csa3ls is called to find values for an approximating cubic spline for three-dimensional input data at a list of specified coordinates. If you want to weight the input data values, calculate derivatives, or handle data sparse areas specially, then you will need to use csa3lxs.

**Note:** This function is only available in version 4.1.1 of
NCL. If your site is licensed for version 4.1, then you can get
version 4.1.1 for free. To get version 4.1.1 of NCAR Graphics
software, please contact your site representative. If you don't know
who your site representative is, then send email to ncarginf@ucar.edu or call (303)
497-1201.

function csa3ls( xi[*] : float, yi[*] : float, zi[*] : float, ui[*] : float, knots[3] : integer xo[*] : float yo[*] : float zo[*] : float )

*xi*- A one-dimensional array of any size containing the X coordinates of the input data points.
*yi*- A one-dimensional array of the same size as
*xi*containing the Y coordinates of the input data points. *zi*- A one-dimensional array of the same size as
*xi*and*yi*containing the Z coordinates of the input data points. *ui*- A one-dimensional array of the same size as
*xi*,*yi*, and*zi*containing the functional values at the input data coordinates given by*xi*,*yi*, and*zi*. That is*ui*[k] is the input function value at (*xi*[k],*yi*[k],*zi*[k]) for k=0 to dimsizes(*xi*)-1. *knots*- The number of knots to be used in constructing the approximating
surface.
*knots*(0),*knots*(1), and*knots*(2) must all be at least 4. The larger the value for*knots*, the closer the approximated surface will come to passing through the input function values. *xo*- A one-dimensional array containing the X coordinates of a list
of points where functional values are desired.
*xo*can be a single point. *yo*- A one-dimensional array containing the Y coordinates of a list
of points where functional values are desired.
*yo*can be a single point. *zo*- A one-dimensional array containing the Z coordinates of a list
of points where functional values are desired.
*zo*can be a single point.

`csa3ls` is in the
csagrid package
- a software package that
implements a cubic spline approximation algorithm to
fit a function to input data. The input for the approximation is
a set of randomly-spaced data. These data may be one-dimensional,
two-dimensional, or three-dimensional.

The general documentation for csagrid contains several complete examples for entries in the csagrid package.

begin ; ; Create the input arrays. ; xmin = -2. xmax = 2. ymin = -2. ymax = 2. zmin = -2. zmax = 2. nx = 21 ny = 21 nz = 21 ndata = 1000 xi = new(ndata,float) yi = new(ndata,float) zi = new(ndata,float) ui = new(ndata,float) do i=0,ndata-1 xi(i) = xmin + (xmax-xmin)*rand()/32767. yi(i) = ymin + (ymax-ymin)*rand()/32767. zi(i) = zmin + (zmax-zmin)*rand()/32767. ui(i) = xi(i)*xi(i) + yi(i)*yi(i) + zi(i)*zi(i) end do ; ; Calculate an approximation value at a single point. ; knots = (/4,4,4/) xo = 1.5 yo = 1.0 zo = 0.5 uo = csa3ls(xi,yi,zi,ui,knots,xo,yo,zo) end

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