orb5x::spclibs::Spline1D Struct Reference

1-dimensional B-spline More...

#include "bsplines.hpp"

Collaboration diagram for orb5x::spclibs::Spline1D:

Public Member Functions
int	degree () const
	Get degree (order - 1)
bool	is_initialized () const
	Check if spline is initialized.
Real	knot (int i) const
	Get knot at index i (handles offset from Fortran indexing) In Fortran: knots(-p:nints+p), in C++: knots(0:2*p+nints) Fortran index i maps to C++ index i + order - 1.
void	set_knot (int i, Real val)
	Set knot at index i.
	Spline1D ()=default

Public Attributes
Kokkos::View< Real * >	bcoefs
	Spline coefficients.
int	dim = 0
	Dimension of spline space = nints + order - 1.
std::vector< int >	fmap
	Fine to coarse mesh mapping (for non-equidistant)
Kokkos::View< Real ** >	gausw
	Gauss weights (ngauss x nints)
Kokkos::View< Real ** >	gausx
	Gauss abscissas (ngauss x nints)
Real	hinv = 0.0
	Inverse of mesh size (for equidistant grids)
Kokkos::View< Real * >	intspl
	Integral of each spline.
Kokkos::View< Real * >	knots
	Knot sequence (-p:nints+p in Fortran, size 2*p+nints+1)
Real	lperiod = 0.0
	Period length (if periodic)
GBMat	mat
	Interpolation matrix (non-periodic)
PeriodicMat	matp
	Interpolation matrix (periodic)
int	nints = 0
	Number of knot intervals.
bool	nlequid = false
	Is the grid equidistant?
bool	nlppform = true
	Use PPFORM for evaluation?
int	order = 0
	Spline order = degree + 1.
bool	period = false
	Is the grid periodic?
Kokkos::View< Real ** >	ppform
	PPFORM coefficients.
Kokkos::View< Real *** >	val0
	Pre-computed spline values at left boundaries (deriv, basis, interval)
Kokkos::View< Real ** >	valc
	For periodic equidistant: translational invariant values.

Detailed Description

1-dimensional B-spline

Represents a B-spline defined on a 1D grid with:

• Arbitrary order (degree + 1)
• Equidistant or non-equidistant knot sequence
• Optional periodic boundary conditions
• Pre-computed Gauss quadrature points and weights
• Band matrix for interpolation

Constructor & Destructor Documentation

Spline1D()

orb5x::spclibs::Spline1D::Spline1D ( )

default

Member Function Documentation

degree()

int orb5x::spclibs::Spline1D::degree ( ) const

inline

Get degree (order - 1)

References order.

is_initialized()

bool orb5x::spclibs::Spline1D::is_initialized ( ) const

inline

Check if spline is initialized.

References dim, and order.

Referenced by orb5x::spclibs::Spline2D::is_initialized(), and orb5x::spclibs::Spline2D1D::is_initialized().

knot()

Real orb5x::spclibs::Spline1D::knot

(

int

i

)

const

Get knot at index i (handles offset from Fortran indexing) In Fortran: knots(-p:nints+p), in C++: knots(0:2*p+nints) Fortran index i maps to C++ index i + order - 1.

set_knot()

void orb5x::spclibs::Spline1D::set_knot	(	int	i,
		Real	val
	)

Set knot at index i.

Member Data Documentation

bcoefs

Kokkos::View<Real*> orb5x::spclibs::Spline1D::bcoefs

Spline coefficients.

dim

int orb5x::spclibs::Spline1D::dim = 0

Dimension of spline space = nints + order - 1.

Referenced by is_initialized().

fmap

std::vector<int> orb5x::spclibs::Spline1D::fmap

Fine to coarse mesh mapping (for non-equidistant)

gausw

Kokkos::View<Real**> orb5x::spclibs::Spline1D::gausw

Gauss weights (ngauss x nints)

gausx

Kokkos::View<Real**> orb5x::spclibs::Spline1D::gausx

Gauss abscissas (ngauss x nints)

hinv

Real orb5x::spclibs::Spline1D::hinv = 0.0

Inverse of mesh size (for equidistant grids)

intspl

Kokkos::View<Real*> orb5x::spclibs::Spline1D::intspl

Integral of each spline.

knots

Kokkos::View<Real*> orb5x::spclibs::Spline1D::knots

Knot sequence (-p:nints+p in Fortran, size 2*p+nints+1)

lperiod

Real orb5x::spclibs::Spline1D::lperiod = 0.0

Period length (if periodic)

mat

GBMat orb5x::spclibs::Spline1D::mat

Interpolation matrix (non-periodic)

matp

PeriodicMat orb5x::spclibs::Spline1D::matp

Interpolation matrix (periodic)

nints

int orb5x::spclibs::Spline1D::nints = 0

Number of knot intervals.

nlequid

bool orb5x::spclibs::Spline1D::nlequid = false

Is the grid equidistant?

nlppform

bool orb5x::spclibs::Spline1D::nlppform = true

Use PPFORM for evaluation?

order

int orb5x::spclibs::Spline1D::order = 0

Spline order = degree + 1.

Referenced by degree(), and is_initialized().

period

bool orb5x::spclibs::Spline1D::period = false

Is the grid periodic?

ppform

Kokkos::View<Real**> orb5x::spclibs::Spline1D::ppform

PPFORM coefficients.

val0

Kokkos::View<Real***> orb5x::spclibs::Spline1D::val0

Pre-computed spline values at left boundaries (deriv, basis, interval)

valc

Kokkos::View<Real**> orb5x::spclibs::Spline1D::valc

For periodic equidistant: translational invariant values.

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

• bsplines.hpp