MLPY/Lib/site-packages/sympy/matrices/expressions/tests/test_sets.py

from sympy.core.singleton import S
from sympy.core.symbol import symbols
from sympy.matrices import Matrix
from sympy.matrices.expressions.matexpr import MatrixSymbol
from sympy.matrices.expressions.sets import MatrixSet
from sympy.matrices.expressions.special import ZeroMatrix
from sympy.testing.pytest import raises
from sympy.sets.sets import SetKind
from sympy.matrices.kind import MatrixKind
from sympy.core.kind import NumberKind


def test_MatrixSet():
    n, m = symbols('n m', integer=True)
    A = MatrixSymbol('A', n, m)
    C = MatrixSymbol('C', n, n)

    M = MatrixSet(2, 2, set=S.Reals)
    assert M.shape == (2, 2)
    assert M.set == S.Reals
    X = Matrix([[1, 2], [3, 4]])
    assert X in M
    X = ZeroMatrix(2, 2)
    assert X in M
    raises(TypeError, lambda: A in M)
    raises(TypeError, lambda: 1 in M)
    M = MatrixSet(n, m, set=S.Reals)
    assert A in M
    raises(TypeError, lambda: C in M)
    raises(TypeError, lambda: X in M)
    M = MatrixSet(2, 2, set={1, 2, 3})
    X = Matrix([[1, 2], [3, 4]])
    Y = Matrix([[1, 2]])
    assert (X in M) == S.false
    assert (Y in M) == S.false
    raises(ValueError, lambda: MatrixSet(2, -2, S.Reals))
    raises(ValueError, lambda: MatrixSet(2.4, -1, S.Reals))
    raises(TypeError, lambda: MatrixSet(2, 2, (1, 2, 3)))


def test_SetKind_MatrixSet():
    assert MatrixSet(2, 2, set=S.Reals).kind is SetKind(MatrixKind(NumberKind))