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// Gmsh - Copyright (C) 1997-2020 C. Geuzaine, J.-F. Remacle
//
// See the LICENSE.txt file for license information. Please report all
// issues on https://gitlab.onelab.info/gmsh/gmsh/issues.
#include "GmshMessage.h"
#include "GaussIntegration.h"
#include "GaussLegendre1D.h"
#include "GaussJacobi1D.h"
IntPt *getGQPyrPts(int order);
int getNGQPyrPts(int order);
IntPt *GQPyr[] = {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0};
IntPt *getGQPyrPts(int order)
{
int index = order;
if(index >= (int)(sizeof(GQPyr) / sizeof(IntPt *))) {
Msg::Error("Increase size of GQPyr in gauss quadrature pyr");
index = 0;
}
if(!GQPyr[index]) {
int nbPtUV = order / 2 + 1;
int nbPtW = order / 2 + 1;
int nbPtUV2 = nbPtUV * nbPtUV;
double *linPt, *linWt;
gmshGaussLegendre1D(nbPtUV, &linPt, &linWt);
double *GJ20Pt, *GJ20Wt;
getGaussJacobiQuadrature(2, 0, nbPtW, &GJ20Pt, &GJ20Wt);
GQPyr[index] = new IntPt[getNGQPyrPts(order)];
int l = 0;
for(int i = 0; i < getNGQPyrPts(order); i++) {
// compose an integration rule for (1-w)^2 f(u,v,w) on the standard
// hexahedron
int iW = i / (nbPtUV2);
int iU = (i - iW * nbPtUV2) / nbPtUV;
int iV = (i - iW * nbPtUV2 - iU * nbPtUV);
double wt = linWt[iU] * linWt[iV] * GJ20Wt[iW];
double up = linPt[iU];
double vp = linPt[iV];
double wp = GJ20Pt[iW];
// now incorporate the Duffy transformation from pyramid to hexahedron
GQPyr[index][l].pt[0] = 0.5 * (1 - wp) * up;
GQPyr[index][l].pt[1] = 0.5 * (1 - wp) * vp;
GQPyr[index][l].pt[2] = 0.5 * (1 + wp);
wt *= 0.125;
GQPyr[index][l++].weight = wt * 4. / 3.;
}
}
return GQPyr[index];
}
int getNGQPyrPts(int order)
{
int nbPtUV = order / 2 + 1;
int nbPtW = order / 2 + 1;
return nbPtUV * nbPtUV * nbPtW;
}
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