e01sbf

Purpose

Synopsis

[pf,ifail] = e01sbf(x,y,f,triang,grads,px,py<,ifail>)

Description

 
 This routine takes as input the parameters defining the 
 interpolant F(x,y) of a set of scattered data points (x ,y ,f ), 
                                                        r  r  r  
 for r=1,2,...,m, as computed by E01SAF, and evaluates the 
 interpolant at the point (px,py).
 
 If (px,py) is equal to (x ,y ) for some value of r, the returned 
                          r  r                                   
 value will be equal to f .
                         r
 
 If (px,py) is not equal to (x ,y ) for any r, the derivatives in 
                              r  r                               
 GRADS will be used to compute the interpolant. A triangle is 
 sought which contains the point (px,py), and the vertices of the 
 triangle along with the partial derivatives and f  values at the 
                                                  r              
 vertices are used to compute the value F(px,py). If the point 
 (px,py) lies outside the triangulation defined by the input 
 parameters, the returned value is obtained by extrapolation. In 
 this case, the interpolating function F is extended linearly 
 beyond the triangulation boundary. 
 
 E01SBF must only be called after a call to E01SAF.
 

Parameters

e01sbf

Required Input Arguments:

x (:)                                 real
y (:)                                 real
f (:)                                 real
triang (:)                            real
grads (2,:)                           real
px                                    real
py                                    real

Optional Input Arguments:                       <Default>

ifail                                 integer  -1

Output Arguments:

pf                                    real
ifail                                 integer