gzi? lSrSSKJrJrJrJr SSKrSSKr/SQr Sr Sr S Sjr S Sjr S S jrSS jrg)zBAffine transforms, both in general and specific, named transforms.)cospisintanN)affine_transformrotatescaleskew translatec b^^^^^^^ ^ ^ ^ ^ ^^[U5S:Xa+Sm Uummmmm mUR(aSm Sm S=m=m=m =m mO?[U5S:Xa%Sm Uu mmmmmmm m m m mmUR(dSm O [S5eUUUUUUU U U U U UU4 Sjn[R"XT S:HS 9$) aReturn a transformed geometry using an affine transformation matrix. The coefficient matrix is provided as a list or tuple with 6 or 12 items for 2D or 3D transformations, respectively. For 2D affine transformations, the 6 parameter matrix is:: [a, b, d, e, xoff, yoff] which represents the augmented matrix:: [x'] / a b xoff \ [x] [y'] = | d e yoff | [y] [1 ] \ 0 0 1 / [1] or the equations for the transformed coordinates:: x' = a * x + b * y + xoff y' = d * x + e * y + yoff For 3D affine transformations, the 12 parameter matrix is:: [a, b, c, d, e, f, g, h, i, xoff, yoff, zoff] which represents the augmented matrix:: [x'] / a b c xoff \ [x] [y'] = | d e f yoff | [y] [z'] | g h i zoff | [z] [1 ] \ 0 0 0 1 / [1] or the equations for the transformed coordinates:: x' = a * x + b * y + c * z + xoff y' = d * x + e * y + f * z + yoff z' = g * x + h * y + i * z + zoff ? z,'matrix' expects either 6 or 12 coefficientsc> TS:XaMURupTU-T U--T-nT U-T U--T-n[R"X4/5RnU$TS:XamURupnTU-T U--T U--T-nT U-T U--T U--T-nTU-TU--TU--T-n[R"X4U/5RnW$)Nrr)Tnpstack)coordsxyxpypresultzzpabcdefghindimxoffyoffzoffs M/home/mande/repo/quber/.venv/lib/python3.13/site-packages/shapely/affinity.py_affine_coords(affine_transform.._affine_coordsHs 1988DAQQ%BQQ%BXXrh'))F QYhhGA!QQQ&-BQQQ&-BQQQ&-BXXrrl+--F ) include_z)lenhas_z ValueErrorshapely transform)geommatrixr-rr r!r"r#r$r%r&r'r(r)r*r+s @@@@@@@@@@@@@r,rr sL 6{a!'1aD$ ::DA#& &A & &A &D V 6<31aAq!Q4tzzDGHH$   TTQY GGr/cUS:XaURup4pVXS-S- Xd-S- 4nOeUS:XaURRSnOE[U[5(a[ SU<S35e[ USS5S :XaURSn[U5S ;a [ S 5eUS :XaUSS $[U5S :XaUS -$U$)a!Return interpreted coordinate tuple for origin parameter. This is a helper function for other transform functions. The point of origin can be a keyword 'center' for the 2D bounding box center, 'centroid' for the geometry's 2D centroid, a Point object or a coordinate tuple (x0, y0, z0). centerg@centroidrz'origin' keyword z is not recognized geom_typeNPoint)rrz8Expected number of items in 'origin' to be either 2 or 3r)r)boundsr:r isinstancestrr3getattrr1)r6originr(minxminymaxxmaxys r,interpret_originrF]s!%D;#% s':; : %%a( FC ,VJ6HIJJ d +w 6q! 6{& STT qya{ v;! F? "Mr/c 2UR(aU$U(d U[-S- n[U5n[U5n[ U5S:aSn[ U5S:aSn[ XS5upgXE*SXTSSSSXfU-- Xu--XvU-- Xt-- S4 n[ X5$)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rbs>H"" FNHbB(*V *F(*V*r/