Constants

• Poly.domain – Default domain
• Poly.window – Default window
• Poly.basis_name – String used to represent the basis
• Poly.maxpower – Maximum value n such that p**n is allowed
• Poly.nickname – String used in printing

Creation

Methods for creating polynomial instances.

• Poly.basis(degree) – Basis polynomial of given degree
• Poly.identity() – p where p(x) = x for all x
• Poly.fit(x, y, deg) – p of degree deg with coefficients determined by the least-squares fit to the data x, y
• Poly.fromroots(roots) – p with specified roots
• p.copy() – Create a copy of p

Conversion

Methods for converting a polynomial instance of one kind to another.

• p.cast(Poly) – Convert p to instance of kind Poly
• p.convert(Poly) – Convert p to instance of kind Poly or map between domain and window

Calculus

• p.deriv() – Take the derivative of p
• p.integ() – Integrate p

Validation

• Poly.has_samecoef(p1, p2) – Check if coefficients match
• Poly.has_samedomain(p1, p2) – Check if domains match
• Poly.has_sametype(p1, p2) – Check if types match
• Poly.has_samewindow(p1, p2) – Check if windows match

Misc

• p.linspace() – Return x, p(x) at equally-spaced points in domain
• p.mapparms() – Return the parameters for the linear mapping between domain and window.
• p.roots() – Return the roots of p.
• p.trim() – Remove trailing coefficients.
• p.cutdeg(degree) – Truncate p to given degree
• p.truncate(size) – Truncate p to given size