a J5d@spdZddlmZmZmZmZddlZddlZgdZ ddZ ddZ dd d Z dddZ dddZdddZdS)zBAffine transforms, both in general and specific, named transforms.)cospisintanN)affine_transformrotatescaleskew translatec st|dkrDd}|\}}}}}}|jrd}d} d} } } } }n@t|dkr|d}|\ }}} }}} } } } }}}|jsd}ntd|dkrtj||g||ggtdtj||gtdn:tj||| g||| g| | | ggtdtj|||gtdfd d }tj|||dkd S) a$Return a transformed geometry using an affine transformation matrix. The coefficient matrix is provided as a list or tuple with 6 or 12 items for 2D or 3D transformations, respectively. For 2D affine transformations, the 6 parameter matrix is:: [a, b, d, e, xoff, yoff] which represents the augmented matrix:: [x'] / a b xoff \ [x] [y'] = | d e yoff | [y] [1 ] \ 0 0 1 / [1] or the equations for the transformed coordinates:: x' = a * x + b * y + xoff y' = d * x + e * y + yoff For 3D affine transformations, the 12 parameter matrix is:: [a, b, c, d, e, f, g, h, i, xoff, yoff, zoff] which represents the augmented matrix:: [x'] / a b c xoff \ [x] [y'] = | d e f yoff | [y] [z'] | g h i zoff | [z] [1 ] \ 0 0 0 1 / [1] or the equations for the transformed coordinates:: x' = a * x + b * y + c * z + xoff y' = d * x + e * y + f * z + yoff z' = g * x + h * y + i * z + zoff ? z,'matrix' expects either 6 or 12 coefficients)Zdtypecst|jjS)N)npmatmulT)coordsAoffL/var/www/html/django/DPS/env/lib/python3.9/site-packages/shapely/affinity.py_affine_coordsGsz(affine_transform.._affine_coords)Z include_z)lenZhas_z ValueErrorrarrayfloatshapelyZ transform)geommatrixndimabdexoffyofficfghzoffrrrrr s(&  &rcCs|dkr0|j\}}}}||d||df}nL|dkrF|jjd}n6t|trbtd|dnt|ddd kr||jd}t|d vrtd |d kr|dd St|d kr|d S|SdS)a6Returns interpreted coordinate tuple for origin parameter. This is a helper function for other transform functions. The point of origin can be a keyword 'center' for the 2D bounding box center, 'centroid' for the geometry's 2D centroid, a Point object or a coordinate tuple (x0, y0, z0). centerg@centroidrz'origin' keyword z is not recognizedZ geom_typeNZPoint)r r z8Expected number of items in 'origin' to be either 2 or 3r )r)Zboundsr0r isinstancestrrgetattrr)r originr"ZminxZminyZmaxxZmaxyrrrinterpret_originMs      r5r/Fc Cs|jr |S|s|td}t|}t|}t|dkr:d}t|dkrJd}t||d\}}|| d||dddd||||||||||df }t||S)aReturns a rotated geometry on a 2D plane. The angle of rotation can be specified in either degrees (default) or radians by setting ``use_radians=True``. Positive angles are counter-clockwise and negative are clockwise rotations. The point of origin can be a keyword 'center' for the bounding box center (default), 'centroid' for the geometry's centroid, a Point object or a coordinate tuple (x0, y0). The affine transformation matrix for 2D rotation is: / cos(r) -sin(r) xoff \ | sin(r) cos(r) yoff | \ 0 0 1 / where the offsets are calculated from the origin Point(x0, y0): xoff = x0 - x0 * cos(r) + y0 * sin(r) yoff = y0 - x0 * sin(r) - y0 * cos(r) f@V瞯sA! + # +