|h &ddlZddlmZddZdZy)N)elliprgc |dks |dks|dkr tdtjdtj|z}tjtj|||f |z }tjtj|||f|zdz}t dD]k}||||z dzdk(r ||xxdzcc<tj ||||||} d| vsF||xxtj| | dkzcc<mtj|d|d|d|d|d|d|d|d|df\} } } |s:| t|z dz| t|z dzz| t|z dzzdk} | S| t|z dz| t|z dzz| t|z dzzdz } | S)aGenerate ellipsoid for given semi-axis lengths. The respective semi-axis lengths are given along three dimensions in Cartesian coordinates. Each dimension may use a different grid spacing. Parameters ---------- a : float Length of semi-axis along x-axis. b : float Length of semi-axis along y-axis. c : float Length of semi-axis along z-axis. spacing : 3-tuple of floats Grid spacing in three spatial dimensions. levelset : bool If True, returns the level set for this ellipsoid (signed level set about zero, with positive denoting interior) as np.float64. False returns a binarized version of said level set. Returns ------- ellipsoid : (M, N, P) array Ellipsoid centered in a correctly sized array for given `spacing`. Boolean dtype unless `levelset=True`, in which case a float array is returned with the level set above 0.0 representing the ellipsoid. r&Parameters a, b, and c must all be > 0)rrr) ValueErrornpr_ceilfloorrangearangemaxmgridfloat)abcspacinglevelsetoffsetlowhighdimnumxyzarrs R/var/www/html/test/engine/venv/lib/python3.12/site-packages/skimage/draw/draw3d.py ellipsoidr"s: QAFQABB UU7^beeGn ,F ''255Aq>/F* +C 88BEE!Q'NV+a/ 0DQx- IC A % * HMHiiC$s)WS\: C< Hs37|, ,H -hh Aa71:% Aa71:% Aa71:% 'GAq! E!H "a%(lq%88AaLQ;NNSTT JE!H "a%(lq%88AaLQ;NNRSS Jc|dks |dks|dkr tddtjz|z|z|z}d|ztd|dzz d|dzz d|dzz z}||fS)aCalculate analytical volume and surface area of an ellipsoid. The surface area of an ellipsoid is given by .. math:: S=4\pi b c R_G\!\left(1, \frac{a^2}{b^2}, \frac{a^2}{c^2}\right) where :math:`R_G` is Carlson's completely symmetric elliptic integral of the second kind [1]_. The latter is implemented as :py:func:`scipy.special.elliprg`. Parameters ---------- a : float Length of semi-axis along x-axis. b : float Length of semi-axis along y-axis. c : float Length of semi-axis along z-axis. Returns ------- vol : float Calculated volume of ellipsoid. surf : float Calculated surface area of ellipsoid. References ---------- .. [1] Paul Masson (2020). Surface Area of an Ellipsoid. https://analyticphysics.com/Mathematical%20Methods/Surface%20Area%20of%20an%20Ellipsoid.htm rrgUUUUUU?rrr)r r pir)rrrvolsurfs r!ellipsoid_statsr(As}B QAFQABB BEE/A  !A %C s7WQAXq1a4xQT: :D 9r#))?r)r)F)numpyr scipy.specialrr"r(r#r!r-s!9x*r#