Types

LBPQC is build on top of numpy so the most common type on which operations are performed is numpy.ndarray.

However in order to improve clarity of the code we rely heavily on python's type aliases that allow to differentiate between e.g vectors and matrices (which both are represented as ndarray).

`int`

Aliases for int are only used as an information about what kind of result does the functino returns.

`ModInt`

type ModInt = int

Represents integers from interval \([0, q)\) for some positive integer \(q\).

`CenteredModInt`

type CenteredModInt = int

Represents integers from interval \([-\frac{q}{2}, \frac{q}{2})\) for some positive integer \(q\).

`Vector`

type Vector = np.ndarray

`VectorFloat`

type Vector = np.ndarray[float]

`VectorInt`

type Vector = np.ndarray[int]

`VectorModInt`

type Vector = np.ndarray[int]

`VectorCenteredModInt`

type Vector = np.ndarray[int]

`Matrix`

type Matrix = np.ndarray

`MatrixFloat`

type Matrix = np.ndarray[float]

`MatrixInt`

type Matrix = np.ndarray[int]

`MatrixModInt`

type Matrix = np.ndarray[int]

`MatrixCenteredModInt`

type Matrix = np.ndarray[int]