ó  ‰\c@s>ddlZddlmZmZded„Zd„Z dS(iÿÿÿÿN(t ellipkinct ellipeincgð?cCs|dks$|dks$|dkr3tdƒ‚ntjdtj|}tjtj|||f |ƒ}tjtj|||f|dƒ}x–tdƒD]ˆ}||||ddkrØ||cd8 0iii(iii( t ValueErrortnptr_tceiltfloortrangetarangetmaxtmgridtfloat(tatbtctspacingtlevelsettoffsettlowthightdimtnumtxtytztarr((s2lib/python2.7/site-packages/skimage/draw/draw3d.pyt ellipsoids($$'! *(##c Csa|dks$|dks$|dkr3tdƒ‚n|||g}|jdtƒ|d}|d}|d}ddtj|||}tjd|d|d d ƒ}t|d|dd ƒ}|d|d|dt|d|d|dƒ}t||ƒ}t||ƒ} dtj|d||d||||| } || fS( s Calculates analytical surface area and volume for ellipsoid with semimajor axes aligned with grid dimensions of specified `spacing`. Parameters ---------- a : float Length of semimajor axis aligned with x-axis. b : float Length of semimajor axis aligned with y-axis. c : float Length of semimajor axis aligned with z-axis. Returns ------- vol : float Calculated volume of ellipsoid. surf : float Calculated surface area of ellipsoid. is&Parameters a, b, and c must all be > 0treverseiiig@gð?g@gà?( RtsorttTrueRtpitarcsinR tellip_Ftellip_E( R R RtabctvoltphitdtmtFtEtsurf((s2lib/python2.7/site-packages/skimage/draw/draw3d.pytellipsoid_statsCs$$   #! (gð?gð?gð?( tnumpyRt scipy.specialRR RR!tFalseRR*(((s2lib/python2.7/site-packages/skimage/draw/draw3d.pyts =