#define RCSID "$Id: BF_Node_3.c,v 1.11 2006/02/26 00:42:53 geuzaine Exp $"
/*
* Copyright (C) 1997-2006 P. Dular, C. Geuzaine
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2 of the License, or
* (at your option) any later version.
*
* This program 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 General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307
* USA.
*
* Please report all bugs and problems to <getdp@geuz.org>.
*/
#include "GetDP.h"
#include "BF_Function.h"
#define WrongElementType(A,B) Msg(GERROR, "Basis function A cannot be associated with B !")
/* ------------------------------------------------------------------------ */
/* B F _ N o d e _ 3 */
/* ------------------------------------------------------------------------ */
/* ------- */
/* Edges */
/* ------- */
#define WrongNumEntity Msg(GERROR, "Wrong Edge number in 'BF_Node_3E'")
void BF_Node_3E (struct Element * Element, int NumEntity,
double u, double v, double w, double *s ) {
GetDP_Begin("BF_Node_3E");
switch (Element->Type) {
case LINE :
switch(NumEntity) {
case 1 : *s = 0.25 * (1.-u) * (1.+u) * (-u) ; break ;
default : WrongNumEntity ;
}
break ;
case TRIANGLE :
switch(NumEntity) {
case 1 : *s = (1.-u-v) * u * (1.-2*u-v) ; break ;
case 2 : *s = (1.-u-v) * v * (1.-u-2*v) ; break ;
case 3 : *s = u * v * (u-v) ; break ;
default : WrongNumEntity ;
}
break ;
case QUADRANGLE :
switch(NumEntity) {
default : Msg(GERROR, "BF_Node_3E not ready for QUADRANGLE");
}
break ;
case TETRAHEDRON :
switch(NumEntity) {
case 1 : *s = (1.-u-v-w) * u * (1.-2*u-v-w) ; break ;
case 2 : *s = (1.-u-v-w) * v * (1.-u-2*v-w) ; break ;
case 3 : *s = (1.-u-v-w) * w * (1.-u-v-2*w) ; break ;
case 4 : *s = u * v * (u-v) ; break ;
case 5 : *s = u * w * (u-w) ; break ;
case 6 : *s = v * w * (v-w) ; break ;
default : WrongNumEntity ;
}
break ;
case HEXAHEDRON :
switch(NumEntity) {
default : Msg(GERROR, "BF_Node_3E not ready for HEXAHEDRON");
}
break ;
case PRISM :
switch(NumEntity) {
default : Msg(GERROR, "BF_Node_3E not ready for PRISM");
}
break ;
case PYRAMID :
switch(NumEntity) {
default : Msg(GERROR, "BF_Node_3E not ready for PYRAMID");
}
break ;
default :
Msg(GERROR, "Unkown type of Element in BF_Node_3E");
break ;
}
if (Element->GeoElement->NumEdges[NumEntity-1] < 0)
*s = -*s ;
GetDP_End ;
}
#undef WrongNumEntity
/* -------- */
/* Facets */
/* -------- */
#define WrongNumEntity Msg(GERROR, "Wrong Face number in 'BF_Node_3F'")
void BF_Node_3F (struct Element * Element, int NumEntity,
double u, double v, double w, double *s ) {
GetDP_Begin("BF_Node_3F");
switch (Element->Type) {
case LINE :
WrongNumEntity ;
break;
case TRIANGLE :
switch(NumEntity) {
case 1 : *s = (1.-u-v) * u * v ; break ;
default : WrongNumEntity ;
}
break ;
case QUADRANGLE :
switch(NumEntity) {
default : Msg(GERROR, "BF_Node_3F not ready for QUADRANGLE");
}
break ;
case TETRAHEDRON :
switch(NumEntity) {
case 1 : *s = (1.-u-v-w) * u * w ; break ;
case 2 : *s = (1.-u-v-w) * v * u ; break ;
case 3 : *s = (1.-u-v-w) * w * v ; break ;
case 4 : *s = u * v * w ; break ;
default : WrongNumEntity ;
}
break ;
case HEXAHEDRON :
switch(NumEntity) {
default : Msg(GERROR, "BF_Node_3F not ready for HEXAHEDRON");
}
break ;
case PRISM :
switch(NumEntity) {
default : Msg(GERROR, "BF_Node_3F not ready for PRISM");
}
break ;
default :
Msg(GERROR, "Unkown Element Type in BF_Node_3F");
break ;
}
GetDP_End ;
}
#undef WrongNumEntity
/* -------- */
/* Volume */
/* -------- */
void BF_Node_3V (struct Element * Element, int NumEntity,
double u, double v, double w, double *s ) {
GetDP_Begin("BF_Node_3V");
switch (Element->Type) {
case LINE :
WrongElementType(BF_Node_3V, LINE); break;
case TRIANGLE :
WrongElementType(BF_Node_3V, TRIANGLE); break;
case QUADRANGLE :
WrongElementType(BF_Node_3V, QUADRANGLE); break;
case TETRAHEDRON :
WrongElementType(BF_Node_3V, TETRAHEDRON); break;
case HEXAHEDRON :
switch(NumEntity) {
default : Msg(GERROR, "BF_Node_3V not ready for HEXAHEDRON");
}
break ;
case PRISM :
switch(NumEntity) {
default : Msg(GERROR, "BF_Node_3V not ready for PRISM");
}
break ;
default :
Msg(GERROR, "Unkown type of Element in BF_Node_3V");
break ;
}
GetDP_End ;
}
/* ------------------------------------------------------------------------ */
/* B F _ G r a d N o d e _ 3 */
/* ------------------------------------------------------------------------ */
/* ------- */
/* Edges */
/* ------- */
#define WrongNumEntity Msg(GERROR, "Wrong Edge number in 'BF_GradNode_3E'")
void BF_GradNode_3E (struct Element * Element, int NumEntity,
double u, double v, double w, double s[] ) {
GetDP_Begin("BF_GradNode_3E");
switch (Element->Type) {
case LINE :
switch(NumEntity) {
case 1 : s[0] = -0.25 + 0.75 * u * u ; s[1] = 0. ; s[2] = 0. ; break ;
default : WrongNumEntity ;
}
break ;
case TRIANGLE :
switch(NumEntity) {
case 1 : s[0] = 1.0-6.0*u-2.0*v+6.0*u*u+6.0*u*v+v*v ;
s[1] = -2.0*u+3.0*u*u+2.0*u*v ;
s[2] = 0. ;
break ;
case 2 : s[0] = -2.0*v+2.0*u*v+3.0*v*v ;
s[1] = 1.0-2.0*u-6.0*v+u*u+6.0*u*v+6.0*v*v ;
s[2] = 0. ;
break ;
case 3 : s[0] = 2.0*u*v-v*v ;
s[1] = u*u-2.0*u*v ;
s[2] = 0. ;
break ;
default : WrongNumEntity ;
}
break ;
case QUADRANGLE :
switch(NumEntity) {
default : Msg(GERROR, "BF_GradNode_3E not ready for QUADRANGLE");
}
break ;
case TETRAHEDRON :
switch(NumEntity) {
case 1 : s[0] = 1.0-6.0*u-2.0*v-2.0*w+6.0*u*u+6.0*u*v+6.0*u*w+v*v+2.0*v*w+w*w ;
s[1] = -2.0*u+3.0*u*u+2.0*u*v+2.0*u*w ;
s[2] = -2.0*u+3.0*u*u+2.0*u*v+2.0*u*w ;
break ;
case 2 : s[0] = -2.0*v+2.0*u*v+3.0*v*v+2.0*v*w ;
s[1] = 1.0-2.0*u-6.0*v-2.0*w+u*u+6.0*u*v+2.0*u*w+6.0*v*v+6.0*v*w+w*w ;
s[2] = -2.0*v+2.0*u*v+3.0*v*v+2.0*v*w ;
break ;
case 3 : s[0] = -2.0*w+2.0*u*w+2.0*v*w+3.0*w*w ;
s[1] = -2.0*w+2.0*u*w+2.0*v*w+3.0*w*w ;
s[2] = 1.0-2.0*u-2.0*v-6.0*w+u*u+2.0*u*v+6.0*u*w+v*v+6.0*v*w+6.0*w*w ;
break ;
case 4 : s[0] = 2.0*u*v-v*v ;
s[1] = u*u-2.0*u*v ;
s[2] = 0.0 ;
break ;
case 5 : s[0] = 2.0*u*w-w*w ;
s[1] = 0.0 ;
s[2] = u*u-2.0*u*w ;
break ;
case 6 : s[0] = 0.0 ;
s[1] = 2.0*v*w-w*w ;
s[2] = v*v-2.0*v*w ;
break ;
default : WrongNumEntity ;
}
break ;
case HEXAHEDRON :
switch(NumEntity) {
default : Msg(GERROR, "BF_GradNode_3E not ready for HEXAHEDRON");
}
break ;
case PRISM :
switch(NumEntity) {
default : Msg(GERROR, "BF_GradNode_3E not ready for PRISM");
}
break ;
default :
Msg(GERROR, "Unkown type of Element in BF_GradNode_3E");
break ;
}
if (Element->GeoElement->NumEdges[NumEntity-1] < 0) {
s[0] = - s[0] ; s[1] = - s[1] ; s[2] = - s[2] ;
}
GetDP_End ;
}
#undef WrongNumEntity
/* -------- */
/* Facets */
/* -------- */
#define WrongNumEntity Msg(GERROR, "Wrong Face number in 'BF_GradNode_3F'")
void BF_GradNode_3F (struct Element * Element, int NumEntity,
double u, double v, double w, double s[] ) {
GetDP_Begin("BF_GradNode_3F");
switch (Element->Type) {
case LINE :
WrongElementType(Node_3F, LINE);
break ;
case TRIANGLE :
switch(NumEntity) {
case 1 : s[0] = v-2.0*u*v-v*v ; s[1] = u-u*u-2.0*u*v ; s[2] = 0. ; break ;
default : WrongNumEntity ;
}
break ;
case QUADRANGLE :
switch(NumEntity) {
default : Msg(GERROR, "BF_GradNode_3F not ready for QUADRANGLE");
}
break ;
case TETRAHEDRON :
switch(NumEntity) {
case 1 : s[0] = w-2.0*u*w-v*w-w*w ; s[1] = -u*w ; s[2] = u-u*u-u*v-2.0*u*w ; break ;
case 2 : s[0] = v-2.0*u*v-v*v-v*w ; s[1] = u-u*u-2.0*u*v-u*w ; s[2] = -u*v ; break ;
case 3 : s[0] = -v*w ; s[1] = w-u*w-2.0*v*w-w*w ; s[2] = v-u*v-v*v-2.0*v*w ; break ;
case 4 : s[0] = v*w ; s[1] = u*w ; s[2] = u*v ; break ;
default : WrongNumEntity ;
}
break ;
case HEXAHEDRON :
switch(NumEntity) {
default : Msg(GERROR, "BF_GradNode_3F not ready for HEXAHEDRON");
}
break ;
case PRISM :
switch(NumEntity) {
default : Msg(GERROR, "BF_GradNode_3F not ready for PRISM");
}
break ;
default :
Msg(GERROR, "Unkown type of Element in BF_GradNode_3F");
break ;
}
GetDP_End ;
}
#undef WrongNumEntity
/* -------- */
/* Volume */
/* -------- */
void BF_GradNode_3V (struct Element * Element, int NumEntity,
double u, double v, double w, double s[] ) {
GetDP_Begin("BF_GradNode_3V");
switch (Element->Type) {
case LINE :
WrongElementType(BF_Node_3V, LINE); break;
case TRIANGLE :
WrongElementType(BF_Node_3V, TRIANGLE); break;
case QUADRANGLE :
WrongElementType(BF_Node_3V, QUADRANGLE); break;
case TETRAHEDRON :
WrongElementType(BF_Node_3V, TETRAHEDRON); break;
case HEXAHEDRON :
switch(NumEntity) {
default : Msg(GERROR, "BF_GradNode_3V not ready for HEXAHEDRON");
}
break ;
case PRISM :
switch(NumEntity) {
default : Msg(GERROR, "BF_GradNode_3V not ready for PRISM");
}
break ;
default :
Msg(GERROR, "Unkown type of Element in BF_GradNode_3V");
break ;
}
GetDP_End ;
}
#undef WrongElementType
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