template<size_t T, size_t P, typename Scalar>
struct libsemigroups::NTPProd< T, P, Scalar >
Defined in matrix.hpp.
This is a stateless struct with a single call operator of signature: Scalar operator()(Scalar x, Scalar y) const noexcept that returns \(x \otimes y\) which is defined by
\[ x\otimes y =
\begin{cases}
xy & \text{if } xy \leq T \\ \mbox{}
T + ((xy - T) \pmod{P}) & \text{if } xy > T
\end{cases}
\]
representing multiplication in the quotient of the semiring natural numbers by the congruence \((T = T + P)\).
- Template Parameters
-
| T | the threshold. |
| P | the period. |
| Scalar | the type of the values in the semiring. |
