numeric — replace the numeric module of CodeSkulptor

numeric module.

Replace the numeric module of CodeSkulptor.

Piece of SimpleGUICS2Pygame. https://bitbucket.org/OPiMedia/simpleguics2pygame

license:GPLv3 — Copyright (C) 2013-2014, 2020-2021 Olivier Pirson author:Olivier Pirson — http://www.opimedia.be/ version:May 5, 2021

class SimpleGUICS2Pygame.numeric.Matrix(data, _copy=True)

Matrix (m x n).

See http://en.wikipedia.org/wiki/Matrix_%28mathematics%29 .

__add__(other)

To a matrix (m x n) return the matrix plus other.

Parameters:other – Matrix (m x n) Returns:Matrix (m x n)

__getitem__(i_j)

Return the value of the (m x n) matrix at row i and column j.

Parameters:i_j – (0 <= int < m, 0 <= int < n) or [0 <= int < m, 0 <= int < n] Returns:float

__init__(data, _copy=True)

Create a matrix with the 2-dimensional data.

If not _copy then data is directly used without copy. In this case, data must be a correct list of list of float. (Option not available in SimpleGUI of CodeSkulptor.)

Parameters:

• data – (not empty tuple or list) of (same size tuple or list) of (int or float)
• _copy – bool

__mul__(other)

To a matrix (m x k) return the matrix multiply by other.

Parameters:other – Matrix (k x n) Returns:Matrix (m x n)

__setitem__(i_j, value)

Change the value of the element at row i and column j, to the (m x n) matrix.

Parameters:

• i_j – (0 <= int < m, 0 <= int < n) or [0 <= int < m, 0 <= int < n]
• value – int or float

__str__()

Return the string representation of the matrix.

Returns:string

__sub__(other)

To a matrix (m x n) return the matrix minus other.

Parameters:other – Matrix (m x n) Returns:Matrix (m x n)

__weakref__

list of weak references to the object (if defined)

_is_identity(epsilon=2.220446049250313e-16)

If the matrix is an identity matrix then return True, else return False.

(Not available in SimpleGUI of CodeSkulptor.)

Parameters:epsilon – 0 <= (float or int) < 1 Returns:bool

_is_zero(epsilon=2.220446049250313e-16)

If the matrix is a zeros matrix then return True, else return False.

(Not available in SimpleGUI of CodeSkulptor.)

Parameters:epsilon – 0 <= (float or int) < 1 Returns:bool

_nb_columns()

Return n for a (m x n) matrix.

(Not available in SimpleGUI of CodeSkulptor.)

Returns:int >= 1

_nb_lines()

Return m to a (m x n) matrix.

(Not available in SimpleGUI of CodeSkulptor.)

Returns:int >= 1

abs()

To a matrix (m x n) return the matrix with each element is the absolute value.

Returns:Matrix (m x n)

copy()

Return a copy of the matrix (m x n).

Returns:Matrix (m x n)

getcol(j)

Return the (1 x m) matrix that is a copy of column j of the (m x n) matrix.

Parameters:j – 0 <= int < n Returns:Matrix (1 x m)

getrow(i)

Return the (1 x n) matrix that is a copy of row i of the (m x n) matrix.

Parameters:i – 0 <= int < m Returns:Matrix (1 x n)

inverse(_epsilon=2.220446049250313e-16)

If the square matrix (n x n) is inversible then return the inverse, else raise an ValueError exception.

Algorithm used: Gaussian elimination. See http://en.wikipedia.org/wiki/Gaussian_elimination .

Parameters:_epsilon – 0 <= (float or int) < 1 (Option not available in SimpleGUI of CodeSkulptor.) Returns:Matrix (n x n) Raise:ValueError if the matrix is not inversible

scale(factor)

To a matrix (m x n) return the matrix with each element multiply by factor.

(Method available in CodeSkulptor2 but not in CodeSkulptor3.)

Parameters:factor – int or float Returns:Matrix (m x n)

shape()

Return (m, n) to a matrix (m x n).

Returns:(int >= 1, int >= 1)

summation()

Return the sum of all the elements of the matrix.

Returns:float

transpose()

Return the transposition of the matrix (m x n).

Returns:Matrix (n x m)

SimpleGUICS2Pygame.numeric._EPSILON = 2.220446049250313e-16

The default epsilon value.

SimpleGUICS2Pygame.numeric._zero(m, n)

Return a (m x n) zeros matrix.

Parameters:

• m – int >= 1
• n – int >= 1

Returns:

Matrix (m x n)

SimpleGUICS2Pygame.numeric.identity(size)

Return a (size x size) identity matrix.

Parameters:size – int >= 1 Returns:Matrix (size x size)

[source]