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+#ifndef _HG_H_
+#define _HG_H_
+
+#include <string>
+#include <vector>
+
+#include "small_vector.h"
+#include "sparse_vector.h"
+#include "wordid.h"
+#include "trule.h"
+#include "prob.h"
+
+// class representing an acyclic hypergraph
+// - edges have 1 head, 0..n tails
+class Hypergraph {
+ public:
+ Hypergraph() {}
+
+ // SmallVector is a fast, small vector<int> implementation for sizes <= 2
+ typedef SmallVector TailNodeVector;
+
+ // TODO get rid of state_ and cat_?
+ struct Node {
+ Node() : id_(), cat_() {}
+ int id_; // equal to this object's position in the nodes_ vector
+ WordID cat_; // non-terminal category if <0, 0 if not set
+ std::vector<int> in_edges_; // contents refer to positions in edges_
+ std::vector<int> out_edges_; // contents refer to positions in edges_
+ std::string state_; // opaque state
+ };
+
+ // TODO get rid of edge_prob_? (can be computed on the fly as the dot
+ // product of the weight vector and the feature values)
+ struct Edge {
+ Edge() : i_(-1), j_(-1), prev_i_(-1), prev_j_(-1) {}
+ inline int Arity() const { return tail_nodes_.size(); }
+ int head_node_; // refers to a position in nodes_
+ TailNodeVector tail_nodes_; // contents refer to positions in nodes_
+ TRulePtr rule_;
+ SparseVector<double> feature_values_;
+ prob_t edge_prob_; // dot product of weights and feat_values
+ int id_; // equal to this object's position in the edges_ vector
+
+ // span info. typically, i_ and j_ refer to indices in the source sentence
+ // if a synchronous parse has been executed i_ and j_ will refer to indices
+ // in the target sentence / lattice and prev_i_ prev_j_ will refer to
+ // positions in the source. Note: it is up to the translator implementation
+ // to properly set these values. For some models (like the Forest-input
+ // phrase based model) it may not be straightforward to do. if these values
+ // are not properly set, most things will work but alignment and any features
+ // that depend on them will be broken.
+ short int i_;
+ short int j_;
+ short int prev_i_;
+ short int prev_j_;
+ };
+
+ void swap(Hypergraph& other) {
+ other.nodes_.swap(nodes_);
+ other.edges_.swap(edges_);
+ }
+
+ void ResizeNodes(int size) {
+ nodes_.resize(size);
+ for (int i = 0; i < size; ++i) nodes_[i].id_ = i;
+ }
+
+ // reserves space in the nodes vector to prevent memory locations
+ // from changing
+ void ReserveNodes(size_t n, size_t e = 0) {
+ nodes_.reserve(n);
+ if (e) edges_.reserve(e);
+ }
+
+ Edge* AddEdge(const TRulePtr& rule, const TailNodeVector& tail) {
+ edges_.push_back(Edge());
+ Edge* edge = &edges_.back();
+ edge->rule_ = rule;
+ edge->tail_nodes_ = tail;
+ edge->id_ = edges_.size() - 1;
+ for (int i = 0; i < edge->tail_nodes_.size(); ++i)
+ nodes_[edge->tail_nodes_[i]].out_edges_.push_back(edge->id_);
+ return edge;
+ }
+
+ Node* AddNode(const WordID& cat, const std::string& state = "") {
+ nodes_.push_back(Node());
+ nodes_.back().cat_ = cat;
+ nodes_.back().state_ = state;
+ nodes_.back().id_ = nodes_.size() - 1;
+ return &nodes_.back();
+ }
+
+ void ConnectEdgeToHeadNode(const int edge_id, const int head_id) {
+ edges_[edge_id].head_node_ = head_id;
+ nodes_[head_id].in_edges_.push_back(edge_id);
+ }
+
+ // TODO remove this - use the version that takes indices
+ void ConnectEdgeToHeadNode(Edge* edge, Node* head) {
+ edge->head_node_ = head->id_;
+ head->in_edges_.push_back(edge->id_);
+ }
+
+ // merge the goal node from other with this goal node
+ void Union(const Hypergraph& other);
+
+ void PrintGraphviz() const;
+
+ // compute the total number of paths in the forest
+ double NumberOfPaths() const;
+
+ // BEWARE. this assumes that the source and target language
+ // strings are identical and that there are no loops.
+ // It assumes a bunch of other things about where the
+ // epsilons will be. It tries to assert failure if you
+ // break these assumptions, but it may not.
+ // TODO - make this work
+ void EpsilonRemove(WordID eps);
+
+ // multiple the weights vector by the edge feature vector
+ // (inner product) to set the edge probabilities
+ template <typename V>
+ void Reweight(const V& weights) {
+ for (int i = 0; i < edges_.size(); ++i) {
+ Edge& e = edges_[i];
+ e.edge_prob_.logeq(e.feature_values_.dot(weights));
+ }
+ }
+
+ // computes inside and outside scores for each
+ // edge in the hypergraph
+ // alpha->size = edges_.size = beta->size
+ // returns inside prob of goal node
+ prob_t ComputeEdgePosteriors(double scale,
+ std::vector<prob_t>* posts) const;
+
+ // find the score of the very best path passing through each edge
+ prob_t ComputeBestPathThroughEdges(std::vector<prob_t>* posts) const;
+
+ // move weights as near to the source as possible, resulting in a
+ // stochastic automaton. ONLY FUNCTIONAL FOR *LATTICES*.
+ // See M. Mohri and M. Riley. A Weight Pushing Algorithm for Large
+ // Vocabulary Speech Recognition. 2001.
+ // the log semiring (NOT tropical) is used
+ void PushWeightsToSource(double scale = 1.0);
+ // same, except weights are pushed to the goal, works for HGs,
+ // not just lattices
+ void PushWeightsToGoal(double scale = 1.0);
+
+ void SortInEdgesByEdgeWeights();
+
+ void PruneUnreachable(int goal_node_id); // DEPRECATED
+
+ void RemoveNoncoaccessibleStates(int goal_node_id = -1);
+
+ // remove edges from the hypergraph if prune_edge[edge_id] is true
+ void PruneEdges(const std::vector<bool>& prune_edge);
+
+ // if you don't know, use_sum_prod_semiring should be false
+ void DensityPruneInsideOutside(const double scale, const bool use_sum_prod_semiring, const double density,
+ const std::vector<bool>* preserve_mask = NULL);
+
+ // prunes any edge whose score on the best path taking that edge is more than alpha away
+ // from the score of the global best past (or the highest edge posterior)
+ void BeamPruneInsideOutside(const double scale, const bool use_sum_prod_semiring, const double alpha,
+ const std::vector<bool>* preserve_mask = NULL);
+
+ void clear() {
+ nodes_.clear();
+ edges_.clear();
+ }
+
+ inline size_t NumberOfEdges() const { return edges_.size(); }
+ inline size_t NumberOfNodes() const { return nodes_.size(); }
+ inline bool empty() const { return nodes_.empty(); }
+
+ // nodes_ is sorted in topological order
+ std::vector<Node> nodes_;
+ // edges_ is not guaranteed to be in any particular order
+ std::vector<Edge> edges_;
+
+ // reorder nodes_ so they are in topological order
+ // source nodes at 0 sink nodes at size-1
+ void TopologicallySortNodesAndEdges(int goal_idx,
+ const std::vector<bool>* prune_edges = NULL);
+ private:
+ // returns total nodes reachable
+ int MarkReachable(const Node& node,
+ std::vector<bool>* rmap,
+ const std::vector<bool>* prune_edges) const;
+
+ static TRulePtr kEPSRule;
+ static TRulePtr kUnaryRule;
+};
+
+// common WeightFunctions, map an edge -> WeightType
+// for generic Viterbi/Inside algorithms
+struct EdgeProb {
+ inline const prob_t& operator()(const Hypergraph::Edge& e) const { return e.edge_prob_; }
+};
+
+struct ScaledEdgeProb {
+ ScaledEdgeProb(const double& alpha) : alpha_(alpha) {}
+ inline prob_t operator()(const Hypergraph::Edge& e) const { return e.edge_prob_.pow(alpha_); }
+ const double alpha_;
+};
+
+struct EdgeFeaturesWeightFunction {
+ inline const SparseVector<double>& operator()(const Hypergraph::Edge& e) const { return e.feature_values_; }
+};
+
+struct TransitionEventWeightFunction {
+ inline SparseVector<prob_t> operator()(const Hypergraph::Edge& e) const {
+ SparseVector<prob_t> result;
+ result.set_value(e.id_, prob_t::One());
+ return result;
+ }
+};
+
+struct TransitionCountWeightFunction {
+ inline double operator()(const Hypergraph::Edge& e) const { (void)e; return 1.0; }
+};
+
+#endif