(&h? fdZddlmZmZmZmZddlZddlZgdZ dZ dZ dd Z dd Z dd ZddZdS)zBAffine transforms, both in general and specific, named transforms.)cospisintanN)affine_transformrotatescaleskew translatec V t|dkr!d |\ |jrd d dxxx x n=t|dkrd |\  |jsd ntd f d}tj|| dk S) a$Return a transformed geometry using an affine transformation matrix. The coefficient matrix is provided as a list or tuple with 6 or 12 items for 2D or 3D transformations, respectively. For 2D affine transformations, the 6 parameter matrix is:: [a, b, d, e, xoff, yoff] which represents the augmented matrix:: [x'] / a b xoff \ [x] [y'] = | d e yoff | [y] [1 ] \ 0 0 1 / [1] or the equations for the transformed coordinates:: x' = a * x + b * y + xoff y' = d * x + e * y + yoff For 3D affine transformations, the 12 parameter matrix is:: [a, b, c, d, e, f, g, h, i, xoff, yoff, zoff] which represents the augmented matrix:: [x'] / a b c xoff \ [x] [y'] = | d e f yoff | [y] [z'] | g h i zoff | [z] [1 ] \ 0 0 0 1 / [1] or the equations for the transformed coordinates:: x' = a * x + b * y + c * z + xoff y' = d * x + e * y + f * z + yoff z' = g * x + h * y + i * z + zoff ? z,'matrix' expects either 6 or 12 coefficientscj dkrB|j\}}|z |zzz} |z |zzz}tj||gj}nidkrc|j\}}}|z |zz |zzz} |z |zz |zzz}|z|zz|zzz}tj|||gj}|S)Nrr)Tnpstack)coordsxyxpypresultzzpabcdefghindimxoffyoffzoffs K/var/www/html/reinick/venv/lib/python3.11/site-packages/shapely/affinity.py_affine_coordsz(affine_transform.._affine_coordsHs 1998DAqQQ%BQQ%BXr2h'')FF QYYhGAq!QQQ&-BQQQ&-BQQQ&-BXr2rl++-F ) include_z)lenhas_z ValueErrorshapely transform)geommatrixr-rr r!r"r#r$r%r&r'r(r)r*r+s @@@@@@@@@@@@@r,rr s.L 6{{a!'1aD$ : 'DA#& &A & &A &D V  6<31aAq!Q4tz DGHHH$  T>TQY G G GGr.c|dkr|j\}}}}||zdz ||zdz f}nc|dkr|jjd}nJt|trt d|dt |ddd kr |jd}t|d vrt d |d kr |dd St|d kr|d zS|S)a5Return 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)rrz8Expected number of items in 'origin' to be either 2 or 3r)r)boundsr9r isinstancestrr2getattrr0)r5originr(minxminymaxxmaxys r,interpret_originrE]s!%dD$$;#%t s':; :  %a( FC "IVIIIJJJ d + +w 6 6q! 6{{&  STTT qyyac{ v;;!  F? "Mr.r8Fc X|jr|S|s |tzdz }t|}t|}t |dkrd}t |dkrd}t ||d\}}|| d||dddd|||zz ||zz|||zz ||zz df }t ||S)aReturn 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rasHH"""""""""""" F F FNHNHNHbB(*(*(*(*V * * * *F(*(*(*(*V******r.