/*
  This file is part of CDO. CDO is a collection of Operators to manipulate and analyse Climate model Data.

  Author: Uwe Schulzweida

*/

/*
   This module contains the following operators:

      Mrotuvb     mrotuvb          Backward rotation for MPIOM data
*/

#include <cdi.h>

#include "varray.h"
#include "cdo_options.h"
#include "process_int.h"
#include <mpim_grid.h>
#include "matrix_view.h"

/*
!----------------------------------------------------------------------
!
!     rotation of vectors: In ocean models with rotated grids velocity
!     vectors are given in the direction of grid lines and rows. They
!     have to be rotated in latitudinal and longitudinal direction.
!
!     Note: This routine assumes positive meridional flow for a flow
!           from grid point(i,j) to grid point(i,j+1) and positive
!           zonal flow for a flow from grid point(i,j) to point(i+1,j).
!           this is not the case for mpi-om!
!
!           If this routine is used to rotate data of mpi-om, the
!           logical change_sign_v needs to be true.
!
!  j. jungclaus: 22.01.04:
!    Note here for the coupling fields u_i,v_j are on the non-verlapping
!    (ie-2=ix) grid, furthermore, the velocity fields were previously
!    interpolated onto the scalar points!
!----------------------------------------------------------------------
*/

void
rotate_uv2(Varray<double> &u_i_v, Varray<double> &v_j_v, long nx, long ny, Varray<double> &lon_v, Varray<double> &lat_v,
           Varray<double> &u_lon_v, Varray<double> &v_lat_v)
{
  /*
    in      :: u_i[ny][nx], v_j[ny][nx]       vector components in i-j-direction
    in      :: lat[ny][nx], lon[ny][nx]       latitudes and longitudes
    out     :: u_lon[ny][nx], v_lat[ny][nx]   vector components in lon-lat direction
  */
  constexpr double pi = 3.14159265359;
  MatrixView<double> lon(lon_v.data(), ny, nx);
  MatrixView<double> lat(lat_v.data(), ny, nx);
  MatrixView<double> u_i(u_i_v.data(), ny, nx);
  MatrixView<double> v_j(v_j_v.data(), ny, nx);
  MatrixView<double> u_lon(u_lon_v.data(), ny, nx);
  MatrixView<double> v_lat(v_lat_v.data(), ny, nx);

  // specification whether change in sign is needed for the input arrays
  constexpr auto change_sign_u = false;
  constexpr auto change_sign_v = true;

  // initialization
  v_lat_v.assign(nx * ny, 0.0);
  u_lon_v.assign(nx * ny, 0.0);

  // change sign
  if (change_sign_u)
    for (long i = 0; i < nx * ny; i++) u_i_v[i] *= -1;

  if (change_sign_v)
    for (long i = 0; i < nx * ny; i++) v_j_v[i] *= -1;

  // rotation
  for (long j = 0; j < ny; j++)
    for (long i = 0; i < nx; i++)
      {
        auto ip1 = i + 1;
        auto im1 = i - 1;
        auto jp1 = j + 1;
        auto jm1 = j - 1;
        if (ip1 >= nx) ip1 = 0;  // the 0-meridian
        if (im1 < 0) im1 = nx - 1;
        if (jp1 >= ny) jp1 = j;  // treatment of the last..
        if (jm1 < 0) jm1 = j;    // .. and the fist grid-row

        // difference in latitudes
        auto dlat_i = lat[j][ip1] - lat[j][im1];
        auto dlat_j = lat[jp1][i] - lat[jm1][i];

        // difference in longitudes
        auto dlon_i = lon[j][ip1] - lon[j][im1];
        if (dlon_i > pi) dlon_i -= 2 * pi;
        if (dlon_i < (-pi)) dlon_i += 2 * pi;
        auto dlon_j = lon[jp1][i] - lon[jm1][i];
        if (dlon_j > pi) dlon_j -= 2 * pi;
        if (dlon_j < (-pi)) dlon_j += 2 * pi;

        const auto lat_factor = std::cos(lat[j][i]);
        dlon_i = dlon_i * lat_factor;
        dlon_j = dlon_j * lat_factor;

        // projection by scalar product
        u_lon[j][i] = u_i[j][i] * dlon_i + v_j[j][i] * dlat_i;
        v_lat[j][i] = u_i[j][i] * dlon_j + v_j[j][i] * dlat_j;

        const auto dist_i = std::sqrt(dlon_i * dlon_i + dlat_i * dlat_i);
        const auto dist_j = std::sqrt(dlon_j * dlon_j + dlat_j * dlat_j);

        if (std::fabs(dist_i) > 0 && std::fabs(dist_j) > 0)
          {
            u_lon[j][i] /= dist_i;
            v_lat[j][i] /= dist_j;
          }
        else
          {
            u_lon[j][i] = 0.0;
            v_lat[j][i] = 0.0;
          }

        if (Options::cdoVerbose)
          {
            // velocity vector lengths
            const auto absold = std::sqrt(u_i[j][i] * u_i[j][i] + v_j[j][i] * v_j[j][i]);
            const auto absnew = std::sqrt(u_lon[j][i] * u_lon[j][i] + v_lat[j][i] * v_lat[j][i]);

            if (i % 20 == 0 && j % 20 == 0 && absold > 0)
              {
                printf("(absold,absnew) %ld %ld %g %g %g %g %g %g\n", j + 1, i + 1, absold, absnew, u_i[j][i], v_j[j][i],
                       u_lon[j][i], v_lat[j][i]);

                // test orthogonality
                if ((dlon_i * dlon_j + dlat_j * dlat_i) > 0.1)
                  fprintf(stderr, "orthogonal? %ld %ld %g\n", j + 1, i + 1, (dlon_i * dlon_j + dlat_j * dlat_i));
              }
          }
      }
}

static void
uv_to_p_grid(size_t nlon, size_t nlat, Varray<double> &grid1x_v, Varray<double> &grid1y_v, Varray<double> &grid2x_v,
             Varray<double> &grid2y_v, Varray<double> &grid3x_v, Varray<double> &grid3y_v)
{
  MatrixView<double> grid1x(grid1x_v.data(), nlat, nlon);
  MatrixView<double> grid1y(grid1y_v.data(), nlat, nlon);
  MatrixView<double> grid2x(grid2x_v.data(), nlat, nlon);
  MatrixView<double> grid2y(grid2y_v.data(), nlat, nlon);
  MatrixView<double> grid3x(grid3x_v.data(), nlat, nlon);
  MatrixView<double> grid3y(grid3y_v.data(), nlat, nlon);

  Varray2D<double> gxhelp(nlat, Varray<double>(nlon + 2)), gyhelp(nlat, Varray<double>(nlon + 2));

  // load to a help field
  for (size_t j = 0; j < nlat; j++)
    for (size_t i = 0; i < nlon; i++)
      {
        gxhelp[j][i + 1] = grid1x[j][i];
        gyhelp[j][i + 1] = grid1y[j][i];
      }

  // make help field cyclic
  for (size_t j = 0; j < nlat; j++)
    {
      gxhelp[j][0] = gxhelp[j][nlon];
      gxhelp[j][nlon + 1] = gxhelp[j][1];
      gyhelp[j][0] = gyhelp[j][nlon];
      gyhelp[j][nlon + 1] = gyhelp[j][1];
    }

  // interpolate u to scalar points
  for (size_t j = 0; j < nlat; j++)
    for (size_t i = 0; i < nlon; i++)
      {
        grid3x[j][i] = (gxhelp[j][i] + gxhelp[j][i + 1]) * 0.5;
        if ((gxhelp[j][i] > 340 && gxhelp[j][i + 1] < 20) || (gxhelp[j][i] < 20 && gxhelp[j][i + 1] > 340))
          {
            grid3x[j][i] += (grid3x[j][i] < 180) ? 180 : -180;
          }

        grid3y[j][i] = (gyhelp[j][i] + gyhelp[j][i + 1]) * 0.5;
      }

  // load to a help field
  for (size_t j = 0; j < nlat; j++)
    for (size_t i = 0; i < nlon; i++)
      {
        gxhelp[j][i + 1] = grid2x[j][i];
        gyhelp[j][i + 1] = grid2y[j][i];
      }

  // make help field cyclic
  for (size_t j = 0; j < nlat; j++)
    {
      gxhelp[j][0] = gxhelp[j][nlon];
      gxhelp[j][nlon + 1] = gxhelp[j][1];
      gyhelp[j][0] = gyhelp[j][nlon];
      gyhelp[j][nlon + 1] = gyhelp[j][1];
    }

  // interpolate v to scalar points
  for (size_t j = 1; j < nlat - 1; j++)
    for (size_t i = 0; i < nlon; i++)
      {
        auto gx = (gxhelp[j][i + 1] + gxhelp[j - 1][i + 1]) * 0.5;
        if ((gxhelp[j][i + 1] > 340 && gxhelp[j - 1][i + 1] < 20) || (gxhelp[j][i + 1] < 20 && gxhelp[j - 1][i + 1] > 340))
          {
            gx += (gx < 180) ? 180 : -180;
          }

        auto gy = (gyhelp[j][i + 1] + gyhelp[j - 1][i + 1]) * 0.5;

        // printf("%d %d %g %g %g %g \n", j, i, gx, gy, grid3x[j][i], grid3y[j][i]);

        auto gx2 = (gx + grid3x[j][i]) * 0.5;
        if ((gx > 340 && grid3x[j][i] < 20) || (gx < 20 && grid3x[j][i] > 340))
          {
            gx2 += (gx2 < 180) ? 180 : -180;
          }

        auto gy2 = (gy + grid3y[j][i]) * 0.5;

        grid3x[j][i] = gx2;
        grid3y[j][i] = gy2;

        // printf("%d %d %g %g %g %g \n", j, i, gx2, gy2, grid3x[j][i], grid3y[j][i]);
      }
}

void *
Mrotuvb(void *process)
{
  cdo_initialize(process);

  const auto gpint = !(cdo_operator_argc() == 1 && cdo_operator_argv(0) == "noint");

  const auto streamID1 = cdo_open_read(0);
  const auto streamID2 = cdo_open_read(1);

  const auto vlistID1 = cdo_stream_inq_vlist(streamID1);
  const auto vlistID2 = cdo_stream_inq_vlist(streamID2);

  auto nvars = vlistNvars(vlistID1);
  if (nvars > 1) cdo_abort("More than one variable found in %s", cdo_get_stream_name(0));
  nvars = vlistNvars(vlistID2);
  if (nvars > 1) cdo_abort("More than one variable found in %s", cdo_get_stream_name(1));

  auto gridID1 = vlistGrid(vlistID1, 0);
  auto gridID2 = vlistGrid(vlistID2, 0);
  const auto gridsize = gridInqSize(gridID1);
  if (gpint && gridID1 == gridID2) cdo_abort("Input grids are the same, use parameter >noint< to disable interpolation!");
  if (!gpint && gridID1 != gridID2) cdo_abort("Input grids are not the same!");
  if (gridsize != gridInqSize(gridID2)) cdo_abort("Grids have different size!");

  if (gridInqType(gridID1) != GRID_LONLAT && gridInqType(gridID1) != GRID_GAUSSIAN && gridInqType(gridID1) != GRID_CURVILINEAR)
    cdo_abort("Grid %s unsupported!", gridNamePtr(gridInqType(gridID1)));

  if (gridInqType(gridID1) != GRID_CURVILINEAR) gridID1 = gridToCurvilinear(gridID1, 1);

  if (gridsize != gridInqSize(gridID1)) cdo_abort("Internal problem: gridsize changed!");

  if (gridInqType(gridID2) != GRID_CURVILINEAR) gridID2 = gridToCurvilinear(gridID2, 1);

  if (gridsize != gridInqSize(gridID2)) cdo_abort("Internal problem: gridsize changed!");

  const auto nlon = gridInqXsize(gridID1);
  const auto nlat = gridInqYsize(gridID1);

  Varray<double> grid1x(gridsize), grid1y(gridsize);
  Varray<double> grid2x(gridsize), grid2y(gridsize);
  Varray<double> grid3x(gridsize), grid3y(gridsize);

  gridInqXvals(gridID1, grid1x.data());
  gridInqYvals(gridID1, grid1y.data());

  // Convert lat/lon units if required
  cdo_grid_to_degree(gridID1, CDI_XAXIS, gridsize, grid1x.data(), "grid1 center lon");
  cdo_grid_to_degree(gridID1, CDI_YAXIS, gridsize, grid1y.data(), "grid1 center lat");

  gridInqXvals(gridID2, grid2x.data());
  gridInqYvals(gridID2, grid2y.data());

  // Convert lat/lon units if required
  cdo_grid_to_degree(gridID2, CDI_XAXIS, gridsize, grid2x.data(), "grid2 center lon");
  cdo_grid_to_degree(gridID2, CDI_YAXIS, gridsize, grid2y.data(), "grid2 center lat");

  if (gpint)
    {
      uv_to_p_grid(nlon, nlat, grid1x, grid1y, grid2x, grid2y, grid3x, grid3y);
    }
  else
    {
      grid3x = grid1x;
      grid3y = grid1y;
    }

  const auto gridID3 = gridCreate(GRID_CURVILINEAR, gridsize);
  int datatype = CDI_UNDEFID;
  cdiInqKeyInt(gridID1, CDI_GLOBAL, CDI_KEY_DATATYPE, &datatype);
  cdiDefKeyInt(gridID3, CDI_GLOBAL, CDI_KEY_DATATYPE, datatype);
  gridDefXsize(gridID3, nlon);
  gridDefYsize(gridID3, nlat);
  gridDefXvals(gridID3, grid3x.data());
  gridDefYvals(gridID3, grid3y.data());

  for (size_t i = 0; i < gridsize; i++)
    {
      grid3x[i] *= DEG2RAD;
      grid3y[i] *= DEG2RAD;
    }

  const auto vlistID3 = vlistCreate();
  vlistCopy(vlistID3, vlistID1);
  vlistCat(vlistID3, vlistID2);

  const auto code1 = vlistInqVarCode(vlistID1, 0);
  const auto code2 = vlistInqVarCode(vlistID2, 0);

  if (code1 == code2) vlistDefVarCode(vlistID3, 1, code1 + 1);

  vlistChangeGrid(vlistID3, gridID1, gridID3);
  vlistChangeGrid(vlistID3, gridID2, gridID3);

  const auto taxisID1 = vlistInqTaxis(vlistID1);
  const auto taxisID3 = taxisDuplicate(taxisID1);
  vlistDefTaxis(vlistID3, taxisID3);

  if (Options::cdoVerbose) vlistPrint(vlistID3);

  const auto streamID3 = cdo_open_write(2);
  cdo_def_vlist(streamID3, vlistID3);

  const auto missval1 = vlistInqVarMissval(vlistID1, 0);
  const auto missval2 = vlistInqVarMissval(vlistID2, 0);

  Varray<double> urfield(gridsize), vrfield(gridsize);
  Varray<double> ufield_v(gridsize), vfield_v(gridsize);
  MatrixView<double> ufield(ufield_v.data(), nlat, nlon);
  MatrixView<double> vfield(vfield_v.data(), nlat, nlon);

  Varray<double> uhelp_v, vhelp_v;
  if (gpint)
    {
      const auto gridsizex = (nlon + 2) * nlat;
      uhelp_v.resize(gridsizex);
      vhelp_v.resize(gridsizex);
    }
  MatrixView<double> uhelp(uhelp_v.data(), nlat, nlon + 2);
  MatrixView<double> vhelp(vhelp_v.data(), nlat, nlon + 2);

  int tsID = 0;
  while (true)
    {
      const auto nrecs = cdo_stream_inq_timestep(streamID1, tsID);
      if (nrecs == 0) break;

      cdo_taxis_copy_timestep(taxisID3, taxisID1);

      cdo_def_timestep(streamID3, tsID);

      const auto nrecs2 = cdo_stream_inq_timestep(streamID2, tsID);

      if (nrecs != nrecs2) cdo_abort("Input streams have different number of levels!");

      for (int recID = 0; recID < nrecs; recID++)
        {
          int varID1, varID2, levelID;
          cdo_inq_record(streamID1, &varID1, &levelID);
          cdo_inq_record(streamID2, &varID2, &levelID);

          size_t nmiss1, nmiss2;
          cdo_read_record(streamID1, ufield_v.data(), &nmiss1);
          cdo_read_record(streamID2, vfield_v.data(), &nmiss2);

          // remove missing values
          if (nmiss1 || nmiss2)
            {
              for (size_t i = 0; i < gridsize; i++)
                {
                  if (DBL_IS_EQUAL(ufield_v[i], missval1)) ufield_v[i] = 0.0;
                  if (DBL_IS_EQUAL(vfield_v[i], missval2)) vfield_v[i] = 0.0;
                }
            }

          if (gpint)
            {
              // load to a help field
              for (size_t j = 0; j < nlat; j++)
                for (size_t i = 0; i < nlon; i++)
                  {
                    uhelp[j][i + 1] = ufield[j][i];
                    vhelp[j][i + 1] = vfield[j][i];
                  }

              // make help field cyclic
              for (size_t j = 0; j < nlat; j++)
                {
                  uhelp[j][0] = uhelp[j][nlon];
                  uhelp[j][nlon + 1] = uhelp[j][1];
                  vhelp[j][0] = vhelp[j][nlon];
                  vhelp[j][nlon + 1] = vhelp[j][1];
                }

              // interpolate on pressure points
              for (size_t j = 1; j < nlat; j++)
                for (size_t i = 0; i < nlon; i++)
                  {
                    ufield[j][i] = (uhelp[j][i] + uhelp[j][i + 1]) * 0.5;
                    vfield[j][i] = (vhelp[j - 1][i + 1] + vhelp[j][i + 1]) * 0.5;
                  }
            }

          for (size_t i = 0; i < nlon; i++)
            {
              ufield[0][i] = 0.0;
              vfield[0][i] = 0.0;
            }

          // rotate
          rotate_uv2(ufield_v, vfield_v, nlon, nlat, grid3x, grid3y, urfield, vrfield);

          // calc lat, lon, Auv and alpha
          /*
          {
          double lat, lon, auv, alpha;
          for ( int j = 1; j < nlat-1; j += 3 )
            for ( int i = 0; i < nlon; i += 3 )
              {
                lat = grid3y[j][i]*RAD2DEG;
                lon = grid3x[j][i]*RAD2DEG;
                auv = std::sqrt(urfield[j][i]*urfield[j][i] + vrfield[j][i]*vrfield[j][i]);
                alpha = std::atan2(vrfield[j][i], urfield[j][i]);
                alpha = 90. - alpha*RAD2DEG;

                if ( alpha <   0 ) alpha += 360.;
                if ( alpha > 360 ) alpha -= 360.;

                printf("%g %g %g %g\n", lon, lat, alpha, auv);
              }
          }
          */
          cdo_def_record(streamID3, 0, levelID);
          cdo_write_record(streamID3, urfield.data(), 0);
          cdo_def_record(streamID3, 1, levelID);
          cdo_write_record(streamID3, vrfield.data(), 0);
        }

      tsID++;
    }

  cdo_stream_close(streamID3);
  cdo_stream_close(streamID2);
  cdo_stream_close(streamID1);

  cdo_finish();

  return nullptr;
}
