From 1b8181bf0d6e9137e6b9ccdbe414aec37377a1a9 Mon Sep 17 00:00:00 2001
From: Chris Dyer <cdyer@allegro.clab.cs.cmu.edu>
Date: Sun, 18 Nov 2012 13:35:42 -0500
Subject: major restructure of the training code

---
 training/dpmert/mert_geometry.h | 81 +++++++++++++++++++++++++++++++++++++++++
 1 file changed, 81 insertions(+)
 create mode 100644 training/dpmert/mert_geometry.h

(limited to 'training/dpmert/mert_geometry.h')

diff --git a/training/dpmert/mert_geometry.h b/training/dpmert/mert_geometry.h
new file mode 100644
index 00000000..a8b6959e
--- /dev/null
+++ b/training/dpmert/mert_geometry.h
@@ -0,0 +1,81 @@
+#ifndef _MERT_GEOMETRY_H_
+#define _MERT_GEOMETRY_H_
+
+#include <vector>
+#include <iostream>
+#include <boost/shared_ptr.hpp>
+
+#include "hg.h"
+#include "sparse_vector.h"
+
+static const double kMinusInfinity = -std::numeric_limits<double>::infinity();
+static const double kPlusInfinity = std::numeric_limits<double>::infinity();
+
+struct MERTPoint {
+  MERTPoint() : x(), m(), b(), edge() {}
+  MERTPoint(double _m, double _b) :
+    x(kMinusInfinity), m(_m), b(_b), edge() {}
+  MERTPoint(double _x, double _m, double _b, const boost::shared_ptr<MERTPoint>& p1_, const boost::shared_ptr<MERTPoint>& p2_) :
+    x(_x), m(_m), b(_b), p1(p1_), p2(p2_), edge() {}
+  MERTPoint(double _m, double _b, const Hypergraph::Edge& edge) :
+    x(kMinusInfinity), m(_m), b(_b), edge(&edge) {}
+
+  double x;                   // x intersection with previous segment in env, or -inf if none
+  double m;                   // this line's slope
+  double b;                   // intercept with y-axis
+
+  // we keep a pointer to the "parents" of this segment so we can reconstruct
+  // the Viterbi translation corresponding to this segment
+  boost::shared_ptr<MERTPoint> p1;
+  boost::shared_ptr<MERTPoint> p2;
+
+  // only MERTPoints created from an edge using the ConvexHullWeightFunction
+  // have rules
+  // TRulePtr rule;
+  const Hypergraph::Edge* edge;
+
+  // recursively recover the Viterbi translation that will result from setting
+  // the weights to origin + axis * x, where x is any value from this->x up
+  // until the next largest x in the containing ConvexHull
+  void ConstructTranslation(std::vector<WordID>* trans) const;
+  void CollectEdgesUsed(std::vector<bool>* edges_used) const;
+};
+
+// this is the semiring value type,
+// it defines constructors for 0, 1, and the operations + and *
+struct ConvexHull {
+  // create semiring zero
+  ConvexHull() : is_sorted(true) {}  // zero
+  // for debugging:
+  ConvexHull(const std::vector<boost::shared_ptr<MERTPoint> >& s) : points(s) { Sort(); }
+  // create semiring 1 or 0
+  explicit ConvexHull(int i);
+  ConvexHull(int n, MERTPoint* point) : is_sorted(true), points(n, boost::shared_ptr<MERTPoint>(point)) {}
+  const ConvexHull& operator+=(const ConvexHull& other);
+  const ConvexHull& operator*=(const ConvexHull& other);
+  bool IsMultiplicativeIdentity() const {
+    return size() == 1 && (points[0]->b == 0.0 && points[0]->m == 0.0) && (!points[0]->edge) && (!points[0]->p1) && (!points[0]->p2); }
+  const std::vector<boost::shared_ptr<MERTPoint> >& GetSortedSegs() const {
+    if (!is_sorted) Sort();
+    return points;
+  }
+  size_t size() const { return points.size(); }
+
+ private:
+  bool IsEdgeEnvelope() const {
+    return points.size() == 1 && points[0]->edge; }
+  void Sort() const;
+  mutable bool is_sorted;
+  mutable std::vector<boost::shared_ptr<MERTPoint> > points;
+};
+std::ostream& operator<<(std::ostream& os, const ConvexHull& env);
+
+struct ConvexHullWeightFunction {
+  ConvexHullWeightFunction(const SparseVector<double>& ori,
+                           const SparseVector<double>& dir) : origin(ori), direction(dir) {}
+  const ConvexHull operator()(const Hypergraph::Edge& e) const;
+  const SparseVector<double> origin;
+  const SparseVector<double> direction;
+};
+
+#endif
-- 
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