array-slice-ll.cpp

/***************************************************************/
/***************************************************************/
/***************************************************************/
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <complex>

#include "meep.hpp"

#include "ctl-math.h"
#include "ctlgeom.h"

#include "meepgeom.hpp"

#ifndef DATADIR
#define DATADIR "./"
#endif

using namespace meep;

typedef std::complex<double> cdouble;

vector3 v3(double x, double y = 0.0, double z = 0.0) {
  vector3 v;
  v.x = x;
  v.y = y;
  v.z = z;
  return v;
}

// passthrough field function
cdouble default_field_function(const cdouble *fields, const vec &loc, void *data_) {
  (void)loc;   // unused
  (void)data_; // unused
  return fields[0];
}

/***************************************************************/
/***************************************************************/
/***************************************************************/
#define RELTOL 1.0e-6
double Compare(double *d1, double *d2, int N, const char *Name) {
  double Norm1 = 0.0, Norm2 = 0.0, NormDelta = 0.0;
  for (int n = 0; n < N; n++) {
    Norm1 += d1[n] * d1[n];
    Norm2 += d2[n] * d2[n];
    NormDelta += (d1[n] - d2[n]) * (d1[n] - d2[n]);
  };
  Norm1 = sqrt(Norm1);
  Norm2 = sqrt(Norm2);
  NormDelta = sqrt(NormDelta);
  double RelErr = NormDelta / (0.5 * (Norm1 + Norm2));
  if (RelErr > RELTOL) abort("fail: rel error in %s data = %e\n", Name, RelErr);
  return RelErr;
}

double Compare(cdouble *d1, cdouble *d2, int N, const char *Name) {
  double Norm1 = 0.0, Norm2 = 0.0, NormDelta = 0.0;
  for (int n = 0; n < N; n++) {
    Norm1 += norm(d1[n]);
    Norm2 += norm(d2[n]);
    NormDelta += norm(d1[n] - d2[n]);
  };
  Norm1 = sqrt(Norm1);
  Norm2 = sqrt(Norm2);
  NormDelta = sqrt(NormDelta);
  double RelErr = NormDelta / (0.5 * (Norm1 + Norm2));
  if (RelErr > RELTOL) abort("fail: rel error in %s data = %e\n", Name, RelErr);
  return RelErr;
}

/***************************************************************/
/* dummy material function needed to pass to structure( )      */
/* constructor as a placeholder before we can call             */
/* set_materials_from_geometry                                 */
/***************************************************************/
double dummy_eps(const vec &) { return 1.0; }

/***************************************************************/
/***************************************************************/
/***************************************************************/
void usage(char *progname) {
  master_printf("usage: %s [options]\n", progname);
  master_printf("options: \n");
  master_printf(" --use-symmetry    use geometric symmetries\n");
  master_printf(" --write-files     write reference data files\n");
  abort();
}

/***************************************************************/
/***************************************************************/
/***************************************************************/
int main(int argc, char *argv[]) {
  initialize mpi(argc, argv);

  /***************************************************************/
  /* parse command-line options **********************************/
  /***************************************************************/
  bool use_symmetry = false;
  bool write_files = false;
  for (int narg = 1; narg < argc; narg++) {
    if (argv[narg] == 0) continue;
    if (!strcasecmp(argv[narg], "--use-symmetry")) {
      use_symmetry = true;
      master_printf("Using symmetry.\n");
    } else if (!strcasecmp(argv[narg], "--write-files")) {
      write_files = true;
      master_printf("writing HDF5 data files");
    } else {
      master_printf("unknown command-line option %s (aborting)", argv[narg]);
      usage(argv[0]);
    };
  };

  /***************************************************************/
  /* initialize geometry, similar to holey_wvg_cavity   **********/
  /***************************************************************/
  double eps = 13.0; // dielectric constant of waveguide
  double w = 1.2;    // width of waveguide
  double r = 0.36;   // radius of holes
  double d = 1.4;    // defect spacing (ordinary spacing = 1)
  int N = 3;         // number of holes on either side of defect
  double sy = 6.0;   // size of cell in y direction (perpendicular to wvg.)
  double pad = 2.0;  // padding between last hole and PML edge
  double dpml = 1.0; // PML thickness
  double sx = 2.0 * (pad + dpml + N) + d - 1.0; // size of cell in x dir
  double resolution = 20.0;
  geometry_lattice.size.x = sx;
  geometry_lattice.size.y = sy;
  geometry_lattice.size.z = 0.0;
  grid_volume gv = voltwo(sx, sy, resolution);
  gv.center_origin();
  symmetry sym = use_symmetry ? -mirror(Y, gv) : identity();
  structure the_structure(gv, dummy_eps, pml(dpml), sym);
  meep_geom::material_type vacuum = meep_geom::vacuum;
  meep_geom::material_type dielectric = meep_geom::make_dielectric(eps);
  geometric_object objects[7];
  vector3 origin = v3(0.0, 0.0, 0.0);
  vector3 xhat = v3(1.0, 0.0, 0.0);
  vector3 yhat = v3(0.0, 1.0, 0.0);
  vector3 zhat = v3(0.0, 0.0, 1.0);
  vector3 size = v3(ENORMOUS, w, ENORMOUS);
  double x0 = 0.5 * d;
  double deltax = 1.0;
  double height = ENORMOUS;
  objects[0] = make_block(dielectric, origin, xhat, yhat, zhat, size);
  int no = 1;
  for (int n = 0; n < N; n++) {
    vector3 center = v3(x0 + n * deltax, 0.0, 0.0);
    objects[no++] = make_cylinder(vacuum, center, r, height, zhat);
  };
  for (int n = 0; n < N; n++) {
    vector3 center = v3(-x0 - n * deltax, 0.0, 0.0);
    objects[no++] = make_cylinder(vacuum, center, r, height, zhat);
  };
  geometric_object_list g = {no, objects};
  meep_geom::set_materials_from_geometry(&the_structure, g);
  fields f(&the_structure);

  /***************************************************************/
  /* add source and timestep until source has finished (no later)*/
  /***************************************************************/
  double fcen = 0.25; // pulse center frequency
  double df = 0.2;    // pulse width (in frequency)
  gaussian_src_time src(fcen, df);
  component src_cmpt = Hz;
  f.add_point_source(src_cmpt, src, vec(0.0, 0.0));
  while (f.round_time() < f.last_source_time())
    f.step();

  /***************************************************************/
  /***************************************************************/
  /***************************************************************/
  double xMin = -0.25 * sx, xMax = +0.25 * sx;
  double yMin = -0.15 * sy, yMax = +0.15 * sy;
  volume v1d(vec(xMin, 0.0), vec(xMax, 0.0));
  volume v2d(vec(xMin, yMin), vec(xMax, yMax));

  int rank;
  size_t dims1D[1], dims2D[2];
  direction dirs1D[1], dirs2D[2];
  cdouble *file_slice1d = 0;
  double *file_slice2d = 0;

#define H5FILENAME DATADIR "array-slice-ll-ref"
#define NX 126
#define NY 38
  if (write_files) {
    h5file *file = f.open_h5file(H5FILENAME);
    f.output_hdf5(Hz, v1d, file);
    f.output_hdf5(Sy, v2d, file);
    master_printf("Wrote binary data to file %s.h5\n", H5FILENAME);
    delete file;
    exit(0);
  } else {
    //
    // read 1D and 2D array-slice data from HDF5 file
    //
    h5file *file = f.open_h5file(H5FILENAME, h5file::READONLY);
    double *rdata = file->read("hz.r", &rank, dims1D, 1);
    if (rank != 1 || dims1D[0] != NX)
      abort("failed to read 1D data(hz.r) from file %s.h5", H5FILENAME);
    double *idata = file->read("hz.i", &rank, dims1D, 1);
    if (rank != 1 || dims1D[0] != NX)
      abort("failed to read 1D data(hz.i) from file %s.h5", H5FILENAME);
    file_slice1d = new cdouble[dims1D[0]];
    for (size_t n = 0; n < dims1D[0]; n++)
      file_slice1d[n] = cdouble(rdata[n], idata[n]);
    delete[] rdata;
    delete[] idata;

    file_slice2d = file->read("sy", &rank, dims2D, 2);
    if (rank != 2 || dims2D[0] != NX || dims2D[1] != NY)
      abort("failed to read 2D reference data from file %s.h5", H5FILENAME);
    delete file;

    //
    // generate 1D and 2D array slices and compare to
    // data read from file
    //
    rank = f.get_array_slice_dimensions(v1d, dims1D, dirs1D, true);
    if (rank != 1 || dims1D[0] != NX) abort("incorrect dimensions for 1D slice");
    cdouble *slice1d = f.get_complex_array_slice(v1d, Hz);
    double RelErr1D = Compare(slice1d, file_slice1d, NX, "Hz_1d");
    master_printf("1D: rel error %e\n", RelErr1D);

    rank = f.get_array_slice_dimensions(v2d, dims2D, dirs2D, true);
    if (rank != 2 || dims2D[0] != NX || dims2D[1] != NY) abort("incorrect dimensions for 2D slice");
    double *slice2d = f.get_array_slice(v2d, Sy);
    double RelErr2D = Compare(slice2d, file_slice2d, NX * NY, "Sy_2d");
    master_printf("2D: rel error %e\n", RelErr2D);

  }; // if (write_files) ... else ...

  return 0;
}