| Server IP : 35.80.110.71 / Your IP : 216.73.216.221 Web Server : Apache/2.4.58 (Ubuntu) System : Linux ip-172-31-21-44 6.17.0-1019-aws #19~24.04.1-Ubuntu SMP Tue Jun 23 18:53:06 UTC 2026 x86_64 User : ubuntu ( 1000) PHP Version : 8.3.31 Disable Function : NONE MySQL : OFF | cURL : ON | WGET : ON | Perl : ON | Python : OFF | Sudo : ON | Pkexec : OFF Directory : /lib/python3/dist-packages/sympy/tensor/__pycache__/ |
Upload File : |
�
M�ZdF � � � d dl mZ d dlmZ d dlmZ d dlmZ d dlm Z d dl
m Z d dl m
Z
G d� d e� Zed
� � Z G d � d e� Zy
)� )�Iterable)�singledispatch)�Expr)�Mul)�S)�sympify)�global_parametersc �< � e Zd ZdZdZd� Zd� Zd� Zed� � Z d� Z
y) �
TensorProductz,
Generic class for tensor products.
Fc �J � ddl m}m}m} ddlm} ddlm} ddlm } |D � cg c]
} t | � �� }} |j dt j � }
|
st j | g|��� } | S g } g }
t j" }|D ]Q } t% | t& ||f� r| j) || � � �.t% | |f� r|
j) | � �M|| z }�S | || � z }t+ |
� dk( r|S |dk7 r|g|
z }n|
}t j | g|��i |��} || � S c c} w )Nr )� NDimArray�
tensorproduct�Array)�
MatrixExpr)�
MatrixBase)�flatten�evaluate� )�sympy.tensor.arrayr
r r �"sympy.matrices.expressions.matexprr �sympy.matrices.matricesr �sympy.strategiesr r �getr r r �__new__r �One�
isinstancer �append�len)�cls�args�kwargsr
r r r r r �argr �obj�arrays�other�scalar�coeff�newargss �8/usr/lib/python3/dist-packages/sympy/tensor/functions.pyr zTensorProduct.__new__ s � �F�F�A�6�,�(,�-���� �-��-��:�:�j�*;�*D�*D�E����,�,�s�*�T�*�C��J���������� �C��#��*�i� @�A��
�
�e�C�j�)��C�*� �/�� � �S�!��#�
��
� �}�f�-�-�� �u�:��?��L� �A�:� �g��o�G��G��l�l�3�3��3�F�3���s�|���5 .s �D c �, � t | j � S �N)r �shape)�selfs r) �rankzTensorProduct.rank3 s � ��4�:�:�� � c � � ddl m} | j D �cg c], }t |d� r |j n ||� j ��. c}S c c}w )Nr )r r, )r r r �hasattrr, )r- r �is r) �_get_args_shapesz TensorProduct._get_args_shapes6 s7 � �,�LP�I�I�V�q�7�1�g�.����E�!�H�N�N�B�V�V��Vs �1A c �: � | j � }t |d� S )N� )r3 �sum)r- �
shape_lists r) r, zTensorProduct.shape: s � ��*�*�,�
��:�r�"�"r/ c � �� t �� �t j �fd�t | j | j � � D � � S )Nc 3 �j �K � | ]* \ }}|j t �fd �|D � � � �� �, y�w)c 3 �4 �K � | ] }t �� �� � y �wr+ )�next)�.0r2 �indexs �r) � <genexpr>z6TensorProduct.__getitem__.<locals>.<genexpr>.<genexpr>B s �� �� �!;�!�$�u�+�!;�s �N)� __getitem__�tuple)r< r" �shpr= s �r) r> z,TensorProduct.__getitem__.<locals>.<genexpr>A s1 �� �� �
���S�
�O�O�E�!;�s�!;� ;� <�
�s �03)�iterr �fromiter�zipr r3 )r- r= s `r) r? zTensorProduct.__getitem__? s> �� ��U� ���|�|�
� �� � �4�+@�+@�+B� C�
�
�
r/ N) �__name__�
__module__� __qualname__�__doc__� is_numberr r. r3 �propertyr, r? r5 r/ r) r r s8 � �� �I� �D �W� �#� �#�
r/ r c �N � t | d� r | j S t d| z � �)a�
Return the shape of the *expr* as a tuple. *expr* should represent
suitable object such as matrix or array.
Parameters
==========
expr : SymPy object having ``MatrixKind`` or ``ArrayKind``.
Raises
======
NoShapeError : Raised when object with wrong kind is passed.
Examples
========
This function returns the shape of any object representing matrix or array.
>>> from sympy import shape, Array, ImmutableDenseMatrix, Integral
>>> from sympy.abc import x
>>> A = Array([1, 2])
>>> shape(A)
(2,)
>>> shape(Integral(A, x))
(2,)
>>> M = ImmutableDenseMatrix([1, 2])
>>> shape(M)
(2, 1)
>>> shape(Integral(M, x))
(2, 1)
You can support new type by dispatching.
>>> from sympy import Expr
>>> class NewExpr(Expr):
... pass
>>> @shape.register(NewExpr)
... def _(expr):
... return shape(expr.args[0])
>>> shape(NewExpr(M))
(2, 1)
If unsuitable expression is passed, ``NoShapeError()`` will be raised.
>>> shape(Integral(x, x))
Traceback (most recent call last):
...
sympy.tensor.functions.NoShapeError: shape() called on non-array object: Integral(x, x)
Notes
=====
Array-like classes (such as ``Matrix`` or ``NDimArray``) has ``shape``
property which returns its shape, but it cannot be used for non-array
classes containing array. This function returns the shape of any
registered object representing array.
r, zA%s does not have shape, or its type is not registered to shape().)r1 r, � NoShapeError)�exprs r) r, r, G s0 � �z �t�W� ��z�z��
�K�d�R� T� Tr/ c � � e Zd ZdZy)rL an
Raised when ``shape()`` is called on non-array object.
This error can be imported from ``sympy.tensor.functions``.
Examples
========
>>> from sympy import shape
>>> from sympy.abc import x
>>> shape(x)
Traceback (most recent call last):
...
sympy.tensor.functions.NoShapeError: shape() called on non-array object: x
N)rE rF rG rH r5 r/ r) rL rL � s � �� r/ rL N)�collections.abcr � functoolsr �sympy.core.exprr �sympy.core.mulr �sympy.core.singletonr �sympy.core.sympifyr �sympy.core.parametersr r r, � ExceptionrL r5 r/ r) �<module>rW sJ �� $� $� � � "� &� 3�9
�D� 9
�x �?T� �?T�D �9� r/