numpy.polynomial.polyutils.mapparms¶
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numpy.polynomial.polyutils.
mapparms
(old, new)[source]¶ Linear map parameters between domains.
Return the parameters of the linear map
offset + scale*x
that maps old to new such thatold[i] -> new[i]
,i = 0, 1
.Parameters: old, new : array_like
Domains. Each domain must (successfully) convert to a 1-d array containing precisely two values.
Returns: offset, scale : scalars
The map
L(x) = offset + scale*x
maps the first domain to the second.Notes
Also works for complex numbers, and thus can be used to calculate the parameters required to map any line in the complex plane to any other line therein.
Examples
>>> from numpy.polynomial import polyutils as pu >>> pu.mapparms((-1,1),(-1,1)) (0.0, 1.0) >>> pu.mapparms((1,-1),(-1,1)) (0.0, -1.0) >>> i = complex(0,1) >>> pu.mapparms((-i,-1),(1,i)) ((1+1j), (1+0j))