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62 lines
1.5 KiB
62 lines
1.5 KiB
5 months ago
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from sympy.core import Basic
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from sympy.functions import adjoint, conjugate
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from sympy.matrices.expressions.transpose import transpose
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from sympy.matrices.expressions.matexpr import MatrixExpr
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class Adjoint(MatrixExpr):
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"""
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The Hermitian adjoint of a matrix expression.
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This is a symbolic object that simply stores its argument without
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evaluating it. To actually compute the adjoint, use the ``adjoint()``
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function.
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Examples
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========
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>>> from sympy import MatrixSymbol, Adjoint, adjoint
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>>> A = MatrixSymbol('A', 3, 5)
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>>> B = MatrixSymbol('B', 5, 3)
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>>> Adjoint(A*B)
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Adjoint(A*B)
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>>> adjoint(A*B)
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Adjoint(B)*Adjoint(A)
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>>> adjoint(A*B) == Adjoint(A*B)
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False
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>>> adjoint(A*B) == Adjoint(A*B).doit()
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True
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"""
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is_Adjoint = True
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def doit(self, **hints):
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arg = self.arg
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if hints.get('deep', True) and isinstance(arg, Basic):
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return adjoint(arg.doit(**hints))
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else:
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return adjoint(self.arg)
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@property
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def arg(self):
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return self.args[0]
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@property
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def shape(self):
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return self.arg.shape[::-1]
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def _entry(self, i, j, **kwargs):
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return conjugate(self.arg._entry(j, i, **kwargs))
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def _eval_adjoint(self):
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return self.arg
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def _eval_conjugate(self):
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return transpose(self.arg)
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def _eval_trace(self):
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from sympy.matrices.expressions.trace import Trace
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return conjugate(Trace(self.arg))
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def _eval_transpose(self):
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return conjugate(self.arg)
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