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 // This file is part of the ACTS project.
 //
 // Copyright (C) 2016 CERN for the benefit of the ACTS project
 //
 // This Source Code Form is subject to the terms of the Mozilla Public
 // License, v. 2.0. If a copy of the MPL was not distributed with this
 // file, You can obtain one at https://mozilla.org/MPL/2.0/.
 
 #include <boost/test/unit_test.hpp>
 
 #include "Acts/Definitions/Algebra.hpp"
 #include "Acts/Definitions/TrackParametrization.hpp"
 #include "Acts/Definitions/Units.hpp"
 #include "Acts/EventData/BoundTrackParameters.hpp"
 #include "Acts/Geometry/GeometryContext.hpp"
 #include "Acts/Geometry/GeometryIdentifier.hpp"
 #include "Acts/MagneticField/ConstantBField.hpp"
 #include "Acts/MagneticField/MagneticFieldContext.hpp"
 #include "Acts/Propagator/EigenStepper.hpp"
 #include "Acts/Propagator/Propagator.hpp"
 #include "Acts/Surfaces/PerigeeSurface.hpp"
 #include "Acts/Surfaces/Surface.hpp"
 #include "Acts/Utilities/AnnealingUtility.hpp"
 #include "Acts/Utilities/Logger.hpp"
 #include "Acts/Utilities/Result.hpp"
 #include "Acts/Vertexing/AMVFInfo.hpp"
 #include "Acts/Vertexing/AdaptiveMultiVertexFitter.hpp"
 #include "Acts/Vertexing/HelicalTrackLinearizer.hpp"
 #include "Acts/Vertexing/ImpactPointEstimator.hpp"
 #include "Acts/Vertexing/TrackAtVertex.hpp"
 #include "Acts/Vertexing/Vertex.hpp"
 #include "Acts/Vertexing/VertexingOptions.hpp"
 #include "ActsTests/CommonHelpers/FloatComparisons.hpp"
 
 #include <iostream>
 #include <map>
 #include <memory>
 #include <numbers>
 #include <random>
 #include <utility>
 #include <vector>
 
 using namespace Acts;
 using namespace Acts::UnitLiterals;
 
 namespace ActsTests {
 
 using Acts::VectorHelpers::makeVector4;
 
 // Set up logger
 ACTS_LOCAL_LOGGER(getDefaultLogger("AMVFitterTests", Logging::INFO))
 
 using Covariance = BoundMatrix;
 using Propagator = Acts::Propagator<EigenStepper<>>;
 using Linearizer = HelicalTrackLinearizer;
 
 // Create a test context
 GeometryContext geoContext = GeometryContext::dangerouslyDefaultConstruct();
 MagneticFieldContext magFieldContext = MagneticFieldContext();
 
 // Vertex x/y position distribution
 std::uniform_real_distribution<double> vXYDist(-0.1_mm, 0.1_mm);
 // Vertex z position distribution
 std::uniform_real_distribution<double> vZDist(-20_mm, 20_mm);
 // Track d0 distribution
 std::uniform_real_distribution<double> d0Dist(-0.01_mm, 0.01_mm);
 // Track z0 distribution
 std::uniform_real_distribution<double> z0Dist(-0.2_mm, 0.2_mm);
 // Track pT distribution
 std::uniform_real_distribution<double> pTDist(1._GeV, 30._GeV);
 // Track phi distribution
 std::uniform_real_distribution<double> phiDist(-std::numbers::pi,
                                                std::numbers::pi);
 // Track theta distribution
 std::uniform_real_distribution<double> thetaDist(1., std::numbers::pi - 1.);
 // Track charge helper distribution
 std::uniform_real_distribution<double> qDist(-1, 1);
 // Distribution of track time (relative to vertex time). Values are unrealistic
 // and only used for testing purposes.
 std::uniform_real_distribution<double> relTDist(-4_ps, 4_ps);
 // Track IP resolution distribution
 std::uniform_real_distribution<double> resIPDist(0., 100._um);
 // Track angular distribution
 std::uniform_real_distribution<double> resAngDist(0., 0.1);
 // Track q/p resolution distribution
 std::uniform_real_distribution<double> resQoPDist(-0.1, 0.1);
 // Track time resolution distribution. Values are unrealistic and only used for
 // testing purposes.
 std::uniform_real_distribution<double> resTDist(0_ps, 8_ps);
 
 BOOST_AUTO_TEST_SUITE(VertexingSuite)
 
 /// @brief Unit test for AdaptiveMultiVertexFitter
 ///
 BOOST_AUTO_TEST_CASE(adaptive_multi_vertex_fitter_test) {
   // Set up RNG
   int mySeed = 31415;
   std::mt19937 gen(mySeed);
 
   // Set up constant B-Field
   auto bField = std::make_shared<ConstantBField>(Vector3{0.0, 0.0, 1_T});
 
   // Set up EigenStepper
   EigenStepper<> stepper(bField);
 
   // Set up propagator with void navigator
   auto propagator = std::make_shared<Propagator>(stepper);
 
   VertexingOptions vertexingOptions(geoContext, magFieldContext);
 
   // IP 3D Estimator
   ImpactPointEstimator::Config ip3dEstCfg(bField, propagator);
   ImpactPointEstimator ip3dEst(ip3dEstCfg);
 
   // Linearizer for BoundTrackParameters type test
   Linearizer::Config ltConfig;
   ltConfig.bField = bField;
   ltConfig.propagator = propagator;
   Linearizer linearizer(ltConfig);
 
   AdaptiveMultiVertexFitter::Config fitterCfg(ip3dEst);
   fitterCfg.trackLinearizer.connect<&Linearizer::linearizeTrack>(&linearizer);
 
   // Test smoothing
   fitterCfg.doSmoothing = true;
   fitterCfg.extractParameters.connect<&InputTrack::extractParameters>();
 
   AdaptiveMultiVertexFitter fitter(std::move(fitterCfg));
 
   // Create positions of three vertices, two of which (1 and 2) are
   // close to one another and will share a common track later
   Vector3 vtxPos1(-0.15_mm, -0.1_mm, -1.5_mm);
   Vector3 vtxPos2(-0.1_mm, -0.15_mm, -3._mm);
   Vector3 vtxPos3(0.2_mm, 0.2_mm, 10._mm);
 
   std::vector<Vector3> vtxPosVec{vtxPos1, vtxPos2, vtxPos3};
 
   // Resolutions, use the same for all tracks
   double resD0 = resIPDist(gen);
   double resZ0 = resIPDist(gen);
   double resPh = resAngDist(gen);
   double resTh = resAngDist(gen);
   double resQp = resQoPDist(gen);
 
   std::vector<Vertex> vtxList;
   for (auto& vtxPos : vtxPosVec) {
     Vertex vtx(vtxPos);
     // Set some vertex covariance
     SquareMatrix4 posCovariance(SquareMatrix4::Identity());
     vtx.setFullCovariance(posCovariance);
     // Add to vertex list
     vtxList.push_back(vtx);
   }
 
   std::vector<Vertex*> vtxPtrList;
   ACTS_DEBUG("All vertices in test case:");
   int cv = 0;
   for (auto& vtx : vtxList) {
     cv++;
     ACTS_DEBUG("\t" << cv << ". vertex ptr: " << &vtx);
     vtxPtrList.push_back(&vtx);
   }
 
   std::vector<BoundTrackParameters> allTracks;
 
   unsigned int nTracksPerVtx = 4;
   // Construct nTracksPerVtx * 3 (3 vertices) random track emerging
   // from vicinity of vertex positions
   for (unsigned int iTrack = 0; iTrack < nTracksPerVtx * vtxPosVec.size();
        iTrack++) {
     // Construct positive or negative charge randomly
     double q = std::copysign(1., qDist(gen));
 
     // Fill vector of track objects with simple covariance matrix
     Covariance covMat;
 
     covMat << resD0 * resD0, 0., 0., 0., 0., 0., 0., resZ0 * resZ0, 0., 0., 0.,
         0., 0., 0., resPh * resPh, 0., 0., 0., 0., 0., 0., resTh * resTh, 0.,
         0., 0., 0., 0., 0., resQp * resQp, 0., 0., 0., 0., 0., 0., 1.;
 
     // Index of current vertex
     int vtxIdx = static_cast<int>(iTrack / nTracksPerVtx);
 
     // Construct random track parameters
     BoundVector paramVec;
     paramVec << d0Dist(gen), z0Dist(gen), phiDist(gen), thetaDist(gen),
         q / pTDist(gen), 0.;
 
     std::shared_ptr<PerigeeSurface> perigeeSurface =
         Surface::makeShared<PerigeeSurface>(vtxPosVec[vtxIdx]);
 
     allTracks.emplace_back(perigeeSurface, paramVec, std::move(covMat),
                            ParticleHypothesis::pion());
   }
 
   int ct = 0;
   ACTS_DEBUG("All tracks in test case:");
   for (auto& trk : allTracks) {
     ct++;
     ACTS_DEBUG("\t" << ct << ". track ptr: " << &trk);
   }
 
   AdaptiveMultiVertexFitter::State state(*bField, magFieldContext);
 
   for (unsigned int iTrack = 0; iTrack < nTracksPerVtx * vtxPosVec.size();
        iTrack++) {
     // Index of current vertex
     int vtxIdx = static_cast<int>(iTrack / nTracksPerVtx);
 
     InputTrack inputTrack{&allTracks[iTrack]};
 
     state.vtxInfoMap[&(vtxList[vtxIdx])].trackLinks.push_back(inputTrack);
     state.tracksAtVerticesMap.insert(
         std::make_pair(std::make_pair(inputTrack, &(vtxList[vtxIdx])),
                        TrackAtVertex(1., allTracks[iTrack], inputTrack)));
 
     // Use first track also for second vertex to let vtx1 and vtx2
     // share this track
     if (iTrack == 0) {
       state.vtxInfoMap[&(vtxList.at(1))].trackLinks.push_back(inputTrack);
       state.tracksAtVerticesMap.insert(
           std::make_pair(std::make_pair(inputTrack, &(vtxList.at(1))),
                          TrackAtVertex(1., allTracks[iTrack], inputTrack)));
     }
   }
 
   for (auto& vtx : vtxPtrList) {
     state.addVertexToMultiMap(*vtx);
     ACTS_DEBUG("Vertex, with ptr: " << vtx);
     for (auto& trk : state.vtxInfoMap[vtx].trackLinks) {
       ACTS_DEBUG("\t track ptr: " << trk);
     }
   }
 
   ACTS_DEBUG("Checking all vertices linked to a single track:");
   for (auto& trk : allTracks) {
     ACTS_DEBUG("Track with ptr: " << &trk);
     auto range = state.trackToVerticesMultiMap.equal_range(InputTrack{&trk});
     for (auto vtxIter = range.first; vtxIter != range.second; ++vtxIter) {
       ACTS_DEBUG("\t used by vertex: " << vtxIter->second);
     }
   }
 
   // Copy vertex seeds from state.vertexCollection to new
   // list in order to be able to compare later
   std::vector<Vertex> seedListCopy = vtxList;
 
   std::vector<Vertex*> vtxFitPtr = {&vtxList.at(0)};
   auto res1 = fitter.addVtxToFit(state, vtxFitPtr, vertexingOptions);
   ACTS_DEBUG("Tracks linked to each vertex AFTER fit:");
   int c = 0;
   for (auto& vtx : vtxPtrList) {
     c++;
     ACTS_DEBUG(c << ". vertex, with ptr: " << vtx);
     for (const auto& trk : state.vtxInfoMap[vtx].trackLinks) {
       ACTS_DEBUG("\t track ptr: " << trk);
     }
   }
 
   ACTS_DEBUG("Checking all vertices linked to a single track AFTER fit:");
   for (auto& trk : allTracks) {
     ACTS_DEBUG("Track with ptr: " << &trk);
     auto range = state.trackToVerticesMultiMap.equal_range(InputTrack{&trk});
     for (auto vtxIter = range.first; vtxIter != range.second; ++vtxIter) {
       ACTS_DEBUG("\t used by vertex: " << vtxIter->second);
     }
   }
 
   BOOST_CHECK(res1.ok());
 
   ACTS_DEBUG("Vertex positions after fit of vertex 1 and 2:");
   for (std::size_t vtxIter = 0; vtxIter < 3; vtxIter++) {
     ACTS_DEBUG("Vtx " << vtxIter + 1 << ", seed position:\n "
                       << seedListCopy.at(vtxIter).fullPosition()
                       << "\nFitted position:\n "
                       << vtxList.at(vtxIter).fullPosition());
   }
 
   // After fit of first vertex, only first and second vertex seed
   // should have been modified while third vertex should remain untouched
   BOOST_CHECK_NE(vtxList.at(0).fullPosition(),
                  seedListCopy.at(0).fullPosition());
   BOOST_CHECK_NE(vtxList.at(1).fullPosition(),
                  seedListCopy.at(1).fullPosition());
   BOOST_CHECK_EQUAL(vtxList.at(2).fullPosition(),
                     seedListCopy.at(2).fullPosition());
 
   CHECK_CLOSE_ABS(vtxList.at(0).fullPosition(),
                   seedListCopy.at(0).fullPosition(), 1_mm);
   CHECK_CLOSE_ABS(vtxList.at(1).fullPosition(),
                   seedListCopy.at(1).fullPosition(), 1_mm);
 
   vtxFitPtr = {&vtxList.at(2)};
   auto res2 = fitter.addVtxToFit(state, vtxFitPtr, vertexingOptions);
   BOOST_CHECK(res2.ok());
 
   // Now also the third vertex should have been modified and fitted
   BOOST_CHECK_NE(vtxList.at(2).fullPosition(),
                  seedListCopy.at(2).fullPosition());
   CHECK_CLOSE_ABS(vtxList.at(2).fullPosition(),
                   seedListCopy.at(2).fullPosition(), 1_mm);
 
   ACTS_DEBUG("Vertex positions after fit of vertex 3:");
   ACTS_DEBUG("Vtx 1, seed position:\n " << seedListCopy.at(0).fullPosition()
                                         << "\nFitted position:\n "
                                         << vtxList.at(0).fullPosition());
   ACTS_DEBUG("Vtx 2, seed position:\n " << seedListCopy.at(1).fullPosition()
                                         << "\nFitted position:\n "
                                         << vtxList.at(1).fullPosition());
   ACTS_DEBUG("Vtx 3, seed position:\n " << seedListCopy.at(2).fullPosition()
                                         << "\nFitted position:\n "
                                         << vtxList.at(2).fullPosition());
 }
 
 /// @brief Unit test for fitting a 4D vertex position
 ///
 BOOST_AUTO_TEST_CASE(time_fitting) {
   // Set up RNG
   int mySeed = 31415;
   std::mt19937 gen(mySeed);
 
   // Set up constant B-Field
   auto bField = std::make_shared<ConstantBField>(Vector3{0.0, 0.0, 1_T});
 
   // Set up EigenStepper
   EigenStepper<> stepper(bField);
 
   // Set up propagator with void navigator
   auto propagator = std::make_shared<Propagator>(stepper);
 
   VertexingOptions vertexingOptions(geoContext, magFieldContext);
 
   ImpactPointEstimator::Config ip3dEstCfg(bField, propagator);
   ImpactPointEstimator ip3dEst(ip3dEstCfg);
 
   AdaptiveMultiVertexFitter::Config fitterCfg(ip3dEst);
 
   // Linearizer for BoundTrackParameters type test
   Linearizer::Config ltConfig;
   ltConfig.bField = bField;
   ltConfig.propagator = propagator;
   Linearizer linearizer(ltConfig);
 
   // Test smoothing
   fitterCfg.doSmoothing = true;
   // Do time fit
   fitterCfg.useTime = true;
   fitterCfg.extractParameters.connect<&InputTrack::extractParameters>();
   fitterCfg.trackLinearizer.connect<&Linearizer::linearizeTrack>(&linearizer);
 
   AdaptiveMultiVertexFitter fitter(std::move(fitterCfg));
 
   // Vertex position
   double trueVtxTime = 40.0_ps;
   Vector3 trueVtxPos(-0.15_mm, -0.1_mm, -1.5_mm);
 
   // Seed position of the vertex
   Vector4 vtxSeedPos(0.0_mm, 0.0_mm, -1.4_mm, 0.0_ps);
 
   Vertex vtx(vtxSeedPos);
   // Set initial covariance matrix to a large value
   SquareMatrix4 initialCovariance(SquareMatrix4::Identity() * 1e+8);
   vtx.setFullCovariance(initialCovariance);
 
   // Vector of all tracks
   std::vector<BoundTrackParameters> trks;
 
   unsigned int nTracks = 4;
   for (unsigned int _ = 0; _ < nTracks; _++) {
     // Construct positive or negative charge randomly
     double q = std::copysign(1., qDist(gen));
 
     // Track resolution
     double resD0 = resIPDist(gen);
     double resZ0 = resIPDist(gen);
     double resPh = resAngDist(gen);
     double resTh = resAngDist(gen);
     double resQp = resQoPDist(gen);
     double resT = resTDist(gen);
 
     // Random diagonal covariance matrix
     Covariance covMat;
 
     // clang-format off
     covMat <<
       resD0 * resD0, 0., 0., 0., 0., 0.,
       0., resZ0 * resZ0, 0., 0., 0., 0.,
       0., 0., resPh * resPh, 0., 0., 0.,
       0., 0., 0., resTh * resTh, 0., 0.,
       0., 0., 0., 0., resQp * resQp, 0.,
       0., 0., 0., 0., 0., resT * resT;
     // clang-format on
 
     // Random track parameters
     BoundVector paramVec;
     paramVec << d0Dist(gen), z0Dist(gen), phiDist(gen), thetaDist(gen),
         q / pTDist(gen), trueVtxTime + relTDist(gen);
 
     std::shared_ptr<PerigeeSurface> perigeeSurface =
         Surface::makeShared<PerigeeSurface>(trueVtxPos);
 
     trks.emplace_back(perigeeSurface, paramVec, std::move(covMat),
                       ParticleHypothesis::pion());
   }
 
   std::vector<const BoundTrackParameters*> trksPtr;
   for (const auto& trk : trks) {
     trksPtr.push_back(&trk);
   }
 
   // Prepare fitter state
   AdaptiveMultiVertexFitter::State state(*bField, magFieldContext);
 
   for (const auto& trk : trks) {
     ACTS_DEBUG("Track parameters:\n" << trk);
     // Index of current vertex
     state.vtxInfoMap[&vtx].trackLinks.push_back(InputTrack{&trk});
     state.tracksAtVerticesMap.insert(
         std::make_pair(std::make_pair(InputTrack{&trk}, &vtx),
                        TrackAtVertex(1., trk, InputTrack{&trk})));
   }
 
   state.addVertexToMultiMap(vtx);
 
   std::vector<Vertex*> vtxFitPtr = {&vtx};
   auto res = fitter.addVtxToFit(state, vtxFitPtr, vertexingOptions);
 
   BOOST_CHECK(res.ok());
 
   ACTS_DEBUG("Truth vertex position:  " << trueVtxPos.transpose());
   ACTS_DEBUG("Fitted vertex position: " << vtx.position().transpose());
 
   ACTS_DEBUG("Truth vertex time:  " << trueVtxTime);
   ACTS_DEBUG("Fitted vertex time: " << vtx.time());
 
   // Check that true vertex position and time approximately recovered
   CHECK_CLOSE_ABS(trueVtxPos, vtx.position(), 60_um);
   CHECK_CLOSE_ABS(trueVtxTime, vtx.time(), 2_ps);
 
   const SquareMatrix4& vtxCov = vtx.fullCovariance();
 
   ACTS_DEBUG("Vertex 4D covariance after the fit:\n" << vtxCov);
 
   // Check that variances of the vertex position/time are positive
   for (std::size_t i = 0; i <= 3; i++) {
     BOOST_CHECK_GT(vtxCov(i, i), 0.);
   }
 
   // Check that the covariance matrix is approximately symmetric
   CHECK_CLOSE_ABS(vtxCov - vtxCov.transpose(), SquareMatrix4::Zero(), 1e-5);
 }
 
 /// @brief Unit test for AdaptiveMultiVertexFitter
 /// based on Athena unit test, i.e. same setting and
 /// test values are used here
 BOOST_AUTO_TEST_CASE(adaptive_multi_vertex_fitter_test_athena) {
   // Set up constant B-Field
   auto bField = std::make_shared<ConstantBField>(Vector3{0.0, 0.0, 2_T});
 
   // Set up EigenStepper
   // EigenStepper<> stepper(bField);
   EigenStepper<> stepper(bField);
 
   // Set up propagator with void navigator
   auto propagator = std::make_shared<Propagator>(stepper);
 
   VertexingOptions vertexingOptions(geoContext, magFieldContext);
 
   ImpactPointEstimator::Config ip3dEstCfg(bField, propagator);
   ImpactPointEstimator ip3dEst(ip3dEstCfg);
 
   std::vector<double> temperatures(1, 3.);
   AnnealingUtility::Config annealingConfig;
   annealingConfig.setOfTemperatures = temperatures;
   AnnealingUtility annealingUtility(annealingConfig);
 
   AdaptiveMultiVertexFitter::Config fitterCfg(ip3dEst);
 
   fitterCfg.annealingTool = annealingUtility;
   fitterCfg.extractParameters.connect<&InputTrack::extractParameters>();
 
   // Linearizer for BoundTrackParameters type test
   Linearizer::Config ltConfig;
   ltConfig.bField = bField;
   ltConfig.propagator = propagator;
   Linearizer linearizer(ltConfig);
 
   fitterCfg.trackLinearizer.connect<&Linearizer::linearizeTrack>(&linearizer);
 
   // Test smoothing
   // fitterCfg.doSmoothing = true;
 
   AdaptiveMultiVertexFitter fitter(std::move(fitterCfg));
 
   // Create first vector of tracks
   Vector3 pos1a(0.5_mm, -0.5_mm, 2.4_mm);
   Vector3 mom1a(1000_MeV, 0_MeV, -500_MeV);
   Vector3 pos1b(0.5_mm, -0.5_mm, 3.5_mm);
   Vector3 mom1b(0_MeV, 1000_MeV, 500_MeV);
   Vector3 pos1c(-0.2_mm, 0.1_mm, 3.4_mm);
   Vector3 mom1c(-50_MeV, 180_MeV, 300_MeV);
 
   Vector3 pos1d(-0.1_mm, 0.3_mm, 3.0_mm);
   Vector3 mom1d(-80_MeV, 480_MeV, -100_MeV);
   Vector3 pos1e(-0.01_mm, 0.01_mm, 2.9_mm);
   Vector3 mom1e(-600_MeV, 10_MeV, 210_MeV);
 
   Vector3 pos1f(-0.07_mm, 0.03_mm, 2.5_mm);
   Vector3 mom1f(240_MeV, 110_MeV, 150_MeV);
 
   // Start creating some track parameters
   Covariance covMat1;
   covMat1 << 1_mm * 1_mm, 0, 0., 0, 0., 0, 0, 1_mm * 1_mm, 0, 0., 0, 0, 0., 0,
       0.1, 0, 0, 0, 0, 0., 0, 0.1, 0, 0, 0., 0, 0, 0, 1. / (10_GeV * 10_GeV), 0,
       0, 0, 0, 0, 0, 1_ns;
 
   std::vector<BoundTrackParameters> params1 = {
       BoundTrackParameters::create(
           geoContext, Surface::makeShared<PerigeeSurface>(pos1a),
           makeVector4(pos1a, 0), mom1a.normalized(), 1_e / mom1a.norm(),
           covMat1, ParticleHypothesis::pion())
           .value(),
       BoundTrackParameters::create(
           geoContext, Surface::makeShared<PerigeeSurface>(pos1b),
           makeVector4(pos1b, 0), mom1b.normalized(), -1_e / mom1b.norm(),
           covMat1, ParticleHypothesis::pion())
           .value(),
       BoundTrackParameters::create(
           geoContext, Surface::makeShared<PerigeeSurface>(pos1c),
           makeVector4(pos1c, 0), mom1c.normalized(), 1_e / mom1c.norm(),
           covMat1, ParticleHypothesis::pion())
           .value(),
       BoundTrackParameters::create(
           geoContext, Surface::makeShared<PerigeeSurface>(pos1d),
           makeVector4(pos1d, 0), mom1d.normalized(), -1_e / mom1d.norm(),
           covMat1, ParticleHypothesis::pion())
           .value(),
       BoundTrackParameters::create(
           geoContext, Surface::makeShared<PerigeeSurface>(pos1e),
           makeVector4(pos1e, 0), mom1e.normalized(), 1_e / mom1e.norm(),
           covMat1, ParticleHypothesis::pion())
           .value(),
       BoundTrackParameters::create(
           geoContext, Surface::makeShared<PerigeeSurface>(pos1f),
           makeVector4(pos1f, 0), mom1f.normalized(), -1_e / mom1f.norm(),
           covMat1, ParticleHypothesis::pion())
           .value(),
   };
 
   // Create second vector of tracks
   Vector3 pos2a(0.2_mm, 0_mm, -4.9_mm);
   Vector3 mom2a(5000_MeV, 30_MeV, 200_MeV);
   Vector3 pos2b(-0.5_mm, 0.1_mm, -5.1_mm);
   Vector3 mom2b(800_MeV, 1200_MeV, 200_MeV);
   Vector3 pos2c(0.05_mm, -0.5_mm, -4.7_mm);
   Vector3 mom2c(400_MeV, -300_MeV, -200_MeV);
 
   // Define covariance as used in athena unit test
   Covariance covMat2 = covMat1;
 
   std::vector<BoundTrackParameters> params2 = {
       BoundTrackParameters::create(
           geoContext, Surface::makeShared<PerigeeSurface>(pos2a),
           makeVector4(pos2a, 0), mom2a.normalized(), 1_e / mom2a.norm(),
           covMat2, ParticleHypothesis::pion())
           .value(),
       BoundTrackParameters::create(
           geoContext, Surface::makeShared<PerigeeSurface>(pos2b),
           makeVector4(pos2b, 0), mom2b.normalized(), -1_e / mom2b.norm(),
           covMat2, ParticleHypothesis::pion())
           .value(),
       BoundTrackParameters::create(
           geoContext, Surface::makeShared<PerigeeSurface>(pos2c),
           makeVector4(pos2c, 0), mom2c.normalized(), -1_e / mom2c.norm(),
           covMat2, ParticleHypothesis::pion())
           .value(),
   };
 
   AdaptiveMultiVertexFitter::State state(*bField, magFieldContext);
 
   // The constraint vertex position covariance
   SquareMatrix4 covConstr(SquareMatrix4::Identity());
   covConstr = covConstr * 1e+8;
   covConstr(3, 3) = 0.;
 
   // Prepare first vertex
   Vector3 vtxPos1(0.15_mm, 0.15_mm, 2.9_mm);
   Vertex vtx1(vtxPos1);
 
   // Add to vertex list
   state.vertexCollection.push_back(&vtx1);
 
   // The constraint vtx for vtx1
   Vertex vtx1Constr(vtxPos1);
   vtx1Constr.setFullCovariance(covConstr);
   vtx1Constr.setFitQuality(0, -3);
 
   // Prepare vtx info for fitter
   VertexInfo vtxInfo1;
   vtxInfo1.seedPosition = vtxInfo1.linPoint;
   vtxInfo1.linPoint.setZero();
   vtxInfo1.linPoint.head<3>() = vtxPos1;
   vtxInfo1.constraint = std::move(vtx1Constr);
   vtxInfo1.oldPosition = vtxInfo1.linPoint;
 
   for (const auto& trk : params1) {
     vtxInfo1.trackLinks.push_back(InputTrack{&trk});
     state.tracksAtVerticesMap.insert(
         std::make_pair(std::make_pair(InputTrack{&trk}, &vtx1),
                        TrackAtVertex(1.5, trk, InputTrack{&trk})));
   }
 
   // Prepare second vertex
   Vector3 vtxPos2(0.3_mm, -0.2_mm, -4.8_mm);
   Vertex vtx2(vtxPos2);
 
   // Add to vertex list
   state.vertexCollection.push_back(&vtx2);
 
   // The constraint vtx for vtx2
   Vertex vtx2Constr(vtxPos2);
   vtx2Constr.setFullCovariance(covConstr);
   vtx2Constr.setFitQuality(0, -3);
 
   // Prepare vtx info for fitter
   VertexInfo vtxInfo2;
   vtxInfo2.linPoint.setZero();
   vtxInfo2.linPoint.head<3>() = vtxPos2;
   vtxInfo2.constraint = std::move(vtx2Constr);
   vtxInfo2.oldPosition = vtxInfo2.linPoint;
   vtxInfo2.seedPosition = vtxInfo2.linPoint;
 
   for (const auto& trk : params2) {
     vtxInfo2.trackLinks.push_back(InputTrack{&trk});
     state.tracksAtVerticesMap.insert(
         std::make_pair(std::make_pair(InputTrack{&trk}, &vtx2),
                        TrackAtVertex(1.5, trk, InputTrack{&trk})));
   }
 
   state.vtxInfoMap[&vtx1] = std::move(vtxInfo1);
   state.vtxInfoMap[&vtx2] = std::move(vtxInfo2);
 
   state.addVertexToMultiMap(vtx1);
   state.addVertexToMultiMap(vtx2);
 
   // Fit vertices
   fitter.fit(state, vertexingOptions);
 
   auto vtx1Fitted = state.vertexCollection.at(0);
   auto vtx1PosFitted = vtx1Fitted->position();
   auto vtx1CovFitted = vtx1Fitted->covariance();
   auto trks1 = state.vtxInfoMap.at(vtx1Fitted).trackLinks;
   auto vtx1FQ = vtx1Fitted->fitQuality();
 
   auto vtx2Fitted = state.vertexCollection.at(1);
   auto vtx2PosFitted = vtx2Fitted->position();
   auto vtx2CovFitted = vtx2Fitted->covariance();
   auto trks2 = state.vtxInfoMap.at(vtx2Fitted).trackLinks;
   auto vtx2FQ = vtx2Fitted->fitQuality();
 
   // Vertex 1
   ACTS_DEBUG("Vertex 1, position: " << vtx1PosFitted);
   ACTS_DEBUG("Vertex 1, covariance: " << vtx1CovFitted);
   for (const auto& trk : trks1) {
     auto& trkAtVtx =
         state.tracksAtVerticesMap.at(std::make_pair(trk, vtx1Fitted));
     ACTS_DEBUG("\tTrack weight:" << trkAtVtx.trackWeight);
   }
   ACTS_DEBUG("Vertex 1, chi2: " << vtx1FQ.first);
   ACTS_DEBUG("Vertex 1, ndf: " << vtx1FQ.second);
 
   // Vertex 2
   ACTS_DEBUG("Vertex 2, position: " << vtx2PosFitted);
   ACTS_DEBUG("Vertex 2, covariance: " << vtx2CovFitted);
   for (const auto& trk : trks2) {
     auto& trkAtVtx =
         state.tracksAtVerticesMap.at(std::make_pair(trk, vtx2Fitted));
     ACTS_DEBUG("\tTrack weight:" << trkAtVtx.trackWeight);
   }
   ACTS_DEBUG("Vertex 2, chi2: " << vtx2FQ.first);
   ACTS_DEBUG("Vertex 2, ndf: " << vtx2FQ.second);
 
   // Expected values from Athena implementation
   // Vertex 1
   const Vector3 expVtx1Pos(0.077_mm, -0.189_mm, 2.924_mm);
 
   // Helper matrix to create const expVtx1Cov below
   SquareMatrix3 expVtx1Cov;
   expVtx1Cov << 0.329, 0.016, -0.035, 0.016, 0.250, 0.085, -0.035, 0.085, 0.242;
 
   Vector<6> expVtx1TrkWeights;
   expVtx1TrkWeights << 0.8128, 0.7994, 0.8164, 0.8165, 0.8165, 0.8119;
   const double expVtx1chi2 = 0.9812;
   const double expVtx1ndf = 6.7474;
 
   // Vertex 2
   const Vector3 expVtx2Pos(-0.443_mm, -0.044_mm, -4.829_mm);
   // Helper matrix to create const expVtx2Cov below
   SquareMatrix3 expVtx2Cov;
   expVtx2Cov << 1.088, 0.028, -0.066, 0.028, 0.643, 0.073, -0.066, 0.073, 0.435;
 
   const Vector3 expVtx2TrkWeights(0.8172, 0.8150, 0.8137);
   const double expVtx2chi2 = 0.2114;
   const double expVtx2ndf = 1.8920;
 
   // Compare the results
   // Vertex 1
   CHECK_CLOSE_ABS(vtx1PosFitted, expVtx1Pos, 0.001_mm);
   CHECK_CLOSE_ABS(vtx1CovFitted, expVtx1Cov, 0.001_mm);
   int trkCount = 0;
   for (const auto& trk : trks1) {
     auto& trkAtVtx =
         state.tracksAtVerticesMap.at(std::make_pair(trk, vtx1Fitted));
     CHECK_CLOSE_ABS(trkAtVtx.trackWeight, expVtx1TrkWeights[trkCount], 0.001);
     trkCount++;
   }
   CHECK_CLOSE_ABS(vtx1FQ.first, expVtx1chi2, 0.001);
   CHECK_CLOSE_ABS(vtx1FQ.second, expVtx1ndf, 0.001);
 
   // Vertex 2
   CHECK_CLOSE_ABS(vtx2PosFitted, expVtx2Pos, 0.001_mm);
   CHECK_CLOSE_ABS(vtx2CovFitted, expVtx2Cov, 0.001_mm);
   trkCount = 0;
   for (const auto& trk : trks2) {
     auto& trkAtVtx =
         state.tracksAtVerticesMap.at(std::make_pair(trk, vtx2Fitted));
     CHECK_CLOSE_ABS(trkAtVtx.trackWeight, expVtx2TrkWeights[trkCount], 0.001);
     trkCount++;
   }
   CHECK_CLOSE_ABS(vtx2FQ.first, expVtx2chi2, 0.001);
   CHECK_CLOSE_ABS(vtx2FQ.second, expVtx2ndf, 0.001);
 }
 
 BOOST_AUTO_TEST_SUITE_END()
 
 }  // namespace ActsTests

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