|
| 1 | +from typing import Any, ClassVar, List, Tuple |
| 2 | + |
| 3 | +from typing import overload |
| 4 | +import numpy |
| 5 | + |
| 6 | +import numpy.typing as npt |
| 7 | + |
| 8 | +__version__: str = ... |
| 9 | + |
| 10 | +class CellType: |
| 11 | + __members__: ClassVar[dict] = ... # read-only |
| 12 | + __entries: ClassVar[dict] = ... |
| 13 | + hexahedron: ClassVar[CellType] = ... |
| 14 | + interval: ClassVar[CellType] = ... |
| 15 | + point: ClassVar[CellType] = ... |
| 16 | + prism: ClassVar[CellType] = ... |
| 17 | + pyramid: ClassVar[CellType] = ... |
| 18 | + quadrilateral: ClassVar[CellType] = ... |
| 19 | + tetrahedron: ClassVar[CellType] = ... |
| 20 | + triangle: ClassVar[CellType] = ... |
| 21 | + def __init__(self, value: int) -> None: ... |
| 22 | + def __eq__(self, other: object) -> bool: ... |
| 23 | + def __getstate__(self) -> int: ... |
| 24 | + def __hash__(self) -> int: ... |
| 25 | + def __index__(self) -> int: ... |
| 26 | + def __int__(self) -> int: ... |
| 27 | + def __ne__(self, other: object) -> bool: ... |
| 28 | + def __setstate__(self, state: int) -> None: ... |
| 29 | + @property |
| 30 | + def name(self) -> str: ... |
| 31 | + @property |
| 32 | + def value(self) -> int: ... |
| 33 | + |
| 34 | +class DPCVariant: |
| 35 | + __members__: ClassVar[dict] = ... # read-only |
| 36 | + __entries: ClassVar[dict] = ... |
| 37 | + diagonal_equispaced: ClassVar[DPCVariant] = ... |
| 38 | + diagonal_gll: ClassVar[DPCVariant] = ... |
| 39 | + horizontal_equispaced: ClassVar[DPCVariant] = ... |
| 40 | + horizontal_gll: ClassVar[DPCVariant] = ... |
| 41 | + legendre: ClassVar[DPCVariant] = ... |
| 42 | + simplex_equispaced: ClassVar[DPCVariant] = ... |
| 43 | + simplex_gll: ClassVar[DPCVariant] = ... |
| 44 | + unset: ClassVar[DPCVariant] = ... |
| 45 | + def __init__(self, value: int) -> None: ... |
| 46 | + def __eq__(self, other: object) -> bool: ... |
| 47 | + def __getstate__(self) -> int: ... |
| 48 | + def __hash__(self) -> int: ... |
| 49 | + def __index__(self) -> int: ... |
| 50 | + def __int__(self) -> int: ... |
| 51 | + def __ne__(self, other: object) -> bool: ... |
| 52 | + def __setstate__(self, state: int) -> None: ... |
| 53 | + @property |
| 54 | + def name(self) -> str: ... |
| 55 | + @property |
| 56 | + def value(self) -> int: ... |
| 57 | + |
| 58 | +class ElementFamily: |
| 59 | + __members__: ClassVar[dict] = ... # read-only |
| 60 | + BDM: ClassVar[ElementFamily] = ... |
| 61 | + CR: ClassVar[ElementFamily] = ... |
| 62 | + DPC: ClassVar[ElementFamily] = ... |
| 63 | + HHJ: ClassVar[ElementFamily] = ... |
| 64 | + Hermite: ClassVar[ElementFamily] = ... |
| 65 | + N1E: ClassVar[ElementFamily] = ... |
| 66 | + N2E: ClassVar[ElementFamily] = ... |
| 67 | + P: ClassVar[ElementFamily] = ... |
| 68 | + RT: ClassVar[ElementFamily] = ... |
| 69 | + Regge: ClassVar[ElementFamily] = ... |
| 70 | + __entries: ClassVar[dict] = ... |
| 71 | + bubble: ClassVar[ElementFamily] = ... |
| 72 | + custom: ClassVar[ElementFamily] = ... |
| 73 | + serendipity: ClassVar[ElementFamily] = ... |
| 74 | + def __init__(self, value: int) -> None: ... |
| 75 | + def __eq__(self, other: object) -> bool: ... |
| 76 | + def __getstate__(self) -> int: ... |
| 77 | + def __hash__(self) -> int: ... |
| 78 | + def __index__(self) -> int: ... |
| 79 | + def __int__(self) -> int: ... |
| 80 | + def __ne__(self, other: object) -> bool: ... |
| 81 | + def __setstate__(self, state: int) -> None: ... |
| 82 | + @property |
| 83 | + def name(self) -> str: ... |
| 84 | + @property |
| 85 | + def value(self) -> int: ... |
| 86 | + |
| 87 | +class FiniteElement: |
| 88 | + def __hash__(self, object, int): ClassVar[None] = ... |
| 89 | + def __init__(self, *args, **kwargs) -> None: ... |
| 90 | + def apply_dof_transformation(self, arg0: npt.NDArray[numpy.float64], arg1: int, arg2: int) -> npt.NDArray[numpy.float64]: ... |
| 91 | + def apply_dof_transformation_to_transpose(self, arg0: npt.NDArray[numpy.float64], arg1: int, arg2: int) -> npt.NDArray[numpy.float64]: ... |
| 92 | + def apply_inverse_transpose_dof_transformation(self, arg0: npt.NDArray[numpy.float64], arg1: int, arg2: int) -> npt.NDArray[numpy.float64]: ... |
| 93 | + def base_transformations(self) -> npt.NDArray[numpy.float64]: ... |
| 94 | + def entity_transformations(self) -> dict: ... |
| 95 | + def get_tensor_product_representation(self) -> List[Tuple[List[FiniteElement],List[int]]]: ... |
| 96 | + def pull_back(self, arg0: npt.NDArray[numpy.float64], arg1: npt.NDArray[numpy.float64], arg2: npt.NDArray[numpy.float64], arg3: npt.NDArray[numpy.float64]) -> npt.NDArray[numpy.float64]: ... |
| 97 | + def push_forward(self, arg0: npt.NDArray[numpy.float64], arg1: npt.NDArray[numpy.float64], arg2: npt.NDArray[numpy.float64], arg3: npt.NDArray[numpy.float64]) -> npt.NDArray[numpy.float64]: ... |
| 98 | + def tabulate(self, arg0: int, arg1: npt.NDArray[numpy.float64]) -> npt.NDArray[numpy.float64]: ... |
| 99 | + def __eq__(self, arg0: object) -> bool: ... |
| 100 | + @property |
| 101 | + def M(self) -> List[List[npt.NDArray[numpy.float64]]]: ... |
| 102 | + @property |
| 103 | + def cell_type(self) -> CellType: ... |
| 104 | + @property |
| 105 | + def coefficient_matrix(self) -> npt.NDArray[numpy.float64]: ... |
| 106 | + @property |
| 107 | + def degree(self) -> int: ... |
| 108 | + @property |
| 109 | + def dim(self) -> int: ... |
| 110 | + @property |
| 111 | + def discontinuous(self) -> bool: ... |
| 112 | + @property |
| 113 | + def dof_transformations_are_identity(self) -> bool: ... |
| 114 | + @property |
| 115 | + def dof_transformations_are_permutations(self) -> bool: ... |
| 116 | + @property |
| 117 | + def dpc_variant(self) -> Any: ... |
| 118 | + @property |
| 119 | + def dual_matrix(self) -> npt.NDArray[numpy.float64]: ... |
| 120 | + @property |
| 121 | + def entity_closure_dofs(self) -> List[List[List[int]]]: ... |
| 122 | + @property |
| 123 | + def entity_dofs(self) -> List[List[List[int]]]: ... |
| 124 | + @property |
| 125 | + def family(self) -> ElementFamily: ... |
| 126 | + @property |
| 127 | + def has_tensor_product_factorisation(self) -> bool: ... |
| 128 | + @property |
| 129 | + def highest_complete_degree(self) -> int: ... |
| 130 | + @property |
| 131 | + def highest_degree(self) -> int: ... |
| 132 | + @property |
| 133 | + def interpolation_is_identity(self) -> bool: ... |
| 134 | + @property |
| 135 | + def interpolation_matrix(self) -> npt.NDArray[numpy.float64]: ... |
| 136 | + @property |
| 137 | + def interpolation_nderivs(self) -> int: ... |
| 138 | + @property |
| 139 | + def lagrange_variant(self) -> Any: ... |
| 140 | + @property |
| 141 | + def map_type(self) -> MapType: ... |
| 142 | + @property |
| 143 | + def num_entity_closure_dofs(self) -> List[List[int]]: ... |
| 144 | + @property |
| 145 | + def num_entity_dofs(self) -> List[List[int]]: ... |
| 146 | + @property |
| 147 | + def points(self) -> npt.NDArray[numpy.float64]: ... |
| 148 | + @property |
| 149 | + def value_shape(self) -> List[int]: ... |
| 150 | + @property |
| 151 | + def value_size(self) -> int: ... |
| 152 | + @property |
| 153 | + def wcoeffs(self) -> npt.NDArray[numpy.float64]: ... |
| 154 | + @property |
| 155 | + def x(self) -> List[List[npt.NDArray[numpy.float64]]]: ... |
| 156 | + |
| 157 | +class LagrangeVariant: |
| 158 | + __members__: ClassVar[dict] = ... # read-only |
| 159 | + __entries: ClassVar[dict] = ... |
| 160 | + chebyshev_centroid: ClassVar[LagrangeVariant] = ... |
| 161 | + chebyshev_isaac: ClassVar[LagrangeVariant] = ... |
| 162 | + chebyshev_warped: ClassVar[LagrangeVariant] = ... |
| 163 | + equispaced: ClassVar[LagrangeVariant] = ... |
| 164 | + gl_centroid: ClassVar[LagrangeVariant] = ... |
| 165 | + gl_isaac: ClassVar[LagrangeVariant] = ... |
| 166 | + gl_warped: ClassVar[LagrangeVariant] = ... |
| 167 | + gll_centroid: ClassVar[LagrangeVariant] = ... |
| 168 | + gll_isaac: ClassVar[LagrangeVariant] = ... |
| 169 | + gll_warped: ClassVar[LagrangeVariant] = ... |
| 170 | + legendre: ClassVar[LagrangeVariant] = ... |
| 171 | + unset: ClassVar[LagrangeVariant] = ... |
| 172 | + vtk: ClassVar[LagrangeVariant] = ... |
| 173 | + def __init__(self, value: int) -> None: ... |
| 174 | + def __eq__(self, other: object) -> bool: ... |
| 175 | + def __getstate__(self) -> int: ... |
| 176 | + def __hash__(self) -> int: ... |
| 177 | + def __index__(self) -> int: ... |
| 178 | + def __int__(self) -> int: ... |
| 179 | + def __ne__(self, other: object) -> bool: ... |
| 180 | + def __setstate__(self, state: int) -> None: ... |
| 181 | + @property |
| 182 | + def name(self) -> str: ... |
| 183 | + @property |
| 184 | + def value(self) -> int: ... |
| 185 | + |
| 186 | +class LatticeSimplexMethod: |
| 187 | + __members__: ClassVar[dict] = ... # read-only |
| 188 | + __entries: ClassVar[dict] = ... |
| 189 | + centroid: ClassVar[LatticeSimplexMethod] = ... |
| 190 | + isaac: ClassVar[LatticeSimplexMethod] = ... |
| 191 | + none: ClassVar[LatticeSimplexMethod] = ... |
| 192 | + warp: ClassVar[LatticeSimplexMethod] = ... |
| 193 | + def __init__(self, value: int) -> None: ... |
| 194 | + def __eq__(self, other: object) -> bool: ... |
| 195 | + def __getstate__(self) -> int: ... |
| 196 | + def __hash__(self) -> int: ... |
| 197 | + def __index__(self) -> int: ... |
| 198 | + def __int__(self) -> int: ... |
| 199 | + def __ne__(self, other: object) -> bool: ... |
| 200 | + def __setstate__(self, state: int) -> None: ... |
| 201 | + @property |
| 202 | + def name(self) -> str: ... |
| 203 | + @property |
| 204 | + def value(self) -> int: ... |
| 205 | + |
| 206 | +class LatticeType: |
| 207 | + __members__: ClassVar[dict] = ... # read-only |
| 208 | + __entries: ClassVar[dict] = ... |
| 209 | + chebyshev: ClassVar[LatticeType] = ... |
| 210 | + equispaced: ClassVar[LatticeType] = ... |
| 211 | + gl: ClassVar[LatticeType] = ... |
| 212 | + gll: ClassVar[LatticeType] = ... |
| 213 | + def __init__(self, value: int) -> None: ... |
| 214 | + def __eq__(self, other: object) -> bool: ... |
| 215 | + def __getstate__(self) -> int: ... |
| 216 | + def __hash__(self) -> int: ... |
| 217 | + def __index__(self) -> int: ... |
| 218 | + def __int__(self) -> int: ... |
| 219 | + def __ne__(self, other: object) -> bool: ... |
| 220 | + def __setstate__(self, state: int) -> None: ... |
| 221 | + @property |
| 222 | + def name(self) -> str: ... |
| 223 | + @property |
| 224 | + def value(self) -> int: ... |
| 225 | + |
| 226 | +class MapType: |
| 227 | + __members__: ClassVar[dict] = ... # read-only |
| 228 | + L2Piola: ClassVar[MapType] = ... |
| 229 | + __entries: ClassVar[dict] = ... |
| 230 | + contravariantPiola: ClassVar[MapType] = ... |
| 231 | + covariantPiola: ClassVar[MapType] = ... |
| 232 | + doubleContravariantPiola: ClassVar[MapType] = ... |
| 233 | + doubleCovariantPiola: ClassVar[MapType] = ... |
| 234 | + identity: ClassVar[MapType] = ... |
| 235 | + def __init__(self, value: int) -> None: ... |
| 236 | + def __eq__(self, other: object) -> bool: ... |
| 237 | + def __getstate__(self) -> int: ... |
| 238 | + def __hash__(self) -> int: ... |
| 239 | + def __index__(self) -> int: ... |
| 240 | + def __int__(self) -> int: ... |
| 241 | + def __ne__(self, other: object) -> bool: ... |
| 242 | + def __setstate__(self, state: int) -> None: ... |
| 243 | + @property |
| 244 | + def name(self) -> str: ... |
| 245 | + @property |
| 246 | + def value(self) -> int: ... |
| 247 | + |
| 248 | +class PolynomialType: |
| 249 | + __members__: ClassVar[dict] = ... # read-only |
| 250 | + __entries: ClassVar[dict] = ... |
| 251 | + legendre: ClassVar[PolynomialType] = ... |
| 252 | + def __init__(self, value: int) -> None: ... |
| 253 | + def __eq__(self, other: object) -> bool: ... |
| 254 | + def __getstate__(self) -> int: ... |
| 255 | + def __hash__(self) -> int: ... |
| 256 | + def __index__(self) -> int: ... |
| 257 | + def __int__(self) -> int: ... |
| 258 | + def __ne__(self, other: object) -> bool: ... |
| 259 | + def __setstate__(self, state: int) -> None: ... |
| 260 | + @property |
| 261 | + def name(self) -> str: ... |
| 262 | + @property |
| 263 | + def value(self) -> int: ... |
| 264 | + |
| 265 | +class QuadratureType: |
| 266 | + __members__: ClassVar[dict] = ... # read-only |
| 267 | + Default: ClassVar[QuadratureType] = ... |
| 268 | + __entries: ClassVar[dict] = ... |
| 269 | + gauss_jacobi: ClassVar[QuadratureType] = ... |
| 270 | + gll: ClassVar[QuadratureType] = ... |
| 271 | + xiao_gimbutas: ClassVar[QuadratureType] = ... |
| 272 | + def __init__(self, value: int) -> None: ... |
| 273 | + def __eq__(self, other: object) -> bool: ... |
| 274 | + def __getstate__(self) -> int: ... |
| 275 | + def __hash__(self) -> int: ... |
| 276 | + def __index__(self) -> int: ... |
| 277 | + def __int__(self) -> int: ... |
| 278 | + def __ne__(self, other: object) -> bool: ... |
| 279 | + def __setstate__(self, state: int) -> None: ... |
| 280 | + @property |
| 281 | + def name(self) -> str: ... |
| 282 | + @property |
| 283 | + def value(self) -> int: ... |
| 284 | + |
| 285 | +def cell_facet_jacobians(arg0: CellType) -> npt.NDArray[numpy.float64]: ... |
| 286 | +def cell_facet_normals(arg0: CellType) -> npt.NDArray[numpy.float64]: ... |
| 287 | +def cell_facet_orientations(arg0: CellType) -> List[bool]: ... |
| 288 | +def cell_facet_outward_normals(arg0: CellType) -> npt.NDArray[numpy.float64]: ... |
| 289 | +def cell_facet_reference_volumes(arg0: CellType) -> npt.NDArray[numpy.float64]: ... |
| 290 | +def cell_volume(arg0: CellType) -> float: ... |
| 291 | +def compute_interpolation_operator(arg0: FiniteElement, arg1: FiniteElement) -> npt.NDArray[numpy.float64]: ... |
| 292 | +def create_custom_element(arg0: CellType, arg1: List[int], arg2: npt.NDArray[numpy.float64], arg3: List[List[npt.NDArray[numpy.float64]]], arg4: List[List[npt.NDArray[numpy.float64]]], arg5: int, arg6: MapType, arg7: bool, arg8: int, arg9: int) -> FiniteElement: ... |
| 293 | +@overload |
| 294 | +def create_element(arg0: ElementFamily, arg1: CellType, arg2: int, arg3: bool) -> FiniteElement: ... |
| 295 | +@overload |
| 296 | +def create_element(arg0: ElementFamily, arg1: CellType, arg2: int, arg3: LagrangeVariant, arg4: bool) -> FiniteElement: ... |
| 297 | +@overload |
| 298 | +def create_element(arg0: ElementFamily, arg1: CellType, arg2: int, arg3: DPCVariant, arg4: bool) -> FiniteElement: ... |
| 299 | +@overload |
| 300 | +def create_element(arg0: ElementFamily, arg1: CellType, arg2: int, arg3: LagrangeVariant, arg4: DPCVariant, arg5: bool) -> FiniteElement: ... |
| 301 | +@overload |
| 302 | +def create_element(arg0: ElementFamily, arg1: CellType, arg2: int) -> FiniteElement: ... |
| 303 | +@overload |
| 304 | +def create_element(arg0: ElementFamily, arg1: CellType, arg2: int, arg3: LagrangeVariant) -> FiniteElement: ... |
| 305 | +@overload |
| 306 | +def create_element(arg0: ElementFamily, arg1: CellType, arg2: int, arg3: DPCVariant) -> FiniteElement: ... |
| 307 | +@overload |
| 308 | +def create_element(arg0: ElementFamily, arg1: CellType, arg2: int, arg3: LagrangeVariant, arg4: DPCVariant) -> FiniteElement: ... |
| 309 | +@overload |
| 310 | +def create_lattice(arg0, arg1: int, arg2: LatticeType, arg3: bool) -> npt.NDArray[numpy.float64]: ... |
| 311 | +@overload |
| 312 | +def create_lattice(arg0, arg1: int, arg2: LatticeType, arg3: bool, arg4: LatticeSimplexMethod) -> npt.NDArray[numpy.float64]: ... |
| 313 | +def geometry(arg0) -> npt.NDArray[numpy.float64]: ... |
| 314 | +@overload |
| 315 | +def index(arg0: int) -> int: ... |
| 316 | +@overload |
| 317 | +def index(arg0: int, arg1: int) -> int: ... |
| 318 | +@overload |
| 319 | +def index(arg0: int, arg1: int, arg2: int) -> int: ... |
| 320 | +@overload |
| 321 | +def make_quadrature(arg0: QuadratureType, arg1: CellType, arg2: int) -> Tuple[npt.NDArray[numpy.float64],npt.NDArray[numpy.float64]]: ... |
| 322 | +@overload |
| 323 | +def make_quadrature(arg0: CellType, arg1: int) -> Tuple[npt.NDArray[numpy.float64],npt.NDArray[numpy.float64]]: ... |
| 324 | +def sub_entity_connectivity(arg0) -> List[List[List[List[int]]]]: ... |
| 325 | +def sub_entity_geometry(arg0, arg1: int, arg2: int) -> npt.NDArray[numpy.float64]: ... |
| 326 | +def tabulate_polynomial_set(arg0: CellType, arg1: int, arg2: int, arg3: npt.NDArray[numpy.float64]) -> npt.NDArray[numpy.float64]: ... |
| 327 | +def tabulate_polynomials(arg0: PolynomialType, arg1, arg2: int, arg3: npt.NDArray[numpy.float64]) -> npt.NDArray[numpy.float64]: ... |
| 328 | +@overload |
| 329 | +def topology(arg0) -> List[List[List[int]]]: ... |
| 330 | +@overload |
| 331 | +def topology(vertexindices) -> Any: ... |
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