1[ik1 + 2*ki] = (ki + 1)*PIHALF;
et1[ik1 + 2*ki + 1] = (ki + 1)*PIHALF;
}
et1[in1 + ik1 - 1] = latitude*PIHALF;
for (ki = 0; ki < ik2; ki++)
et2[ki] = (double)0.;
for (ki = 0; ki < longitude; ki++)
{
et2[ik2 + 2*ki] = (ki + 1)*PIHALF;
et2[ik2 + 2*ki + 1] = (ki + 1)*PIHALF;
}
et2[in2 + ik2 - 1] = longitude*PIHALF;
/* Initiate the coefficient vector. */
for (ki = 0; ki < in2; ki++)
{
if (ki == 1 || ki == 3 || ki == 5 || ki == 7)
w2 = weight;
else
w2 = (double)1.;
if (ki == 0 || ki == 1 || ki == 7 || ki == 8)
y_comp = (double)1.;
else if (ki == 3 || ki == 4 || ki == 5)
y_comp = - (double)1.;
else
y_comp = (double)0.;
if (ki == 1 || ki == 2 || ki == 3)
z_comp = (double)1.;
else if (ki == 5 || ki == 6 || ki == 7)
z_comp = - (double)1.;
else
z_comp = (double)0.;
for (kj = 0; kj < in1; kj++)
{
if (kj == 1 || kj == 3)
w1 = weight;
else
w1 = (double)1.;
if (kj == 0 || kj == 1)
x_comp = (double)1.;
else if (kj == 3 || kj == 4)
x_comp = - (double)1.;
else
x_comp = (double)0.;
w1 *= w2;
if (kj == 0 || kj == 4)
{
for (kl = 0; kl < 3; kl++)
rcoef[4*(ki*in1 + kj) + kl] = w1*(center[kl] + x_comp*x_axis[kl]);
}
else
{
for (kl = 0; kl < 3; kl++)
rcoef[4*(ki*in1 + kj) + kl] = w1*(center[kl] + x_comp*x_axis[kl]
+ y_comp*equator[kl] + z_comp*z_axis[kl]);
}
rcoef[4*(ki*in1 + kj) + 3] = w1;
}
}
(*sphere) = newSurf(in1, in2, ik1, ik2, et1, et2, rcoef, kind, 3, 1);
if ((*sphere) == SISL_NULL) goto err101;
if (et1 != SISL_NULL) freearray(et1);
if (et2 != SISL_NULL) freearray(et2);
if (rcoef != SISL_NULL) freearray(rcoef);
*stat = 0;
goto out;
/* Error in curve allocation. */
err101:
*stat = -101;
s6err("s1023",*stat,kpos);
goto out;
/* Error in lower level routine. */
error:
*stat = kstat;
s6err("s1023", *stat, kpos);
goto out;
out:
return;
}
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