Implemented power spectrum support in Euclidian/Healpix

sample/test_fft_calls.cpp

@@ -1,13 +1,23 @@
+#include "yorick.hpp"
+#include <gsl/gsl_rng.h>
 #include <iostream>
+#include <cmath>
 #include "fourier/euclidian.hpp"
 
 using namespace CosmoTool;
 using namespace std;
 
+double spectrum_generator(double k)
+{
+  return 1/(0.1+pow(k, 3.0));
+}
+
 int main()
 {
   EuclidianFourierTransform_2d<double> dft(128,128,1.0,1.0);
+  EuclidianSpectrum_1D<double> spectrum(spectrum_generator);
   double volume = 128*128;
+  gsl_rng *rng = gsl_rng_alloc(gsl_rng_default);
 
   dft.realSpace().eigen().setRandom();
   dft.analysis();
@@ -15,6 +25,17 @@ int main()
   cout << "Fourier dot-product = " << dft.fourierSpace().dot_product(dft.fourierSpace()).real()*volume << endl;
   dft.synthesis();
   cout << "Resynthesis dot-product = " << dft.realSpace().dot_product(dft.realSpace()) << endl;
+
+  dft.realSpace().scale(2.0);
+  dft.fourierSpace().scale(0.2);
+
+  SpectrumFunction<double>::FourierMapPtr m = spectrum.newRandomFourier(rng, dft.fourierSpace()); 
+  dft.fourierSpace() = *m.get();
+  dft.synthesis();
+
+  uint32_t dims[2] = { 128, 128 };
+  CosmoTool::saveArray("generated_map.nc", dft.realSpace().data(), dims, 2);
+  
   return 0;
 
 }

sample/test_healpix_calls.cpp

@@ -6,7 +6,7 @@ using namespace std;
 
 int main()
 {
-  HealpixFourierTransform<double> dft(128,3*128,3*128, 40);
+  HealpixFourierTransform<double> dft(128,2*128,2*128, 40);
   long Npix = dft.realSpace().size();
 
   dft.realSpace().eigen().setRandom();