Boundary.hs

module Moonlight.Homology.Boundary
  ( FiniteChainComplex,
    mkFiniteChainComplexChecked,
    maxHomologicalDegree,
    incidenceMatrixAt,
    degreeCardinality,
    basisCellNodeId,
    finiteChainBasisRefsAtDegree,
    basisIndexCellMapAtDegree,
    inverseBasisRefMap,
    validateFiniteChainComplexShape,
    restrictComplex,
    GraphBoundaryGF2,
    gbgf2VertexIndex,
    gbgf2Edges,
    gbgf2Boundary,
    GraphBoundaryGF2Failure (..),
    prepareGraphBoundaryGF2,
    graphBoundaryRankDefectGF2,
    BoundaryScope (..),
    ScopedBoundary (..),
    BoundaryIncidenceShapeError (..),
    BoundaryEntry,
    sourceIndex,
    targetIndex,
    boundaryCoefficient,
    mkBoundaryEntry,
    mkBoundaryEntryFromInts,
    BoundaryIncidence,
    sourceCardinality,
    targetCardinality,
    boundaryEntries,
    mkBoundaryIncidence,
    mkBoundaryIncidenceFromOrderedEntries,
    mkBoundaryIncidenceFromOrderedColumns,
    overlapBoundaryIncidence,
    emptyBoundaryIncidence,
    emptyBoundaryIncidenceOf,
    identityBoundaryIncidenceOf,
    directSumBoundaryIncidence,
    reindexBoundaryIncidenceWith,
    boundaryIncidenceApply,
    transposeBoundaryIncidence,
    composeBoundaryIncidence,
    boundaryIncidenceDiagonal,
    addBoundaryIncidence,
    mapBoundaryCoefficients,
    BlockBoundaryEntry,
    blockSourceIndex,
    blockTargetIndex,
    blockSubmatrix,
    mkBlockBoundaryEntry,
    BlockBoundaryIncidence,
    blockSourceDimensions,
    blockTargetDimensions,
    blockEntries,
    mkBlockBoundaryIncidence,
    flattenBlockIncidence,
    scaleBoundaryIncidence,
    materializeIncidenceBoundary,
    materializeBoundary,
    SmithNormalForm (..),
    SNFReducer (..),
    SNFCapability,
    computeSmithNormalForm
  )
where

import Moonlight.Homology.Boundary.Finite as X
import Moonlight.Homology.Boundary.GraphGF2 as X
import Moonlight.Homology.Boundary.LinAlg as X
import Moonlight.Homology.Boundary.SNF as X