Lagrange interpolation with N_order. More...

#include <interpolation.hpp>

Static Public Member Functions
static T_real	LagBase (const int &num, const T_real &xp, const Array1< T_real > &x)
	Base function of Lagrange interpolation. More...

static Range	LagRange (const int &ind, const int &N)
	index range of interpolate points for N_order More...

static T_real	Interp3D (const Vec< T_real, 3 > &pos, const Array1< T_real > &X, const Array1< T_real > &Y, const Array1< T_real > &Z, const Array< T_real, 3 > &field)
	kernel function of 3D interpolation More...

static T_real	Interp2D (const Vec< T_real, 2 > &pos, const Array1< T_real > &X, const Array1< T_real > &Y, const Array< T_real, 2 > &field)
	kernel function of 2D interpolation More...

static T_real	Interp1D (const Vec< T_real, 1 > &pos, const Array1< T_real > &X, const Array< T_real, 1 > &field)
	kernel function of 1D interpolation More...

static T_real	Interpolate3D (const Vec< T_real, 3 > &pos, const Array1< T_real > &X, const Array1< T_real > &Y, const Array1< T_real > &Z, const Array< T_real, 3 > &field)
	3D interpolation More...

static T_real	Interpolate2D (const Vec< T_real, 2 > &pos, const Array1< T_real > &X, const Array1< T_real > &Y, const Array< T_real, 2 > &field)
	2D interpolation More...

static T_real	Interpolate1D (const Vec< T_real, 1 > &pos, const Array1< T_real > &X, const Array< T_real, 1 > &field)
	1D interpolation More...

static T_real	Interpolate3D (T_real pos[], T_real X[], T_real Y[], T_real Z[], T_real field[], const int nx, const int ny, const int nz)
	3D interpolation More...

static T_real	Interpolate2D (T_real pos[], T_real X[], T_real Y[], T_real field[], const int nx, const int ny)
	2D interpolation More...

static T_real	Interpolate1D (T_real &pos, T_real X[], T_real field[], const int nx)
	1D interpolation More...

Static Public Attributes
static const int	order = N_order

Detailed Description

template<typename T_real = double, int N_order = 2>
struct interp::InterpLagrangeCart< T_real, N_order >

Lagrange interpolation with N_order.

Template Parameters

T_real	type of real, default double
N_order	order of interpolation

Member Function Documentation

◆ Interp1D()

template<typename T_real = double, int N_order = 2>

static T_real interp::InterpLagrangeCart< T_real, N_order >::Interp1D	(	const Vec< T_real, 1 > &	pos,
		const Array1< T_real > &	X,
		const Array< T_real, 1 > &	field
	)

inlinestatic

kernel function of 1D interpolation

Parameters

pos	particle position
X	interpolate nodes,x
field	values at interpolate nodes

Returns: T_real

◆ Interp2D()

template<typename T_real = double, int N_order = 2>

static T_real interp::InterpLagrangeCart< T_real, N_order >::Interp2D	(	const Vec< T_real, 2 > &	pos,
		const Array1< T_real > &	X,
		const Array1< T_real > &	Y,
		const Array< T_real, 2 > &	field
	)

inlinestatic

kernel function of 2D interpolation

Parameters

pos	particle position
X	interpolate nodes,x
Y	interpolate nodes,y
field	values at interpolate nodes

Returns: T_real

◆ Interp3D()

template<typename T_real = double, int N_order = 2>

static T_real interp::InterpLagrangeCart< T_real, N_order >::Interp3D	(	const Vec< T_real, 3 > &	pos,
		const Array1< T_real > &	X,
		const Array1< T_real > &	Y,
		const Array1< T_real > &	Z,
		const Array< T_real, 3 > &	field
	)

inlinestatic

kernel function of 3D interpolation

Parameters

pos	particle position
X	interpolate nodes,x
Y	interpolate nodes,y
Z	interpolate nodes,z
field	values at interpolate nodes

Returns: T_real

◆ Interpolate1D() [1/2]

template<typename T_real = double, int N_order = 2>

static T_real interp::InterpLagrangeCart< T_real, N_order >::Interpolate1D	(	const Vec< T_real, 1 > &	pos,
		const Array1< T_real > &	X,
		const Array< T_real, 1 > &	field
	)

inlinestatic

1D interpolation

Parameters

pos	particle position
X	mesh points,x
field	physical values on mesh grids

Returns: T_real

◆ Interpolate1D() [2/2]

template<typename T_real = double, int N_order = 2>

static T_real interp::InterpLagrangeCart< T_real, N_order >::Interpolate1D	(	T_real &	pos,
		T_real	X[],
		T_real	field[],
		const int	nx
	)

inlinestatic

1D interpolation

Parameters

pos	1x3, particle position
X	1xNx, mesh points,x
field	Nx x 1 , values at mesh grids
nx	Nx

Returns: T_real

◆ Interpolate2D() [1/2]

template<typename T_real = double, int N_order = 2>

static T_real interp::InterpLagrangeCart< T_real, N_order >::Interpolate2D	(	const Vec< T_real, 2 > &	pos,
		const Array1< T_real > &	X,
		const Array1< T_real > &	Y,
		const Array< T_real, 2 > &	field
	)

inlinestatic

2D interpolation

Parameters

pos	particle position
X	mesh points,x
Y	mesh points, y
field	physical values on mesh grids

Returns: T_real

◆ Interpolate2D() [2/2]

template<typename T_real = double, int N_order = 2>

static T_real interp::InterpLagrangeCart< T_real, N_order >::Interpolate2D	(	T_real	pos[],
		T_real	X[],
		T_real	Y[],
		T_real	field[],
		const int	nx,
		const int	ny
	)

inlinestatic

2D interpolation

Parameters

pos	1x2, particle position
X	1xNx, mesh points,x
Y	1xNy, mesh points,y
field	Nx x Ny , values at mesh grids
nx	Nx
ny	Ny

Returns: T_real

◆ Interpolate3D() [1/2]

template<typename T_real = double, int N_order = 2>

static T_real interp::InterpLagrangeCart< T_real, N_order >::Interpolate3D	(	const Vec< T_real, 3 > &	pos,
		const Array1< T_real > &	X,
		const Array1< T_real > &	Y,
		const Array1< T_real > &	Z,
		const Array< T_real, 3 > &	field
	)

inlinestatic

3D interpolation

Parameters

pos	particle position
X	mesh points,x
Y	mesh points, y
Z	mesh points, z
field	physical values on mesh grids

Returns: T_real

◆ Interpolate3D() [2/2]

template<typename T_real = double, int N_order = 2>

static T_real interp::InterpLagrangeCart< T_real, N_order >::Interpolate3D	(	T_real	pos[],
		T_real	X[],
		T_real	Y[],
		T_real	Z[],
		T_real	field[],
		const int	nx,
		const int	ny,
		const int	nz
	)

inlinestatic

3D interpolation

Parameters

pos	1x3, particle position
X	1xNx, mesh points,x
Y	1xNy, mesh points,y
Z	1xNz, mesh points,z
field	Nx x Ny x Nz, values at mesh grids
nx	Nx
ny	Ny
nz	Nz

Returns: T_real

◆ LagBase()

template<typename T_real = double, int N_order = 2>

static T_real interp::InterpLagrangeCart< T_real, N_order >::LagBase	(	const int &	num,
		const T_real &	xp,
		const Array1< T_real > &	x
	)

inlinestatic

Base function of Lagrange interpolation.

Parameters

num	num-th base function,l_num(xp)
xp	position
x	interpolate nodes

Returns: T_real

◆ LagRange()

template<typename T_real = double, int N_order = 2>

static Range interp::InterpLagrangeCart< T_real, N_order >::LagRange	(	const int &	ind,
		const int &	N
	)

inlinestatic

index range of interpolate points for N_order

—0—1—2—3—4—5—6—...—N-1—N | | |<–N_order+1-->| ind0 ind1

Parameters

ind	current index of points
N	size of current array

Returns: Range

Member Data Documentation

◆ order

template<typename T_real = double, int N_order = 2>

const int interp::InterpLagrangeCart< T_real, N_order >::order = N_order

inlinestatic

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

/mnt/e/linuxOS/PhyStar/Math/interp/interpolation.hpp

Static Public Member Functions

Static Public Attributes

Detailed Description

template<typename T_real = double, int N_order = 2> struct interp::InterpLagrangeCart< T_real, N_order >

Member Function Documentation

◆ Interp1D()

◆ Interp2D()

◆ Interp3D()

◆ Interpolate1D() [1/2]

◆ Interpolate1D() [2/2]

◆ Interpolate2D() [1/2]

◆ Interpolate2D() [2/2]

◆ Interpolate3D() [1/2]

◆ Interpolate3D() [2/2]

◆ LagBase()

◆ LagRange()

Member Data Documentation

◆ order

template<typename T_real = double, int N_order = 2>
struct interp::InterpLagrangeCart< T_real, N_order >