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// GetDP - Copyright (C) 1997-2018 P. Dular and C. Geuzaine, University of Liege
//
// See the LICENSE.txt file for license information. Please report all
// issues on https://gitlab.onelab.info/getdp/getdp/issues
#include <math.h>
#include "Gauss.h"
#include "Gauss_Quadrangle.h"
#include "Message.h"
#include "MallocUtils.h"
/* Classic Gauss Integration over a quadrangle */
void Gauss_Quadrangle (int Nbr_Points, int Num,
double *u, double *v, double *w, double *wght)
{
switch (Nbr_Points) {
case 1 : *u= xq1 [Num] ; *v= yq1 [Num] ; *w= 0. ; *wght= pq1 [Num] ; break ;
case 3 : *u= xq3 [Num] ; *v= yq3 [Num] ; *w= 0. ; *wght= pq3 [Num] ; break ;
case 4 : *u= xq4 [Num] ; *v= yq4 [Num] ; *w= 0. ; *wght= pq4 [Num] ; break ;
case 7 : *u= xq7 [Num] ; *v= yq7 [Num] ; *w= 0. ; *wght= pq7 [Num] ; break ;
default :
Message::Error("Wrong number of Gauss points for Quadrangle: "
"valid choices: 1, 3, 4, 7");
break;
}
}
/* Gauss-Legendre scheme to integrate over a quadrangle */
static int glq[MAX_LINE_POINTS] = {-1};
static double *glxq[MAX_LINE_POINTS], *glyq[MAX_LINE_POINTS], *glpq[MAX_LINE_POINTS];
void GaussLegendre_Quadrangle(int Nbr_Points, int Num,
double *u, double *v, double *w, double *wght)
{
int i, j, index = 0, nb;
double pt1, pt2, wt1, wt2, dum;
nb = (int)sqrt((double)Nbr_Points);
if(nb * nb != Nbr_Points || nb > MAX_LINE_POINTS){
Message::Error("Number of points should be n^2 with n in [1,%d]", MAX_LINE_POINTS) ;
return;
}
if(glq[0] < 0) for(i = 0; i < MAX_LINE_POINTS; i++) glq[i] = 0;
if(!glq[nb - 1]){
Message::Info("Computing GaussLegendre %dX%d for Quadrangle", nb, nb);
glxq[nb - 1] = (double*)Malloc(Nbr_Points * sizeof(double));
glyq[nb - 1] = (double*)Malloc(Nbr_Points * sizeof(double));
glpq[nb - 1] = (double*)Malloc(Nbr_Points * sizeof(double));
for(i = 0; i < nb; i++) {
Gauss_Line(nb, i, &pt1, &dum, &dum, &wt1);
for(j = 0; j < nb; j++) {
Gauss_Line(nb, j, &pt2, &dum, &dum, &wt2);
glxq[nb - 1][index] = pt1;
glyq[nb - 1][index] = pt2;
glpq[nb - 1][index++] = wt1*wt2;
}
}
glq[nb - 1] = 1;
}
*u = glxq[nb - 1][Num] ; *v = glyq[nb - 1][Num] ; *w = 0. ; *wght = glpq[nb - 1][Num] ;
}
/* Gauss Integration over a quadrangle with a 1/R singularity over node (-1,-1,0) */
void GaussSingularR_Quadrangle(int Nbr_Points, int Num,
double *u, double *v, double *w, double *wght)
{
switch (Nbr_Points) {
case 1 : *u= xqs1 [Num] ; *v= yqs1 [Num] ; *w= 0. ; *wght= pqs1 [Num] ; break ;
case 3 : *u= xqs3 [Num] ; *v= yqs3 [Num] ; *w= 0. ; *wght= pqs3 [Num] ; break ;
case 4 : *u= xqs4 [Num] ; *v= yqs4 [Num] ; *w= 0. ; *wght= pqs4 [Num] ; break ;
default :
Message::Error("Wrong number of (modified) Gauss Points for Quadrangle: "
"valid choices: 1, 3, 4");
break;
}
}
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