diff --git a/corelib/include/rtabmap/core/BayesFilter.h b/corelib/include/rtabmap/core/BayesFilter.h index bbf1cde4..a496e455 100644 --- a/corelib/include/rtabmap/core/BayesFilter.h +++ b/corelib/include/rtabmap/core/BayesFilter.h @@ -266,7 +266,8 @@ private: float _totalPredictionLCValues; ///< Sum of all values in _predictionLC. float _predictionEpsilon; ///< Minimum non-zero probability in the model. bool _sparsePrediction; ///< Multiply the prediction sparsely (Bayes/SparsePrediction). - bool _predictionChanged; ///< True when _prediction was rebuilt, so the sparse view is stale. + bool _predictionChanged; ///< True when _prediction was rebuilt, so the sparse form is stale. + bool _sparsePredictionRejected; ///< True when the current prediction was measured as too dense to keep sparse. Eigen::SparseMatrix _sparsePredictionMatrix; ///< The prediction, sparse. Built instead of _prediction over a fixed graph. std::map > _neighborsIndex; ///< Cached neighbor margins per signature id. }; diff --git a/corelib/src/BayesFilter.cpp b/corelib/src/BayesFilter.cpp index c1c08c0d..be9a87cf 100644 --- a/corelib/src/BayesFilter.cpp +++ b/corelib/src/BayesFilter.cpp @@ -52,7 +52,8 @@ BayesFilter::BayesFilter(const ParametersMap & parameters) : _totalPredictionLCValues(0.0f), _predictionEpsilon(0.0f), _sparsePrediction(Parameters::defaultBayesSparsePrediction()), - _predictionChanged(true) + _predictionChanged(true), + _sparsePredictionRejected(false) { this->setPredictionLC(Parameters::defaultBayesPredictionLC()); this->parseParameters(parameters); @@ -75,6 +76,7 @@ void BayesFilter::parseParameters(const ParametersMap & parameters) // The sparse view is rebuilt on the next posterior if it was just enabled, and // released if it was just disabled. _predictionChanged = true; + _sparsePredictionRejected = false; if(!_sparsePrediction) { this->clearSparsePrediction(); @@ -133,6 +135,7 @@ void BayesFilter::setPredictionLC(const std::string & prediction) } // A new model changes the values and the sparsity of the prediction matrix. _predictionChanged = true; + _sparsePredictionRejected = false; } const std::vector & BayesFilter::getPredictionLC() const @@ -181,6 +184,7 @@ void BayesFilter::reset() _prediction = cv::Mat(); this->clearSparsePrediction(); _predictionChanged = true; + _sparsePredictionRejected = false; _neighborsIndex.clear(); } @@ -219,6 +223,9 @@ const std::map & BayesFilter::computePosterior(const Memory * memory // indexed by, taken once: there are as many of them as there are locations in the // working memory, and walking the map to collect them is not free at that size. const std::vector ids = uKeys(likelihood); + // Whether they are the locations of the last iteration, which over a fixed graph they + // always are: the prediction and the posterior are then both kept as they are. + const bool sameIds = this->posteriorHasSameIds(ids); // Recursive Bayes estimation... // STEP 1 - Prediction : Prior*lastPosterior @@ -227,21 +234,32 @@ const std::map & BayesFilter::computePosterior(const Memory * memory // allocated, when the graph is fixed: in localization mode there is no incremental // update of the matrix to carry columns over, so nothing else needs it. While // mapping, the matrix is built as before and the sparse form is taken from it. + if(!sameIds) + { + // The locations changed, so the prediction has to be built again, and whether it + // is worth keeping sparse is a question about the new one. + _predictionChanged = true; + _sparsePredictionRejected = false; + } const bool buildSparseDirectly = _sparsePrediction && + !_sparsePredictionRejected && _totalPredictionLCValues >= 1 && !memory->isIncremental(); bool sparseBuilt = false; if(buildSparseDirectly) { - if(_predictionChanged || _sparsePredictionMatrix.rows() != (int)ids.size() || - !this->posteriorHasSameIds(ids)) + if(_predictionChanged) { sparseBuilt = this->generateSparsePrediction(memory, ids); + // Measured as too dense to be worth it: the matrix is built instead, and not + // measured again until the locations or the model change. Retrying on every + // iteration would cost more than the multiplication it is trying to save. + _sparsePredictionRejected = !sparseBuilt; } else { - sparseBuilt = true; + sparseBuilt = _sparsePredictionMatrix.rows() > 0; } UDEBUG("STEP1-generate prior=%fs, rows=%d, cols=%d", timer.ticks(), (int)_sparsePredictionMatrix.rows(), (int)_sparsePredictionMatrix.cols()); @@ -252,12 +270,30 @@ const std::map & BayesFilter::computePosterior(const Memory * memory UDEBUG("STEP1-generate prior=%fs, rows=%d, cols=%d", timer.ticks(), _prediction.rows, _prediction.cols); //std::cout << "Prediction=" << _prediction << std::endl; - if(_sparsePrediction && _predictionChanged) + // Taking the sparse form from the matrix reads all of the matrix, which is the + // work of one dense multiplication: it pays for itself on the second + // multiplication of a prediction, not on the first. So it is left until the + // prediction is seen to outlast an iteration. A mapping session changes it on + // every location it adds and never pays for a form it would not multiply twice, + // while a session sitting on the same graph pays once and gains on every + // iteration after. + if(_sparsePrediction && !_sparsePredictionRejected && !_prediction.empty()) { - // Only when the matrix has changed: over a fixed graph this happens once. - this->updateSparsePredictionFromDense(); - UDEBUG("STEP1-sparse prediction update time=%fs", timer.ticks()); + if(_predictionChanged) + { + // A prediction of its own: whatever was built for the previous one is stale. + this->clearSparsePrediction(); + } + else if(_sparsePredictionMatrix.rows() != _prediction.rows) + { + // The prediction of the last iteration, so it is being multiplied more than + // once and its sparse form is worth the read. + this->updateSparsePredictionFromDense(); + _sparsePredictionRejected = _sparsePredictionMatrix.rows() == 0; + UDEBUG("STEP1-sparse prediction update time=%fs", timer.ticks()); + } } + _predictionChanged = false; } // Adjust the last posterior if some images were @@ -551,6 +587,55 @@ bool BayesFilter::generateSparsePrediction(const Memory * memory, const std::vec // A value costs 12 bytes as a triplet and 8 in the matrix, against the 4 of the // dense one, so past a quarter filled the sparse form is not worth building. const size_t maxValues = (size_t)size*(size_t)size/4; + + // The neighborhood of a few locations, to know whether the prediction is worth + // keeping sparse before building all of it. A loop closure link costs no margin, so + // on a densely linked graph a column reaches most of the map and there is nothing + // sparse to keep; finding that out by building a quarter of it first would cost more + // than the multiplications it is trying to save. + { + const int samples = size < 64 ? size : 64; + size_t reached = 0; + int sampled = 0; + for(int s=0; s idsLoopMargin; + const std::map neighbors = resolveNeighbors( + memory, ids[i], _predictionLC.size()-1, idToIndexMap, idsLoopMargin, 0); + for(std::map::const_iterator iter=neighbors.begin(); iter!=neighbors.end(); ++iter) + { + if(idToIndexMap.find(iter->first) != idToIndexMap.end()) + { + ++reached; + } + } + ++sampled; + } + if(sampled > 0) + { + const double perColumn = double(reached)/double(sampled); + UDEBUG("Sparse prediction: %.0f values per column over %d locations, estimated " + "from %d of them", perColumn, size, sampled); + if(perColumn*(double)size > (double)maxValues) + { + UWARN("A column of the prediction holds %.0f of the %d locations, estimated " + "from %d of them, which is too dense for %s to be worth it: a value " + "costs 8 bytes kept sparse against the 4 of the matrix. Building the " + "matrix instead. Every loop closure link widens a column, as one " + "costs no depth in the graph search, and so does a longer %s.", + perColumn, size, sampled, + Parameters::kBayesSparsePrediction().c_str(), + Parameters::kBayesPredictionLC().c_str()); + return false; + } + } + } + std::vector column(size, 0.0f); std::vector > triplets; diff --git a/corelib/src/optimizer/OptimizerG2O.cpp b/corelib/src/optimizer/OptimizerG2O.cpp index 716e954d..1eeffecb 100644 --- a/corelib/src/optimizer/OptimizerG2O.cpp +++ b/corelib/src/optimizer/OptimizerG2O.cpp @@ -2242,6 +2242,27 @@ bool OptimizerG2O::loadGraph( std::vector verticesList; std::vector edgesList; + // The type of a link, which saveGraph() appends as a column past the fields the + // format defines: g2o's own loader reads the fields it knows and ignores what + // follows, so the column travels with the file without breaking it. A file written + // by anything else has no such column, and the type stays the one its tag implies. + // This is the only place the type of an edge can come from: the format has no field + // for it, so a loop closure and an odometry link are otherwise the same EDGE_SE2. + const auto readType = [](const std::vector & v, size_t definedSize, Link::Type fallback) + { + if(v.size() > definedSize) + { + const int type = atoi(v[definedSize].c_str()); + if(type >= 0 && type < Link::kEnd) + { + return (Link::Type)type; + } + UWARN("Ignoring link type \"%s\", not one of the %d types.", + v[definedSize].c_str(), (int)Link::kEnd); + } + return fallback; + }; + char line[2048]; while(fgets(line, 2048, file) != NULL) { @@ -2301,7 +2322,7 @@ bool OptimizerG2O::loadGraph( e.definitelyLandmark = true; verticesList.push_back(e); } - else if(tag == "EDGE_SE2" && v.size() == 12) + else if(tag == "EDGE_SE2" && v.size() >= 12) { EdgeEntry e; e.from = atoi(v[1].c_str()); @@ -2314,12 +2335,13 @@ bool OptimizerG2O::loadGraph( e.info.at(1, 1) = uStr2Double(v[9]); e.info.at(1, 5) = e.info.at(5, 1) = uStr2Double(v[10]); e.info.at(5, 5) = uStr2Double(v[11]); - e.type = Link::kUndef; // disambiguated after we know landmarkOffset + // kUndef is disambiguated after we know landmarkOffset + e.type = readType(v, 12, Link::kUndef); e.isPrior = false; e.hasLandmarkEndpoint = false; edgesList.push_back(e); } - else if(tag == "EDGE_SE2_XY" && v.size() == 8) + else if(tag == "EDGE_SE2_XY" && v.size() >= 8) { EdgeEntry e; e.from = atoi(v[1].c_str()); @@ -2329,12 +2351,12 @@ bool OptimizerG2O::loadGraph( e.info.at(0, 0) = uStr2Double(v[5]); e.info.at(0, 1) = e.info.at(1, 0) = uStr2Double(v[6]); e.info.at(1, 1) = uStr2Double(v[7]); - e.type = Link::kLandmark; + e.type = readType(v, 8, Link::kLandmark); e.isPrior = false; e.hasLandmarkEndpoint = true; edgesList.push_back(e); } - else if((tag == "EDGE_SE3:QUAT" || tag == "EDGE_SE3") && v.size() == 31) + else if((tag == "EDGE_SE3:QUAT" || tag == "EDGE_SE3") && v.size() >= 31) { EdgeEntry e; e.from = atoi(v[1].c_str()); @@ -2353,12 +2375,12 @@ bool OptimizerG2O::loadGraph( } // EDGE_SE3 (no :QUAT) is the landmark variant emitted by saveGraph bool landmarkTag = (tag == "EDGE_SE3"); - e.type = landmarkTag ? Link::kLandmark : Link::kUndef; + e.type = readType(v, 31, landmarkTag ? Link::kLandmark : Link::kUndef); e.isPrior = false; e.hasLandmarkEndpoint = landmarkTag; edgesList.push_back(e); } - else if(tag == "EDGE_SE3_TRACKXYZ" && v.size() == 13) + else if(tag == "EDGE_SE3_TRACKXYZ" && v.size() >= 13) { EdgeEntry e; e.from = atoi(v[1].c_str()); @@ -2372,12 +2394,12 @@ bool OptimizerG2O::loadGraph( e.info.at(1, 1) = uStr2Double(v[10]); e.info.at(1, 2) = e.info.at(2, 1) = uStr2Double(v[11]); e.info.at(2, 2) = uStr2Double(v[12]); - e.type = Link::kLandmark; + e.type = readType(v, 13, Link::kLandmark); e.isPrior = false; e.hasLandmarkEndpoint = true; edgesList.push_back(e); } - else if(tag == "EDGE_PRIOR_SE2" && v.size() == 11) + else if(tag == "EDGE_PRIOR_SE2" && v.size() >= 11) { EdgeEntry e; e.from = atoi(v[1].c_str()); @@ -2390,12 +2412,12 @@ bool OptimizerG2O::loadGraph( e.info.at(1, 1) = uStr2Double(v[8]); e.info.at(1, 5) = e.info.at(5, 1) = uStr2Double(v[9]); e.info.at(5, 5) = uStr2Double(v[10]); - e.type = Link::kPosePrior; + e.type = readType(v, 11, Link::kPosePrior); e.isPrior = true; e.hasLandmarkEndpoint = false; edgesList.push_back(e); } - else if(tag == "EDGE_PRIOR_SE2_XY" && v.size() == 7) + else if(tag == "EDGE_PRIOR_SE2_XY" && v.size() >= 7) { EdgeEntry e; e.from = atoi(v[1].c_str()); @@ -2407,12 +2429,12 @@ bool OptimizerG2O::loadGraph( e.info.at(1, 1) = uStr2Double(v[6]); // no orientation info on this prior e.info.at(3, 3) = e.info.at(4, 4) = e.info.at(5, 5) = 1.0 / 9999.0; - e.type = Link::kPosePrior; + e.type = readType(v, 7, Link::kPosePrior); e.isPrior = true; e.hasLandmarkEndpoint = false; edgesList.push_back(e); } - else if(tag == "EDGE_SE3_PRIOR" && v.size() == 31) + else if(tag == "EDGE_SE3_PRIOR" && v.size() >= 31) { EdgeEntry e; e.from = atoi(v[1].c_str()); @@ -2430,12 +2452,12 @@ bool OptimizerG2O::loadGraph( if(r != c) e.info.at(c, r) = e.info.at(r, c); } } - e.type = Link::kPosePrior; + e.type = readType(v, 31, Link::kPosePrior); e.isPrior = true; e.hasLandmarkEndpoint = false; edgesList.push_back(e); } - else if(tag == "EDGE_POINTXYZ_PRIOR" && v.size() == 11) + else if(tag == "EDGE_POINTXYZ_PRIOR" && v.size() >= 11) { EdgeEntry e; e.from = atoi(v[1].c_str()); @@ -2450,12 +2472,12 @@ bool OptimizerG2O::loadGraph( e.info.at(2, 2) = uStr2Double(v[10]); // no orientation info on this prior e.info.at(3, 3) = e.info.at(4, 4) = e.info.at(5, 5) = 1.0 / 9999.0; - e.type = Link::kPosePrior; + e.type = readType(v, 11, Link::kPosePrior); e.isPrior = true; e.hasLandmarkEndpoint = false; edgesList.push_back(e); } - else if(tag == "EDGE_SE2_SWITCHABLE" && v.size() == 13) + else if(tag == "EDGE_SE2_SWITCHABLE" && v.size() >= 13) { EdgeEntry e; e.from = atoi(v[1].c_str()); @@ -2469,12 +2491,12 @@ bool OptimizerG2O::loadGraph( e.info.at(1, 1) = uStr2Double(v[10]); e.info.at(1, 5) = e.info.at(5, 1) = uStr2Double(v[11]); e.info.at(5, 5) = uStr2Double(v[12]); - e.type = Link::kUndef; + e.type = readType(v, 13, Link::kUndef); e.isPrior = false; e.hasLandmarkEndpoint = false; edgesList.push_back(e); } - else if(tag == "EDGE_SE3_SWITCHABLE" && v.size() == 32) + else if(tag == "EDGE_SE3_SWITCHABLE" && v.size() >= 32) { EdgeEntry e; e.from = atoi(v[1].c_str()); @@ -2492,7 +2514,7 @@ bool OptimizerG2O::loadGraph( if(r != c) e.info.at(c, r) = e.info.at(r, c); } } - e.type = Link::kUndef; + e.type = readType(v, 32, Link::kUndef); e.isPrior = false; e.hasLandmarkEndpoint = false; edgesList.push_back(e); @@ -2743,8 +2765,35 @@ bool OptimizerG2O::saveGraph( } int virtualVertexId = landmarkOffset - (poses.size()&&poses.rbegin()->first<0?poses.rbegin()->first:0); + + // A link is stored on both of the nodes it connects, so a caller iterating them + // hands us each one twice, once per direction. g2o has no notion of a reverse + // edge: it would read the two lines as two independent constraints and count the + // information of every link twice. Only the first direction of a pair is written, + // which is also half the file. Links on a single node (a prior, gravity) are not + // pairs and are left alone. + std::set > writtenPairs; + for(std::multimap::const_iterator iter = edgeConstraints.begin(); iter!=edgeConstraints.end(); ++iter) { + if(iter->second.from() != iter->second.to()) + { + const std::pair pair( + std::min(iter->second.from(), iter->second.to()), + std::max(iter->second.from(), iter->second.to())); + if(!writtenPairs.insert(pair).second) + { + continue; + } + } + + // The type of the link, as a column past the fields the format defines. g2o's + // own loader reads the fields it knows and ignores what follows, so this + // travels with the file without breaking it, and loadGraph() reads it back. + // Without it the type is lost on export, and the type is what tells a loop + // closure from an odometry link. + const std::string typeSuffix = uFormat(" %d", (int)iter->second.type()); + if (iter->second.type() == Link::kLandmark) { if (this->landmarksIgnored()) @@ -2760,7 +2809,7 @@ bool OptimizerG2O::saveGraph( if(uValue(isLandmarkWithRotation, landmarkId, false)) { // EDGE_SE2 observed_vertex_id observing_vertex_id x y qx qy qz qw inf_11 inf_12 inf_13 inf_22 inf_23 inf_33 - fprintf(file, "EDGE_SE2 %d %d %f %f %f %f %f %f %f %f %f\n", + fprintf(file, "EDGE_SE2 %d %d %f %f %f %f %f %f %f %f %f%s\n", iter->second.from()<0?landmarkOffset-iter->second.from():iter->second.from(), iter->second.to()<0?landmarkOffset-iter->second.to():iter->second.to(), iter->second.transform().x(), @@ -2771,19 +2820,21 @@ bool OptimizerG2O::saveGraph( iter->second.infMatrix().at(0, 5), iter->second.infMatrix().at(1, 1), iter->second.infMatrix().at(1, 5), - iter->second.infMatrix().at(5, 5)); + iter->second.infMatrix().at(5, 5), + typeSuffix.c_str()); } else { // EDGE_SE2_XY observed_vertex_id observing_vertex_id x y inf_11 inf_12 inf_22 - fprintf(file, "EDGE_SE2_XY %d %d %f %f %f %f %f\n", + fprintf(file, "EDGE_SE2_XY %d %d %f %f %f %f %f%s\n", iter->second.from()<0?landmarkOffset-iter->second.from():iter->second.from(), iter->second.to()<0?landmarkOffset-iter->second.to():iter->second.to(), iter->second.transform().x(), iter->second.transform().y(), iter->second.infMatrix().at(0, 0), iter->second.infMatrix().at(0, 1), - iter->second.infMatrix().at(1, 1)); + iter->second.infMatrix().at(1, 1), + typeSuffix.c_str()); } } else @@ -2792,7 +2843,7 @@ bool OptimizerG2O::saveGraph( { // EDGE_SE3 observed_vertex_id observing_vertex_id x y z qx qy qz qw inf_11 inf_12 .. inf_16 inf_22 .. inf_66 Eigen::Quaternionf q = iter->second.transform().getQuaternionf(); - fprintf(file, "EDGE_SE3 %d %d %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f\n", + fprintf(file, "EDGE_SE3 %d %d %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f%s\n", iter->second.from()<0?landmarkOffset-iter->second.from():iter->second.from(), iter->second.to()<0?landmarkOffset-iter->second.to():iter->second.to(), iter->second.transform().x(), @@ -2822,12 +2873,13 @@ bool OptimizerG2O::saveGraph( iter->second.infMatrix().at(3, 5), iter->second.infMatrix().at(4, 4), iter->second.infMatrix().at(4, 5), - iter->second.infMatrix().at(5, 5)); + iter->second.infMatrix().at(5, 5), + typeSuffix.c_str()); } else { // EDGE_SE3_TRACKXYZ observed_vertex_id observing_vertex_id param_offset x y z inf_11 inf_12 inf_13 inf_22 inf_23 inf_33 - fprintf(file, "EDGE_SE3_TRACKXYZ %d %d %d %f %f %f %f %f %f %f %f %f\n", + fprintf(file, "EDGE_SE3_TRACKXYZ %d %d %d %f %f %f %f %f %f %f %f %f%s\n", iter->second.from()<0?landmarkOffset-iter->second.from():iter->second.from(), iter->second.to()<0?landmarkOffset-iter->second.to():iter->second.to(), PARAM_OFFSET, @@ -2839,7 +2891,8 @@ bool OptimizerG2O::saveGraph( iter->second.infMatrix().at(0, 2), iter->second.infMatrix().at(1, 1), iter->second.infMatrix().at(1, 2), - iter->second.infMatrix().at(2, 2)); + iter->second.infMatrix().at(2, 2), + typeSuffix.c_str()); } } continue; @@ -2911,7 +2964,7 @@ bool OptimizerG2O::saveGraph( { // EDGE_SE2 observed_vertex_id observing_vertex_id x y qx qy qz qw inf_11 inf_12 inf_13 inf_22 inf_23 inf_33 // EDGE_SE2_PRIOR observed_vertex_id x y qx qy qz qw inf_11 inf_12 inf_13 inf_22 inf_23 inf_33 - fprintf(file, "%s %d%s%s %f %f %f %f %f %f %f %f %f\n", + fprintf(file, "%s %d%s%s %f %f %f %f %f %f %f %f %f%s\n", prefix.c_str(), iter->second.from(), to.c_str(), @@ -2924,13 +2977,14 @@ bool OptimizerG2O::saveGraph( iter->second.infMatrix().at(0, 5), iter->second.infMatrix().at(1, 1), iter->second.infMatrix().at(1, 5), - iter->second.infMatrix().at(5, 5)); + iter->second.infMatrix().at(5, 5), + typeSuffix.c_str()); } else { // EDGE_XY observed_vertex_id observing_vertex_id x y inf_11 inf_12 inf_22 // EDGE_POINTXY_PRIOR x y inf_11 inf_12 inf_22 - fprintf(file, "%s %d%s%s %f %f %f %f %f\n", + fprintf(file, "%s %d%s%s %f %f %f %f %f%s\n", prefix.c_str(), iter->second.from(), to.c_str(), @@ -2939,7 +2993,8 @@ bool OptimizerG2O::saveGraph( iter->second.transform().y(), iter->second.infMatrix().at(0, 0), iter->second.infMatrix().at(0, 1), - iter->second.infMatrix().at(1, 1)); + iter->second.infMatrix().at(1, 1), + typeSuffix.c_str()); } } else @@ -2949,7 +3004,7 @@ bool OptimizerG2O::saveGraph( // EDGE_SE3 observed_vertex_id observing_vertex_id x y z qx qy qz qw inf_11 inf_12 .. inf_16 inf_22 .. inf_66 // EDGE_SE3_PRIOR observed_vertex_id offset_parameter_id x y z qx qy qz qw inf_11 inf_12 .. inf_16 inf_22 .. inf_66 Eigen::Quaternionf q = iter->second.transform().getQuaternionf(); - fprintf(file, "%s %d%s%s %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f\n", + fprintf(file, "%s %d%s%s %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f %f%s\n", prefix.c_str(), iter->second.from(), to.c_str(), @@ -2981,13 +3036,14 @@ bool OptimizerG2O::saveGraph( iter->second.infMatrix().at(3, 5), iter->second.infMatrix().at(4, 4), iter->second.infMatrix().at(4, 5), - iter->second.infMatrix().at(5, 5)); + iter->second.infMatrix().at(5, 5), + typeSuffix.c_str()); } else { // EDGE_XYZ observed_vertex_id observing_vertex_id x y z qx qy qz qw inf_11 inf_12 .. inf_13 inf_22 .. inf_33 // EDGE_POINTXYZ_PRIOR observed_vertex_id x y z inf_11 inf_12 .. inf_13 inf_22 .. inf_33 - fprintf(file, "%s %d%s%s %f %f %f %f %f %f %f %f %f\n", + fprintf(file, "%s %d%s%s %f %f %f %f %f %f %f %f %f%s\n", prefix.c_str(), iter->second.from(), to.c_str(), @@ -3000,7 +3056,8 @@ bool OptimizerG2O::saveGraph( iter->second.infMatrix().at(0, 2), iter->second.infMatrix().at(1, 1), iter->second.infMatrix().at(1, 2), - iter->second.infMatrix().at(2, 2)); + iter->second.infMatrix().at(2, 2), + typeSuffix.c_str()); } } } diff --git a/corelib/test/CMakeLists.txt b/corelib/test/CMakeLists.txt index da1c8d2f..318441dd 100644 --- a/corelib/test/CMakeLists.txt +++ b/corelib/test/CMakeLists.txt @@ -122,11 +122,13 @@ IF(BUILD_PERF_TESTS) # Comparison of the dense and the sparse prediction x posterior multiplication of # BayesFilter (Bayes/SparsePrediction), against the size of the map, how connected - # its graph is and the depth of the prediction model: + # its graph is and the depth of the prediction model. Over synthetic graphs, and over + # the graph of a real map read from data/tests/large_reduced_graph.g2o, whose link + # types decide how much of the map a column of the prediction holds: # bin/test_bayesfilter_perf - # bin/test_bayesfilter_perf --gtest_filter=-*LargeMap* + # bin/test_bayesfilter_perf --gtest_filter=-*LargeMap*:-*RealMap* # Its own executable: it spends its time benchmarking rather than asserting, and the - # largest map it builds allocates a gigabyte for the dense prediction matrix, + # largest maps it builds allocate a gigabyte for the dense prediction matrix, # which in a unit test shard would look like a leak. add_executable(test_bayesfilter_perf perf_bayesfilter.cpp) target_link_libraries(test_bayesfilter_perf gtest_main rtabmap_core) diff --git a/corelib/test/perf_bayesfilter.cpp b/corelib/test/perf_bayesfilter.cpp index ab1a1d62..271276ff 100644 --- a/corelib/test/perf_bayesfilter.cpp +++ b/corelib/test/perf_bayesfilter.cpp @@ -13,12 +13,15 @@ // the numbers below compare two ways of computing the same thing. #include #include +#include #include #include +#include #include #include #include #include +#include #include #include #include @@ -150,6 +153,195 @@ private: double buildTime_ = 0.0; }; +// A real map's graph, read from the g2o file it was exported to. What makes it worth +// measuring against the synthetic graphs above is its link types: the file holds mostly +// merged neighbor links, which cost a margin like an ordinary neighbor, and only a few +// hundred closures that Memory::getNeighborsId() follows without spending one. How many +// of those there are is what decides how much of the map a column of the prediction +// holds, so a real graph's answer is not a synthetic one's. +// +// The graph is rebuilt in a Memory rather than optimized: Memory::update() creates a +// signature per pose and links each to the previous one, so the links the file does not +// have are removed and the ones it has are added with their own type. +// A real map's graph, read from the g2o file it was exported to. What makes it worth +// measuring against the synthetic graphs above is its link types: how many links +// Memory::getNeighborsId() follows without spending a margin is what decides how much of +// the map a column of the prediction holds, and a real graph's answer is not a synthetic +// one's. A graph that went through the reduction holds mostly merged neighbor links, +// which cost a margin like an ordinary neighbor; one that did not holds none. +struct RealGraph +{ + std::vector ids; // the locations, in the order they were created + std::map poses; + // The links between two locations, as indices into ids, each on the later of the two: + // that is the one a mapping session adds them on. + std::vector > > linksTo; + std::map byType; + int skippedLinks = 0; + double loadTime = 0.0; +}; + +bool loadRealGraph(const std::string & path, RealGraph & graph) +{ + UTimer timer; + std::map poses; + std::multimap links; + if(!graph::importPoses(path, 4 /*g2o*/, poses, &links)) + { + return false; + } + graph.loadTime = timer.ticks(); + graph.poses = poses; + + for(std::map::const_iterator iter=poses.begin(); iter!=poses.end(); ++iter) + { + if(iter->first > 0) + { + graph.ids.push_back(iter->first); + } + } + std::sort(graph.ids.begin(), graph.ids.end()); + std::map indexOf; + for(size_t i=0; i > seen; + for(std::multimap::const_iterator iter=links.begin(); iter!=links.end(); ++iter) + { + const Link & link = iter->second; + if(link.from() == link.to() || link.from() < 0 || link.to() < 0) + { + ++graph.skippedLinks; + continue; + } + const size_t a = indexOf.at(link.from()), b = indexOf.at(link.to()); + if(!seen.insert(std::make_pair(std::min(a,b), std::max(a,b))).second) + { + continue; + } + graph.linksTo[std::max(a,b)].push_back(std::make_pair(std::min(a,b), link.type())); + ++graph.byType[link.type()]; + } + return true; +} + +// Adds one location and the links the graph has between it and the ones already there. +// Memory::update() links each new signature to the previous one as a kNeighbor, so that +// one is dropped when the graph does not have it, or has it with another type. +void addRealNode( + Memory * memory, + const RealGraph & graph, + size_t index, + std::vector & newIds, + int * removedLinks = 0) +{ + static const cv::Mat image(8, 8, CV_8UC1, cv::Scalar(128)); + static const cv::Mat covariance = cv::Mat::eye(6, 6, CV_64FC1) * 0.0001; + static const cv::Mat information = cv::Mat::eye(6, 6, CV_64FC1); + + SensorData data(image); + UASSERT(memory->update(data, graph.poses.at(graph.ids[index]), covariance)); + newIds.push_back(memory->getLastSignatureId()); + + bool previousLinked = false; + for(size_t i=0; iaddLink(Link(newIds[index], newIds[other], type, + Transform::getIdentity(), information)); + } + if(index > 0 && !previousLinked) + { + // Either the graph has no link between these two, or it has one of another type + // which the loop above has just added. + memory->removeLink(newIds[index-1], newIds[index]); + if(removedLinks) + { + ++(*removedLinks); + } + } +} + +Memory * newRealMemory() +{ + ParametersMap params; + params.insert(ParametersPair(Parameters::kKpMaxFeatures(), "-1")); + params.insert(ParametersPair(Parameters::kMemSTMSize(), "1")); + params.insert(ParametersPair(Parameters::kMemRehearsalSimilarity(), "1.0")); + params.insert(ParametersPair(Parameters::kMemBinDataKept(), "false")); + return new Memory(params); +} + +// What Rtabmap passes to the filter: the virtual place followed by the locations of the +// working memory that are not in the short term memory. +std::vector bayesIdsOf(const Memory * memory) +{ + std::vector ids; + ids.push_back(Memory::kIdVirtual); + const std::set & stm = memory->getStMem(); + for(std::map::const_iterator iter=memory->getWorkingMem().begin(); + iter!=memory->getWorkingMem().end(); + ++iter) + { + if(iter->first > 0 && stm.find(iter->first) == stm.end()) + { + ids.push_back(iter->first); + } + } + return ids; +} + +std::map uniformLikelihoodOf(const std::vector & ids) +{ + std::map likelihood; + for(size_t i=0; i::const_iterator iter=graph.byType.begin(); iter!=graph.byType.end(); ++iter) + { + std::cout << " " << linkTypeName(iter->first) << "=" << iter->second; + } + std::cout << " (" << graph.skippedLinks << " on a single location or on a landmark not rebuilt, " + << removedLinks << " gaps in the chain)" << std::endl; +} struct Result { double firstIteration = 0.0; // includes generating the prediction, sparse or dense @@ -158,19 +350,21 @@ struct Result std::map posterior; }; -Result run(const SyntheticMap & map, const char * predictionLC, bool sparse, int iterations) +Result run(const Memory * memory, + const std::vector & ids, + const std::map & likelihood, + const char * predictionLC, + bool sparse, + int iterations) { ParametersMap params; params.insert(ParametersPair(Parameters::kBayesPredictionLC(), predictionLC)); params.insert(ParametersPair(Parameters::kBayesSparsePrediction(), sparse?"true":"false")); BayesFilter filter(params); - const std::vector ids = map.bayesIds(); - const std::map likelihood = map.uniformLikelihood(ids); - Result result; UTimer timer; - filter.computePosterior(map.memory(), likelihood); + filter.computePosterior(memory, likelihood); result.firstIteration = timer.ticks(); // A few untimed iterations to let the caches and the processor clock settle before @@ -180,7 +374,7 @@ Result run(const SyntheticMap & map, const char * predictionLC, bool sparse, int // the slow one and leave the two posteriors nowhere near each other. for(int i=0; i<3; ++i) { - filter.computePosterior(map.memory(), likelihood); + filter.computePosterior(memory, likelihood); } // The fastest iteration rather than the mean or the median of them. Everything that @@ -193,7 +387,7 @@ Result run(const SyntheticMap & map, const char * predictionLC, bool sparse, int for(int i=1; i & ids, + const std::map & likelihood, + const char * predictionLC, + int iterations, + bool sparseFirst = false) { - const size_t size = map.bayesIds().size(); - const Result dense = run(map, predictionLC, false, iterations); - const Result sparse = run(map, predictionLC, true, iterations); + const size_t size = ids.size(); + Result dense, sparse; + if(sparseFirst) + { + sparse = run(memory, ids, likelihood, predictionLC, true, iterations); + dense = run(memory, ids, likelihood, predictionLC, false, iterations); + } + else + { + dense = run(memory, ids, likelihood, predictionLC, false, iterations); + sparse = run(memory, ids, likelihood, predictionLC, true, iterations); + } report("dense", dense); report("sparse", sparse); @@ -285,7 +498,8 @@ TEST(BayesFilterPerfTest, DenseVsSparsePredictionOnGrowingMaps) << map.loopClosures() << " loop closures, graph built in " << map.buildTime() << "s, dense matrix = " << (size*size*sizeof(float))/1048576 << " MB" << std::endl; - compare(map, PREDICTION_DEFAULT, iterations); + const std::vector ids = map.bayesIds(); + compare(map.memory(), ids, map.uniformLikelihood(ids), PREDICTION_DEFAULT, iterations); } } @@ -313,10 +527,12 @@ TEST(BayesFilterPerfTest, SparsityAgainstGraphConnectivityAndModelDepth) std::cout << "[ ] " << nodes << " nodes, " << connectivities[c].name << " (" << map.loopClosures() << " loop closures)" << std::endl; + const std::vector ids = map.bayesIds(); + const std::map likelihood = map.uniformLikelihood(ids); std::cout << "[ ] 18 values model (default, depth 17):" << std::endl; - compare(map, PREDICTION_DEFAULT, iterations); + compare(map.memory(), ids, likelihood, PREDICTION_DEFAULT, iterations); std::cout << "[ ] 8 values model (depth 7, every value above 1e-4):" << std::endl; - compare(map, PREDICTION_TRUNCATED, iterations); + compare(map.memory(), ids, likelihood, PREDICTION_TRUNCATED, iterations); } } @@ -339,15 +555,20 @@ TEST(BayesFilterPerfTest, DenseVsSparsePredictionOnALargeMap) << map.loopClosures() << " loop closures, graph built in " << map.buildTime() << "s, dense matrix = " << (size*size*sizeof(float))/1048576 << " MB" << std::endl; + const std::vector ids = map.bayesIds(); + const std::map likelihood = map.uniformLikelihood(ids); std::cout << "[ ] 18 values model (default, depth 17):" << std::endl; - compare(map, PREDICTION_DEFAULT, iterations); + compare(map.memory(), ids, likelihood, PREDICTION_DEFAULT, iterations); std::cout << "[ ] 8 values model (depth 7, every value above 1e-4):" << std::endl; - compare(map, PREDICTION_TRUNCATED, iterations); + compare(map.memory(), ids, likelihood, PREDICTION_TRUNCATED, iterations); } -// While mapping, the graph changes on every node, so the matrix is kept for -// updatePrediction() to carry its unchanged columns over and the sparse prediction is -// taken from it rather than built instead of it. Same multiplication, no memory saved. +// Mapping mode, over a graph that has stopped growing: the matrix is kept, because +// updatePrediction() needs it to carry its unchanged columns over whenever the graph does +// grow, and the sparse form is taken from it rather than built instead of it. It is worth +// taking here because the prediction outlasts an iteration, which is what +// DenseVsSparsePredictionWhileMappingARealSession does not have: there a location is added +// on every iteration and the sparse form is never built at all. TEST(BayesFilterPerfTest, DenseVsSparsePredictionWhileMapping) { const int nodes = 4000; @@ -359,5 +580,143 @@ TEST(BayesFilterPerfTest, DenseVsSparsePredictionWhileMapping) << map.loopClosures() << " loop closures, dense matrix = " << (size*size*sizeof(float))/1048576 << " MB" << std::endl; - compare(map, PREDICTION_DEFAULT, iterations); + const std::vector ids = map.bayesIds(); + compare(map.memory(), ids, map.uniformLikelihood(ids), PREDICTION_DEFAULT, iterations); +} + +// The graphs of real maps, against the synthetic ones above, in localization mode where +// the graph is fixed. Two of them: one that went through the graph reduction, whose merged +// neighbor links cost a margin like ordinary neighbors, and one that did not. +// +// Needs the same ~1 GB as the largest synthetic map for the dense prediction, and reads +// the graphs from data/tests. Exclude with +// bin/test_bayesfilter_perf --gtest_filter=-*RealMap* +TEST(BayesFilterPerfTest, DenseVsSparsePredictionOnRealMaps) +{ + const int iterations = 10; + if(!Optimizer::isAvailable(Optimizer::kTypeG2O)) + { + GTEST_SKIP() << "g2o optimizer not built in, needed to read the graphs"; + } + + const char * files[] = {"large_reduced_graph.g2o", "large_mapping_session.g2o"}; + const char * labels[] = {"graph reduction applied", "no graph reduction"}; + for(size_t f=0; f newIds; + int removedLinks = 0; + UTimer timer; + for(size_t i=0; iparseParameters(localization); + ASSERT_FALSE(memory->isIncremental()); + + const std::vector ids = bayesIdsOf(memory); + std::cout << "[ ] " << files[f] << " (" << labels[f] << ")" << std::endl; + printGraph(path, graph, removedLinks); + std::cout << "[ ] rebuilt in " << buildTime << "s, " << ids.size() + << " locations (with the virtual place), dense matrix = " + << (ids.size()*ids.size()*sizeof(float))/1048576 << " MB" << std::endl; + + const std::map likelihood = uniformLikelihoodOf(ids); + std::cout << "[ ] 18 values model (default, depth 17):" << std::endl; + compare(memory, ids, likelihood, PREDICTION_DEFAULT, iterations, /*sparseFirst=*/true); + std::cout << "[ ] 8 values model (depth 7, every value above 1e-4):" << std::endl; + compare(memory, ids, likelihood, PREDICTION_TRUNCATED, iterations, /*sparseFirst=*/true); + delete memory; + } +} + +// A mapping session as it runs: a location added, then an iteration of the filter, over and +// over. Every added location changes the prediction, so this is the case the sparse form +// cannot amortize -- unlike localization, where it is built once and reused for the rest of +// the session. What it costs to keep it up to date against what its multiplication saves is +// what this measures. +// +// The session is replayed from its end: the locations before the window are added without +// running the filter, so the per-location cost is measured at the size the map really +// reaches rather than at the sizes it passes through. +TEST(BayesFilterPerfTest, DenseVsSparsePredictionWhileMappingARealSession) +{ + const size_t window = 15; // locations added one at a time, with an iteration each + if(!Optimizer::isAvailable(Optimizer::kTypeG2O)) + { + GTEST_SKIP() << "g2o optimizer not built in, needed to read the graph"; + } + const std::string path = std::string(RTABMAP_TEST_DATA_ROOT) + "/tests/large_mapping_session.g2o"; + if(!UFile::exists(path)) + { + GTEST_SKIP() << path << " not found"; + } + + RealGraph graph; + ASSERT_TRUE(loadRealGraph(path, graph)) << "could not read " << path; + ASSERT_GT(graph.ids.size(), window); + const size_t prepared = graph.ids.size() - window; + + std::cout << "[ ] large_mapping_session.g2o, mapping mode: " << prepared + << " locations already mapped, " << window + << " more added one at a time with an iteration of the filter each" << std::endl; + + std::map lastPosterior[2]; + for(int sparse=1; sparse>=0; --sparse) // the sparse mode first, see compare() + { + Memory * memory = newRealMemory(); + std::vector newIds; + int removedLinks = 0; + for(size_t i=0; i ids = bayesIdsOf(memory); + UTimer timer; + filter.computePosterior(memory, uniformLikelihoodOf(ids)); + const double first = timer.ticks(); + + double total = 0.0, best = 0.0, worst = 0.0; + for(size_t i=prepared; i worst) worst = elapsed; + } + lastPosterior[sparse] = filter.getPosterior(); + + printf("[ ] %-6s first iteration %8.1f ms, then per added location: " + "fastest %8.1f ms, mean %8.1f ms, slowest %8.1f ms, filter memory %7.1f MB\n", + sparse?"sparse":"dense", first*1000.0, best*1000.0, total*1000.0/double(window), + worst*1000.0, filter.getMemoryUsed()/1048576.0); + delete memory; + } + + EXPECT_LT(maxPosteriorDifference(lastPosterior[0], lastPosterior[1]), 1e-3); } diff --git a/corelib/test/test_bayesfilter.cpp b/corelib/test/test_bayesfilter.cpp index 92020e73..fe2f6c42 100644 --- a/corelib/test/test_bayesfilter.cpp +++ b/corelib/test/test_bayesfilter.cpp @@ -1078,8 +1078,11 @@ TEST_F(BayesFilterMemoryFixture, SparsePredictionFallsBackWhenModelSumsBelowOne) EXPECT_EQ(filterDense.getMemoryUsed(), filterSparse.getMemoryUsed()); } -// The sparse view holds only the non-zero values of the prediction matrix, so it is a -// fraction of its size, and the reported memory reflects that it is an addition to it. +// While the prediction matrix is being kept (mapping mode), its sparse form is only taken +// from it once the prediction outlasts an iteration: reading the whole matrix to build the +// form costs the work of one multiplication, so on a prediction that is multiplied once it +// would never be repaid. The sparse form then holds only the non-zero values, so it is a +// fraction of the matrix, and the reported memory reflects that it is an addition to it. TEST_F(BayesFilterMemoryFixture, SparsePredictionMemoryUsed) { addChain(40); @@ -1097,6 +1100,14 @@ TEST_F(BayesFilterMemoryFixture, SparsePredictionMemoryUsed) filterDense.computePosterior(memory_, likelihood); filterSparse.computePosterior(memory_, likelihood); + // The first iteration built the matrix, and nothing else: as far as this iteration + // knows, the prediction is about to be replaced by the next one. + EXPECT_EQ(filterDense.getMemoryUsed(), filterSparse.getMemoryUsed()); + + // The second finds the same prediction, so its sparse form is worth building. + filterDense.computePosterior(memory_, likelihood); + filterSparse.computePosterior(memory_, likelihood); + const unsigned long dense = filterDense.getMemoryUsed(); const unsigned long sparse = filterSparse.getMemoryUsed(); EXPECT_GT(sparse, dense); diff --git a/corelib/test/test_graph.cpp b/corelib/test/test_graph.cpp index 48f48f85..bf021069 100644 --- a/corelib/test/test_graph.cpp +++ b/corelib/test/test_graph.cpp @@ -8,6 +8,8 @@ #include #include #include +#include +#include using namespace rtabmap; @@ -922,10 +924,10 @@ void expectLinksNearEqual( const auto idxB = index(b); ASSERT_EQ(idxA.size(), idxB.size()) << label << " unique (from,to) link pair count differs"; - // Note: graph file formats (TORO / g2o) store edges generically and - // don't preserve rtabmap's Link::Type tag, so we only round-trip - // from / to / transform / infMatrix here. The loader assigns a - // placeholder type for ordinary edges. + // Note: TORO's text format stores edges generically and doesn't preserve + // rtabmap's Link::Type tag, so from / to / transform / infMatrix are all + // that round-trip there. g2o carries the type in a column of its own, + // which G2oRoundTripPreservesLinkTypes below checks. // // Landmark links in g2o are written as EDGE_SE3_TRACKXYZ (3D point // observation): only the translation and the 3x3 translation block @@ -1260,3 +1262,135 @@ INSTANTIATE_TEST_SUITE_P( + "_" + (std::get<2>(info.param) ? "rotPrior" : "posPrior"); }); + +// ------------------------------------------------------------------------- +// The type of a link (a loop closure against an odometry link, and which kind +// of loop closure) decides how the graph is traversed: Memory::getNeighborsId() +// follows a global closure without spending any depth, skips a proximity one +// and spends a depth on a neighbor. The g2o format defines no field for it, so +// OptimizerG2O writes it as a column past the ones it defines, which its own +// loader reads back and g2o's ignores. +// +// Also checks that a link handed over in both directions, which is how Memory +// stores it, is written once: g2o reads two lines as two constraints and would +// count the information of the link twice. +// ------------------------------------------------------------------------- +TEST(GraphG2oTest, G2oRoundTripPreservesLinkTypes) +{ + if(!Optimizer::isAvailable(Optimizer::kTypeG2O)) + { + GTEST_SKIP() << "g2o optimizer not built in"; + } + + const Link::Type types[] = { + Link::kNeighbor, + Link::kNeighborMerged, + Link::kGlobalClosure, + Link::kLocalSpaceClosure, + Link::kLocalTimeClosure, + Link::kUserClosure, + }; + const size_t typeCount = sizeof(types)/sizeof(Link::Type); + + std::map poses; + for(size_t i=0; i<=typeCount; ++i) + { + poses.insert(std::make_pair((int)i+1, Transform((float)i, 0.0f, 0.0f, 0, 0, 0))); + } + + const cv::Mat infMatrix = cv::Mat::eye(6, 6, CV_64F) * 100.0; + std::multimap links; + for(size_t i=0; i, int> written; + while(std::getline(file, line)) + { + if(line.compare(0, 5, "EDGE_") != 0) + { + continue; + } + std::istringstream in(line); + std::string tag; + int from = 0, to = 0; + in >> tag >> from >> to; + std::string last; + while(in >> last) {} + const std::pair pair(std::min(from,to), std::max(from,to)); + EXPECT_TRUE(written.insert(std::make_pair(pair, atoi(last.c_str()))).second) + << "link " << from << "->" << to << " written more than once"; + } + ASSERT_EQ(written.size(), typeCount); + for(size_t i=0; i" << i+2; + } + + // And read back as the types they were. + std::map posesOut; + std::multimap linksOut; + ASSERT_TRUE(graph::importPoses(path, 4 /*g2o*/, posesOut, &linksOut)); + ASSERT_EQ(linksOut.size(), typeCount); + std::map, Link::Type> loaded; + for(std::multimap::const_iterator iter=linksOut.begin(); iter!=linksOut.end(); ++iter) + { + loaded.insert(std::make_pair( + std::make_pair(std::min(iter->second.from(), iter->second.to()), + std::max(iter->second.from(), iter->second.to())), + iter->second.type())); + } + for(size_t i=0; i pair((int)i+1, (int)i+2); + ASSERT_TRUE(loaded.find(pair) != loaded.end()) << "link " << i+1 << "->" << i+2 << " missing"; + EXPECT_EQ(loaded.at(pair), types[i]) << "type of link " << i+1 << "->" << i+2; + } + UFile::erase(path); +} + +// A file without the type column, which is every file g2o itself writes and +// every one rtabmap wrote before, still loads: the type stays the one its tag +// implies, as it did. +TEST(GraphG2oTest, G2oWithoutTypeColumnStillLoads) +{ + if(!Optimizer::isAvailable(Optimizer::kTypeG2O)) + { + GTEST_SKIP() << "g2o optimizer not built in"; + } + + const std::string path = test::tempPath( + uFormat("rtabmap_graph_no_type_column_%d.g2o", test::getPid())); + UFile::erase(path); + { + std::ofstream file(path.c_str()); + file << "VERTEX_SE2 1 0 0 0\n"; + file << "VERTEX_SE2 2 1 0 0\n"; + file << "EDGE_SE2 1 2 1 0 0 100 0 0 100 0 100\n"; + } + + std::map poses; + std::multimap links; + ASSERT_TRUE(graph::importPoses(path, 4 /*g2o*/, poses, &links)); + EXPECT_EQ(poses.size(), 2u); + ASSERT_EQ(links.size(), 1u); + EXPECT_EQ(links.begin()->second.from(), 1); + EXPECT_EQ(links.begin()->second.to(), 2); + UFile::erase(path); +} diff --git a/data/tests/large_mapping_session.g2o b/data/tests/large_mapping_session.g2o new file mode 100644 index 00000000..cef1a25e --- /dev/null +++ b/data/tests/large_mapping_session.g2o @@ -0,0 +1,20982 @@ +PARAMS_SE2OFFSET 0 0 0 0 +VERTEX_SE2 1 0.002570 0.003521 0.101429 +VERTEX_SE2 5 -0.001669 0.110305 0.069367 +VERTEX_SE2 96 0.153488 -0.005809 -0.262351 +VERTEX_SE2 97 0.314408 -0.213763 -0.669335 +VERTEX_SE2 98 0.437836 -0.576033 -1.086725 +VERTEX_SE2 99 0.505457 -1.141897 -1.422914 +VERTEX_SE2 100 0.507326 -1.880909 -1.542047 +VERTEX_SE2 101 0.502999 -2.691030 -1.599157 +VERTEX_SE2 102 0.472154 -3.541102 -1.613919 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0.000000 25.519179 0.000000 144.629967 1 +EDGE_SE2 1900 4825 1.523683 -1.295790 3.024731 8.804959 0.000000 0.000000 8.804959 0.000000 95.591726 2 +EDGE_SE2 1901 1902 0.732666 0.044323 -0.214231 45.262249 0.000000 0.000000 45.262249 0.000000 1041.686851 0 +EDGE_SE2 1901 3552 0.265255 1.506561 1.732563 101.554353 0.000000 0.000000 101.554353 0.000000 176.077306 1 +EDGE_SE2 1901 4826 0.217218 -1.035900 -3.042458 13.423716 0.000000 0.000000 13.423716 0.000000 90.495945 2 +EDGE_SE2 1902 1903 0.779697 0.098473 -0.166754 38.642659 0.000000 0.000000 38.642659 0.000000 1298.310760 0 +EDGE_SE2 1903 1904 0.870190 0.105755 -0.084012 24.509622 0.000000 0.000000 24.509622 0.000000 1044.957399 0 +EDGE_SE2 1904 1905 0.878590 0.061989 -0.030150 32.628437 0.000000 0.000000 32.628437 0.000000 896.541026 0 +EDGE_SE2 1904 4775 0.425691 0.991039 -1.869985 1.900983 0.000000 0.000000 1.900983 0.000000 92.028029 2 +EDGE_SE2 1904 4788 0.155635 0.650502 -2.008662 4.354816 0.000000 0.000000 4.354816 0.000000 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0.943295 -0.557584 -0.779238 2.477048 0.000000 0.000000 2.477048 0.000000 166.007266 1 +EDGE_SE2 1910 1911 0.437553 0.162933 -0.179855 63.553798 0.000000 0.000000 63.553798 0.000000 1188.077257 0 +EDGE_SE2 1910 2149 0.254913 -0.441435 -1.254097 21.160970 0.000000 0.000000 21.160970 0.000000 240.567420 1 +EDGE_SE2 1911 1912 0.215624 0.147209 -0.266614 89.843693 0.000000 0.000000 89.843693 0.000000 966.141270 0 +EDGE_SE2 1911 2148 0.050791 -0.598287 -1.582691 56.323124 0.000000 0.000000 56.323124 0.000000 213.749762 1 +EDGE_SE2 1911 2151 0.257916 -0.913883 -0.021556 7.057255 0.000000 0.000000 7.057255 0.000000 112.165083 1 +EDGE_SE2 1912 1913 0.240821 0.092491 -0.407071 738.266137 0.000000 0.000000 738.266137 0.000000 1366.330671 0 +EDGE_SE2 1912 2147 0.229128 -0.764258 -1.854052 24.163862 0.000000 0.000000 24.163862 0.000000 154.218297 1 +EDGE_SE2 1913 1914 0.381519 -0.020355 -0.288956 199.660547 0.000000 0.000000 199.660547 0.000000 1324.279652 0 +EDGE_SE2 1913 3801 -1.298931 0.307076 2.664873 11.824432 0.000000 0.000000 11.824432 0.000000 216.619019 1 +EDGE_SE2 1914 1915 0.572395 -0.001175 -0.146390 105.290299 0.000000 0.000000 105.290299 0.000000 1793.083533 0 +EDGE_SE2 1914 2145 0.261551 0.018111 -1.667843 268.375236 0.000000 0.000000 268.375236 0.000000 229.372035 1 +EDGE_SE2 1915 1916 0.542908 0.006344 -0.019048 91.688819 0.000000 0.000000 91.688819 0.000000 1429.183067 0 +EDGE_SE2 1916 1917 0.437866 -0.009132 -0.001871 121.450414 0.000000 0.000000 121.450414 0.000000 1715.423600 0 +EDGE_SE2 1917 1918 0.240921 0.017540 0.021525 101.380772 0.000000 0.000000 101.380772 0.000000 1420.849565 0 +EDGE_SE2 1918 1919 0.160694 0.002251 0.023491 206.806412 0.000000 0.000000 206.806412 0.000000 1072.281216 0 +EDGE_SE2 1919 1927 0.104412 0.003677 0.027630 364.630753 0.000000 0.000000 364.630753 0.000000 2227.221419 0 +EDGE_SE2 1927 1933 -0.004601 -0.002052 0.000022 364.630753 0.000000 0.000000 364.630753 0.000000 2227.221419 0 +EDGE_SE2 1933 1937 -0.118465 -0.055988 0.190320 94.569023 0.000000 0.000000 94.569023 0.000000 1207.879949 0 +EDGE_SE2 1937 1938 -0.367796 -0.029510 0.510260 28.216020 0.000000 0.000000 28.216020 0.000000 845.266836 0 +EDGE_SE2 1938 1939 -0.168148 0.152168 0.462657 15.281623 0.000000 0.000000 15.281623 0.000000 1464.046325 0 +EDGE_SE2 1939 1940 0.026344 0.130859 0.235300 19.701162 0.000000 0.000000 19.701162 0.000000 1337.862309 0 +EDGE_SE2 1940 1941 0.128029 0.140575 0.148531 105.112392 0.000000 0.000000 105.112392 0.000000 1279.806596 0 +EDGE_SE2 1941 1942 0.108727 0.100105 0.053966 128.421183 0.000000 0.000000 128.421183 0.000000 1101.866989 0 +EDGE_SE2 1942 1948 -0.095802 0.032524 -0.544985 26.453288 0.000000 0.000000 26.453288 0.000000 931.712864 0 +EDGE_SE2 1948 1949 0.061504 -0.265411 -0.491301 74.596900 0.000000 0.000000 74.596900 0.000000 1054.957228 0 +EDGE_SE2 1949 1950 0.371019 -0.258331 -0.385349 59.708059 0.000000 0.000000 59.708059 0.000000 1574.883120 0 +EDGE_SE2 1950 1951 0.528509 -0.152283 -0.173876 57.242881 0.000000 0.000000 57.242881 0.000000 886.341111 0 +EDGE_SE2 1951 1952 0.609875 -0.067612 -0.069722 17.229857 0.000000 0.000000 17.229857 0.000000 1267.901159 0 +EDGE_SE2 1952 1953 0.907795 0.001324 -0.001946 93.266241 0.000000 0.000000 93.266241 0.000000 1324.279652 0 +EDGE_SE2 1953 1954 0.974014 0.009308 -0.008315 26.968566 0.000000 0.000000 26.968566 0.000000 927.088900 0 +EDGE_SE2 1954 1955 0.921947 0.008705 -0.006891 75.243250 0.000000 0.000000 75.243250 0.000000 1412.660175 0 +EDGE_SE2 1955 1956 0.874138 0.013184 -0.004781 163.559378 0.000000 0.000000 163.559378 0.000000 2033.165626 0 +EDGE_SE2 1956 1957 0.776104 0.014866 0.018763 395.413768 0.000000 0.000000 395.413768 0.000000 1660.072658 0 +EDGE_SE2 1957 1958 0.785980 0.005829 0.000943 550.673390 0.000000 0.000000 550.673390 0.000000 1793.083533 0 +EDGE_SE2 1958 1959 0.700100 -0.014851 0.022410 139.540399 0.000000 0.000000 139.540399 0.000000 1041.686851 0 +EDGE_SE2 1959 1960 0.538879 -0.024292 0.011396 427.587865 0.000000 0.000000 427.587865 0.000000 1373.736393 0 +EDGE_SE2 1960 1961 0.572456 -0.012280 -0.030103 336.054781 0.000000 0.000000 336.054781 0.000000 1687.067481 0 +EDGE_SE2 1961 1962 0.681770 0.014057 0.002208 292.254507 0.000000 0.000000 292.254507 0.000000 1986.419949 0 +EDGE_SE2 1962 1963 0.789436 -0.015640 -0.000904 563.846903 0.000000 0.000000 563.846903 0.000000 1574.883120 0 +EDGE_SE2 1963 1964 0.867142 -0.003555 -0.025633 349.922768 0.000000 0.000000 349.922768 0.000000 1117.608767 0 +EDGE_SE2 1964 1965 0.824173 0.017448 0.004997 285.194739 0.000000 0.000000 285.194739 0.000000 1279.806596 0 +EDGE_SE2 1965 1966 0.807770 0.017914 0.011394 399.588261 0.000000 0.000000 399.588261 0.000000 1273.812109 0 +EDGE_SE2 1966 1967 0.740498 -0.005211 0.009773 459.478973 0.000000 0.000000 459.478973 0.000000 1745.259296 0 +EDGE_SE2 1967 1968 0.868561 -0.001553 0.007131 219.201778 0.000000 0.000000 219.201778 0.000000 1429.183067 0 +EDGE_SE2 1968 1969 0.884216 0.002205 -0.026822 293.334450 0.000000 0.000000 293.334450 0.000000 1793.083533 0 +EDGE_SE2 1969 1970 0.884045 -0.011784 0.026640 276.962683 0.000000 0.000000 276.962683 0.000000 1863.426972 0 +EDGE_SE2 1970 1971 0.880226 -0.043259 0.021323 275.090033 0.000000 0.000000 275.090033 0.000000 1121.650832 0 +EDGE_SE2 1971 1972 0.830683 -0.028290 -0.009397 618.215257 0.000000 0.000000 618.215257 0.000000 1396.697340 0 +EDGE_SE2 1972 1973 0.733931 -0.024521 0.006688 454.921927 0.000000 0.000000 454.921927 0.000000 1473.168220 0 +EDGE_SE2 1973 1974 0.772648 -0.014778 -0.007177 161.888091 0.000000 0.000000 161.888091 0.000000 1521.481569 0 +EDGE_SE2 1974 1975 0.849117 -0.013657 -0.000744 217.880559 0.000000 0.000000 217.880559 0.000000 1715.423600 0 +EDGE_SE2 1975 1976 0.827188 -0.012199 -0.011974 250.874975 0.000000 0.000000 250.874975 0.000000 1138.268781 0 +EDGE_SE2 1976 1977 0.822214 -0.002243 -0.023601 358.761461 0.000000 0.000000 358.761461 0.000000 1359.043596 0 +EDGE_SE2 1977 1978 0.837963 0.010601 -0.004751 505.988167 0.000000 0.000000 505.988167 0.000000 1151.228632 0 +EDGE_SE2 1978 1979 0.756788 -0.034286 0.009856 340.883032 0.000000 0.000000 340.883032 0.000000 1101.866989 0 +EDGE_SE2 1979 1980 0.864698 0.011204 0.000844 269.125431 0.000000 0.000000 269.125431 0.000000 1105.739970 0 +EDGE_SE2 1980 1981 0.835398 0.031021 -0.005208 188.054556 0.000000 0.000000 188.054556 0.000000 1035.236626 0 +EDGE_SE2 1980 3091 0.301617 0.793961 -1.567487 43.626265 0.000000 0.000000 43.626265 0.000000 98.485119 2 +EDGE_SE2 1980 3092 0.258122 -0.356620 -1.561792 35.373141 0.000000 0.000000 35.373141 0.000000 129.831076 2 +EDGE_SE2 1981 1982 0.857714 0.016190 0.013141 185.101753 0.000000 0.000000 185.101753 0.000000 1420.849565 0 +EDGE_SE2 1982 1983 0.823843 -0.011608 0.001141 690.155605 0.000000 0.000000 690.155605 0.000000 2033.165626 0 +EDGE_SE2 1983 1984 0.823645 0.009098 -0.017275 291.732424 0.000000 0.000000 291.732424 0.000000 1437.664931 0 +EDGE_SE2 1984 1985 0.906609 0.004581 0.007965 265.619078 0.000000 0.000000 265.619078 0.000000 1041.686851 0 +EDGE_SE2 1985 1986 0.901045 -0.007084 0.001080 208.846649 0.000000 0.000000 208.846649 0.000000 1083.094495 0 +EDGE_SE2 1986 1987 0.921652 -0.029629 -0.004026 271.133002 0.000000 0.000000 271.133002 0.000000 1155.647994 0 +EDGE_SE2 1987 1988 0.921312 -0.008606 0.003229 208.017185 0.000000 0.000000 208.017185 0.000000 1331.019012 0 +EDGE_SE2 1988 1989 0.927008 -0.006397 0.005154 166.558218 0.000000 0.000000 166.558218 0.000000 1234.084342 0 +EDGE_SE2 1989 1990 0.968864 0.010902 -0.015124 181.103016 0.000000 0.000000 181.103016 0.000000 1304.659595 0 +EDGE_SE2 1990 1991 0.912165 0.040524 -0.012926 242.068955 0.000000 0.000000 242.068955 0.000000 1597.875306 0 +EDGE_SE2 1991 1992 0.905750 0.040001 -0.010892 194.246616 0.000000 0.000000 194.246616 0.000000 1256.321881 0 +EDGE_SE2 1992 1993 0.945524 0.054665 -0.014005 162.258625 0.000000 0.000000 162.258625 0.000000 1113.610202 0 +EDGE_SE2 1993 1994 1.025145 0.044163 0.009339 136.706684 0.000000 0.000000 136.706684 0.000000 787.440735 0 +EDGE_SE2 1994 1995 0.949574 0.016663 -0.004103 93.521310 0.000000 0.000000 93.521310 0.000000 1501.592093 0 +EDGE_SE2 1995 1996 1.003611 0.019382 -0.001589 214.212373 0.000000 0.000000 214.212373 0.000000 955.917264 0 +EDGE_SE2 1996 1997 1.018549 0.020535 0.004877 339.257747 0.000000 0.000000 339.257747 0.000000 779.137076 0 +EDGE_SE2 1997 1998 1.016793 -0.001049 0.008180 502.445740 0.000000 0.000000 502.445740 0.000000 1146.859636 0 +EDGE_SE2 1998 1999 1.094393 -0.004253 0.020177 231.555591 0.000000 0.000000 231.555591 0.000000 1701.068290 0 +EDGE_SE2 1999 2000 1.020002 0.014137 0.006521 128.865068 0.000000 0.000000 128.865068 0.000000 1223.399389 0 +EDGE_SE2 2000 2001 1.055758 -0.001198 0.007411 137.265127 0.000000 0.000000 137.265127 0.000000 987.613724 0 +EDGE_SE2 2001 2002 0.898941 0.022667 -0.023959 74.462856 0.000000 0.000000 74.462856 0.000000 1634.333472 0 +EDGE_SE2 2002 2003 0.989969 0.031673 -0.008829 140.974923 0.000000 0.000000 140.974923 0.000000 1901.852294 0 +EDGE_SE2 2003 2004 0.957714 0.057571 0.013895 201.720107 0.000000 0.000000 201.720107 0.000000 1404.610688 0 +EDGE_SE2 2004 2005 0.972610 -0.003448 0.001784 361.353665 0.000000 0.000000 361.353665 0.000000 1337.862309 0 +EDGE_SE2 2005 2006 0.878542 -0.012142 -0.024835 684.984290 0.000000 0.000000 684.984290 0.000000 1304.659595 0 +EDGE_SE2 2006 2007 0.949825 0.015171 0.017242 222.208932 0.000000 0.000000 222.208932 0.000000 1942.757022 0 +EDGE_SE2 2007 2008 0.878893 0.035110 0.012373 101.698832 0.000000 0.000000 101.698832 0.000000 1687.067481 0 +EDGE_SE2 2007 2810 -0.053379 0.943500 -1.604612 0.935878 0.000000 0.000000 0.935878 0.000000 280.922239 2 +EDGE_SE2 2007 2811 -0.013247 -0.199176 -1.568239 24.876829 0.000000 0.000000 24.876829 0.000000 182.724048 1 +EDGE_SE2 2008 2009 0.826756 0.049587 -0.013523 254.641958 0.000000 0.000000 254.641958 0.000000 1109.654136 0 +EDGE_SE2 2009 2010 0.887550 0.006035 0.003977 635.254282 0.000000 0.000000 635.254282 0.000000 1245.054203 0 +EDGE_SE2 2010 2011 0.853990 0.005661 -0.011742 279.477643 0.000000 0.000000 279.477643 0.000000 913.619559 0 +EDGE_SE2 2011 2012 0.925863 -0.015663 -0.002116 92.957931 0.000000 0.000000 92.957931 0.000000 1245.054203 0 +EDGE_SE2 2012 2013 0.915117 -0.007092 -0.005004 132.601852 0.000000 0.000000 132.601852 0.000000 898.623577 0 +EDGE_SE2 2013 2014 0.990233 -0.008369 0.019832 144.541333 0.000000 0.000000 144.541333 0.000000 1921.978249 0 +EDGE_SE2 2014 2015 1.004118 -0.006001 -0.000632 309.780307 0.000000 0.000000 309.780307 0.000000 1701.068290 0 +EDGE_SE2 2015 2016 0.968740 -0.015163 0.001192 164.179540 0.000000 0.000000 164.179540 0.000000 1621.904928 0 +EDGE_SE2 2016 2017 0.990473 -0.007473 -0.003209 475.111569 0.000000 0.000000 475.111569 0.000000 1234.084342 0 +EDGE_SE2 2017 2018 1.024604 -0.005844 -0.003181 206.815588 0.000000 0.000000 206.815588 0.000000 1381.263743 0 +EDGE_SE2 2018 2019 0.915626 -0.025146 -0.017359 288.270900 0.000000 0.000000 288.270900 0.000000 955.917264 0 +EDGE_SE2 2019 2020 1.050727 -0.001122 0.008469 251.913118 0.000000 0.000000 251.913118 0.000000 772.414466 0 +EDGE_SE2 2020 2021 1.030604 -0.007835 0.005289 792.743524 0.000000 0.000000 792.743524 0.000000 1218.159944 0 +EDGE_SE2 2021 2022 0.943699 0.000221 -0.027865 359.263578 0.000000 0.000000 359.263578 0.000000 1574.883120 0 +EDGE_SE2 2022 2023 1.008101 -0.004597 0.035768 230.519296 0.000000 0.000000 230.519296 0.000000 2196.069981 0 +EDGE_SE2 2023 2024 1.020242 -0.011253 0.017293 442.392493 0.000000 0.000000 442.392493 0.000000 1491.935466 0 +EDGE_SE2 2024 2025 1.006031 -0.000748 -0.004078 124.687491 0.000000 0.000000 124.687491 0.000000 1634.333472 0 +EDGE_SE2 2025 2026 1.041979 -0.015549 -0.025493 298.695401 0.000000 0.000000 298.695401 0.000000 1942.757022 0 +EDGE_SE2 2026 2027 0.904467 -0.020515 -0.006953 541.834438 0.000000 0.000000 541.834438 0.000000 1715.423600 0 +EDGE_SE2 2027 2028 0.961309 0.022572 -0.031936 577.311894 0.000000 0.000000 577.311894 0.000000 1542.182970 0 +EDGE_SE2 2028 2029 0.978508 0.011005 0.007770 364.712970 0.000000 0.000000 364.712970 0.000000 1311.102321 0 +EDGE_SE2 2029 2030 0.971283 0.007431 0.014422 389.855975 0.000000 0.000000 389.855975 0.000000 1921.978249 0 +EDGE_SE2 2030 2031 0.938501 0.005493 0.043645 256.269003 0.000000 0.000000 256.269003 0.000000 987.613724 0 +EDGE_SE2 2031 2032 0.852751 -0.004536 0.124819 297.700306 0.000000 0.000000 297.700306 0.000000 1373.736393 0 +EDGE_SE2 2032 2033 0.681780 0.010315 0.278571 88.683737 0.000000 0.000000 88.683737 0.000000 946.011062 0 +EDGE_SE2 2033 2034 0.614735 -0.073643 0.430244 202.317702 0.000000 0.000000 202.317702 0.000000 1173.848284 0 +EDGE_SE2 2034 2035 0.578850 -0.067457 0.376341 158.191573 0.000000 0.000000 158.191573 0.000000 1986.419949 0 +EDGE_SE2 2035 2036 0.579346 -0.070899 0.239793 88.432826 0.000000 0.000000 88.432826 0.000000 1331.019012 0 +EDGE_SE2 2036 2037 0.539299 -0.017017 0.046783 64.753091 0.000000 0.000000 64.753091 0.000000 1048.259010 0 +EDGE_SE2 2037 2038 0.534271 0.022335 0.017412 46.280938 0.000000 0.000000 46.280938 0.000000 1068.748111 0 +EDGE_SE2 2038 2039 0.443386 -0.010033 0.064571 82.283490 0.000000 0.000000 82.283490 0.000000 1373.736393 0 +EDGE_SE2 2039 2040 0.316181 -0.011091 0.004113 191.122594 0.000000 0.000000 191.122594 0.000000 1337.862309 0 +EDGE_SE2 2040 2042 0.043766 -0.028345 0.441403 13.436738 0.000000 0.000000 13.436738 0.000000 1129.868130 0 +EDGE_SE2 2042 2043 0.095627 0.132572 0.446862 115.977745 0.000000 0.000000 115.977745 0.000000 1827.240485 0 +EDGE_SE2 2043 2044 0.307137 0.150124 0.433974 142.697944 0.000000 0.000000 142.697944 0.000000 1134.045066 0 +EDGE_SE2 2044 2045 0.488450 0.062881 0.192984 194.517248 0.000000 0.000000 194.517248 0.000000 1464.046325 0 +EDGE_SE2 2045 2046 0.502871 0.028522 0.140538 202.937428 0.000000 0.000000 202.937428 0.000000 1331.019012 0 +EDGE_SE2 2046 2047 0.431864 0.023106 -0.072893 231.627574 0.000000 0.000000 231.627574 0.000000 2083.374812 0 +EDGE_SE2 2047 2048 0.384438 -0.039509 0.038990 567.163025 0.000000 0.000000 567.163025 0.000000 1701.068290 0 +EDGE_SE2 2048 2049 0.433685 -0.028557 -0.015612 603.963123 0.000000 0.000000 603.963123 0.000000 1647.052255 0 +EDGE_SE2 2049 2050 0.465754 -0.016586 -0.004563 511.162265 0.000000 0.000000 511.162265 0.000000 1882.345638 0 +EDGE_SE2 2050 2051 0.557869 -0.044754 -0.037758 437.741271 0.000000 0.000000 437.741271 0.000000 830.035553 0 +EDGE_SE2 2051 2052 0.590752 -0.022511 -0.029644 287.824557 0.000000 0.000000 287.824557 0.000000 1101.866989 0 +EDGE_SE2 2052 2053 0.658791 -0.062119 0.022461 309.224993 0.000000 0.000000 309.224993 0.000000 1101.866989 0 +EDGE_SE2 2053 2054 0.581877 -0.025208 -0.028977 244.650268 0.000000 0.000000 244.650268 0.000000 1660.072658 0 +EDGE_SE2 2054 2055 0.619629 -0.026180 -0.039489 673.213452 0.000000 0.000000 673.213452 0.000000 1311.102321 0 +EDGE_SE2 2055 2056 0.688174 -0.032379 0.039040 295.150259 0.000000 0.000000 295.150259 0.000000 1437.664931 0 +EDGE_SE2 2056 2057 0.741314 -0.019753 0.010021 658.544978 0.000000 0.000000 658.544978 0.000000 936.406609 0 +EDGE_SE2 2057 2058 0.690128 -0.015766 0.012804 761.396863 0.000000 0.000000 761.396863 0.000000 1760.773061 0 +EDGE_SE2 2058 2059 0.675341 -0.023815 -0.006136 362.303818 0.000000 0.000000 362.303818 0.000000 1455.091854 0 +EDGE_SE2 2059 2060 0.722632 -0.012684 -0.014670 287.937176 0.000000 0.000000 287.937176 0.000000 1809.920234 0 +EDGE_SE2 2060 2061 0.712905 0.009399 -0.012033 331.124469 0.000000 0.000000 331.124469 0.000000 1344.812341 0 +EDGE_SE2 2061 2062 0.707828 -0.002228 -0.018545 183.115746 0.000000 0.000000 183.115746 0.000000 752.017017 0 +EDGE_SE2 2062 2063 0.767798 0.002544 0.004536 199.429115 0.000000 0.000000 199.429115 0.000000 1647.052255 0 +EDGE_SE2 2063 2064 0.693432 -0.013084 -0.003068 228.481617 0.000000 0.000000 228.481617 0.000000 1337.862309 0 +EDGE_SE2 2064 2065 0.557106 -0.016434 0.042394 231.649587 0.000000 0.000000 231.649587 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