orthax.polynomial.polymul

orthax.polynomial.polymul(c1, c2, mode='full')Source

Multiply one polynomial by another.

Returns the product of two polynomials c1 * c2. The arguments are sequences of coefficients, from lowest order term to highest, e.g., [1,2,3] represents the polynomial 1 + 2*x + 3*x**2.

Parameters:

  • c1 (array_like) – 1-D arrays of coefficients representing a polynomial, relative to the “standard” basis, and ordered from lowest order term to highest.

  • c2 (array_like) – 1-D arrays of coefficients representing a polynomial, relative to the “standard” basis, and ordered from lowest order term to highest.

  • mode ({"full", "same"}) – If “full”, output has shape (len(c1) + len(c2)). If “same”, output has shape max(len(c1), len(c2)), possibly truncating high order modes.

Returns:

out (ndarray) – Of the coefficients of their product.

See also

polyadd, polysub, polymulx, polydiv, polypow

Examples

>>> from orthax import polynomial as P
>>> c1 = (1,2,3)
>>> c2 = (3,2,1)
>>> P.polymul(c1,c2)
array([  3.,   8.,  14.,   8.,   3.])