o JfG @spdZddlmZmZmZmZddlZddlZgdZ ddZ ddZ dd d Z dddZ dddZdddZdS)zBAffine transforms, both in general and specific, named transforms.)cospisintanN)affine_transformrotatescaleskew translatec st|dkr"d |\ |jr!d dd n t|dkr>d |\  |js=d ntd f dd }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 coefficientscs dkr'|j\}}|| }|| }t||gj}|S dkrd|j\}}}||| }||| }||| }t|||gj}|S)Nr r )Tnpstack)coordsxyxpypresultzzp abcdefghindimxoffyoffzoff\/home/deployuser/azure_apps/autowriter/venv/lib/python3.10/site-packages/shapely/affinity.py_affine_coordsHs  z(affine_transform.._affine_coords) include_z)lenhas_z ValueErrorshapely transform)geommatrixr,r*rr+r s" & $ rcCs|dkr|j\}}}}||d||df}n%|dkr#|jjd}nt|tr0td|dt|ddd kr=|jd}t|d vrGtd |d krQ|dd St|d kr[|d S|S)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 recognized geom_typeNPoint)r r z8Expected number of items in 'origin' to be either 2 or 3r )r)boundsr6r isinstancestrr0getattrr.)r3originr&minxminymaxxmaxyr*r*r+interpret_origin]s       rBr5Fc Cs|jr|S|s |td}t|}t|}t|dkrd}t|dkr%d}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sQ ! + #+