FitToHalfStatistics.h

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//# Copyright (C) 2000,2001
//# Associated Universities, Inc. Washington DC, USA.
//#
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#ifndef SCIMATH_FITTOHALFSTATISTICS_H
#define SCIMATH_FITTOHALFSTATISTICS_H
 
#include <casacore/casa/aips.h>
 
#include <casacore/scimath/StatsFramework/ConstrainedRangeStatistics.h>
#include <casacore/scimath/StatsFramework/FitToHalfStatisticsData.h>
 
namespace casacore {
 
// Class to calculate statistics using the so-called fit to half algorithm. In
// this algorithm, a center value is specified, and only points greater or equal
// or less or equal this value are included. Furthermore, each of the included
// points is reflected about the center value, and these virtual points are
// added to the included points and the union of sets of included real points
// and virtual points are used for computing statistics. The specified center
// point is therefore the mean and median of the resulting distribution, and the
// total number of points is exactly twice the number of real data points that
// are included.
//
// This class uses a ConstrainedRangeQuantileComputer object for computing
// quantile-like statistics. See class documentation for StatisticsAlgorithm for
// details regarding QuantileComputer classes.
 
template <
    class AccumType, class DataIterator, class MaskIterator=const Bool *,
    class WeightsIterator=DataIterator
>
class FitToHalfStatistics
    : public ConstrainedRangeStatistics<CASA_STATP> {
public:
 
    const static AccumType TWO;
 
    // <src>value</src> is only used if <src>center</src>=CVALUE
    FitToHalfStatistics(
        FitToHalfStatisticsData::CENTER center=FitToHalfStatisticsData::CMEAN,
        FitToHalfStatisticsData::USE_DATA useData
        =FitToHalfStatisticsData::LE_CENTER, AccumType value=0
    );
 
    // copy semantics
    FitToHalfStatistics(const FitToHalfStatistics<CASA_STATP>& other);
 
    virtual ~FitToHalfStatistics();
 
    // copy semantics
    FitToHalfStatistics<CASA_STATP>& operator=(
        const FitToHalfStatistics<CASA_STATP>& other
    );
 
    // Clone this instance. Caller is responsible for deleting the returned
    // pointer.
    virtual StatisticsAlgorithm<CASA_STATP>* clone() const;
 
    // get the algorithm that this object uses for computing stats
    virtual StatisticsData::ALGORITHM algorithm() const {
        return StatisticsData::FITTOHALF;
    };
 
    // The median is just the center value, so none of the parameters to this
    // method are used.
    AccumType getMedian(
        CountedPtr<uInt64> knownNpts=nullptr,
        CountedPtr<AccumType> knownMin=nullptr,
        CountedPtr<AccumType> knownMax=nullptr,
        uInt binningThreshholdSizeBytes=4096*4096,
        Bool persistSortedArray=False, uInt nBins=10000
    );
 
    // <group>
    // In the following group of methods, if the size of the composite dataset
    // is smaller than <src>binningThreshholdSizeBytes</src>, the composite
    // dataset will be (perhaps partially) sorted and persisted in memory during
    // the call. In that case, and if <src>persistSortedArray</src> is True,
    // this sorted array will remain in memory after the call and will be used
    // on subsequent calls of this method when
    // <src>binningThreshholdSizeBytes</src> is greater than the size of the
    // composite dataset. If <src>persistSortedArray</src> is False, the sorted
    // array will not be stored after this call completes and so any subsequent
    // calls for which the dataset size is less than
    // <src>binningThreshholdSizeBytes</src>, the dataset will be sorted from
    // scratch. Values which are not included due to non-unity strides, are not
    // included in any specified ranges, are masked, or have associated weights
    // of zero are not considered as dataset members for quantile computations.
    // If one has a priori information regarding the number of points (npts)
    // and/or the minimum and maximum values of the data set, these can be
    // supplied to improve performance. Note however, that if these values are
    // not correct, the resulting median and/or quantile values will also not be
    // correct (although see the following notes regarding max/min). Note that
    // if this object has already had getStatistics() called, and the min and
    // max were calculated, there is no need to pass these values in as they
    // have been stored internally and will be used (although passing them
    // explicitly shouldn't hurt anything). If provided, npts, the number of
    // points falling in the specified ranges which are not masked and have
    // weights > 0, should be correct. <src>min</src> can be less than the true
    // minimum, and <src>max</src> can be greater than the True maximum, but for
    // best performance, these should be as close to the actual min and max as
    // possible (and ideally the actual min/max values of the data set).
    AccumType getMedianAndQuantiles(
        std::map<Double, AccumType>& quantiles,
        const std::set<Double>& fractions,
        CountedPtr<uInt64> knownNpts=nullptr,
        CountedPtr<AccumType> knownMin=nullptr,
        CountedPtr<AccumType> knownMax=nullptr,
        uInt binningThreshholdSizeBytes=4096*4096,
        Bool persistSortedArray=False, uInt nBins=10000
    );
 
    // get the median of the absolute deviation about the median of the data.
    AccumType getMedianAbsDevMed(
        CountedPtr<uInt64> knownNpts=nullptr,
        CountedPtr<AccumType> knownMin=nullptr,
        CountedPtr<AccumType> knownMax=nullptr,
        uInt binningThreshholdSizeBytes=4096*4096,
        Bool persistSortedArray=False, uInt nBins=10000
    );
 
    // Get the specified quantiles. <src>fractions</src> must be between 0 and
    // 1, noninclusive.
    std::map<Double, AccumType> getQuantiles(
        const std::set<Double>& fractions,
        CountedPtr<uInt64> knownNpts=nullptr,
        CountedPtr<AccumType> knownMin=nullptr,
        CountedPtr<AccumType> knownMax=nullptr,
        uInt binningThreshholdSizeBytes=4096*4096,
        Bool persistSortedArray=False, uInt nBins=10000
    );
    // </group>
 
    // scan the dataset(s) that have been added, and find the min and max.
    // This method may be called even if setStatsToCaclulate has been called and
    // MAX and MIN has been excluded.
    virtual void getMinMax(AccumType& mymin, AccumType& mymax);
 
    // scan the dataset(s) that have been added, and find the number of good
    // points. This method may be called even if setStatsToCaclulate has been
    // called and NPTS has been excluded. If setCalculateAsAdded(True) has
    // previously been called after this object has been (re)initialized, an
    // exception will be thrown.
    uInt64 getNPts();
 
    // reset object to initial state. Clears all private fields including data,
    // accumulators, global range. It does not affect the center type, center
    // value, or which "side" to use which were set at construction.
    virtual void reset();
 
    // This class does not allow statistics to be calculated as datasets are
    // added, so an exception will be thrown if <src>c</src> is True.
    void setCalculateAsAdded(Bool c);
 
    // Override base class method by requiring mean to be computed in addition
    // to what is added in stats if the requested center value is CMEAN.
    virtual void setStatsToCalculate(std::set<StatisticsData::STATS>& stats);
 
protected:
 
    virtual StatsData<AccumType> _getInitialStats() const;
 
    virtual StatsData<AccumType> _getStatistics();
 
    inline StatsData<AccumType>& _getStatsData() { return _statsData; }
 
    inline const StatsData<AccumType>& _getStatsData() const {
        return _statsData;
    }
 
    // <group>
    // no weights, no mask, no ranges
    void _unweightedStats(
        StatsData<AccumType>& stats, uInt64& ngood, LocationType& location,
        const DataIterator& dataBegin, uInt64 nr, uInt dataStride
    );
 
    // no weights, no mask
    void _unweightedStats(
        StatsData<AccumType>& stats, uInt64& ngood, LocationType& location,
        const DataIterator& dataBegin, uInt64 nr, uInt dataStride,
        const DataRanges& ranges, Bool isInclude
    );
 
    void _unweightedStats(
        StatsData<AccumType>& stats, uInt64& ngood, LocationType& location,
        const DataIterator& dataBegin, uInt64 nr, uInt dataStride,
        const MaskIterator& maskBegin, uInt maskStride
    );
 
    void _unweightedStats(
        StatsData<AccumType>& stats, uInt64& ngood, LocationType& location,
        const DataIterator& dataBegin, uInt64 nr, uInt dataStride,
        const MaskIterator& maskBegin, uInt maskStride,
        const DataRanges& ranges, Bool isInclude
    );
    // </group>
 
    void _updateDataProviderMaxMin(const StatsData<AccumType>& threadStats);
    
    // <group>
    // has weights, but no mask, no ranges
    void _weightedStats(
        StatsData<AccumType>& stats, LocationType& location,
        const DataIterator& dataBegin, const WeightsIterator& weightsBegin,
        uInt64 nr, uInt dataStride
    );
 
    void _weightedStats(
        StatsData<AccumType>& stats, LocationType& location,
        const DataIterator& dataBegin, const WeightsIterator& weightsBegin,
        uInt64 nr, uInt dataStride, const DataRanges& ranges, Bool isInclude
    );
 
    void _weightedStats(
        StatsData<AccumType>& stats, LocationType& location,
        const DataIterator& dataBegin, const WeightsIterator& weightBegin,
        uInt64 nr, uInt dataStride, const MaskIterator& maskBegin,
        uInt maskStride
    );
 
    void _weightedStats(
        StatsData<AccumType>& stats, LocationType& location,
        const DataIterator& dataBegin, const WeightsIterator& weightBegin,
        uInt64 nr, uInt dataStride, const MaskIterator& maskBegin,
        uInt maskStride, const DataRanges& ranges, Bool isInclude
    );
    // </group>
 
private:
    FitToHalfStatisticsData::CENTER _centerType;
    Bool _useLower;
    AccumType _centerValue;
    StatsData<AccumType> _statsData;
    Bool _doMedAbsDevMed{False}, _rangeIsSet{False};
    // these are the max and min for the real portion of the dataset
    CountedPtr<AccumType> _realMax{}, _realMin{};
    Bool _isNullSet{False};
    // This is used for convenience and performance. It should always
    // be the same as the _range value used in the base
    // ConstrainedRangeStatistics object
    CountedPtr<std::pair<AccumType, AccumType> > _range{nullptr};
 
    // get the min max of the entire (real + virtual) data set. Only
    // used for quantile computation
    void _getMinMax(
        CountedPtr<AccumType>& realMin, CountedPtr<AccumType>& realMax,
        CountedPtr<AccumType> knownMin, CountedPtr<AccumType> knownMax
    );
 
    // get the min/max of the real portion only of the dataset
    void _getRealMinMax(AccumType& realMin, AccumType& realMax);
 
    void _setRange();
 
};
 
}
 
#ifndef CASACORE_NO_AUTO_TEMPLATES
#include <casacore/scimath/StatsFramework/FitToHalfStatistics.tcc>
#endif 
 
#endif