+ ,i6^RIt^RIHtHt^RIt^RIHt!RR]4t!RR]4t !RR ]4t !R R 4t !R R ]4t !RR] 4t !RR] 4t!RR4t!RR4tR#)N)ABCabstractmethod) MapWrapperc`a]tRt^ toRtR RltRtRt]R4t ]R4t Rt R t Vt R#) VertexBasez Base class for a vertex. Nc Wn\VP4VnVe\V4VnM\4VnW0nR#)z Initiation of a vertex object. Parameters ---------- x : tuple or vector The geometric location (domain). nn : list, optional Nearest neighbour list. index : int, optional Index of vertex. N)xhashsetnnindex)selfr r r s&&&&B/usr/lib/python3/dist-packages/scipy/optimize/_shgo_lib/_vertex.py__init__VertexBase.__init__ s6L >"gDGeDG cVP#N)r rs&r__hash__VertexBase.__hash__$s yyrcVR9d\\V4 RV R24hVR8Xd2\P!VP4VnVP #R#)x_az object has no attribute ''N)r)AttributeErrortypenparrayr r)ritems&&r __getattr__VertexBase.__getattr__'sY w  DJ<0%%)F!"-. . 5=xx'DH88O rc\R4hzKThis method is only implemented with an associated child of the base class.NotImplementedErrorrvs&&rconnectVertexBase.connect/!#HI Irc\R4hr#r$r&s&&r disconnectVertexBase.disconnect4r*rc rVPVnVPPV4VP#)zReturns the star domain ``st(v)`` of the vertex. Parameters ---------- v : The vertex ``v`` in ``st(v)`` Returns ------- st : set A set containing all the vertices in ``st(v)`` )r staddrs&rstarVertexBase.star9s(''  Dwwr)r r r r/r rNN)__name__ __module__ __qualname____firstlineno____doc__rrr rr(r,r1__static_attributes____classdictcell__ __classdict__s@rrr sO.IIIIrrcRaa]tRt^KtoRtRV3RlltRtRtRtRt Rt Vt V;t #) VertexScalarFieldzu Add homology properties of a scalar field f: R^n --> R associated with the geometry built from the VertexBase class c F<\SV`WVR7RVnRVnR#)a Parameters ---------- x : tuple, vector of vertex coordinates field : callable, optional a scalar field f: R^n --> R associated with the geometry nn : list, optional list of nearest neighbours index : int, optional index of the vertex field_args : tuple, optional additional arguments to be passed to field g_cons : callable, optional constraints on the vertex g_cons_args : tuple, optional additional arguments to be passed to g_cons r r TN)superr check_min check_max) rr fieldr r field_argsg_cons g_cons_args __class__s &&&&&&&&rrVertexScalarField.__init__Qs'* /rc WJdgWP9dUVPPV4VPPV4RVnRVnRVnRVnR#R#R#)zlConnects self to another vertex object v. Parameters ---------- v : VertexBase or VertexScalarField object TN)r r0rBrCr&s&&rr(VertexScalarField.connecttsU =Qgg- GGKKN DDHHTN"DN!DNAKAK.=rcWP9dUVPPV4VPPV4RVnRVnRVnRVnR#R#)TN)r removerBrCr&s&&rr,VertexScalarField.disconnectsN < GGNN1  DDKK "DN!DNAKAK rc aSP'd[\;QJd)V3RlSP4F 'dK RM RM!V3RlSP44SnRSnSP#)zBCheck whether this vertex is strictly less than all its neighboursc3V<"TFpSPVP8xK R#5irf.0r'rs& r .VertexScalarField.minimiser..:'QDFFQSSL'&)FT)rBallr _minrsfr minimiserVertexScalarField.minimisersI >>>:$''::$''::DI"DNyyrc aSP'd[\;QJd)V3RlSP4F 'dK RM RM!V3RlSP44SnRSnSP#)zH Check whether this vertex is strictly greater than all its neighbours. c3V<"TFpSPVP8xK R#5irrQrSs& rrU.VertexScalarField.maximiser..rWrXFT)rCrYr _maxrsfr maximiserVertexScalarField.maximisersI >>>:$''::$''::DI"DNyyr)r`rZrCrB)NNNNrc) r4r5r6r7r8rr(r,r[rar9r: __classcell__rHr<s@@rr>r>Ks) !F"   rr>c:aa]tRt^toRtRV3RlltRtVtV;t#)VertexVectorFieldzx Add homology properties of a scalar field f: R^n --> R^m associated with the geometry built from the VertexBase class. c <<\S V`WV R7\R4h)r@z&This class is still a work in progress)rArr%) rr sfieldvfieldrE vfield_argsrFrGr r rHs &&&&&&&&&&rrVertexVectorField.__init__s# /!"JKKrrc)NNrcrcNrcNN) r4r5r6r7r8rr9r:rdres@@rrgrgs LLrrgc<a]tRt^toRtRtRtRtRtRt Vt R#)VertexCacheBasez7Base class for a vertex cache for a simplicial complex.cV\P!4Vn^VnRVnR#)rN) collections OrderedDictcachenfevr rs&rrVertexCacheBase.__init__s  ,,.   rc#^"VPFpVPV,xK R#5ir)rsr&s& r__iter__VertexCacheBase.__iter__s$A**Q- s+-c (VP^,#)z%Returns the size of the vertex cache.r rs&rsizeVertexCacheBase.sizeszzA~rc>\R\VP4 R24p\RV,4\R\VP4 R24\RV,4VPF$pVPV,P4K& R#)zVertex cache of size: :=N)lenrsprint print_out)rheadlenr's& rrVertexCacheBase.print_outst.s4::.?qAB cGm &s4::&7q9: cGmA JJqM # # %r)rsr rtN) r4r5r6r7r8rrwr{rr9r:r;s@rrnrns!A  &&rrncFaa]tRt^toRtRV3RlltRtRtRtVt V;t #) VertexCubezVertex class to be used for a pure simplicial complex with no associated differential geometry (single level domain that exists in R^n)c*<\SV`WVR7R#)r@N)rAr)rr r r rHs&&&&rrVertexCube.__init__s /rcWJdKWP9d9VPPV4VPPV4R#R#R#r)r r0r&s&&rr(VertexCube.connects5 =Qgg- GGKKN DDHHTN.=rcWP9d9VPPV4VPPV4R#R#r)r rMr&s&&rr,VertexCube.disconnects0 < GGNN1  DDKK  rrcr3) r4r5r6r7r8rr(r,r9r:rdres@@rrrsF0 rrc<aa]tRt^toV3RltRRltRtVtV;t#)VertexCacheIndexc :<\SV`4\VnR#)z Class for a vertex cache for a simplicial complex without an associated field. Useful only for building and visualising a domain complex. Parameters ---------- N)rArrVertex)rrHs&rrVertexCacheIndex.__init__s   rcVPV,# \dZT;P^, unTPYPR7pY0PT&TPT,u#i;i)rz)rsKeyErrorr rrr r xvals&&& r __getitem__VertexCacheIndex.__getitem__s` !::a=  ! JJ!OJ;;q ;3D!JJqM::a=  !sA!A98A9)rr) r4r5r6r7rrr9r:rdres@@rrrs ! ! !rrcaa]tRt^toRV3RlltRRltRtRtRtRt Rt Rt R t R t R tR tR tRtVtV;t#)VertexCacheFieldc $<\SV`4RVn\VnWnW n\W4VnW0n W@n \W44Vn \4Vn\4VnRVnWPn\%V4VnV^8Xd<VP(VnVfVP,VnR#VP0VnR#VP2VnVfVP4VnR#VP6VnR#)aw Class for a vertex cache for a simplicial complex with an associated field. Parameters ---------- field : callable Scalar or vector field callable. field_args : tuple, optional Any additional fixed parameters needed to completely specify the field function g_cons : dict or sequence of dict, optional Constraints definition. Function(s) ``R**n`` in the form:: g_cons_args : tuple, optional Any additional fixed parameters needed to completely specify the constraint functions workers : int optional Uses `multiprocessing.Pool `) to compute the field functions in parallel. FNrp)rArr r>rrDrE FieldWrapperwfieldrFrGConstraintWrapperwgconsr gpoolfpoolsfc_lockworkersr _mapwrapper proc_gpool process_gpoolproc_fpool_nog process_fpool proc_fpool_g pproc_gpoolpproc_fpool_nog pproc_fpool_g)rrDrErFrGrrHs&&&&&&rrVertexCacheField.__init__s0  '  $"55  &'< U U   %g. argrnrrrrrrcrrrs#'??DW Wt L L&&4"!!2ttn   r