numpoly.remove_redundant_coefficients¶

numpoly.remove_redundant_coefficients(exponents: Union[numpy._typing._array_like._SupportsArray[numpy.dtype], numpy._typing._nested_sequence._NestedSequence[numpy._typing._array_like._SupportsArray[numpy.dtype]], bool, int, float, complex, str, bytes, numpy._typing._nested_sequence._NestedSequence[Union[bool, int, float, complex, str, bytes]]], coefficients: Sequence[Union[numpy._typing._array_like._SupportsArray[numpy.dtype], numpy._typing._nested_sequence._NestedSequence[numpy._typing._array_like._SupportsArray[numpy.dtype]], bool, int, float, complex, str, bytes, numpy._typing._nested_sequence._NestedSequence[Union[bool, int, float, complex, str, bytes]]]]) → Tuple[numpy.ndarray, List[numpy.ndarray]][source]¶

Remove coefficients if they are redundant to the polynomial representation.

Will always keep at least one coefficient.

Args:

exponents:: The exponents in an integer array with shape (N, D), where N is the number of terms in the polynomial sum and D is the number of dimensions.
coefficients:: The polynomial coefficients. Must correspond to exponents by having the same length N.

Return:

Same as inputs, but with redundant exponent rows and coefficients removed. This corresponds to N being lowered.

Example:

>>> exponents, coefficients = remove_redundant_coefficients(
...     [[0, 0], [0, 1]], [1, 2])
>>> exponents
array([[0, 0],
       [0, 1]])
>>> coefficients
[array(1), array(2)]
>>> remove_redundant_coefficients(
...     [[0, 0], [0, 1]], [1, 0])
(array([[0, 0]]), [array(1)])
>>> remove_redundant_coefficients([[0]], [[]])
(array([[0]]), [array([], dtype=float64)])