Provided by: libncarg-dev_6.4.0-9_amd64 
NAME
CURVPS - calculate values for a smoothing spline for a periodic function.
SYNOPSIS
CALL CURVPS (N, X, Y, P, D, ISW, S, EPS, YS, YSP, SIGMA, TEMP, IER)
This subroutine calculates certain values that are used by CURVP2 in order to compute an interpolatory
smoothing spline under tension through a sequence of functional values for a periodic function. The
actual computation of the interpolated values must be done using CURVP2.
Three parameters are used to control the degree of smoothness -- D, S, and EPS.
The parameter D is a value indicating the degree of confidence in the accuracy of the input function
values -- it should be an approximation of the standard deviation of error. Effectively the value of D
controls how close the smoothed curve comes to the input data points. If D is small then the interpolated
curve will pass close to the input data. The larger the value of D, the more freedom the smooth curve has
in how close it comes to the input data values.
S is a more subtle global smoothing parameter. S must be non-negative. For small values of S, the curve
approximates the tension spline and for larger values of S, the curve is smoother. A reasonable value for
S is REAL(N).
EPS controls the precision to which S is interpreted; EPS must be between 0. and 1. inclusive. A
reasonable value for EPS is SQRT(2./REAL(N)).
DESCRIPTION
N (integer, input) The number of input data values. (N > 1)
X (integer, input) An array containing the abscissae for the input function.
Y (integer, input) An array containing the functional values for the input function -- Y(K) is
the functional value at X(K) for K=1,N.
P (real, input) The period of the function.
D (integer, input) A user-specified value containing the observed weights. D may be either an
array or a scalar, depending on the value of ISW (as described below).
ISW (integer, input) A switch for interpreting the value of D. If ISW=0, then D is an array of
length N (D contains an individual error estimate for each input data value); if ISW=1, then
D is a scalar that serves as an error estimate for every single data item.
S (integer, input) Contains the value for smoothing. S must be non-negative. Larger values for
S yield greater smoothing. A reasonable value is REAL(N).
EPS (integer, input) Contains a tolerance value for the relative precision to which S should be
interpreted. EPS must be between 0. and 1. inclusive. A reasonable value is
SQRT(2./REAL(N)).
YS (integer, input) An array of length N.
YSP (integer, input) An array of length N.
SIGMA (integer, 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.
TEMP (integer, input) Scratch space.
IER (integer, input) An error return value. If IER is returned as 0, then no errors were
detected.
= 1 if N is less than 2.
= 2 if S is negative.
= 3 if EPS is negative or greater than 1.
= 4 if X values are not strictly increasing.
= 5 if D is negative.
= 6 if P is less than or equal to X(N)-X(1).
ACCESS
To use CURVPS, load the NCAR Graphics library ngmath.
SEE ALSO
curvp2, 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.