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-rw-r--r--src/tests.cc97
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+#include <stdio.h>
+#include <string.h>
+#include <math.h>
+#include <assert.h>
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Parameters.h"
+
+#include "utils.hh"
+#include "integrate.hh"
+
+static CCTK_REAL test_simpson_integral(int n)
+{
+ const int nx = n;
+ const int ny = n;
+ const int array_size=(nx+1)*(ny+1);
+
+ CCTK_REAL *f = new CCTK_REAL[array_size];
+
+ const CCTK_REAL dx = 1./nx;
+ const CCTK_REAL dy = 1./ny;
+
+ for (int ix = 0; ix <= nx; ix++)
+ {
+ for (int iy = 0; iy <= ny; iy++)
+ {
+ const int i = Multipole_Index(ix, iy, nx);
+
+ const CCTK_REAL x = ix*dx;
+ const CCTK_REAL y = iy*dy;
+ const CCTK_REAL PI = acos(-1.0);
+
+ f[i] = x*pow(y,2)*pow(cos(2*PI*y),2)*pow(sin(2*PI*x),2);
+ }
+ }
+
+ const CCTK_REAL result = Simpson2DIntegral(f, nx, ny, dx, dy);
+ delete [] f;
+ return result;
+}
+
+
+void Multipole_TestSimpson(CCTK_ARGUMENTS)
+{
+ DECLARE_CCTK_ARGUMENTS;
+
+ const int n1 = 100;
+ const int n2 = 200;
+ const CCTK_REAL PI = acos(-1.0);
+ const CCTK_REAL result1 = test_simpson_integral(100);
+ const CCTK_REAL result2 = test_simpson_integral(200);
+ const CCTK_REAL exact = 1./24 + 1./(64 * pow(PI,2));
+ const CCTK_REAL error1 = fabs(result1 - exact);
+ const CCTK_REAL error2 = fabs(result2 - exact);
+ *test_simpson_convergence_order = log10(error1/error2) / log10((CCTK_REAL) n2/n1);
+}
+
+// void Multipole_TestIntegrate(CCTK_ARGUMENTS)
+// {
+// const int n = 100;
+
+// const int nth = n;
+// const int nph = n;
+// const int array_size=(nth+1)*(nph+1);
+
+// CCTK_REAL *f = new CCTK_REAL[array_size];
+
+// const CCTK_REAL dth = 1/nx;
+// const CCTK_REAL dph = 1/ny;
+
+// for (int ix = 0; ix <= nx; ix++)
+// {
+// for (int iy = 0; iy <= ny; iy++)
+// {
+// const int i = Multipole_Index(ix, iy, nx);
+
+// const CCTK_REAL x = ix*dx;
+// const CCTK_REAL y = iy*dy;
+
+// f[i] = sin(2*PI*x)*cos(2*PI*y);
+// }
+// }
+
+
+
+
+// CCTK_REAL result = Multipole_Integrate(int array_size, int nthetap,
+// CCTK_REAL const array1r[], CCTK_REAL const array1i[],
+// CCTK_REAL const array2r[], CCTK_REAL const array2i[],
+// CCTK_REAL const th[], CCTK_REAL const ph[],
+// CCTK_REAL *outre, CCTK_REAL *outim)
+
+
+
+// printf("Integration result: %.19g\n", result);
+// }