SpatialBinSelector.h

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/*
 * (C) Copyright 2019 Met Office UK
 *
 * This software is licensed under the terms of the Apache Licence Version 2.0
 * which can be obtained at http://www.apache.org/licenses/LICENSE-2.0.
 */
 
#ifndef UFO_UTILS_SPATIALBINSELECTOR_H_
#define UFO_UTILS_SPATIALBINSELECTOR_H_
 
#include <cmath>
#include <vector>
 
#include "ufo/utils/Constants.h"
#include "ufo/utils/EquispacedBinSelector.h"
 
namespace ufo {
 
enum class SpatialBinCountRoundingMode {
  DOWN,    //< Round down
  NEAREST  //< Round to the nearest integer
};
 
/// \brief Represents a partition of a sphere into a number of subsets (_bins_).
class SpatialBinSelector {
 public:
  // If necessary, these could be made template parameters.
  typedef float ValueType;
  typedef int IndexType;
 
 private:
  static constexpr ValueType latitudeLowerBound_ = -90;
  static constexpr ValueType latitudeUpperBound_ = 90;
  static constexpr ValueType longitudeLowerBound_ = 0;
  static constexpr ValueType longitudeUpperBound_ = 360;
 
 public:
  /// \brief Partition a sphere into bins whose centers lie on a reduced Gaussian grid.
  ///
  /// \param numLatitudeBins
  ///   The number of zonal bands of bins into which the sphere is split.
  /// \param roundingMode
  ///   - If set to NEAREST, the number of bins in each zonal band is chosen so that the bin width
  ///     in the zonal direction is as close as possible to that in the meridional direction.
  ///   - If set to DOWN, the number of bins is chosen so that the bin width in the zonal direction
  ///     is as small as possible, but no smaller than in the meridional direction.
  SpatialBinSelector(IndexType numLatitudeBins, SpatialBinCountRoundingMode roundingMode);
 
  /// \brief Partition a sphere into bins whose centers lie on a regular Gaussian grid.
  ///
  /// \param numLatitudeBins
  ///   The number of zonal bands of bins into which the sphere is split.
  /// \param numLongitudeBins
  ///   The number of meridional bands of bins into which the sphere is split.
  SpatialBinSelector(IndexType numLatitudeBins, IndexType numLongitudeBins);
 
  /// \brief Return the index of the zonal band of bins containing points with a given latitude
  /// (in degrees, assumed to lie in the interval [-90, 90]).
  IndexType latitudeBin(ValueType latitude) const {
    return latitudeBinSelector_.bin(latitude);
  }
 
  /// \brief Return the index of the bin within the zonal band of index \p latitudeBin
  /// containing points with a given latitude (in degrees, assumed to lie in the interval [0, 360)).
  IndexType longitudeBin(IndexType latitudeBin, ValueType longitude) const {
    return longitudeBinSelectors_[latitudeBin].bin(longitude);
  }
 
  /// \brief Return the latitude at the center of the zonal band of bins with index \p latitudeBin.
  ValueType latitudeBinCenter(IndexType latitudeBin) const {
    return latitudeBinSelector_.binCenter(latitudeBin);
  }
 
  /// \brief Return the longitude at the center of the bin with index \p latitudeBin lying in the
  /// zonal band of bins with index \p latitudeBin.
  ValueType longitudeBinCenter(IndexType latitudeBin, IndexType longitudeBin) const {
    return longitudeBinSelectors_[latitudeBin].binCenter(longitudeBin);
  }
 
  /// \brief Return the number of bins into which the sphere is split.
  IndexType totalNumBins() const;
 
  /// \brief Return the width of each zonal band of bins.
  ValueType latitudeBinWidth() const {
    return latitudeBinSelector_.binWidth();
  }
 
  /// \brief Return the zonal width of each bin in the band of bins with index \p latitudeBin.
  ValueType longitudeBinWidth(IndexType latitudeBin) const {
    return longitudeBinSelectors_[latitudeBin].binWidth();
  }
 
  /// \brief Return the inverse of the width of each zonal band of bins.
  ValueType inverseLatitudeBinWidth() const {
    return latitudeBinSelector_.inverseBinWidth();
  }
 
  /// \brief Return the inverse of the zonal width of each bin in the band of bins with index
  /// \p latitudeBin.
  ValueType inverseLongitudeBinWidth(IndexType latitudeBin) const {
    return longitudeBinSelectors_[latitudeBin].inverseBinWidth();
  }
 
  /// \brief Return \p idealNumBins rounded to a positive integer according to the rounding
  /// strategy \p roundingMode.
  static IndexType roundNumBins(float idealNumBins, SpatialBinCountRoundingMode roundingMode);
 
 private:
  EquispacedBinSelector latitudeBinSelector_;
  std::vector<EquispacedBinSelector> longitudeBinSelectors_;
};
 
}  // namespace ufo
 
#endif  // UFO_UTILS_SPATIALBINSELECTOR_H_