Dumux::Spline< Scalar, numSamples > Class Template Reference

A 3rd order polynomial spline. More...

#include <dumux/common/spline.hh>

Inheritance diagram for Dumux::Spline< Scalar, numSamples >:

Description

template<class Scalar, int numSamples = 2>
class Dumux::Spline< Scalar, numSamples >

A 3rd order polynomial spline.

This class implements a spline $s(x)$ for which, given $n$ sampling points $x_1, \dots, x_n$, the following conditions hold

$$\begin{align*} s(x_i) & = y_i \quad \forall i \in \{1, \dots, n \}\\ s'(x_1) & = m_1 \\ s'(x_n) & = m_n \end{align*}$$

for any given boundary slopes $m_1$ and $m_n$. Alternatively, natural splines are supported which are defined by

$$\begin{align*} s(x_i) & = y_i \quad \forall i \in \{1, \dots, n \} \\ s''(x_1) & = 0 \\ s''(x_n) & = 0 \end{align*}$$

Public Member Functions
	Spline ()
	Default constructor for a spline. More...
template<class ScalarArray >
	Spline (const ScalarArray &x, const ScalarArray &y)
	Convenience constructor for a full spline. More...
template<class PointArray >
	Spline (const PointArray &points)
	Convenience constructor for a full spline. More...
template<class ScalarArray >
	Spline (const ScalarArray &x, const ScalarArray &y, Scalar m0, Scalar m1)
	Convenience constructor for a full spline. More...
template<class PointArray >
	Spline (const PointArray &points, Scalar m0, Scalar m1)
	Convenience constructor for a full spline. More...

Constructor & Destructor Documentation

Spline() [1/5]

template<class Scalar , int numSamples = 2>

Dumux::Spline< Scalar, numSamples >::Spline ( )

inline

Default constructor for a spline.

To specfiy the acutal curve, use one of the set() methods.

Spline() [2/5]

template<class Scalar , int numSamples = 2>

template<class ScalarArray >

Dumux::Spline< Scalar, numSamples >::Spline ( const ScalarArray &  x, const ScalarArray &  y  )

inline

Convenience constructor for a full spline.

Parameters

x	An array containing the $x$ values of the spline's sampling points
y	An array containing the $y$ values of the spline's sampling points

Spline() [3/5]

template<class Scalar , int numSamples = 2>

template<class PointArray >

Dumux::Spline< Scalar, numSamples >::Spline ( const PointArray &  points )

inline

Convenience constructor for a full spline.

Parameters

points

An array of $(x,y)$ tuples of the spline's sampling points

Spline() [4/5]

template<class Scalar , int numSamples = 2>

template<class ScalarArray >

Dumux::Spline< Scalar, numSamples >::Spline ( const ScalarArray &  x, const ScalarArray &  y, Scalar  m0, Scalar  m1  )

inline

Convenience constructor for a full spline.

Parameters

x	An array containing the $x$ values of the spline's sampling points
y	An array containing the $y$ values of the spline's sampling points
m0	The slope of the spline at $x_0$
m1	The slope of the spline at $x_n$

Spline() [5/5]

template<class Scalar , int numSamples = 2>

template<class PointArray >

Dumux::Spline< Scalar, numSamples >::Spline ( const PointArray &  points, Scalar  m0, Scalar  m1  )

inline

Convenience constructor for a full spline.

Parameters

points	An array of $(x,y)$ tuples of the spline's sampling points
m0	The slope of the spline at $x_0$
m1	The slope of the spline at $x_n$

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The documentation for this class was generated from the following file:

• spline.hh