SpecialFuncs.hpp

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//==============================================================================
//
//  This file is part of GNSSTk, the ARL:UT GNSS Toolkit.
//
//  The GNSSTk is free software; you can redistribute it and/or modify
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//  This software was developed by Applied Research Laboratories at the
//  University of Texas at Austin.
//  Copyright 2004-2022, The Board of Regents of The University of Texas System
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//==============================================================================
 
//==============================================================================
//
//  This software was developed by Applied Research Laboratories at the
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#ifndef SPECIAL_FUNCTIONS_INCLUDE
#define SPECIAL_FUNCTIONS_INCLUDE
 
#include "Exception.hpp"
 
namespace gnsstk
{
   // ----------------- special functions -------------------------------
 
   double lnGamma(double x);
 
   double Gamma(double x);
 
   double factorial(int n);
 
   double lnFactorial(int n);
 
   double binomialCoeff(int n, int k);
 
   double beta(double x, double y);
 
   double seriesIncompGamma(double a, double x);
 
   double contfracIncompGamma(double a, double x);
 
   double incompGamma(double a, double x);
 
   double compIncompGamma(double a, double x);
 
   double errorFunc(double x);
 
   double compErrorFunc(double x);
 
   // Compute continued fractions portion of incomplete beta function I_x(a,b)
   double cfIBeta(double x, double a, double b);
 
   double incompleteBeta(double x, double a, double b);
 
   // ----------------- probability distributions -----------------------
 
   double NormalPDF(double x, double mu, double sig);
 
   double NormalCDF(double x, double mu, double sig);
 
   double invNormalCDF(double prob, double mu, double sig);
 
   double ChisqPDF(double x, int n);
 
   double ChisqCDF(double x, int n);
 
   double invChisqCDF(double alpha, int n);
 
   double StudentsPDF(double X, int n);
 
   double StudentsCDF(double t, int n);
 
   double invStudentsCDF(double prob, int n);
 
   double FDistCDF(double F, int n1, int n2);
 
   double FDistPDF(double x, int n1, int n2);
 
   double invFDistCDF(double prob, int n1, int n2);
 
} // namespace gnsstk
 
#endif // SPECIAL_FUNCTIONS_INCLUDE