Module meshing 

Backend-neutral mesh topology, affine geometry, and quality contracts.

Structs

AffineGeometryLinearization

One directional derivative of an affine reference-to-physical map.

AffineGeometryMap

Runtime-dimensional affine map x(xi) = origin + J xi.

AffineMapQuality

Orientation and scale-invariant conditioning of one square affine map.

CartesianMesh

Runtime-dimensional conforming mesh of an axis-aligned Cartesian box.

CellId

Stable index of a cell in one mesh revision.

DiscreteFieldPayload

Invariant-checked, mesh-associated, entity-major f64 values.

EntityIncidence

One oriented incidence relation in a source entity’s local topology.

FacetCells1d

Oriented cells adjacent to a line facet.

FacetId

Stable index of a codimension-one facet in one mesh revision.

FixedTopologyCellGeometryAction

One affine cell’s derived endpoint geometry and mesh-motion action.

FixedTopologyGeometryAction

Sealed consecutive action over one immutable dimension-typed simplex topology.

FixedTopologyGeometryState

Absolute coordinates over one immutable dimension-typed simplex topology.

LineMesh

Validated one-dimensional mesh with explicit topology and geometry APIs.

MeshEntity

Dimension-tagged entity ID used by the arbitrary-dimensional mesh contract.

MeshQualityGate

Fail-closed conditioning policy for accepted affine simplex cells.

MeshQualityReport

Conditioning evidence accumulated while a mesh revision is accepted.

OrientationCode

Opaque orientation/permutation code interpreted with a reference cell.

P1HarmonicCoordinateRelation

The P1 Laplace relation defining one fixed-topology harmonic coordinate field.

PointGeometry1d

Point geometry of a line facet.

QuadraturePoint

One weighted sample on a reference cell.

QuadratureRule

Validated quadrature rule tied to one reference-cell topology.

ReferenceCell

Validated reference-cell topology with an explicit runtime dimension.

ReferenceEntity

One entity of a reference-cell topology.

ReferenceIncidence

Incidence of a lower-dimensional entity in a containing entity.

ReferenceTopology

Combinatorial topology of one runtime-dimensional reference cell.

RetainedFacetSide2d

One retained boundary facet together with its exact parent cell.

RevisionCellFragment2d

One canonical positive triangle in a cell-pair common refinement.

RevisionFacetFragment2d

One canonical positive segment in a retained-facet common refinement.

SegmentGeometry1d

Affine geometry map from the reference segment [-1, 1].

SimplicialMesh

Runtime-dimensional, fixed-connectivity mesh of affine simplex cells.

SimplicialRevisionOverlap2d

Accepted many-to-many common refinement of two selected triangle regions.

VertexId

Stable index of a vertex in one mesh revision.

VertexPermutation

A bijection of local vertex ordinals.

Enums

DiscreteFieldAssociation

Mesh stratum carrying one accepted discrete value per entity.

DiscreteFieldShape

Closed component shape for a discrete field payload.

LineGeometryMap

Geometry-map variant returned by LineMesh through the generic contract.

OverlapCoordinateChart2d

Coordinate chart in which a common refinement was constructed.

ReferenceCellFamily

Family of a reference integration cell.

Traits

GeometryMap

Runtime-dimensional physical map for one mesh entity.

MeshGeometry

Geometry ownership contract paired with MeshTopology.

MeshTopology

Arbitrary-dimensional topology contract.

Functions

simplex_centroid_rule

Construct the centroid rule on a unit simplex of runtime dimension d.

simplex_duffy_gauss_legendre

Construct a positive tensor-product Duffy rule on a unit simplex.

triangle_duffy_gauss_legendre

Construct the positive Duffy–Gauss–Legendre rule on the unit triangle.

Type Aliases

FixedTopologyCellGeometryAction2d

Established two-dimensional cell geometry action.

FixedTopologyCellGeometryAction3d

Three-dimensional affine-tetrahedron cell geometry action.

FixedTopologyGeometryAction2d

Established two-dimensional consecutive geometry action.

FixedTopologyGeometryAction3d

Three-dimensional consecutive geometry action over immutable tetrahedra.

FixedTopologyGeometryState2d

Established two-dimensional fixed-topology geometry state.

FixedTopologyGeometryState3d

Three-dimensional fixed-topology geometry state over affine tetrahedra.

P1HarmonicCoordinateRelation2d

Established two-dimensional harmonic-coordinate relation.

P1HarmonicCoordinateRelation3d

Three-dimensional harmonic-coordinate relation over affine tetrahedra.