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F_Misc.cpp 43.86 KiB
// GetDP - Copyright (C) 1997-2018 P. Dular and C. Geuzaine, University of Liege
//
// See the LICENSE.txt file for license information. Please report all
// bugs and problems to the public mailing list <getdp@onelab.info>.
#include <stdlib.h>
#include <string.h>
#include <math.h>
#include "GetDPConfig.h"
#include "ProData.h"
#include "ProDefine.h"
#include "ProParser.h"
#include "F.h"
#include "Message.h"
#include "Cal_Value.h"
#include "Cal_Quantity.h"
#include "OS.h"
extern struct CurrentData Current ;
void F_Printf(F_ARG)
{
Print_Value(A) ;
printf("\n") ;
}
void F_Rand(F_ARG)
{
int k;
if(A->Type != SCALAR)
Message::Error("Non scalar argument for function 'Rand");
V->Val[0] = A->Val[0] * (double)rand() / (double)RAND_MAX;
if (Current.NbrHar != 1){
V->Val[MAX_DIM] = 0. ;
for (k = 2 ; k < std::min(NBR_MAX_HARMONIC, Current.NbrHar) ; k += 2)
V->Val[MAX_DIM*k] = V->Val[MAX_DIM*(k+1)] = 0. ;
}
V->Type = SCALAR ;
}
void F_CompElementNum (F_ARG)
{
if(!Current.Element || !Current.ElementSource)
Message::Error("Uninitialized Element in 'F_CompElementNum'");
V->Type = SCALAR ;
V->Val[0] = (Current.Element->Num == Current.ElementSource->Num) ;
}
void F_ElementNum (F_ARG)
{
if(!Current.Element)
Message::Error("Uninitialized Element in 'F_ElementNum'");
V->Type = SCALAR ;
V->Val[0] = Current.Element->Num ;
}
void F_QuadraturePointIndex (F_ARG)
{
V->Type = SCALAR ;
V->Val[0] = Current.QuadraturePointIndex ;
}
void F_GetCpuTime (F_ARG)
{ double s = 0.;
long mem = 0;
GetResources(&s, &mem);
V->Type = SCALAR ;
V->Val[0] = s ;
}
void F_GetWallClockTime (F_ARG)
{
V->Type = SCALAR ;
V->Val[0] = Message::GetWallClockTime() ;
}
void F_GetMemory (F_ARG)
{
double s = 0.;
long mem = 0;
GetResources(&s, &mem);
double val = mem / 1024. / 1024.;
V->Type = SCALAR ;
V->Val[0] = val ;
}
void F_SetNumberRunTime (F_ARG)
{
double val = A->Val[0];
int type = A->Type;
for (int k = 0; k < Current.NbrHar; k++)
V->Val[MAX_DIM * k] = 0. ;
V->Type = SCALAR;
if(type != SCALAR){
Message::Error("Non scalar argument for function 'SetNumberRunTime'");
return;
}
if(!Fct->String){
Message::Error("Missing ONELAB variable name: use SetNumberRunTime[value]{\"name\"}");
return;
}
Message::SetOnelabNumber(Fct->String, val);
V->Val[0] = val ;
}
void F_GetNumberRunTime (F_ARG)
{
if(Fct->NbrArguments){
Cal_CopyValue(A, V);
}
else{
for (int k = 0; k < Current.NbrHar; k++)
V->Val[MAX_DIM * k] = 0. ;
V->Type = SCALAR;
}
if(!Fct->String){
Message::Error("Missing ONELAB variable name: use GetNumberRunTime[]{\"name\"}");
return;
}
if(Message::UseOnelab())
V->Val[0] = Message::GetOnelabNumber(Fct->String);
}
void F_SetVariable (F_ARG)
{
if(!Fct->String){
Message::Error("Missing runtime variable name: use SetVariable[...]{$name}");
return;
}
if(Fct->NbrArguments < 1){ Message::Error("Missing argument in SetVariable[...]{$name}");
return;
}
Cal_CopyValue(A, V);
char tmp[256];
strcpy(tmp, Fct->String);
for(int i = 1; i < Fct->NbrArguments; i++){
if((A+i)->Type != SCALAR){
Message::Error("Non-scalar argument in SetVariable");
return;
}
char tmp2[256];
sprintf(tmp2, "_%g", (A+i)->Val[0]);
strcat(tmp, tmp2);
}
Cal_StoreInVariable(V, tmp);
}
void F_SetCumulativeVariable (F_ARG)
{
if(Fct->NbrArguments < 1){
Message::Error("Missing argument in SetCumulativeVariable[...]{$name}");
return;
}
Cal_CopyValue(A, V);
char tmp[256];
strcpy(tmp, Fct->String);
for(int i = 1; i < Fct->NbrArguments; i++){
if((A+i)->Type != SCALAR){
Message::Error("Non-scalar argument in SetCumulativeVariable");
return;
}
char tmp2[256];
sprintf(tmp2, "_%g", (A+i)->Val[0]);
strcat(tmp, tmp2);
}
struct Value V_saved ;
Cal_GetValueSaved(&V_saved, tmp);
Cal_AddValue(V, &V_saved, V);
Cal_StoreInVariable(V, tmp);
}
void F_GetVariable (F_ARG)
{
if(!Fct->String){
Message::Error("Missing runtime variable name: use GetVariable[...]{$name}");
return;
}
char tmp[256];
strcpy(tmp, Fct->String);
for(int i = 0; i < Fct->NbrArguments; i++){
if((A+i)->Type != SCALAR){
Message::Error("Non-scalar argument in GetVariable");
return;
}
char tmp2[256];
sprintf(tmp2, "_%g", (A+i)->Val[0]);
strcat(tmp, tmp2);
}
Cal_GetValueSaved(V, tmp);}
void F_ValueFromTable (F_ARG)
{
if(!Fct->String){
Message::Error("Missing ElementTable or NodeTable name: use ValueFromTable[...]{name}");
return;
}
std::map<int, std::vector<double> > &table(GetDPNumbersMap[Fct->String]);
std::vector<double> &val(table[Current.NumEntity]);
if(val.size() == 1){
V->Val[0] = val[0];
V->Type = SCALAR ;
return;
}
Message::Debug("Unknown entity index %d in ValueFromTable",
Current.NumEntity);
for(int i = 0; i < Fct->NbrArguments; i++){
if(i != 0){
Message::Warning("Ignoring %d-th argument in ValueFromTable");
continue;
}
if((A+i)->Type != SCALAR){
Message::Error("Non-scalar default argument in ValueFromTable");
return;
}
Cal_CopyValue(A + i, V);
return;
}
Message::Warning("Missing table data or default value in ValueFromTable");
V->Val[0] = 0. ;
V->Type = SCALAR ;
}
void F_VirtualWork (F_ARG)
{
MATRIX3x3 Jac ;
double DetJac ;
double DetJac_dx[3], squF[6] ;
double s[3] = {0.,0.,0.};
if(!Current.Element)
Message::Error("Uninitialized Element in 'F_VirtualWork'");
Current.flagAssDiag = 1; /*+++prov*/
int numNode = Current.NumEntity;
int i = 0 ;
while (i < Current.Element->GeoElement->NbrNodes &&
Current.Element->GeoElement->NumNodes[i] != numNode) i++;
if (i < Current.Element->GeoElement->NbrNodes ) {
for(int j = 0; j < 3; j++) {
squF[j] = A->Val[j] * A->Val[j] ;
squF[j+3] = A->Val[j] * A->Val[(j<2)?j+1:0] ;
}
//Get_BFGeoElement(Current.Element, Current.u, Current.v, Current.w);
DetJac = Current.Element->DetJac ;
Jac = Current.Element->Jac ;
DetJac_dx[0] =
Current.Element->dndu[i][0] * ( Jac.c22 * Jac.c33 - Jac.c23 * Jac.c32 )
- Current.Element->dndu[i][1] * ( Jac.c12 * Jac.c33 - Jac.c13 * Jac.c32 )
+ Current.Element->dndu[i][2] * ( Jac.c12 * Jac.c23 - Jac.c22 * Jac.c13 );
DetJac_dx[1] =
- Current.Element->dndu[i][0] * ( Jac.c21 * Jac.c33 - Jac.c23 * Jac.c31 )
+ Current.Element->dndu[i][1] * ( Jac.c11 * Jac.c33 - Jac.c13 * Jac.c31 )
- Current.Element->dndu[i][2] * ( Jac.c11 * Jac.c23 - Jac.c13 * Jac.c21 );
DetJac_dx[2] =
Current.Element->dndu[i][0] * ( Jac.c21 * Jac.c32 - Jac.c22 * Jac.c31 )
- Current.Element->dndu[i][1] * ( Jac.c11 * Jac.c32 - Jac.c12 * Jac.c31 )
+ Current.Element->dndu[i][2] * ( Jac.c11 * Jac.c22 - Jac.c12 * Jac.c21 );
if(DetJac != 0){
s[0] = ( DetJac_dx[0] * ( - squF[0] + squF[1] + squF[2] )
- 2 * DetJac_dx[1] * squF[3]
- 2 * DetJac_dx[2] * squF[5])/DetJac ;
s[1] = ( DetJac_dx[1] * ( squF[0] - squF[1] + squF[2] )
- 2 * DetJac_dx[0] * squF[3]
- 2 * DetJac_dx[2] * squF[4])/DetJac ;
s[2] = ( DetJac_dx[2] * ( squF[0] + squF[1] - squF[2] )
- 2 * DetJac_dx[0] * squF[5]
- 2 * DetJac_dx[1] * squF[4])/DetJac ;
}
else {
Message::Warning("Zero determinant in 'F_VirtualWork'") ;
}
}
V->Type = VECTOR ;
V->Val[0] = s[0] ;
V->Val[1] = s[1] ;
V->Val[2] = s[2] ;
}
void F_NodeForceDensity (F_ARG)
{
MATRIX3x3 Jac ;
double DetJac ;
double Grad_n[3] ;
double s11 = 0., s12 = 0., s13 = 0. ;
double s21 = 0., s22 = 0., s23 = 0. ;
double s31 = 0., s32 = 0., s33 = 0. ;
double s[3] = {0.,0.,0.};
if(!Current.Element)
Message::Error("Uninitialized Element in 'F_NodeForceDensity'");
Current.flagAssDiag = 1; /*+++prov*/
int numNode = Current.NumEntity;
int i = 0 ;
while (i < Current.Element->GeoElement->NbrNodes &&
Current.Element->GeoElement->NumNodes[i] != numNode) i++;
if (i < Current.Element->GeoElement->NbrNodes ) {
if(A->Type == TENSOR_SYM){
s11 = A->Val[0] ;
s12 = A->Val[1] ;
s13 = A->Val[2] ;
s21 = s12;
s22 = A->Val[3] ;
s23 = A->Val[4] ;
s31 = s13;
s32 = s23;
s33 = A->Val[5] ;
}
else if(A->Type == TENSOR){
s11 = A->Val[0] ; s12 = A->Val[1] ;
s13 = A->Val[2] ;
s21 = A->Val[3] ;
s22 = A->Val[4] ;
s23 = A->Val[5] ;
s31 = A->Val[6] ;
s32 = A->Val[7] ;
s33 = A->Val[8] ;
}
else{
Message::Error("Unknown tensor type in 'F_NodeForceDensity'") ;
}
DetJac = Current.Element->DetJac ;
Jac = Current.Element->Jac ;
Grad_n[0] =
Current.Element->dndu[i][0] * ( Jac.c22 * Jac.c33 - Jac.c23 * Jac.c32 )
- Current.Element->dndu[i][1] * ( Jac.c12 * Jac.c33 - Jac.c13 * Jac.c32 )
+ Current.Element->dndu[i][2] * ( Jac.c12 * Jac.c23 - Jac.c22 * Jac.c13 );
Grad_n[1] =
- Current.Element->dndu[i][0] * ( Jac.c21 * Jac.c33 - Jac.c23 * Jac.c31 )
+ Current.Element->dndu[i][1] * ( Jac.c11 * Jac.c33 - Jac.c13 * Jac.c31 )
- Current.Element->dndu[i][2] * ( Jac.c11 * Jac.c23 - Jac.c13 * Jac.c21 );
Grad_n[2] =
Current.Element->dndu[i][0] * ( Jac.c21 * Jac.c32 - Jac.c22 * Jac.c31 )
- Current.Element->dndu[i][1] * ( Jac.c11 * Jac.c32 - Jac.c12 * Jac.c31 )
+ Current.Element->dndu[i][2] * ( Jac.c11 * Jac.c22 - Jac.c12 * Jac.c21 );
if(DetJac != 0){
s[0] = ( Grad_n[0] * s11 + Grad_n[1] * s12 + Grad_n[2] * s13 ) / DetJac ;
s[1] = ( Grad_n[0] * s21 + Grad_n[1] * s22 + Grad_n[2] * s23 ) / DetJac ;
s[2] = ( Grad_n[0] * s31 + Grad_n[1] * s32 + Grad_n[2] * s33 ) / DetJac ;
}
else {
Message::Warning("Zero determinant in 'F_NodeForceDensity'") ;
}
}
V->Type = VECTOR ;
V->Val[0] = s[0] ;
V->Val[1] = s[1] ;
V->Val[2] = s[2] ;
}
// Blex added 25/04/14 update 06/06/14
void F_Felec (F_ARG)
{
MATRIX3x3 Jac ;
double DetJac ;
double DetJac_dx[3], squF[6] ;
double dsdx[3] ; //Derivative of the base functions with respect to x, y and z
double s[3] = {0.,0.,0.};
if(!Current.Element)
Message::Error("Uninitialized Element in 'F_Felec'");
Current.flagAssDiag = 1; /*+++prov*/
int numNode = Current.NumEntity;
int i = 0 ;
while (i < Current.Element->GeoElement->NbrNodes &&
Current.Element->GeoElement->NumNodes[i] != numNode) i++;
if (i < Current.Element->GeoElement->NbrNodes ) {
for(int j = 0; j < 3; j++) { squF[j] = A->Val[j] * A->Val[j] ;
squF[j+3] = A->Val[j] * A->Val[(j<2)?j+1:0] ;
}
//Get_BFGeoElement(Current.Element, Current.u, Current.v, Current.w);
DetJac = Current.Element->DetJac ;
Jac = Current.Element->Jac ;
DetJac_dx[0] =
Current.Element->dndu[i][0] * ( Jac.c22 * Jac.c33 - Jac.c23 * Jac.c32 )
- Current.Element->dndu[i][1] * ( Jac.c12 * Jac.c33 - Jac.c13 * Jac.c32 )
+ Current.Element->dndu[i][2] * ( Jac.c12 * Jac.c23 - Jac.c22 * Jac.c13 );
DetJac_dx[1] =
- Current.Element->dndu[i][0] * ( Jac.c21 * Jac.c33 - Jac.c23 * Jac.c31 )
+ Current.Element->dndu[i][1] * ( Jac.c11 * Jac.c33 - Jac.c13 * Jac.c31 )
- Current.Element->dndu[i][2] * ( Jac.c11 * Jac.c23 - Jac.c13 * Jac.c21 );
DetJac_dx[2] =
Current.Element->dndu[i][0] * ( Jac.c21 * Jac.c32 - Jac.c22 * Jac.c31 )
- Current.Element->dndu[i][1] * ( Jac.c11 * Jac.c32 - Jac.c12 * Jac.c31 )
+ Current.Element->dndu[i][2] * ( Jac.c11 * Jac.c22 - Jac.c12 * Jac.c21 );
if(DetJac != 0){
dsdx[0] = DetJac_dx[0]/DetJac ;
dsdx[1] = DetJac_dx[1]/DetJac ;
dsdx[2] = DetJac_dx[2]/DetJac ;
s[0] = - 0.5 * ( dsdx[0] * ( squF[0] - squF[1] - squF[2] )
+ 2 * dsdx[1] * squF[3]
+ 2 * dsdx[2] * squF[5]) ;
s[1] = - 0.5 * ( dsdx[1] * ( - squF[0] + squF[1] - squF[2] )
+ 2 * dsdx[0] * squF[3]
+ 2 * dsdx[2] * squF[4]) ;
s[2] = - 0.5 * ( dsdx[2] * ( - squF[0] - squF[1] + squF[2] )
+ 2 * dsdx[0] * squF[5]
+ 2 * dsdx[1] * squF[4]) ;
}
else {
Message::Warning("Zero determinant in 'F_Felec'") ;
}
}
V->Type = VECTOR ;
V->Val[0] = s[0] ;
V->Val[1] = s[1] ;
V->Val[2] = s[2] ;
}
void F_dFxdux (F_ARG)
{
MATRIX3x3 Jac ;
double DetJac ;
double DetJac_dx[3], squF[6] ;
double dsdx[3] ; //Derivative of the base functions with respect to x, y and z
double s[3] = {0.,0.,0.};
if(!Current.Element)
Message::Error("Uninitialized Element in 'F_dFxdux'");
int numNode = Current.NumEntity;
int i = 0 ;
while (i < Current.Element->GeoElement->NbrNodes &&
Current.Element->GeoElement->NumNodes[i] != numNode) i++;
if (i < Current.Element->GeoElement->NbrNodes ) {
for(int j = 0; j < 3; j++) {
squF[j] = A->Val[j] * A->Val[j] ;
squF[j+3] = A->Val[j] * A->Val[(j<2)?j+1:0] ;
}
//Get_BFGeoElement(Current.Element, Current.u, Current.v, Current.w);
DetJac = Current.Element->DetJac ;
Jac = Current.Element->Jac ;
DetJac_dx[0] =
Current.Element->dndu[i][0] * ( Jac.c22 * Jac.c33 - Jac.c23 * Jac.c32 )
- Current.Element->dndu[i][1] * ( Jac.c12 * Jac.c33 - Jac.c13 * Jac.c32 )
+ Current.Element->dndu[i][2] * ( Jac.c12 * Jac.c23 - Jac.c22 * Jac.c13 );
DetJac_dx[1] =
- Current.Element->dndu[i][0] * ( Jac.c21 * Jac.c33 - Jac.c23 * Jac.c31 )
+ Current.Element->dndu[i][1] * ( Jac.c11 * Jac.c33 - Jac.c13 * Jac.c31 )
- Current.Element->dndu[i][2] * ( Jac.c11 * Jac.c23 - Jac.c13 * Jac.c21 );
DetJac_dx[2] =
Current.Element->dndu[i][0] * ( Jac.c21 * Jac.c32 - Jac.c22 * Jac.c31 )
- Current.Element->dndu[i][1] * ( Jac.c11 * Jac.c32 - Jac.c12 * Jac.c31 )
+ Current.Element->dndu[i][2] * ( Jac.c11 * Jac.c22 - Jac.c12 * Jac.c21 );
if(DetJac != 0){
dsdx[0] = DetJac_dx[0]/DetJac ;
dsdx[1] = DetJac_dx[1]/DetJac ;
dsdx[2] = DetJac_dx[2]/DetJac ;
s[0] = - squF[0] * dsdx[0] ;
s[1] = - squF[0] * dsdx[1] ;
s[2] = - squF[0] * dsdx[2] ;
}
else {
Message::Warning("Zero determinant in 'F_dFxdux'") ;
}
}
V->Type = VECTOR ;
V->Val[0] = s[0] ;
V->Val[1] = s[1] ;
V->Val[2] = s[2] ;
}
void F_dFydux (F_ARG)
{
MATRIX3x3 Jac ;
double DetJac ;
double DetJac_dx[3], squF[6] ;
double dsdx[3] ; //Derivative of the base functions with respect to x, y and z
double s[3] = {0.,0.,0.};
if(!Current.Element)
Message::Error("Uninitialized Element in 'F_dFydux'");
int numNode = Current.NumEntity;
int i = 0 ;
while (i < Current.Element->GeoElement->NbrNodes &&
Current.Element->GeoElement->NumNodes[i] != numNode) i++;
if (i < Current.Element->GeoElement->NbrNodes ) {
for(int j = 0; j < 3; j++) {
squF[j] = A->Val[j] * A->Val[j] ; squF[j+3] = A->Val[j] * A->Val[(j<2)?j+1:0] ;
}
//Get_BFGeoElement(Current.Element, Current.u, Current.v, Current.w);
DetJac = Current.Element->DetJac ;
Jac = Current.Element->Jac ;
DetJac_dx[0] =
Current.Element->dndu[i][0] * ( Jac.c22 * Jac.c33 - Jac.c23 * Jac.c32 )
- Current.Element->dndu[i][1] * ( Jac.c12 * Jac.c33 - Jac.c13 * Jac.c32 )
+ Current.Element->dndu[i][2] * ( Jac.c12 * Jac.c23 - Jac.c22 * Jac.c13 );
DetJac_dx[1] =
- Current.Element->dndu[i][0] * ( Jac.c21 * Jac.c33 - Jac.c23 * Jac.c31 )
+ Current.Element->dndu[i][1] * ( Jac.c11 * Jac.c33 - Jac.c13 * Jac.c31 )
- Current.Element->dndu[i][2] * ( Jac.c11 * Jac.c23 - Jac.c13 * Jac.c21 );
DetJac_dx[2] =
Current.Element->dndu[i][0] * ( Jac.c21 * Jac.c32 - Jac.c22 * Jac.c31 )
- Current.Element->dndu[i][1] * ( Jac.c11 * Jac.c32 - Jac.c12 * Jac.c31 )
+ Current.Element->dndu[i][2] * ( Jac.c11 * Jac.c22 - Jac.c12 * Jac.c21 );
if(DetJac != 0){
dsdx[0] = DetJac_dx[0]/DetJac ;
dsdx[1] = DetJac_dx[1]/DetJac ;
dsdx[2] = DetJac_dx[2]/DetJac ;
s[0] = - 0.5 * (2 * squF[3] * dsdx[0] + (- squF[0] - squF[1] + squF[2]) * dsdx[1] - 2 * squF[4] * dsdx[2]) ;
s[1] = - 0.5 * ((squF[0] + squF[1] - squF[2]) * dsdx[0] + 2 * squF[3] * dsdx[1] + 2 * squF[5] * dsdx[2]) ;
s[2] = - 0.5 * (2 * squF[4] * dsdx[0] - 2 * squF[5] * dsdx[1] + 2 * squF[3] * dsdx[2]) ;
}
else {
Message::Warning("Zero determinant in 'F_dFydux'") ;
}
}
V->Type = VECTOR ;
V->Val[0] = s[0] ;
V->Val[1] = s[1] ;
V->Val[2] = s[2] ;
}
void F_dFzdux (F_ARG)
{
MATRIX3x3 Jac ;
double DetJac ;
double DetJac_dx[3], squF[6] ;
double dsdx[3] ; //Derivative of the base functions with respect to x, y and z
double s[3] = {0.,0.,0.};
if(!Current.Element)
Message::Error("Uninitialized Element in 'F_dFzdux'");
int numNode = Current.NumEntity;
int i = 0 ;
while (i < Current.Element->GeoElement->NbrNodes &&
Current.Element->GeoElement->NumNodes[i] != numNode) i++;
if (i < Current.Element->GeoElement->NbrNodes ) {
for(int j = 0; j < 3; j++) {
squF[j] = A->Val[j] * A->Val[j] ;
squF[j+3] = A->Val[j] * A->Val[(j<2)?j+1:0] ;
}
//Get_BFGeoElement(Current.Element, Current.u, Current.v, Current.w);
DetJac = Current.Element->DetJac ;
Jac = Current.Element->Jac ;
DetJac_dx[0] =
Current.Element->dndu[i][0] * ( Jac.c22 * Jac.c33 - Jac.c23 * Jac.c32 )
- Current.Element->dndu[i][1] * ( Jac.c12 * Jac.c33 - Jac.c13 * Jac.c32 )
+ Current.Element->dndu[i][2] * ( Jac.c12 * Jac.c23 - Jac.c22 * Jac.c13 );
DetJac_dx[1] =
- Current.Element->dndu[i][0] * ( Jac.c21 * Jac.c33 - Jac.c23 * Jac.c31 )
+ Current.Element->dndu[i][1] * ( Jac.c11 * Jac.c33 - Jac.c13 * Jac.c31 )
- Current.Element->dndu[i][2] * ( Jac.c11 * Jac.c23 - Jac.c13 * Jac.c21 );
DetJac_dx[2] =
Current.Element->dndu[i][0] * ( Jac.c21 * Jac.c32 - Jac.c22 * Jac.c31 )
- Current.Element->dndu[i][1] * ( Jac.c11 * Jac.c32 - Jac.c12 * Jac.c31 )
+ Current.Element->dndu[i][2] * ( Jac.c11 * Jac.c22 - Jac.c12 * Jac.c21 );
if(DetJac != 0){
dsdx[0] = DetJac_dx[0]/DetJac ;
dsdx[1] = DetJac_dx[1]/DetJac ;
dsdx[2] = DetJac_dx[2]/DetJac ;
s[0] = - 0.5 * (2 * squF[5] * dsdx[0] - 2 * squF[4] * dsdx[1] + (-squF[0] + squF[1] - squF[2]) * dsdx[2]) ;
s[1] = - 0.5 * (2 * squF[4] * dsdx[0] + 2 * squF[5] * dsdx[1] - 2 * squF[3] * dsdx[2]) ;
s[2] = - 0.5 * ((squF[0] - squF[1] + squF[2]) * dsdx[0] + 2 * squF[3] * dsdx[1] + 2 * squF[5] * dsdx[2]) ;
}
else {
Message::Warning("Zero determinant in 'F_dFzdux'") ;
}
}
V->Type = VECTOR ;
V->Val[0] = s[0] ;
V->Val[1] = s[1] ;
V->Val[2] = s[2] ;
}
void F_dFxduy (F_ARG)
{
MATRIX3x3 Jac ;
double DetJac ;
double DetJac_dx[3], squF[6] ;
double dsdx[3] ; //Derivative of the base functions with respect to x, y and z
double s[3] = {0.,0.,0.};
if(!Current.Element)
Message::Error("Uninitialized Element in 'F_dFxduy'");
int numNode = Current.NumEntity;
int i = 0 ;
while (i < Current.Element->GeoElement->NbrNodes &&
Current.Element->GeoElement->NumNodes[i] != numNode) i++;
if (i < Current.Element->GeoElement->NbrNodes ) {
for(int j = 0; j < 3; j++) {
squF[j] = A->Val[j] * A->Val[j] ;
squF[j+3] = A->Val[j] * A->Val[(j<2)?j+1:0] ;
}
//Get_BFGeoElement(Current.Element, Current.u, Current.v, Current.w);
DetJac = Current.Element->DetJac ;
Jac = Current.Element->Jac ;
DetJac_dx[0] =
Current.Element->dndu[i][0] * ( Jac.c22 * Jac.c33 - Jac.c23 * Jac.c32 )
- Current.Element->dndu[i][1] * ( Jac.c12 * Jac.c33 - Jac.c13 * Jac.c32 )
+ Current.Element->dndu[i][2] * ( Jac.c12 * Jac.c23 - Jac.c22 * Jac.c13 );
DetJac_dx[1] =
- Current.Element->dndu[i][0] * ( Jac.c21 * Jac.c33 - Jac.c23 * Jac.c31 )
+ Current.Element->dndu[i][1] * ( Jac.c11 * Jac.c33 - Jac.c13 * Jac.c31 )
- Current.Element->dndu[i][2] * ( Jac.c11 * Jac.c23 - Jac.c13 * Jac.c21 );
DetJac_dx[2] =
Current.Element->dndu[i][0] * ( Jac.c21 * Jac.c32 - Jac.c22 * Jac.c31 )
- Current.Element->dndu[i][1] * ( Jac.c11 * Jac.c32 - Jac.c12 * Jac.c31 )
+ Current.Element->dndu[i][2] * ( Jac.c11 * Jac.c22 - Jac.c12 * Jac.c21 );
if(DetJac != 0){
dsdx[0] = DetJac_dx[0]/DetJac ;
dsdx[1] = DetJac_dx[1]/DetJac ;
dsdx[2] = DetJac_dx[2]/DetJac ;
s[0] = - 0.5 * (2 * squF[3] * dsdx[0] + (squF[0] + squF[1] - squF[2]) * dsdx[1] + 2 * squF[4] * dsdx[2]) ;
s[1] = - 0.5 * ((-squF[0] - squF[1] + squF[2]) * dsdx[0] + 2 * squF[3] * dsdx[1] - 2 * squF[5] * dsdx[2]) ;
s[2] = - 0.5 * (- 2 * squF[4] * dsdx[0] + 2 * squF[5] * dsdx[1] + 2 * squF[3] * dsdx[2]) ;
}
else {
Message::Warning("Zero determinant in 'F_dFxduy'") ;
}
}
V->Type = VECTOR ;
V->Val[0] = s[0] ;
V->Val[1] = s[1] ;
V->Val[2] = s[2] ;
}
void F_dFyduy (F_ARG)
{
MATRIX3x3 Jac ;
double DetJac ;
double DetJac_dx[3], squF[6] ;
double dsdx[3] ; //Derivative of the base functions with respect to x, y and z
double s[3] = {0.,0.,0.};
if(!Current.Element)
Message::Error("Uninitialized Element in 'F_dFyduy'");
int numNode = Current.NumEntity;
int i = 0 ;
while (i < Current.Element->GeoElement->NbrNodes &&
Current.Element->GeoElement->NumNodes[i] != numNode) i++;
if (i < Current.Element->GeoElement->NbrNodes ) {
for(int j = 0; j < 3; j++) {
squF[j] = A->Val[j] * A->Val[j] ;
squF[j+3] = A->Val[j] * A->Val[(j<2)?j+1:0] ;
}
//Get_BFGeoElement(Current.Element, Current.u, Current.v, Current.w);
DetJac = Current.Element->DetJac ;
Jac = Current.Element->Jac ;
DetJac_dx[0] =
Current.Element->dndu[i][0] * ( Jac.c22 * Jac.c33 - Jac.c23 * Jac.c32 ) - Current.Element->dndu[i][1] * ( Jac.c12 * Jac.c33 - Jac.c13 * Jac.c32 )
+ Current.Element->dndu[i][2] * ( Jac.c12 * Jac.c23 - Jac.c22 * Jac.c13 );
DetJac_dx[1] =
- Current.Element->dndu[i][0] * ( Jac.c21 * Jac.c33 - Jac.c23 * Jac.c31 )
+ Current.Element->dndu[i][1] * ( Jac.c11 * Jac.c33 - Jac.c13 * Jac.c31 )
- Current.Element->dndu[i][2] * ( Jac.c11 * Jac.c23 - Jac.c13 * Jac.c21 );
DetJac_dx[2] =
Current.Element->dndu[i][0] * ( Jac.c21 * Jac.c32 - Jac.c22 * Jac.c31 )
- Current.Element->dndu[i][1] * ( Jac.c11 * Jac.c32 - Jac.c12 * Jac.c31 )
+ Current.Element->dndu[i][2] * ( Jac.c11 * Jac.c22 - Jac.c12 * Jac.c21 );
if(DetJac != 0){
dsdx[0] = DetJac_dx[0]/DetJac ;
dsdx[1] = DetJac_dx[1]/DetJac ;
dsdx[2] = DetJac_dx[2]/DetJac ;
s[0] = - squF[1] * dsdx[0] ;
s[1] = - squF[1] * dsdx[1] ;
s[2] = - squF[1] * dsdx[2] ;
}
else {
Message::Warning("Zero determinant in 'F_dFyduy'") ;
}
}
V->Type = VECTOR ;
V->Val[0] = s[0] ;
V->Val[1] = s[1] ;
V->Val[2] = s[2] ;
}
void F_dFzduy (F_ARG)
{
MATRIX3x3 Jac ;
double DetJac ;
double DetJac_dx[3], squF[6] ;
double dsdx[3] ; //Derivative of the base functions with respect to x, y and z
double s[3] = {0.,0.,0.};
if(!Current.Element)
Message::Error("Uninitialized Element in 'F_dFzduy'");
int numNode = Current.NumEntity;
int i = 0 ;
while (i < Current.Element->GeoElement->NbrNodes &&
Current.Element->GeoElement->NumNodes[i] != numNode) i++;
if (i < Current.Element->GeoElement->NbrNodes ) {
for(int j = 0; j < 3; j++) {
squF[j] = A->Val[j] * A->Val[j] ;
squF[j+3] = A->Val[j] * A->Val[(j<2)?j+1:0] ;
}
//Get_BFGeoElement(Current.Element, Current.u, Current.v, Current.w);
DetJac = Current.Element->DetJac ;
Jac = Current.Element->Jac ;
DetJac_dx[0] =
Current.Element->dndu[i][0] * ( Jac.c22 * Jac.c33 - Jac.c23 * Jac.c32 )
- Current.Element->dndu[i][1] * ( Jac.c12 * Jac.c33 - Jac.c13 * Jac.c32 )
+ Current.Element->dndu[i][2] * ( Jac.c12 * Jac.c23 - Jac.c22 * Jac.c13 );
DetJac_dx[1] =
- Current.Element->dndu[i][0] * ( Jac.c21 * Jac.c33 - Jac.c23 * Jac.c31 )
+ Current.Element->dndu[i][1] * ( Jac.c11 * Jac.c33 - Jac.c13 * Jac.c31 )
- Current.Element->dndu[i][2] * ( Jac.c11 * Jac.c23 - Jac.c13 * Jac.c21 );
DetJac_dx[2] =
Current.Element->dndu[i][0] * ( Jac.c21 * Jac.c32 - Jac.c22 * Jac.c31 )
- Current.Element->dndu[i][1] * ( Jac.c11 * Jac.c32 - Jac.c12 * Jac.c31 )
+ Current.Element->dndu[i][2] * ( Jac.c11 * Jac.c22 - Jac.c12 * Jac.c21 );
if(DetJac != 0){
dsdx[0] = DetJac_dx[0]/DetJac ;
dsdx[1] = DetJac_dx[1]/DetJac ;
dsdx[2] = DetJac_dx[2]/DetJac ;
s[0] = - 0.5 * (2 * squF[4] * dsdx[0] + 2 * squF[5] * dsdx[1] - 2 * squF[3] * dsdx[2]) ;
s[1] = - 0.5 * (-2 * squF[5] * dsdx[0] + 2 * squF[4] * dsdx[1] + (squF[0] - squF[1] - squF[2]) * dsdx[2]) ;
s[2] = - 0.5 * (2 * squF[3] * dsdx[0] + (-squF[0] + squF[1] + squF[2]) * dsdx[1] + 2 * squF[4] * dsdx[2]) ;
}
else {
Message::Warning("Zero determinant in 'F_dFzduy'") ;
}
}
V->Type = VECTOR ;
V->Val[0] = s[0] ;
V->Val[1] = s[1] ;
V->Val[2] = s[2] ;
}
void F_dFxduz (F_ARG)
{
MATRIX3x3 Jac ;
double DetJac ;
double DetJac_dx[3], squF[6] ;
double dsdx[3] ; //Derivative of the base functions with respect to x, y and z
double s[3] = {0.,0.,0.};
if(!Current.Element)
Message::Error("Uninitialized Element in 'F_dFxduz'");
int numNode = Current.NumEntity;
int i = 0 ;
while (i < Current.Element->GeoElement->NbrNodes &&
Current.Element->GeoElement->NumNodes[i] != numNode) i++;
if (i < Current.Element->GeoElement->NbrNodes ) {
for(int j = 0; j < 3; j++) {
squF[j] = A->Val[j] * A->Val[j] ;
squF[j+3] = A->Val[j] * A->Val[(j<2)?j+1:0] ;
}
//Get_BFGeoElement(Current.Element, Current.u, Current.v, Current.w);
DetJac = Current.Element->DetJac ;
Jac = Current.Element->Jac ;
DetJac_dx[0] =
Current.Element->dndu[i][0] * ( Jac.c22 * Jac.c33 - Jac.c23 * Jac.c32 )
- Current.Element->dndu[i][1] * ( Jac.c12 * Jac.c33 - Jac.c13 * Jac.c32 )
+ Current.Element->dndu[i][2] * ( Jac.c12 * Jac.c23 - Jac.c22 * Jac.c13 );
DetJac_dx[1] =
- Current.Element->dndu[i][0] * ( Jac.c21 * Jac.c33 - Jac.c23 * Jac.c31 )
+ Current.Element->dndu[i][1] * ( Jac.c11 * Jac.c33 - Jac.c13 * Jac.c31 ) - Current.Element->dndu[i][2] * ( Jac.c11 * Jac.c23 - Jac.c13 * Jac.c21 );
DetJac_dx[2] =
Current.Element->dndu[i][0] * ( Jac.c21 * Jac.c32 - Jac.c22 * Jac.c31 )
- Current.Element->dndu[i][1] * ( Jac.c11 * Jac.c32 - Jac.c12 * Jac.c31 )
+ Current.Element->dndu[i][2] * ( Jac.c11 * Jac.c22 - Jac.c12 * Jac.c21 );
if(DetJac != 0){
dsdx[0] = DetJac_dx[0]/DetJac ;
dsdx[1] = DetJac_dx[1]/DetJac ;
dsdx[2] = DetJac_dx[2]/DetJac ;
s[0] = - 0.5 * (2 * squF[5] * dsdx[0] + 2 * squF[4] * dsdx[1] + (squF[0] - squF[1] + squF[2]) * dsdx[2]) ;
s[1] = - 0.5 * (-2 * squF[4] * dsdx[0] + 2 * squF[5] * dsdx[1] + 2 * squF[3] * dsdx[2]) ;
s[2] = - 0.5 * ((-squF[0] + squF[1] - squF[2]) * dsdx[0] - 2 * squF[3] * dsdx[1] + 2 * squF[5] * dsdx[2]) ;
}
else {
Message::Warning("Zero determinant in 'F_dFxduz'") ;
}
}
V->Type = VECTOR ;
V->Val[0] = s[0] ;
V->Val[1] = s[1] ;
V->Val[2] = s[2] ;
}
void F_dFyduz (F_ARG)
{
MATRIX3x3 Jac ;
double DetJac ;
double DetJac_dx[3], squF[6] ;
double dsdx[3] ; //Derivative of the base functions with respect to x, y and z
double s[3] = {0.,0.,0.};
if(!Current.Element)
Message::Error("Uninitialized Element in 'F_dFyduz'");
int numNode = Current.NumEntity;
int i = 0 ;
while (i < Current.Element->GeoElement->NbrNodes &&
Current.Element->GeoElement->NumNodes[i] != numNode) i++;
if (i < Current.Element->GeoElement->NbrNodes ) {
for(int j = 0; j < 3; j++) {
squF[j] = A->Val[j] * A->Val[j] ;
squF[j+3] = A->Val[j] * A->Val[(j<2)?j+1:0] ;
}
//Get_BFGeoElement(Current.Element, Current.u, Current.v, Current.w);
DetJac = Current.Element->DetJac ;
Jac = Current.Element->Jac ;
DetJac_dx[0] =
Current.Element->dndu[i][0] * ( Jac.c22 * Jac.c33 - Jac.c23 * Jac.c32 )
- Current.Element->dndu[i][1] * ( Jac.c12 * Jac.c33 - Jac.c13 * Jac.c32 )
+ Current.Element->dndu[i][2] * ( Jac.c12 * Jac.c23 - Jac.c22 * Jac.c13 );
DetJac_dx[1] =
- Current.Element->dndu[i][0] * ( Jac.c21 * Jac.c33 - Jac.c23 * Jac.c31 )
+ Current.Element->dndu[i][1] * ( Jac.c11 * Jac.c33 - Jac.c13 * Jac.c31 )
- Current.Element->dndu[i][2] * ( Jac.c11 * Jac.c23 - Jac.c13 * Jac.c21 );
DetJac_dx[2] = Current.Element->dndu[i][0] * ( Jac.c21 * Jac.c32 - Jac.c22 * Jac.c31 )
- Current.Element->dndu[i][1] * ( Jac.c11 * Jac.c32 - Jac.c12 * Jac.c31 )
+ Current.Element->dndu[i][2] * ( Jac.c11 * Jac.c22 - Jac.c12 * Jac.c21 );
if(DetJac != 0){
dsdx[0] = DetJac_dx[0]/DetJac ;
dsdx[1] = DetJac_dx[1]/DetJac ;
dsdx[2] = DetJac_dx[2]/DetJac ;
s[0] = - 0.5 * (2 * squF[4] * dsdx[0] - 2 * squF[5] * dsdx[1] + 2 * squF[3] * dsdx[2]) ;
s[1] = - 0.5 * (2 * squF[5] * dsdx[0] + 2 * squF[4] * dsdx[1] + (-squF[0] + squF[1] + squF[2]) * dsdx[2]) ;
s[2] = - 0.5 * (-2 * squF[3] * dsdx[0] + (squF[0] - squF[1] - squF[2]) * dsdx[1] + 2 * squF[4] * dsdx[2]) ;
}
else {
Message::Warning("Zero determinant in 'F_dFyduz'") ;
}
}
V->Type = VECTOR ;
V->Val[0] = s[0] ;
V->Val[1] = s[1] ;
V->Val[2] = s[2] ;
}
void F_dFzduz (F_ARG)
{
MATRIX3x3 Jac ;
double DetJac ;
double DetJac_dx[3], squF[6] ;
double dsdx[3] ; //Derivative of the base functions with respect to x, y and z
double s[3] = {0.,0.,0.};
if(!Current.Element)
Message::Error("Uninitialized Element in 'F_dFzduz'");
int numNode = Current.NumEntity;
int i = 0 ;
while (i < Current.Element->GeoElement->NbrNodes &&
Current.Element->GeoElement->NumNodes[i] != numNode) i++;
if (i < Current.Element->GeoElement->NbrNodes ) {
for(int j = 0; j < 3; j++) {
squF[j] = A->Val[j] * A->Val[j] ;
squF[j+3] = A->Val[j] * A->Val[(j<2)?j+1:0] ;
}
//Get_BFGeoElement(Current.Element, Current.u, Current.v, Current.w);
DetJac = Current.Element->DetJac ;
Jac = Current.Element->Jac ;
DetJac_dx[0] =
Current.Element->dndu[i][0] * ( Jac.c22 * Jac.c33 - Jac.c23 * Jac.c32 )
- Current.Element->dndu[i][1] * ( Jac.c12 * Jac.c33 - Jac.c13 * Jac.c32 )
+ Current.Element->dndu[i][2] * ( Jac.c12 * Jac.c23 - Jac.c22 * Jac.c13 );
DetJac_dx[1] =
- Current.Element->dndu[i][0] * ( Jac.c21 * Jac.c33 - Jac.c23 * Jac.c31 )
+ Current.Element->dndu[i][1] * ( Jac.c11 * Jac.c33 - Jac.c13 * Jac.c31 )
- Current.Element->dndu[i][2] * ( Jac.c11 * Jac.c23 - Jac.c13 * Jac.c21 );
DetJac_dx[2] =
Current.Element->dndu[i][0] * ( Jac.c21 * Jac.c32 - Jac.c22 * Jac.c31 )
- Current.Element->dndu[i][1] * ( Jac.c11 * Jac.c32 - Jac.c12 * Jac.c31 )
+ Current.Element->dndu[i][2] * ( Jac.c11 * Jac.c22 - Jac.c12 * Jac.c21 );
if(DetJac != 0){
dsdx[0] = DetJac_dx[0]/DetJac ;
dsdx[1] = DetJac_dx[1]/DetJac ;
dsdx[2] = DetJac_dx[2]/DetJac ;
s[0] = - squF[2] * dsdx[0] ;
s[1] = - squF[2] * dsdx[1] ;
s[2] = - squF[2] * dsdx[2] ;
}
else {
Message::Warning("Zero determinant in 'F_dFzduz'") ;
}
}
V->Type = VECTOR ;
V->Val[0] = s[0] ;
V->Val[1] = s[1] ;
V->Val[2] = s[2] ;
}
void F_dFxdv (F_ARG)
{
MATRIX3x3 Jac ;
double DetJac ;
double DetJac_dx[3], squF[3] ;
double dsdx[3] ; //Derivative of the base functions with respect to x, y and z
double s[3] = {0.,0.,0.};
if(!Current.Element)
Message::Error("Uninitialized Element in 'F_dFxdv'");
int numNode = Current.NumEntity;
int i = 0 ;
while (i < Current.Element->GeoElement->NbrNodes &&
Current.Element->GeoElement->NumNodes[i] != numNode) i++;
if (i < Current.Element->GeoElement->NbrNodes ) {
for(int j = 0; j < 3; j++) {
squF[j] = A->Val[j] ;
}
//Get_BFGeoElement(Current.Element, Current.u, Current.v, Current.w);
DetJac = Current.Element->DetJac ;
Jac = Current.Element->Jac ;
DetJac_dx[0] =
Current.Element->dndu[i][0] * ( Jac.c22 * Jac.c33 - Jac.c23 * Jac.c32 )
- Current.Element->dndu[i][1] * ( Jac.c12 * Jac.c33 - Jac.c13 * Jac.c32 )
+ Current.Element->dndu[i][2] * ( Jac.c12 * Jac.c23 - Jac.c22 * Jac.c13 );
DetJac_dx[1] =
- Current.Element->dndu[i][0] * ( Jac.c21 * Jac.c33 - Jac.c23 * Jac.c31 )
+ Current.Element->dndu[i][1] * ( Jac.c11 * Jac.c33 - Jac.c13 * Jac.c31 )
- Current.Element->dndu[i][2] * ( Jac.c11 * Jac.c23 - Jac.c13 * Jac.c21 );
DetJac_dx[2] =
Current.Element->dndu[i][0] * ( Jac.c21 * Jac.c32 - Jac.c22 * Jac.c31 )
- Current.Element->dndu[i][1] * ( Jac.c11 * Jac.c32 - Jac.c12 * Jac.c31 )
+ Current.Element->dndu[i][2] * ( Jac.c11 * Jac.c22 - Jac.c12 * Jac.c21 );
if(DetJac != 0){
dsdx[0] = DetJac_dx[0]/DetJac ; dsdx[1] = DetJac_dx[1]/DetJac ;
dsdx[2] = DetJac_dx[2]/DetJac ;
s[0] = - squF[0] * dsdx[0] - squF[1] * dsdx[1] - squF[2] * dsdx[2] ;
s[1] = squF[1] * dsdx[0] - squF[0] * dsdx[1] ;
s[2] = squF[2] * dsdx[0] - squF[0] * dsdx[2] ;
}
else {
Message::Warning("Zero determinant in 'F_dFxdv'") ;
}
}
V->Type = VECTOR ;
V->Val[0] = s[0] ;
V->Val[1] = s[1] ;
V->Val[2] = s[2] ;
}
void F_dFydv (F_ARG)
{
MATRIX3x3 Jac ;
double DetJac ;
double DetJac_dx[3], squF[3] ;
double dsdx[3] ; //Derivative of the base functions with respect to x, y and z
double s[3] = {0.,0.,0.};
if(!Current.Element)
Message::Error("Uninitialized Element in 'F_dFydv'");
int numNode = Current.NumEntity;
int i = 0 ;
while (i < Current.Element->GeoElement->NbrNodes &&
Current.Element->GeoElement->NumNodes[i] != numNode) i++;
if (i < Current.Element->GeoElement->NbrNodes ) {
for(int j = 0; j < 3; j++) {
squF[j] = A->Val[j] ;
}
//Get_BFGeoElement(Current.Element, Current.u, Current.v, Current.w);
DetJac = Current.Element->DetJac ;
Jac = Current.Element->Jac ;
DetJac_dx[0] =
Current.Element->dndu[i][0] * ( Jac.c22 * Jac.c33 - Jac.c23 * Jac.c32 )
- Current.Element->dndu[i][1] * ( Jac.c12 * Jac.c33 - Jac.c13 * Jac.c32 )
+ Current.Element->dndu[i][2] * ( Jac.c12 * Jac.c23 - Jac.c22 * Jac.c13 );
DetJac_dx[1] =
- Current.Element->dndu[i][0] * ( Jac.c21 * Jac.c33 - Jac.c23 * Jac.c31 )
+ Current.Element->dndu[i][1] * ( Jac.c11 * Jac.c33 - Jac.c13 * Jac.c31 )
- Current.Element->dndu[i][2] * ( Jac.c11 * Jac.c23 - Jac.c13 * Jac.c21 );
DetJac_dx[2] =
Current.Element->dndu[i][0] * ( Jac.c21 * Jac.c32 - Jac.c22 * Jac.c31 )
- Current.Element->dndu[i][1] * ( Jac.c11 * Jac.c32 - Jac.c12 * Jac.c31 )
+ Current.Element->dndu[i][2] * ( Jac.c11 * Jac.c22 - Jac.c12 * Jac.c21 );
if(DetJac != 0){
dsdx[0] = DetJac_dx[0]/DetJac ;
dsdx[1] = DetJac_dx[1]/DetJac ;
dsdx[2] = DetJac_dx[2]/DetJac ;
s[0] = - squF[1] * dsdx[0] + squF[0] * dsdx[1] ;
s[1] = - squF[0] * dsdx[0] - squF[1] * dsdx[1] - squF[2] * dsdx[2] ;
s[2] = squF[2] * dsdx[1] - squF[1] * dsdx[2] ;
}
else {
Message::Warning("Zero determinant in 'F_dFydv'") ;
}
}
V->Type = VECTOR ;
V->Val[0] = s[0] ;
V->Val[1] = s[1] ;
V->Val[2] = s[2] ;
}
void F_dFzdv (F_ARG)
{
MATRIX3x3 Jac ;
double DetJac ;
double DetJac_dx[3], squF[3] ;
double dsdx[3] ; //Derivative of the base functions with respect to x, y and z
double s[3] = {0.,0.,0.};
if(!Current.Element)
Message::Error("Uninitialized Element in 'F_dFzdv'");
int numNode = Current.NumEntity;
int i = 0 ;
while (i < Current.Element->GeoElement->NbrNodes &&
Current.Element->GeoElement->NumNodes[i] != numNode) i++;
if (i < Current.Element->GeoElement->NbrNodes ) {
for(int j = 0; j < 3; j++) {
squF[j] = A->Val[j] ;
}
//Get_BFGeoElement(Current.Element, Current.u, Current.v, Current.w);
DetJac = Current.Element->DetJac ;
Jac = Current.Element->Jac ;
DetJac_dx[0] =
Current.Element->dndu[i][0] * ( Jac.c22 * Jac.c33 - Jac.c23 * Jac.c32 )
- Current.Element->dndu[i][1] * ( Jac.c12 * Jac.c33 - Jac.c13 * Jac.c32 )
+ Current.Element->dndu[i][2] * ( Jac.c12 * Jac.c23 - Jac.c22 * Jac.c13 );
DetJac_dx[1] =
- Current.Element->dndu[i][0] * ( Jac.c21 * Jac.c33 - Jac.c23 * Jac.c31 )
+ Current.Element->dndu[i][1] * ( Jac.c11 * Jac.c33 - Jac.c13 * Jac.c31 )
- Current.Element->dndu[i][2] * ( Jac.c11 * Jac.c23 - Jac.c13 * Jac.c21 );
DetJac_dx[2] =
Current.Element->dndu[i][0] * ( Jac.c21 * Jac.c32 - Jac.c22 * Jac.c31 )
- Current.Element->dndu[i][1] * ( Jac.c11 * Jac.c32 - Jac.c12 * Jac.c31 )
+ Current.Element->dndu[i][2] * ( Jac.c11 * Jac.c22 - Jac.c12 * Jac.c21 );
if(DetJac != 0){
dsdx[0] = DetJac_dx[0]/DetJac ;
dsdx[1] = DetJac_dx[1]/DetJac ;
dsdx[2] = DetJac_dx[2]/DetJac ;
s[0] = - squF[2] * dsdx[0] + squF[0] * dsdx[2] ;
s[1] = - squF[2] * dsdx[1] + squF[1] * dsdx[2] ;
s[2] = - squF[0] * dsdx[0] - squF[1] * dsdx[1] - squF[2] * dsdx[2] ;
}
else { Message::Warning("Zero determinant in 'F_dFzdv'") ;
}
}
V->Type = VECTOR ;
V->Val[0] = s[0] ;
V->Val[1] = s[1] ;
V->Val[2] = s[2] ;
}
void F_dWedxdv (F_ARG)
{
MATRIX3x3 Jac ;
double DetJac ;
double DetJac_dx[3], squF[3] ;
double dsdx[3] ; //Derivative of the base functions with respect to x, y and z
double s[3] = {0.,0.,0.};
if(!Current.Element)
Message::Error("Uninitialized Element in 'F_dWedxdv'");
int numNode = Current.NumEntity;
int i = 0 ;
while (i < Current.Element->GeoElement->NbrNodes &&
Current.Element->GeoElement->NumNodes[i] != numNode) i++;
if (i < Current.Element->GeoElement->NbrNodes ) {
for(int j = 0; j < 3; j++) {
squF[j] = A->Val[j] ;
}
//Get_BFGeoElement(Current.Element, Current.u, Current.v, Current.w);
DetJac = Current.Element->DetJac ;
Jac = Current.Element->Jac ;
DetJac_dx[0] =
Current.Element->dndu[i][0] * ( Jac.c22 * Jac.c33 - Jac.c23 * Jac.c32 )
- Current.Element->dndu[i][1] * ( Jac.c12 * Jac.c33 - Jac.c13 * Jac.c32 )
+ Current.Element->dndu[i][2] * ( Jac.c12 * Jac.c23 - Jac.c22 * Jac.c13 );
DetJac_dx[1] =
- Current.Element->dndu[i][0] * ( Jac.c21 * Jac.c33 - Jac.c23 * Jac.c31 )
+ Current.Element->dndu[i][1] * ( Jac.c11 * Jac.c33 - Jac.c13 * Jac.c31 )
- Current.Element->dndu[i][2] * ( Jac.c11 * Jac.c23 - Jac.c13 * Jac.c21 );
DetJac_dx[2] =
Current.Element->dndu[i][0] * ( Jac.c21 * Jac.c32 - Jac.c22 * Jac.c31 )
- Current.Element->dndu[i][1] * ( Jac.c11 * Jac.c32 - Jac.c12 * Jac.c31 )
+ Current.Element->dndu[i][2] * ( Jac.c11 * Jac.c22 - Jac.c12 * Jac.c21 );
if(DetJac != 0){
dsdx[0] = DetJac_dx[0]/DetJac ;
dsdx[1] = DetJac_dx[1]/DetJac ;
dsdx[2] = DetJac_dx[2]/DetJac ;
s[0] = -squF[0] * dsdx[0] + squF[1] * dsdx[1] + squF[2] * dsdx[2] ;
s[1] = -squF[1] * dsdx[0] - squF[0] * dsdx[1] ;
s[2] = -squF[2] * dsdx[0] - squF[0] * dsdx[2] ;
}
else {
Message::Warning("Zero determinant in 'F_dWedxdv'") ;
}
}
V->Type = VECTOR ; V->Val[0] = s[0] ;
V->Val[1] = s[1] ;
V->Val[2] = s[2] ;
}
void F_dWedydv (F_ARG)
{
MATRIX3x3 Jac ;
double DetJac ;
double DetJac_dx[3], squF[3] ;
double dsdx[3] ; //Derivative of the base functions with respect to x, y and z
double s[3] = {0.,0.,0.};
if(!Current.Element)
Message::Error("Uninitialized Element in 'F_dWedydv'");
int numNode = Current.NumEntity;
int i = 0 ;
while (i < Current.Element->GeoElement->NbrNodes &&
Current.Element->GeoElement->NumNodes[i] != numNode) i++;
if (i < Current.Element->GeoElement->NbrNodes ) {
for(int j = 0; j < 3; j++) {
squF[j] = A->Val[j] ;
}
//Get_BFGeoElement(Current.Element, Current.u, Current.v, Current.w);
DetJac = Current.Element->DetJac ;
Jac = Current.Element->Jac ;
DetJac_dx[0] =
Current.Element->dndu[i][0] * ( Jac.c22 * Jac.c33 - Jac.c23 * Jac.c32 )
- Current.Element->dndu[i][1] * ( Jac.c12 * Jac.c33 - Jac.c13 * Jac.c32 )
+ Current.Element->dndu[i][2] * ( Jac.c12 * Jac.c23 - Jac.c22 * Jac.c13 );
DetJac_dx[1] =
- Current.Element->dndu[i][0] * ( Jac.c21 * Jac.c33 - Jac.c23 * Jac.c31 )
+ Current.Element->dndu[i][1] * ( Jac.c11 * Jac.c33 - Jac.c13 * Jac.c31 )
- Current.Element->dndu[i][2] * ( Jac.c11 * Jac.c23 - Jac.c13 * Jac.c21 );
DetJac_dx[2] =
Current.Element->dndu[i][0] * ( Jac.c21 * Jac.c32 - Jac.c22 * Jac.c31 )
- Current.Element->dndu[i][1] * ( Jac.c11 * Jac.c32 - Jac.c12 * Jac.c31 )
+ Current.Element->dndu[i][2] * ( Jac.c11 * Jac.c22 - Jac.c12 * Jac.c21 );
if(DetJac != 0){
dsdx[0] = DetJac_dx[0]/DetJac ;
dsdx[1] = DetJac_dx[1]/DetJac ;
dsdx[2] = DetJac_dx[2]/DetJac ;
s[0] = -squF[1] * dsdx[0] - squF[0] * dsdx[1] ;
s[1] = squF[0] * dsdx[0] - squF[1] * dsdx[1] + squF[2] * dsdx[2] ;
s[2] = -squF[2] * dsdx[1] - squF[1] * dsdx[2] ;
}
else {
Message::Warning("Zero determinant in 'F_dWedydv'") ;
}
}
V->Type = VECTOR ;
V->Val[0] = s[0] ;
V->Val[1] = s[1] ;
V->Val[2] = s[2] ;
}
void F_dWedzdv (F_ARG)
{
MATRIX3x3 Jac ;
double DetJac ;
double DetJac_dx[3], squF[3] ;
double dsdx[3] ; //Derivative of the base functions with respect to x, y and z
double s[3] = {0.,0.,0.};
if(!Current.Element)
Message::Error("Uninitialized Element in 'F_dWedzdv'");
int numNode = Current.NumEntity;
int i = 0 ;
while (i < Current.Element->GeoElement->NbrNodes &&
Current.Element->GeoElement->NumNodes[i] != numNode) i++;
if (i < Current.Element->GeoElement->NbrNodes ) {
for(int j = 0; j < 3; j++) {
squF[j] = A->Val[j] ;
}
//Get_BFGeoElement(Current.Element, Current.u, Current.v, Current.w);
DetJac = Current.Element->DetJac ;
Jac = Current.Element->Jac ;
DetJac_dx[0] =
Current.Element->dndu[i][0] * ( Jac.c22 * Jac.c33 - Jac.c23 * Jac.c32 )
- Current.Element->dndu[i][1] * ( Jac.c12 * Jac.c33 - Jac.c13 * Jac.c32 )
+ Current.Element->dndu[i][2] * ( Jac.c12 * Jac.c23 - Jac.c22 * Jac.c13 );
DetJac_dx[1] =
- Current.Element->dndu[i][0] * ( Jac.c21 * Jac.c33 - Jac.c23 * Jac.c31 )
+ Current.Element->dndu[i][1] * ( Jac.c11 * Jac.c33 - Jac.c13 * Jac.c31 )
- Current.Element->dndu[i][2] * ( Jac.c11 * Jac.c23 - Jac.c13 * Jac.c21 );
DetJac_dx[2] =
Current.Element->dndu[i][0] * ( Jac.c21 * Jac.c32 - Jac.c22 * Jac.c31 )
- Current.Element->dndu[i][1] * ( Jac.c11 * Jac.c32 - Jac.c12 * Jac.c31 )
+ Current.Element->dndu[i][2] * ( Jac.c11 * Jac.c22 - Jac.c12 * Jac.c21 );
if(DetJac != 0){
dsdx[0] = DetJac_dx[0]/DetJac ;
dsdx[1] = DetJac_dx[1]/DetJac ;
dsdx[2] = DetJac_dx[2]/DetJac ;
s[0] = -squF[2] * dsdx[0] - squF[0] * dsdx[2] ;
s[1] = -squF[2] * dsdx[1] - squF[1] * dsdx[2] ;
s[2] = squF[0] * dsdx[0] + squF[1] * dsdx[1] - squF[2] * dsdx[2] ;
}
else {
Message::Warning("Zero determinant in 'F_dWedzdv'") ;
}
}
V->Type = VECTOR ;
V->Val[0] = s[0] ;
V->Val[1] = s[1] ;
V->Val[2] = s[2] ;
}
// End Blex added
void F_AssDiag(F_ARG)
{
int k ;
if (Fct->NbrParameters == 1)
Current.flagAssDiag = Fct->Para[0];
else
Current.flagAssDiag = 2; /*+++prov*/
V->Val[0] = 1.;
if (Current.NbrHar != 1){
V->Val[MAX_DIM] = 0. ;
for (k = 2 ; k < std::min(NBR_MAX_HARMONIC, Current.NbrHar) ; k += 2)
V->Val[MAX_DIM*k] = V->Val[MAX_DIM*(k+1)] = 0. ;
}
V->Type = SCALAR ;
}
void F_AtIndex(F_ARG)
{
int index = 0;
double ret = 0.;
if(A->Type != SCALAR){
Message::Error("Non scalar argument for function 'AtIndex");
}
else{
index = (int)A->Val[0];
if (index < 0 || index >= Fct->NbrParameters){
Message::Error("Wrong index in function 'AtIndex': %d not in [0,%d[",
index, Fct->NbrParameters);
}
else{
ret = Fct->Para[index];
}
}
V->Type = SCALAR;
V->Val[0] = ret;
if (Current.NbrHar != 1){
V->Val[MAX_DIM] = 0. ;
for (int k = 2 ; k < std::min(NBR_MAX_HARMONIC, Current.NbrHar) ; k += 2)
V->Val[MAX_DIM*k] = V->Val[MAX_DIM*(k+1)] = 0. ;
}
}