verry.autodiff.Jet

class verry.autodiff.Jet(coeffs)

Bases: Scalar, ABC, Generic

Abstract base class for jets.

Parameters:

coeffs (Iterable[T]) – Coefficients of the jet.

Variables:

coeffs (list[T]) – Coefficients of the jet.

Warning

Users cannot define classes derived from this.

See also

DynJet, IntervalJet

Notes

In principle, instances of this class behave like elements of the ring \(T[x]/(x^n)\), where \(n\) is the length of coeffs. However, this does not apply to \(n=1\). If \(n=1\), the instance is treated as an element of the coefficient ring T.

Examples

>>> x = DynJet([1.0, 6.0, 7.0, 2.0])
>>> y = DynJet([3.0, -1.0, 5.0])
>>> z = x + y
>>> z
DynJet([4.0, 5.0, 12.0])

>>> x = DynJet([1.0, 2.0, 3.0])
>>> y = DynJet([2.0])  # treated as 2.0 since its order is 0
>>> z = x * y
>>> z
DynJet([2.0, 4.0, 6.0])

__call__(arg)

Call self as a function.

reciprocal()

Return the reciprocal of the jet.

Raises:

ZeroDivisionError – If the constant term is not invertible.

property order

Order of the jet.

This is a shorthand for len(self.coeffs) - 1.