nc::integrate Namespace Reference

Data Structures
class	LegendrePolynomial

Functions
double	gauss_legendre (const double low, const double high, const uint32 n, const std::function< double(double)> &f)
double	romberg (const double low, const double high, const uint8 n, const std::function< double(double)> &f)
double	simpson (const double low, const double high, const uint32 n, const std::function< double(double)> &f) noexcept
double	trapazoidal (const double low, const double high, const uint32 n, const std::function< double(double)> &f) noexcept

Function Documentation

gauss_legendre()

double nc::integrate::gauss_legendre ( const double  low, const double  high, const uint32  n, const std::function< double(double)> &  f  )

inline

Performs Gauss-Legendre integration of the input function

Parameters

low	the lower bound of the integration
high	the upper bound of the integration
n	the number of iterations to perform
f	the function to integrate over

Returns

double

romberg()

double nc::integrate::romberg ( const double  low, const double  high, const uint8  n, const std::function< double(double)> &  f  )

inline

Performs Newton-Cotes Romberg integration of the input function

Parameters

low	the lower bound of the integration
high	the upper bound of the integration
n	the number of iterations
f	the function to integrate over

Returns

double

simpson()

double nc::integrate::simpson ( const double  low, const double  high, const uint32  n, const std::function< double(double)> &  f  )

inlinenoexcept

Performs Newton-Cotes Simpson integration of the input function

Parameters

low	the lower bound of the integration
high	the upper bound of the integration
n	the number of subdivisions
f	the function to integrate over

Returns

double

trapazoidal()

double nc::integrate::trapazoidal ( const double  low, const double  high, const uint32  n, const std::function< double(double)> &  f  )

inlinenoexcept

Performs Newton-Cotes trapazoidal integration of the input function

Parameters

low	the lower bound of the integration
high	the upper bound of the integration
n	the number of subdivisions
f	the function to integrate over

Returns

double