NTPProd< T, P, Scalar >

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.

Public Member Functions
constexpr Scalar	operator() (Scalar x, Scalar y) const noexcept
	Call operator for multiplication.

Member Function Documentation

operator()()

template<size_t T, size_t P, typename Scalar>

Scalar operator() ( Scalar x, Scalar y ) const

inlineconstexprnoexcept

Defined in matrix.hpp.

This function returns the product of its arguments in an ntp semiring.

Parameters

x	the first value.
y	the second value.

Returns

The product of x and y in an ntp semiring.

Exceptions

This function is noexcept and is guaranteed never to throw.

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The documentation for this struct was generated from the following file:

• /Users/jdm/libsemigroups/include/libsemigroups/matrix.hpp