.ThermoSysPro.Properties.WaterSteam.IF97_packages.IF97_wAJ.Spline_Utilities.Modelica_Interpolation.Bspline1D.Utilities

Information

Utility functions are provided here which are usually not called directly by a user, but are needed in the functions of this package

The following functions are supported:

  interpolation          Compute the interpolation Bspline
  interpolation_raw      Compute the interpolation Bspline, but only return the control points
                                                                                           and the knots
  interpolationBessel    Compute the interpolation Bspline with Bessel end-conditions
  interpolationDer       Compute the interpolation Bspline when the first derivative are given
  n_BasisFuns            Compute the non zero basis functions of the Bspline
  n_DersBasisFuns        Compute the non zero basis functions and their derivatives
  n_findSpan             Compute the interval in which the parameter lies
  norm                   The euklidian norm of a vector

Release Notes:

• Sept. 13, 2002 by Gerhard Schillhuber:
  first version implemented
• Oct. 17, 2002 by Gerhard Schillhuber:
  new function: interpolation_raw. return only the control points and the knots. 'interpolation' calls 'interpolation_raw'.

Copyright (C) 2002, Modelica Association and DLR.

This package is free software. It can be redistributed and/or modified under the terms of the Modelica license, see the license conditions and the accompanying disclaimer in the documentation of package Modelica in file "Modelica/package.mo".

Contents

Name	Description
interpolation	Interpolation of the points with a Bspline of degree n
interpolation_bandmatrix	Interpolation of the points with a Bspline of degree n. Do NOT return a Bspline struct. Return the the raw information of control points and knots.
interpolation_raw	Interpolation of the points with a Bspline of degree n. Do NOT return a Bspline struct. Return the the raw information of control points and knots.
interpolationBessel	Interpolation of the points with a Bspline of degree 3 and Bessel end condition
interpolationder	Interpolation of the points and its first derivatives with a Bspline of degree n
n_BasisFuns	Compute the nonvanishing basis functions
n_DersBasisFuns	Compute nonzero basis functions and their derivatives
n_findSpan	Determine the knot span index
norm	The euklidian norm of a vector