add support for a Fejer 2 type grid
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2 changed files with 62 additions and 0 deletions
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@ -289,6 +289,53 @@ void sharp_make_hw_geom_info (int nrings, int ppring, double phi0,
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DEALLOC(stride_);
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}
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/* Weights from Waldvogel 2006: BIT Numerical Mathematics 46, p. 195 */
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void sharp_make_fejer2_geom_info (int nrings, int ppring, double phi0,
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int stride_lon, int stride_lat, sharp_geom_info **geom_info)
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{
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const double pi=3.141592653589793238462643383279502884197;
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double *theta=RALLOC(double,nrings);
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double *weight=RALLOC(double,nrings+1);
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int *nph=RALLOC(int,nrings);
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double *phi0_=RALLOC(double,nrings);
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ptrdiff_t *ofs=RALLOC(ptrdiff_t,nrings);
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int *stride_=RALLOC(int,nrings);
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int n=nrings+1;
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SET_ARRAY(weight,0,n,0.);
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weight[0]=2.;
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for (int k=1; k<=(n/2-1); ++k)
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weight[2*k-1]=2./(1.-4.*k*k);
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weight[2*(n/2)-1]=(n-3.)/(2*(n/2)-1) -1.;
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real_plan plan = make_real_plan(n);
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real_plan_backward_fftpack(plan,weight);
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kill_real_plan(plan);
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for (int m=0; m<nrings; ++m)
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weight[m]=weight[m+1];
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for (int m=0; m<(nrings+1)/2; ++m)
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{
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theta[m]=pi*(m+1)/(nrings+1.);
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theta[nrings-1-m]=pi-theta[m];
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nph[m]=nph[nrings-1-m]=ppring;
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phi0_[m]=phi0_[nrings-1-m]=phi0;
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ofs[m]=(ptrdiff_t)m*stride_lat;
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ofs[nrings-1-m]=(ptrdiff_t)((nrings-1-m)*stride_lat);
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stride_[m]=stride_[nrings-1-m]=stride_lon;
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weight[m]=weight[nrings-1-m]=weight[m]*2*pi/(n*nph[m]);
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}
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sharp_make_geom_info (nrings, nph, ofs, stride_, phi0_, theta, NULL, weight,
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geom_info);
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DEALLOC(theta);
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DEALLOC(weight);
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DEALLOC(nph);
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DEALLOC(phi0_);
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DEALLOC(ofs);
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DEALLOC(stride_);
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}
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void sharp_make_mw_geom_info (int nrings, int ppring, double phi0,
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int stride_lon, int stride_lat, sharp_geom_info **geom_info)
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{
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