59 lines
1.8 KiB
Python
59 lines
1.8 KiB
Python
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from sympy.matrices.expressions import MatrixSymbol, MatAdd, MatPow, MatMul
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from sympy.matrices.expressions.special import GenericZeroMatrix, ZeroMatrix
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from sympy.matrices.common import ShapeError
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from sympy.matrices import eye, ImmutableMatrix
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from sympy.core import Add, Basic, S
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from sympy.core.add import add
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from sympy.testing.pytest import XFAIL, raises
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X = MatrixSymbol('X', 2, 2)
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Y = MatrixSymbol('Y', 2, 2)
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def test_evaluate():
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assert MatAdd(X, X, evaluate=True) == add(X, X, evaluate=True) == MatAdd(X, X).doit()
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def test_sort_key():
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assert MatAdd(Y, X).doit().args == add(Y, X).doit().args == (X, Y)
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def test_matadd_sympify():
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assert isinstance(MatAdd(eye(1), eye(1)).args[0], Basic)
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assert isinstance(add(eye(1), eye(1)).args[0], Basic)
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def test_matadd_of_matrices():
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assert MatAdd(eye(2), 4*eye(2), eye(2)).doit() == ImmutableMatrix(6*eye(2))
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assert add(eye(2), 4*eye(2), eye(2)).doit() == ImmutableMatrix(6*eye(2))
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def test_doit_args():
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A = ImmutableMatrix([[1, 2], [3, 4]])
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B = ImmutableMatrix([[2, 3], [4, 5]])
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assert MatAdd(A, MatPow(B, 2)).doit() == A + B**2
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assert MatAdd(A, MatMul(A, B)).doit() == A + A*B
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assert (MatAdd(A, X, MatMul(A, B), Y, MatAdd(2*A, B)).doit() ==
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add(A, X, MatMul(A, B), Y, add(2*A, B)).doit() ==
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MatAdd(3*A + A*B + B, X, Y))
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def test_generic_identity():
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assert MatAdd.identity == GenericZeroMatrix()
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assert MatAdd.identity != S.Zero
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def test_zero_matrix_add():
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assert Add(ZeroMatrix(2, 2), ZeroMatrix(2, 2)) == ZeroMatrix(2, 2)
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@XFAIL
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def test_matrix_Add_with_scalar():
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raises(TypeError, lambda: Add(0, ZeroMatrix(2, 2)))
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def test_shape_error():
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A = MatrixSymbol('A', 2, 3)
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B = MatrixSymbol('B', 3, 3)
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raises(ShapeError, lambda: MatAdd(A, B))
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A = MatrixSymbol('A', 3, 2)
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raises(ShapeError, lambda: MatAdd(A, B))
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