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57 lines
1.5 KiB
57 lines
1.5 KiB
from sympy.tensor.functions import TensorProduct
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from sympy.matrices.dense import Matrix
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from sympy.matrices.expressions.matexpr import MatrixSymbol
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from sympy.tensor.array import Array
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from sympy.abc import x, y, z
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from sympy.abc import i, j, k, l
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A = MatrixSymbol("A", 3, 3)
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B = MatrixSymbol("B", 3, 3)
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C = MatrixSymbol("C", 3, 3)
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def test_TensorProduct_construction():
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assert TensorProduct(3, 4) == 12
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assert isinstance(TensorProduct(A, A), TensorProduct)
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expr = TensorProduct(TensorProduct(x, y), z)
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assert expr == x*y*z
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expr = TensorProduct(TensorProduct(A, B), C)
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assert expr == TensorProduct(A, B, C)
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expr = TensorProduct(Matrix.eye(2), Array([[0, -1], [1, 0]]))
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assert expr == Array([
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[
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[[0, -1], [1, 0]],
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[[0, 0], [0, 0]]
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],
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[
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[[0, 0], [0, 0]],
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[[0, -1], [1, 0]]
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]
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])
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def test_TensorProduct_shape():
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expr = TensorProduct(3, 4, evaluate=False)
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assert expr.shape == ()
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assert expr.rank() == 0
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expr = TensorProduct(Array([1, 2]), Array([x, y]), evaluate=False)
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assert expr.shape == (2, 2)
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assert expr.rank() == 2
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expr = TensorProduct(expr, expr, evaluate=False)
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assert expr.shape == (2, 2, 2, 2)
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assert expr.rank() == 4
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expr = TensorProduct(Matrix.eye(2), Array([[0, -1], [1, 0]]), evaluate=False)
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assert expr.shape == (2, 2, 2, 2)
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assert expr.rank() == 4
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def test_TensorProduct_getitem():
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expr = TensorProduct(A, B)
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assert expr[i, j, k, l] == A[i, j]*B[k, l]
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