class AliITSv11GeometrySupport: public AliITSv11Geometry

 Creates the SPD thermal shield as a volume assembly
 and adds it to the mother volume
 (this is actually a merge of the previous SPDThermalSheald method
 of AliITSv11GeometrySupport.cxx,v 1.9 2007/06/06 and the
 CreateSPDThermalShield method of AliITSv11Hybrid)

 Input:
         moth : the TGeoVolume owing the volume structure
         mgr  : the GeoManager (default gGeoManager)
 Output:

 Created:         ???          ???
 Updated:      11 Dec 2007  Mario Sitta
 Updated:      20 Mar 2012  Mario Sitta  Reimplemented with simpler shapes
 Updated:      20 Jul 2012  Mario Sitta  Reimplemented with Composite Shape
 Updated:      12 Oct 2012  Mario Sitta  Composite Shape also for EndCap

 Technical data are taken from:  ALICE-Thermal Screen "Cone transition"
 (thermal-screen1_a3.ps), "Cylinder" (thermal-screen2_a3.ps), "Half
 assembly" (thermal-screen3_a3.ps), "Flange" (thermal-screen4_a3.ps)

 Creates the proper sequence of X and Y coordinates to determine
 the base XTru polygon for the SPD thermal shapes

 Input:
        ina, inb : inner shape sides
        inr      : inner radius
        oua, oub : outer shape sides
        our      : outer radius
        t        : theta angle

 Output:
        x, y : coordinate vectors [24]

 Created:      14 Nov 2007  Mario Sitta
 Updated:      11 Dec 2007  Mario Sitta

 Creates the proper sequence of X and Y coordinates to determine
 the SPD Omega XTru polygon

 Input:
        xin, yin : coordinates of the air volume
        d        : Omega shape thickness
        t        : theta angle

 Output:
        x, y     : coordinate vectors [48]

 Created:      17 Nov 2007  Mario Sitta
 Updated:      11 Dec 2007  Mario Sitta
 Updated:      20 Feb 2009  Mario Sitta       New algorithm (the old one
                                              gives erroneous vertexes)

 Creates the partial sequence of X and Y coordinates to determine
 the lateral part of the SPD thermal shield

 Input:
        a, b : shape sides
        r    : radius
        t    : theta angle

 Output:
        x, y : coordinate vectors [6]

 Created:      14 Nov 2007  Mario Sitta

 Determines the X and Y of the first internal point of the Omega shape
 (i.e. the coordinates of a point given two parallel lines passing by
 two points and placed at a known distance)

 Input:
        x1, y1 : first point
        x2, y2 : second point
        d      : distance between the two lines

 Output:
        x, y   : coordinate of the point

 Created:      22 Feb 2009  Mario Sitta

 Given two points (x1,y1) and (x2,y2), determines the point (x,y)
 lying on the line parallel to the line passing by these points,
 at a distance d and passing by the point (x3,y3), which is symmetric to
 the third point with respect to the axis of the segment delimited by
 the two first points.

 Input:
        x1, y1 : first point
        x2, y2 : second point
        x3, y3 : third point
        d      : distance between the two lines

 Output:
        x, y   : coordinate of the reflected point

 Created:      22 Feb 2009  Mario Sitta

 Creates the SDD support cone and cylinder geometry as a
 volume assembly and adds it to the mother volume
 (part of this code is taken or anyway inspired to SDDCone method
 of AliITSv11GeometrySupport.cxx,v 1.9 2007/06/06)

 Input:
         moth : the TGeoVolume owing the volume structure
         mgr  : the GeoManager (default gGeoManager)
 Output:

 Created:         ???       Bjorn S. Nilsen
 Updated:      18 Feb 2008  Mario Sitta
 Updated:      25 Jul 2008  Mario Sitta   SDDCarbonFiberCone simpler
 Updated:      10 Jun 2010  Mario Sitta   Cables across cone holes added

 Technical data are taken from:  "Supporto Generale Settore SDD"
 (technical drawings ALR-0816/1-B), "Supporto Globale Settore SDD"
 (technical drawings ALR-0816/2A, ALR-0816/2B, ALR-0816/2C, ALR-0816/2D),
 private communication with B. Giraudo

 Creates the SSD support cone and cylinder geometry. as a
 volume assembly and adds it to the mother volume
 (part of this code is taken or anyway inspired to SSDCone method
 of AliITSv11GeometrySupport.cxx,v 1.9 2007/06/06)

 Input:
         moth : the TGeoVolume owing the volume structure
         mgr  : the GeoManager (default gGeoManager)
 Output:

 Created:         ???       Bjorn S. Nilsen
 Updated:      08 Mar 2008  Mario Sitta

 Technical data are taken from:  "ITS Supporto Generale" (technical
 drawings ALR3-0743/1, ALR3-0743/1A and ALR3-0743/1B), "Supporto Generale
 Settore SSD" (technical drawings ALR3-0743/2A and ALR3-0743/2E), private
 communication with B. Giraudo

 Updated:      11 Apr 2008  Mario Sitta
 Measures from drawings give overlaps with SPD thermal shield wings,
 so the terminal part of the SSD cone was reduced

 Updated:      30 Mar 2010  Mario Sitta
 Following M. van Leeuwen's suggestion on material budget, the thickness
 of the carbon fiber cylinder was increased from 0.6 to 0.625mm

 Creates the cable trays which are outside the ITS support cones
 but still inside the TPC
 This is now a stearing routine, the actual work is done by three
 specialized methods to avoid a really huge unique method

 Input:
         moth : the TGeoVolume owing the volume structure
         mgr  : the GeoManager (default gGeoManager)
 Output:

 Created:      15 Nov 2009  Mario Sitta

 Creates the structure supporting the ITS cable trays on Side A

 Input:
         moth : the TGeoVolume owing the volume structure
         mgr  : the GeoManager (default gGeoManager)
 Output:

 Created:      14 Dec 2009  Mario Sitta
 Updated:      26 Feb 2010  Mario Sitta

 Technical data are taken from AutoCAD drawings, L.Simonetti technical
 drawings and other (oral) information given by F.Tosello

 Dimensions and positions of the A-Side Cable Tray Support Ring
 (0872/G/A/01)

 Creates the all SPD cable trays which are outside the ITS support cones
 but still inside the TPC
 In order to avoid a huge monolithic routine, this method actually
 calls inner methods to create and assemble the various (macro)pieces

 Input:
         moth : the TGeoVolume owing the volume structure
         mgr  : the GeoManager (default gGeoManager)
 Output:

 Created:         ???       Bjorn S. Nilsen
 Updated:      15 Nov 2009  Mario Sitta

 Technical data are taken from AutoCAD drawings and other (oral)
 information given by F.Tosello

 Creates the all SDD cable trays which are outside the ITS support cones
 but still inside the TPC
 In order to avoid a huge monolithic routine, this method actually
 calls inner methods to create and assemble the various (macro)pieces

 Input:
         moth : the TGeoVolume owing the volume structure
         mgr  : the GeoManager (default gGeoManager)
 Output:

 Created:      14 Dec 2009  Mario Sitta

 Creates the SSD cable trays which are outside the ITS support cones
 but still inside the TPC
 In order to avoid a huge monolithic routine, this method actually
 calls inner methods to create and assemble the various (macro)pieces

 Input:
         moth : the TGeoVolume owing the volume structure
         mgr  : the GeoManager (default gGeoManager)
 Output:

 Created:      15 Nov 2009  Mario Sitta

 Creates the SPD cable trays which are outside the ITS support cones
 but still inside the TPC on Side A
 (part of this code is taken or anyway inspired to ServicesCableSupport
 method of AliITSv11GeometrySupport.cxx,v 1.9 2007/06/06)

 Input:
         moth : the TGeoVolume owing the volume structure
         mgr  : the GeoManager (default gGeoManager)
 Output:

 Created:      15 Feb 2010  Mario Sitta
 Updated:      10 Jun 2010  Mario Sitta  Freon inside cooling pipes
 Updated:      08 Sep 2010  Mario Sitta
 Updated:      14 Sep 2010  Mario Sitta  Cables prolonged till cone

 Technical data are taken from AutoCAD drawings, L.Simonetti technical
 drawings and other (oral) information given by F.Tosello and D.Elia
 (small differences with blueprints - e.g. -0.07mm in R1Trans and
 R2Trans - fix small overlaps; they are then compensated in positioning
 the Rear Tray to avoid its own overlaps with the rear supporting ring)
 Optical fibers and voltage cables are approximated with mean materials
 and square cross sections, but preserving the total material budget.

 Overall position and rotation of the A-Side Cable Trays
 (parts of 0872/G/D)

 Creates the SPD cable trays which are outside the ITS support cones
 but still inside the TPC on Side C
 (part of this code is taken or anyway inspired to ServicesCableSupport
 method of AliITSv11GeometrySupport.cxx,v 1.9 2007/06/06)

 Input:
         moth : the TGeoVolume owing the volume structure
         mgr  : the GeoManager (default gGeoManager)
 Output:

 Return:

 Created:         ???       Bjorn S. Nilsen
 Updated:      22 Apr 2010  Mario Sitta
 Updated:      10 Jun 2010  Mario Sitta  Freon inside cooling pipes
 Updated:      08 Sep 2010  Mario Sitta
 Updated:      14 Sep 2010  Mario Sitta  Cables prolonged till cone
 Updated:      20 Dec 2011  Mario Sitta  Composite vol to avoid new overlap

 Technical data are taken from AutoCAD drawings and other (oral)
 information given by D.Elia
 Optical fibers and voltage cables are approximated with mean materials
 and square cross sections, but preserving the total material budget.

 Dimensions and positions of the C-Side Cable Tray elements

 Creates the SDD cable trays which are outside the ITS support cones
 but still inside the TPC on Side A
 (part of this code is taken or anyway inspired to ServicesCableSupport
 method of AliITSv11GeometrySupport.cxx,v 1.9 2007/06/06)

 Input:
         moth : the TGeoVolume owing the volume structure
         mgr  : the GeoManager (default gGeoManager)
 Output:

 Created:         ???       Bjorn S. Nilsen
 Updated:       5 Jan 2010  Mario Sitta
 Updated:      26 Feb 2010  Mario Sitta
 Updated:      06 Sep 2010  Mario Sitta

 Technical data are taken from AutoCAD drawings, L.Simonetti technical
 drawings and other (oral) information given by F.Tosello

 Overall position and rotation of the A-Side Cable Trays
 (parts of 0872/G/D)

 Creates the SDD cable trays which are outside the ITS support cones
 but still inside the TPC on Side C
 (part of this code is taken or anyway inspired to ServicesCableSupport
 method of AliITSv11GeometrySupport.cxx,v 1.9 2007/06/06)

 Input:
         moth : the TGeoVolume owing the volume structure
         mgr  : the GeoManager (default gGeoManager)
 Output:

 Created:         ???       Bjorn S. Nilsen
 Updated:      17 Apr 2010  Mario Sitta

 Technical data are taken from AutoCAD drawings and other (oral)
 information given by F.Tosello

 Dimensions and positions of the C-Side Cable Tray
 (Change accordingly to CreateSDDSSDTraysSideC !)

 Creates the SSD cable trays which are outside the ITS support cones
 but still inside the TPC on Side A
 (part of this code is taken or anyway inspired to ServicesCableSupport
 method of AliITSv11GeometrySupport.cxx,v 1.9 2007/06/06)

 Input:
         moth : the TGeoVolume owing the volume structure
         mgr  : the GeoManager (default gGeoManager)
 Output:

 Created:         ???       Bjorn S. Nilsen
 Updated:      30 Dec 2009  Mario Sitta

 Technical data are taken from AutoCAD drawings, L.Simonetti technical
 drawings and other (oral) information given by F.Tosello and
 Ton van den Brink
 Cables and cooling tubes are approximated with proper materials and
 rectangular cross sections, always preserving the total material budget.

 Dimensions and positions of the A-Side Cable Trays
 (parts of 0872/G/D)

 Creates the SSD cable trays which are outside the ITS support cones
 but still inside the TPC on Side C
 (part of this code is taken or anyway inspired to ServicesCableSupport
 method of AliITSv11GeometrySupport.cxx,v 1.9 2007/06/06)

 Input:
         moth : the TGeoVolume owing the volume structure
         mgr  : the GeoManager (default gGeoManager)
 Output:

 Created:         ???       Bjorn S. Nilsen
 Updated:      15 Apr 2010  Mario Sitta

 Technical data are taken from AutoCAD drawings and other (oral)
 information given by F.Tosello

 Dimensions and positions of the C-Side Cable Tray elements

 Creates the forward SDD tray on Side A (0872/G/D/01)

 Input:
         tray : the TGeoVolumeAssembly to put the elements in
         mgr  : the GeoManager (used only to get the proper material)

 Output:

 Return:

 Created:      08 Jan 2010  Mario Sitta
 Updated:      07 Sep 2010  Mario Sitta

 Technical data are taken from AutoCAD drawings, L.Simonetti technical
 drawings and other (oral) information given by F.Tosello

 Dimensions of the A-Side Forward Cable Tray (0872/G/D/01)

 Creates the forward cover of the SDD and SSD cable trays on Side A
 (0872/G/D/02)

 Input:
             coverLen: the total length of the cover

 Output:

 Return:     a TGeoCompositeShape for the cover

 Created:      03 Jan 2010  Mario Sitta

 Technical data are taken from AutoCAD drawings, L.Simonetti technical
 drawings and other (oral) information given by F.Tosello

 Creates the external cover of the SDD and SSD cable trays on Side A
 (0872/G/D/04)

 Input:
             coverLen: the total length of the cover

 Output:

 Return:     a TGeoCompositeShape for the cover

 Created:      03 Jan 2010  Mario Sitta

 Technical data are taken from AutoCAD drawings, L.Simonetti technical
 drawings and other (oral) information given by F.Tosello

 Creates the proper sequence of X and Y coordinates to determine
 the base XTru polygon for the holes in the SDD and SSD tray covers
 (here the rounded corners are approximated with segments)

 Input:
        wide   : the hole wide
        length : the hole length
        r10    : the radius of the rounded corners

 Output:
        x, y : coordinate vectors [16]

 Created:      03 Jan 2010  Mario Sitta

 Caller must guarantee that x and y have the correct dimensions
 (but being this a private method it's easy to tell)

 Creates parts of the SDD and SSD Trays on Side A which are identical
 (0872/G/D/03, part of 0872/G/D/07, 0872/G/C/11)

 Input:
         trayLen : the length of the tray part
         trayHi  : the height of the tray part

 Output:

 Return:     a TGeoXtru

 Created:      26 Feb 2010  Mario Sitta

 Technical data are taken from AutoCAD drawings, L.Simonetti technical
 drawings and other (oral) information given by F.Tosello

 Dimensions and positions of the A-Side Cable Trays
 (parts of 0872/G/C)

 Creates the SDD and SSD Trays on Side C which are supposedly identical

 Input:
         trayName : the assembly name

 Output:

 Return:     a TGeoVolumeAssembly

 Created:      16 Apr 2010  Mario Sitta

 Technical data are taken from AutoCAD drawings and other (oral)
 information given by F.Tosello

 Creates the elements suspending the ITS to the TPC and other fixed
 elements used to hook the rails (0872/C and its daughters)

 Input:
         moth : the TGeoVolume owing the volume structure
         mgr  : the GeoManager (default gGeoManager)
 Output:

 Return:

 Created:      28 Oct 2010  Mario Sitta
 Updated:      18 Feb 2011  Mario Sitta

 Technical data are taken from AutoCAD drawings, L.Simonetti technical
 drawings and other (oral) information given by F.Tosello

 Dimensions and positions of the half ring C2/C3 (0872/C/04)