Longest edge for bottleneck, tests for bottleneck

1626 files changed, 54929 insertions, 501 deletions

diff --git a/geom_bottleneck/example/bottleneck_dist.cpp b/geom_bottleneck/example/bottleneck_dist.cpp
index 91c4190..8966789 100644
--- a/geom_bottleneck/example/bottleneck_dist.cpp
+++ b/geom_bottleneck/example/bottleneck_dist.cpp
@@ -57,6 +57,7 @@ int main(int argc, char* argv[])
     }
 
     double res;
+    hera::bt::MatchingEdge<double> e;
     if (argc >= 4) {
         // the third parameter is epsilon,
         // return approximate distance (faster)
@@ -65,7 +66,7 @@ int main(int argc, char* argv[])
             if (useSamplingHeur && diagramA.size() > heurThreshold && diagramB.size() > heurThreshold) {
                 res = hera::bottleneckDistApproxHeur(diagramA, diagramB, delta);
             } else {
-                res = hera::bottleneckDistApprox(diagramA, diagramB, delta);
+                res = hera::bottleneckDistApprox(diagramA, diagramB, delta, e, true);
             }
         } else if (delta == 0.0) {
             res = hera::bottleneckDistExact(diagramA, diagramB, decPrecision);
@@ -75,10 +76,12 @@ int main(int argc, char* argv[])
         }
     } else {
         // only filenames have been supplied, return exact distance
-        res = hera::bottleneckDistExact(diagramA, diagramB, decPrecision);
+        res = hera::bottleneckDistExact(diagramA, diagramB, decPrecision, e, true);
+
     }
     std::cout << std::setprecision(15) << res << std::endl;
-
+    //std::cout << "Longest edge " << e.first.get_user_id() << " <-> " << e.second.get_user_id() << std::endl;
+    //std::cout << "Longest edge " << e.first << " <-> " << e.second << std::endl;
     // Alternative could be to construct DiagramPointSet
     // using the constructor with iterators.
     // May be useful if the same diagram is used multiple times
diff --git a/geom_bottleneck/include/basic_defs_bt.h b/geom_bottleneck/include/basic_defs_bt.h
index 954696e..a26d9a5 100644
--- a/geom_bottleneck/include/basic_defs_bt.h
+++ b/geom_bottleneck/include/basic_defs_bt.h
@@ -117,6 +117,7 @@ namespace hera {
         public:
             Type type;
             IdType id;
+            IdType user_id;
 
             // operators, constructors
             bool operator==(const DiagramPoint<Real>& other) const
@@ -138,15 +139,17 @@ namespace hera {
                     x(0.0),
                     y(0.0),
                     type(DiagramPoint::DIAG),
-                    id(MinValidId - 1)
+                    id(MinValidId - 1),
+                    user_id(-1)
             {
             }
 
-            DiagramPoint(Real _x, Real _y, Type _type, IdType _id) :
+            DiagramPoint(Real _x, Real _y, Type _type, IdType _id, IdType _user_id) :
                     x(_x),
                     y(_y),
                     type(_type),
-                    id(_id)
+                    id(_id),
+                    user_id(_user_id)
             {
                 if (_y == _x and _type != DIAG) {
                     throw std::runtime_error("Point on the main diagonal must have DIAG type");
@@ -179,6 +182,28 @@ namespace hera {
                 return y;
             }
 
+            IdType inline get_user_id() const
+            {
+                if (isNormal())
+                    return user_id;
+                else
+                    return -1;
+            }
+
+            Real inline get_persistence(const Real internal_p = get_infinity()) const
+            {
+                if (isDiagonal())
+                    return 0.0;
+                Real pers = (y - x) / 2;
+                if (internal_p == get_infinity()) {
+                    return pers;
+                } else if (internal_p == 1.0) {
+                    return 2 * pers;
+                } else {
+                    return std::pow(static_cast<Real>(2), static_cast<Real>(1) / internal_p);
+                }
+            }
+
 #ifndef FOR_R_TDA
 
             template<class R>
@@ -191,9 +216,7 @@ namespace hera {
                 }
                 return output;
             }
-
 #endif
-
         };
 
         template<class Real>
@@ -201,7 +224,7 @@ namespace hera {
 
         // compute l-inf distance between two diagram points
         template<class Real>
-        Real distLInf(const DiagramPoint<Real>& a, const DiagramPoint<Real>& b)
+        inline Real distLInf(const DiagramPoint<Real>& a, const DiagramPoint<Real>& b)
         {
             if (a.isDiagonal() and b.isDiagonal()) {
                 // distance between points on the diagonal is 0
@@ -211,9 +234,29 @@ namespace hera {
             return std::max(fabs(a.getRealX() - b.getRealX()), fabs(a.getRealY() - b.getRealY()));
         }
 
+        // this function works with points at infinity as well
+        // not needed in actual computation, since these points are processed
+        // separately, but is useful in tests
+        template<class Real>
+        inline Real dist_l_inf_slow(const DiagramPoint<Real>& a, const DiagramPoint<Real>& b)
+        {
+            if (a.isDiagonal() and b.isDiagonal()) {
+                // distance between points on the diagonal is 0
+                return 0.0;
+            }
+            // otherwise distance is a usual l-inf distance
+            Real dx = (a.getRealX() == b.getRealX()) ? 0.0 : fabs(a.getRealX() - b.getRealX());
+            Real dy = (a.getRealY() == b.getRealY()) ? 0.0 : fabs(a.getRealY() - b.getRealY());
+            Real result = std::max(dx, dy);
+            if (std::isnan(result))
+                result = std::numeric_limits<Real>::infinity();
+            return result;
+        }
+
+
 
         template<class Real = double>
-        Real get_infinity()
+        inline Real get_infinity()
         {
             return Real(-1.0);
         }
@@ -384,8 +427,9 @@ namespace hera {
                 isLinked = false;
                 clear();
                 IdType uniqueId = MinValidId + 1;
+                IdType user_id = 0;
                 for (auto iter = begin_iter; iter != end_iter; ++iter) {
-                    insert(DgmPoint(iter->first, iter->second, DgmPoint::NORMAL, uniqueId++));
+                    insert(DgmPoint(iter->first, iter->second, DgmPoint::NORMAL, uniqueId++, user_id++));
                 }
             }
 
@@ -396,10 +440,11 @@ namespace hera {
                 isLinked = false;
                 clear();
                 IdType uniqueId = MinValidId + 1;
+                IdType user_id = 0;
                 for (const auto& pt : dgm_cont) {
                     Real x = Traits::get_x(pt);
                     Real y = Traits::get_y(pt);
-                    insert(DgmPoint(x, y, DgmPoint::NORMAL, uniqueId++));
+                    insert(DgmPoint(x, y, DgmPoint::NORMAL, uniqueId++, user_id++));
                 }
             }
 
@@ -469,9 +514,9 @@ namespace hera {
             for (auto& pA : A) {
                 if (pA.isNormal() and not pA.isInfinity()) {
                     // add pA's projection to B
-                    DgmPoint dpA { pA.getRealX(), pA.getRealY(), DgmPoint::NORMAL, uniqueId++ };
+                    DgmPoint dpA { pA.getRealX(), pA.getRealY(), DgmPoint::NORMAL, uniqueId++, pA.get_user_id() };
                     DgmPoint dpB { (pA.getRealX() + pA.getRealY()) / 2, (pA.getRealX() + pA.getRealY()) / 2,
-                                   DgmPoint::DIAG, uniqueId++ };
+                                   DgmPoint::DIAG, uniqueId++, -1 };
                     newA.insert(dpA);
                     newB.insert(dpB);
                 }
@@ -480,9 +525,9 @@ namespace hera {
             for (auto& pB : B) {
                 if (pB.isNormal() and not pB.isInfinity()) {
                     // add pB's projection to A
-                    DgmPoint dpB { pB.getRealX(), pB.getRealY(), DgmPoint::NORMAL, uniqueId++ };
+                    DgmPoint dpB { pB.getRealX(), pB.getRealY(), DgmPoint::NORMAL, uniqueId++, pB.get_user_id() };
                     DgmPoint dpA { (pB.getRealX() + pB.getRealY()) / 2, (pB.getRealX() + pB.getRealY()) / 2,
-                                   DgmPoint::DIAG, uniqueId++ };
+                                   DgmPoint::DIAG, uniqueId++, -1 };
                     newB.insert(dpB);
                     newA.insert(dpA);
                 }
diff --git a/geom_bottleneck/include/bottleneck_detail.hpp b/geom_bottleneck/include/bottleneck_detail.hpp
index ad6c882..8ec9c68 100644
--- a/geom_bottleneck/include/bottleneck_detail.hpp
+++ b/geom_bottleneck/include/bottleneck_detail.hpp
@@ -40,6 +40,7 @@ derivative works thereof, in binary and source code form.
 #include <sstream>
 #include <string>
 #include <cctype>
+#include <set>
 
 #include "bottleneck_detail.h"
 
@@ -106,31 +107,35 @@ namespace hera {
             distMax = std::max(distMax, infinityCost);
         }
 
-        template<class Real>
-        inline Real getOneDimensionalCost(std::vector<Real>& set_A, std::vector<Real>& set_B)
-        {
-            if (set_A.size() != set_B.size()) {
-                return std::numeric_limits<Real>::infinity();
-            }
-
-            if (set_A.empty()) {
-                return Real(0.0);
-            }
-
-            std::sort(set_A.begin(), set_A.end());
-            std::sort(set_B.begin(), set_B.end());
-
-            Real result = 0.0;
-            for (size_t i = 0; i < set_A.size(); ++i) {
-                result = std::max(result, (std::fabs(set_A[i] - set_B[i])));
-            }
-
-            return result;
-        }
+        //        template<class Real>
+        //        inline Real getOneDimensionalCost(std::vector<Real>& set_A, std::vector<Real>& set_B)
+        //        {
+        //            if (set_A.size() != set_B.size()) {
+        //                return std::numeric_limits<Real>::infinity();
+        //            }
+        //
+        //            if (set_A.empty()) {
+        //                return Real(0.0);
+        //            }
+        //
+        //            std::sort(set_A.begin(), set_A.end());
+        //            std::sort(set_B.begin(), set_B.end());
+        //
+        //            Real result = 0.0;
+        //            for (size_t i = 0; i < set_A.size(); ++i) {
+        //                result = std::max(result, (std::fabs(set_A[i] - set_B[i])));
+        //            }
+        //
+        //            return result;
+        //        }
 
 
         template<class Real>
-        using CostEdgePair = std::pair<Real, typename hera::bt::MatchingEdge<Real>>;
+        struct CostEdgePair
+        {
+            Real cost;
+            typename hera::bt::MatchingEdge<Real> edge;
+        };
 
         template<class Real>
         using CoordPointPair = std::pair<Real, typename hera::bt::DiagramPoint<Real>>;
@@ -148,27 +153,31 @@ namespace hera {
         };
 
         template<class Real>
-        inline typename hera::bt::CostEdgePair<Real> getOneDimensionalCost(typename hera::bt::CoordPointVector<Real>& set_A, typename hera::bt::CoordPointVector<Real>& set_B)
+        inline typename hera::bt::CostEdgePair<Real>
+        getOneDimensionalCost(typename hera::bt::CoordPointVector<Real>& set_A,
+                              typename hera::bt::CoordPointVector<Real>& set_B)
         {
             using MatchingEdgeR = hera::bt::MatchingEdge<Real>;
+            using CostEdgePairR = CostEdgePair<Real>;
+
             if (set_A.size() != set_B.size()) {
-                return std::make_pair(std::numeric_limits<Real>::infinity(), MatchingEdgeR());
+                return CostEdgePairR { std::numeric_limits<Real>::infinity(), MatchingEdgeR() };
             }
 
             if (set_A.empty()) {
-                return std::make_pair(Real(0.0), MatchingEdgeR());
+                return CostEdgePairR { Real(0.0), MatchingEdgeR() };
             }
 
             std::sort(set_A.begin(), set_A.end(), CoordPointPairComparator<Real>());
             std::sort(set_B.begin(), set_B.end(), CoordPointPairComparator<Real>());
 
-            CostEdgePair<Real> result(-1.0, MatchingEdgeR());
+            CostEdgePairR result { -1.0, MatchingEdgeR() };
 
             for (size_t i = 0; i < set_A.size(); ++i) {
                 Real curr_cost = std::fabs(set_A[i].first - set_B[i].first);
-                if (curr_cost > result.first) {
-                    result.first = curr_cost;
-                    result.second = MatchingEdgeR(set_A[i].second, set_B[i].second);
+                if (curr_cost > result.cost) {
+                    result.cost = curr_cost;
+                    result.edge = MatchingEdgeR(set_A[i].second, set_B[i].second);
                 }
             }
             return result;
@@ -176,23 +185,26 @@ namespace hera {
 
 
         template<class Real>
-        inline Real getInfinityCost(const DiagramPointSet <Real>& A, const DiagramPointSet <Real>& B,
-                                    bool compute_longest_edge = false)
+        inline CostEdgePair<Real> getInfinityCost(const DiagramPointSet <Real>& A, const DiagramPointSet <Real>& B,
+                                                  bool compute_longest_edge = false)
         {
-            std::vector<Real> x_plus_A, x_minus_A, y_plus_A, y_minus_A;
-            std::vector<Real> x_plus_B, x_minus_B, y_plus_B, y_minus_B;
+            using CostEdgePairR = CostEdgePair<Real>;
+            using CoordPointVectorR = CoordPointVector<Real>;
+
+            CoordPointVectorR x_plus_A, x_minus_A, y_plus_A, y_minus_A;
+            CoordPointVectorR x_plus_B, x_minus_B, y_plus_B, y_minus_B;
 
             for (auto iter_A = A.cbegin(); iter_A != A.cend(); ++iter_A) {
                 Real x = iter_A->getRealX();
                 Real y = iter_A->getRealY();
                 if (x == std::numeric_limits<Real>::infinity()) {
-                    y_plus_A.push_back(y);
+                    y_plus_A.emplace_back(y, *iter_A);
                 } else if (x == -std::numeric_limits<Real>::infinity()) {
-                    y_minus_A.push_back(y);
+                    y_minus_A.emplace_back(y, *iter_A);
                 } else if (y == std::numeric_limits<Real>::infinity()) {
-                    x_plus_A.push_back(x);
+                    x_plus_A.emplace_back(x, *iter_A);
                 } else if (y == -std::numeric_limits<Real>::infinity()) {
-                    x_minus_A.push_back(x);
+                    x_minus_A.emplace_back(x, *iter_A);
                 }
             }
 
@@ -200,45 +212,60 @@ namespace hera {
                 Real x = iter_B->getRealX();
                 Real y = iter_B->getRealY();
                 if (x == std::numeric_limits<Real>::infinity()) {
-                    y_plus_B.push_back(y);
+                    y_plus_B.emplace_back(y, *iter_B);
                 } else if (x == -std::numeric_limits<Real>::infinity()) {
-                    y_minus_B.push_back(y);
+                    y_minus_B.emplace_back(y, *iter_B);
                 } else if (y == std::numeric_limits<Real>::infinity()) {
-                    x_plus_B.push_back(x);
+                    x_plus_B.emplace_back(x, *iter_B);
                 } else if (y == -std::numeric_limits<Real>::infinity()) {
-                    x_minus_B.push_back(x);
+                    x_minus_B.emplace_back(x, *iter_B);
                 }
             }
 
-            Real infinity_cost = getOneDimensionalCost(x_plus_A, x_plus_B);
-            infinity_cost = std::max(infinity_cost, getOneDimensionalCost(x_minus_A, x_minus_B));
-            infinity_cost = std::max(infinity_cost, getOneDimensionalCost(y_plus_A, y_plus_B));
-            infinity_cost = std::max(infinity_cost, getOneDimensionalCost(y_minus_A, y_minus_B));
+            CostEdgePairR result = getOneDimensionalCost(x_plus_A, x_plus_B);
 
-            return infinity_cost;
+            CostEdgePairR next_cost_edge = getOneDimensionalCost(x_minus_A, x_minus_B);
+            if (next_cost_edge.cost > result.cost) {
+                result = next_cost_edge;
+            }
+
+            next_cost_edge = getOneDimensionalCost(y_plus_A, y_plus_B);
+            if (next_cost_edge.cost > result.cost) {
+                result = next_cost_edge;
+            }
+
+            next_cost_edge = getOneDimensionalCost(y_minus_A, y_minus_B);
+            if (next_cost_edge.cost > result.cost) {
+                result = next_cost_edge;
+            }
+
+            return result;
         }
 
-// return the interval (distMin, distMax) such that:
-// a) actual bottleneck distance between A and B is contained in the interval
-// b) if the interval is not (0,0), then  (distMax - distMin) / distMin < epsilon
+        // return the interval (distMin, distMax) such that:
+        // a) actual bottleneck distance between A and B is contained in the interval
+        // b) if the interval is not (0,0), then  (distMax - distMin) / distMin < epsilon
         template<class Real>
         inline std::pair<Real, Real>
-        bottleneckDistApproxInterval(DiagramPointSet <Real>& A, DiagramPointSet <Real>& B, const Real epsilon,
-                                     MatchingEdge <Real>& edge, bool compute_longest_edge)
+        bottleneckDistApproxInterval(DiagramPointSet<Real>& A, DiagramPointSet<Real>& B, const Real epsilon,
+                                     MatchingEdge<Real>& edge, bool compute_longest_edge)
         {
+            using MatchingEdgeR = MatchingEdge<Real>;
+            using CostEdgePairR = CostEdgePair<Real>;
+
+            edge = MatchingEdgeR();
             // empty diagrams are not considered as error
             if (A.empty() and B.empty()) {
                 return std::make_pair(0.0, 0.0);
             }
 
-            if (compute_longest_edge) {
-                auto inf_cost_edge = getInfinityCost(A, B, true);
-            } else {
-            }
+            CostEdgePairR inf_cost_edge = getInfinityCost(A, B, true);
 
-            Real infinity_cost = getInfinityCost(A, B);
+            Real infinity_cost = inf_cost_edge.cost;
             if (infinity_cost == std::numeric_limits<Real>::infinity()) {
                 return std::make_pair(infinity_cost, infinity_cost);
+            } else {
+                edge = inf_cost_edge.edge;
             }
 
             // link diagrams A and B by adding projections
@@ -254,15 +281,20 @@ namespace hera {
             BoundMatchOracle<Real> oracle(A, B, epsThreshold, useRangeSearch);
             // check for distance = 0
             if (oracle.isMatchLess(2 * epsThreshold)) {
-                result.first = std::max(result.first, infinity_cost);
-                result.second = std::max(result.first, infinity_cost);
+                if (infinity_cost > epsThreshold) {
+                    result.first = infinity_cost;
+                    result.second = infinity_cost;
+                    edge = inf_cost_edge.edge;
+                }
                 return result;
             }
             // get a 3-approximation of maximal distance between A and B
             // as a starting value for probe distance
             Real distProbe { getFurthestDistance3Approx<Real, DiagramPointSet<Real>>(A, B) };
             binarySearch(epsilon, result, oracle, infinity_cost, false, distProbe);
-            if (compute_longest_edge) {
+            // to compute longest edge a perfect matching is needed
+            if (compute_longest_edge and result.first > infinity_cost) {
+                oracle.isMatchLess(result.second);
                 edge = oracle.get_longest_edge();
             }
             return result;
@@ -318,9 +350,9 @@ namespace hera {
         }
 
 
-// return the interval (distMin, distMax) such that:
-// a) actual bottleneck distance between A and B is contained in the interval
-// b) if the interval is not (0,0), then  (distMax - distMin) / distMin < epsilon
+        // return the interval (distMin, distMax) such that:
+        // a) actual bottleneck distance between A and B is contained in the interval
+        // b) if the interval is not (0,0), then  (distMax - distMin) / distMin < epsilon
         template<class Real>
         std::pair<Real, Real>
         bottleneckDistApproxIntervalWithInitial(DiagramPointSet <Real>& A, DiagramPointSet <Real>& B,
@@ -378,10 +410,10 @@ namespace hera {
             return result;
         }
 
-// return the interval (distMin, distMax) such that:
-// a) actual bottleneck distance between A and B is contained in the interval
-// b) if the interval is not (0,0), then  (distMax - distMin) / distMin < epsilon
-// use heuristic: initial estimate on sampled diagrams
+        // return the interval (distMin, distMax) such that:
+        // a) actual bottleneck distance between A and B is contained in the interval
+        // b) if the interval is not (0,0), then  (distMax - distMin) / distMin < epsilon
+        // use heuristic: initial estimate on sampled diagrams
         template<class Real>
         std::pair<Real, Real>
         bottleneckDistApproxIntervalHeur(DiagramPointSet <Real>& A, DiagramPointSet <Real>& B, const Real epsilon,
@@ -410,13 +442,13 @@ namespace hera {
         }
 
 
-// get approximate distance,
-// see bottleneckDistApproxInterval
+        // get approximate distance,
+        // see bottleneckDistApproxInterval
         template<class Real>
         Real bottleneckDistApprox(DiagramPointSet <Real>& A, DiagramPointSet <Real>& B, const Real epsilon,
                                   MatchingEdge <Real>& longest_edge, bool compute_longest_edge)
         {
-            auto interval = bottleneckDistApproxInterval<Real>(A, B, epsilon, longest_edge);
+            auto interval = bottleneckDistApproxInterval<Real>(A, B, epsilon, longest_edge, compute_longest_edge);
             return interval.second;
         }
 
@@ -444,7 +476,7 @@ namespace hera {
                     distEpsilon = diff;
                 }
             }
-            distEpsilon /= 3.0;
+            distEpsilon = std::min(diffThreshold, distEpsilon / 3.0);
 
             BoundMatchOracle<Real> oracle(A, B, distEpsilon, useRangeSearch);
             // binary search
@@ -462,16 +494,19 @@ namespace hera {
                 }
             }
             idxMid = static_cast<size_t>(floor(idxMin + idxMax) / 2.0);
+            Real result = pairwiseDist[idxMid];
             if (compute_longest_edge) {
+                oracle.isMatchLess(result + distEpsilon / 2.0);
                 longest_edge = oracle.get_longest_edge();
             }
-            return pairwiseDist[idxMid];
+            return result;
         }
 
 
         template<class Real>
-        Real bottleneckDistExact(DiagramPointSet <Real>& A, DiagramPointSet <Real>& B, MatchingEdge <Real>& longest_edge,
-                                 bool compute_longest_edge)
+        Real
+        bottleneckDistExact(DiagramPointSet <Real>& A, DiagramPointSet <Real>& B, MatchingEdge <Real>& longest_edge,
+                            bool compute_longest_edge)
         {
             return bottleneckDistExact(A, B, 14, longest_edge, compute_longest_edge);
         }
@@ -483,7 +518,10 @@ namespace hera {
             using DgmPoint = DiagramPoint<Real>;
 
             constexpr Real epsilon = 0.001;
-            auto interval = bottleneckDistApproxInterval(A, B, epsilon, longest_edge);
+            auto interval = bottleneckDistApproxInterval(A, B, epsilon, longest_edge, true);
+            // if the longest edge is on infinity, the answer is already exact
+            // this will be detected here and all the code after if
+            // may assume that the longest edge is on finite points
             if (interval.first == interval.second) {
                 return interval.first;
             }
@@ -504,7 +542,7 @@ namespace hera {
 
             // in this vector we store the distances between the points
             // that are candidates to realize
-            std::vector<Real> pairwiseDist;
+            std::set<Real> pairwiseDist;
             {
                 // vector to store centers of vertical stripes
                 // two for each point in A and the id of the corresponding point
@@ -540,7 +578,7 @@ namespace hera {
                         // check if distance fits into the interval we've found
                         Real pwDist = distLInf(iterA->second, ptB);
                         if (pwDist >= minDist and pwDist <= maxDist) {
-                            pairwiseDist.push_back(pwDist);
+                            pairwiseDist.insert(pwDist);
                         }
                     }
                 }
@@ -577,15 +615,19 @@ namespace hera {
                         }
                         Real pwDist = distLInf(iterA->second, ptB);
                         if (pwDist >= minDist and pwDist <= maxDist) {
-                            pairwiseDist.push_back(pwDist);
+                            pairwiseDist.insert(pwDist);
                         }
                     }
                 }
             }
 
-            std::sort(pairwiseDist.begin(), pairwiseDist.end());
+            std::vector<Real> pw_dists;
+            pw_dists.reserve(pairwiseDist.size());
+            for(Real d : pairwiseDist) {
+                pw_dists.push_back(d);
+            }
 
-            return bottleneckDistExactFromSortedPwDist(A, B, pairwiseDist, decPrecision, longest_edge,
+            return bottleneckDistExactFromSortedPwDist(A, B, pw_dists, decPrecision, longest_edge,
                                                        compute_longest_edge);
         }
 
diff --git a/geom_bottleneck/include/bound_match.hpp b/geom_bottleneck/include/bound_match.hpp
index bb7dead..b95628f 100644
--- a/geom_bottleneck/include/bound_match.hpp
+++ b/geom_bottleneck/include/bound_match.hpp
@@ -45,442 +45,467 @@ derivative works thereof, in binary and source code form.
 #endif
 
 #ifndef FOR_R_TDA
+
 #include <iostream>
+
 #endif
 
-namespace hera{
-namespace bt {
+namespace hera {
+    namespace bt {
 
 #ifndef FOR_R_TDA
-template<class Real>
-std::ostream& operator<<(std::ostream& output, const Matching<Real>& m)
-{
-    output << "Matching: " << m.AToB.size() << " pairs (";
-    if (!m.isPerfect()) {
-        output << "not";
-    }
-    output << " perfect)" << std::endl;
-    for(auto atob : m.AToB) {
-        output << atob.first << " <-> " << atob.second << "  distance: " << distLInf(atob.first, atob.second) << std::endl;
-    }
-    return output;
-}
+
+        template<class Real>
+        std::ostream& operator<<(std::ostream& output, const Matching <Real>& m)
+        {
+            output << "Matching: " << m.AToB.size() << " pairs (";
+            if (!m.isPerfect()) {
+                output << "not";
+            }
+            output << " perfect)" << std::endl;
+            for (auto atob : m.AToB) {
+                output << atob.first << " <-> " << atob.second << "  distance: " << distLInf(atob.first, atob.second)
+                       << std::endl;
+            }
+            return output;
+        }
+
 #endif
 
-template<class R>
-void Matching<R>::sanityCheck() const
-{
+        template<class R>
+        void Matching<R>::sanityCheck() const
+        {
 #ifdef DEBUG_MATCHING
-    assert( AToB.size() == BToA.size() );
-    for(auto aToBPair : AToB) {
-        auto bToAPair = BToA.find(aToBPair.second);
-        assert(bToAPair != BToA.end());
-        assert( aToBPair.first == bToAPair->second);
-    }
+            assert( AToB.size() == BToA.size() );
+            for(auto aToBPair : AToB) {
+                auto bToAPair = BToA.find(aToBPair.second);
+                assert(bToAPair != BToA.end());
+                assert( aToBPair.first == bToAPair->second);
+            }
 #endif
-}
-
-template<class R>
-bool Matching<R>::isPerfect() const
-{
-    return AToB.size() == A.size();
-}
-
-template<class R>
-void Matching<R>::matchVertices(const DgmPoint& pA, const DgmPoint& pB)
-{
-    assert(A.hasElement(pA));
-    assert(B.hasElement(pB));
-    AToB.erase(pA);
-    AToB.insert( {{ pA, pB }} );
-    BToA.erase(pB);
-    BToA.insert( {{ pB, pA }} );
-}
-
-template<class R>
-bool Matching<R>::getMatchedVertex(const DgmPoint& p, DgmPoint& result) const
-{
-    sanityCheck();
-    auto inA = AToB.find(p);
-    if (inA != AToB.end()) {
-        result = inA->second;
-        return true;
-    } else {
-        auto inB = BToA.find(p);
-        if (inB != BToA.end()) {
-            result = inB->second;
-            return true;
         }
-    }
-    return false;
-}
-
-
-template<class R>
-void Matching<R>::checkAugPath(const Path& augPath) const
-{
-    assert(augPath.size() % 2 == 0);
-    for(size_t idx = 0; idx < augPath.size(); ++idx) {
-        bool mustBeExposed  { idx == 0 or idx == augPath.size() - 1 };
-        if (isExposed(augPath[idx]) != mustBeExposed) {
+
+        template<class R>
+        bool Matching<R>::isPerfect() const
+        {
+            return AToB.size() == A.size();
+        }
+
+        template<class R>
+        void Matching<R>::matchVertices(const DgmPoint& pA, const DgmPoint& pB)
+        {
+            assert(A.hasElement(pA));
+            assert(B.hasElement(pB));
+            AToB.erase(pA);
+            AToB.insert({{ pA, pB }});
+            BToA.erase(pB);
+            BToA.insert({{ pB, pA }});
+        }
+
+        template<class R>
+        bool Matching<R>::getMatchedVertex(const DgmPoint& p, DgmPoint& result) const
+        {
+            sanityCheck();
+            auto inA = AToB.find(p);
+            if (inA != AToB.end()) {
+                result = inA->second;
+                return true;
+            } else {
+                auto inB = BToA.find(p);
+                if (inB != BToA.end()) {
+                    result = inB->second;
+                    return true;
+                }
+            }
+            return false;
+        }
+
+
+        template<class R>
+        void Matching<R>::checkAugPath(const Path& augPath) const
+        {
+            assert(augPath.size() % 2 == 0);
+            for (size_t idx = 0; idx < augPath.size(); ++idx) {
+                bool mustBeExposed { idx == 0 or idx == augPath.size() - 1 };
+                if (isExposed(augPath[idx]) != mustBeExposed) {
 #ifndef FOR_R_TDA
-            std::cerr << "mustBeExposed = " << mustBeExposed << ", idx = " << idx << ", point " << augPath[idx] << std::endl;
+                    std::cerr << "mustBeExposed = " << mustBeExposed << ", idx = " << idx << ", point " << augPath[idx]
+                              << std::endl;
 #endif
+                }
+                assert(isExposed(augPath[idx]) == mustBeExposed);
+                DgmPoint matchedVertex;
+                if (idx % 2 == 0) {
+                    assert(A.hasElement(augPath[idx]));
+                    if (not mustBeExposed) {
+                        getMatchedVertex(augPath[idx], matchedVertex);
+                        assert(matchedVertex == augPath[idx - 1]);
+                    }
+                } else {
+                    assert(B.hasElement(augPath[idx]));
+                    if (not mustBeExposed) {
+                        getMatchedVertex(augPath[idx], matchedVertex);
+                        assert(matchedVertex == augPath[idx + 1]);
+                    }
+                }
+            }
         }
-        assert( isExposed(augPath[idx]) == mustBeExposed );
-        DgmPoint matchedVertex {0.0, 0.0, DgmPoint::DIAG, 1};
-        if ( idx % 2 == 0 ) {
-            assert( A.hasElement(augPath[idx]));
-            if (not mustBeExposed) {
-                getMatchedVertex(augPath[idx], matchedVertex);
-                assert(matchedVertex == augPath[idx - 1]);
+
+        // use augmenting path to increase
+        // the size of the matching
+        template<class R>
+        void Matching<R>::increase(const Path& augPath)
+        {
+            sanityCheck();
+            // check that augPath is an augmenting path
+            checkAugPath(augPath);
+            for (size_t idx = 0; idx < augPath.size() - 1; idx += 2) {
+                matchVertices(augPath[idx], augPath[idx + 1]);
             }
-        } else {
-            assert( B.hasElement(augPath[idx]));
-            if (not mustBeExposed) {
-                getMatchedVertex(augPath[idx], matchedVertex);
-                assert(matchedVertex == augPath[idx + 1]);
+            sanityCheck();
+        }
+
+        template<class R>
+        DiagramPointSet <R> Matching<R>::getExposedVertices(bool forA) const
+        {
+            sanityCheck();
+            DgmPointSet result;
+            const DgmPointSet* setToSearch { forA ? &A : &B };
+            const std::unordered_map<DgmPoint, DgmPoint, DgmPointHash>* mapToSearch { forA ? &AToB : &BToA };
+            for (auto it = setToSearch->cbegin(); it != setToSearch->cend(); ++it) {
+                if (mapToSearch->find((*it)) == mapToSearch->cend()) {
+                    result.insert((*it));
+                }
             }
+            return result;
         }
-    }
-}
-
-// use augmenting path to increase
-// the size of the matching
-template<class R>
-void Matching<R>::increase(const Path& augPath)
-{
-    sanityCheck();
-    // check that augPath is an augmenting path
-    checkAugPath(augPath);
-    for(size_t idx = 0; idx < augPath.size() - 1; idx += 2) {
-        matchVertices( augPath[idx], augPath[idx + 1]);
-    }
-    sanityCheck();
-}
-
-template<class R>
-DiagramPointSet<R> Matching<R>::getExposedVertices(bool forA) const
-{
-    sanityCheck();
-    DgmPointSet result;
-    const DgmPointSet* setToSearch { forA ? &A : &B };
-    const std::unordered_map<DgmPoint, DgmPoint, DgmPointHash>* mapToSearch { forA ? &AToB : &BToA };
-    for(auto it = setToSearch->cbegin(); it != setToSearch->cend(); ++it) {
-        if (mapToSearch->find((*it)) == mapToSearch->cend()) {
-            result.insert((*it));
+
+        template<class R>
+        void Matching<R>::getAllAdjacentVertices(const DgmPointSet& setIn,
+                                                 DgmPointSet& setOut,
+                                                 bool forA) const
+        {
+            sanityCheck();
+            //bool isDebug {false};
+            setOut.clear();
+            const std::unordered_map<DgmPoint, DgmPoint, DgmPointHash>* m;
+            m = (forA) ? &BToA : &AToB;
+            for (auto pit = setIn.cbegin(); pit != setIn.cend(); ++pit) {
+                auto findRes = m->find(*pit);
+                if (findRes != m->cend()) {
+                    setOut.insert((*findRes).second);
+                }
+            }
+            sanityCheck();
         }
-    }
-    return result;
-}
-
-template<class R>
-void Matching<R>::getAllAdjacentVertices(const DgmPointSet& setIn,
-                                      DgmPointSet& setOut,
-                                      bool forA) const
-{
-    sanityCheck();
-    //bool isDebug {false};
-    setOut.clear();
-    const std::unordered_map<DgmPoint, DgmPoint, DgmPointHash>* m;
-    m = ( forA ) ? &BToA : &AToB;
-    for(auto pit = setIn.cbegin(); pit != setIn.cend(); ++pit) {
-        auto findRes = m->find(*pit);
-        if (findRes != m->cend()) {
-            setOut.insert((*findRes).second);
+
+        template<class R>
+        bool Matching<R>::isExposed(const DgmPoint& p) const
+        {
+            return (AToB.find(p) == AToB.end()) && (BToA.find(p) == BToA.end());
         }
-    }
-    sanityCheck();
-}
-
-template<class R>
-bool Matching<R>::isExposed(const DgmPoint& p) const
-{
-    return ( AToB.find(p) == AToB.end() ) && ( BToA.find(p) == BToA.end() );
-}
-
-// remove all edges whose length is > newThreshold
-template<class R>
-void Matching<R>::trimMatching(const R newThreshold)
-{
-    //bool isDebug { false };
-    sanityCheck();
-    for(auto aToBIter = AToB.begin(); aToBIter != AToB.end(); ) {
-        if ( distLInf(aToBIter->first, aToBIter->second) > newThreshold ) {
-            // remove edge from AToB and BToA
-            BToA.erase(aToBIter->second);
-            aToBIter = AToB.erase(aToBIter);
-        } else {
-            aToBIter++;
+
+        // remove all edges whose length is > newThreshold
+        template<class R>
+        void Matching<R>::trimMatching(const R newThreshold)
+        {
+            //bool isDebug { false };
+            sanityCheck();
+            for (auto aToBIter = AToB.begin(); aToBIter != AToB.end();) {
+                if (distLInf(aToBIter->first, aToBIter->second) > newThreshold) {
+                    // remove edge from AToB and BToA
+                    BToA.erase(aToBIter->second);
+                    aToBIter = AToB.erase(aToBIter);
+                } else {
+                    aToBIter++;
+                }
+            }
+            sanityCheck();
         }
-    }
-    sanityCheck();
-}
-
-template<class R>
-MatchingEdge<R> Matching<R>::get_longest_edge() const
-{
-    R max_dist = -1.0;
-    MatchingEdge<R> edge;
-    for(const auto& x : AToB) {
-        if (max_dist < distLInf(x.first, x.second)) {
-            edge = x;
+
+        template<class R>
+        MatchingEdge <R> Matching<R>::get_longest_edge() const
+        {
+            R max_dist = -1.0;
+            MatchingEdge<R> edge;
+            for (const auto& x : AToB) {
+                //std::cout << "max_dist = " << max_dist << std::endl;
+                //std::cout << "distance = " << distLInf(x.first, x.second) << std::endl;
+
+                // for now skew edges may appear in the matching
+                // but they should not be returned to user
+                // if currrent edge is a skew edge, there must another edge
+                // with the same cost
+                R curr_dist;
+                if (x.first.isDiagonal() and x.second.isNormal()) {
+                    curr_dist = x.second.get_persistence(hera::get_infinity());
+                } else if (x.first.isNormal() and x.second.isDiagonal()) {
+                    curr_dist = x.first.get_persistence(hera::get_infinity());
+                } else {
+                    curr_dist = distLInf(x.first, x.second);
+                }
+                if (max_dist < curr_dist) {
+                    max_dist = curr_dist;
+                    edge = x;
+                    //std::cout << "updated max_dist = " << max_dist << std::endl;
+                    //std::cout << "updated edge = " << x.first << " <-> " << x.second << std::endl;
+                }
+            }
+            return edge;
+        }
+
+        // ------- BoundMatchOracle --------------
+
+        template<class R, class NO>
+        BoundMatchOracle<R, NO>::BoundMatchOracle(DgmPointSet psA, DgmPointSet psB,
+                                                  Real dEps, bool useRS) :
+                A(psA), B(psB), M(A, B), distEpsilon(dEps), useRangeSearch(useRS), prevQueryValue(0.0)
+        {
+            neighbOracle = std::unique_ptr<NeighbOracle>(new NeighbOracle(psB, 0, distEpsilon));
         }
-    }
-    return edge;
-}
-
-// ------- BoundMatchOracle --------------
-
-template<class R, class NO>
-BoundMatchOracle<R, NO>::BoundMatchOracle(DgmPointSet psA, DgmPointSet psB,
-        Real dEps, bool useRS) :
-    A(psA), B(psB), M(A, B), distEpsilon(dEps), useRangeSearch(useRS), prevQueryValue(0.0)
-{
-    neighbOracle = std::unique_ptr<NeighbOracle>(new NeighbOracle(psB, 0, distEpsilon));
-}
-
-template<class R, class NO>
-bool BoundMatchOracle<R, NO>::isMatchLess(Real r)
-{
+
+        template<class R, class NO>
+        bool BoundMatchOracle<R, NO>::isMatchLess(Real r)
+        {
 #ifdef VERBOSE_BOTTLENECK
-    std::chrono::high_resolution_clock hrClock;
-    std::chrono::time_point<std::chrono::high_resolution_clock> startMoment;
-    startMoment = hrClock.now();
+            std::chrono::high_resolution_clock hrClock;
+            std::chrono::time_point<std::chrono::high_resolution_clock> startMoment;
+            startMoment = hrClock.now();
 #endif
-    bool result = buildMatchingForThreshold(r);
+            bool result = buildMatchingForThreshold(r);
 #ifdef VERBOSE_BOTTLENECK
-    auto endMoment = hrClock.now();
-    std::chrono::duration<double, std::milli> iterTime = endMoment - startMoment;
-    std::cout << "isMatchLess for r = " << r << " finished in " << std::chrono::duration<double, std::milli>(iterTime).count() << " ms." << std::endl;
+            auto endMoment = hrClock.now();
+            std::chrono::duration<double, std::milli> iterTime = endMoment - startMoment;
+            std::cout << "isMatchLess for r = " << r << " finished in " << std::chrono::duration<double, std::milli>(iterTime).count() << " ms." << std::endl;
 #endif
-    return result;
-
-}
-
-
-template<class R, class NO>
-void BoundMatchOracle<R, NO>::removeFromLayer(const DgmPoint& p, const int layerIdx) {
-    //bool isDebug {false};
-    layerGraph[layerIdx].erase(p);
-    if (layerOracles[layerIdx]) {
-        layerOracles[layerIdx]->deletePoint(p);
-    }
-}
-
-// return true, if there exists an augmenting path from startVertex
-// in this case the path is returned in result.
-// startVertex must be an exposed vertex from L_1 (layer[0])
-template<class R, class NO>
-bool BoundMatchOracle<R, NO>::buildAugmentingPath(const DgmPoint startVertex, Path& result)
-{
-    //bool isDebug {false};
-    DgmPoint prevVertexA = startVertex;
-    result.clear();
-    result.push_back(startVertex);
-    size_t evenLayerIdx {1};
-    while ( evenLayerIdx < layerGraph.size() ) {
-    //for(size_t evenLayerIdx = 1; evenLayerIdx < layerGraph.size(); evenLayerIdx += 2) {
-        DgmPoint nextVertexB{0.0, 0.0, DgmPoint::DIAG, 1}; // next vertex from even layer
-        bool neighbFound = layerOracles[evenLayerIdx]->getNeighbour(prevVertexA, nextVertexB);
-        if (neighbFound) {
-           result.push_back(nextVertexB);
-           if ( layerGraph.size() == evenLayerIdx + 1) {
-                break;
-            } else {
-                 // nextVertexB must be matched with some vertex from the next odd
-                 // layer
-                DgmPoint nextVertexA {0.0, 0.0, DgmPoint::DIAG, 1};
-                if (!M.getMatchedVertex(nextVertexB, nextVertexA)) {
+            return result;
+
+        }
+
+
+        template<class R, class NO>
+        void BoundMatchOracle<R, NO>::removeFromLayer(const DgmPoint& p, const int layerIdx)
+        {
+            //bool isDebug {false};
+            layerGraph[layerIdx].erase(p);
+            if (layerOracles[layerIdx]) {
+                layerOracles[layerIdx]->deletePoint(p);
+            }
+        }
+
+        // return true, if there exists an augmenting path from startVertex
+        // in this case the path is returned in result.
+        // startVertex must be an exposed vertex from L_1 (layer[0])
+        template<class R, class NO>
+        bool BoundMatchOracle<R, NO>::buildAugmentingPath(const DgmPoint startVertex, Path& result)
+        {
+            //bool isDebug {false};
+            DgmPoint prevVertexA = startVertex;
+            result.clear();
+            result.push_back(startVertex);
+            size_t evenLayerIdx { 1 };
+            while (evenLayerIdx < layerGraph.size()) {
+                //for(size_t evenLayerIdx = 1; evenLayerIdx < layerGraph.size(); evenLayerIdx += 2) {
+                DgmPoint nextVertexB; // next vertex from even layer
+                bool neighbFound = layerOracles[evenLayerIdx]->getNeighbour(prevVertexA, nextVertexB);
+                if (neighbFound) {
+                    result.push_back(nextVertexB);
+                    if (layerGraph.size() == evenLayerIdx + 1) {
+                        break;
+                    } else {
+                        // nextVertexB must be matched with some vertex from the next odd
+                        // layer
+                        DgmPoint nextVertexA;
+                        if (!M.getMatchedVertex(nextVertexB, nextVertexA)) {
 #ifndef FOR_R_TDA
-                    std::cerr << "Vertices in even layers must be matched! Unmatched: ";
-                    std::cerr << nextVertexB << std::endl;
-                    std::cerr << evenLayerIdx << "; " << layerGraph.size() << std::endl;
+                            std::cerr << "Vertices in even layers must be matched! Unmatched: ";
+                            std::cerr << nextVertexB << std::endl;
+                            std::cerr << evenLayerIdx << "; " << layerGraph.size() << std::endl;
 #endif
-                    throw std::runtime_error("Unmatched vertex in even layer");
+                            throw std::runtime_error("Unmatched vertex in even layer");
+                        } else {
+                            assert(!(nextVertexA.getRealX() == 0 and nextVertexA.getRealY() == 0));
+                            result.push_back(nextVertexA);
+                            prevVertexA = nextVertexA;
+                            evenLayerIdx += 2;
+                            continue;
+                        }
+                    }
                 } else {
-                    assert( ! (nextVertexA.getRealX() == 0 and nextVertexA.getRealY() == 0) );
-                    result.push_back(nextVertexA);
-                    prevVertexA = nextVertexA;
-                    evenLayerIdx += 2;
-                    continue;
+                    // prevVertexA has no neighbours in the next layer,
+                    // backtrack
+                    if (evenLayerIdx == 1) {
+                        // startVertex is not connected to any vertices
+                        // in the next layer, augm. path doesn't exist
+                        removeFromLayer(startVertex, 0);
+                        return false;
+                    } else {
+                        assert(evenLayerIdx >= 3);
+                        assert(result.size() % 2 == 1);
+                        result.pop_back();
+                        DgmPoint prevVertexB = result.back();
+                        result.pop_back();
+                        removeFromLayer(prevVertexA, evenLayerIdx - 1);
+                        removeFromLayer(prevVertexB, evenLayerIdx - 2);
+                        // we should proceed from the previous odd layer
+                        assert(result.size() >= 1);
+                        prevVertexA = result.back();
+                        evenLayerIdx -= 2;
+                        continue;
+                    }
                 }
+            } // finished iterating over all layers
+            // remove all vertices in the augmenting paths
+            // the corresponding layers
+            for (size_t layerIdx = 0; layerIdx < result.size(); ++layerIdx) {
+                removeFromLayer(result[layerIdx], layerIdx);
             }
-        } else {
-            // prevVertexA has no neighbours in the next layer,
-            // backtrack
-            if (evenLayerIdx == 1) {
-                // startVertex is not connected to any vertices
-                // in the next layer, augm. path doesn't exist
-                removeFromLayer(startVertex, 0);
-                return false;
-            } else {
-                assert(evenLayerIdx >= 3);
-                assert(result.size() % 2 == 1);
-                result.pop_back();
-                DgmPoint prevVertexB = result.back();
-                result.pop_back();
-                removeFromLayer(prevVertexA, evenLayerIdx-1);
-                removeFromLayer(prevVertexB, evenLayerIdx-2);
-                // we should proceed from the previous odd layer
-                assert(result.size() >= 1);
-                prevVertexA = result.back();
-                evenLayerIdx -= 2;
-                continue;
-            }
+            return true;
         }
-    } // finished iterating over all layers
-    // remove all vertices in the augmenting paths
-    // the corresponding layers
-    for(size_t layerIdx = 0; layerIdx < result.size(); ++layerIdx) {
-        removeFromLayer(result[layerIdx], layerIdx);
-    }
-    return true;
-}
-
-
-
-
-template<class R, class NO>
-bool BoundMatchOracle<R, NO>::buildMatchingForThreshold(const Real r)
-{
-    //bool isDebug {false};
-    if (prevQueryValue > r) {
-        M.trimMatching(r);
-    }
-    prevQueryValue = r;
-    while(true) {
-        buildLayerGraph(r);
-        if (augPathExist) {
-            std::vector<Path> augmentingPaths;
-            DgmPointSet copyLG0;
-            for(DgmPoint p : layerGraph[0]) {
-                copyLG0.insert(p);
-            }
-            for(DgmPoint exposedVertex : copyLG0) {
-                Path augPath;
-                if (buildAugmentingPath(exposedVertex, augPath)) {
-                    augmentingPaths.push_back(augPath);
-                }
+
+
+        template<class R, class NO>
+        bool BoundMatchOracle<R, NO>::buildMatchingForThreshold(const Real r)
+        {
+            //bool isDebug {false};
+            if (prevQueryValue > r) {
+                M.trimMatching(r);
             }
-            if (augmentingPaths.empty()) {
+            prevQueryValue = r;
+            while (true) {
+                buildLayerGraph(r);
+                if (augPathExist) {
+                    std::vector<Path> augmentingPaths;
+                    DgmPointSet copyLG0;
+                    for (DgmPoint p : layerGraph[0]) {
+                        copyLG0.insert(p);
+                    }
+                    for (DgmPoint exposedVertex : copyLG0) {
+                        Path augPath;
+                        if (buildAugmentingPath(exposedVertex, augPath)) {
+                            augmentingPaths.push_back(augPath);
+                        }
+                    }
+                    if (augmentingPaths.empty()) {
 #ifndef FOR_R_TDA
-                std::cerr << "augmenting paths must exist, but were not found!" << std::endl;
+                        std::cerr << "augmenting paths must exist, but were not found!" << std::endl;
 #endif
-                throw std::runtime_error("bad epsilon?");
-            }
-            // swap all augmenting paths with matching to increase it
-            for(auto& augPath : augmentingPaths ) {
-                M.increase(augPath);
+                        throw std::runtime_error("bad epsilon?");
+                    }
+                    // swap all augmenting paths with matching to increase it
+                    for (auto& augPath : augmentingPaths) {
+                        M.increase(augPath);
+                    }
+                } else {
+                    return M.isPerfect();
+                }
             }
-        } else {
-            return M.isPerfect();
         }
-    }
-}
 
-template<class R, class NO>
-void BoundMatchOracle<R, NO>::printLayerGraph(void)
-{
+        template<class R, class NO>
+        void BoundMatchOracle<R, NO>::printLayerGraph(void)
+        {
 #ifdef DEBUG_BOUND_MATCH
-    for(auto& layer : layerGraph) {
-        std::cout << "{ ";
-        for(auto& p : layer) {
-            std::cout << p << "; ";
-        }
-        std::cout << "\b\b }" << std::endl;
-    }
+            for(auto& layer : layerGraph) {
+                std::cout << "{ ";
+                for(auto& p : layer) {
+                    std::cout << p << "; ";
+                }
+                std::cout << "\b\b }" << std::endl;
+            }
 #endif
-}
+        }
 
-template<class R, class NO>
-void BoundMatchOracle<R, NO>::buildLayerGraph(Real r)
-{
+        template<class R, class NO>
+        void BoundMatchOracle<R, NO>::buildLayerGraph(Real r)
+        {
 #ifdef VERBOSE_BOTTLENECK
-    std::cout << "Entered buildLayerGraph, r = " << r << std::endl;
+            std::cout << "Entered buildLayerGraph, r = " << r << std::endl;
 #endif
-    layerGraph.clear();
-    DgmPointSet L1 = M.getExposedVertices();
-    layerGraph.push_back(L1);
-    neighbOracle->rebuild(B, r);
-    size_t k = 0;
-    DgmPointSet layerNextEven;
-    DgmPointSet layerNextOdd;
-    bool exposedVerticesFound {false};
-    while(true) {
-        layerNextEven.clear();
-        for( auto p : layerGraph[k]) {
-            bool neighbFound;
-            DgmPoint neighbour {0.0, 0.0, DgmPoint::DIAG, 1};
-            if (useRangeSearch) {
-                std::vector<DgmPoint> neighbVec;
-                neighbOracle->getAllNeighbours(p, neighbVec);
-                neighbFound = !neighbVec.empty();
-                for(auto& neighbPt : neighbVec) {
-                    layerNextEven.insert(neighbPt);
-                    if (!exposedVerticesFound and M.isExposed(neighbPt))
-                        exposedVerticesFound = true;
-                }
-            } else {
-                while(true) {
-                    neighbFound = neighbOracle->getNeighbour(p, neighbour);
-                    if (neighbFound) {
-                        layerNextEven.insert(neighbour);
-                        neighbOracle->deletePoint(neighbour);
-                        if ((!exposedVerticesFound) && M.isExposed(neighbour)) {
-                            exposedVerticesFound = true;
+            layerGraph.clear();
+            DgmPointSet L1 = M.getExposedVertices();
+            layerGraph.push_back(L1);
+            neighbOracle->rebuild(B, r);
+            size_t k = 0;
+            DgmPointSet layerNextEven;
+            DgmPointSet layerNextOdd;
+            bool exposedVerticesFound { false };
+            while (true) {
+                layerNextEven.clear();
+                for (auto p : layerGraph[k]) {
+                    bool neighbFound;
+                    //DgmPoint neighbour {0.0, 0.0, DgmPoint::DIAG, 1};
+                    DgmPoint neighbour;
+                    if (useRangeSearch) {
+                        std::vector<DgmPoint> neighbVec;
+                        neighbOracle->getAllNeighbours(p, neighbVec);
+                        neighbFound = !neighbVec.empty();
+                        for (auto& neighbPt : neighbVec) {
+                            layerNextEven.insert(neighbPt);
+                            if (!exposedVerticesFound and M.isExposed(neighbPt)) {
+                                exposedVerticesFound = true;
+                            }
                         }
                     } else {
-                        break;
+                        while (true) {
+                            neighbFound = neighbOracle->getNeighbour(p, neighbour);
+                            if (neighbFound) {
+                                layerNextEven.insert(neighbour);
+                                neighbOracle->deletePoint(neighbour);
+                                if ((!exposedVerticesFound) && M.isExposed(neighbour)) {
+                                    exposedVerticesFound = true;
+                                }
+                            } else {
+                                break;
+                            }
+                        }
+                    } // without range search
+                } // all vertices from previous odd layer processed
+                if (layerNextEven.empty()) {
+                    augPathExist = false;
+                    break;
+                }
+                if (exposedVerticesFound) {
+                    for (auto it = layerNextEven.cbegin(); it != layerNextEven.cend();) {
+                        if (!M.isExposed(*it)) {
+                            layerNextEven.erase(it++);
+                        } else {
+                            ++it;
+                        }
+
                     }
+                    layerGraph.push_back(layerNextEven);
+                    augPathExist = true;
+                    break;
                 }
-            } // without range search
-        } // all vertices from previous odd layer processed
-        if (layerNextEven.empty()) {
-            augPathExist = false;
-            break;
+                layerGraph.push_back(layerNextEven);
+                M.getAllAdjacentVertices(layerNextEven, layerNextOdd);
+                layerGraph.push_back(layerNextOdd);
+                k += 2;
+            }
+            buildLayerOracles(r);
+            printLayerGraph();
         }
-        if (exposedVerticesFound) {
-            for(auto it = layerNextEven.cbegin(); it != layerNextEven.cend(); ) {
-                if ( ! M.isExposed(*it) ) {
-                    layerNextEven.erase(it++);
+
+        // create geometric oracles for each even layer
+        // odd layers have NULL in layerOracles
+        template<class R, class NO>
+        void BoundMatchOracle<R, NO>::buildLayerOracles(Real r)
+        {
+            //bool isDebug {false};
+            // free previously constructed oracles
+            layerOracles.clear();
+            for (size_t layerIdx = 0; layerIdx < layerGraph.size(); ++layerIdx) {
+                if (layerIdx % 2 == 1) {
+                    // even layer, build actual oracle
+                    layerOracles.emplace_back(new NeighbOracle(layerGraph[layerIdx], r, distEpsilon));
                 } else {
-                    ++it;
+                    // odd layer
+                    layerOracles.emplace_back(nullptr);
                 }
-
             }
-            layerGraph.push_back(layerNextEven);
-            augPathExist = true;
-            break;
-        }
-        layerGraph.push_back(layerNextEven);
-        M.getAllAdjacentVertices(layerNextEven, layerNextOdd);
-        layerGraph.push_back(layerNextOdd);
-        k += 2;
-    }
-    buildLayerOracles(r);
-    printLayerGraph();
- }
-
-// create geometric oracles for each even layer
-// odd layers have NULL in layerOracles
-template<class R, class NO>
-void BoundMatchOracle<R, NO>::buildLayerOracles(Real r)
-{
-    //bool isDebug {false};
-    // free previously constructed oracles
-    layerOracles.clear();
-    for(size_t layerIdx = 0; layerIdx < layerGraph.size(); ++layerIdx) {
-        if (layerIdx % 2 == 1) {
-            // even layer, build actual oracle
-            layerOracles.emplace_back(new NeighbOracle(layerGraph[layerIdx], r, distEpsilon));
-        } else {
-            // odd layer
-            layerOracles.emplace_back(nullptr);
         }
-    }
-}
 
-} // end namespace bt
+    } // end namespace bt
 } // end namespace hera
 #endif // HERA_BOUND_MATCH_HPP
diff --git a/geom_bottleneck/include/dnn/local/kd-tree.hpp b/geom_bottleneck/include/dnn/local/kd-tree.hpp
index 249fa55..5b84eb0 100644
--- a/geom_bottleneck/include/dnn/local/kd-tree.hpp
+++ b/geom_bottleneck/include/dnn/local/kd-tree.hpp
@@ -106,11 +106,11 @@ hera::bt::dnn::KDTree<T>::OrderTree
             size_t next_i = (i + 1) % traits.dimension();
 
             // Replace with a size condition instead?
-            if (b < m - 1)
+            if (m - b > 1)
                 q.push(KDTreeNode(b,   m, im, next_i));
             else if (b < m)
                 tree->parents_[im - 1] = im;
-            if (e > m + 2)
+            if (e - m > 2)
                 q.push(KDTreeNode(m+1, e, im, next_i));
             else if (e > m + 1)
                 tree->parents_[im + 1] = im;
@@ -210,7 +210,7 @@ void hera::bt::dnn::KDTree<T>::search(PointHandle q, ResultsFunctor& rf) const
         DistanceType diffToWasserPower = (diff > 0 ? 1.0 : -1.0) * fabs(diff);
 
         size_t       lm   = m + 1 + (e - (m+1))/2 - tree_.begin();
-        if ( subtree_n_elems[lm] > 0 ) {
+        if ( e > m + 1 and subtree_n_elems[lm] > 0 ) {
             if (e > m + 1 && diffToWasserPower  >= -D) {
                 nodes.push(KDTreeNode(m+1, e, i));
             }
diff --git a/geom_bottleneck/include/neighb_oracle.h b/geom_bottleneck/include/neighb_oracle.h
index c3751b3..91ebc0e 100644
--- a/geom_bottleneck/include/neighb_oracle.h
+++ b/geom_bottleneck/include/neighb_oracle.h
@@ -179,7 +179,7 @@ public:
             // store normal items in kd-tree
             for(const auto& g : allPoints) {
                 if (true) {
-                    kdtreeItems[trueIdx] = dnnItemIdx;
+                    kdtreeItems.push_back(dnnItemIdx);
                     // index of items is id of dnn-point
                     DnnPoint p(trueIdx);
                     p[0] = g.getRealX();
diff --git a/geom_bottleneck/tests/data/test_001_A b/geom_bottleneck/tests/data/test_001_A
new file mode 100644
index 0000000..8d04f96
--- /dev/null
+++ b/geom_bottleneck/tests/data/test_001_A
@@ -0,0 +1 @@
+1 2
diff --git a/geom_bottleneck/tests/data/test_001_B b/geom_bottleneck/tests/data/test_001_B
new file mode 100644
index 0000000..9290688
--- /dev/null
+++ b/geom_bottleneck/tests/data/test_001_B
@@ -0,0 +1 @@
+4 6
diff --git a/geom_bottleneck/tests/data/test_002_A b/geom_bottleneck/tests/data/test_002_A
new file mode 100644
index 0000000..8d04f96
--- /dev/null
+++ b/geom_bottleneck/tests/data/test_002_A
@@ -0,0 +1 @@
+1 2
diff --git a/geom_bottleneck/tests/data/test_002_B b/geom_bottleneck/tests/data/test_002_B
new file mode 100644
index 0000000..a4cec9b
--- /dev/null
+++ b/geom_bottleneck/tests/data/test_002_B
@@ -0,0 +1 @@
+1.1 2.2
diff --git a/geom_bottleneck/tests/data/test_003_A b/geom_bottleneck/tests/data/test_003_A
new file mode 100644
index 0000000..fdf0acd
--- /dev/null
+++ b/geom_bottleneck/tests/data/test_003_A
@@ -0,0 +1,2 @@
+1 2
+2 inf
diff --git a/geom_bottleneck/tests/data/test_003_B b/geom_bottleneck/tests/data/test_003_B
new file mode 100644
index 0000000..ac429f9
--- /dev/null
+++ b/geom_bottleneck/tests/data/test_003_B
@@ -0,0 +1,2 @@
+1.1 2.2
+4 inf
diff --git a/geom_bottleneck/tests/data/test_004_A b/geom_bottleneck/tests/data/test_004_A
new file mode 100644
index 0000000..fdf0acd
--- /dev/null
+++ b/geom_bottleneck/tests/data/test_004_A
@@ -0,0 +1,2 @@
+1 2
+2 inf
diff --git a/geom_bottleneck/tests/data/test_004_B b/geom_bottleneck/tests/data/test_004_B
new file mode 100644
index 0000000..5769823
--- /dev/null
+++ b/geom_bottleneck/tests/data/test_004_B
@@ -0,0 +1,3 @@
+1.1 2.2
+4 inf
+4 inf
diff --git a/geom_bottleneck/tests/data/test_005_A b/geom_bottleneck/tests/data/test_005_A
new file mode 100644
index 0000000..e28367d
--- /dev/null
+++ b/geom_bottleneck/tests/data/test_005_A
@@ -0,0 +1,6 @@
+1 2
+2 inf
+3 inf
+10 inf
+inf 21
+inf 44
diff --git a/geom_bottleneck/tests/data/test_005_B b/geom_bottleneck/tests/data/test_005_B
new file mode 100644
index 0000000..7f6032b
--- /dev/null
+++ b/geom_bottleneck/tests/data/test_005_B
@@ -0,0 +1,6 @@
+1.1 2.2
+4 inf
+4 inf
+12 inf
+inf 20
+inf 40
diff --git a/geom_bottleneck/tests/data/test_006_A b/geom_bottleneck/tests/data/test_006_A
new file mode 100644
index 0000000..b5184a5
--- /dev/null
+++ b/geom_bottleneck/tests/data/test_006_A
@@ -0,0 +1,7 @@
+1 2
+2 inf
+3 inf
+10 inf
+inf 21
+inf 44
+1 34
diff --git a/geom_bottleneck/tests/data/test_006_B b/geom_bottleneck/tests/data/test_006_B
new file mode 100644
index 0000000..0d07369
--- /dev/null
+++ b/geom_bottleneck/tests/data/test_006_B
@@ -0,0 +1,7 @@
+2 40
+1.1 2.2
+4 inf
+4 inf
+12 inf
+inf 20
+inf 40
diff --git a/geom_bottleneck/tests/data/test_007_A b/geom_bottleneck/tests/data/test_007_A
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/geom_bottleneck/tests/data/test_007_A
diff --git a/geom_bottleneck/tests/data/test_007_B b/geom_bottleneck/tests/data/test_007_B
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/geom_bottleneck/tests/data/test_007_B
diff --git a/geom_bottleneck/tests/data/test_008_A b/geom_bottleneck/tests/data/test_008_A
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/geom_bottleneck/tests/data/test_008_A
diff --git a/geom_bottleneck/tests/data/test_008_B b/geom_bottleneck/tests/data/test_008_B
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/geom_bottleneck/tests/data/test_008_B
diff --git a/geom_bottleneck/tests/data/test_009_A b/geom_bottleneck/tests/data/test_009_A
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/geom_bottleneck/tests/data/test_009_A
diff --git a/geom_bottleneck/tests/data/test_009_B b/geom_bottleneck/tests/data/test_009_B
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/geom_bottleneck/tests/data/test_009_B
diff --git a/geom_bottleneck/tests/data/test_010_A b/geom_bottleneck/tests/data/test_010_A
new file mode 100644
index 0000000..8d126f0
--- /dev/null
+++ b/geom_bottleneck/tests/data/test_010_A
@@ -0,0 +1,100 @@
+7.50638 7.78005
+0.991758 2.12178
+5.18481 6.61702
+6.14703 7.08581
+4.09936 4.83024
+3.79915 4.51283
+3.17645 3.75321
+0.61305 0.998622
+0.445643 1.13781
+6.38205 6.53669
+5.96392 6.44093
+7.21047 7.26005
+0.6703 1.26593
+0.529933 1.7027
+7.92495 8.83023
+2.1382 2.71695
+3.79209 4.5197
+5.23354 5.82214
+-0.395097 2.18831
+3.22028 3.88648
+5.56262 5.79949
+8.39623 9.37185
+2.7452 3.84539
+9.5022 10.2414
+1.01374 1.40504
+3.2029 3.89559
+7.61236 8.28485
+6.4371 6.909
+4.45616 5.35067
+1.57802 1.77895
+6.5991 7.76339
+6.66729 6.71714
+6.11898 6.57121
+2.60663 4.36396
+-0.259613 1.17683
+7.72857 9.48862
+4.68398 5.51521
+4.87447 5.4233
+6.86301 6.88244
+4.17814 4.25886
+8.70558 9.72902
+4.40873 4.57389
+6.1824 7.05049
+7.97557 8.79739
+8.52591 8.6985
+5.15336 5.27796
+9.70144 9.77031
+0.561778 1.39045
+9.32553 10.2456
+7.01495 7.74521
+6.83355 7.28255
+1.96721 3.01504
+5.78411 7.59464
+5.64012 6.10721
+3.7249 5.17086
+4.33297 5.91657
+7.11793 7.2545
+5.109 6.76878
+3.02787 3.04077
+0.999365 2.05566
+8.81392 8.9086
+6.20106 6.78943
+6.7987 7.05794
+0.438805 0.449602
+8.71793 9.79853
+-0.150282 0.51997
+5.72257 5.93156
+5.71098 6.09535
+9.0378 9.45942
+0.534987 0.872885
+7.72276 8.57754
+9.26069 9.40289
+4.148 4.80519
+1.04579 3.18109
+0.259767 0.93215
+0.250608 0.511569
+4.88108 5.62239
+4.6731 5.3348
+7.84979 7.93545
+0.912521 1.48142
+4.82553 5.38108
+6.02179 7.61665
+3.85848 6.39418
+5.10754 6.02118
+1.71956 1.86238
+6.47336 6.74034
+-0.0371018 0.212738
+3.97259 4.15465
+2.17413 3.20188
+4.49098 6.09812
+6.62445 7.84196
+6.57541 7.432
+6.81052 9.6653
+3.67502 4.69734
+3.92378 4.14743
+5.93127 6.46154
+0.63424 0.705454
+7.60129 9.23263
+4.23064 4.74575
+0.397705 1.24458
diff --git a/geom_bottleneck/tests/data/test_010_B b/geom_bottleneck/tests/data/test_010_B
new file mode 100644
index 0000000..852799d
--- /dev/null
+++ b/geom_bottleneck/tests/data/test_010_B
@@ -0,0 +1,100 @@
+5.8232 6.36308
+2.16066 2.48668
+2.38754 4.91418
+4.77403 5.43982
+0.291412 1.11147
+3.77337 5.2686
+8.31344 9.05384
+0.734064 1.14844
+7.57606 7.8521
+3.16719 3.86953
+2.55072 2.64932
+9.51707 9.6071
+0.304643 2.41784
+2.79925 3.28234
+5.32901 7.7576
+5.19903 6.30449
+1.87819 2.99454
+8.92272 9.67105
+4.62414 5.05592
+4.0079 4.64148
+2.26369 3.44573
+2.69335 3.13426
+1.90706 2.42652
+2.68113 2.79133
+1.41065 1.56018
+6.55282 7.18725
+5.72986 6.37151
+7.26968 8.22623
+3.32643 3.73606
+3.77325 4.63115
+1.05457 1.83651
+8.6815 8.85251
+3.91285 4.17139
+0.380936 0.842109
+7.33227 7.69334
+8.45635 8.923
+4.1769 5.08373
+0.501374 2.23328
+-0.161782 1.28908
+3.44716 3.4662
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+8.71416 9.3781
+6.3034 8.62893
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+0.862088 0.960371
+5.12963 5.20203
+1.58695 2.0452
+6.57698 6.63228
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+-0.0992804 0.667302
+4.7489 4.80059
+0.0280559 1.90471
+6.7462 8.27612
+0.915652 1.30007
+2.79556 3.77404
+9.87989 10.0722
+9.39105 9.84229
+7.57235 9.37122
+5.09426 6.44266
+6.3994 6.72037
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+6.9079 7.88049
+4.2003 4.41933
+-1.72447 2.25877
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+7.42302 8.26286
+6.66905 7.18496
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+2.33178 2.37845
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+-0.181569 1.36821
+6.22158 6.55787
+4.67115 5.16995
+0.806432 0.820738
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+6.91238 7.1654
+0.483084 1.55006
+2.66058 3.86294
+5.93347 6.06085
+7.40514 9.05071
diff --git a/geom_bottleneck/tests/data/test_011_A b/geom_bottleneck/tests/data/test_011_A
new file mode 100644
index 0000000..164b71d
--- /dev/null
+++ b/geom_bottleneck/tests/data/test_011_A
@@ -0,0 +1,200 @@
+0.471299 1.89241
+2.82136 3.97846
+8.81923 9.20678
+1.42474 1.65425
+8.36963 9.16097
+-0.236476 0.692489
+7.57182 8.06148
+2.89878 3.21958
+7.1285 7.51707
+5.75496 7.09461
+6.00081 6.10914
+9.60869 9.64676
+7.42889 8.97174
+7.26061 8.55944
+2.41226 2.5146
+8.5616 9.44847
+7.4946 8.86962
+5.42244 6.98028
+9.62386 9.96039
+7.70591 9.92849
+1.34119 3.2048
+3.92169 5.15228
+8.82955 9.60318
+7.94213 9.39997
+2.6716 4.02057
+0.375206 0.497663
+1.94572 3.65599
+1.03366 1.46356
+8.91855 10.1838
+7.11087 8.64425
+2.63266 2.78706
+8.93611 10.2943
+8.51999 9.28356
+1.31436 3.13725
+1.92871 4.00178
+8.30503 8.45555
+2.58739 2.82076
+3.20419 5.29453
+7.4015 8.13225
+9.07991 9.74729
+0.822366 0.938371
+2.90508 4.29367
+4.32385 5.4787
+3.63054 4.6918
+8.52962 9.87004
+1.16994 2.39465
+2.61903 3.33772
+4.15505 4.52942
+8.7068 9.66579
+8.10373 9.31351
+0.7954 1.23001
+7.82253 8.69505
+4.59616 5.91996
+1.02032 1.93931
+6.98421 8.46017
+8.42263 11.3447
+2.63444 3.7158
+7.49059 9.1137
+-0.122109 1.41074
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diff --git a/geom_bottleneck/tests/data/test_011_B b/geom_bottleneck/tests/data/test_011_B
new file mode 100644
index 0000000..761943d
--- /dev/null
+++ b/geom_bottleneck/tests/data/test_011_B
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diff --git a/geom_bottleneck/tests/data/test_012_A b/geom_bottleneck/tests/data/test_012_A
new file mode 100644
index 0000000..094c6e0
--- /dev/null
+++ b/geom_bottleneck/tests/data/test_012_A
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diff --git a/geom_bottleneck/tests/data/test_012_B b/geom_bottleneck/tests/data/test_012_B
new file mode 100644
index 0000000..5f6e43c
--- /dev/null
+++ b/geom_bottleneck/tests/data/test_012_B
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new file mode 100644
index 0000000..51cff1c
--- /dev/null
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new file mode 100644
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diff --git a/geom_bottleneck/tests/data/test_340_B b/geom_bottleneck/tests/data/test_340_B
new file mode 100644
index 0000000..0e3fa2a
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_341_A b/geom_bottleneck/tests/data/test_341_A
new file mode 100644
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diff --git a/geom_bottleneck/tests/data/test_341_B b/geom_bottleneck/tests/data/test_341_B
new file mode 100644
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diff --git a/geom_bottleneck/tests/data/test_342_A b/geom_bottleneck/tests/data/test_342_A
new file mode 100644
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diff --git a/geom_bottleneck/tests/data/test_342_B b/geom_bottleneck/tests/data/test_342_B
new file mode 100644
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diff --git a/geom_bottleneck/tests/data/test_343_A b/geom_bottleneck/tests/data/test_343_A
new file mode 100644
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diff --git a/geom_bottleneck/tests/data/test_343_B b/geom_bottleneck/tests/data/test_343_B
new file mode 100644
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diff --git a/geom_bottleneck/tests/data/test_344_A b/geom_bottleneck/tests/data/test_344_A
new file mode 100644
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diff --git a/geom_bottleneck/tests/data/test_344_B b/geom_bottleneck/tests/data/test_344_B
new file mode 100644
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diff --git a/geom_bottleneck/tests/data/test_345_A b/geom_bottleneck/tests/data/test_345_A
new file mode 100644
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diff --git a/geom_bottleneck/tests/data/test_345_B b/geom_bottleneck/tests/data/test_345_B
new file mode 100644
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diff --git a/geom_bottleneck/tests/data/test_346_A b/geom_bottleneck/tests/data/test_346_A
new file mode 100644
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diff --git a/geom_bottleneck/tests/data/test_346_B b/geom_bottleneck/tests/data/test_346_B
new file mode 100644
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diff --git a/geom_bottleneck/tests/data/test_347_A b/geom_bottleneck/tests/data/test_347_A
new file mode 100644
index 0000000..0cfd08b
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_347_B b/geom_bottleneck/tests/data/test_347_B
new file mode 100644
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diff --git a/geom_bottleneck/tests/data/test_348_A b/geom_bottleneck/tests/data/test_348_A
new file mode 100644
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diff --git a/geom_bottleneck/tests/data/test_348_B b/geom_bottleneck/tests/data/test_348_B
new file mode 100644
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diff --git a/geom_bottleneck/tests/data/test_349_A b/geom_bottleneck/tests/data/test_349_A
new file mode 100644
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diff --git a/geom_bottleneck/tests/data/test_349_B b/geom_bottleneck/tests/data/test_349_B
new file mode 100644
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diff --git a/geom_bottleneck/tests/data/test_350_A b/geom_bottleneck/tests/data/test_350_A
new file mode 100644
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diff --git a/geom_bottleneck/tests/data/test_350_B b/geom_bottleneck/tests/data/test_350_B
new file mode 100644
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diff --git a/geom_bottleneck/tests/data/test_351_A b/geom_bottleneck/tests/data/test_351_A
new file mode 100644
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new file mode 100644
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diff --git a/geom_bottleneck/tests/data/test_352_A b/geom_bottleneck/tests/data/test_352_A
new file mode 100644
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diff --git a/geom_bottleneck/tests/data/test_352_B b/geom_bottleneck/tests/data/test_352_B
new file mode 100644
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diff --git a/geom_bottleneck/tests/data/test_353_A b/geom_bottleneck/tests/data/test_353_A
new file mode 100644
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new file mode 100644
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new file mode 100644
index 0000000..b867cf5
--- /dev/null
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
index 0000000..a81f6cb
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new file mode 100644
index 0000000..0ea6eda
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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diff --git a/geom_bottleneck/tests/data/test_610_A b/geom_bottleneck/tests/data/test_610_A
new file mode 100644
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new file mode 100644
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--- /dev/null
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
index 0000000..9569b49
--- /dev/null
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new file mode 100644
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new file mode 100644
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new file mode 100644
index 0000000..d1b55eb
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new file mode 100644
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new file mode 100644
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new file mode 100644
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--- /dev/null
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
index 0000000..57ea673
--- /dev/null
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new file mode 100644
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--- /dev/null
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new file mode 100644
index 0000000..92fae09
--- /dev/null
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
index 0000000..7088d54
--- /dev/null
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new file mode 100644
index 0000000..5dd4204
--- /dev/null
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new file mode 100644
index 0000000..47e934b
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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diff --git a/geom_bottleneck/tests/data/test_841_B b/geom_bottleneck/tests/data/test_841_B
new file mode 100644
index 0000000..9775dd8
--- /dev/null
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new file mode 100644
index 0000000..49124dc
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_842_B b/geom_bottleneck/tests/data/test_842_B
new file mode 100644
index 0000000..36715f2
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_843_A b/geom_bottleneck/tests/data/test_843_A
new file mode 100644
index 0000000..aa5cea9
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_843_B b/geom_bottleneck/tests/data/test_843_B
new file mode 100644
index 0000000..b14eed6
--- /dev/null
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new file mode 100644
index 0000000..753b2fc
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_844_B b/geom_bottleneck/tests/data/test_844_B
new file mode 100644
index 0000000..373d26c
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_845_A b/geom_bottleneck/tests/data/test_845_A
new file mode 100644
index 0000000..2015fbb
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_845_B b/geom_bottleneck/tests/data/test_845_B
new file mode 100644
index 0000000..b053f52
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_846_A b/geom_bottleneck/tests/data/test_846_A
new file mode 100644
index 0000000..520c6d4
--- /dev/null
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new file mode 100644
index 0000000..3046f20
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_847_A b/geom_bottleneck/tests/data/test_847_A
new file mode 100644
index 0000000..ee5c8c1
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_847_B b/geom_bottleneck/tests/data/test_847_B
new file mode 100644
index 0000000..de6f45a
--- /dev/null
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new file mode 100644
index 0000000..e9e603b
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diff --git a/geom_bottleneck/tests/data/test_848_B b/geom_bottleneck/tests/data/test_848_B
new file mode 100644
index 0000000..00005be
--- /dev/null
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new file mode 100644
index 0000000..7938a96
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_849_B b/geom_bottleneck/tests/data/test_849_B
new file mode 100644
index 0000000..21da75d
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_850_A b/geom_bottleneck/tests/data/test_850_A
new file mode 100644
index 0000000..dfb2165
--- /dev/null
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new file mode 100644
index 0000000..573788d
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diff --git a/geom_bottleneck/tests/data/test_851_A b/geom_bottleneck/tests/data/test_851_A
new file mode 100644
index 0000000..0a2f88e
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_851_B b/geom_bottleneck/tests/data/test_851_B
new file mode 100644
index 0000000..8e4b97e
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_852_A b/geom_bottleneck/tests/data/test_852_A
new file mode 100644
index 0000000..3d8f706
--- /dev/null
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@@ -0,0 +1,50 @@
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diff --git a/geom_bottleneck/tests/data/test_852_B b/geom_bottleneck/tests/data/test_852_B
new file mode 100644
index 0000000..9de826f
--- /dev/null
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new file mode 100644
index 0000000..bcf5afe
--- /dev/null
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new file mode 100644
index 0000000..d294f05
--- /dev/null
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new file mode 100644
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--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_854_B b/geom_bottleneck/tests/data/test_854_B
new file mode 100644
index 0000000..aa949eb
--- /dev/null
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new file mode 100644
index 0000000..ab7ec0b
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diff --git a/geom_bottleneck/tests/data/test_855_B b/geom_bottleneck/tests/data/test_855_B
new file mode 100644
index 0000000..be6ff94
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_856_A b/geom_bottleneck/tests/data/test_856_A
new file mode 100644
index 0000000..3cbfae3
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new file mode 100644
index 0000000..ec34ae9
--- /dev/null
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new file mode 100644
index 0000000..6bbbf0b
--- /dev/null
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new file mode 100644
index 0000000..2d0ac7d
--- /dev/null
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new file mode 100644
index 0000000..1d3b9ad
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new file mode 100644
index 0000000..a982114
--- /dev/null
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new file mode 100644
index 0000000..24bd533
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new file mode 100644
index 0000000..ac8c3b7
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new file mode 100644
index 0000000..bef7e26
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diff --git a/geom_bottleneck/tests/data/test_860_B b/geom_bottleneck/tests/data/test_860_B
new file mode 100644
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diff --git a/geom_bottleneck/tests/data/test_861_A b/geom_bottleneck/tests/data/test_861_A
new file mode 100644
index 0000000..1058733
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diff --git a/geom_bottleneck/tests/data/test_861_B b/geom_bottleneck/tests/data/test_861_B
new file mode 100644
index 0000000..a6a11d7
--- /dev/null
+++ b/geom_bottleneck/tests/data/test_861_B
@@ -0,0 +1,100 @@
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diff --git a/geom_bottleneck/tests/data/test_862_A b/geom_bottleneck/tests/data/test_862_A
new file mode 100644
index 0000000..d37d3ef
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_862_B b/geom_bottleneck/tests/data/test_862_B
new file mode 100644
index 0000000..a18168e
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_863_A b/geom_bottleneck/tests/data/test_863_A
new file mode 100644
index 0000000..011d452
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_863_B b/geom_bottleneck/tests/data/test_863_B
new file mode 100644
index 0000000..d9daaae
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_864_A b/geom_bottleneck/tests/data/test_864_A
new file mode 100644
index 0000000..f82ed50
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_864_B b/geom_bottleneck/tests/data/test_864_B
new file mode 100644
index 0000000..0b56a95
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_865_A b/geom_bottleneck/tests/data/test_865_A
new file mode 100644
index 0000000..7453ead
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_865_B b/geom_bottleneck/tests/data/test_865_B
new file mode 100644
index 0000000..265e3bd
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_866_A b/geom_bottleneck/tests/data/test_866_A
new file mode 100644
index 0000000..a05ad71
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_866_B b/geom_bottleneck/tests/data/test_866_B
new file mode 100644
index 0000000..c3e0b3a
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_867_A b/geom_bottleneck/tests/data/test_867_A
new file mode 100644
index 0000000..0e5ca13
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_867_B b/geom_bottleneck/tests/data/test_867_B
new file mode 100644
index 0000000..c8eb5e0
--- /dev/null
+++ b/geom_bottleneck/tests/data/test_867_B
@@ -0,0 +1,100 @@
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diff --git a/geom_bottleneck/tests/data/test_868_A b/geom_bottleneck/tests/data/test_868_A
new file mode 100644
index 0000000..0a0fad2
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_868_B b/geom_bottleneck/tests/data/test_868_B
new file mode 100644
index 0000000..00c87b2
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_869_A b/geom_bottleneck/tests/data/test_869_A
new file mode 100644
index 0000000..fa16527
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_869_B b/geom_bottleneck/tests/data/test_869_B
new file mode 100644
index 0000000..7ffd8c9
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_870_A b/geom_bottleneck/tests/data/test_870_A
new file mode 100644
index 0000000..72422f7
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_870_B b/geom_bottleneck/tests/data/test_870_B
new file mode 100644
index 0000000..db4847d
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_871_A b/geom_bottleneck/tests/data/test_871_A
new file mode 100644
index 0000000..08ce8b2
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_871_B b/geom_bottleneck/tests/data/test_871_B
new file mode 100644
index 0000000..23c1dd8
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_872_A b/geom_bottleneck/tests/data/test_872_A
new file mode 100644
index 0000000..9647bed
--- /dev/null
+++ b/geom_bottleneck/tests/data/test_872_A
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diff --git a/geom_bottleneck/tests/data/test_872_B b/geom_bottleneck/tests/data/test_872_B
new file mode 100644
index 0000000..1c58840
--- /dev/null
+++ b/geom_bottleneck/tests/data/test_872_B
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diff --git a/geom_bottleneck/tests/data/test_873_A b/geom_bottleneck/tests/data/test_873_A
new file mode 100644
index 0000000..d9e1da9
--- /dev/null
+++ b/geom_bottleneck/tests/data/test_873_A
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diff --git a/geom_bottleneck/tests/data/test_873_B b/geom_bottleneck/tests/data/test_873_B
new file mode 100644
index 0000000..a9f3ea1
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_874_A b/geom_bottleneck/tests/data/test_874_A
new file mode 100644
index 0000000..4d66819
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_874_B b/geom_bottleneck/tests/data/test_874_B
new file mode 100644
index 0000000..2142cbc
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_875_A b/geom_bottleneck/tests/data/test_875_A
new file mode 100644
index 0000000..1748357
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_875_B b/geom_bottleneck/tests/data/test_875_B
new file mode 100644
index 0000000..3a5860e
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_876_A b/geom_bottleneck/tests/data/test_876_A
new file mode 100644
index 0000000..1b65f8d
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_876_B b/geom_bottleneck/tests/data/test_876_B
new file mode 100644
index 0000000..62102e9
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_877_A b/geom_bottleneck/tests/data/test_877_A
new file mode 100644
index 0000000..c60479b
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_877_B b/geom_bottleneck/tests/data/test_877_B
new file mode 100644
index 0000000..728311d
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_878_A b/geom_bottleneck/tests/data/test_878_A
new file mode 100644
index 0000000..c8d0724
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/test_878_B b/geom_bottleneck/tests/data/test_878_B
new file mode 100644
index 0000000..32723ce
--- /dev/null
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new file mode 100644
index 0000000..71b89ed
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new file mode 100644
index 0000000..8d126f0
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/ws_tests/test_100_A.pd.dipha b/geom_bottleneck/tests/data/ws_tests/test_100_A.pd.dipha
new file mode 100644
index 0000000..e94f5fe
--- /dev/null
+++ b/geom_bottleneck/tests/data/ws_tests/test_100_A.pd.dipha
diff --git a/geom_bottleneck/tests/data/ws_tests/test_100_B b/geom_bottleneck/tests/data/ws_tests/test_100_B
new file mode 100644
index 0000000..852799d
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/ws_tests/test_100_B.pd.dipha b/geom_bottleneck/tests/data/ws_tests/test_100_B.pd.dipha
new file mode 100644
index 0000000..25d6734
--- /dev/null
+++ b/geom_bottleneck/tests/data/ws_tests/test_100_B.pd.dipha
diff --git a/geom_bottleneck/tests/data/ws_tests/test_200_A b/geom_bottleneck/tests/data/ws_tests/test_200_A
new file mode 100644
index 0000000..164b71d
--- /dev/null
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diff --git a/geom_bottleneck/tests/data/ws_tests/test_200_B b/geom_bottleneck/tests/data/ws_tests/test_200_B
new file mode 100644
index 0000000..761943d
--- /dev/null
+++ b/geom_bottleneck/tests/data/ws_tests/test_200_B
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diff --git a/geom_bottleneck/tests/data/ws_tests/test_5000_A b/geom_bottleneck/tests/data/ws_tests/test_5000_A
new file mode 100644
index 0000000..094c6e0
--- /dev/null
+++ b/geom_bottleneck/tests/data/ws_tests/test_5000_A
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diff --git a/geom_bottleneck/tests/data/ws_tests/test_5000_B b/geom_bottleneck/tests/data/ws_tests/test_5000_B
new file mode 100644
index 0000000..5f6e43c
--- /dev/null
+++ b/geom_bottleneck/tests/data/ws_tests/test_5000_B
@@ -0,0 +1,5000 @@
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diff --git a/geom_bottleneck/tests/data/ws_tests/test_5_A b/geom_bottleneck/tests/data/ws_tests/test_5_A
new file mode 100644
index 0000000..51cff1c
--- /dev/null
+++ b/geom_bottleneck/tests/data/ws_tests/test_5_A
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diff --git a/geom_bottleneck/tests/data/ws_tests/test_5_A.pd.dipha b/geom_bottleneck/tests/data/ws_tests/test_5_A.pd.dipha
new file mode 100644
index 0000000..be84441
--- /dev/null
+++ b/geom_bottleneck/tests/data/ws_tests/test_5_A.pd.dipha
diff --git a/geom_bottleneck/tests/data/ws_tests/test_5_B b/geom_bottleneck/tests/data/ws_tests/test_5_B
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--- /dev/null
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diff --git a/geom_bottleneck/tests/data/ws_tests/test_diag1_A b/geom_bottleneck/tests/data/ws_tests/test_diag1_A
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diff --git a/geom_bottleneck/tests/data/ws_tests/test_diag2_A b/geom_bottleneck/tests/data/ws_tests/test_diag2_A
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new file mode 100644
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diff --git a/geom_bottleneck/tests/data/ws_tests/test_diag2_B b/geom_bottleneck/tests/data/ws_tests/test_diag2_B
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diff --git a/geom_bottleneck/tests/data/ws_tests/test_diag3_A.pd.dipha b/geom_bottleneck/tests/data/ws_tests/test_diag3_A.pd.dipha
new file mode 100644
index 0000000..0dbfb89
--- /dev/null
+++ b/geom_bottleneck/tests/data/ws_tests/test_diag3_A.pd.dipha
diff --git a/geom_bottleneck/tests/data/ws_tests/test_diag3_B b/geom_bottleneck/tests/data/ws_tests/test_diag3_B
new file mode 100644
index 0000000..bb8655a
--- /dev/null
+++ b/geom_bottleneck/tests/data/ws_tests/test_diag3_B
@@ -0,0 +1,193 @@
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diff --git a/geom_bottleneck/tests/data/ws_tests/test_diag3_B.pd.dipha b/geom_bottleneck/tests/data/ws_tests/test_diag3_B.pd.dipha
new file mode 100644
index 0000000..3fbfd90
--- /dev/null
+++ b/geom_bottleneck/tests/data/ws_tests/test_diag3_B.pd.dipha
diff --git a/geom_bottleneck/tests/data/ws_tests/test_list.txt b/geom_bottleneck/tests/data/ws_tests/test_list.txt
new file mode 100644
index 0000000..27340d8
--- /dev/null
+++ b/geom_bottleneck/tests/data/ws_tests/test_list.txt
@@ -0,0 +1,21 @@
+test_5_A test_5_B 1.0 -1.0 4.320655
+test_5_A test_5_B 2.0 -1.0 1.7323016335246
+test_5_A test_5_B 3.0 -1.0 1.396199948
+test_5_A test_5_B 1.0 1.0 6.603006
+test_5_A test_5_B 2.0 1.0 2.73426775794691
+test_5_A test_5_B 3.0 1.0 2.13072755216204
+test_5_A test_5_B 1.0 2.0 5.1888795679967
+test_5_A test_5_B 2.0 2.0 2.26649677575857
+test_5_A test_5_B 3.0 2.0 1.86434961396614
+test_100_A test_100_B 1.0 -1.0 27.5573259
+test_100_A test_100_B 2.0 -1.0 3.38004972483238
+test_100_A test_100_B 3.0 -1.0 1.9045814702967
+test_100_A test_100_B 1.0 1.0 40.4375855
+test_100_A test_100_B 2.0 1.0 4.75252460986668
+test_100_A test_100_B 3.0 1.0 2.556594741819
+test_100_A test_100_B 1.0 2.0 31.7187555735287
+test_100_A test_100_B 2.0 2.0 3.81132239777023
+test_100_A test_100_B 3.0 2.0 2.09695346034248
+test_diag1_A test_diag1_B 1.0 -1.0 0.0
+test_diag2_A test_diag2_B 1.0 -1.0 0.0
+test_diag3_A test_diag3_B 1.0 -1.0 0.0
diff --git a/geom_bottleneck/tests/test_hera_bottleneck.cpp b/geom_bottleneck/tests/test_hera_bottleneck.cpp
index f3b160b..922a4b0 100644
--- a/geom_bottleneck/tests/test_hera_bottleneck.cpp
+++ b/geom_bottleneck/tests/test_hera_bottleneck.cpp
@@ -24,37 +24,43 @@ struct TestFromFileCase {
 
     std::string file_1;
     std::string file_2;
-    double q;
-    double internal_p;
+    double delta;
     double answer;
+    std::vector<std::pair<int, int>> longest_edges;
+    double internal_p { hera::get_infinity<double>() };
 
-    TestFromFileCase(std::string s)
+    TestFromFileCase(const std::string& s)
     {
         auto tokens = split_on_delim(s, ' ');
-        assert(tokens.size() == 5);
-
-        file_1 = tokens.at(0);
-        file_2 = tokens.at(1);
-        q = std::stod(tokens.at(2));
-        internal_p = std::stod(tokens.at(3));
-        answer = std::stod(tokens.at(4));
-
-        if ( q < 1.0 or std::isinf(q) or
-            (internal_p != hera::get_infinity<double>() and internal_p < 1.0)) {
-            throw std::runtime_error("Bad line in test_list.txt");
+//        assert(tokens.size() > 5);
+        assert(tokens.size() % 2 == 0);
+
+        size_t token_idx = 0;
+        file_1 = tokens.at(token_idx++);
+        file_2 = tokens.at(token_idx++);
+        delta = std::stod(tokens.at(token_idx++));
+        answer = std::stod(tokens.at(token_idx++));
+        while(token_idx < tokens.size() - 1) {
+            int v1 = std::stoi(tokens[token_idx++]);
+            int v2 = std::stoi(tokens[token_idx++]);
+            longest_edges.emplace_back(v1, v2);
         }
     }
 };
 
 std::ostream& operator<<(std::ostream& out, const TestFromFileCase& s)
 {
-    out << "[" << s.file_1 << ", " << s.file_2 << ", q = " << s.q << ", norm = ";
+    out << "[" << s.file_1 << ", " << s.file_2 << ", norm = ";
     if (s.internal_p != hera::get_infinity()) {
         out << s.internal_p;
     } else {
         out << "infinity";
     }
-    out << ", answer = " << s.answer << "]";
+    out << ", answer = " << s.answer << ", edges { ";
+    for(auto e : s.longest_edges) {
+        out << e.first << " <-> " << e.second << ", ";
+    }
+    out << "} ]";
     return out;
 }
 
@@ -444,3 +450,134 @@ TEST_CASE("infinity points", "bottleneckDistApprox")
 
 }
 
+TEST_CASE("longest edge", "bottleneckDistApprox")
+{
+    PairVector diagram_A, diagram_B;
+    hera::bt::MatchingEdge<double> longest_edge_1;
+    hera::bt::MatchingEdge<double> longest_edge_2;
+    double delta = 0.01;
+
+    SECTION("trivial: two empty diagrams") {
+        // should not fail
+        REQUIRE(  0.0 == hera::bottleneckDistApprox<>(diagram_A, diagram_B, delta, longest_edge_1, true));
+    }
+
+    SECTION("trivial: one empty diagram, one single-point diagram") {
+
+        diagram_A.emplace_back(1.0, 2.0);
+
+        double d1 = hera::bottleneckDistApprox<>(diagram_A, diagram_B, delta, longest_edge_1, true);
+        REQUIRE(longest_edge_1.first.getRealX() == 1.0);
+        REQUIRE(longest_edge_1.first.getRealY() == 2.0);
+
+        double d2 = hera::bottleneckDistApprox<>(diagram_B, diagram_A, delta, longest_edge_2, true);
+        REQUIRE(longest_edge_2.second.getRealX() == 1.0);
+        REQUIRE(longest_edge_2.second.getRealY() == 2.0);
+    }
+
+    SECTION("trivial: two single-point diagrams-1") {
+
+        diagram_A.emplace_back(10.0, 20.0);
+        diagram_B.emplace_back(11.0, 19.0);
+
+        double d1 = hera::bottleneckDistApprox<>(diagram_A, diagram_B, delta, longest_edge_1, true);
+
+        REQUIRE(longest_edge_1.first.getRealX() == 10.0);
+        REQUIRE(longest_edge_1.first.getRealY() == 20.0);
+
+        REQUIRE(longest_edge_1.second.getRealX() == 11.0);
+        REQUIRE(longest_edge_1.second.getRealY() == 19.0);
+
+//        double d2 = hera::bottleneckDistApprox<>(diagram_B, diagram_A, delta, longest_edge_2, true);
+//        REQUIRE(longest_edge_2.second.getRealX() == 1.0);
+//        REQUIRE(longest_edge_2.second.getRealY() == 2.0);
+//        double d1 = hera::bottleneckDistApprox<>(diagram_A, diagram_B, delta);
+//        double d2 = hera::bottleneckDistApprox<>(diagram_B, diagram_A, delta);
+//        double correct_answer = 3.0;
+//        REQUIRE(  fabs(d1 - correct_answer) <= delta * correct_answer);
+//        REQUIRE(  fabs(d2 - correct_answer) <= delta * correct_answer);
+    }
+//
+//    SECTION("trivial: two single-point diagrams-2") {
+//
+//        diagram_A.emplace_back(10.0, 20.0);  // (5, 5)
+//        diagram_B.emplace_back(130.0, 138.0);  // (4, 4)
+//
+//        double d1 = hera::bottleneckDistApprox<>(diagram_A, diagram_B, delta);
+//        double d2 = hera::bottleneckDistApprox<>(diagram_B, diagram_A, delta);
+//        double correct_answer = 5.0;
+//        REQUIRE(  fabs(d1 - correct_answer) <= delta * correct_answer );
+//        REQUIRE(  fabs(d2 - correct_answer) <= delta * correct_answer );
+//
+//    }
+
+}
+
+TEST_CASE("file cases", "bottleneck_dist")
+{
+    PairVector diagram_A, diagram_B;
+    hera::bt::MatchingEdge<double> longest_edge;
+
+    const char* file_name = "../tests/data/test_list.txt";
+    std::string dir_prefix = "../tests/data/";
+    std::ifstream f;
+    f.open(file_name);
+    std::vector<TestFromFileCase> test_params;
+    std::string s;
+    while (std::getline(f, s)) {
+        test_params.emplace_back(s);
+        //std::cout << "read test params " << test_params.back() << std::endl;
+    }
+
+    SECTION("from file:") {
+
+        for (const auto& ts : test_params) {
+            bool read_file_A = hera::readDiagramPointSet(dir_prefix + ts.file_1, diagram_A);
+            bool read_file_B = hera::readDiagramPointSet(dir_prefix + ts.file_2, diagram_B);
+            REQUIRE(read_file_A);
+            REQUIRE(read_file_B);
+
+            double hera_answer = hera::bottleneckDistApprox(diagram_A, diagram_B, ts.delta, longest_edge, true);
+            std::pair<int, int> hera_le { longest_edge.first.get_user_id(), longest_edge.second.get_user_id() };
+
+            REQUIRE((hera_answer == ts.answer or fabs(hera_answer - ts.answer) <= ts.delta * hera_answer));
+            REQUIRE((ts.longest_edges.empty() or
+                     std::find(ts.longest_edges.begin(), ts.longest_edges.end(), hera_le) != ts.longest_edges.end()));
+
+            double hera_answer_exact = hera::bottleneckDistExact(diagram_A, diagram_B, 14, longest_edge, true);
+            std::pair<int, int> hera_le_exact { longest_edge.first.get_user_id(), longest_edge.second.get_user_id() };
+
+            REQUIRE((hera_answer_exact == ts.answer or
+                     fabs(hera_answer_exact - ts.answer) <= 0.0001 * ts.answer));
+
+            REQUIRE((ts.longest_edges.empty() or
+                     std::find(ts.longest_edges.begin(), ts.longest_edges.end(), hera_le_exact) !=
+                     ts.longest_edges.end()));
+
+            // check that longest_edge length matches the bottleneck distance
+
+            double hera_le_cost;
+            bool check_longest_edge_cost = true;
+            if (longest_edge.first.get_user_id() >= 0 and longest_edge.second.get_user_id() < 0) {
+                // longest edge: off-diagonal point of A connected to its diagonal projection
+                hera_le_cost = longest_edge.first.get_persistence(ts.internal_p);
+            } else if (longest_edge.first.get_user_id() < 0 and longest_edge.second.get_user_id() >= 0) {
+                // longest edge: off-diagonal point of B connected to its diagonal projection
+                hera_le_cost = longest_edge.second.get_persistence(ts.internal_p);
+            } else if (longest_edge.first.get_user_id() >= 0 and longest_edge.second.get_user_id() >= 0) {
+                // longest edge connects two off-diagonal points of A and B
+                hera_le_cost = hera::bt::dist_l_inf_slow(longest_edge.first, longest_edge.second);
+            } else {
+                check_longest_edge_cost = false;
+            }
+//            if (check_longest_edge_cost and hera_le_cost != hera_answer_exact) {
+//                std::cout << "PROBLEM HERE: " << ts << ", longest  edge " << longest_edge.first << " - "
+//                          << longest_edge.second << ", hera_le_cost " << hera_le_cost << ", answwer "
+//                          << hera_answer_exact << std::endl;
+//            }
+            REQUIRE( (not check_longest_edge_cost or fabs(hera_le_cost - hera_answer_exact) < 0.0001 * hera_answer_exact) );
+            std::cout << ts << " PASSED " << std::endl;
+        }
+    }
+
+}