+ iz3\Rt^RIt^RIHt^RIHt^RIt!RR4t!RR]4t R#)z' Mesh refinement for triangular grids. N)_api) Triangulationc*a]tRt^ toRtRtRtVtR#) TriRefinera+ Abstract base class for classes implementing mesh refinement. A TriRefiner encapsulates a Triangulation object and provides tools for mesh refinement and interpolation. Derived classes must implement: - ``refine_triangulation(return_tri_index=False, **kwargs)`` , where the optional keyword arguments *kwargs* are defined in each TriRefiner concrete implementation, and which returns: - a refined triangulation, - optionally (depending on *return_tri_index*), for each point of the refined triangulation: the index of the initial triangulation triangle to which it belongs. - ``refine_field(z, triinterpolator=None, **kwargs)``, where: - *z* array of field values (to refine) defined at the base triangulation nodes, - *triinterpolator* is an optional `~matplotlib.tri.TriInterpolator`, - the other optional keyword arguments *kwargs* are defined in each TriRefiner concrete implementation; and which returns (as a tuple) a refined triangular mesh and the interpolated values of the field at the refined triangulation nodes. cJ\P!\VR7WnR#)) triangulationN)rcheck_isinstancer_triangulation)selfrs&&y/Users/tonyclaw/.openclaw/workspace/skills/math-calculator/venv/lib/python3.14/site-packages/matplotlib/tri/_trirefine.py__init__TriRefiner.__init__*s m=I+)r N)__name__ __module__ __qualname____firstlineno____doc__r __static_attributes____classdictcell__) __classdict__s@r rr s:,,rrc^aa]tRt^/toRtV3RltRRltRRlt]R Rl4t Rt Vt V;t #) UniformTriRefinerz Uniform mesh refinement by recursive subdivisions. Parameters ---------- triangulation : `~matplotlib.tri.Triangulation` The encapsulated triangulation (to be refined) c&<\SV`V4R#N)superr )r r __class__s&&r r UniformTriRefiner.__init__=s 'rc $VPpVPP^,p\P!V\P R7p\ V4FpVPW54wr5K VPP^,pVPpV'd\P!VR\P R7p VPPp V f-\P!V^4PR^4W&W93#W,p \P!W[,^4PR^4WV R3,&\P!W[(,^4PR^4WV (R3,&W93#V#)a Compute a uniformly refined triangulation *refi_triangulation* of the encapsulated :attr:`triangulation`. This function refines the encapsulated triangulation by splitting each father triangle into 4 child sub-triangles built on the edges midside nodes, recursing *subdiv* times. In the end, each triangle is hence divided into ``4**subdiv`` child triangles. Parameters ---------- return_tri_index : bool, default: False Whether an index table indicating the father triangle index of each point is returned. subdiv : int, default: 3 Recursion level for the subdivision. Each triangle is divided into ``4**subdiv`` child triangles; hence, the default results in 64 refined subtriangles for each triangle of the initial triangulation. Returns ------- refi_triangulation : `~matplotlib.tri.Triangulation` The refined triangulation. found_index : int array Index of the initial triangulation containing triangle, for each point of *refi_triangulation*. Returned only if *return_tri_index* is set to True. dtypeNNN) r trianglesshapenparangeint32range_refine_triangulation_oncexfullmaskrepeatreshape) r return_tri_indexsubdivrefi_triangulationntri ancestors_ refi_nptsrefi_triangles found_indextri_mask ancestor_masks &&& r refine_triangulation&UniformTriRefiner.refine_triangulation@sp<"00!++11!4IId"((3 vA,0,K,K"-/ )  '((..q1 +55 '')Rrxx@K**//H.0ii 89/;;B72q>+&2 2!) 3 " )*B*+!--4WR^=!+;<!# )N*C*+!--4WR^M>1+<=&2 2% %rc RVf,\PPVPV4pM2\P !\PP VR7TpVPVRR7wrVVPVPVPVR7^,pWW3#)a% Refine a field defined on the encapsulated triangulation. Parameters ---------- z : (npoints,) array-like Values of the field to refine, defined at the nodes of the encapsulated triangulation. (``n_points`` is the number of points in the initial triangulation) triinterpolator : `~matplotlib.tri.TriInterpolator`, optional Interpolator used for field interpolation. If not specified, a `~matplotlib.tri.CubicTriInterpolator` will be used. subdiv : int, default: 3 Recursion level for the subdivision. Each triangle is divided into ``4**subdiv`` child triangles. Returns ------- refi_tri : `~matplotlib.tri.Triangulation` The returned refined triangulation. refi_z : 1D array of length: *refi_tri* node count. The returned interpolated field (at *refi_tri* nodes). )triinterpolatorT)r0r/) tri_index) matplotlibtriCubicTriInterpolatorr rrTriInterpolatorr:_interpolate_multikeysr*y)r zr=r0interprefi_trir7refi_zs&&&& r refine_fieldUniformTriRefiner.refine_fields0  "^^88##Q(F  ! !*.."@"@2A C$F $ 9 9D!:!2.. JJ k/;;<>rc  x VPpVPpVPpVPp\P !V4^,p\P !V4^,pVel\P !V4p\P !V4V38wd:\R\P !V4 R\P !V4 24h\P!VR8H4p^V,V,^,p Wi,p \P!V 4p \P!V 4p W+RV%Wrs37% , ,FD@ D@r