plumial.core.P._P.encode

_P.encode(basis=None, g=None, h=None)

Create a new P object encoded in a different basis.

This method enables the transitive encoding property where P objects can be transformed between different coordinate systems while preserving the underlying p-value identity.

Parameters:

• basis (Optional[Basis]) – Target basis for encoding

• g (Union[int, float, None]) – g parameter for custom basis (alternative to basis parameter)

• h (Union[int, float, None]) – h parameter for custom basis (alternative to basis parameter)

Return type:

_P

Returns:

New P object with same p-value but different basis

Examples

>>> p = P(281)                    # Symbolic basis
>>> collatz_p = p.encode(B.Collatz)  # Collatz basis
>>> custom_p = p.encode(g=5, h=2)    # Custom basis
>>> back_p = collatz_p.encode()      # Back to symbolic basis
>>> assert back_p == p              # Round-trip equality