check_input.cc

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/* Copyright (C) 2002-2012
   Patrick Eriksson <patrick.eriksson@chalmers.se>
   Stefan Buehler   <sbuehler@ltu.se>
 
   This program is free software; you can redistribute it and/or modify it
   under the terms of the GNU General Public License as published by the
   Free Software Foundation; either version 2, or (at your option) any
   later version.
 
   This program is distributed in the hope that it will be useful,
   but WITHOUT ANY WARRANTY; without even the implied warranty of
   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
   GNU General Public License for more details.
 
   You should have received a copy of the GNU General Public License
   along with this program; if not, write to the Free Software
   Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307,
   USA. */
 
/*===========================================================================
  === File description 
  ===========================================================================*/
 
/*===========================================================================
  === External declarations
  ===========================================================================*/
 
#include "check_input.h"
#include <cfloat>
#include <cmath>
#include <stdexcept>
#include "array.h"
#include "auto_md.h"
#include "gridded_fields.h"
#include "logic.h"
 
using GriddedFieldGrids::GFIELD3_P_GRID;
using GriddedFieldGrids::GFIELD3_LAT_GRID;
using GriddedFieldGrids::GFIELD3_LON_GRID;
 
/*===========================================================================
  === Functions for Index
  ===========================================================================*/
 
 
void chk_if_bool(const String& x_name, const Index& x) {
  ARTS_USER_ERROR_IF (!is_bool(x),
      "The variable *", x_name, "* must be a boolean (0 or 1).\n"
      "The present value of *", x_name, "* is ", x, ".")
}
 
 
void chk_if_in_range(const String& x_name,
                     const Index& x,
                     const Index& x_low,
                     const Index& x_high) {
  ARTS_USER_ERROR_IF ((x < x_low) || (x > x_high),
    "The variable *", x_name, "* must fulfill:\n"
      , "   ", x_low, " <= ", x_name, " <= ", x_high, "\n"
      , "The present value of *", x_name, "* is ", x, ".")
}
 
 
void chk_if_increasing(const String& x_name, const ArrayOfIndex& x) {
  ARTS_USER_ERROR_IF (!is_increasing(x),
      "The ArrayOfIndex *", x_name, "* must have strictly\n"
      "increasing values, but this is not the case.\n"
      "x = ", x, "\n")
}
 
/*===========================================================================
  === Functions for Numeric
  ===========================================================================*/
 
 
void chk_not_negative(const String& x_name, const Numeric& x) {
  ARTS_USER_ERROR_IF (x < 0,
      "The variable *", x_name, "* must be >= 0.\n"
      "The present value of *", x_name, "* is ", x, ".")
}
 
 
void chk_if_in_range(const String& x_name,
                     const Numeric& x,
                     const Numeric& x_low,
                     const Numeric& x_high) {
  ARTS_USER_ERROR_IF ((x < x_low) || (x > x_high),
      "The variable *", x_name, "* must fulfill:\n"
      "   ", x_low, " <= ", x_name, " <= ", x_high, "\n"
      "The present value of *", x_name, "* is ", x, ".")
}
 
 
void chk_if_in_range_exclude_low(const String& x_name,
                                 const Numeric& x,
                                 const Numeric& x_low,
                                 const Numeric& x_high) {
  ARTS_USER_ERROR_IF ((x <= x_low) || (x > x_high),
      "The variable *", x_name, "* must fulfill:\n"
      "   ", x_low, " < ", x_name, " <= ", x_high, "\n"
      "The present value of *", x_name, "* is ", x, ".")
}
 
 
void chk_if_in_range_exclude_high(const String& x_name,
                                  const Numeric& x,
                                  const Numeric& x_low,
                                  const Numeric& x_high) {
  ARTS_USER_ERROR_IF ((x < x_low) || (x >= x_high),
      "The variable *", x_name, "* must fulfill:\n"
      "   ", x_low, " <= ", x_name, " < ", x_high, "\n"
      "The present value of *", x_name, "* is ", x, ".")
}
 
 
void chk_if_in_range_exclude(const String& x_name,
                             const Numeric& x,
                             const Numeric& x_low,
                             const Numeric& x_high) {
  ARTS_USER_ERROR_IF ((x <= x_low) || (x >= x_high),
      "The variable *", x_name, "* must fulfill:\n"
      "   ", x_low, " < ", x_name, " < ", x_high, "\n"
      "The present value of *", x_name, "* is ", x, ".")
}
 
/*===========================================================================
  === Functions for Vector
  ===========================================================================*/
 
 
void chk_vector_length(const String& x_name,
                       ConstVectorView x,
                       const Index& l) {
  ARTS_USER_ERROR_IF (x.nelem() != l,
      "The vector *", x_name, "* must have the length ", l, ".\n"
      "The present length of *", x_name, "* is ", x.nelem(), ".")
}
 
 
void chk_vector_length(const String& x1_name,
                       const String& x2_name,
                       ConstVectorView x1,
                       ConstVectorView x2) {
  ARTS_USER_ERROR_IF (x1.nelem() != x2.nelem(),
      "The vectors *", x1_name, "* and *", x2_name,
      "* must have the same length.\n"
      "The length of *", x1_name, "* is ", x1.nelem(), ".\n"
      "The length of *", x2_name, "* is ", x2.nelem(), ".")
}
 
 
void chk_if_increasing(const String& x_name, ConstVectorView x) {
  ARTS_USER_ERROR_IF (!is_increasing(x),
      "The vector *", x_name, "* must have strictly\n"
      "increasing values, but this is not the case.\n"
      "x = ", x, "\n")
}
 
 
void chk_if_decreasing(const String& x_name, ConstVectorView x) {
  ARTS_USER_ERROR_IF (!is_decreasing(x),
      "The vector *", x_name, "* must have strictly\ndecreasing "
      "values, but this is not the case.\n")
}
 
 
void chk_if_equal(const String& x1_name,
                  const String& x2_name,
                  ConstVectorView v1,
                  ConstVectorView v2,
                  Numeric margin) {
  chk_vector_length(x1_name, x2_name, v1, v2);
 
  for (Index i = 0; i < v1.nelem(); i++) {
    ARTS_USER_ERROR_IF (abs(v1[i] - v2[i]) > margin,
        "Vectors ", x1_name, " and ", x2_name, " differ.\n",
        x1_name, "[", i, "]"
        , " = ", v1[i], "\n"
        , x2_name, "[", i, "]"
        , " = ", v2[i], "\n"
        , "Difference should not exceed ", margin, "\n")
  }
}
 
/*===========================================================================
  === Functions for Matrix
  ===========================================================================*/
 
 
void chk_matrix_ncols(const String& x_name, ConstMatrixView x, const Index& l) {
  ARTS_USER_ERROR_IF (x.ncols() != l,
    "The matrix *", x_name, "* must have ", l, " columns,\n"
      , "but the number of columns is ", x.ncols(), ".")
}
 
 
void chk_matrix_nrows(const String& x_name, ConstMatrixView x, const Index& l) {
  ARTS_USER_ERROR_IF (x.nrows() != l,
      "The matrix *", x_name, "* must have ", l, " rows,\n"
      , "but the number of rows is ", x.nrows(), ".")
}
 
/*===========================================================================
  === Functions for Tensors
  ===========================================================================*/
 
 
void chk_size(const String& x_name, ConstVectorView x, const Index& c) {
  ARTS_USER_ERROR_IF (!is_size(x, c),
    "The object *", x_name, "* does not have the right size.\n"
    "Dimension should be:" " ", c,  ",\nbut it is:          " " ",
    x.nelem(), ".")
}
 
 
void chk_size(const String& x_name,
              ConstMatrixView x,
              const Index& r,
              const Index& c) {
  ARTS_USER_ERROR_IF (!is_size(x, r, c),
      "The object *", x_name, "* does not have the right size.\n"
      , "Dimensions should be:"
      , " ", r, " ", c, ",\nbut they are:         "
      , " ", x.nrows(), " ", x.ncols(), ".")
}
 
 
void chk_size(const String& x_name,
              ConstTensor3View x,
              const Index& p,
              const Index& r,
              const Index& c) {
  ARTS_USER_ERROR_IF (!is_size(x, p, r, c),
      "The object *", x_name, "* does not have the right size.\n"
      , "Dimensions should be:"
      , " ", p, " ", r, " ", c, ",\nbut they are:         "
      , " ", x.npages(), " ", x.nrows(), " ", x.ncols(), ".")
}
 
 
void chk_size(const String& x_name,
              ConstTensor4View x,
              const Index& b,
              const Index& p,
              const Index& r,
              const Index& c) {
  ARTS_USER_ERROR_IF (!is_size(x, b, p, r, c),
      "The object *", x_name, "* does not have the right size.\n"
      , "Dimensions should be:"
      , " ", b, " ", p, " ", r, " ", c
      , ",\nbut they are:         "
      , " ", x.nbooks(), " ", x.npages(), " ", x.nrows(), " "
      , x.ncols(), ".")
}
 
 
void chk_size(const String& x_name,
              ConstTensor5View x,
              const Index& s,
              const Index& b,
              const Index& p,
              const Index& r,
              const Index& c) {
  ARTS_USER_ERROR_IF (!is_size(x, s, b, p, r, c),
      "The object *", x_name, "* does not have the right size.\n"
      , "Dimensions should be:"
      , " ", s, " ", b, " ", p, " ", r, " ", c
      , ",\nbut they are:         "
      , " ", x.nshelves(), " ", x.nbooks(), " ", x.npages(), " "
      , x.nrows(), " ", x.ncols(), ".")
}
 
 
void chk_size(const String& x_name,
              ConstTensor6View x,
              const Index& v,
              const Index& s,
              const Index& b,
              const Index& p,
              const Index& r,
              const Index& c) {
  ARTS_USER_ERROR_IF (!is_size(x, v, s, b, p, r, c),
      "The object *", x_name, "* does not have the right size.\n"
      , "Dimensions should be:"
      , " ", v, " ", s, " ", b, " ", p, " ", r, " ", c
      , ",\nbut they are:         "
      , " ", x.nvitrines(), " ", x.nshelves(), " ", x.nbooks()
      , " ", x.npages(), " ", x.nrows(), " ", x.ncols(), ".")
}
 
 
void chk_size(const String& x_name,
              ConstTensor7View x,
              const Index& l,
              const Index& v,
              const Index& s,
              const Index& b,
              const Index& p,
              const Index& r,
              const Index& c) {
  ARTS_USER_ERROR_IF (!is_size(x, l, v, s, b, p, r, c),
      "The object *", x_name, "* does not have the right size.\n"
      , "Dimensions should be:"
      , " ", l, " ", v, " ", s, " ", b, " ", p, " ", r
      , " ", c, ",\nbut they are:         "
      , " ", x.nlibraries(), " ", x.nvitrines(), " ", x.nshelves()
      , " ", x.nbooks(), " ", x.npages(), " ", x.nrows(), " "
      , x.ncols(), ".")
}
 
/*===========================================================================
  === Functions for Agendas
  ===========================================================================*/
 
 
void chk_not_empty(const String& x_name, const Agenda& x) {
  ARTS_USER_ERROR_IF (x.nelem() == 0,
      "The agenda *", x_name, "* is empty.\nIt is not allowed \n"
      , "that an empty agenda that is actually used.\n"
      , "Empty agendas are only created of methods setting dummy values \n"
      , "to variables.")
}
 
/*===========================================================================
  === Functions for interpolation grids
  ===========================================================================*/
 
 
void chk_interpolation_grids_loose(Index& ing_min,
                                   Index& ing_max,
                                   const String& which_interpolation,
                                   ConstVectorView old_grid,
                                   ConstVectorView new_grid,
                                   ConstVectorView data,
                                   const Index order) {
  chk_interpolation_grids_loose_no_data_check(
      ing_min, ing_max, which_interpolation, old_grid, new_grid, order);
 
  chk_interpolation_grids_loose_check_data(
      ing_min, ing_max, which_interpolation, old_grid, new_grid, data);
}
 
 
void chk_interpolation_grids_loose_no_data_check(
    Index& ing_min,
    Index& ing_max,
    const String& which_interpolation,
    ConstVectorView old_grid,
    ConstVectorView new_grid,
    const Index order) {
  const Index n_old = old_grid.nelem();
 
  ARTS_USER_ERROR_IF (!new_grid.nelem(),
                      "The new grid is not allowed to be empty.");
 
  // Old grid must have at least order+1 elements:
  ARTS_USER_ERROR_IF (n_old < order + 1, "There is a problem with the grids for the following interpolation:\n",
                      which_interpolation, "\n",
    "The original grid must have at least ", order + 1, " elements.")
 
  // Decide whether we have an ascending or descending grid:
  const bool ascending = (old_grid[0] <= old_grid[1]);
 
  // Minimum and maximum allowed value from old grid. (Will include
  // extrapolation tolerance.)
  Numeric og_min, og_max;
 
  ing_min = 0;
  ing_max = new_grid.nelem() - 1;
  if (ascending) {
    // Old grid must be strictly increasing (no duplicate values.)
    ARTS_USER_ERROR_IF (!is_increasing(old_grid), "There is a problem with the grids for the following interpolation:\n",
                        which_interpolation, "\n",
      "The original grid must be strictly sorted\n"
        , "(no duplicate values). Yours is:\n"
        , old_grid, ".")
 
    // Limits of extrapolation.
    og_min = old_grid[0];
    og_max = old_grid[n_old - 1];
  } else {
    // Old grid must be strictly decreasing (no duplicate values.)
    ARTS_USER_ERROR_IF (!is_decreasing(old_grid), "There is a problem with the grids for the following interpolation:\n",
                        which_interpolation, "\n",
      "The original grid must be strictly sorted\n"
        , "(no duplicate values). Yours is:\n"
        , old_grid, ".")
 
    // The max is now the first point, the min the last point!
    og_max = old_grid[0];
    og_min = old_grid[n_old - 1];
  }
 
  // Min and max of new grid:
  const Numeric ng_min = min(new_grid);
  const Numeric ng_max = max(new_grid);
 
  // If new grid is not inside old grid, determine the indexes of the range
  // that is.
 
  const Index iog_min = 0;
  const Index iog_max = old_grid.nelem() - 1;
 
  ing_min = 0;
  ing_max = new_grid.nelem() - 1;
 
  if (ascending) {
    if (ng_max > og_max) {
      while (ing_max > 0 && new_grid[ing_max] > old_grid[iog_max]) ing_max--;
    }
 
    if (ng_min < og_min) {
      while (ing_min < new_grid.nelem() - 1 &&
             new_grid[ing_min] < old_grid[iog_min])
        ing_min++;
    }
  } else {
    if (ng_min < og_min) {
      while (ing_max > 0 && new_grid[ing_max] < old_grid[iog_max]) ing_max--;
    }
 
    if (ng_max > og_max) {
      while (ing_min < new_grid.nelem() - 1 &&
             new_grid[ing_min] > old_grid[iog_min])
        ing_min++;
    }
  }
}
 
 
void chk_interpolation_pgrids_loose_no_data_check(
    Index& ing_min,
    Index& ing_max,
    const String& which_interpolation,
    ConstVectorView old_pgrid,
    ConstVectorView new_pgrid,
    const Index order) {
  // Local variable to store log of the pressure grids
  Vector logold(old_pgrid.nelem());
  Vector lognew(new_pgrid.nelem());
 
  transform(logold, log, old_pgrid);
  transform(lognew, log, new_pgrid);
 
  chk_interpolation_grids_loose_no_data_check(
      ing_min, ing_max, which_interpolation, logold, lognew, order);
}
 
 
void chk_interpolation_grids_loose_check_data(Index& ing_min,
                                              Index& ing_max,
                                              const String& which_interpolation,
                                              ConstVectorView old_grid,
                                              ConstVectorView new_grid,
                                              ConstVectorView data) {
  ARTS_USER_ERROR_IF (!new_grid.nelem(),
                      "The new grid is not allowed to be empty.");
 
  // Decide whether we have an ascending or descending grid:
  const bool ascending = (old_grid[0] <= old_grid[1]);
 
  // If new grid is not inside old grid, determine the indexes of the range
  // that is.
 
  const Index iog_min = ascending ? old_grid.nelem() - 1 : 0;
  const Index iog_max = ascending ? 0 : old_grid.nelem() - 1;
 
  ARTS_USER_ERROR_IF (ing_min > 0 && data[iog_min] != 0, "There is a problem with the grids for the following interpolation:\n"
  , which_interpolation, "\n",
    "\nThe new grid is not fully inside the original grid.\n"
      , "This is allowed if the corresponding boundary value of raw data is 0.\n"
      , "New grid point: ", new_grid[ing_min], "\n"
      , "Old grid point: ", old_grid[iog_min], "\n"
      , "Boundary value: ", data[iog_min])
 
  ARTS_USER_ERROR_IF (ing_max < new_grid.nelem() - 1 && data[iog_max] != 0, "There is a problem with the grids for the following interpolation:\n"
  , which_interpolation, "\n",
    "\nThe the new grid is not fully inside the original grid.\n"
      , "This is allowed if the corresponding boundary value of raw data is 0.\n"
      , "New grid point: ", new_grid[ing_max], "\n"
      , "Old grid point: ", old_grid[iog_max], "\n"
      , "Boundary value: ", data[iog_max])
}
 
 
void chk_interpolation_grids(const String& which_interpolation,
                             ConstVectorView old_grid,
                             ConstVectorView new_grid,
                             const Index order,
                             const Numeric& extpolfac,
                             const bool islog) {
  const Index n_old = old_grid.nelem();
 
  ARTS_USER_ERROR_IF (!new_grid.nelem(),
                      "The new grid is not allowed to be empty.");
 
  ARTS_USER_ERROR_IF (order < 0,
      "There is a problem with the grids for the following "
      "interpolation:\n",
      which_interpolation, "\n"
      "Interpolation order must be 0 or larger (but your's is ", order,
      ").")
 
  // Old grid must have at least order+1 elements:
  ARTS_USER_ERROR_IF (n_old < order + 1,
    "There is a problem with the grids for the following "
      , "interpolation:\n"
      , which_interpolation, "\n"
      , "For interpolation order ", order
      , ", the original grid must have at least\n"
      , order + 1, " elements (but your's has only ", n_old, ").")
 
  // Decide whether we have an ascending or descending grid:
  const bool ascending = ((n_old > 1) ? (old_grid[0] <= old_grid[1]) : true);
 
  // Minimum and maximum allowed value from old grid. (Will include
  // extrapolation tolerance.)
  Numeric og_min = old_grid[0], og_max = old_grid[0];
 
  if (ascending) {
    // Old grid must be strictly increasing (no duplicate values.)
    ARTS_USER_ERROR_IF (!is_increasing(old_grid),
      "There is a problem with the grids for the "
        , "following interpolation:\n"
        , which_interpolation, "\n"
        , "The original grid must be strictly sorted\n"
        , "(no duplicate values). Yours is:\n"
        , old_grid, ".")
 
    // Limits of extrapolation.
    if (n_old > 1) {
      og_min = old_grid[0] - extpolfac * (old_grid[1] - old_grid[0]);
      og_max = old_grid[n_old - 1] +
               extpolfac * (old_grid[n_old - 1] - old_grid[n_old - 2]);
    }
  } else {
    // Old grid must be strictly decreasing (no duplicate values.)
    ARTS_USER_ERROR_IF (!is_decreasing(old_grid),
      "There is a problem with the grids for the "
        , "following interpolation:\n"
        , which_interpolation, "\n"
        , "The original grid must be strictly sorted\n"
        , "(no duplicate values). Yours is:\n"
        , old_grid, ".")
 
    // The max is now the first point, the min the last point!
    // I think the sign is right here...
    if (n_old > 1) {
      og_max = old_grid[0] - extpolfac * (old_grid[1] - old_grid[0]);
      og_min = old_grid[n_old - 1] +
               extpolfac * (old_grid[n_old - 1] - old_grid[n_old - 2]);
    }
  }
 
  // Min and max of new grid:
  const Numeric ng_min = min(new_grid);
  const Numeric ng_max = max(new_grid);
 
  // New grid must be inside old grid (plus extpolfac).
  // (Values right on the edge (ng_min==og_min) are still allowed.)
 
  if (n_old > 1) {
    ARTS_USER_ERROR_IF (ng_min < og_min,
      "There is a problem with the grids for the "
        , "following interpolation:\n"
        , which_interpolation, "\n"
        , "The minimum of the new grid must be inside "
        , "the original grid.\n(We allow a bit of extrapolation, "
        , "but not so much).\n"
        , "Minimum of original grid:           ", min(old_grid),
        islog ? var_string(" (", exp(min(old_grid)), ")") : var_string(),
        "\nMinimum allowed value for new grid: ", og_min,
        islog ? var_string(" (", exp(og_min), ")") : var_string(),
        "\nActual minimum of new grid:         ", ng_min,
        islog ? var_string(" (", exp(ng_min), ")") : var_string())
 
    ARTS_USER_ERROR_IF (ng_max > og_max,
      "There is a problem with the grids for the "
        , "following interpolation:\n"
        , which_interpolation, "\n"
        , "The maximum of the new grid must be inside\n"
        , "the original grid. (We allow a bit of extrapolation,\n"
        , "but not so much).\n"
        , "Maximum of original grid:           ", max(old_grid),
        islog ? var_string(" (", exp(max(old_grid)), ")") : var_string(),
        "\nMaximum allowed value for new grid: ", og_max,
        islog ? var_string(" (", exp(og_max), ")") : var_string(),
        "\nActual maximum of new grid:         ", ng_max,
        islog ? var_string(" (", exp(ng_max), ")") : var_string())
  }
 
  // If we get here, than everything should be fine.
}
 
 
void chk_interpolation_grids(const String& which_interpolation,
                             ConstVectorView old_grid,
                             const Numeric& new_grid,
                             const Index order,
                             const Numeric& extpolfac) {
  const Vector v(1, new_grid);
  chk_interpolation_grids(which_interpolation, old_grid, v, order, extpolfac);
}
 
 
void chk_interpolation_pgrids(const String& which_interpolation,
                              ConstVectorView old_pgrid,
                              ConstVectorView new_pgrid,
                              const Index order,
                              const Numeric& extpolfac) {
  // Local variable to store log of the pressure grids
  Vector logold(old_pgrid.nelem());
  Vector lognew(new_pgrid.nelem());
 
  transform(logold, log, old_pgrid);
  transform(lognew, log, new_pgrid);
 
  chk_interpolation_grids(
      which_interpolation, logold, lognew, order, extpolfac, true);
}
 
/*===========================================================================
  === Functions related to atmospheric and surface grids and fields.
  ===========================================================================*/
 
 
void chk_atm_grids(const Index& dim,
                   ConstVectorView p_grid,
                   ConstVectorView lat_grid,
                   ConstVectorView lon_grid) {
  // p_grid
  ARTS_USER_ERROR_IF (p_grid.nelem() < 2,
                      "The length of *p_grid* must be >= 2.");
  chk_if_decreasing("p_grid", p_grid);
 
  // lat_grid
  if (dim == 1) {
    ARTS_USER_ERROR_IF (lat_grid.nelem() > 0,
                        "For dim=1, the length of *lat_grid* must be 0.");
  } else {
    ARTS_USER_ERROR_IF (lat_grid.nelem() < 2,
                        "For dim>1, the length of *lat_grid* must be >= 2.");
    chk_if_increasing("lat_grid", lat_grid);
  }
 
  // lon_grid
  if (dim < 3) {
    ARTS_USER_ERROR_IF (lon_grid.nelem() > 0,
                        "For dim<3, the length of *lon_grid* must be 0.");
  } else {
    ARTS_USER_ERROR_IF (lon_grid.nelem() < 2,
                        "For dim=3, the length of *lon_grid* must be >= 2.");
    chk_if_increasing("lon_grid", lon_grid);
  }
 
  // Check that latitude and longitude grids are inside OK ranges for 3D
  if (dim == 3) {
    ARTS_USER_ERROR_IF (lat_grid[0] < -90,
          "The latitude grid cannot extend below -90 degrees for 3D");
    ARTS_USER_ERROR_IF (lat_grid[lat_grid.nelem() - 1] > 90,
          "The latitude grid cannot extend above 90 degrees for 3D");
    ARTS_USER_ERROR_IF (lon_grid[0] < -360,
          "No longitude (in lon_grid) can be below -360 degrees.");
    ARTS_USER_ERROR_IF (lon_grid[lon_grid.nelem() - 1] > 360,
          "No longitude (in lon_grid) can be above 360 degrees.");
    ARTS_USER_ERROR_IF (lon_grid[lon_grid.nelem() - 1] - lon_grid[0] > 360,
          "The longitude grid is not allowed to cover more than 360 degrees.");
  }
}
 
 
void chk_atm_field(const String& x_name,
                   ConstTensor3View x,
                   const Index& dim,
                   ConstVectorView p_grid,
                   ConstVectorView lat_grid,
                   ConstVectorView lon_grid,
                   const bool& chk_lat90) {
  // It is assumed that grids OK-ed through chk_atm_grids
  Index npages = p_grid.nelem(), nrows = 1, ncols = 1;
  if (dim > 1) nrows = lat_grid.nelem();
  if (dim > 2) ncols = lon_grid.nelem();
  ARTS_USER_ERROR_IF (x.ncols() != ncols || x.nrows() != nrows || x.npages() != npages,
    "The atmospheric field *", x_name, "* has wrong size.\n"
      , "Expected size is ", npages, " x ", nrows, " x ", ncols
      , ", while actual size is ", x.npages(), " x ", x.nrows(), " x "
      , x.ncols(), ".")
 
  // NaNs are not allowed
  for (Index ip = 0; ip < npages; ip++) {
    for (Index ir = 0; ir < nrows; ir++) {
      for (Index ic = 0; ic < ncols; ic++) {
        ARTS_USER_ERROR_IF (std::isnan(x(ip, ir, ic)),
          "The variable *", x_name, "* contains one or "
            , "several NaNs. This is not allowed!")
      }
    }
  }
 
  // Special 3D checks:
  if (dim == 3) {
    // If all lons are covered, check if cyclic
    if (is_lon_cyclic(lon_grid)) {
      const Index ic = ncols - 1;
      for (Index ip = 0; ip < npages; ip++) {
        for (Index ir = 0; ir < nrows; ir++) {
          ARTS_USER_ERROR_IF (!is_same_within_epsilon(
                  x(ip, ir, ic), x(ip, ir, 0), 4 * DBL_EPSILON),
            "The variable *", x_name, "* covers 360 "
              , "degrees in the longitude direction, but the field "
              , "seems to deviate between first and last longitude "
              , "point. The field must be \"cyclic\".\n"
              , "Difference: ", setprecision(16)
              , x(ip, ir, ic) - x(ip, ir, 0), "\n"
              , "Epsilon   : "
              , 4 * DBL_EPSILON * max(x(ip, ir, ic), x(ip, ir, 0)))
        }
      }
    }
 
    chk_if_bool("chk_lat90", chk_lat90);
    if (chk_lat90) {
      // No variation at the South pole!
      if (lat_grid[0] == -90) {
        for (Index ip = 0; ip < npages; ip++) {
          for (Index ic = 1; ic < ncols; ic++) {
            ARTS_USER_ERROR_IF (!is_same_within_epsilon(
                    x(ip, 0, ic), x(ip, 0, ic - 1), 2 * DBL_EPSILON),
              "The variable *", x_name, "* covers the South\n"
                , "pole. The data corresponding to the pole can not\n"
                , "vary with longitude, but this appears to be the\n"
                , "case.")
              /*                            , "case: at ", ip, ".th  pressure it has val\n"
                            , x(ip,0,ic-1), ", but ", x(ip,0,ic)
                            , " (i.e., a diff of ", fabs(x(ip,0,ic)-x(ip,0,ic-1))
                            , ") at ", ic-1, "th and ", ic, "th longitudes!\n";
*/
          }
        }
      }
      // No variation at the North pole!
      if (lat_grid[nrows - 1] == 90) {
        const Index ir = nrows - 1;
        for (Index ip = 0; ip < npages; ip++) {
          for (Index ic = 1; ic < ncols; ic++) {
            ARTS_USER_ERROR_IF (!is_same_within_epsilon(
                    x(ip, ir, ic), x(ip, ir, ic - 1), 2 * DBL_EPSILON),
              "The variable *", x_name, "* covers the North\n"
                , "pole. The data corresponding to the pole can not\n"
                , "vary with longitude, but this appears to be the "
                , "case.")
              /*                            , "case: at ", ip, ".th  pressure it has val\n"
                            , x(ip,ir,ic-1), ", but ", x(ip,ir,ic)
                            , " (i.e., a diff of ", fabs(x(ip,ir,ic)-x(ip,ir,ic-1))
                            , ") at ", ic-1, "th and ", ic, "th longitudes!\n";
*/
          }
        }
      }
    }
  }
}
 
 
void chk_atm_field(const String& x_name,
                   ConstTensor4View x,
                   const Index& dim,
                   const Index& nspecies,
                   ConstVectorView p_grid,
                   ConstVectorView lat_grid,
                   ConstVectorView lon_grid,
                   const bool& check_nan) {
  const Index nbooks = nspecies;
  //
  if (nbooks == 0) {
    ARTS_USER_ERROR_IF (x.nbooks(),
      "The atmospheric field *", x_name, "* should be empty.\n")
    return;
  }
 
  Index npages = p_grid.nelem(), nrows = 1, ncols = 1;
  if (dim > 1) nrows = lat_grid.nelem();
  if (dim > 2) ncols = lon_grid.nelem();
 
  ARTS_USER_ERROR_IF (x.ncols() != ncols || x.nrows() != nrows || x.npages() != npages ||
      x.nbooks() != nbooks,
    "The atmospheric field *", x_name, "* has wrong size.\n"
      , "Expected size is ", nbooks, " x ", npages, " x ", nrows
      , " x ", ncols, ",\n"
      , "while actual size is ", x.nbooks(), " x ", x.npages(), " x "
      , x.nrows(), " x ", x.ncols(), ".")
 
  if (check_nan)
  // NaNs are not allowed
  {
    for (Index ib = 0; ib < nbooks; ib++) {
      for (Index ip = 0; ip < npages; ip++) {
        for (Index ir = 0; ir < nrows; ir++) {
          for (Index ic = 0; ic < ncols; ic++) {
            ARTS_USER_ERROR_IF (std::isnan(x(ib, ip, ir, ic)),
              "The variable *", x_name, "* contains one or "
                , "several NaNs. This is not allowed!")
          }
        }
      }
    }
  }
 
  // Special 3D checks:
  if (dim == 3) {
    // If all lons are covered, check if cyclic
    if ((lon_grid[ncols - 1] - lon_grid[0]) == 360) {
      const Index ic = ncols - 1;
      for (Index is = 0; is < nspecies; is++) {
        for (Index ip = 0; ip < npages; ip++) {
          for (Index ir = 0; ir < nrows; ir++) {
            ARTS_USER_ERROR_IF (!is_same_within_epsilon(
                    x(is, ip, ir, ic), x(is, ip, ir, 0), 2 * DBL_EPSILON),
              "The variable *", x_name, "* covers 360 "
                , "degrees in the longitude direction, but at least "
                , "one field seems to deviate between first and last "
                , "longitude point. The field must be \"cyclic\". "
                , "This was found for field with index ", is
                , " (0-based).")
          }
        }
      }
    }
    // No variation at the South pole!
    if (lat_grid[0] == -90) {
      for (Index is = 0; is < nspecies; is++) {
        for (Index ip = 0; ip < npages; ip++) {
          for (Index ic = 1; ic < ncols; ic++) {
            ARTS_USER_ERROR_IF (!is_same_within_epsilon(
                    x(is, ip, 0, ic), x(is, ip, 0, ic - 1), 2 * DBL_EPSILON),
              "The variable *", x_name, "* covers the South "
                , "pole. The data corresponding to the pole can not "
                , "vary with longitude, but this appears to be the "
                , "case. This was found for field with index ", is
                , " (0-based).")
          }
        }
      }
    }
    // No variation at the North pole!
    if (lat_grid[nrows - 1] == 90) {
      const Index ir = nrows - 1;
      for (Index is = 0; is < nspecies; is++) {
        for (Index ip = 0; ip < npages; ip++) {
          for (Index ic = 1; ic < ncols; ic++) {
            ARTS_USER_ERROR_IF (!is_same_within_epsilon(x(is, ip, ir, ic),
                                        x(is, ip, ir, ic - 1),
                                        2 * DBL_EPSILON),
              "The variable *", x_name, "* covers the North "
                , "pole. The data corresponding to the pole can not "
                , "vary with longitude, but this appears to be the "
                , "case. This was found for field with index ", is
                , " (0-based).")
          }
        }
      }
    }
  }
}
 
 
void chk_atm_vecfield_lat90(const String& x1_name,
                            ConstTensor3View x1,
                            const String& x2_name,
                            ConstTensor3View x2,
                            const Index& dim,
                            ConstVectorView lat_grid,
                            const Numeric& threshold) {
  // It is assumed that grids OK-ed through chk_atm_grids and fields
  // individually OK-ed.
 
  // We only need to check 3D cases. Else there is no variation in longitude
  // anyways.
  if (dim == 3) {
    Index npages = x1.npages();
    Index nrows = x1.nrows();
    Index ncols = x1.ncols();
 
    // For safety check that both fields have identical dimensions
    ARTS_USER_ERROR_IF (x2.ncols() != ncols || x2.nrows() != nrows || x2.npages() != npages,
      "The atmospheric fields *", x1_name, "* and *", x2_name
        , "* do not match in size.\n"
        , "*", x1_name, "*'s size is ", npages, " x ", nrows
        , " x ", ncols, ", while *", x1_name, "*'s size is "
        , x2.npages(), " x ", x2.nrows(), " x ", x2.ncols(), ".")
 
    // redefine ratio deviation threshold of vector lengths to ratio of
    // squared vector lengths, cause don't want to calc squareroot everytime.
    // (val1**2/val2**2 - 1) / (val1/val2 - 1) = val1/val2 + 1
    // and with val1~val2                      = 2
    // i.e., (val1**2/val2**2 - 1) ~ 2 * (val1/val2 - 1)
    //
    // with val1/1 = sqrt(vec1/2), hence val1/2**2 = vec1/2
    //       (vec1/vec2 - 1) ~ 2 * (sqrt(vec1)/sqrt(vec2) - 1)
    //       (sqrt(vec1)/sqrt(vec2) - 1) ~ (vec1/vec2 - 1) / 2
    //
    // we want to check: sqrt(vec1)/sqrt(vec2) - 1. < threshold
    // i.e., with the above,
    //       (vec1/vec2 - 1) / 2 < threshold
    //       (vec1/vec2 - 1) < threshold*2
    Numeric th = threshold * 2.;
 
    // No variation at the South pole!
    if (lat_grid[0] == -90) {
      Numeric vec1, vec2;
      for (Index ip = 0; ip < npages; ip++) {
        for (Index ic = 1; ic < ncols; ic++) {
          vec1 = x1(ip, 0, ic) * x1(ip, 0, ic) + x2(ip, 0, ic) * x2(ip, 0, ic);
          vec2 = x1(ip, 0, ic - 1) * x1(ip, 0, ic - 1) +
                 x2(ip, 0, ic - 1) * x2(ip, 0, ic - 1);
          ARTS_USER_ERROR_IF (fabs(vec1 / vec2 - 1.) > th,
            "The variables *", x1_name, "* and *", x2_name
              , "* are assumed\n"
              , "to be two horizontal components of a vector field.\n"
              , "At the pole, the data (here: the total length of\n"
              , "the horizontal vector) can NOT vary with longitude,\n"
              , "but this appears to be the case on the South pole.\n"
              , "The threshold is ", threshold, ", but the actual\n"
              , "deviation at pressure level ", ip, " and longitude\n"
              , "points ", ic - 1, " and ", ic, " is "
              , sqrt(vec1) / sqrt(vec2) - 1.)
        }
      }
    }
    // No variation at the North pole!
    if (lat_grid[nrows - 1] == 90) {
      Numeric vec1, vec2;
      const Index ir = nrows - 1;
      for (Index ip = 0; ip < npages; ip++) {
        for (Index ic = 1; ic < ncols; ic++) {
          vec1 =
              x1(ip, ir, ic) * x1(ip, ir, ic) + x2(ip, ir, ic) * x2(ip, ir, ic);
          vec2 = x1(ip, ir, ic - 1) * x1(ip, ir, ic - 1) +
                 x2(ip, ir, ic - 1) * x2(ip, ir, ic - 1);
          ARTS_USER_ERROR_IF (fabs(vec1 / vec2 - 1.) > th,
            "The variables *", x1_name, "* and *", x2_name
              , "* are assumed\n"
              , "to be two horizontal components of a vector field.\n"
              , "At the pole, the data (here: the total length of\n"
              , "the horizontal vector) can NOT vary with longitude,\n"
              , "but this appears to be the case on the North pole.\n"
              , "The threshold is ", threshold, ", but the actual\n"
              , "deviation at pressure level ", ip, " and longitude\n"
              , "points ", ic - 1, " and ", ic, " is "
              , sqrt(vec1) / sqrt(vec2) - 1.)
        }
      }
    }
  }
}
 
 
void chk_latlon_true(const Index& atmosphere_dim,
                     ConstVectorView lat_grid,
                     ConstVectorView lat_true,
                     ConstVectorView lon_true) {
  if (atmosphere_dim == 1) {
    ARTS_USER_ERROR_IF (lat_true.nelem() != 1 || lon_true.nelem() != 1,
          "For 1D, the method requires that *lat_true* "
          "and *lon_true* have length 1.");
  }
  //
  if (atmosphere_dim == 2) {
    ARTS_USER_ERROR_IF (lat_true.nelem() != lat_grid.nelem() ||
                        lon_true.nelem() != lat_grid.nelem(),
          "For 2D, the method requires that *lat_true* "
          "and *lon_true* have the same length as *lat_grid*.");
  }
}
 
 
void chk_atm_surface(const String& x_name,
                     const Matrix& x,
                     const Index& dim,
                     ConstVectorView lat_grid,
                     ConstVectorView lon_grid) {
  Index ncols = 1, nrows = 1;
  if (dim > 1) nrows = lat_grid.nelem();
  if (dim > 2) ncols = lon_grid.nelem();
  ARTS_USER_ERROR_IF (x.ncols() != ncols || x.nrows() != nrows,
    "The surface variable *", x_name, "* has wrong size.\n"
      , "Expected size is ", nrows, " x ", ncols, ","
      , " while actual size is ", x.nrows(), " x ", x.ncols(), ".")
 
  // Special 3D checks:
  if (dim == 3) {
    // If all lons are covered, check if cyclic
    if ((lon_grid[ncols - 1] - lon_grid[0]) == 360) {
      const Index ic = ncols - 1;
      for (Index ir = 0; ir < nrows; ir++) {
        ARTS_USER_ERROR_IF (!is_same_within_epsilon(x(ir, ic), x(ir, 0), 2 * DBL_EPSILON),
          "The variable *", x_name, "* covers 360 "
            , "degrees in the longitude direction, but the field "
            , "seems to deviate between first and last longitude "
            , "point. The field must be \"cyclic\".")
      }
    }
 
    // No variation at the South pole!
    if (lat_grid[0] == -90) {
      for (Index ic = 1; ic < ncols; ic++) {
        ARTS_USER_ERROR_IF (!is_same_within_epsilon(x(0, ic), x(0, ic - 1), 2 * DBL_EPSILON),
          "The variable *", x_name, "* covers the South "
            , "pole. The data corresponding to the pole can not "
            , "vary with longitude, but this appears to be the "
            , "case.")
      }
    }
    // No variation at the North pole!
    if (lat_grid[nrows - 1] == 90) {
      const Index ir = nrows - 1;
      for (Index ic = 1; ic < ncols; ic++) {
        ARTS_USER_ERROR_IF (!is_same_within_epsilon(
                x(ir, ic), x(ir, ic - 1), 2 * DBL_EPSILON),
          "The variable *", x_name, "* covers the North "
            , "pole. The data corresponding to the pole can not "
            , "vary with longitude, but this appears to be the "
            , "case.")
      }
    }
  }
}
 
/*===========================================================================
  === Functions related to sensor variables.
  ===========================================================================*/
 
 
void chk_rte_pos(const Index& atmosphere_dim,
                 ConstVectorView rte_pos,
                 const bool& is_rte_pos2)
 
{
  String vname = "*rte_pos*";
  if (is_rte_pos2) {
    vname = "*rte_pos2*";
  }
 
  if (atmosphere_dim == 1) {
    if (!is_rte_pos2) {
      ARTS_USER_ERROR_IF (rte_pos.nelem() != 1,
        "For 1D, ", vname, " must have length 1.")
    } else {
      ARTS_USER_ERROR_IF (rte_pos.nelem() != 2,
        "For 1D, ", vname, " must have length 2.")
      ARTS_USER_ERROR_IF (rte_pos[1] < -180 || rte_pos[1] > 180,
        "For 1D, the latitude in ", vname, " must be in the "
          , "range [-180,180].")
    }
  } else if (atmosphere_dim == 2) {
    ARTS_USER_ERROR_IF (rte_pos.nelem() != 2,
      "For 2D, ", vname, " must have length 2.")
  } else {
    ARTS_USER_ERROR_IF (rte_pos.nelem() != 3,
      "For 3D, ", vname, " must have length 3.")
    ARTS_USER_ERROR_IF (rte_pos[1] < -90 || rte_pos[1] > 90,
      "The (3D) latitude in ", vname, " must be in the "
        , "range [-90,90].")
    ARTS_USER_ERROR_IF (rte_pos[2] < -360 || rte_pos[2] > 360,
      "The longitude in ", vname, " must be in the "
        , "range [-360,360].")
  }
}
 
 
void chk_rte_los(const Index& atmosphere_dim, ConstVectorView rte_los)
 
{
  if (atmosphere_dim == 1) {
    ARTS_USER_ERROR_IF (rte_los.nelem() != 1,
                        "For 1D, los-vectors must have length 1.");
    ARTS_USER_ERROR_IF (rte_los[0] < 0 || rte_los[0] > 180,
          "For 1D, the zenith angle of a los-vector must "
          "be in the range [0,180].");
  } else if (atmosphere_dim == 2) {
    ARTS_USER_ERROR_IF (rte_los.nelem() != 1,
          "For 2D, los-vectors must have length 1.");
    ARTS_USER_ERROR_IF (rte_los[0] < -180 || rte_los[0] > 180,
          "For 2D, the zenith angle of a los-vector must "
          "be in the range [-180,180].");
  } else {
    ARTS_USER_ERROR_IF (rte_los.nelem() != 2,
          "For 3D, los-vectors must have length 2.");
    ARTS_USER_ERROR_IF (rte_los[0] < 0 || rte_los[0] > 180,
          "For 3D, the zenith angle of a los-vector must "
          "be in the range [0,180].");
    ARTS_USER_ERROR_IF (rte_los[1] < -180 || rte_los[1] > 180,
          "For 3D, the azimuth angle of a los-vector must "
          "be in the range [-180,180].");
  }
}
 
/*===========================================================================
 === Functions related to GriddedFields.
 ===========================================================================*/
 
 
void chk_griddedfield_gridname(const GriddedField& gf,
                               const Index gridindex,
                               const String& gridname) {
  ARTS_USER_ERROR_IF (gf.get_dim() - 1 < gridindex,
    "Grid index ", gridindex, " exceeds dimension of GriddedField",
    (gf.get_name().nelem()) ? var_string(" \"", gf.get_name(), "\"") : var_string())
 
  String gfgridnameupper = gf.get_grid_name(gridindex);
  gfgridnameupper.toupper();
 
  String gridnameupper = gridname;
  gridnameupper.toupper();
 
  ARTS_USER_ERROR_IF (gfgridnameupper != gridnameupper,
    "Name of grid ", gridindex, " in GriddedField",
    (gf.get_name().nelem()) ? var_string(" \"", gf.get_name(), "\"") : var_string(),
    " is \"", gf.get_grid_name(gridindex), "\".\n"
      , "The expected name is \"", gridname, "\".")
}
 
/*===========================================================================
 === Functions checking sensor
 ===========================================================================*/
 
void chk_met_mm_backend(const Matrix& mmb) {
  ARTS_USER_ERROR_IF (!mmb.nrows(),
    "No channels defined in *met_mm_backend*.");
 
  ARTS_USER_ERROR_IF (mmb.ncols() != 4,
    "*met_mm_backend* must have 4 columns.");
 
  for (Index ch = 0; ch < mmb.nrows(); ch++) {
    Numeric lo = mmb(ch, 0);
    Numeric offset1 = mmb(ch, 1);
    Numeric offset2 = mmb(ch, 2);
    Numeric bandwidth = mmb(ch, 3);
 
    // Negative LO
    ARTS_USER_ERROR_IF (lo < 0.,
      "Error in channel ", ch + 1, " at row ", ch
        , " in *met_mm_backend*.\n"
        , "Center frequency is negative: ", mmb(ch, 0), " Hz")
 
    // Negative offsets
    ARTS_USER_ERROR_IF (offset1 < 0. || offset2 < 0.,
      "Error in channel ", ch + 1, " at row ", ch
        , " in *met_mm_backend*.\n"
        , "Offset is negative:\n"
        , "offset1: ", offset1, " Hz\n"
        , "offset2: ", offset2, " Hz\n")
 
    // First offset is smaller than second offset
    ARTS_USER_ERROR_IF (offset1 != 0. && offset1 <= offset2,
      "Error in channel ", ch + 1, " at row ", ch
        , " in *met_mm_backend*.\n"
        , "First passband offset is smaller than/equal to the second offset:\n"
        , "offset1: ", offset1, " Hz\n"
        , "offset2: ", offset2, " Hz\n")
 
    // Bandwidth too wide, overlap with LO
    ARTS_USER_ERROR_IF (offset1 > 0 && offset1 - offset2 <= bandwidth / 2.,
      "Error in channel ", ch + 1, " at row ", ch
        , " in *met_mm_backend*.\n"
        , "Band touches or overlaps with the center frequency:\n"
        , "offset1                        : ", offset1, " Hz\n"
        , "offset2                        : ", offset2, " Hz\n"
        , "bandwidth                      : ", bandwidth, " Hz\n"
        , "offset1 - offset2 - bandwidth/2: "
        , offset1 - offset2 - bandwidth / 2., " Hz\n")
 
    // Bandwidth too wide, passbands overlap
    ARTS_USER_ERROR_IF (offset2 > 0 && offset2 <= bandwidth / 2.,
      "Error in channel ", ch + 1, " at row ", ch
        , " in *met_mm_backend*.\n"
        , "Bands overlap or touch, offset2 > bandwidth/2:\n"
        , "offset2    : ", offset2, " Hz\n"
        , "bandwidth/2: ", bandwidth / 2., " Hz\n")
 
    // Channel too wide, goes negative
    ARTS_USER_ERROR_IF (lo - offset1 - offset2 - bandwidth / 2. <= 0,
      "Error in channel ", ch + 1, " at row ", ch
        , " in *met_mm_backend*.\n"
        , "Band too wide, reaches/exceeds 0 Hz:\n"
        , "LO                                  : ", lo, " Hz\n"
        , "offset1                             : ", offset1, " Hz\n"
        , "offset2                             : ", offset2, " Hz\n"
        , "bandwidth                           : ", bandwidth, " Hz\n"
        , "LO - offset1 - offset2 - bandwidth/2: "
        , lo - offset1 - offset2 - bandwidth / 2., " Hz\n")
  }
}