[Numpy-discussion] How to make scipy.interpolate give a an extrapolated result beyond the input range?
Fri Apr 30 12:03:13 CDT 2010
On Fri, Apr 30, 2010 at 12:18 PM, Salim, Fadhley (CA-CIB)
> I'm trying to port a program which currently uses a hand-rolled C++
> interpolator (developed by a mathematician colleage) over to use the
> interpolators provided by scipy. I'd like to use or wrap the scipy
> interpolator so that it's behavior is as close as possible behavior to
> our old interpolator.
> A key difference between the two functions is that in our original
> interpolator - if the input value is above or below the input range, our
> original interpolator will extrapolate the result. If you try this with
> the scipy interpolator it raises a ValueError. Consider this program as
> an example:
> # EXAMPLE
> import numpy as np
> from scipy import interpolate
> x = np.arange(0,10)
> y = np.exp(-x/3.0)
> f = interpolate.interp1d(x, y)
> print f(9)
> print f(11) ##### Causes ValueError, because it's greater than max(x) #
> END OF EXAMPLE
> In the example above, I'd like the last line not to raise a ValueError,
> but to return a value calculated from the gradient of the line between
> f(x[-2]) and f(x[-1]).
> Is there a sensible way to make it so that instead of crashing, the
> final line will simply do a linear extrapolate, continuing the gradients
> defined by the first and last pairs of input data-points to infinity?
> I know that this is a simple enough function to write myself, however
> I'd rather not re-invent the wheel, especially as if I wanted to
> introduce new basic math functions into our library they would need to
> be validated by a number of gate-keepers before they were permitted into
> our library!
> I'm on Python 2.4, scipy 0.7 on Windows XP, 32bit
> Incidentally, I have seen this tutorial which has a "left" and "right"
> argument on the interpolator. This does not seem to exist on any version
> of the interp1d function which I can use on Windows Python 2.4 - can
> anybody speculate which version of Scipy this tutorial is intended for?
Interesting question, after renaming, the branch is at
Does anyone know what the purpose and status of this branch is?
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