-i6SSKrSSKJrJr SSKrSSKJr "SS\5r"SS\5r "SS \5r "S S 5r "S S \5r "SS\ 5r "SS\ 5r"SS5r"SS5rg)N)ABCabstractmethod) MapWrappercT\rSrSrSrS SjrSrSr\S5r \S5r S r S r g) VertexBase z Base class for a vertex. NcXl[UR5UlUb[U5UlO[5UlX0lg)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 rs S/var/www/html/venv/lib/python3.13/site-packages/scipy/optimize/_shgo_lib/_vertex.py__init__VertexBase.__init__ s6L >"gDGeDG cUR$N)r rs r__hash__VertexBase.__hash__$s yyrcUS;a[[U5SUS35eUS:Xa1[R"UR5UlUR $g)N)x_az object has no attribute ''r)AttributeErrortypenparrayr r)ritems r __getattr__VertexBase.__getattr__'sY w  DJ<0%%)F!"-. . 5=xx'DH88O rc[S5eNzKThis method is only implemented with an associated child of the base class.NotImplementedErrorrvs rconnectVertexBase.connect/!#HI Irc[S5er$r%r's r disconnectVertexBase.disconnect4r+rcrURUlURRU5 UR$)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 rr r0r rNN) __name__ __module__ __qualname____firstlineno____doc__rrr!rr)r-r2__static_attributes__rrrr sG.IIIIrrcL^\rSrSrSrS U4SjjrSrSrSrSr Sr U=r $) VertexScalarFieldKzu Add homology properties of a scalar field f: R^n --> R associated with the geometry built from the VertexBase class c>>[TU]XUS9 SUlSUlg)a Parameters ---------- x : tuple, vector of vertex coordinates field : callable, optional a scalar field f: R^n --> R associated with the geometry nn : list, optional list of nearest neighbours index : int, optional index of the vertex field_args : tuple, optional additional arguments to be passed to field g_cons : callable, optional constraints on the vertex g_cons_args : tuple, optional additional arguments to be passed to g_cons r rTN)superr check_min check_max) rr fieldr r field_argsg_cons g_cons_args __class__s rrVertexScalarField.__init__Qs'* /rcXLacXR;aSURRU5 URRU5 SUlSUlSUlSUlggg)zlConnects self to another vertex object v. Parameters ---------- v : VertexBase or VertexScalarField object TN)r r1rBrCr's rr)VertexScalarField.connecttsU =Qgg- GGKKN DDHHTN"DN!DNAKAK.=rcXR;aSURRU5 URRU5 SUlSUlSUlSUlgg)NT)r removerBrCr's rr-VertexScalarField.disconnectsN < GGNN1  DDKK "DN!DNAKAK rc^TR(a+[U4SjTR55TlSTlTR$)zBCheck whether this vertex is strictly less than all its neighboursc3V># UHnTRUR:v M g7frf.0r(rs r .VertexScalarField.minimiser..:'QDFFQSSL'&)F)rBallr _minrs`r minimiserVertexScalarField.minimisers3 >>:$''::DI"DNyyrc^TR(a+[U4SjTR55TlSTlTR$)zH Check whether this vertex is strictly greater than all its neighbours. c3V># UHnTRUR:v M g7frrQrSs rrU.VertexScalarField.maximiser..rWrXF)rCrYr _maxrs`r maximiserVertexScalarField.maximisers3 >>:$''::DI"DNyyr)r`rZrCrB)NNNr;Nr;) r5r6r7r8r9rr)r-r[rar: __classcell__rHs@rr=r=Ks1 GI*,!F"   rr=c6^\rSrSrSrSU4SjjrSrU=r$)VertexVectorFieldzx Add homology properties of a scalar field f: R^n --> R^m associated with the geometry built from the VertexBase class. r;c 6>[T U]XU S9 [S5e)Nr@z&This class is still a work in progress)rArr&) rr sfieldvfieldrE vfield_argsrFrGr rrHs rrVertexVectorField.__init__s# /!"JKKr)NNr;r;Nr;NN)r5r6r7r8r9rr:rcrds@rrfrfs! @B(,04LLrrfc0\rSrSrSrSrSrSrSrSr g) VertexCacheBasez7Base class for a vertex cache for a simplicial complex.cT[R"5UlSUlSUlg)Nr) collections OrderedDictcachenfevrrs rrVertexCacheBase.__init__s  ,,.   rc#T# URHnURUv M g7fr)rtr's r__iter__VertexCacheBase.__iter__s$A**Q- s&(c URS-$)z%Returns the size of the vertex cache.rrs rsizeVertexCacheBase.sizeszzA~rc$[S[UR5S35n[SU-5 [S[UR5S35 [SU-5 URH nURUR5 M" g)NzVertex cache of size: :=)lenrtprint print_out)rheadlenr(s rrVertexCacheBase.print_outst.s4::.?qAB cGm &s4::&7q9: cGmA JJqM # # %r)rtrruN) r5r6r7r8r9rrxr}rr:r;rrrnrnsA  &rrnc<^\rSrSrSrSU4SjjrSrSrSrU=r $) VertexCubezVertex class to be used for a pure simplicial complex with no associated differential geometry (single level domain that exists in R^n)c">[TU]XUS9 g)Nr@)rAr)rr r rrHs rrVertexCube.__init__s /rcXLaGXR;a7URRU5 URRU5 gggr)r r1r's rr)VertexCube.connects5 =Qgg- GGKKN DDHHTN.=rcXR;a7URRU5 URRU5 ggr)r rMr's rr-VertexCube.disconnects0 < GGNN1  DDKK  rr;r4) r5r6r7r8r9rr)r-r:rcrds@rrrsF0 rrc2^\rSrSrU4SjrSSjrSrU=r$)VertexCacheIndexc8>[TU]5 [Ulg)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   rcURU$![aN U=RS- slURXRS9nX0RU'URUs$f=f)Nr{r|)rtKeyErrorrrrr r xvals r __getitem__VertexCacheIndex.__getitem__s` !::a=  ! JJ!OJ;;q ;3D!JJqM::a=  !sAA)(A))rr)r5r6r7r8rrr:rcrds@rrrs ! ! !rrc|^\rSrSrSU4SjjrSSjrSrSrSrSr Sr S r S r S r S rS rSrSrU=r$)VertexCacheFieldc>[TU]5 SUl[UlXlX l[X5UlX0l X@l [X45Ul [5Ul[5UlSUlXPl[%U5UlUS:Xa8UR(UlUcUR,UlgUR0UlgUR2UlUcUR4UlgUR6Ulg)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. rqFr{N)rArrr=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. ars#'??DW Wt L L&&4"!!2ttn   r