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Editing: transform.cpython-311.pyc
� ��c� � �n � d Z dZddlmZmZmZmZ d� Zd� Zd� Z d� Z d� Z d � Z d � Z d � Zd � Zd � Zd� Zd� ZdS )z'functions for 2D affine transformations) � nullTransform� translate�scale�rotate�skewX�skewY�mmult�inverse�zTransformPoint�transformPoint�transformPoints�zTransformPoints� )�cos�sin�tan�radiansc � � dS )N)� r r r r r � r � �>/usr/lib/python3/dist-packages/reportlab/graphics/transform.pyr r s � � � r c � � dddd| |fS �Nr r r )�dx�dys r r r s � � �q�!�Q��B� � r c � � | dd|ddfS �Nr r )�sx�sys r r r s � � ��1�b�!�Q� � r c �n � t | � � }t |� � }t |� � }||| |ddfS r )r r r )�angle�a�sina�cosas r r r s8 � �����A� �q�6�6�D� �q�6�6�D� �$���t�Q�� *�*r c �F � ddt t | � � � � dddfS r �r r �r! s r r r " s# � � �q�#�g�e�n�n�%�%�q�!�Q� /�/r c �F � dt t | � � � � ddddfS r r& r' s r r r % s# � � �s�7�5�>�>�"�"�A�q�!�Q� /�/r c �� � | d |d z | d |d z z | d |d z | d |d z z | d |d z | d |d z z | d |d z | d |d z z | d |d z | d |d z z | d z | d |d z | d |d z z | d z fS )zA postmultiplied by Br � r � � � r )�A�Bs r r r ( s� � � �a�D��1��I��!��Q�q�T� � !� �a�D��1��I��!��Q�q�T� � !� �a�D��1��I��!��Q�q�T� � !� �a�D��1��I��!��Q�q�T� � !� �a�D��1��I��!��Q�q�T� � !�A�a�D� (� �a�D��1��I��!��Q�q�T� � !�A�a�D� (� *� *r c �j � t | d | d z | d | d z z � � }| d |z | d |z | d |z | d |z g}t ||d | d z |d | d z z |d | d z |d | d z z gz � � S )zBFor A affine 2D represented as 6vec return 6vec version of A**(-1)r r+ r* r r, r- )�float�tuple)r. �det�Rs r r r 6 s� � � ��!��Q�q�T� �A�a�D��1��I�%� &� &�C� �1��c��A�a�D�5��9�q��t�e�C�i��1��c��2�A� ��Q�q�T�E�!�A�$�J�q��t�A�a�D�y�(�!�A�$��q��t��A�a�D��1��I�)=�>�>� ?� ?�?r c � � | d |d z | d |d z z | d |d z | d |d z z fS )zBApply the homogenous part of atransformation a to vector v --> A*vr r* r r+ r �r. �vs r r r = sG � � �a�D��1��I�a��d�1�Q�4�i� ��!��Q�q�T� �!�A�$�q��t�)� 3� 4�4r c � � | d |d z | d |d z z | d z | d |d z | d |d z z | d z fS )z*Apply transformation a to vector v --> A*vr r* r r, r+ r- r r6 s r r r A sY � � �a�D��1��I�a��d�1�Q�4�i� ��!�� $�Q�q�T�!�A�$�Y�q��t�A�a�D�y�%8��1��%=� >�>r c �l � � � fd�|D � � }t |t � � rt |� � }|S )Nc �0 �� g | ]}t �|� � ��S r )r )�.0r7 �matrixs �r � <listcomp>z#transformPoints.<locals>.<listcomp>F s# �� �-�-�-�a� ��q� !� !�-�-�-r )� isinstancer2 )r< �V�rs ` r r r E s; �� �-�-�-�-�1�-�-�-�A��!�E���(��a���A� �Hr c �B � t t | fd�|� � � � S )Nc �" � t || � � S )N)r )�xr< s r �<lambda>z"zTransformPoints.<locals>.<lambda>K s � �O�F�1�,E�,E� r )�list�map)r< r? s r r r J s# � � ��F�E�E�E�q�I�I� J� J�Jr N)�__doc__�__all__�mathr r r r r r r r r r r r r r r r r r r �<module>rJ s� �� -� -� �� (� '� '� '� '� '� '� '� '� '� '� '� � � � � � � � � �+� +� +� 0� 0� 0�0� 0� 0� *� *� *� @� @� @�5� 5� 5�?� ?� ?� � � � K� K� K� K� Kr
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