// 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 <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; } }