multiNormal.H

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License
    This file is part of OpenFOAM.
 
    OpenFOAM 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 3 of the License, or
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    You should have received a copy of the GNU General Public License
    along with OpenFOAM.  If not, see <http://www.gnu.org/licenses/>.
 
Class
    Foam::distributions::multiNormal
 
Description
    Multiple superimposed normal distributions
 
    \f[
        PDF(x) = \sum_i S_i \frac{1}{\sigma_i \sqrt{2 \pi}} \\
        \exp \left( \frac{1}{2} \left( \frac{x - \mu_i}{\sigma_i} \\
        \right)^2 \right)
    \f]
 
Usage
    Example usage:
    \verbatim
    {
        type    multiNormal;
        Q       0;
        min     0.001;
        max     0.019;
        mu      (0.005 0.011 0.015);
        sigma   (0.002 0.001 0.0015);
        strength (2 1 3);
    }
    \endverbatim
 
SourceFiles
    multiNormal.C
 
See also
    Foam::distribution
    Foam::distributions::normal
 
\*---------------------------------------------------------------------------*/
 
#ifndef multiNormal_H
#define multiNormal_H
 
#include "normal.H"
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
namespace Foam
{
namespace distributions
{
 
/*---------------------------------------------------------------------------*\
                        Class multiNormal Declaration
\*---------------------------------------------------------------------------*/
 
class multiNormal
:
    public FieldDistribution<unintegrableForNonZeroQ, multiNormal>
{
    // Private Data
 
        //- Relative strengths of the different distributions
        const scalarList cumulativeStrengths_;
 
        //- Normal distributions
        PtrList<normal> distributions_;
 
 
    // Private Member Functions
 
        //- Normalise the strengths
        static scalarList readCumulativeStrengths(const dictionary& dict);
 
        //- Return values of the un-multiNormalised PDF for the given size
        //  exponent and x-coordinates.
        virtual tmp<scalarField> phi
        (
            const label q,
            const scalarField& x
        ) const;
 
        //- Return values of the un-multiNormalised CDF for the given size
        //  exponent and x-coordinates.
        virtual tmp<scalarField> Phi
        (
            const label q,
            const scalarField& x
        ) const;
 
 
public:
 
    //- Runtime type information
    TypeName("multiNormal");
 
 
    // Constructors
 
        //- Construct from a dictionary
        multiNormal
        (
            const unitConversion& units,
            const dictionary& dict,
            const label sampleQ,
            randomGenerator&& rndGen
        );
 
        //- Construct copy
        multiNormal(const multiNormal& d, const label sampleQ);
 
        //- Construct and return a clone
        virtual autoPtr<distribution> clone(const label sampleQ) const
        {
            return autoPtr<distribution>(new multiNormal(*this, sampleQ));
        }
 
 
    //- Destructor
    virtual ~multiNormal();
 
 
    // Member Functions
 
        //- Sample the distribution
        virtual scalar sample() const;
 
        //- Sample the distribution
        using FieldDistribution<unintegrableForNonZeroQ, multiNormal>::sample;
 
        //- Return the minimum value
        virtual scalar min() const;
 
        //- Return the maximum value
        virtual scalar max() const;
 
        //- Write stream
        virtual void write(Ostream& os, const unitConversion& units) const;
 
        //- Return coordinates to plot across the range of the distribution
        virtual tmp<scalarField> x(const label n) const;
};
 
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
} // End namespace distributions
} // End namespace Foam
 
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
#endif
 
// ************************************************************************* //