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Full Discussion: Interpolation using awk
Top Forums Shell Programming and Scripting Interpolation using awk Post 302619093 by Scrutinizer on Thursday 5th of April 2012 12:07:11 AM
Old 04-05-2012
j is used for the (known) x coordinates, i is used for all (inter/extrpolated) coordinates, the left x-coordinate is called s and the right x-coordinate is t.

so this checks to see if a shift to use the next pair of coordinates is necessary and this is the case if i>t ( which means i>I[j+1] ) unless the coordinates we then would need to shift to (from I[j] and I[j+1] to I[j+1] and I[j+2]), do not exist. This will not be the case for I[j+1], but if I[j+2] does not exist, then we have reached the end of the array I.

If this is the case (then n lies to the right of the range of coordinates) then in fact we are switching automatically from interpolation to extrapolation. The same formula is used for extrapolation as for interpolation.
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Tk_CoordsToWindow(3)					       Tk Library Procedures					      Tk_CoordsToWindow(3)

__________________________________________________________________________________________________________________________________________________

NAME
Tk_CoordsToWindow - Find window containing a point SYNOPSIS
#include <tk.h> Tk_Window Tk_CoordsToWindow(rootX, rootY, tkwin) ARGUMENTS
int rootX (in) X-coordinate (in root window coordinates). int rootY (in) Y-coordinate (in root window coordinates). Tk_Window tkwin (in) Token for window that identifies application. _________________________________________________________________ DESCRIPTION
Tk_CoordsToWindow locates the window that contains a given point. The point is specified in root coordinates with rootX and rootY (if a virtual-root window manager is in use then rootX and rootY are in the coordinate system of the virtual root window). The return value from the procedure is a token for the window that contains the given point. If the point is not in any window, or if the containing window is not in the same application as tkwin, then NULL is returned. The containing window is decided using the same rules that determine which window contains the mouse cursor: if a parent and a child both contain the point then the child gets preference, and if two siblings both contain the point then the highest one in the stacking order (i.e. the one that's visible on the screen) gets preference. KEYWORDS
containing, coordinates, root window Tk Tk_CoordsToWindow(3)
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