Beta.h

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//* This file is part of the MOOSE framework
//* https://mooseframework.inl.gov
//*
//* All rights reserved, see COPYRIGHT for full restrictions
//* https://github.com/idaholab/moose/blob/master/COPYRIGHT
//*
//* Licensed under LGPL 2.1, please see LICENSE for details
//* https://www.gnu.org/licenses/lgpl-2.1.html

#pragma once

#include "Distribution.h"

class Beta : public Distribution
{
public:
  static InputParameters validParams();

  Beta(const InputParameters & parameters);

  virtual Real pdf(const Real & x) const override;
  virtual Real cdf(const Real & x) const override;
  virtual Real quantile(const Real & p) const override;

  static Real pdf(const Real & x, const Real & alpha, const Real & beta);
  static Real cdf(const Real & x, const Real & alpha, const Real & beta);
  static Real quantile(const Real & p, const Real & alpha, const Real & beta);

  static Real betaFunction(const Real & a, const Real & b);
  static Real incompleteBeta(const Real & a, const Real & b, const Real & x);
  static Real incompleteBetaInv(const Real & a, const Real & b, const Real & p);

protected:
  const Real & _alpha;
  const Real & _beta;
};