ó ¡¼™\c @ sÄdZddlmZmZddlmZmZmZddlm Z m Z m Z m Z m Z mZeddƒZedeƒZed ed d gƒZed ed dgƒZgd d d dgD]Zeeƒ^qÇ\ZZZZejeeege ededƒe eeƒgdedeƒejeeegee eƒee eƒgdedeƒ[[[[ejƒ\e_e_\e_e_\e_e_ejƒ\e_e_\e_e_\e_e_ejƒ\e_e_\e_e_\e_e_ejƒ\e_e_\e_e_\e_e_ej ƒ\e_!e_"\e_!e_"\e_!e_"ej ƒ\e_#e_$\e_#e_$\e_#e_$eddƒZ%ede%ƒZ&ed e&d d dgƒZ'ede&dddgƒZ(ede&d ddgƒZ)gd d dddd ddgD]Zeeƒ^qZ\ZZZ*Z+Z,ZZZ-e'je(eee*ge ededƒe eeƒe*gdedeƒe(je'e+e,e*ge+e e,ƒe+e e,ƒe*gdedeƒe'je)eee*ge edede*dƒe e*e edede*dƒƒe eeƒgdedeƒe)je'eee-gee eƒe e-ƒee eƒe e-ƒee eƒgdedeƒe(je)e+e,e*ge e+de*dƒe e*e e+de*dƒƒe,gdedeƒe)je(eee-gee eƒe-ee eƒgdedeƒ[[[*[+[,[[[-e'jƒ\e'_e'_e'_*e(jƒ\e(_+e(_,e(_*e)jƒ\e)_e)_e)_-e'jƒ\e'_e'_e'_.e(jƒ\e(_/e(_0e(_.e)jƒ\e)_e)_e)_1e'j ƒ\e'_!e'_"e'_2e(j ƒ\e(_3e(_4e(_2e)j ƒ\e)_#e)_$e)_5dS(stPredefined R^n manifolds together with common coord. systems. Coordinate systems are predefined as well as the transformation laws between them. Coordinate functions can be accessed as attributes of the manifold (eg `R2.x`), as attributes of the coordinate systems (eg `R2_r.x` and `R2_p.theta`), or by using the usual `coord_sys.coord_function(index, name)` interface. iÿÿÿÿ(tprint_functiontdivisioni(tManifoldtPatcht CoordSystem(tsqrttatan2tacostsintcostDummysR^2itorigint rectangulartxtytpolartrtthetatinverset fill_in_gapssR^3itzt cylindricaltrhotpsit sphericaltphiN(6t__doc__t __future__RRtdiffgeomRRRtsympyRRRRR R tR2t R2_origintR2_rtR2_ptsR RRRt connect_totFalsetcoord_functionst base_vectorste_xte_yte_rte_thetat base_oneformstdxtdytdrtdthetatR3t R3_origintR3_rtR3_ctR3_sRRRRte_zte_rhote_psite_phitdztdrhotdpsitdphi(((s0lib/python2.7/site-packages/sympy/diffgeom/rn.pyt st.7'    888888 C* # #3 * = #