graph_op.cc

/*!
 *  Copyright (c) 2018 by Contributors
 * \file graph/graph.cc
 * \brief Graph operation implementation
 */
#include <dgl/graph_op.h>
#include <algorithm>

namespace dgl {

Graph GraphOp::LineGraph(const Graph* g, bool backtracking) {
  typedef std::pair<dgl_id_t, dgl_id_t> entry;
  typedef std::map<dgl_id_t, std::vector<entry>> csm;  // Compressed Sparse Matrix

  csm adj;
  std::vector<entry> vec;
  for (size_t i = 0; i != g->all_edges_src_.size(); ++i) {
    auto u = g->all_edges_src_[i];
    auto v = g->all_edges_dst_[i];
    auto ret = adj.insert(csm::value_type(u, vec));
    (ret.first)->second.push_back(std::make_pair(v, i));
  }

  std::vector<dgl_id_t> lg_src, lg_dst;
  for (size_t i = 0; i != g->all_edges_src_.size(); ++i) {
    auto u = g->all_edges_src_[i];
    auto v = g->all_edges_dst_[i];
    auto j = adj.find(v);
    if (j != adj.end()) {
      for (size_t k = 0; k != j->second.size(); ++k) {
        if (backtracking || (!backtracking && j->second[k].first != u)) {
          lg_src.push_back(i);
          lg_dst.push_back(j->second[k].second);
        }
      }
    }
  }

  const int64_t len = lg_src.size();
  IdArray src = IdArray::Empty({len}, DLDataType{kDLInt, 64, 1}, DLContext{kDLCPU, 0});
  IdArray dst = IdArray::Empty({len}, DLDataType{kDLInt, 64, 1}, DLContext{kDLCPU, 0});
  int64_t* src_ptr = static_cast<int64_t*>(src->data);
  int64_t* dst_ptr = static_cast<int64_t*>(dst->data);
  std::copy(lg_src.begin(), lg_src.end(), src_ptr);
  std::copy(lg_dst.begin(), lg_dst.end(), dst_ptr);

  Graph lg;
  lg.AddVertices(g->NumEdges());
  lg.AddEdges(src, dst);
  return lg;
}

Graph GraphOp::DisjointUnion(std::vector<const Graph*> graphs) {
  Graph rst;
  uint64_t cumsum = 0;
  for (const Graph* gr : graphs) {
    rst.AddVertices(gr->NumVertices());
    for (uint64_t i = 0; i < gr->NumEdges(); ++i) {
      rst.AddEdge(gr->all_edges_src_[i] + cumsum, gr->all_edges_dst_[i] + cumsum);
    }
    cumsum += gr->NumVertices();
  }
  return rst;
}

std::vector<Graph> GraphOp::DisjointPartitionByNum(const Graph* graph, int64_t num) {
  CHECK(num != 0 && graph->NumVertices() % num == 0)
    << "Number of partitions must evenly divide the number of nodes.";
  IdArray sizes = IdArray::Empty({num}, DLDataType{kDLInt, 64, 1}, DLContext{kDLCPU, 0});
  int64_t* sizes_data = static_cast<int64_t*>(sizes->data);
  std::fill(sizes_data, sizes_data + num, graph->NumVertices() / num);
  return DisjointPartitionBySizes(graph, sizes);
}

std::vector<Graph> GraphOp::DisjointPartitionBySizes(const Graph* graph, IdArray sizes) {
  const int64_t len = sizes->shape[0];
  const int64_t* sizes_data = static_cast<int64_t*>(sizes->data);
  std::vector<int64_t> cumsum;
  cumsum.push_back(0);
  for (int64_t i = 0; i < len; ++i) {
    cumsum.push_back(cumsum[i] + sizes_data[i]);
  }
  CHECK_EQ(cumsum[len], graph->NumVertices())
    << "Sum of the given sizes must equal to the number of nodes.";
  dgl_id_t node_offset = 0, edge_offset = 0;
  std::vector<Graph> rst(len);
  for (int64_t i = 0; i < len; ++i) {
    // copy adj
    rst[i].adjlist_.insert(rst[i].adjlist_.end(),
        graph->adjlist_.begin() + node_offset,
        graph->adjlist_.begin() + node_offset + sizes_data[i]);
    rst[i].reverse_adjlist_.insert(rst[i].reverse_adjlist_.end(),
        graph->reverse_adjlist_.begin() + node_offset,
        graph->reverse_adjlist_.begin() + node_offset + sizes_data[i]);
    // relabel adjs
    size_t num_edges = 0;
    for (auto& elist : rst[i].adjlist_) {
      for (size_t j = 0; j < elist.succ.size(); ++j) {
        elist.succ[j] -= node_offset;
        elist.edge_id[j] -= edge_offset;
      }
      num_edges += elist.succ.size();
    }
    for (auto& elist : rst[i].reverse_adjlist_) {
      for (size_t j = 0; j < elist.succ.size(); ++j) {
        elist.succ[j] -= node_offset;
        elist.edge_id[j] -= edge_offset;
      }
    }
    // copy edges
    rst[i].all_edges_src_.reserve(num_edges);
    rst[i].all_edges_dst_.reserve(num_edges);
    rst[i].num_edges_ = num_edges;
    for (size_t j = edge_offset; j < edge_offset + num_edges; ++j) {
      rst[i].all_edges_src_.push_back(graph->all_edges_src_[j] - node_offset);
      rst[i].all_edges_dst_.push_back(graph->all_edges_dst_[j] - node_offset);
    }
    // update offset
    CHECK_EQ(rst[i].NumVertices(), sizes_data[i]);
    CHECK_EQ(rst[i].NumEdges(), num_edges);
    node_offset += sizes_data[i];
    edge_offset += num_edges;
  }
  return rst;
}

}  // namespace dgl