utlMath.h File Reference

#include <tr1/cmath>
#include "utlCore.h"
#include "utlConstants.h"

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Namespaces
	utl

Typedefs
typedef double(*	utl::Func1To1) (double)

Functions
template<typename T >
T	utl::Binomial (const T v1, const int times)
template<class TVector1 , class TVector2 , class TVector3 >
double	utl::CrossProduct (const TVector1 &v1, const TVector2 &v2, TVector3 &v3)
double	utl::DawsonF (double x)
template<class TMatrixType >
auto	utl::DeterminantSmallMatrix (const TMatrixType &mat, const int row) -> utl::remove_reference_t< decltype(mat(0, 0))>
template<class TVector1 , class TVector2 >
double	utl::DotProduct (const TVector1 &v1, const TVector2 &v2, const int N1)
template<class VectorType >
double	utl::Entropy (const VectorType &pdfVec, const int N)
double	utl::Erf (double x)
double	utl::Erfi (double x, Func1To1 expF=&std::exp)
double	utl::ExpNegtiveLUT (const double dist, const double distMax=30.0, const int precision=1000)
unsigned long	utl::Factorial (const int n)
template<typename T >
T	utl::Factorial (const T v1, const int times)
double	utl::GammaHalfInteger (const double x)
std::vector< double >	utl::GetCoefLaguerre (const int n, const double a=0.5)
std::vector< double >	utl::GetCoefLaguerreProduct (const int n1, const double a1, const int n2, const double a2)
double	utl::GetExpLegendreCoef (const double a, const int l, Func1To1 expF=&std::exp)
double	utl::GetExpLegendreCoefDerivative (const double a, const int l, Func1To1 expF=&std::exp)
template<class TVector1 , class TVector2 >
double	utl::InnerProduct (const TVector1 &v1, const TVector2 &v2, const int N1)
template<class TMatrixType >
void	utl::InverseSmallMatrix (const TMatrixType &mat, TMatrixType &result, const int row)
double	utl::LegendrePolynomialAt0 (const int order)
template<class TVector1 , class TVector2 , class TMatrix >
void	utl::OuterProduct (const TVector1 &v1, const int N1, const TVector2 &v2, const int N2, TMatrix &mat)
template<class TVector1 , class TMatrix >
void	utl::OuterProduct (const TVector1 &v1, const int N1, TMatrix &mat)
std::vector< std::complex< double > >	utl::PolynomialRoot (const std::vector< double > &coef)
double	utl::PowHalfInteger (const double a, const double b)
double	utl::PowInteger (const double a, const int b)
template<class TMatrix1 , class TMatrix2 , class TMatrix3 >
void	utl::ProductMM (const TMatrix1 &mat1, int rows, int cols, const TMatrix2 &mat2, int cols2, TMatrix3 &mat3)
template<class TMatrix , class TVector1 , class TVector2 >
void	utl::ProductMv (const TMatrix &mat, int rows, int cols, const TVector1 &v1, TVector2 &v2)
template<class TVector1 , class TMatrix , class TVector2 >
void	utl::ProductvM (const TVector1 &v1, int rows, const TMatrix &mat, int cols, TVector2 &v2)
template<class TVector1 >
double	utl::SquaredTwoNorm (const TVector1 &v1, const int N1)
double	utl::w_im (double x)
static double	utl::w_im_y100 (double y100, double x)

Variables
static const double	utl::BesselJPrimeZerosOrder1 [60]
static const double	utl::BesselJPrimeZerosTable []
static const unsigned long	utl::FactorialTable [21]
static const double	utl::GammaHalfIntegerTable [30]

Detailed Description

Author

Dr. Jian Cheng (JC), jian..nosp@m.chen.nosp@m.g.198.nosp@m.3@gm.nosp@m.ail.c.nosp@m.om

Definition in file utlMath.h.