43 lines
1.4 KiB
Python
43 lines
1.4 KiB
Python
|
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.common 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))
|