Coverage for /usr/lib/python3/dist-packages/sympy/matrices/expressions/adjoint.py: 57%

1from sympy.core import Basic 

2from sympy.functions import adjoint, conjugate 

3from sympy.matrices.expressions.transpose import transpose 

4from sympy.matrices.expressions.matexpr import MatrixExpr 

5 

6 

7class Adjoint(MatrixExpr): 

8 """ 

9 The Hermitian adjoint of a matrix expression. 

10 

11 This is a symbolic object that simply stores its argument without 

12 evaluating it. To actually compute the adjoint, use the ``adjoint()`` 

13 function. 

14 

15 Examples 

16 ======== 

17 

18 >>> from sympy import MatrixSymbol, Adjoint, adjoint 

19 >>> A = MatrixSymbol('A', 3, 5) 

20 >>> B = MatrixSymbol('B', 5, 3) 

21 >>> Adjoint(A*B) 

22 Adjoint(A*B) 

23 >>> adjoint(A*B) 

24 Adjoint(B)*Adjoint(A) 

25 >>> adjoint(A*B) == Adjoint(A*B) 

26 False 

27 >>> adjoint(A*B) == Adjoint(A*B).doit() 

28 True 

29 """ 

30 is_Adjoint = True 

31 

32 def doit(self, **hints): 

33 arg = self.arg 

34 if hints.get('deep', True) and isinstance(arg, Basic): 

35 return adjoint(arg.doit(**hints)) 

36 else: 

37 return adjoint(self.arg) 

38 

39 @property 

40 def arg(self): 

41 return self.args[0] 

42 

43 @property 

44 def shape(self): 

45 return self.arg.shape[::-1] 

46 

47 def _entry(self, i, j, **kwargs): 

48 return conjugate(self.arg._entry(j, i, **kwargs)) 

49 

50 def _eval_adjoint(self): 

51 return self.arg 

52 

53 def _eval_conjugate(self): 

54 return transpose(self.arg) 

55 

56 def _eval_trace(self): 

57 from sympy.matrices.expressions.trace import Trace 

58 return conjugate(Trace(self.arg)) 

59 

60 def _eval_transpose(self): 

61 return conjugate(self.arg)