589 lines
		
	
	
		
			19 KiB
		
	
	
	
		
			C++
		
	
	
			
		
		
	
	
			589 lines
		
	
	
		
			19 KiB
		
	
	
	
		
			C++
		
	
	
| /* ----------------------------------------------------------------------------
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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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| 
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|  * See LICENSE for the license information
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| 
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|  * -------------------------------------------------------------------------- */
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| 
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| /**
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|  * @file    BatchFixedLagSmoother.cpp
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|  * @brief   An LM-based fixed-lag smoother.
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|  *
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|  * @author  Michael Kaess, Stephen Williams
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|  * @date    Oct 14, 2012
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|  */
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| 
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| #include <gtsam_unstable/nonlinear/BatchFixedLagSmoother.h>
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| #include <gtsam/nonlinear/LinearContainerFactor.h>
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| #include <gtsam/linear/GaussianJunctionTree.h>
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| #include <gtsam/linear/GaussianFactorGraph.h>
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| #include <gtsam/linear/GaussianFactor.h>
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| //#include <gtsam/inference/inference.h>
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| #include <gtsam/base/debug.h>
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| 
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| namespace gtsam {
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| 
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| /* ************************************************************************* */
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| void BatchFixedLagSmoother::print(const std::string& s,
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|     const KeyFormatter& keyFormatter) const {
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|   FixedLagSmoother::print(s, keyFormatter);
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|   // TODO: What else to print?
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| }
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| 
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| /* ************************************************************************* */
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| bool BatchFixedLagSmoother::equals(const FixedLagSmoother& rhs,
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|     double tol) const {
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|   const BatchFixedLagSmoother* e =
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|       dynamic_cast<const BatchFixedLagSmoother*>(&rhs);
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|   return e != NULL && FixedLagSmoother::equals(*e, tol)
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|       && factors_.equals(e->factors_, tol) && theta_.equals(e->theta_, tol);
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| }
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| 
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| /* ************************************************************************* */
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| Matrix BatchFixedLagSmoother::marginalCovariance(Key key) const {
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|   throw std::runtime_error(
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|       "BatchFixedLagSmoother::marginalCovariance not implemented");
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| }
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| 
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| /* ************************************************************************* */
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| FixedLagSmoother::Result BatchFixedLagSmoother::update(
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|     const NonlinearFactorGraph& newFactors, const Values& newTheta,
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|     const KeyTimestampMap& timestamps) {
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| 
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|   const bool debug = ISDEBUG("BatchFixedLagSmoother update");
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|   if (debug) {
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|     std::cout << "BatchFixedLagSmoother::update() START" << std::endl;
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|   }
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| 
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|   // Update all of the internal variables with the new information
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|   gttic(augment_system);
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|   // Add the new variables to theta
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|   theta_.insert(newTheta);
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|   // Add new variables to the end of the ordering
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|   BOOST_FOREACH(const Values::ConstKeyValuePair& key_value, newTheta) {
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|     ordering_.push_back(key_value.key);
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|   }
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|   // Augment Delta
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|   delta_.insert(newTheta.zeroVectors());
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| 
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|   // Add the new factors to the graph, updating the variable index
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|   insertFactors(newFactors);
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|   gttoc(augment_system);
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| 
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|   // Update the Timestamps associated with the factor keys
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|   updateKeyTimestampMap(timestamps);
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| 
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|   // Get current timestamp
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|   double current_timestamp = getCurrentTimestamp();
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|   if (debug)
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|     std::cout << "Current Timestamp: " << current_timestamp << std::endl;
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| 
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|   // Find the set of variables to be marginalized out
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|   std::set<Key> marginalizableKeys = findKeysBefore(
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|       current_timestamp - smootherLag_);
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|   if (debug) {
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|     std::cout << "Marginalizable Keys: ";
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|     BOOST_FOREACH(Key key, marginalizableKeys) {
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|       std::cout << DefaultKeyFormatter(key) << " ";
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|     }
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|     std::cout << std::endl;
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|   }
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| 
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|   // Reorder
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|   gttic(reorder);
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|   reorder(marginalizableKeys);
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|   gttoc(reorder);
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| 
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|   // Optimize
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|   gttic(optimize);
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|   Result result;
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|   if (factors_.size() > 0) {
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|     result = optimize();
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|   }
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|   gttoc(optimize);
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| 
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|   // Marginalize out old variables.
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|   gttic(marginalize);
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|   if (marginalizableKeys.size() > 0) {
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|     marginalize(marginalizableKeys);
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|   }
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|   gttoc(marginalize);
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| 
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|   if (debug) {
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|     std::cout << "BatchFixedLagSmoother::update() FINISH" << std::endl;
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|   }
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| 
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|   return result;
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| }
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| 
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| /* ************************************************************************* */
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| void BatchFixedLagSmoother::insertFactors(
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|     const NonlinearFactorGraph& newFactors) {
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|   BOOST_FOREACH(const NonlinearFactor::shared_ptr& factor, newFactors) {
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|     Key index;
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|     // Insert the factor into an existing hole in the factor graph, if possible
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|     if (availableSlots_.size() > 0) {
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|       index = availableSlots_.front();
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|       availableSlots_.pop();
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|       factors_.replace(index, factor);
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|     } else {
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|       index = factors_.size();
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|       factors_.push_back(factor);
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|     }
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|     // Update the FactorIndex
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|     BOOST_FOREACH(Key key, *factor) {
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|       factorIndex_[key].insert(index);
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|     }
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|   }
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| }
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| 
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| /* ************************************************************************* */
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| void BatchFixedLagSmoother::removeFactors(
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|     const std::set<size_t>& deleteFactors) {
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|   BOOST_FOREACH(size_t slot, deleteFactors) {
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|     if (factors_.at(slot)) {
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|       // Remove references to this factor from the FactorIndex
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|       BOOST_FOREACH(Key key, *(factors_.at(slot))) {
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|         factorIndex_[key].erase(slot);
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|       }
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|       // Remove the factor from the factor graph
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|       factors_.remove(slot);
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|       // Add the factor's old slot to the list of available slots
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|       availableSlots_.push(slot);
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|     } else {
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|       // TODO: Throw an error??
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|       std::cout << "Attempting to remove a factor from slot " << slot
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|           << ", but it is already NULL." << std::endl;
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|     }
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|   }
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| }
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| 
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| /* ************************************************************************* */
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| void BatchFixedLagSmoother::eraseKeys(const std::set<Key>& keys) {
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| 
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|   BOOST_FOREACH(Key key, keys) {
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|     // Erase the key from the values
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|     theta_.erase(key);
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| 
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|     // Erase the key from the factor index
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|     factorIndex_.erase(key);
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| 
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|     // Erase the key from the set of linearized keys
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|     if (linearKeys_.exists(key)) {
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|       linearKeys_.erase(key);
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|     }
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|   }
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| 
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|   eraseKeyTimestampMap(keys);
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| 
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|   // Remove marginalized keys from the ordering and delta
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|   BOOST_FOREACH(Key key, keys) {
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|     ordering_.erase(std::find(ordering_.begin(), ordering_.end(), key));
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|     delta_.erase(key);
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|   }
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| }
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| 
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| /* ************************************************************************* */
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| void BatchFixedLagSmoother::reorder(const std::set<Key>& marginalizeKeys) {
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| 
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|   const bool debug = ISDEBUG("BatchFixedLagSmoother reorder");
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| 
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|   if (debug) {
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|     std::cout << "BatchFixedLagSmoother::reorder() START" << std::endl;
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|   }
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| 
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|   if (debug) {
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|     std::cout << "Marginalizable Keys: ";
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|     BOOST_FOREACH(Key key, marginalizeKeys) {
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|       std::cout << DefaultKeyFormatter(key) << " ";
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|     }
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|     std::cout << std::endl;
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|   }
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| 
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|   // COLAMD groups will be used to place marginalize keys in Group 0, and everything else in Group 1
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|   ordering_ = Ordering::colamdConstrainedFirst(factors_,
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|       std::vector<Key>(marginalizeKeys.begin(), marginalizeKeys.end()));
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| 
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|   if (debug) {
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|     ordering_.print("New Ordering: ");
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|   }
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| 
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|   if (debug) {
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|     std::cout << "BatchFixedLagSmoother::reorder() FINISH" << std::endl;
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|   }
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| }
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| 
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| /* ************************************************************************* */
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| FixedLagSmoother::Result BatchFixedLagSmoother::optimize() {
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| 
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|   const bool debug = ISDEBUG("BatchFixedLagSmoother optimize");
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| 
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|   if (debug) {
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|     std::cout << "BatchFixedLagSmoother::optimize() START" << std::endl;
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|   }
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| 
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|   // Create output result structure
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|   Result result;
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|   result.nonlinearVariables = theta_.size() - linearKeys_.size();
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|   result.linearVariables = linearKeys_.size();
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| 
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|   // Set optimization parameters
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|   double lambda = parameters_.lambdaInitial;
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|   double lambdaFactor = parameters_.lambdaFactor;
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|   double lambdaUpperBound = parameters_.lambdaUpperBound;
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|   double lambdaLowerBound = 1.0e-10;
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|   size_t maxIterations = parameters_.maxIterations;
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|   double relativeErrorTol = parameters_.relativeErrorTol;
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|   double absoluteErrorTol = parameters_.absoluteErrorTol;
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|   double errorTol = parameters_.errorTol;
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| 
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|   // Create a Values that holds the current evaluation point
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|   Values evalpoint = theta_.retract(delta_);
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|   result.error = factors_.error(evalpoint);
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| 
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|   // check if we're already close enough
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|   if (result.error <= errorTol) {
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|     if (debug) {
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|       std::cout << "BatchFixedLagSmoother::optimize  Exiting, as error = "
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|           << result.error << " < " << errorTol << std::endl;
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|     }
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|     return result;
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|   }
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| 
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|   if (debug) {
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|     std::cout << "BatchFixedLagSmoother::optimize  linearValues: "
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|         << linearKeys_.size() << std::endl;
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|     std::cout << "BatchFixedLagSmoother::optimize  Initial error: "
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|         << result.error << std::endl;
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|   }
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| 
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|   // Use a custom optimization loop so the linearization points can be controlled
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|   double previousError;
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|   VectorValues newDelta;
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|   do {
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|     previousError = result.error;
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| 
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|     // Do next iteration
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|     gttic(optimizer_iteration);
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|     {
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|       // Linearize graph around the linearization point
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|       GaussianFactorGraph linearFactorGraph = *factors_.linearize(theta_);
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| 
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|       // Keep increasing lambda until we make make progress
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|       while (true) {
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| 
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|         if (debug) {
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|           std::cout << "BatchFixedLagSmoother::optimize  trying lambda = "
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|               << lambda << std::endl;
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|         }
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| 
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|         // Add prior factors at the current solution
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|         gttic(damp);
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|         GaussianFactorGraph dampedFactorGraph(linearFactorGraph);
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|         dampedFactorGraph.reserve(linearFactorGraph.size() + delta_.size());
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|         {
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|           // for each of the variables, add a prior at the current solution
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|           double sigma = 1.0 / std::sqrt(lambda);
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|           BOOST_FOREACH(const VectorValues::KeyValuePair& key_value, delta_) {
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|             size_t dim = key_value.second.size();
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|             Matrix A = Matrix::Identity(dim, dim);
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|             Vector b = key_value.second;
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|             SharedDiagonal model = noiseModel::Isotropic::Sigma(dim, sigma);
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|             GaussianFactor::shared_ptr prior(
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|                 new JacobianFactor(key_value.first, A, b, model));
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|             dampedFactorGraph.push_back(prior);
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|           }
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|         }
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|         gttoc(damp);
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|         result.intermediateSteps++;
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| 
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|         gttic(solve);
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|         // Solve Damped Gaussian Factor Graph
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|         newDelta = dampedFactorGraph.optimize(ordering_,
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|             parameters_.getEliminationFunction());
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|         // update the evalpoint with the new delta
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|         evalpoint = theta_.retract(newDelta);
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|         gttoc(solve);
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| 
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|         // Evaluate the new error
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|         gttic(compute_error);
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|         double error = factors_.error(evalpoint);
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|         gttoc(compute_error);
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| 
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|         if (debug) {
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|           std::cout << "BatchFixedLagSmoother::optimize  linear delta norm = "
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|               << newDelta.norm() << std::endl;
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|           std::cout << "BatchFixedLagSmoother::optimize  next error = " << error
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|               << std::endl;
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|         }
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| 
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|         if (error < result.error) {
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|           // Keep this change
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|           // Update the error value
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|           result.error = error;
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|           // Update the linearization point
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|           theta_ = evalpoint;
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|           // Reset the deltas to zeros
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|           delta_.setZero();
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|           // Put the linearization points and deltas back for specific variables
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|           if (enforceConsistency_ && (linearKeys_.size() > 0)) {
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|             theta_.update(linearKeys_);
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|             BOOST_FOREACH(const Values::ConstKeyValuePair& key_value, linearKeys_) {
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|               delta_.at(key_value.key) = newDelta.at(key_value.key);
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|             }
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|           }
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|           // Decrease lambda for next time
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|           lambda /= lambdaFactor;
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|           if (lambda < lambdaLowerBound) {
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|             lambda = lambdaLowerBound;
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|           }
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|           // End this lambda search iteration
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|           break;
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|         } else {
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|           // Reject this change
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|           if (lambda >= lambdaUpperBound) {
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|             // The maximum lambda has been used. Print a warning and end the search.
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|             std::cout
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|                 << "Warning:  Levenberg-Marquardt giving up because cannot decrease error with maximum lambda"
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|                 << std::endl;
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|             break;
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|           } else {
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|             // Increase lambda and continue searching
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|             lambda *= lambdaFactor;
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|           }
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|         }
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|       } // end while
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|     }
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|     gttoc(optimizer_iteration);
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| 
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|     if (debug) {
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|       std::cout << "BatchFixedLagSmoother::optimize  using lambda = " << lambda
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|           << std::endl;
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|     }
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| 
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|     result.iterations++;
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|   } while (result.iterations < maxIterations
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|       && !checkConvergence(relativeErrorTol, absoluteErrorTol, errorTol,
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|           previousError, result.error, NonlinearOptimizerParams::SILENT));
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| 
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|   if (debug) {
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|     std::cout << "BatchFixedLagSmoother::optimize  newError: " << result.error
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|         << std::endl;
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|   }
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| 
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|   if (debug) {
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|     std::cout << "BatchFixedLagSmoother::optimize() FINISH" << std::endl;
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|   }
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| 
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|   return result;
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| }
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| 
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| /* ************************************************************************* */
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| void BatchFixedLagSmoother::marginalize(const std::set<Key>& marginalizeKeys) {
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|   // In order to marginalize out the selected variables, the factors involved in those variables
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|   // must be identified and removed. Also, the effect of those removed factors on the
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|   // remaining variables needs to be accounted for. This will be done with linear container factors
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|   // from the result of a partial elimination. This function removes the marginalized factors and
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|   // adds the linearized factors back in.
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| 
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|   const bool debug = ISDEBUG("BatchFixedLagSmoother marginalize");
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| 
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|   if (debug)
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|     std::cout << "BatchFixedLagSmoother::marginalize  Begin" << std::endl;
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| 
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|   if (debug) {
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|     std::cout << "BatchFixedLagSmoother::marginalize  Marginalize Keys: ";
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|     BOOST_FOREACH(Key key, marginalizeKeys) {
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|       std::cout << DefaultKeyFormatter(key) << " ";
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|     }
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|     std::cout << std::endl;
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|   }
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| 
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|   // Identify all of the factors involving any marginalized variable. These must be removed.
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|   std::set<size_t> removedFactorSlots;
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|   VariableIndex variableIndex(factors_);
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|   BOOST_FOREACH(Key key, marginalizeKeys) {
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|     const FastList<size_t>& slots = variableIndex[key];
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|     removedFactorSlots.insert(slots.begin(), slots.end());
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|   }
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| 
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|   if (debug) {
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|     std::cout << "BatchFixedLagSmoother::marginalize  Removed Factor Slots: ";
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|     BOOST_FOREACH(size_t slot, removedFactorSlots) {
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|       std::cout << slot << " ";
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|     }
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|     std::cout << std::endl;
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|   }
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| 
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|   // Add the removed factors to a factor graph
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|   NonlinearFactorGraph removedFactors;
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|   BOOST_FOREACH(size_t slot, removedFactorSlots) {
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|     if (factors_.at(slot)) {
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|       removedFactors.push_back(factors_.at(slot));
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|     }
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|   }
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| 
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|   if (debug) {
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|     PrintSymbolicGraph(removedFactors,
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|         "BatchFixedLagSmoother::marginalize  Removed Factors: ");
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|   }
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| 
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|   // Calculate marginal factors on the remaining keys
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|   NonlinearFactorGraph marginalFactors = calculateMarginalFactors(
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|       removedFactors, theta_, marginalizeKeys,
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|       parameters_.getEliminationFunction());
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| 
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|   if (debug) {
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|     PrintSymbolicGraph(removedFactors,
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|         "BatchFixedLagSmoother::marginalize  Marginal Factors: ");
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|   }
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| 
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|   // Remove marginalized factors from the factor graph
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|   removeFactors(removedFactorSlots);
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| 
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|   // Remove marginalized keys from the system
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|   eraseKeys(marginalizeKeys);
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| 
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|   // Insert the new marginal factors
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|   insertFactors(marginalFactors);
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| }
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| 
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| /* ************************************************************************* */
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| void BatchFixedLagSmoother::PrintKeySet(const std::set<Key>& keys,
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|     const std::string& label) {
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|   std::cout << label;
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|   BOOST_FOREACH(gtsam::Key key, keys) {
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|     std::cout << " " << gtsam::DefaultKeyFormatter(key);
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|   }
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|   std::cout << std::endl;
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| }
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| 
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| /* ************************************************************************* */
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| void BatchFixedLagSmoother::PrintKeySet(const gtsam::FastSet<Key>& keys,
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|     const std::string& label) {
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|   std::cout << label;
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|   BOOST_FOREACH(gtsam::Key key, keys) {
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|     std::cout << " " << gtsam::DefaultKeyFormatter(key);
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|   }
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|   std::cout << std::endl;
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| }
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| 
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| /* ************************************************************************* */
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| void BatchFixedLagSmoother::PrintSymbolicFactor(
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|     const NonlinearFactor::shared_ptr& factor) {
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|   std::cout << "f(";
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|   if (factor) {
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|     BOOST_FOREACH(Key key, factor->keys()) {
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|       std::cout << " " << gtsam::DefaultKeyFormatter(key);
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|     }
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|   } else {
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|     std::cout << " NULL";
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|   }
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|   std::cout << " )" << std::endl;
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| }
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| 
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| /* ************************************************************************* */
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| void BatchFixedLagSmoother::PrintSymbolicFactor(
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|     const GaussianFactor::shared_ptr& factor) {
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|   std::cout << "f(";
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|   BOOST_FOREACH(Key key, factor->keys()) {
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|     std::cout << " " << gtsam::DefaultKeyFormatter(key);
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|   }
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|   std::cout << " )" << std::endl;
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| }
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| 
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| /* ************************************************************************* */
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| void BatchFixedLagSmoother::PrintSymbolicGraph(
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|     const NonlinearFactorGraph& graph, const std::string& label) {
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|   std::cout << label << std::endl;
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|   BOOST_FOREACH(const NonlinearFactor::shared_ptr& factor, graph) {
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|     PrintSymbolicFactor(factor);
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|   }
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| }
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| 
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| /* ************************************************************************* */
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| void BatchFixedLagSmoother::PrintSymbolicGraph(const GaussianFactorGraph& graph,
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|     const std::string& label) {
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|   std::cout << label << std::endl;
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|   BOOST_FOREACH(const GaussianFactor::shared_ptr& factor, graph) {
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|     PrintSymbolicFactor(factor);
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|   }
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| }
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| 
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| /* ************************************************************************* */
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| NonlinearFactorGraph BatchFixedLagSmoother::calculateMarginalFactors(
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|     const NonlinearFactorGraph& graph, const Values& theta,
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|     const std::set<Key>& marginalizeKeys,
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|     const GaussianFactorGraph::Eliminate& eliminateFunction) {
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| 
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|   const bool debug = ISDEBUG("BatchFixedLagSmoother calculateMarginalFactors");
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| 
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|   if (debug)
 | |
|     std::cout << "BatchFixedLagSmoother::calculateMarginalFactors START"
 | |
|         << std::endl;
 | |
| 
 | |
|   if (debug)
 | |
|     PrintKeySet(marginalizeKeys,
 | |
|         "BatchFixedLagSmoother::calculateMarginalFactors  Marginalize Keys: ");
 | |
| 
 | |
|   // Get the set of all keys involved in the factor graph
 | |
|   FastSet<Key> allKeys(graph.keys());
 | |
|   if (debug)
 | |
|     PrintKeySet(allKeys,
 | |
|         "BatchFixedLagSmoother::calculateMarginalFactors  All Keys: ");
 | |
| 
 | |
|   // Calculate the set of RemainingKeys = AllKeys \Intersect marginalizeKeys
 | |
|   FastSet<Key> remainingKeys;
 | |
|   std::set_difference(allKeys.begin(), allKeys.end(), marginalizeKeys.begin(),
 | |
|       marginalizeKeys.end(), std::inserter(remainingKeys, remainingKeys.end()));
 | |
|   if (debug)
 | |
|     PrintKeySet(remainingKeys,
 | |
|         "BatchFixedLagSmoother::calculateMarginalFactors  Remaining Keys: ");
 | |
| 
 | |
|   if (marginalizeKeys.size() == 0) {
 | |
|     // There are no keys to marginalize. Simply return the input factors
 | |
|     if (debug)
 | |
|       std::cout << "BatchFixedLagSmoother::calculateMarginalFactors FINISH"
 | |
|           << std::endl;
 | |
|     return graph;
 | |
|   } else {
 | |
| 
 | |
|     // Create the linear factor graph
 | |
|     GaussianFactorGraph linearFactorGraph = *graph.linearize(theta);
 | |
|     // .first is the eliminated Bayes tree, while .second is the remaining factor graph
 | |
|     GaussianFactorGraph marginalLinearFactors =
 | |
|         *linearFactorGraph.eliminatePartialMultifrontal(
 | |
|             std::vector<Key>(marginalizeKeys.begin(), marginalizeKeys.end())).second;
 | |
| 
 | |
|     // Wrap in nonlinear container factors
 | |
|     NonlinearFactorGraph marginalFactors;
 | |
|     marginalFactors.reserve(marginalLinearFactors.size());
 | |
|     BOOST_FOREACH(const GaussianFactor::shared_ptr& gaussianFactor, marginalLinearFactors) {
 | |
|       marginalFactors += boost::make_shared<LinearContainerFactor>(
 | |
|           gaussianFactor, theta);
 | |
|       if (debug) {
 | |
|         std::cout
 | |
|             << "BatchFixedLagSmoother::calculateMarginalFactors  Marginal Factor: ";
 | |
|         PrintSymbolicFactor(marginalFactors.back());
 | |
|       }
 | |
|     }
 | |
| 
 | |
|     if (debug)
 | |
|       PrintSymbolicGraph(marginalFactors,
 | |
|           "BatchFixedLagSmoother::calculateMarginalFactors  All Marginal Factors: ");
 | |
| 
 | |
|     if (debug)
 | |
|       std::cout << "BatchFixedLagSmoother::calculateMarginalFactors FINISH"
 | |
|           << std::endl;
 | |
| 
 | |
|     return marginalFactors;
 | |
|   }
 | |
| }
 | |
| 
 | |
| /* ************************************************************************* */
 | |
| } /// namespace gtsam
 |