pppack.hpp File Reference

Low-level B-spline routines from PPPACK. More...

#include "../prec_const.hpp"
#include <vector>

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Namespaces
namespace	orb5x
namespace	orb5x::spclibs

Functions
void	orb5x::spclibs::bsplvb (const Real *t, int jhigh, Real x, int left, Real *biatx)
	Evaluate B-spline basis functions at a point.
void	orb5x::spclibs::bsplvd (const Real *t, int k, Real x, int left, Real *a, Real *dbiatx, int nderiv)
	Evaluate B-spline basis functions and derivatives at a point.
void	orb5x::spclibs::bspp2d (const Real *t, const Real *bcoef, int n, int k, Real *scrtch, Real *ppcoef)
	Convert B-spline coefficients to PPFORM.
void	orb5x::spclibs::gauleg (Real x1, Real x2, Real *x, Real *w, int n)
	Compute Gauss-Legendre quadrature points and weights.
void	orb5x::spclibs::interv (const Real *xt, int lxt, Real x, int &left, int &mflag)
	Locate interval containing x in a knot sequence.
void	orb5x::spclibs::interv_hint (const Real *xt, int lxt, Real x, int &left, int &mflag, int &ilo)
	Thread-safe version of interv with explicit previous guess.
Real	orb5x::spclibs::ppval (const Real *t, const Real *coef, int n, int k, Real x, int &left)
	Evaluate polynomial in piecewise polynomial form.

Variables
constexpr int	orb5x::spclibs::JMAX = 20
	Maximum spline order supported (degree + 1)

Detailed Description

Low-level B-spline routines from PPPACK.

This file is a C++ translation of the pppack B-spline routines. Based on Carl de Boor's "A Practical Guide to Splines".

Key functions:

• bsplvb: Evaluate B-spline basis functions
• bsplvd: Evaluate B-spline basis functions and derivatives
• interv: Locate interval in knot sequence
• gauleg: Gauss-Legendre quadrature points and weights

Copyright

Based on SPClibs by EPFL Swiss Plasma Center C++ port for ORB5X