ExtendedMath.h

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#ifndef EXTENDEDMATH_H
#define EXTENDEDMATH_H

#ifdef HIGH_PRECISION
    typedef long double Mdouble;
#else 
    typedef double Mdouble;
#endif

#define sqr(a) ((a)*(a))
#define cubic(a) ((a)*(a)*(a))
#define UNUSED  __attribute__ ((__unused__))
//#define UNUSED
#include <algorithm>
//#include <cmath>

/*
inline bool isnan(double x)
{
    return (x != x);
}
 */

namespace constants
{
    //Values from WolframAlpha
    const Mdouble pi        =3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117068;
    const Mdouble sqrt_pi   =1.772453850905516027298167483341145182797549456122387128213807789852911284591032181374950656738544665;
    const Mdouble sqr_pi    =9.869604401089358618834490999876151135313699407240790626413349376220044822419205243001773403718552232;
    const Mdouble sqrt_2    =1.414213562373095048801688724209698078569671875376948073176679737990732478462107038850387534327641573;
    const Mdouble sqrt_3    =1.732050807568877293527446341505872366942805253810380628055806979451933016908800037081146186757248576;
}

namespace mathsFunc
{
    
    Mdouble gamma(Mdouble gamma_in);
    
    Mdouble chi_squared(Mdouble x, int k);
    
    Mdouble chi_squared_prob(Mdouble x,int k);
    
    template <typename T> int sign(T val)
    {
        return (T(0) < val) - (val < T(0));
    }   
}

namespace besselFunc
{
    
    Mdouble chebyshev(Mdouble x, const Mdouble coef[], int N);
    
    Mdouble I0_exp(Mdouble x);
    
    Mdouble I0(Mdouble x);
    
}


namespace helperFunc
{
    
    class KAndDisp {
      public:
        Mdouble k;
        Mdouble disp;   
    };

    KAndDisp computeKAndDispFromCollisionTimeAndRestitutionCoefficientAndEffectiveMass(Mdouble tc, Mdouble r, Mdouble mass);

    class KAndDispAndKtAndDispt {
      public:
        Mdouble k;
        Mdouble disp;   
        Mdouble kt;
        Mdouble dispt;  
    };

    KAndDispAndKtAndDispt computeDisptFromCollisionTimeAndRestitutionCoefficientAndTangentialRestitutionCoefficientAndEffectiveMass(Mdouble tc, Mdouble r, Mdouble beta, Mdouble mass);


    Mdouble getCollisionTime(Mdouble k, Mdouble disp, Mdouble mass);

    Mdouble getRestitutionCoefficient(Mdouble k, Mdouble disp, Mdouble mass);

    Mdouble getMaximumVelocity(Mdouble k, Mdouble disp, Mdouble radius, Mdouble mass);

}



#include <sstream>
#include <iostream>
void getLineFromStringStream(std::istream& in, std::stringstream& out);

#endif