From 6efde7746fdafeacc4076ace28bca782627650e4 Mon Sep 17 00:00:00 2001
From: Mikhail Polikarpov <mikhail.polikarpov@rwth-aachen.de>
Date: Sun, 12 Jul 2020 17:08:47 +0200
Subject: [PATCH] Automatic AND/OR hypergraph generation, liaison and moving
 wedge extraction

---
 CatiaNetTest/AndOrDataExtraction.vb           | 1310 +++++++++++++++++
 CatiaNetTest/CatiaNetTest.vbproj              |    1 +
 CatiaNetTest/Form1.vb                         |   14 +-
 CatiaNetTest/bin/Debug/CatiaNetTest.exe       |  Bin 88576 -> 109056 bytes
 CatiaNetTest/bin/Debug/CatiaNetTest.pdb       |  Bin 122368 -> 157184 bytes
 CatiaNetTest/obj/Debug/CatiaNetTest.exe       |  Bin 88576 -> 109056 bytes
 CatiaNetTest/obj/Debug/CatiaNetTest.pdb       |  Bin 122368 -> 157184 bytes
 ...CatiaNetTest.vbprojAssemblyReference.cache |  Bin 12375 -> 12375 bytes
 .../DesignTimeResolveAssemblyReferences.cache |  Bin 1286 -> 1286 bytes
 9 files changed, 1324 insertions(+), 1 deletion(-)
 create mode 100644 CatiaNetTest/AndOrDataExtraction.vb

diff --git a/CatiaNetTest/AndOrDataExtraction.vb b/CatiaNetTest/AndOrDataExtraction.vb
new file mode 100644
index 0000000..ce6bec4
--- /dev/null
+++ b/CatiaNetTest/AndOrDataExtraction.vb
@@ -0,0 +1,1310 @@
+Imports System
+Imports HybridShapeTypeLib
+Imports INFITF
+Imports MECMOD
+Imports NavigatorTypeLib
+Imports ProductStructureTypeLib
+Imports SPATypeLib
+Imports PARTITF
+Imports Microsoft.Office.Interop.Excel
+Imports Microsoft.VisualBasic
+
+Public Class AndOrDataExtraction
+
+    Public cAllProducts As New ArrayList
+    Public cRelevantProducts As New ArrayList
+    Public intParts As Integer
+    Public intNumFaces As Integer
+    Public primaryFasteners As New ArrayList
+    Public secondaryFasteners As New ArrayList
+    Public aRemovalDistances(,) As Double
+    Public aAssemblyBoundaries(5) As Double
+    Public aPartBBGlob(,) As Double
+    Public aInitPos(,) As Double
+    Public intStep As Integer
+    Public dCollSens As Double
+    Public MW_x_pos(,) As Integer
+    Public MW_y_pos(,) As Integer
+    Public MW_z_pos(,) As Integer
+    Public liaisonMatrix(,) As Integer
+    Public numEdges As Integer = 0
+    Public hypergraph As New Dictionary(Of Integer, List(Of List(Of Integer)))
+    Public CATIA As INFITF.Application
+
+    Sub CatMain()
+
+        CATIA = GetObject(, "CATIA.Application")
+        If CATIA Is Nothing Then CATIA = CreateObject("CATIA.Application")
+
+        Dim document As ProductDocument
+        document = CATIA.ActiveDocument
+
+        Dim topProduct As Product
+        topProduct = document.Product
+
+        'Determine physical contacts (liaisons) between elementary parts and output to Excel
+        Liaison(topProduct)
+
+        'Determine moving wedge (MW) matrices of the product
+        MovingWedge()
+
+        'Create AND/OR graph
+        Dim prod As New List(Of Integer)
+        For i = 1 To cRelevantProducts.Count
+            prod.Add(i)
+        Next
+        Dim nodes As New List(Of List(Of Integer))
+        'Add the final product to the list of legal assemblies
+        nodes.Add(prod)
+        AndOrGraph(prod, nodes)
+
+        Debug.Print("AND/OR nodes: " + CStr(nodes.Count))
+        Debug.Print("AND/OR edges: " + CStr(numEdges))
+
+    End Sub
+
+    Sub AndOrGraph(prod As List(Of Integer), nodes As List(Of List(Of Integer)))
+        'Creates AND/OR graph in the form of a dictionary:
+        '{<index of hyperedge>: (<resulting subassembly>, <first subassembly>, <second subassembly>)}
+
+        Dim n As Integer = prod.Count
+        Dim numSubdivisions As Long = Convert.ToInt64(2 ^ (n - 1))
+
+        'Iterate over all possible assembly binary partitions
+        For p = 1 To numSubdivisions - 1
+            Dim prt As New List(Of List(Of Integer))
+            prt = BinaryPartition(p, n, prod)
+            Debug.Print(PrintIntegerList(prt(0)) & PrintIntegerList(prt(1)))
+            Dim l1 As Integer = prt(0).Count
+            Dim l2 As Integer = prt(1).Count
+            'Check both subassemblies for connectedness
+            If SubassemblyIsConnected(prt(0)) = False Then
+                Continue For
+            End If
+            If SubassemblyIsConnected(prt(1)) = False Then
+                Continue For
+            End If
+            'Check whether disassembly is possible by checking for
+            'collision-free assembly paths of one of two subsets along all axes
+            Dim assemblyDirections As New List(Of Integer)
+            For i = 0 To 5
+                Dim checksum As Integer = 0
+                Dim matrix(,) As Integer
+                If i = 0 Or i = 3 Then
+                    matrix = MW_x_pos
+                ElseIf i = 1 Or i = 4 Then
+                    matrix = MW_y_pos
+                ElseIf i = 2 Or i = 5 Then
+                    matrix = MW_z_pos
+                End If
+                For Each j In prt(0)
+                    For Each k In prt(1)
+                        If i < 3 Then
+                            checksum += matrix(j - 1, k - 1)
+                        Else
+                            checksum += matrix(k - 1, j - 1)
+                        End If
+                    Next
+                Next
+                If checksum = l1 * l2 Then
+                    assemblyDirections.Add(i)
+                End If
+            Next
+            If assemblyDirections.Count > 0 Then
+                Debug.Print(PrintIntegerList(prt(0)) & " can be assembled to " & PrintIntegerList(prt(1)) & " along directions " & PrintIntegerList(assemblyDirections))
+                numEdges += 1
+                'Save hyperedge
+                Dim edge As New List(Of List(Of Integer))
+                edge.Add(prod)
+                edge.Add(prt(0))
+                edge.Add(prt(1))
+                hypergraph.Add(numEdges, edge)
+                'Continue AND/OR procedure for unvisited subassemblies (FindIndex will return -1 for such subassemblies)
+                Dim index0 = nodes.FindIndex(Function(node) node.SequenceEqual(prt(0)))
+                If index0 = -1 Then
+                    nodes.Add(prt(0))
+                    AndOrGraph(prt(0), nodes)
+                End If
+                Dim index1 = nodes.FindIndex(Function(node) node.SequenceEqual(prt(1)))
+                If index1 = -1 Then
+                    nodes.Add(prt(1))
+                    AndOrGraph(prt(1), nodes)
+                End If
+            End If
+        Next
+
+    End Sub
+
+    Function SubassemblyIsConnected(prt As List(Of Integer)) As Boolean
+
+        'List of visited nodes
+        Dim visitedNodes As New List(Of Boolean)
+        Dim prtCount As Integer = prt.Count
+        For x = 0 To prtCount - 1
+            visitedNodes.Add(False)
+        Next
+
+        'Submatrix of liaison adjacency matrix that contains only the nodes of this subassembly
+        Dim liaisonSubmatrix(,) As Integer
+        ReDim liaisonSubmatrix(prtCount, prtCount)
+        For m = 0 To prtCount - 1
+            For k = 0 To prtCount - 1
+                liaisonSubmatrix(m, k) = liaisonMatrix(prt(m) - 1, prt(k) - 1)
+            Next
+        Next
+
+        'Depth-first search to explore the liaison subgraph from the first node
+        DFS(liaisonSubmatrix, visitedNodes, 0)
+
+        'Check whether all nodes could be visited via liaison connections
+        For i = 0 To prtCount - 1
+            If visitedNodes(i) = False Then
+                Return False
+            End If
+        Next
+
+        Return True
+
+    End Function
+
+    Sub DFS(liaisonSubmatrix(,) As Integer, visitedNodes As List(Of Boolean), v As Integer)
+        'Depth-first search
+
+        If visitedNodes(v) = True Then
+            Exit Sub
+        End If
+
+        visitedNodes(v) = True
+
+        'Neighbors of v
+        Dim neighbors As New List(Of Integer)
+        For i = 0 To visitedNodes.Count - 1
+            If liaisonSubmatrix(v, i) = 1 Then
+                neighbors.Add(i)
+            End If
+        Next
+
+        'Do DFS on all neighbor nodes if they were not visited
+        For Each u In neighbors
+            If visitedNodes(u) = False Then
+                DFS(liaisonSubmatrix, visitedNodes, u)
+            End If
+        Next
+
+    End Sub
+
+    Function BinaryPartition(index As Integer, n As Integer, prod As List(Of Integer)) As List(Of List(Of Integer))
+        'Uses binary representation of an integer to distribute elements in two sets (subassemblies)
+
+        'Marking elements of a list by 0 and 1 encodes the distribution to two sets
+        Dim bitmask As String = Convert.ToString(index, 2).PadLeft(n, "0"c)
+
+        Dim sub0, sub1 As New List(Of Integer)
+        Dim j As Integer = 0
+        For Each c As Char In bitmask
+            If c = "0"c Then
+                sub0.Add(prod(j))
+            Else
+                sub1.Add(prod(j))
+            End If
+            j += 1
+        Next
+
+        Dim binPartition As New List(Of List(Of Integer))
+        binPartition.Add(sub0)
+        binPartition.Add(sub1)
+        Return binPartition
+
+    End Function
+
+    Function PrintIntegerList(list As List(Of Integer)) As String
+
+        Dim str As String = "["
+        For i = 0 To list.Count - 1
+            If i = list.Count - 1 Then
+                str += CStr(list(i)) + "]"
+            Else
+                str += CStr(list(i)) + ", "
+            End If
+        Next
+
+        Return str
+
+    End Function
+
+    Sub MovingWedge()
+
+        'Collision detection parameters
+        intStep = 10
+        dCollSens = 2
+
+        'access the clash technology object
+        Dim cClashes As Clashes
+        cClashes = CATIA.ActiveDocument.Product.GetTechnologicalObject("Clashes")
+        'access the groups technology object
+        Dim cGroups As Groups
+        cGroups = CATIA.ActiveDocument.Product.GetTechnologicalObject("Groups")
+
+        'Distances from global axis system origin to assembly boundary (along global axis)
+        aAssemblyBoundaries(0) = -1 / 0     'max_X
+        aAssemblyBoundaries(1) = 1 / 0      'min_X
+        aAssemblyBoundaries(2) = -1 / 0     'max_Y
+        aAssemblyBoundaries(3) = 1 / 0      'min_Y
+        aAssemblyBoundaries(4) = -1 / 0     'max_Z
+        aAssemblyBoundaries(5) = 1 / 0      'min_Z
+
+        'Global coordinates, of which at least one has to be exceeded by the part origin, for that part to be "disassembled"
+        'in global axis directions
+        ReDim aRemovalDistances(cRelevantProducts.Count - 1, 5)
+        aRemovalDistances(0, 0) = 0#     'X_pos
+        aRemovalDistances(0, 1) = 0#     'X_neg
+        aRemovalDistances(0, 2) = 0#     'Y_pos
+        aRemovalDistances(0, 3) = 0#     'Y_neg
+        aRemovalDistances(0, 4) = 0#     'Z_pos
+        aRemovalDistances(0, 5) = 0#     'Z_neg
+
+        'Store information about secondary BB (6 distances to boundary planes from part origin along global x/y/z directions) - used to define aRemovalDistances
+        'Secondary BB: faces parallel to global origin planes and defined by outermost corner points of local BB of this part
+        ReDim aPartBBGlob(cRelevantProducts.Count - 1, 5)
+        aPartBBGlob(0, 0) = 0#           'x_part_glob_pos
+        aPartBBGlob(0, 1) = 0#           'x_part_glob_neg
+        aPartBBGlob(0, 2) = 0#           'y_part_glob_pos
+        aPartBBGlob(0, 3) = 0#           'y_part_glob_neg
+        aPartBBGlob(0, 4) = 0#           'z_part_glob_pos
+        aPartBBGlob(0, 5) = 0#           'z_part_glob_neg
+
+        'Initialize aPartBBGlob with safe values
+        For i = 0 To cRelevantProducts.Count - 1
+            aPartBBGlob(i, 0) = -1 / 0
+            aPartBBGlob(i, 1) = 1 / 0
+            aPartBBGlob(i, 2) = -1 / 0
+            aPartBBGlob(i, 3) = 1 / 0
+            aPartBBGlob(i, 4) = -1 / 0
+            aPartBBGlob(i, 5) = 1 / 0
+        Next
+
+        ReDim aInitPos(cRelevantProducts.Count - 1, 11)     'remember initial positions of the products
+
+        For i = 0 To cRelevantProducts.Count - 1
+
+            '########## this won't work if part document name is not = part number ######
+            ''Dim partI As Part
+            Dim prodI As Product
+            prodI = cRelevantProducts.Item(i)
+            Dim docName As String
+            docName = prodI.PartNumber + ".CATPart"
+            Debug.Print(">>> " & docName & " <<<")
+            GenerateBoundingBox(CATIA.Documents.Item(docName), prodI, i)
+            '############################################################################
+
+            'Determine assembly 's limits
+            'Dim partI As Part
+            'Dim prodI As Product
+            'prodI = cRelevantProducts.Item(i)
+            'Dim docName As String
+            'docName = prodI.PartNumber + ".CATPart"
+            'Dim oPartDoc As PartDocument
+            'Dim sPartPath As String
+            'sPartPath = prodI.GetMasterShapeRepresentationPathName
+            'oPartDoc = CATIA.Documents.Read(sPartPath)
+            'Debug.Print(">>> " & docName & " <<<")
+            ''CATIA.Documents.Item(docName)
+            'GenerateBoundingBox(oPartDoc, prodI, i)
+
+        Next i
+
+        'After the aAssemblyBoundaries and aPartBBGlob are calculated, define aRemovalDistances
+        For i = 0 To cRelevantProducts.Count - 1
+            aRemovalDistances(i, 0) = aAssemblyBoundaries(0) - aPartBBGlob(i, 1)
+            aRemovalDistances(i, 1) = aAssemblyBoundaries(1) - aPartBBGlob(i, 0)
+            aRemovalDistances(i, 2) = aAssemblyBoundaries(2) - aPartBBGlob(i, 3)
+            aRemovalDistances(i, 3) = aAssemblyBoundaries(3) - aPartBBGlob(i, 2)
+            aRemovalDistances(i, 4) = aAssemblyBoundaries(4) - aPartBBGlob(i, 5)
+            aRemovalDistances(i, 5) = aAssemblyBoundaries(5) - aPartBBGlob(i, 4)
+        Next i
+
+        'Clash analysis (every pair of products)
+        Dim int_i As Integer
+        Dim int_j As Integer
+        Dim n As Integer
+        n = cRelevantProducts.Count
+        Dim j As Integer
+        j = 6
+        ReDim MW_x_pos(n, n)
+        ReDim MW_y_pos(n, n)
+        ReDim MW_z_pos(n, n)
+
+        'Remember initial position P_i (initPos)
+        Dim p As Product
+        For Each p In cRelevantProducts
+            Dim pInd As Integer
+            pInd = IndexOfProduct(p)
+            Dim initPos(11)
+            Dim oPosition As Object
+            oPosition = p.Position
+            oPosition.GetComponents(initPos)
+            Dim ip As Integer
+            For ip = 0 To 11
+                aInitPos(pInd, ip) = initPos(ip)
+            Next ip
+        Next p
+
+        'Initialise MWs with 1
+        For int_i = 1 To n
+            For int_j = 1 To n
+                MW_x_pos(int_i - 1, int_j - 1) = 1
+                MW_y_pos(int_i - 1, int_j - 1) = 1
+                MW_z_pos(int_i - 1, int_j - 1) = 1
+            Next int_j
+        Next int_i
+
+        For int_i = 1 To n
+            Dim prodI As Product
+            prodI = cRelevantProducts.Item(int_i - 1)
+
+            'compute clash between part i and all other parts
+            Dim group1 As Group
+            Dim group2 As Group
+            group1 = cGroups.Add
+            group2 = cGroups.Add
+            group1.AddExplicit(cRelevantProducts.Item(int_i - 1))
+            For int_j = 1 To n
+                'If BoundingBoxesOverlap(int_i - 1, int_j - 1) Then
+                group2.AddExplicit(cRelevantProducts.Item(int_j - 1))
+                'End If
+            Next int_j
+
+            Dim d As Integer
+            For d = 0 To j - 1
+                Do
+                    moveProduct(prodI, d, True)
+                    'if disassembled, put part i back
+                    If productReachedFinalPosition(prodI, int_i - 1) Then
+                        Dim oPosition2 As Object
+                        oPosition2 = prodI.Position
+                        Dim initPosI2(11)
+                        Dim ip2 As Integer
+                        For ip2 = 0 To 11
+                            initPosI2(ip2) = aInitPos(int_i - 1, ip2)
+                        Next ip2
+                        oPosition2.SetComponents(initPosI2)
+                        Exit Do
+                    End If
+
+                    'reset as 0-index
+                    int_j = 0
+                    'create a new clash analysis
+                    Dim oClash As Clash
+                    oClash = cClashes.Add
+                    oClash.ComputationType = CatClashComputationType.catClashComputationTypeBetweenTwo
+                    oClash.FirstGroup = group1
+                    oClash.SecondGroup = group2
+                    oClash.InterferenceType = CatClashInterferenceType.catClashInterferenceTypeClearance
+                    oClash.Compute()
+                    Dim cConflicts As Conflicts
+                    cConflicts = oClash.Conflicts
+                    If cConflicts.Count > 0 Then
+                        Dim oConflict As Conflict
+                        Dim c As Integer
+                        For c = 1 To cConflicts.Count
+                            oConflict = cConflicts.Item(c)
+                            oConflict.Status = CatConflictStatus.catConflictStatusRelevant
+                            If oConflict.Type = CatConflictType.catConflictTypeClash Then
+                                If oConflict.Value < -dCollSens Then
+                                    'Debug.Print("Clash detected:")
+                                    'Debug.Print(oConflict.FirstProduct.Name & " - " & oConflict.SecondProduct.Name & " = " & oConflict.Value)
+                                    int_j = IndexOfProduct(oConflict.SecondProduct) + 1
+                                    If d = 0 Then
+                                        MW_x_pos(int_j - 1, int_i - 1) = 0
+                                    End If
+                                    If d = 1 Then
+                                        MW_y_pos(int_j - 1, int_i - 1) = 0
+                                    End If
+                                    If d = 2 Then
+                                        MW_z_pos(int_j - 1, int_i - 1) = 0
+                                    End If
+                                    If d = 3 Then
+                                        MW_x_pos(int_i - 1, int_j - 1) = 0
+                                    End If
+                                    If d = 4 Then
+                                        MW_y_pos(int_i - 1, int_j - 1) = 0
+                                    End If
+                                    If d = 5 Then
+                                        MW_z_pos(int_i - 1, int_j - 1) = 0
+                                    End If
+
+                                End If
+                            End If
+                        Next c
+                    End If
+                Loop
+            Next d
+        Next int_i
+
+        'Use Excel
+        Dim oExcel As Microsoft.Office.Interop.Excel.Application
+        oExcel = CreateObject("Excel.Application")
+        oExcel.Visible = True
+        oExcel.Workbooks.Add()
+        oExcel.ActiveWorkbook.Sheets.Add.Name = "MW_z"
+        oExcel.ActiveWorkbook.Sheets.Add.Name = "MW_y"
+        oExcel.ActiveWorkbook.Sheets.Add.Name = "MW_x"
+        Dim objSheet1, objSheet2, objSheet3 As Object
+        objSheet1 = oExcel.ActiveWorkbook.Worksheets(1)
+        objSheet2 = oExcel.ActiveWorkbook.Worksheets(2)
+        objSheet3 = oExcel.ActiveWorkbook.Worksheets(3)
+
+        'Output MW matrices
+        For int_i = 1 To n
+            For int_j = 1 To n
+                objSheet1.Cells(int_i, int_j).Value = MW_x_pos(int_i - 1, int_j - 1)
+                objSheet2.Cells(int_i, int_j).Value = MW_y_pos(int_i - 1, int_j - 1)
+                objSheet3.Cells(int_i, int_j).Value = MW_z_pos(int_i - 1, int_j - 1)
+            Next int_j
+        Next int_i
+
+        'Save and close excel workbook
+        Dim xlsFileName As String = CATIA.ActiveDocument.Name
+        Dim xlsPath As String = "D:\mikep\Files\RWTH\Master Produktionstechnik\Masterarbeit\Experimente\"
+        oExcel.ActiveWorkbook.SaveAs(Filename:=xlsPath & xlsFileName & "_Moving wedge.xlsx")
+        oExcel.ActiveWorkbook.Close(SaveChanges:=True)
+        'close the excel application
+        oExcel.Quit()
+        ReleaseObject(oExcel)
+
+    End Sub
+
+    Sub Liaison(theProduct As Product)
+
+        'Put the elementary parts on the deepest tree levels into cAllProducts list
+        ExtractProducts(theProduct, cAllProducts)
+
+        Dim outputText As String
+        outputText = "This assembly contains " + CStr(cAllProducts.Count) + " parts (including fasteners)"
+        MsgBox(outputText)
+
+        'Put all parts from cAllProducts excluding fasteners into cRelevantProducts list
+        DeactivateFasteners(theProduct)
+
+        Dim n As Integer = cRelevantProducts.Count
+        outputText = CStr(n) + " parts are considered in liaison graph generation"
+        MsgBox(outputText)
+
+        ReDim liaisonMatrix(n, n)
+
+        'access the clash technology object
+        Dim cClashes As Clashes
+        cClashes = CATIA.ActiveDocument.Product.GetTechnologicalObject("Clashes")
+        'access the groups technology object
+        Dim cGroups As Groups
+        cGroups = CATIA.ActiveDocument.Product.GetTechnologicalObject("Groups")
+
+        'Use Excel
+        Dim objExcel As Microsoft.Office.Interop.Excel.Application
+        objExcel = CreateObject("Excel.Application")
+        objExcel.Visible = True
+        objExcel.Workbooks.Add()
+        objExcel.ActiveWorkbook.Sheets.Add.Name = "Liaison Matrix"
+        Dim objSheet1 As Object
+        objSheet1 = objExcel.ActiveWorkbook.Worksheets(1)
+
+        'Clash analysis between all products (clash type = contact)
+        Dim int_i, int_j As Integer
+        For int_i = 1 To cRelevantProducts.Count
+            For int_j = 1 To cRelevantProducts.Count
+                If int_j > int_i Then 'only need one half of the combinations
+                    Dim group1 As Group
+                    Dim group2 As Group
+                    group1 = cGroups.Add
+                    group2 = cGroups.Add
+                    group1.AddExplicit(cRelevantProducts.Item(int_i - 1))
+                    group2.AddExplicit(cRelevantProducts.Item(int_j - 1))
+                    'create a new clash analysis
+                    Dim oClash As Clash
+                    oClash = cClashes.Add
+                    oClash.ComputationType = CatClashComputationType.catClashComputationTypeBetweenTwo
+                    oClash.FirstGroup = group1
+                    oClash.SecondGroup = group2
+                    oClash.InterferenceType = CatClashInterferenceType.catClashInterferenceTypeContact
+                    oClash.Compute
+                    Dim cConflicts As Conflicts
+                    cConflicts = oClash.Conflicts
+                    If cConflicts.Count > 0 Then
+                        'For each contact, write 1 in the spreadsheet
+                        'The matrix is symmetric and 0-diagonal
+                        objSheet1.Cells(int_i, int_j).Value = 1
+                        liaisonMatrix(int_i - 1, int_j - 1) = 1
+                        objSheet1.Cells(int_j, int_i).Value = 1
+                        liaisonMatrix(int_j - 1, int_i - 1) = 1
+                    Else
+                        objSheet1.Cells(int_i, int_j).Value = 0
+                        liaisonMatrix(int_i - 1, int_j - 1) = 0
+                        objSheet1.Cells(int_j, int_i).Value = 0
+                        liaisonMatrix(int_j - 1, int_i - 1) = 0
+                    End If
+                ElseIf int_j = int_i Then
+                    objSheet1.Cells(int_i, int_j).Value = 0
+                    liaisonMatrix(int_i - 1, int_j - 1) = 0
+                End If
+            Next int_j
+        Next int_i
+
+        'Save and close excel workbook
+        Dim xlsFileName As String = CATIA.ActiveDocument.Name
+        Dim xlsPath As String = "D:\mikep\Files\RWTH\Master Produktionstechnik\Masterarbeit\Experimente\"
+        objExcel.ActiveWorkbook.SaveAs(Filename:=xlsPath & xlsFileName & "_Liaisons.xlsx")
+        objExcel.ActiveWorkbook.Close(SaveChanges:=True)
+        'close the excel application
+        objExcel.Quit()
+        ReleaseObject(objExcel)
+
+    End Sub
+
+    Function GenerateBoundingBox(partDocument1 As PartDocument, objProduct As Product, i As Integer)
+        'Processes a single part to extract its origin XYZ, min/max X/Y/Z
+
+        CATIA.DisplayFileAlerts = False
+
+        'Declare variables
+        Dim axis
+        Dim remake
+        Dim part1 As Part
+        Dim axisref As Object
+        Dim shapeFactory1 As ShapeFactory
+        Dim hybridShapeFactory1 As HybridShapeFactory
+        Dim sStatus As String
+        Dim hybridShapeD1, hybridShapeD2, hybridShapeD3 As HybridShapeDirection
+        Dim a1, a2, a3, a4, a5, a6 'To change the offsets of the box
+        Dim bodies1 As Bodies
+        Dim body1 As Body
+        Dim reference1 As Reference
+        Dim HybridShapeExtremum1, HybridShapeExtremum2, HybridShapeExtremum3 As HybridShapeExtremum
+        Dim HybridShapeExtremum4, HybridShapeExtremum5, HybridShapeExtremum6 As HybridShapeExtremum
+        Dim originCoord(2)
+        Dim faceSel As Object
+
+        'Check whether we are processing a Part
+        If (InStr(partDocument1.Name, ".CATPart")) <> 0 Then
+            part1 = partDocument1.Part
+            hybridShapeFactory1 = part1.HybridShapeFactory
+
+            Dim axiscoord(2)
+            Dim axissyst
+
+            Dim axisSystem As AxisSystem
+            axisSystem = part1.AxisSystems.Item(1)
+
+            axissyst = axisSystem
+            axisref = axisSystem
+
+            Dim ref_name_systaxis As String
+            ref_name_systaxis = axissyst.Name
+
+            axissyst.IsCurrent = 1
+            axissyst.Name = "BBoxAxis"
+            Dim axname As String
+            axname = axissyst.Name
+
+            'Get Product's Position (rotation and translation)
+            '(for now: relative to the parent product!)
+            Dim PositionArray(11)
+            Dim oPosition As Object
+            oPosition = objProduct.Position
+            oPosition.GetComponents(PositionArray)
+
+            Dim originpoint As HybridShapePointCoord
+            axissyst.GetOrigin(originCoord)
+            'MsgBox "X0 = " & CStr(originCoord(0)) & vbNewLine & "Y0 = " & CStr(originCoord(1)) & vbNewLine & "Z0 = " & CStr(originCoord(2))
+
+            originpoint = hybridShapeFactory1.AddNewPointCoord(originCoord(0), originCoord(1), originCoord(2))
+            axisref = part1.CreateReferenceFromObject(originpoint)
+            axissyst.GetXAxis(axiscoord)
+            hybridShapeD1 = hybridShapeFactory1.AddNewDirectionByCoord(axiscoord(0), axiscoord(1), axiscoord(2))
+            axissyst.GetYAxis(axiscoord)
+            hybridShapeD2 = hybridShapeFactory1.AddNewDirectionByCoord(axiscoord(0), axiscoord(1), axiscoord(2))
+            axissyst.GetZAxis(axiscoord)
+            hybridShapeD3 = hybridShapeFactory1.AddNewDirectionByCoord(axiscoord(0), axiscoord(1), axiscoord(2))
+
+            'hybridShapeD1&2 are not set yet, but used for line creation (from origin of the axis system)
+            Dim Plane_line_1 As HybridShapeLinePtDir
+            Plane_line_1 = hybridShapeFactory1.AddNewLinePtDir(originpoint, hybridShapeD1, 0, 0, False)
+            Dim Plane_line_2 As HybridShapeLinePtDir
+            Plane_line_2 = hybridShapeFactory1.AddNewLinePtDir(originpoint, hybridShapeD2, 0, 0, False)
+
+            Dim oBodies As Bodies
+            oBodies = part1.Bodies
+
+            'J is defined to make unique names for Axis and the Body for the bounding box
+            Dim j As Integer
+            j = oBodies.Count
+
+            'Add new Body "Bounding Box."j to the Bodies of the current Part
+            bodies1 = part1.Bodies
+            body1 = bodies1.Add()
+            body1.Name = "Bounding Box." & j
+
+            Dim hybridBodies1 As HybridBodies
+            hybridBodies1 = body1.HybridBodies
+            Dim hybridBody1 As HybridBody
+            hybridBody1 = hybridBodies1.Add
+            hybridBody1.Name = "definition_points"
+
+
+            'Pick a face of the part to use for HybridShapeExtract
+            faceSel = CATIA.ActiveDocument.Selection
+            faceSel.Clear
+            'The current Part is added to the selection
+            faceSel.Add(part1)
+            'The selection gets rewritten by all the Faces of the selected part ("sel")
+            faceSel.Search("Type=Face,sel")
+
+            Debug.Print("Selected faces: " & CStr(faceSel.Count))
+            intNumFaces += faceSel.Count
+
+            'Need to check whether Extract crashes given this face and try the next one
+            Dim f As Integer
+            For f = 1 To faceSel.Count
+
+                'On Error GoTo ContinueFaceLoop
+
+                reference1 = faceSel.Item(f).Value
+                Debug.Print(TypeName(reference1))
+
+                Dim hybridShapeExtract1 As HybridShapeExtract
+                hybridShapeExtract1 = hybridShapeFactory1.AddNewExtract(reference1)
+                hybridShapeExtract1.PropagationType = 1 'point continuity
+                hybridShapeExtract1.ComplementaryExtract = False
+                hybridShapeExtract1.IsFederated = False
+                reference1 = hybridShapeExtract1
+
+                'Create the 6 Extrenum items for the Solid/Surf.  May not be single points, will be solved with next points
+                HybridShapeExtremum1 = hybridShapeFactory1.AddNewExtremum(reference1, hybridShapeD1, 1)
+                HybridShapeExtremum2 = hybridShapeFactory1.AddNewExtremum(reference1, hybridShapeD1, 0)
+                HybridShapeExtremum3 = hybridShapeFactory1.AddNewExtremum(reference1, hybridShapeD2, 1)
+                HybridShapeExtremum4 = hybridShapeFactory1.AddNewExtremum(reference1, hybridShapeD2, 0)
+                HybridShapeExtremum5 = hybridShapeFactory1.AddNewExtremum(reference1, hybridShapeD3, 1)
+                HybridShapeExtremum6 = hybridShapeFactory1.AddNewExtremum(reference1, hybridShapeD3, 0)
+
+                ' Creates Geometrical Set under the Solid, to contain the construction elements
+
+                Dim hybridBody2 As HybridBody
+                hybridBody2 = hybridBodies1.Item("definition_points")
+
+                hybridBody2.AppendHybridShape(HybridShapeExtremum1)
+                part1.InWorkObject = HybridShapeExtremum1
+                HybridShapeExtremum1.Name = "max_X"
+                hybridBody2.AppendHybridShape(HybridShapeExtremum2)
+                part1.InWorkObject = HybridShapeExtremum2
+                HybridShapeExtremum2.Name = "min_X"
+                hybridBody2.AppendHybridShape(HybridShapeExtremum3)
+                part1.InWorkObject = HybridShapeExtremum3
+                HybridShapeExtremum3.Name = "max_Y"
+                hybridBody2.AppendHybridShape(HybridShapeExtremum4)
+                part1.InWorkObject = HybridShapeExtremum4
+                HybridShapeExtremum4.Name = "min_Y"
+                hybridBody2.AppendHybridShape(HybridShapeExtremum5)
+                part1.InWorkObject = HybridShapeExtremum5
+                HybridShapeExtremum5.Name = "max_Z"
+                hybridBody2.AppendHybridShape(HybridShapeExtremum6)
+                part1.InWorkObject = HybridShapeExtremum6
+                HybridShapeExtremum6.Name = "min_Z"
+
+                part1.UpdateObject(HybridShapeExtremum1)
+                part1.UpdateObject(HybridShapeExtremum2)
+                part1.UpdateObject(HybridShapeExtremum3)
+                part1.UpdateObject(HybridShapeExtremum4)
+                part1.UpdateObject(HybridShapeExtremum5)
+                part1.UpdateObject(HybridShapeExtremum6)
+
+                'part1.Update
+
+                ' Creates a 6 single points using the Extrenums as refs, so if the Extrenum was a line or surf, you can still off planes to these points
+
+                Dim Ref1 As Reference
+                Ref1 = part1.CreateReferenceFromObject(HybridShapeExtremum1)
+                Dim Point1 As HybridShapePointCoord
+                Point1 = hybridShapeFactory1.AddNewPointCoordWithReference(0, 0, 0, Ref1)
+                hybridBody2.AppendHybridShape(Point1)
+                Dim point_ref11 As Reference
+                point_ref11 = part1.CreateReferenceFromObject(Point1)
+
+                Dim Ref2 As Reference
+                Ref2 = part1.CreateReferenceFromObject(HybridShapeExtremum2)
+                Dim Point2 As HybridShapePointCoord
+                Point2 = hybridShapeFactory1.AddNewPointCoordWithReference(0, 0, 0, Ref2)
+                hybridBody2.AppendHybridShape(Point2)
+                Dim point_ref12 As Reference
+                point_ref12 = part1.CreateReferenceFromObject(Point2)
+
+                Dim Ref3 As Reference
+                Ref3 = part1.CreateReferenceFromObject(HybridShapeExtremum3)
+                Dim Point3 As HybridShapePointCoord
+                Point3 = hybridShapeFactory1.AddNewPointCoordWithReference(0, 0, 0, Ref3)
+                hybridBody2.AppendHybridShape(Point3)
+                Dim point_ref13 As Reference
+                point_ref13 = part1.CreateReferenceFromObject(Point3)
+
+                Dim Ref4 As Reference
+                Ref4 = part1.CreateReferenceFromObject(HybridShapeExtremum4)
+                Dim Point4 As HybridShapePointCoord
+                Point4 = hybridShapeFactory1.AddNewPointCoordWithReference(0, 0, 0, Ref4)
+                hybridBody2.AppendHybridShape(Point4)
+                Dim point_ref14 As Reference
+                point_ref14 = part1.CreateReferenceFromObject(Point4)
+
+                Dim Ref5 As Reference
+                Ref5 = part1.CreateReferenceFromObject(HybridShapeExtremum5)
+                Dim Point5 As HybridShapePointCoord
+                Point5 = hybridShapeFactory1.AddNewPointCoordWithReference(0, 0, 0, Ref5)
+                hybridBody2.AppendHybridShape(Point5)
+                Dim point_ref5 As Reference
+                point_ref5 = part1.CreateReferenceFromObject(Point5)
+
+                Dim Ref6 As Reference
+                Ref6 = part1.CreateReferenceFromObject(HybridShapeExtremum6)
+                Dim Point6 As HybridShapePointCoord
+                Point6 = hybridShapeFactory1.AddNewPointCoordWithReference(0, 0, 0, Ref6)
+                hybridBody2.AppendHybridShape(Point6)
+                Dim point_ref6 As Reference
+                point_ref6 = part1.CreateReferenceFromObject(Point6)
+
+                part1.UpdateObject(Point1)
+                part1.UpdateObject(Point2)
+                part1.UpdateObject(Point3)
+                part1.UpdateObject(Point4)
+                part1.UpdateObject(Point5)
+                part1.UpdateObject(Point6)
+
+                'part1.Update
+
+                axissyst.IsCurrent = 1
+
+                'Read extremum coordinates
+                Dim coord(2) As Object
+                Dim absCoord(2) As Object
+
+                Dim TheSPAWorkbench As Workbench
+                TheSPAWorkbench = CATIA.ActiveDocument.GetWorkbench("SPAWorkbench")
+
+                Dim TheMeasurable
+
+                Debug.Print("Extremum coordinates in the local Axis System:")
+
+                'Transform local extrema coordinates into global coordinates and update aAssemblyBoundaries
+
+                'Distances to Part Bounding Box faces in local coordinates
+                Dim aBBDistances(5) As Double
+                '8 corner points of the Part Bounding Box (BB) in local coordinates (8x3 array)
+                Dim aBBCornersLocal(7, 2) As Double
+
+                'max_X_loc
+                TheMeasurable = TheSPAWorkbench.GetMeasurable(point_ref11)
+                TheMeasurable.GetPoint(coord)
+                aBBDistances(0) = coord(0)
+                absCoord = {0.0, 0.0, 0.0}
+                Call Coord_Transform(coord, absCoord, objProduct, True)
+                Debug.Print(Point1.Name & " (" & Ref1.DisplayName & "): [" & absCoord(0) & " " & absCoord(1) & " " & absCoord(2) & "]")
+
+                'min_X_loc
+                TheMeasurable = TheSPAWorkbench.GetMeasurable(point_ref12)
+                TheMeasurable.GetPoint(coord)
+                aBBDistances(1) = coord(0)
+                absCoord = {0.0, 0.0, 0.0}
+                Call Coord_Transform(coord, absCoord, objProduct, True)
+                Debug.Print(Point2.Name & " (" & Ref2.DisplayName & "): [" & absCoord(0) & " " & absCoord(1) & " " & absCoord(2) & "]")
+
+                'max_Y_loc
+                TheMeasurable = TheSPAWorkbench.GetMeasurable(point_ref13)
+                TheMeasurable.GetPoint(coord)
+                aBBDistances(2) = coord(1)
+                absCoord = {0.0, 0.0, 0.0}
+                Call Coord_Transform(coord, absCoord, objProduct, True)
+                Debug.Print(Point3.Name & " (" & Ref3.DisplayName & "): [" & absCoord(0) & " " & absCoord(1) & " " & absCoord(2) & "]")
+
+                'min_Y_loc
+                TheMeasurable = TheSPAWorkbench.GetMeasurable(point_ref14)
+                TheMeasurable.GetPoint(coord)
+                aBBDistances(3) = coord(1)
+                absCoord = {0.0, 0.0, 0.0}
+                Call Coord_Transform(coord, absCoord, objProduct, True)
+                Debug.Print(Point4.Name & " (" & Ref4.DisplayName & "): [" & absCoord(0) & " " & absCoord(1) & " " & absCoord(2) & "]")
+
+                'max_Z_loc
+                TheMeasurable = TheSPAWorkbench.GetMeasurable(point_ref5)
+                TheMeasurable.GetPoint(coord)
+                aBBDistances(4) = coord(2)
+                absCoord = {0.0, 0.0, 0.0}
+                Call Coord_Transform(coord, absCoord, objProduct, True)
+                Debug.Print(Point5.Name & " (" & Ref5.DisplayName & "): [" & absCoord(0) & " " & absCoord(1) & " " & absCoord(2) & "]")
+
+                'min_Z_loc
+                TheMeasurable = TheSPAWorkbench.GetMeasurable(point_ref6)
+                TheMeasurable.GetPoint(coord)
+                aBBDistances(5) = coord(2)
+                absCoord = {0.0, 0.0, 0.0}
+                Call Coord_Transform(coord, absCoord, objProduct, True)
+                Debug.Print(Point6.Name & " (" & Ref6.DisplayName & "): [" & absCoord(0) & " " & absCoord(1) & " " & absCoord(2) & "]")
+
+                'Generate 8 corner points (local coordinates) to the aBBCornersLocal
+                Dim m, n, k, c As Integer
+                c = 0
+                For m = 0 To 1
+                    For n = 2 To 3
+                        For k = 4 To 5
+                            aBBCornersLocal(c, 0) = aBBDistances(m)
+                            aBBCornersLocal(c, 1) = aBBDistances(n)
+                            aBBCornersLocal(c, 2) = aBBDistances(k)
+                            'Transform corner point into global coordinates
+                            coord(0) = aBBCornersLocal(c, 0)
+                            coord(1) = aBBCornersLocal(c, 1)
+                            coord(2) = aBBCornersLocal(c, 2)
+                            Call Coord_Transform(coord, absCoord, objProduct, True)
+                            'Record values to aPartBBGlob
+                            Dim CCC(2) As Double    'Corner Coordinates in axis system Congruent to global but in the part's origin
+                            CCC(0) = absCoord(0) - PositionArray(9)
+                            CCC(1) = absCoord(1) - PositionArray(10)
+                            CCC(2) = absCoord(2) - PositionArray(11)
+                            If CCC(0) > aPartBBGlob(i, 0) Then
+                                aPartBBGlob(i, 0) = CCC(0)
+                            End If
+                            If CCC(0) < aPartBBGlob(i, 1) Then
+                                aPartBBGlob(i, 1) = CCC(0)
+                            End If
+                            If CCC(1) > aPartBBGlob(i, 2) Then
+                                aPartBBGlob(i, 2) = CCC(1)
+                            End If
+                            If CCC(1) < aPartBBGlob(i, 3) Then
+                                aPartBBGlob(i, 3) = CCC(1)
+                            End If
+                            If CCC(2) > aPartBBGlob(i, 4) Then
+                                aPartBBGlob(i, 4) = CCC(2)
+                            End If
+                            If CCC(2) < aPartBBGlob(i, 5) Then
+                                aPartBBGlob(i, 5) = CCC(2)
+                            End If
+                            'Update aAssemblyBoundaries (global)
+                            If absCoord(0) > aAssemblyBoundaries(0) Then
+                                aAssemblyBoundaries(0) = absCoord(0)
+                            End If
+                            If absCoord(0) < aAssemblyBoundaries(1) Then
+                                aAssemblyBoundaries(1) = absCoord(0)
+                            End If
+                            If absCoord(1) > aAssemblyBoundaries(2) Then
+                                aAssemblyBoundaries(2) = absCoord(1)
+                            End If
+                            If absCoord(1) < aAssemblyBoundaries(3) Then
+                                aAssemblyBoundaries(3) = absCoord(1)
+                            End If
+                            If absCoord(2) > aAssemblyBoundaries(4) Then
+                                aAssemblyBoundaries(4) = absCoord(2)
+                            End If
+                            If absCoord(2) < aAssemblyBoundaries(5) Then
+                                aAssemblyBoundaries(5) = absCoord(2)
+                            End If
+                            c = c + 1
+                        Next k
+                    Next n
+                Next m
+
+                part1.Update()
+
+                Exit For
+
+                'ContinueFaceLoop:
+
+            Next f
+
+        Else
+            MsgBox("The active document must be a CATPart")
+        End If
+
+    End Function
+
+    Sub ExtractProducts(oCurrentProduct As Product, cElementaryParts As ArrayList)
+
+        Dim oCurrentTreeNode As Product
+        Dim i As Integer
+
+        If oCurrentProduct.Products.Count = 0 Then
+            cElementaryParts.Add(oCurrentProduct)
+        End If
+
+        For i = 1 To oCurrentProduct.Products.Count
+            oCurrentTreeNode = oCurrentProduct.Products.Item(i)
+
+            'recursive
+            If oCurrentTreeNode.Products.Count > 0 Then
+                ExtractProducts(oCurrentTreeNode, cElementaryParts)
+            Else
+                Debug.Print(oCurrentTreeNode.PartNumber & " (" & oCurrentTreeNode.Name & ") is a leaf product")
+                'remove special characters from the part number
+                Dim newPartNo As String
+                Dim newCharacter As String
+                newCharacter = " "
+                newPartNo = oCurrentTreeNode.PartNumber
+                newPartNo = Replace(newPartNo, "<", newCharacter)
+                newPartNo = Replace(newPartNo, ">", newCharacter)
+                newPartNo = Replace(newPartNo, "/", newCharacter)
+                oCurrentTreeNode.PartNumber = newPartNo
+                cElementaryParts.Add(oCurrentTreeNode)
+            End If
+
+        Next
+
+    End Sub
+
+    Function DeactivateFasteners(objProduct As Product)
+
+        Dim objParts As INFITF.Collection
+        'On the top level of product tree
+        objParts = objProduct.Products
+        'Recursive
+        'objParts = cAllProducts
+        Dim selection1 As Selection
+        selection1 = CATIA.ActiveDocument.Selection
+        selection1.Clear()
+
+        Dim intFasteners As Integer
+        intFasteners = 0
+
+        For Each prod In objParts
+            Dim sName As String
+            Dim primFastSize As Integer
+
+            sName = LCase(prod.PartNumber)
+            'Debug.Print sName
+            If InStr(sName, "bolt") > 0 Then
+                Debug.Print(prod.Name + " was identified as a bolt")
+                selection1.Add(prod)
+
+                primaryFasteners.Add(prod)
+
+                CATIA.StartCommand("Activate / Deactivate Component")
+                selection1.Clear()
+                intFasteners = intFasteners + 1
+            ElseIf InStr(sName, "screw") > 0 Or InStr(sName, "schraube") > 0 Or (InStr(sName, "iso") > 0 And InStr(sName, "4762") > 0) Or (InStr(sName, "din") > 0 And (InStr(sName, "912") > 0 Or InStr(sName, "933") > 0)) Then
+                Debug.Print(prod.Name + " was identified as a screw")
+                selection1.Add(prod)
+
+                primaryFasteners.Add(prod)
+
+                CATIA.StartCommand("Activate / Deactivate Component")
+                selection1.Clear()
+                intFasteners = intFasteners + 1
+            ElseIf InStr(sName, "clip") > 0 Then
+                Debug.Print(prod.Name + " was identified as a clip")
+                selection1.Add(prod)
+
+                primaryFasteners.Add(prod)
+
+                CATIA.StartCommand("Activate / Deactivate Component")
+                selection1.Clear()
+                intFasteners = intFasteners + 1
+            ElseIf InStr(sName, "wedge") > 0 Then
+                Debug.Print(prod.Name + " was identified as a wedge")
+                selection1.Add(prod)
+
+                primaryFasteners.Add(prod)
+
+                CATIA.StartCommand("Activate / Deactivate Component")
+                selection1.Clear()
+                intFasteners = intFasteners + 1
+                'ElseIf InStr(sName, "pin") > 0 Then
+                '    Debug.Print(prod.Name + " was identified as a pin")
+                '    selection1.Add(prod)
+
+                '    primaryFasteners.Add(prod)
+
+                '    CATIA.StartCommand("Activate / Deactivate Component")
+                '    selection1.Clear()
+                '    intFasteners = intFasteners + 1
+            ElseIf InStr(sName, "nut") > 0 Or (InStr(sName, "iso") > 0 And InStr(sName, "4161") > 0) Or (InStr(sName, "din") > 0 And (InStr(sName, "934") > 0 Or InStr(sName, "439") > 0)) Then
+                Debug.Print(prod.Name + " was identified as a nut")
+                selection1.Add(prod)
+
+                secondaryFasteners.Add(prod)
+
+                CATIA.StartCommand("Activate / Deactivate Component")
+                selection1.Clear()
+                intFasteners = intFasteners + 1
+            ElseIf InStr(sName, "washer") > 0 Or (InStr(sName, "din") > 0 And (InStr(sName, "9021") > 0 Or InStr(sName, "125") > 0 Or InStr(sName, "127") > 0)) Then
+                Debug.Print(prod.Name + " was identified as a washer")
+                selection1.Add(prod)
+
+                secondaryFasteners.Add(prod)
+
+                CATIA.StartCommand("Activate / Deactivate Component")
+                selection1.Clear()
+                intFasteners = intFasteners + 1
+            Else
+                cRelevantProducts.Add(prod)
+            End If
+        Next
+
+        Debug.Print("Deactivated " + CStr(intFasteners) + " fasteners")
+
+        MsgBox("Fasteners are deacivated. Press OK to proceed.")
+
+    End Function
+
+    Private Sub ReleaseObject(ByVal obj As Object)
+        Try
+            Dim intRel As Integer = 0
+            Do
+                intRel = System.Runtime.InteropServices.Marshal.ReleaseComObject(obj)
+            Loop While intRel > 0
+            'MsgBox("Final Released obj # " & intRel)
+        Catch ex As Exception
+            MsgBox("Error releasing object" & ex.ToString)
+            obj = Nothing
+        Finally
+            GC.Collect()
+        End Try
+    End Sub
+
+    Function Det3x3(dX11 As Double, dX12 As Double, dX13 As Double,
+            dX21 As Double, dX22 As Double, dX23 As Double,
+            dX31 As Double, dX32 As Double, dX33 As Double) As Double
+        '***********************************************
+        '*
+        '* 3x3 matrix determinant calculation (direct)
+        '*
+        '***********************************************
+
+        Det3x3 = dX11 * dX22 * dX33 + dX12 * dX23 * dX31 + dX21 * dX32 * dX13 -
+             dX13 * dX22 * dX31 - dX12 * dX21 * dX33 - dX23 * dX32 * dX11
+    End Function
+    Function Inv3x3(dX11 As Double, dX12 As Double, dX13 As Double,
+           dX21 As Double, dX22 As Double, dX23 As Double,
+           dX31 As Double, dX32 As Double, dX33 As Double, aInv() As Double) As Double()
+        '***********************************************
+        '*
+        '* 3x3 matrix inverse calculation (direct)
+        '*
+        '***********************************************
+        Dim dDet As Double
+
+        ReDim aInv(8)
+
+        dDet = Det3x3(dX11, dX12, dX13, dX21, dX22, dX23, dX31, dX32, dX33)
+        'If dDet = 0 Then Exit Function
+        If dDet = 0 Then Return Nothing
+
+        aInv(0) = (dX22 * dX33 - dX23 * dX32) / Math.Abs(dDet)
+        aInv(1) = (dX13 * dX32 - dX12 * dX33) / Math.Abs(dDet)
+        aInv(2) = (dX12 * dX23 - dX13 * dX22) / Math.Abs(dDet)
+        aInv(3) = (dX23 * dX31 - dX21 * dX33) / Math.Abs(dDet)
+        aInv(4) = (dX11 * dX33 - dX13 * dX31) / Math.Abs(dDet)
+        aInv(5) = (dX13 * dX21 - dX11 * dX23) / Math.Abs(dDet)
+        aInv(6) = (dX21 * dX32 - dX22 * dX31) / Math.Abs(dDet)
+        aInv(7) = (dX12 * dX31 - dX11 * dX32) / Math.Abs(dDet)
+        aInv(8) = (dX11 * dX22 - dX12 * dX21) / Math.Abs(dDet)
+
+        Return aInv
+
+    End Function
+    Sub Coord_Transform(aRel() As Object, aAbs() As Object, oProduct As Product, bRecursively As Boolean)
+
+        Dim vProduct As Object, vCoord(11)
+        Dim oFatherProduct As Product
+        Dim aInv(8) As Double
+
+        'Exit condition, empty object
+        If oProduct Is Nothing Then Exit Sub
+
+        'Redim absolute coords matrix
+        On Error Resume Next
+        'aAbs = {0.0, 0.0, 0.0}
+        On Error GoTo 0
+
+        'Calculate product coordinates
+        vProduct = oProduct
+        vProduct.Position.GetComponents(vCoord)
+
+        'Calculate inverse matrix
+        If IsNothing(Inv3x3(CDbl(vCoord(0)), CDbl(vCoord(1)), CDbl(vCoord(2)),
+                 CDbl(vCoord(3)), CDbl(vCoord(4)), CDbl(vCoord(5)),
+                 CDbl(vCoord(6)), CDbl(vCoord(7)), CDbl(vCoord(8)), aInv)) Then
+            'MsgBox "Error, degenerate transformation", vbOKOnly
+            Exit Sub
+        Else
+            aInv = Inv3x3(CDbl(vCoord(0)), CDbl(vCoord(1)), CDbl(vCoord(2)),
+                 CDbl(vCoord(3)), CDbl(vCoord(4)), CDbl(vCoord(5)),
+                 CDbl(vCoord(6)), CDbl(vCoord(7)), CDbl(vCoord(8)), aInv)
+        End If
+
+        'Calculate transformation
+        aAbs(0) = vCoord(9) + aInv(0) * aRel(0) + aInv(1) * aRel(1) + aInv(2) * aRel(2)
+        aAbs(1) = vCoord(10) + aInv(3) * aRel(0) + aInv(4) * aRel(1) + aInv(5) * aRel(2)
+        aAbs(2) = vCoord(11) + aInv(6) * aRel(0) + aInv(7) * aRel(1) + aInv(8) * aRel(2)
+
+        'If recursive option sepecified, search for parents and applies the transformation again
+        If bRecursively Then
+
+            'Try to assign parent
+            oFatherProduct = Nothing
+            On Error Resume Next
+            oFatherProduct = oProduct.Parent.Parent
+            On Error GoTo 0
+
+            'If OK, recalculate coords
+            If oFatherProduct Is Nothing Then
+            Else
+                If oFatherProduct.PartNumber + ".CATProduct" = CATIA.ActiveDocument.Name Then
+                    aRel(0) = aAbs(0)
+                    aRel(1) = aAbs(1)
+                    aRel(2) = aAbs(2)
+                    Coord_Transform(aRel, aAbs, oFatherProduct, False)
+                Else
+                    aRel(0) = aAbs(0)
+                    aRel(1) = aAbs(1)
+                    aRel(2) = aAbs(2)
+                    Coord_Transform(aRel, aAbs, oFatherProduct, True)
+                End If
+            End If
+
+        End If
+
+    End Sub
+
+    Function IndexOfProduct(objProd As Product) As Integer
+        Dim dummyObj As Product
+        Dim index As Integer
+        index = 0
+        For Each dummyObj In cRelevantProducts
+            If dummyObj.Name = objProd.Name Then
+                Return index
+            End If
+            index = index + 1
+        Next
+    End Function
+
+    Sub moveProduct(objProd As Product, intDir As Integer, bPositive As Boolean)
+        Dim intS As Integer
+        If bPositive = True Then
+            intS = intStep
+        Else
+            intS = -intStep
+        End If
+        Dim moveArray(11)
+        moveArray(0) = 1
+        moveArray(1) = 0
+        moveArray(2) = 0
+        moveArray(3) = 0
+        moveArray(4) = 1
+        moveArray(5) = 0
+        moveArray(6) = 0
+        moveArray(7) = 0
+        moveArray(8) = 1
+        moveArray(9) = 0
+        moveArray(10) = 0
+        moveArray(11) = 0
+
+        Dim axisArray(11)
+
+        'movement along global axis
+        If intDir < 6 Then
+            'Attention: for now it is assumed that all products are on the top level of specification tree
+            If intDir = 0 Then
+                moveArray(9) = intS
+            End If
+            If intDir = 1 Then
+                moveArray(10) = intS
+            End If
+            If intDir = 2 Then
+                moveArray(11) = intS
+            End If
+            If intDir = 3 Then
+                moveArray(9) = -intS
+            End If
+            If intDir = 4 Then
+                moveArray(10) = -intS
+            End If
+            If intDir = 5 Then
+                moveArray(11) = -intS
+            End If
+        Else    'movement along local axis
+            Dim oPosition As Object
+            oPosition = objProd.Position
+            oPosition.GetComponents(axisArray)
+            If intDir = 6 Then
+                moveArray(9) = axisArray(0) * intS
+                moveArray(10) = axisArray(1) * intS
+                moveArray(11) = axisArray(2) * intS
+            End If
+            If intDir = 7 Then
+                moveArray(9) = axisArray(3) * intS
+                moveArray(10) = axisArray(4) * intS
+                moveArray(11) = axisArray(5) * intS
+            End If
+            If intDir = 8 Then
+                moveArray(9) = axisArray(6) * intS
+                moveArray(10) = axisArray(7) * intS
+                moveArray(11) = axisArray(8) * intS
+            End If
+            If intDir = 9 Then
+                moveArray(9) = -axisArray(0) * intS
+                moveArray(10) = -axisArray(1) * intS
+                moveArray(11) = -axisArray(2) * intS
+            End If
+            If intDir = 10 Then
+                moveArray(9) = -axisArray(3) * intS
+                moveArray(10) = -axisArray(4) * intS
+                moveArray(11) = -axisArray(5) * intS
+            End If
+            If intDir = 11 Then
+                moveArray(9) = -axisArray(6) * intS
+                moveArray(10) = -axisArray(7) * intS
+                moveArray(11) = -axisArray(8) * intS
+            End If
+        End If
+        Dim prod1nd As Product
+        prod1nd = objProd
+        prod1nd.Move.Apply(moveArray)
+
+    End Sub
+
+    Function BoundingBoxesOverlap(int_i As Integer, iStaticProduct As Integer) As Boolean
+        If aPartBBGlob(int_i, 1) >= aPartBBGlob(iStaticProduct, 0) Or aPartBBGlob(int_i, 0) <= aPartBBGlob(iStaticProduct, 1) Then
+            If aPartBBGlob(int_i, 3) >= aPartBBGlob(iStaticProduct, 2) Or aPartBBGlob(int_i, 2) <= aPartBBGlob(iStaticProduct, 3) Then
+                If aPartBBGlob(int_i, 5) >= aPartBBGlob(iStaticProduct, 4) Or aPartBBGlob(int_i, 4) <= aPartBBGlob(iStaticProduct, 5) Then
+                    Return False
+                End If
+            End If
+        End If
+        Return True
+    End Function
+
+    Function productReachedFinalPosition(objProd As Product, i1 As Integer) As Boolean
+        productReachedFinalPosition = False
+        Dim posArray(11)
+        Dim oPosition As Object
+        oPosition = objProd.Position
+        oPosition.GetComponents(posArray)
+        If posArray(9) > aRemovalDistances(i1, 0) Then
+            productReachedFinalPosition = True
+            'MsgBox "X+ removal distance reached by " & objProd.Name
+        End If
+        If posArray(9) < aRemovalDistances(i1, 1) Then
+            productReachedFinalPosition = True
+            'MsgBox "X- removal distance reached by " & objProd.Name
+        End If
+        If posArray(10) > aRemovalDistances(i1, 2) Then
+            productReachedFinalPosition = True
+            'MsgBox "Y+ removal distance reached by " & objProd.Name
+        End If
+        If posArray(10) < aRemovalDistances(i1, 3) Then
+            productReachedFinalPosition = True
+            'MsgBox "Y- removal distance reached by " & objProd.Name
+        End If
+        If posArray(11) > aRemovalDistances(i1, 4) Then
+            productReachedFinalPosition = True
+            'MsgBox "Z+ removal distance reached by " & objProd.Name
+        End If
+        If posArray(11) < aRemovalDistances(i1, 5) Then
+            productReachedFinalPosition = True
+            'MsgBox "Z- removal distance reached by " & objProd.Name
+        End If
+    End Function
+
+End Class
diff --git a/CatiaNetTest/CatiaNetTest.vbproj b/CatiaNetTest/CatiaNetTest.vbproj
index 36b6ada..9ae2bfb 100644
--- a/CatiaNetTest/CatiaNetTest.vbproj
+++ b/CatiaNetTest/CatiaNetTest.vbproj
@@ -73,6 +73,7 @@
     <Import Include="System.Threading.Tasks" />
   </ItemGroup>
   <ItemGroup>
+    <Compile Include="AndOrDataExtraction.vb" />
     <Compile Include="AssemblyTiers2.vb" />
     <Compile Include="Form1.vb">
       <SubType>Form</SubType>
diff --git a/CatiaNetTest/Form1.vb b/CatiaNetTest/Form1.vb
index 9055401..8fe82d6 100644
--- a/CatiaNetTest/Form1.vb
+++ b/CatiaNetTest/Form1.vb
@@ -35,7 +35,7 @@ Public Class Form1
         Try
             myAssemblyTiers.CatMain()
         Catch ex As Exception
-
+            Debug.WriteLine(ex.ToString())
         End Try
 
     End Sub
@@ -51,7 +51,19 @@ Public Class Form1
         Try
             hierarchicalAlgorithm.CatMain()
         Catch ex As Exception
+            Debug.WriteLine(ex.ToString())
+        End Try
+    End Sub
+
+    Private Sub Button4_Click(sender As Object, e As EventArgs) Handles Button4.Click
 
+        Dim andOrAlgorithm As AndOrDataExtraction = New AndOrDataExtraction()
+
+        Try
+            andOrAlgorithm.CatMain()
+        Catch ex As Exception
+            Debug.WriteLine(ex.ToString())
         End Try
     End Sub
+
 End Class
diff --git a/CatiaNetTest/bin/Debug/CatiaNetTest.exe b/CatiaNetTest/bin/Debug/CatiaNetTest.exe
index fa991fb5175975f1cdbde8fe6a0c9800d804d76f..6831f4de9d7aa37f0171ea57245af57abe0e8f20 100644
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diff --git a/CatiaNetTest/bin/Debug/CatiaNetTest.pdb b/CatiaNetTest/bin/Debug/CatiaNetTest.pdb
index 5dfd60943eb0b41beaad1d9baf7ba04a2a5823cb..8a459496ce726433a93890ed6461cd883cd898ae 100644
GIT binary patch
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diff --git a/CatiaNetTest/obj/Debug/CatiaNetTest.exe b/CatiaNetTest/obj/Debug/CatiaNetTest.exe
index fa991fb5175975f1cdbde8fe6a0c9800d804d76f..6831f4de9d7aa37f0171ea57245af57abe0e8f20 100644
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delta 973
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zCi7%*9`ngRIQaxQJsB7nIK4oGH;C|=%*^FGIfYABkTV#>4*?OOAR=sX9hdK94Q@Ur
z&Zx<^xqP{!L837rB6hMdx9{XB+`^MTaEne}!R<NOk4Jbi3y<(*c24unNj#Puyy2O7
zDf#8adT#kexy6%Li1=`G1y>fAq~_{H<mOENE8;VGiKx)zC{ZtdKB%}$QDS*!Ui#!M
zqCPy_P%-EHqSVRkVm_Q4xy8x(MLC&ClM}^!Fti*JgBT|*?#0dq(K@+Y+=q|XF*!N4
zxHvN@Gbgj8a`Jg`pUIO&#3y@6c%isvu7r<}AViy<OKL$*er0ZIUdiOI5@-(bkn~~H
znY>>>X0nBZ(Bwsu^WpAvNi0d6>>=d?w|#*Wn%=Kc$e!?!Mkt*xjjD8#46@1u8HCC`
zGN_@bBn$CRjjWf5Fx34aMTvREiOD6I`FX{Y&&&D<@Ixj1N^?_-GLwrZ8_4-g=8%<{
zJW<XI?tXAMKayJr4xS!)FJU35E|ACcf(vs%k@i|1;S?tYWJk_ZK*;=506S`PuwpPP
z*Y>KIFiDdKos6d@e^is$d_ql`5h3;hBsQ5>BY|s!eSE#(RW2*WFJPg54S9sBUtpmN
z8uAEL43inPB_<1ME<^|kfrYMUBAF!z651T5wG_!p50KboS)GLl^P|8*4|I^sPXG%k
y>Lwsm<$#42>msQt0t-FSMRG+8SZKN4LJpY6CkN<TA~+NEEfG#$1Xlb;KN|ol&O_h;

diff --git a/CatiaNetTest/obj/Debug/DesignTimeResolveAssemblyReferences.cache b/CatiaNetTest/obj/Debug/DesignTimeResolveAssemblyReferences.cache
index 20323601aaea24770b5ca260161b363f78dd2615..bc53cc6643fca0a22d48b617443ff303418c309c 100644
GIT binary patch
delta 54
zcmZqUYUA4A&&bF#Ie>9LWBOzPrkKgz%sh;olX;km7`Y}dV2qr6gGq>$n}LBL9wfVY
I2eTg|0DbZehyVZp

delta 54
zcmZqUYUA4A&&bF&Ie>9LWA0=DrkKe$nS>ZQCof=(ob1Xh#K<+7hbf1Zn}LBL9wfVY
I2eTg|0E(6kg8%>k

-- 
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