SYNOPSIS

FUNCTION CURVP2 (T, N, X, Y, P, YP, SIGMA)

This function interpolates a value at a specified point using a spline under tension. CURVP1 must be called prior to calling CURVP2, and the values thus obtained used as input to CURVP2. CURVP2 returns the interpolated function value at the X-coordinate specified.

DESCRIPTION

T

(real, input) The abscissa for which an interpolated function value is desired.

N

(integer, input) The number of input data values. (N > 1)

X

(real, input) An array containing the abscissae for the input function.

Y

(real, input) An array containing the functional values of the input data -- Y(K) is the functional value at X(K) for K=1,N.

X

(real, input) The period of the function.

YP

(real, input) Contains values for the second derivative (as calculated by CURV1).

SIGMA

(real, input) Tension factor. Values near zero result in a cubic spline; large values (e.g. 50) result in nearly a polygonal line. A typical value is 1.

RETURN VALUE

CURVP2 returns the interpolated value at the specified point T.

ACCESS

To use CURVP2, load the NCAR Graphics library ngmath.

RELATED TO curvp2…

curvp1, fitgrid_params.

Complete documentation for Fitgrid is available at URL

http://ngwww.ucar.edu/ngdoc/ng/ngmath/fitgrid/fithome.html

COPYRIGHT

Copyright (C) 2000

University Corporation for Atmospheric Research

The use of this Software is governed by a License Agreement.