LegendrePoly.h File Reference

#include <cmath>

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Namespaces
namespace	MuonCalib
	CscCalcPed - algorithm that finds the Cathode Strip Chamber pedestals from an RDO.
namespace	MuonCalib::Legendre

Macros
#define	POLYSWITCH(order, x)
#define	DERIVPOLYSWITICH(l, d, x)
#define	DERIVORDERSWITCH(l, d, x)

Functions
constexpr unsigned long	MuonCalib::factorial (const int n)
	Evaluated the n-th factorial at compile time.
constexpr unsigned long	MuonCalib::binomial (const unsigned n, const unsigned k)
	Calculates the binomial coefficient at compile time.
template<int k>
constexpr double	MuonCalib::pow (const double x)
	Calculate the power of a variable x at compile time.
constexpr double	MuonCalib::pow (double x, int power)
	Calculate the power of a variable at run time.
constexpr double	MuonCalib::Legendre::coeff (const unsigned l, const unsigned k)
	Calculates the n-th coefficient of the legendre polynomial series.
template<unsigned l, unsigned k>
constexpr double	MuonCalib::Legendre::polySum (const double x)
	Assembles the sum of the legendre monomials.
template<unsigned l, unsigned k, unsigned d>
constexpr double	MuonCalib::Legendre::derivativeSum (const double x)
	Assembles the n-th derivative of the legendre polynomial.
constexpr double	MuonCalib::Legendre::derivativeSum (const unsigned l, const unsigned d, const double x)
	Assembles the n-th derivative of a legendre polynomial at run time.
constexpr double	MuonCalib::Legendre::polySum (const unsigned l, const double x)
	Assembles the legendre polynomial at run-time.
template<unsigned l>
constexpr double	MuonCalib::Legendre::poly (const double x)
	Evaluates the n-th Legendre polynomial at x.
template<unsigned l, unsigned d>
constexpr double	MuonCalib::Legendre::derivative (const double x)
	Evaluates the d-th derivative of the n-th Legendre polynomial at x.
constexpr double	MuonCalib::legendrePoly (const unsigned l, const double x)
	Calculates the legendre polynomial of rank l at x.
constexpr double	MuonCalib::legendreDeriv (const unsigned l, const unsigned d, const double x)
	Evaluates the n-th derivative of the l-th Legendre polynomial.

Macro Definition Documentation

DERIVORDERSWITCH

#define DERIVORDERSWITCH	(		l,
			d,
			x )

Value:

    case d: {                                  \
        switch (l) {                           \
            DERIVPOLYSWITICH(0, d, x)          \
            DERIVPOLYSWITICH(1, d, x)          \
            DERIVPOLYSWITICH(2, d, x)          \
            DERIVPOLYSWITICH(3, d, x)          \
            DERIVPOLYSWITICH(4, d, x)          \
            DERIVPOLYSWITICH(5, d, x)          \
            DERIVPOLYSWITICH(6, d, x)          \
            DERIVPOLYSWITICH(7, d, x)          \
            DERIVPOLYSWITICH(8, d, x)          \
            DERIVPOLYSWITICH(9, d, x)          \
            DERIVPOLYSWITICH(10, d, x)         \
            DERIVPOLYSWITICH(11, d, x)         \
            DERIVPOLYSWITICH(12, d, x)         \
            DERIVPOLYSWITICH(13, d, x)         \
            DERIVPOLYSWITICH(14, d, x)         \
            DERIVPOLYSWITICH(15, d, x)         \
            DERIVPOLYSWITICH(16, d, x)         \
            default:                           \
                break;                         \
        }                                      \
        break;                                 \
    }

Definition at line 21 of file LegendrePoly.h.

#define DERIVORDERSWITCH(l, d, x)              \
    case d: {                                  \
        switch (l) {                           \
            DERIVPOLYSWITICH(0, d, x)          \
            DERIVPOLYSWITICH(1, d, x)          \
            DERIVPOLYSWITICH(2, d, x)          \
            DERIVPOLYSWITICH(3, d, x)          \
            DERIVPOLYSWITICH(4, d, x)          \
            DERIVPOLYSWITICH(5, d, x)          \
            DERIVPOLYSWITICH(6, d, x)          \
            DERIVPOLYSWITICH(7, d, x)          \
            DERIVPOLYSWITICH(8, d, x)          \
            DERIVPOLYSWITICH(9, d, x)          \
            DERIVPOLYSWITICH(10, d, x)         \
            DERIVPOLYSWITICH(11, d, x)         \
            DERIVPOLYSWITICH(12, d, x)         \
            DERIVPOLYSWITICH(13, d, x)         \
            DERIVPOLYSWITICH(14, d, x)         \
            DERIVPOLYSWITICH(15, d, x)         \
            DERIVPOLYSWITICH(16, d, x)         \
            default:                           \
                break;                         \
        }                                      \
        break;                                 \
    }

DERIVPOLYSWITICH

#define DERIVPOLYSWITICH	(		l,
			d,
			x )

Value:

    case l: {                                  \
        return Legendre::derivative<l,d>(x);   \
        break;                                 \
    }                                          \

Definition at line 14 of file LegendrePoly.h.

#define DERIVPOLYSWITICH(l, d, x)              \
    case l: {                                  \
        return Legendre::derivative<l,d>(x);   \
        break;                                 \
    }                                          \
 

POLYSWITCH

#define POLYSWITCH	(		order,
			x )

Value:

    case order: {                         \
         return Legendre::poly<order>(x); \
         break;                           \
    }

Definition at line 9 of file LegendrePoly.h.

#define POLYSWITCH(order , x)             \
    case order: {                         \
         return Legendre::poly<order>(x); \
         break;                           \
    }