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								/* ----------------------------------------------------------------------------
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								 * GTSAM Copyright 2010, Georgia Tech Research Corporation, 
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								 * Atlanta, Georgia 30332-0415
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								 * All Rights Reserved
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								 * Authors: Frank Dellaert, et al. (see THANKS for the full author list)
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								 * See LICENSE for the license information
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								 * -------------------------------------------------------------------------- */
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								/**
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								 * @file    Factor.h
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								 * @brief   A simple factor class to use in a factor graph
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								 * @brief   factor
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								 * @author  Kai Ni
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								 * @author  Frank Dellaert
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								 */
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								// \callgraph
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								#pragma once
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								#include <vector>
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								#include <map>
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								#include <boost/utility.hpp> // for noncopyable
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								#include <boost/serialization/nvp.hpp>
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								#include <gtsam/base/types.h>
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								#include <gtsam/base/Testable.h>
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								#include <gtsam/inference/inference.h>
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								namespace gtsam {
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								class Conditional;
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								/**
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								 * A simple factor class to use in a factor graph.
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								 *
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								 * We make it noncopyable so we enforce the fact that factors are
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								 * kept in pointer containers. To be safe, you should make them
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								 * immutable, i.e., practicing functional programming. However, this
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								 * conflicts with efficiency as well, esp. in the case of incomplete
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								 * QR factorization. A solution is still being sought.
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								 *
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								 * A Factor is templated on a Values, for example VectorValues is a values structure of
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								 * labeled vectors. This way, we can have factors that might be defined on discrete
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								 * variables, continuous ones, or a combination of both. It is up to the config to
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								 * provide the appropriate values at the appropriate time.
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								 */
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								class Factor : public Testable<Factor> {
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								protected:
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								  std::vector<Index> keys_;
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								  /** Internal check to make sure keys are sorted.
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								   * If NDEBUG is defined, this is empty and optimized out. */
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								  void assertInvariants() const;
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								public:
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								  typedef gtsam::Conditional Conditional;
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								  typedef boost::shared_ptr<Factor> shared_ptr;
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								  typedef std::vector<Index>::iterator iterator;
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								  typedef std::vector<Index>::const_iterator const_iterator;
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								  /** Copy constructor */
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								  Factor(const Factor& f);
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								  /** Construct from derived type */
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								  Factor(const Conditional& c);
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								  /** Constructor from a collection of keys */
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								  template<class KeyIterator> Factor(KeyIterator beginKey, KeyIterator endKey);
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								  /** Default constructor for I/O */
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								  Factor() {}
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								  /** Construct unary factor */
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								  Factor(Index key) : keys_(1) {
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								    keys_[0] = key; assertInvariants(); }
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								  /** Construct binary factor */
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								  Factor(Index key1, Index key2) : keys_(2) {
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								    keys_[0] = key1; keys_[1] = key2; assertInvariants(); }
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								  /** Construct ternary factor */
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								  Factor(Index key1, Index key2, Index key3) : keys_(3) {
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								    keys_[0] = key1; keys_[1] = key2; keys_[2] = key3; assertInvariants(); }
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								  /** Construct 4-way factor */
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								  Factor(Index key1, Index key2, Index key3, Index key4) : keys_(4) {
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								    keys_[0] = key1; keys_[1] = key2; keys_[2] = key3; keys_[3] = key4; assertInvariants(); }
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								  /** Named constructor for combining a set of factors with pre-computed set of
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								   * variables.  (Old style - will be removed when scalar elimination is
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								   * removed in favor of the EliminationTree). */
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								  template<class FactorGraphType, class VariableIndexStorage>
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								  static shared_ptr Combine(const FactorGraphType& factorGraph,
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								      const VariableIndex<VariableIndexStorage>& variableIndex, const std::vector<size_t>& factors,
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								      const std::vector<Index>& variables, const std::vector<std::vector<size_t> >& variablePositions);
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								  /** Create a combined joint factor (new style for EliminationTree). */
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								  template<class MapAllocator>
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								  static shared_ptr Combine(const FactorGraph<Factor>& factors, const std::map<Index, std::vector<Index>, std::less<Index>, MapAllocator>& variableSlots);
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								  /**
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								   * eliminate the first variable involved in this factor
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								   * @return a conditional on the eliminated variable
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								   */
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								  boost::shared_ptr<Conditional> eliminateFirst();
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								  /**
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								   * eliminate the first nrFrontals frontal variables.
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								   */
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								  boost::shared_ptr<BayesNet<Conditional> > eliminate(size_t nrFrontals = 1);
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								  /**
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								   * Permutes the GaussianFactor, but for efficiency requires the permutation
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								   * to already be inverted.
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								   */
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								  void permuteWithInverse(const Permutation& inversePermutation);
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								  /** iterators */
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								  const_iterator begin() const { return keys_.begin(); }
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								  const_iterator end() const { return keys_.end(); }
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								  /** mutable iterators */
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								  iterator begin() { return keys_.begin(); }
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								  iterator end() { return keys_.end(); }
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								  /** First key*/
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								  Index front() const { return keys_.front(); }
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								  /** Last key */
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								  Index back() const { return keys_.back(); }
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								  /** find */
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								  const_iterator find(Index key) const { return std::find(begin(), end(), key); }
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								  /** print */
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								  void print(const std::string& s = "Factor") const;
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								  /** check equality */
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								  bool equals(const Factor& other, double tol = 1e-9) const;
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								  /**
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								   * return keys in order as created
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								   */
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								  const std::vector<Index>& keys() const { return keys_; }
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								  /**
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								   * @return the number of nodes the factor connects
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								   */
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								  size_t size() const { return keys_.size(); }
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								protected:
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								  /** Conditional makes internal use of a Factor for storage */
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								  friend class gtsam::Conditional;
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								  friend class GaussianConditional;
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								  /** Serialization function */
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								  friend class boost::serialization::access;
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								  template<class Archive>
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								  void serialize(Archive & ar, const unsigned int version) {
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								    ar & BOOST_SERIALIZATION_NVP(keys_);
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								  }
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								};
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								/* ************************************************************************* */
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								inline void Factor::assertInvariants() const {
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								#ifndef NDEBUG
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								  std::set<Index> uniqueSorted(keys_.begin(), keys_.end());
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								  assert(uniqueSorted.size() == keys_.size());
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								  assert(std::equal(uniqueSorted.begin(), uniqueSorted.end(), keys_.begin()));
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								#endif
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								}
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								}
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