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55 lines
2.2 KiB
55 lines
2.2 KiB
from sympy.core import symbols, Lambda
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from sympy.core.sympify import SympifyError
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from sympy.functions import KroneckerDelta
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from sympy.matrices import Matrix
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from sympy.matrices.expressions import FunctionMatrix, MatrixExpr, Identity
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from sympy.testing.pytest import raises
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def test_funcmatrix_creation():
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i, j, k = symbols('i j k')
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assert FunctionMatrix(2, 2, Lambda((i, j), 0))
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assert FunctionMatrix(0, 0, Lambda((i, j), 0))
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raises(ValueError, lambda: FunctionMatrix(-1, 0, Lambda((i, j), 0)))
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raises(ValueError, lambda: FunctionMatrix(2.0, 0, Lambda((i, j), 0)))
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raises(ValueError, lambda: FunctionMatrix(2j, 0, Lambda((i, j), 0)))
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raises(ValueError, lambda: FunctionMatrix(0, -1, Lambda((i, j), 0)))
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raises(ValueError, lambda: FunctionMatrix(0, 2.0, Lambda((i, j), 0)))
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raises(ValueError, lambda: FunctionMatrix(0, 2j, Lambda((i, j), 0)))
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raises(ValueError, lambda: FunctionMatrix(2, 2, Lambda(i, 0)))
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raises(SympifyError, lambda: FunctionMatrix(2, 2, lambda i, j: 0))
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raises(ValueError, lambda: FunctionMatrix(2, 2, Lambda((i,), 0)))
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raises(ValueError, lambda: FunctionMatrix(2, 2, Lambda((i, j, k), 0)))
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raises(ValueError, lambda: FunctionMatrix(2, 2, i+j))
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assert FunctionMatrix(2, 2, "lambda i, j: 0") == \
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FunctionMatrix(2, 2, Lambda((i, j), 0))
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m = FunctionMatrix(2, 2, KroneckerDelta)
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assert m.as_explicit() == Identity(2).as_explicit()
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assert m.args[2].dummy_eq(Lambda((i, j), KroneckerDelta(i, j)))
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n = symbols('n')
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assert FunctionMatrix(n, n, Lambda((i, j), 0))
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n = symbols('n', integer=False)
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raises(ValueError, lambda: FunctionMatrix(n, n, Lambda((i, j), 0)))
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n = symbols('n', negative=True)
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raises(ValueError, lambda: FunctionMatrix(n, n, Lambda((i, j), 0)))
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def test_funcmatrix():
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i, j = symbols('i,j')
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X = FunctionMatrix(3, 3, Lambda((i, j), i - j))
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assert X[1, 1] == 0
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assert X[1, 2] == -1
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assert X.shape == (3, 3)
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assert X.rows == X.cols == 3
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assert Matrix(X) == Matrix(3, 3, lambda i, j: i - j)
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assert isinstance(X*X + X, MatrixExpr)
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def test_replace_issue():
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X = FunctionMatrix(3, 3, KroneckerDelta)
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assert X.replace(lambda x: True, lambda x: x) == X
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