numpy.polynomial.legendre.legtrim()

numpy.polynomial.legendre.legtrim(c, tol=0) [source]

Remove ?small? ?trailing? coefficients from a polynomial.

?Small? means ?small in absolute value? and is controlled by the parameter tol; ?trailing? means highest order coefficient(s), e.g., in [0, 1, 1, 0, 0] (which represents 0 + x + x**2 + 0*x**3 + 0*x**4) both the 3-rd and 4-th order coefficients would be ?trimmed.?

Parameters:

Parameters:	c : array_like 1-d array of coefficients, ordered from lowest order to highest. tol : number, optional Trailing (i.e., highest order) elements with absolute value less than or equal to `tol` (default value is zero) are removed.
Returns:	trimmed : ndarray 1-d array with trailing zeros removed. If the resulting series would be empty, a series containing a single zero is returned.
Raises:	ValueError If `tol` < 0

c : array_like

1-d array of coefficients, ordered from lowest order to highest.

tol : number, optional

Trailing (i.e., highest order) elements with absolute value less than or equal to tol (default value is zero) are removed.

Returns:

trimmed : ndarray

1-d array with trailing zeros removed. If the resulting series would be empty, a series containing a single zero is returned.

Raises:

ValueError

If tol < 0

Examples

>>> from numpy import polynomial as P
>>> P.trimcoef((0,0,3,0,5,0,0))
array([ 0.,  0.,  3.,  0.,  5.])
>>> P.trimcoef((0,0,1e-3,0,1e-5,0,0),1e-3) # item == tol is trimmed
array([ 0.])
>>> i = complex(0,1) # works for complex
>>> P.trimcoef((3e-4,1e-3*(1-i),5e-4,2e-5*(1+i)), 1e-3)
array([ 0.0003+0.j   ,  0.0010-0.001j])

Links:

https://docs.scipy.org/doc/numpy-1.11.0/reference/generated/numpy.polynomial.legendre.legtrim.html

doc_NumPy

2025-01-10 15:47:30

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