Zoltan2_HyperGraphModel.hpp

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#ifndef _ZOLTAN2_HYPERGRAPHMODEL_HPP_
#define _ZOLTAN2_HYPERGRAPHMODEL_HPP_

#include <Zoltan2_Model.hpp>
#include <Zoltan2_ModelHelpers.hpp>
#include <Zoltan2_InputTraits.hpp>
#include <Zoltan2_MatrixAdapter.hpp>
#include <Zoltan2_GraphAdapter.hpp>
#include <Zoltan2_IdentifierAdapter.hpp>
#include <Zoltan2_VectorAdapter.hpp>
#include <Zoltan2_StridedData.hpp>
#include <Zoltan2_MeshAdapter.hpp>

#include <vector>
#include <unordered_map>
#include <queue>
#include <Teuchos_Hashtable.hpp>

namespace Zoltan2 {

enum CentricView {
  HYPEREDGE_CENTRIC,
  VERTEX_CENTRIC
};


template <typename Adapter>
class HyperGraphModel : public Model<Adapter>
{
public:

#ifndef DOXYGEN_SHOULD_SKIP_THIS
  typedef typename Adapter::scalar_t    scalar_t;
  typedef typename Adapter::offset_t    offset_t;
  typedef typename Adapter::gno_t       gno_t;
  typedef typename Adapter::lno_t       lno_t;
  typedef typename Adapter::node_t      node_t;
  typedef typename Adapter::user_t      user_t;
  typedef typename Adapter::userCoord_t userCoord_t;
  typedef Tpetra::Map<lno_t, gno_t>     map_t;
  typedef StridedData<lno_t, scalar_t>  input_t;
#endif

  ~HyperGraphModel() { }

  HyperGraphModel(const RCP<const MatrixAdapter<user_t,userCoord_t> > &ia,
    const RCP<const Environment> &env, const RCP<const Comm<int> > &comm,
    modelFlag_t &modelFlags, CentricView view)
  {
    throw std::runtime_error("Building HyperGraphModel from MatrixAdapter not implemented yet");
  }

  HyperGraphModel(const RCP<const GraphAdapter<user_t,userCoord_t> > &ia,
    const RCP<const Environment> &env, const RCP<const Comm<int> > &comm,
    modelFlag_t &modelFlags, CentricView view)
  {
    throw std::runtime_error("Building HyperGraphModel from GraphAdapter not implemented yet");
  }
  
  HyperGraphModel(const RCP<const MeshAdapter<user_t> > &ia,
    const RCP<const Environment> &env, const RCP<const Comm<int> > &comm,
                  modelFlag_t &modelflags, CentricView view);
  
  HyperGraphModel(const RCP<const VectorAdapter<userCoord_t> > &ia,
    const RCP<const Environment> &env, const RCP<const Comm<int> > &comm,
    modelFlag_t &flags, CentricView view)
  {
    throw std::runtime_error("cannot build HyperGraphModel from VectorAdapter");
  }

  HyperGraphModel(const RCP<const IdentifierAdapter<user_t> > &ia,
    const RCP<const Environment> &env, const RCP<const Comm<int> > &comm,
    modelFlag_t &flags, CentricView view)
  {
    throw std::runtime_error("cannot build HyperGraphModel from IdentifierAdapter");
  }
  

  CentricView getCentricView() const {return view_;}

  bool areVertexIDsUnique() const {return unique;}
  
  size_t getLocalNumVertices() const { return numLocalVertices_; }

  size_t getLocalNumOwnedVertices() const { return numOwnedVertices_; }

  size_t getGlobalNumVertices() const { return numGlobalVertices_; }

  size_t getLocalNumHyperEdges() const { return numLocalEdges_; }

  size_t getGlobalNumHyperEdges() const { return numGlobalEdges_; }

  size_t getLocalNumPins() const {return numLocalPins_; }

  int getNumWeightsPerVertex() const { return numWeightsPerVertex_; }

  int getNumWeightsPerHyperEdge() const { return nWeightsPerEdge_; }

  int getNumWeightesPerPin() const {return nWeightsPerPin_;}

  int getCoordinateDim() const { return vCoordDim_; }

  size_t getVertexList(
    ArrayView<const gno_t> &Ids,
    ArrayView<input_t> &wgts) const
  {
    size_t nv = gids_.size();
    Ids = gids_(0, nv);
    wgts = vWeights_.view(0, numWeightsPerVertex_);
    return nv;
  }

  size_t getVertexCoords(ArrayView<input_t> &xyz) const
  {
    size_t nv = gids_.size();
    xyz = vCoords_.view(0, vCoordDim_);
    return nv;
  }

  size_t getOwnedList(ArrayView<bool> &isOwner) const
  {
    size_t nv = isOwner_.size();
    isOwner = isOwner_(0, nv);
    return nv;
  }

  void getVertexMaps(Teuchos::RCP<const map_t>& copiesMap, 
                     Teuchos::RCP<const map_t>& onetooneMap) const 
  {
    copiesMap = mapWithCopies;
    onetooneMap = oneToOneMap;
  }

  size_t getEdgeList(
    ArrayView<const gno_t> &Ids,
    ArrayView<input_t> &wgts) const
  {
    size_t nv = edgeGids_.size();
    Ids = edgeGids_(0, nv);
    wgts = eWeights_.view(0, nWeightsPerEdge_);
    return nv;
  }

  size_t getPinList( ArrayView<const gno_t> &pinIds,
    ArrayView<const offset_t> &offsets,
    ArrayView<input_t> &wgts) const
  {
    pinIds = pinGids_(0, numLocalPins_);
    offsets = offsets_.view(0, offsets_.size());
    wgts = pWeights_.view(0, nWeightsPerPin_);
    return pinGids_.size();
  }


  // The Model interface.

  size_t getLocalNumObjects() const { return numLocalVertices_; }

  size_t getGlobalNumObjects() const { return numGlobalVertices_; }

private:

  struct GhostCell {
    lno_t lid; //Assumes lno_t is signed (-1 corresponds to not on this process)
    gno_t gid;
    unsigned int dist;
    GhostCell(lno_t l,gno_t g, unsigned int d) {lid=l;gid=g;dist=d;}
    bool operator<(const struct GhostCell& other) const {return dist>other.dist;}
  };
  template <typename AdapterWithCoords>
  void shared_GetVertexCoords(const AdapterWithCoords *ia);
  

  const RCP<const Environment > env_;
  const RCP<const Comm<int> > comm_;

  CentricView view_;
  bool unique;
  ArrayRCP<const gno_t> gids_;        // vertices of input graph
  
  ArrayRCP<bool> isOwner_;

  int numWeightsPerVertex_;
  ArrayRCP<input_t> vWeights_;

  int vCoordDim_;
  ArrayRCP<input_t> vCoords_;

  ArrayRCP<const gno_t> edgeGids_;
 
  int nWeightsPerEdge_;
  ArrayRCP<input_t> eWeights_;

  ArrayRCP<const gno_t> pinGids_;
  ArrayRCP<const offset_t> offsets_;

  int nWeightsPerPin_;
  ArrayRCP<input_t> pWeights_;

  // For convenience

  size_t numLocalVertices_;
  size_t numOwnedVertices_;
  size_t numGlobalVertices_;
  size_t numLocalEdges_;
  size_t numGlobalEdges_;
  size_t numLocalPins_;
  
  // For unique mapping
  Teuchos::RCP<const map_t> mapWithCopies;
  Teuchos::RCP<const map_t> oneToOneMap;

  // For debugging
  void print();

};



//TODO get the weights hyperedges
//GFD Do we need weights for pins too?
template <typename Adapter>
HyperGraphModel<Adapter>::HyperGraphModel(
  const RCP<const MeshAdapter<user_t> > &ia,
  const RCP<const Environment> &env,
  const RCP<const Comm<int> > &comm,
  modelFlag_t &modelFlags,
  CentricView view):
       env_(env),
       comm_(comm),
       view_(view),
       gids_(),
       isOwner_(),
       numWeightsPerVertex_(0),
       vWeights_(),
       vCoordDim_(0),
       vCoords_(),
       edgeGids_(),
       nWeightsPerEdge_(0),
       eWeights_(),
       pinGids_(),
       offsets_(),
       nWeightsPerPin_(0),
       pWeights_(),
       numLocalVertices_(0),
       numGlobalVertices_(0),
       numLocalEdges_(0),
       numGlobalEdges_(0),
       numLocalPins_(0)
{
  env_->timerStart(MACRO_TIMERS, "HyperGraphModel constructed from MeshAdapter");
  //Model Type is either traditional or ghosting
  //  Traditional:
  //    vertices == ia->getPrimaryEntityType()
  //    hyperedges == ia->getAdjacencyEntityType()
  //    pins == first adjacency between primary and adjacency types
  //  Ghosting:
  //    vertices == ia->getPrimaryEntityType()
  //    hyperedges == ia->getPrimaryEntityType()
  //    pins == k layers of second adjacency from primary through second adjacency types
  std::string model_type("traditional");
  const Teuchos::ParameterList &pl = env->getParameters();
  const Teuchos::ParameterEntry *pe2 = pl.getEntryPtr("hypergraph_model_type");
  if (pe2){
    model_type = pe2->getValue<std::string>(&model_type);
  }

  // Get the hypergraph types from adapter
  Zoltan2::MeshEntityType primaryEType = ia->getPrimaryEntityType();
  Zoltan2::MeshEntityType adjacencyEType = ia->getAdjacencyEntityType();

  // Get the IDs of the primary entity type; these are hypergraph vertices
  gno_t const *vtxIds=NULL;
  try {
    numLocalVertices_ = ia->getLocalNumOf(primaryEType);
    ia->getIDsViewOf(primaryEType, vtxIds);
    size_t maxId = *(std::max_element(vtxIds,vtxIds+numLocalVertices_));
    reduceAll(*comm_,Teuchos::REDUCE_MAX,1,&maxId,&numGlobalVertices_);
    // TODO:  KDD 1/17 The above computation of numGlobalVertices_ is
    // TODO:  correct only when the vertices are consecutively numbered
    // TODO:  starting at ID 1.  Github #1024
  }
  Z2_FORWARD_EXCEPTIONS;

  gids_ = arcp<const gno_t>(vtxIds, 0, numLocalVertices_, false);

  //A mapping from gids to lids for efficiency
  std::unordered_map<gno_t,lno_t> lid_mapping;
  for (size_t i=0;i<numLocalVertices_;i++)
    lid_mapping[gids_[i]]=i;

  // Define owners for each hypergraph vertex using Tpetra 
  // one to one map. This defines each hypergraph vertex to
  // one process in the case that the adapter has copied 
  // primary entity types
  //If the mesh adapter knows the entities are unique we can optimize out the ownership
  unique = ia->areEntityIDsUnique(ia->getPrimaryEntityType());
  numOwnedVertices_=numLocalVertices_;
  isOwner_ = ArrayRCP<bool>(numLocalVertices_,true);
  if (!unique) {
    
    Tpetra::global_size_t numGlobalCoords = 
      Teuchos::OrdinalTraits<Tpetra::global_size_t>::invalid();
    mapWithCopies = rcp(new map_t(numGlobalCoords, gids_(), 0, comm));
    // TODO KDD 1/17 It would be better to use minimum GID rather than
    // TODO zero in the above Tpetra::Map constructor.  Github #1024
    oneToOneMap = Tpetra::createOneToOne<lno_t, gno_t>(mapWithCopies);

    numOwnedVertices_=oneToOneMap->getNodeNumElements();
    for (size_t i=0;i<numLocalVertices_;i++) {
      isOwner_[i] = oneToOneMap->isNodeGlobalElement(gids_[i]);
    }
  }


  if (model_type=="traditional") {
    // Traditional: Get the IDs of the adjacency entity type; 
    //              these are hypergraph hyperedges
  
    gno_t const *edgeIds=NULL;
    try {
      numLocalEdges_ = ia->getLocalNumOf(adjacencyEType);
      ia->getIDsViewOf(adjacencyEType, edgeIds);
      size_t maxId = *(std::max_element(edgeIds,edgeIds+numLocalEdges_));
      reduceAll(*comm_,Teuchos::REDUCE_MAX,1,&maxId,&numGlobalEdges_);
    }
    Z2_FORWARD_EXCEPTIONS;
    
    edgeGids_ = arcp<const gno_t>(edgeIds, 0, numLocalEdges_, false);
  }
  else if (model_type=="ghosting") {
    // Ghosting: Use the vertices as the hyperedges as well
    numLocalEdges_ = numLocalVertices_;
    edgeGids_ = arcp<const gno_t>(vtxIds, 0, numLocalVertices_, false);
    numGlobalEdges_ = numGlobalVertices_;
  }
 
  //Define the entity types to use for the pins based on the centric view
  Zoltan2::MeshEntityType primaryPinType = primaryEType;
  Zoltan2::MeshEntityType adjacencyPinType = adjacencyEType;
  size_t numPrimaryPins = numLocalVertices_;
  if (view_==HYPEREDGE_CENTRIC) {
    primaryPinType = adjacencyEType;
    adjacencyPinType = primaryEType;
    numPrimaryPins = numLocalEdges_;
  }
  if (model_type=="traditional") {
    //Get the pins from using the traditional method of first adjacency
    gno_t const *nborIds=NULL;
    offset_t const *offsets=NULL;
    
    try {
      ia->getAdjsView(primaryPinType,adjacencyPinType,offsets,nborIds);
    }
    Z2_FORWARD_EXCEPTIONS;
    
    numLocalPins_ = offsets[numPrimaryPins];

    pinGids_ = arcp<const gno_t>(nborIds, 0, numLocalPins_, false);
    offsets_ = arcp<const offset_t>(offsets, 0, numPrimaryPins + 1, false);
  }
  else if (model_type=="ghosting") { 
    // set the view to either since it doesn't matter 
    // vertices==hyperedges
    view_ = VERTEX_CENTRIC;
    // unique set of global ids for the ghosts
    typedef std::set<gno_t> ghost_t;

    // mapping from global id to the set of ghosts 
    typedef std::unordered_map<gno_t,ghost_t> ghost_map_t;
    
    primaryPinType=primaryEType;
    adjacencyPinType =ia->getSecondAdjacencyEntityType();

    // number of layers of ghosting to do
    unsigned int layers=2;
    const Teuchos::ParameterEntry *pe3 = pl.getEntryPtr("ghost_layers");
    if (pe3){
      int l;
      l = pe3->getValue<int>(&l);
      layers = static_cast<unsigned int>(l);
    }
 
    typedef int nonzero_t;  // adjacency matrix doesn't need scalar_t
    typedef Tpetra::CrsMatrix<nonzero_t,lno_t,gno_t,node_t>   sparse_matrix_type;
    
    // Get an adjacency matrix representing the graph on the mesh 
    // using second adjacencies. If second adjacencies are not 
    // provided build the matrix from first adjacencies.
    RCP<sparse_matrix_type> secondAdj;
    if (!ia->avail2ndAdjs(primaryPinType,adjacencyPinType)) {
      secondAdj=Zoltan2::get2ndAdjsMatFromAdjs<user_t>(ia,comm_,primaryPinType, adjacencyPinType);
    }
    else {
      const offset_t* offsets;
      const gno_t* adjacencyIds;
      ia->get2ndAdjsView(primaryPinType,adjacencyPinType,offsets,adjacencyIds);
      if (unique) {
        Tpetra::global_size_t numGlobalCoords = 
          Teuchos::OrdinalTraits<Tpetra::global_size_t>::invalid();
        oneToOneMap = rcp(new map_t(numGlobalCoords, gids_(), 0, comm));
        // TODO KDD 1/17 It would be better to use minimum GID rather than
        // TODO zero in the above Tpetra::Map constructor.  Github #1024
      }
      Teuchos::Array<size_t> nPerRow(numLocalVertices_);
      size_t rowcnt = 0;
      for (size_t i=0; i<numLocalVertices_;i++) {
        if (!isOwner_[i])
          continue;
        nPerRow[rowcnt++] = offsets[i+1]-offsets[i];
      }
      secondAdj = rcp(new sparse_matrix_type(oneToOneMap,nPerRow(0,rowcnt)));
      for (size_t i=0; i<numLocalVertices_;i++) {
        if (!isOwner_[i])
          continue;
        gno_t row = gids_[i];
        offset_t num_adjs = offsets[i+1]-offsets[i];
        ArrayRCP<nonzero_t> ones(num_adjs,1);
        ArrayRCP<const gno_t> cols(adjacencyIds,offsets[i],num_adjs,false);
        secondAdj->insertGlobalValues(row,cols(),ones());
      }
      secondAdj->fillComplete();
    }

    //The mapping of the ghosts per hypergraph vertex
    ghost_map_t ghosts; 

    //Read the 1 layer ghosts from the second adjacency matrix
    Array<gno_t> Indices;
    Array<nonzero_t> Values;
    for (unsigned int i=0;i<numLocalEdges_;i++) {
      if (!isOwner_[i])
        continue;
      gno_t gid = edgeGids_[i];
      size_t NumEntries = secondAdj->getNumEntriesInGlobalRow (gid);
      Indices.resize (NumEntries);
      Values.resize (NumEntries);
      secondAdj->getGlobalRowCopy(gid,Indices(),Values(),NumEntries);
      for (size_t j = 0; j < NumEntries; ++j) {
  if(gid != Indices[j]) {
          ghosts[gid].insert(Indices[j]);
  }
      }
    }
    
    // The ith power of the second adjacency matrix is the ith layer of ghosts.
    // Here we compute the ith power of the matrix and add the ith layer ghosts
    // from the new matrix.
    RCP<sparse_matrix_type> mat_old = secondAdj;
    for (unsigned int i=1;i<layers;i++) {
      RCP<sparse_matrix_type> mat_new = 
        rcp (new sparse_matrix_type(secondAdj->getRowMap(),0));
      Tpetra::MatrixMatrix::Multiply(*mat_old,false,*secondAdj,false,*mat_new);
      for (unsigned int j=0;j<numLocalEdges_;j++) {
        if (!isOwner_[j])
          continue;
        gno_t gid = edgeGids_[j];
        size_t NumEntries = mat_new->getNumEntriesInGlobalRow (gid);
        Indices.resize(NumEntries);
        Values.resize(NumEntries);
        mat_new->getGlobalRowCopy(gid,Indices(),Values(),NumEntries);
        for (size_t k = 0; k < NumEntries; ++k) 
          if(gid != Indices[k]) 
            ghosts[gid].insert(Indices[k]);
        
      }
      mat_old = mat_new;
    }

    //Make the pins from the ghosts
    for (size_t i=0;i<numLocalVertices_;i++) {//for each local entity
      numLocalPins_+=ghosts[gids_[i]].size();
    }
    gno_t* temp_pins = new gno_t[numLocalPins_];
    offset_t* temp_offsets = new offset_t[numLocalVertices_+1];
    gno_t j=0;
    for (size_t i=0;i<numLocalVertices_;i++) {//for each local entity
      temp_offsets[i]=j;
      if (!isOwner_[i])
        continue;
      typename ghost_t::iterator itr;
      for (itr=ghosts[gids_[i]].begin();itr!=ghosts[gids_[i]].end();itr++) { //for each ghost of this entity
        temp_pins[j]=*itr;
        j++;
        
      }
    }
    temp_offsets[numLocalVertices_]=numLocalPins_;
    pinGids_ = arcp<const gno_t>(temp_pins,0,numLocalPins_,true);
    offsets_ = arcp<const offset_t>(temp_offsets,0,numLocalVertices_+1,true);
    
    //==============================Ghosting complete=================================
  }


  //Get the vertex weights
  numWeightsPerVertex_ = ia->getNumWeightsPerID();

  if (numWeightsPerVertex_ > 0){
    input_t *weightInfo = new input_t [numWeightsPerVertex_];
    env_->localMemoryAssertion(__FILE__, __LINE__, numWeightsPerVertex_,
                               weightInfo);

    for (int idx=0; idx < numWeightsPerVertex_; idx++){
      bool useNumNZ = ia->useDegreeAsWeight(idx);
      if (useNumNZ){
        scalar_t *wgts = new scalar_t [numLocalVertices_];
        env_->localMemoryAssertion(__FILE__, __LINE__, numLocalVertices_, wgts);
        ArrayRCP<const scalar_t> wgtArray =
          arcp(wgts, 0, numLocalVertices_, true);
        for (size_t i=0; i < numLocalVertices_; i++){
          wgts[i] = offsets_[i+1] - offsets_[i];
        }
        weightInfo[idx] = input_t(wgtArray, 1);
      }
      else{
        const scalar_t *weights=NULL;
        int stride=0;
        ia->getWeightsView(weights, stride, idx);
        ArrayRCP<const scalar_t> wgtArray = arcp(weights, 0,
                                                 stride*numLocalVertices_,
                                                 false);
        weightInfo[idx] = input_t(wgtArray, stride);
      }
    }

    vWeights_ = arcp<input_t>(weightInfo, 0, numWeightsPerVertex_, true);
  }

  //TODO get the weights for edges, and pins(?)

  //Get the vertex coordinates from the primary types
  typedef MeshAdapter<user_t> adapterWithCoords_t;
  shared_GetVertexCoords<adapterWithCoords_t>(&(*ia));

  env_->timerStop(MACRO_TIMERS, "HyperGraphModel constructed from MeshAdapter");
  print();
}


template <typename Adapter>
template <typename AdapterWithCoords>
void HyperGraphModel<Adapter>::shared_GetVertexCoords(const AdapterWithCoords *ia)
{
  // get Vertex coordinates from input adapter

  vCoordDim_ = ia->getDimension();

  if (vCoordDim_ > 0){
    input_t *coordInfo = new input_t [vCoordDim_];
    env_->localMemoryAssertion(__FILE__, __LINE__, vCoordDim_, coordInfo);

    for (int dim=0; dim < vCoordDim_; dim++){
      const scalar_t *coords=NULL;
      int stride=0;
      ia->getCoordinatesView(coords, stride, dim);
      ArrayRCP<const scalar_t> coordArray = arcp(coords, 0,
                                                 stride*numLocalVertices_,
                                                 false);
      coordInfo[dim] = input_t(coordArray, stride);
    }

    vCoords_ = arcp<input_t>(coordInfo, 0, vCoordDim_, true);
  }
}

template <typename Adapter>
void HyperGraphModel<Adapter>::print()
{
  //only prints the model if debug status is verbose
  if (env_->getDebugLevel() < VERBOSE_DETAILED_STATUS)
    return;

  std::ostream *os = env_->getDebugOStream();
  
  int me = comm_->getRank();
  std::string fn(" ");

  *os << me << fn
      << " Nvtx  " << gids_.size()
      << " Nedge " << edgeGids_.size()
      << " NPins " << numLocalPins_
      << " NVWgt " << numWeightsPerVertex_
      << " NEWgt " << nWeightsPerEdge_
      << " NPWgt " << nWeightsPerPin_
      << " CDim  " << vCoordDim_
      << std::endl;

  for (lno_t i = 0; i < gids_.size(); i++) {
    *os << me << fn << i << " VTXGID " << gids_[i]<<" isOwner: "<<isOwner_[i];
    if (numWeightsPerVertex_==1)
      *os << " weight: " << vWeights_[0][i]; 
    if (view_==VERTEX_CENTRIC) {
      *os <<" pins:";
      for (offset_t j = offsets_[i]; j< offsets_[i+1];j++)
        *os <<" "<<pinGids_[j];
    }
    *os << std::endl;
  }
  for (lno_t i = 0; i<edgeGids_.size();i++) {
    *os << me << fn << i << " EDGEGID " << edgeGids_[i];
    if (view_==HYPEREDGE_CENTRIC) {
      *os <<":";
      for (offset_t j = offsets_[i]; j< offsets_[i+1];j++)
        *os <<" "<<pinGids_[j];
    }
    *os << std::endl;
  }
  if (vCoordDim_) {
    for (lno_t i = 0; i < gids_.size(); i++) {
      *os << me << fn << i << " COORDS " << gids_[i] << ": ";
      for (int j = 0; j < vCoordDim_; j++)
         *os << vCoords_[j][i] << " ";
      *os << std::endl;
    }
  }
  else
    *os << me << fn << "NO COORDINATES AVAIL " << std::endl;
}

}   // namespace Zoltan2


#endif