sg6ddlZddlmZmZddlZddlmZGddeZGddeZ Gdd eZ Gd d Z Gd d eZ Gdde Z Gdde ZGddZGddZy)N)ABCabstractmethod) MapWrappercJeZdZdZd dZdZdZedZedZ dZ y) VertexBasez" Base class for a vertex. Nc||_t|j|_|t||_||_yt|_||_y)a 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 S/var/www/html/venv/lib/python3.12/site-packages/scipy/optimize/_shgo_lib/_vertex.py__init__zVertexBase.__init__ sEL >"gDG eDG c|jSN)r rs r__hash__zVertexBase.__hash__$s yyrc|dvrtt|d|d|dk(r0tj|j|_|j Sy)N)x_az object has no attribute ''r)AttributeErrortypenparrayr r)ritems r __getattr__zVertexBase.__getattr__'sY w  DJ<0%%)F!"-. . 5=xx'DH88O rctdNzKThis method is only implemented with an associated child of the base class.NotImplementedErrorrvs rconnectzVertexBase.connect/!#HI Irctdr r!r#s r disconnectzVertexBase.disconnect4r&rcr|j|_|jj||jS)aReturns the star domain ``st(v)`` of the vertex. Parameters ---------- v : The vertex ``v`` in ``st(v)`` Returns ------- st : set A set containing all the vertices in ``st(v)`` )r staddrs rstarzVertexBase.star9s(''  DwwrNN) __name__ __module__ __qualname____doc__rrrrr%r(r,rrrr sG.IIIIrrc@eZdZdZ dfd ZdZdZdZdZxZ S)VertexScalarFieldz Add homology properties of a scalar field f: R^n --> R associated with the geometry built from the VertexBase class cFt||||d|_d|_y)aY Parameters ---------- x : tuple, vector of vertex coordinates field : callable, optional a scalar field f: R^n --> R associated with the geometry nn : list, optional list of nearest neighbours index : int, optional index of the vertex field_args : tuple, optional additional arguments to be passed to field g_cons : callable, optional constraints on the vertex g_cons_args : tuple, optional additional arguments to be passed to g_cons r r TN)superr check_min check_max) rr fieldr r field_argsg_cons g_cons_args __class__s rrzVertexScalarField.__init__Qs)* r/rc||urb||jvrS|jj||jj|d|_d|_d|_d|_yyy)zConnects self to another vertex object v. Parameters ---------- v : VertexBase or VertexScalarField object TN)r r+r8r9r#s rr%zVertexScalarField.connecttsY D=Qdgg- GGKKN DDHHTN"DN!DNAKAK.=rc||jvrS|jj||jj|d|_d|_d|_d|_yy)NT)r remover8r9r#s rr(zVertexScalarField.disconnectsP < GGNN1  DDKK "DN!DNAKAK rcjr*tfdjD_d_jS)zMCheck whether this vertex is strictly less than all its neighboursc3PK|]}j|jkywrf.0r$rs r z.VertexScalarField.minimiser..:QDFFQSSL:#&F)r8allr _minrs`r minimiserzVertexScalarField.minimisers3 >>:$''::DI"DNyyrcjr*tfdjD_d_jS)z` Check whether this vertex is strictly greater than all its neighbours. c3PK|]}j|jkDywrrDrFs rrHz.VertexScalarField.maximiser..rIrJF)r9rKr _maxrs`r maximiserzVertexScalarField.maximisers3 >>:$''::DI"DNyyr)NNNr2Nr2) r.r/r0r1rr%r(rMrQ __classcell__r>s@rr4r4Ks, GI*,!F"  rr4c*eZdZdZ dfd ZxZS)VertexVectorFieldz Add homology properties of a scalar field f: R^n --> R^m associated with the geometry built from the VertexBase class. c >t |||| td)Nr6z&This class is still a work in progress)r7rr") rr sfieldvfieldr; vfield_argsr<r=r r r>s rrzVertexVectorField.__init__s% r/!"JKKr)NNr2r2Nr2NN)r.r/r0r1rrRrSs@rrUrUs! @B(,04LLrrUc(eZdZdZdZdZdZdZy)VertexCacheBasez7Base class for a vertex cache for a simplicial complex.cRtj|_d|_d|_y)Nr) collections OrderedDictcachenfevr rs rrzVertexCacheBase.__init__s  ,,.   rc#PK|jD]}|j|ywr)r`r#s r__iter__zVertexCacheBase.__iter__s* A**Q-  s$&c |jdzS)z%Returns the size of the vertex cache.r rs rsizezVertexCacheBase.sizeszzA~rc tdt|jd}td|ztdt|jdtd|z|jD]}|j|j!y)NzVertex cache of size: :=)lenr`print print_out)rheadlenr$s rrmzVertexCacheBase.print_outsy.s4::.?qAB cGm &s4::&7q9: cGm &A JJqM # # % &rN)r.r/r0r1rrcrgrmr2rrr[r[sA  &rr[c0eZdZdZdfd ZdZdZxZS) VertexCubezVertex class to be used for a pure simplicial complex with no associated differential geometry (single level domain that exists in R^n)c*t||||y)Nr6)r7r)rr r r r>s rrzVertexCube.__init__s r/rc||urF||jvr7|jj||jj|yyyr)r r+r#s rr%zVertexCube.connects9 D=Qdgg- GGKKN DDHHTN.=rc||jvr7|jj||jj|yyr)r rAr#s rr(zVertexCube.disconnects2 < GGNN1  DDKK  rr-)r.r/r0r1rr%r(rRrSs@rrprpsF0 rrpc&eZdZfdZddZxZS)VertexCacheIndexc8t|t|_y)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)r7rrpVertex)rr>s rrzVertexCacheIndex.__init__s   rc |j|S#t$rS|xjdz c_|j||j}||j|<|j|cYSwxYw)Nrerf)r`KeyErrorr rwrr r xvals r __getitem__zVertexCacheIndex.__getitem__sd !::a=  ! JJ!OJ;;q ;3D!DJJqM::a=  !sAA-,A-r)r.r/r0rr|rRrSs@rrurus  ! !rrucneZdZ dfd ZddZdZdZdZdZdZ dZ d Z d Z d Z d Zd ZxZS)VertexCacheFieldct|d|_t|_||_||_t|||_||_ ||_ t|||_ t|_t|_d|_||_t%||_|dk(r7|j(|_||j,|_y|j0|_y|j2|_||j4|_y|j6|_y)a 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. r]FreN)r7rr r4rwr:r; FieldWrapperwfieldr<r=ConstraintWrapperwgconsr gpoolfpoolsfc_lockworkersr _mapwrapper proc_gpool process_gpoolproc_fpool_nog process_fpool proc_fpool_g pproc_gpoolpproc_fpool_nog pproc_fpool_g)rr:r;r<r=rr>s rrzVertexCacheField.__init__s0  '  $"5*5  &' < U U   %g. ars#'??DW Wt L L&&4"!!2ttn   r