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Full Discussion: Interpolation using awk
Top Forums Shell Programming and Scripting Interpolation using awk Post 302618417 by Scrutinizer on Wednesday 4th of April 2012 02:17:27 AM
Old 04-04-2012
Hi,

Some pointers:

array P contains the array of points, x is the index
array I contains the sequence of x coordinates

These arrays get filled while processing the file
After that is done then the standard interpolation and extrapolation (there is no real difference) is done in the print statement for all enumerated points and virtual points..
If the enumerated point is beyond a threshold then the points on the basis of which the inter/extrapolation is calculated is switched to the next set..

You could perhaps visualize this by drawing a line with the points on a piece of paper and indicate the known points and then figure out how you would calculate the inter/extrapolated value and what set of points you would use for that...

Last edited by Scrutinizer; 04-05-2012 at 01:08 AM..
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calc_spline(3alleg4)						  Allegro manual					      calc_spline(3alleg4)

NAME
calc_spline - Calculates a series of values along a Bezier spline. Allegro game programming library. SYNOPSIS
#include <allegro.h> void calc_spline(const int points[8], int npts, int *x, int *y); DESCRIPTION
Calculates a series of npts values along a Bezier spline, storing them in the output x and y arrays. The Bezier curve is specified by the four x/y control points in the points array: points[0] and points[1] contain the coordinates of the first control point, points[2] and points[3] are the second point, etc. Control points 0 and 3 are the ends of the spline, and points 1 and 2 are guides. The curve probably won't pass through points 1 and 2, but they affect the shape of the curve between points 0 and 3 (the lines p0-p1 and p2-p3 are tangents to the spline). The easiest way to think of it is that the curve starts at p0, heading in the direction of p1, but curves round so that it arrives at p3 from the direction of p2. In addition to their role as graphics primitives, spline curves can be useful for constructing smooth paths around a series of control points, as in exspline.c. SEE ALSO
spline(3alleg4), exspline(3alleg4) Allegro version 4.4.2 calc_spline(3alleg4)
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