CivilItemClass.f90 Source File


Source Code

module CivilItemClass
   use FEMDomainClass
   use FEMSolverClass
   implicit none

   type :: CivilItem_

   contains
      !procedure, public :: BridgePier => BridgePierCivilItem
      procedure, pass :: BridgePierCivilItem
      procedure, pass :: BridgePierCivilItem_JSON

      generic :: BridgePier => BridgePierCivilItem, BridgePierCivilItem_JSON

      procedure, public :: BridgeGirder => BridgeGirderCivilItem
      procedure, public :: BridgeShoe => BridgeShoeCivilItem
      procedure, public :: BridgeShoes => BridgeShoesCivilItem

      procedure, pass :: RigidFrameViaductCivilItem
      procedure, pass :: RigidFrameViaductCivilItem_JSON
      generic :: RigidFrameViaduct => RigidFrameViaductCivilItem, RigidFrameViaductCivilItem_JSON

      procedure, pass :: EarthDam_with_ground_CivilItem
      procedure, pass :: EarthDam_with_ground_CivilItem_JSON

      procedure, pass :: EarthDam_without_ground_CivilItem
      procedure, pass :: EarthDam_without_ground_with_channel_CivilItem

      generic :: EarthDam => EarthDam_with_ground_CivilItem, EarthDam_with_ground_CivilItem_JSON, &
         EarthDam_without_ground_CivilItem, EarthDam_without_ground_with_channel_CivilItem

      procedure :: PaddyField => PaddyFieldCivilItem
      procedure :: OpenChannel => OpenChannelCivilItem

      procedure :: ground => groundCivilItem
      procedure :: beam => beamCivilItem

      procedure, pass :: BoxCulvertCivilItem
      procedure, pass :: BoxCulvertCivilItem_JSON
      generic :: BoxCulvert => BoxCulvertCivilItem, BoxCulvertCivilItem_JSON

   end type

contains

! #######################################################################
   function BridgePierCivilItem_JSON(this, config, debug) result(femdomain)
      class(CivilItem_), intent(in) :: this
      character(*), intent(in) :: config
      logical, optional, intent(in) :: debug
      real(real64) :: Bottom(1:2), Top(1:2), height
      real(real64) :: Transition(1:2)
      integer(int32) :: divisions(1:3)
      type(FEMDomain_) :: femdomain
      integer(int32) :: i, nf, nt
      type(IO_) :: f
      character(:), allocatable :: line

      Bottom(1:2) = 0.0d0
      Top(1:2) = 0.0d0
      Transition(1:2) = 0.0d0
      divisions(1:3) = 0
      height = 0.0d0

      call f%open(config, "r")
      do
         if (f%EOF) exit

         line = f%readline()

         if (index(line, "Bottom") /= 0) then
            nf = index(line, "[")
            nt = index(line, "]")
            read (line(nf + 1:nt - 1), *) Bottom(1:2)
            cycle
         end if

         if (index(line, "Top") /= 0) then
            nf = index(line, "[")
            nt = index(line, "]")
            read (line(nf + 1:nt - 1), *) Top(1:2)
            cycle
         end if

         if (index(line, "Transition") /= 0) then
            nf = index(line, "[")
            nt = index(line, "]")
            read (line(nf + 1:nt - 1), *) Transition(1:2)
            cycle
         end if

         if (index(line, "Divisions") /= 0) then
            nf = index(line, "[")
            nt = index(line, "]")
            read (line(nf + 1:nt - 1), *) Divisions(1:3)
            cycle
         end if

         if (index(line, "Height") /= 0) then
            nf = index(line, ":")
            read (line(nf + 1:), *) Height
            cycle
         end if

      end do
      call f%close()

      if (present(debug)) then
         if (debug) then
            print *, "Bottom :: ", Bottom
            print *, "Top :: ", Top
            print *, "Transition :: ", Transition
            print *, "Divisions :: ", Divisions
            print *, "Height :: ", Height

         end if
      end if
      femdomain = this%BridgePier(Bottom=Bottom, Top=Top, Transition=Transition, &
                                  divisions=divisions, height=height)

   end function
! #######################################################################

   function BridgePierCivilItem(this, Bottom, Top, Transition, divisions, height) result(femdomain)
      class(CivilItem_), intent(in) :: this
      real(real64), intent(in) :: Bottom(1:2), Top(1:2), height
      real(real64), optional, intent(in) :: Transition(1:2)
      integer(int32), intent(in) :: divisions(1:3)
      type(FEMDomain_) :: femdomain
      integer(int32) :: i
      real(real64) :: z, x, theta

      call femdomain%create("Cube3D", x_num=divisions(1), y_num=divisions(2), z_num=divisions(3))
      call femdomain%resize(x=Bottom(1), y=Bottom(2), z=height)
      call femdomain%move(x=-Bottom(1)/2.0d0, y=-Bottom(2)/2.0d0)

      if (present(Transition)) then
         do i = 1, femdomain%nn()
            if (femdomain%position_z(i) >= Transition(2)) then
               femdomain%mesh%nodcoord(i, 1) = femdomain%mesh%nodcoord(i, 1)*Top(1)/Bottom(1)
               femdomain%mesh%nodcoord(i, 2) = femdomain%mesh%nodcoord(i, 2)*Top(2)/Bottom(2)
            elseif (femdomain%position_z(i) <= Transition(2) .and. femdomain%position_z(i) >= Transition(1)) then
               z = femdomain%position_z(i)
               theta = (z - Transition(1))/(Transition(2) - Transition(1))
               femdomain%mesh%nodcoord(i, 1) = femdomain%mesh%nodcoord(i, 1)*(Bottom(1) + theta*(Top(1) - Bottom(1)))/Bottom(1)
               femdomain%mesh%nodcoord(i, 2) = femdomain%mesh%nodcoord(i, 2)*(Bottom(2) + theta*(Top(2) - Bottom(2)))/Bottom(2)
            end if
         end do
      end if

   end function

   function BridgeGirderCivilItem(this, From, To, Thickness, Width, Divisions, fitPiers) result(femdomain)
      class(CivilItem_), intent(in) :: this
      type(FEMDomain_), intent(inout) :: From, To
      real(real64), intent(in) :: Thickness, Width
      real(real64), allocatable :: origins_direct(:)
      integer(int32), intent(in) :: divisions(1:3)
      logical, optional, intent(in) :: fitPiers(2)

      type(FEMDomain_) :: femdomain
      integer(int32) :: i
      real(real64) :: girder_length, x1(1:3), x2(1:3), x0(1:3), theta_z, theta_x

      x1(1) = sum(from%mesh%nodcoord(:, 1))/dble(from%nn())
      x1(2) = sum(from%mesh%nodcoord(:, 2))/dble(from%nn())
      x1(3) = from%z_max()

      x2(1) = sum(to%mesh%nodcoord(:, 1))/dble(to%nn())
      x2(2) = sum(to%mesh%nodcoord(:, 2))/dble(to%nn())
      x2(3) = to%z_max()

      girder_length = norm(x2(1:2) - x1(1:2))
      theta_z = dot_product(x2(1:2) - x1(1:2), [0.0d0, 1.0d0])/norm(x2(1:2) - x1(1:2))/1.0d0

      theta_x = dot_product(x2(2:3) - x1(2:3), [1.0d0, 0.0d0])/norm(x2(2:3) - x1(2:3))/1.0d0

      call femdomain%create("Cube3D", x_num=divisions(1), y_num=divisions(2), z_num=divisions(3))
      call femdomain%resize(x=Width, y=girder_length, z=thickness)
      call femdomain%move(x=-Width/2.0d0, y=-girder_length/2.0d0)
      call femdomain%move( &
         x=(x1(1) + x2(1))*0.50d0, &
         y=(x1(2) + x2(2))*0.50d0, &
         z=(from%z_max() + to%z_max())*0.50d0)
      !call femdomain%rotate(x=degrees(theta_x),z=degrees(theta_z))
      call femdomain%rotate(x=acos(theta_x), z=-acos(theta_z))

      if (present(fitPiers)) then
         if (fitPiers(1)) then

            origins_direct = from%position()
            call From%move(x=-origins_direct(1), y=-origins_direct(2), z=-origins_direct(3))
            call From%rotate(z=-acos(theta_z))
            call From%move(x=origins_direct(1), y=origins_direct(2), z=origins_direct(3))
         end if

         if (fitPiers(2)) then
            origins_direct = to%position()
            call to%move(x=-origins_direct(1), y=-origins_direct(2), z=-origins_direct(3))
            call to%rotate(z=-acos(theta_z))
            call to%move(x=origins_direct(1), y=origins_direct(2), z=origins_direct(3))

         end if
      end if

   end function
! ###########################################################

   function BridgeShoeCivilItem(this, pier, Thickness, Width, Divisions) result(femdomain)
      class(CivilItem_), intent(in) :: this
      type(FEMDomain_), intent(in) :: pier
      real(real64), intent(in) :: Thickness, Width
      integer(int32), intent(in) :: divisions(1:3)

      type(FEMDomain_) :: femdomain

      integer(int32) :: i

      call femdomain%create("Cube3D", &
                            x_num=Divisions(1), &
                            y_num=Divisions(2), &
                            z_num=Divisions(3))
      call femdomain%resize(x=width, y=width, z=thickness)
      call femdomain%move( &
         x=-femdomain%x_max()*0.50d0, &
         y=-femdomain%y_max()*0.50d0)

      call femdomain%move( &
         x=pier%position_x(), &
         y=pier%position_y(), &
         z=pier%z_max())

   end function

   function BridgeShoesCivilItem(this, pier, num_shoes, Thickness, Width, Divisions) result(femdomains)
      class(CivilItem_), intent(in) :: this
      type(FEMDomain_), intent(in) :: pier
      real(real64), intent(in) :: Thickness, Width
      integer(int32), intent(in) :: divisions(1:3), num_shoes(1:2)

      type(FEMDomain_), allocatable :: femdomains(:)
      real(real64)   :: Ll, Lw
      integer(int32) :: i, j

      allocate (femdomains(num_shoes(1)*num_shoes(2)))

      Ll = Pier%x_max() - Pier%x_min()
      Lw = Pier%y_max() - Pier%y_min()

      do i = 1, num_shoes(1)
         do j = 1, num_shoes(2)
            femdomains(num_shoes(2)*(i - 1) + j) &
               = this%BridgeShoe(pier, Thickness, Width, Divisions)

            call femdomains(num_shoes(2)*(i - 1) + j)%move( &
               x=Pier%x_min() - Pier%position_x(), &
               y=Pier%y_min() - Pier%position_y())

            call femdomains(num_shoes(2)*(i - 1) + j)%move( &
               x=0.50d0*Ll/num_shoes(1) + dble(i - 1)*Ll/num_shoes(1), &
               y=0.50d0*Lw/num_shoes(2) + dble(j - 1)*Lw/num_shoes(2))
         end do
      end do

   end function
! #############################################################################
   function RigidFrameViaductCivilItem_JSON(this, config, debug) result(RFV)
      class(CivilItem_), intent(inout) :: this
      character(*), intent(in) :: config
      integer(int32) :: NumPiers(1:2) ! n by m, total n*m piers
      integer(int32) :: divisions(1:3)
      real(real64) :: length
      real(real64) :: width
      real(real64) :: height
      real(real64) :: PierThickness, GirderExists_01
      real(real64) :: GirderWidth = 0.0d0! option
      real(real64) :: GirderThickness = 0.0d0! option
      real(real64) :: GirderEdgeHeight = 0.0d0! option
      real(real64) :: GirderEdgeThickness = 0.0d0! option
      real(real64), allocatable :: MiddlePierHeights(:)
      logical, optional, intent(in) :: debug
      logical :: GirderExists = .false.

      type(FEMDomain_) :: RFV
      integer(int32) :: i, n, m, NumMiddlePier, nt, nf
      character(:), allocatable :: line

      type(IO_) :: f, json_file

      call f%open(config, "r")
      do
         if (f%EOF) exit

         line = f%readline()

         if (index(line, "NumPiers") /= 0 .and. index(line, "NumPiers_") == 0) then
            nf = index(line, "[")
            nt = index(line, "]")
            read (line(nf + 1:nt - 1), *) NumPiers(1:2)
            cycle
         end if

         if (index(line, "NumPiers_x") /= 0) then
            nf = index(line, ":")
            read (line(nf + 1:), *) NumPiers(1)
            cycle
         end if

         if (index(line, "NumPiers_y") /= 0) then
            nf = index(line, ":")
            read (line(nf + 1:), *) NumPiers(2)
            cycle
         end if

         if (index(line, "Divisions") /= 0 .and. index(line, "Divisions_") == 0) then
            nf = index(line, "[")
            nt = index(line, "]")
            read (line(nf + 1:nt - 1), *) Divisions(1:3)
            cycle
         end if

         if (index(line, "Divisions_x") /= 0) then
            nf = index(line, ":")
            read (line(nf + 1:), *) Divisions(1)
            cycle
         end if

         if (index(line, "Divisions_y") /= 0) then
            nf = index(line, ":")
            read (line(nf + 1:), *) Divisions(2)
            cycle
         end if

         if (index(line, "Divisions_z") /= 0) then
            nf = index(line, ":")
            read (line(nf + 1:), *) Divisions(3)
            cycle
         end if

         if (index(line, "PierThickness") /= 0) then
            nf = index(line, ":")
            read (line(nf + 1:), *) PierThickness
            cycle
         end if

         if (index(line, "NumMiddlePier") /= 0) then
            nf = index(line, ":")
            read (line(nf + 1:), *) NumMiddlePier
            cycle
         end if

         if (index(line, "GirderWidth") /= 0) then
            nf = index(line, ":")
            read (line(nf + 1:), *) GirderWidth
            cycle
         end if

         if (index(line, "GirderThickness") /= 0) then
            nf = index(line, ":")
            read (line(nf + 1:), *) GirderThickness
            cycle
         end if

         if (index(line, "GirderEdgeHeight") /= 0) then
            nf = index(line, ":")
            read (line(nf + 1:), *) GirderEdgeHeight
            cycle
         end if

         if (index(line, "GirderEdgeThickness") /= 0) then
            nf = index(line, ":")
            read (line(nf + 1:), *) GirderEdgeThickness
            cycle
         end if

         if (index(line, "Width") /= 0) then
            nf = index(line, ":")
            read (line(nf + 1:), *) Width
            cycle
         end if

         if (index(line, "Length") /= 0) then
            nf = index(line, ":")
            read (line(nf + 1:), *) Length
            cycle
         end if

         if (index(line, "Height") /= 0 .and. index(line, "Middle") == 0) then
            nf = index(line, ":")
            read (line(nf + 1:), *) Height
            cycle
         end if

      end do
      call f%close()

      MiddlePierHeights = int(zeros(NumMiddlePier))
      MiddlePierHeights(1:NumMiddlePier) = to_vector( &
                                           json_file%parse(filename=config, key1="MiddlePierHeights"), NumMiddlePier)

      if (present(debug)) then
         if (debug) then
            print *, "NumPiers ::   ", NumPiers
            print *, "Width ::      ", Width
            print *, "Length ::     ", Length
            print *, "Height ::     ", Height
            print *, "PierThickness ::  ", PierThickness
            print *, "Divisions ::      ", Divisions
            print *, "NumMiddlePier ::  ", NumMiddlePier
            print *, "MiddlePierHeights ::  ", MiddlePierHeights
            print *, "GirderWidth :: ", GirderWidth
            print *, "GirderThickness :: ", GirderThickness
            print *, "GirderEdgeHeight :: ", GirderEdgeHeight
            print *, "GirderEdgeThickness :: ", GirderEdgeThickness
         end if
      end if

      GirderExists_01 = GirderWidth*GirderThickness*GirderEdgeHeight*GirderEdgeThickness
      print *, GirderExists_01
      if (GirderExists_01 == 0.0d0) then
         GirderExists = .false.
      else
         GirderExists = .true.
      end if

      if (allocated(MiddlePierHeights)) then
         if (GirderExists) then
            RFV = this%RigidFrameViaduct(NumPiers=NumPiers, &
                                         length=length, &
                                         width=width, &
                                         PierThickness=PierThickness, &
                                         divisions=divisions, &
                                         height=height, &
                                         MiddlePierHeights=MiddlePierHeights, &
                                         GirderWidth=GirderWidth, &
                                         GirderThickness=GirderThickness, &
                                         GirderEdgeHeight=GirderEdgeHeight, &
                                         GirderEdgeThickness=GirderEdgeThickness, &
                                         debug=debug)
         else
            RFV = this%RigidFrameViaduct(NumPiers=NumPiers, &
                                         length=length, &
                                         width=width, &
                                         PierThickness=PierThickness, &
                                         divisions=divisions, &
                                         height=height, &
                                         MiddlePierHeights=MiddlePierHeights, &
                                         debug=debug)
         end if
      else
         if (GirderExists) then
            RFV = this%RigidFrameViaduct(NumPiers=NumPiers, &
                                         length=length, &
                                         width=width, &
                                         PierThickness=PierThickness, &
                                         divisions=divisions, &
                                         height=height, &
                                         GirderWidth=GirderWidth, &
                                         GirderThickness=GirderThickness, &
                                         GirderEdgeHeight=GirderEdgeHeight, &
                                         GirderEdgeThickness=GirderEdgeThickness, &
                                         debug=debug)
         else
            RFV = this%RigidFrameViaduct(NumPiers=NumPiers, &
                                         length=length, &
                                         width=width, &
                                         PierThickness=PierThickness, &
                                         divisions=divisions, &
                                         height=height, &
                                         debug=debug)
         end if
      end if

   end function
! #############################################################################

! #############################################################################
   function RigidFrameViaductCivilItem(this, NumPiers, length, width, PierThickness, divisions, height, MiddlePierHeights, &
                                       GirderThickness, & ! >> From here, args are optional!!
                    GirderWidth, GirderEdgeHeight, GirderEdgeThickness, JointHeight, JointThickness, JointLength, debug) result(RFV)
      class(CivilItem_), intent(inout) :: this
      integer(int32), intent(in) :: NumPiers(1:2) ! n by m, total n*m piers
      integer(int32), optional, intent(in) :: divisions(1:3)
      real(real64), intent(in) :: length
      real(real64), intent(in) :: width
      real(real64), intent(in) :: height
      real(real64), intent(in) :: PierThickness

      ! Lv. 1:: with Middle Piers and Girders
      real(real64), optional, intent(in) :: MiddlePierHeights(:)
      real(real64), optional, intent(in) :: GirderThickness

      ! Lv. 2:: Detail
      real(real64), optional, intent(in) ::GirderWidth
      real(real64), optional, intent(in) ::GirderEdgeHeight
      real(real64), optional, intent(in) ::GirderEdgeThickness
      real(real64), optional, intent(in) ::JointHeight
      real(real64), optional, intent(in) ::JointThickness
      real(real64), optional, intent(in) ::JointLength

      ! debug option
      logical, optional, intent(in) :: debug

      ! internal variables
      real(real64) :: dx, dy, dz, thickness, interval
      real(real64), allocatable :: point(:)
      type(FEMDomain_) :: RFV
      type(FEMDomain_) :: remove_zone
      integer(int32) :: i, n, m
      real(real64), allocatable :: remove_zone_x(:, :)
      real(real64), allocatable :: remove_zone_y(:, :)
      real(real64), allocatable :: remove_zone_z(:, :)

      real(real64), allocatable :: x_axis(:)
      real(real64), allocatable :: y_axis(:)
      real(real64), allocatable :: z_axis(:)

      real(real64), allocatable :: x_axis_origin(:)
      real(real64), allocatable :: y_axis_origin(:)
      real(real64), allocatable :: z_axis_origin(:)

      real(real64) :: z_init_max
      integer(int32) :: girderedge_offset
      integer(int32) :: ElementID, remove_count, j, k, last_n, girder_offset, joint_offset
      real(real64) :: present_width, extra_half_width, op_GirderEdgeHeight, w_center
      integer(int32), allocatable :: remove_elem(:), buf(:, :), remove_node(:), new_node_id(:), killElemList(:)
      real(real64), allocatable :: realbuf(:, :), center_coord(:), shift_x(:), bufvec(:)
      logical :: debug_mode_requested = .false.

      op_GirderEdgeHeight = input(default=0.0d0, option=GirderEdgeHeight)
      last_n = 0
      if (present(GirderThickness)) then
         last_n = -1
      end if

      if (present(debug)) then
         debug_mode_requested = debug
      end if

      thickness = PierThickness

      if (maxval(NumPiers) <= 1) then
         print *, "ERROR :: RigidFrameViaductCivilItem :: for single pier,"
         print *, "please use %BridgePier()"
         return
      end if

      ! cut axis
      ! x-direction (Length)
      x_axis = zeros(NumPiers(2)*2)
      interval = (Length - PierThickness*NumPiers(2))/dble(NumPiers(2) - 1)
      x_axis(1) = 0.0d0
      x_axis(2) = PierThickness

      do i = 2, NumPiers(2)
         x_axis(2*i - 1) = x_axis(2*(i - 1) - 1) + interval + PierThickness
         x_axis(2*i) = x_axis(2*(i - 1)) + interval + PierThickness
      end do

      ! x-direction (width)
      y_axis = zeros(NumPiers(1)*2)
      interval = (Width - PierThickness*NumPiers(1))/dble(NumPiers(1) - 1)
      y_axis(1) = 0.0d0
      y_axis(2) = PierThickness

      do i = 2, NumPiers(1)
         y_axis(2*i - 1) = y_axis(2*(i - 1) - 1) + interval + PierThickness
         y_axis(2*i) = y_axis(2*(i - 1)) + interval + PierThickness
      end do
      if (present(GirderWidth)) then
         if (.not. present(GirderThickness)) then
            print *, "ERROR :: CivilItem%rigidframeciaduct >> "
            print *, "GirderThickness shoud be passed when GirderWidth is present."
            stop
         end if
         ! both GirderWidth and GirderThickness are present.

         present_width = maxval(y_axis) - minval(y_axis)
         extra_half_width = GirderWidth/2.0d0 - present_width*0.50d0
         y_axis = [-extra_half_width + minval(y_axis)]//y_axis
         y_axis = y_axis//[extra_half_width + maxval(y_axis)]
      end if

      ! Lv. 1
      if (present(MiddlePierHeights)) then
         z_axis = zeros(size(MiddlePierHeights)*2 + 3)
         z_axis(1) = 0.0d0
         j = 1
         do i = 1, size(MiddlePierHeights)
            j = j + 1
            z_axis(j) = MiddlePierHeights(i) - PierThickness/2.0d0
            j = j + 1
            z_axis(j) = MiddlePierHeights(i) + PierThickness/2.0d0
         end do

         z_axis(size(z_axis) - 1:size(z_axis)) = [Height - PierThickness, Height]

         if (present(GirderThickness)) then
            z_axis = z_axis//[maxval(z_axis) + GirderThickness]
         end if

         z_init_max = maxval(z_axis)

         if (present(GirderEdgeHeight) .or. present(GirderEdgeThickness)) then
            if (present(GirderEdgeHeight) .and. present(GirderEdgeThickness)) then
               y_axis = [-GirderEdgeThickness + minval(y_axis)]//y_axis
               y_axis = y_axis//[maxval(y_axis)]
               y_axis(size(y_axis) - 1) = maxval(y_axis) - GirderEdgeThickness

               z_axis = z_axis//[maxval(z_axis) + GirderEdgeHeight]
               !z_axis = z_axis // [ maxval(z_axis) + GirderEdgeHeight]

            else
               print *, "ERROR :: CivilItem%rigidframeciaduct >> "
               print *, "GirderEdgeHeight shoud be passed with GirderEdgeThickness"
               stop
            end if
         end if

         ! for joint
         if (present(JointLength) .or. present(JointThickness)) then
            if (present(JointLength) .and. present(JointThickness)) then
               x_axis = [minval(x_axis) - JointLength]//x_axis
               x_axis = x_axis//[maxval(x_axis) + JointLength]
            else
               print *, "ERROR :: CivilItem%rigidframeciaduct >> "
               print *, "JointLength,JointHeight,JointThickness shoud be passed at the same time!"
               stop
            end if
         end if

         ! joint
         joint_offset = 0
         if (present(JointLength)) then
            do n = 1, size(x_axis)
               if (x_axis(n) < 0.0d0) then
                  joint_offset = joint_offset + 1
               else
                  exit
               end if
            end do

            n = 0
            do i = 1, size(z_axis)
               if (z_axis(i) > JointHeight) then
                  n = i
                  exit
               end if
            end do
            if (n == 0) then
               print *, "ERROR :: RFV :: JointHeight >= Height!"
               stop
            end if

            bufvec = z_axis
            z_axis = bufvec(1:n - 1)//[JointHeight]
            z_axis = z_axis//bufvec(n:)
            deallocate (bufvec)

            n = 0
            do i = 1, size(z_axis)
               if (z_axis(i) > JointHeight + JointThickness) then
                  n = i
                  exit
               end if
            end do
            if (n == 0) then
               print *, "ERROR :: RFV :: JointHeight + JointThickness<= Height!"
               stop
            end if

            bufvec = z_axis
            z_axis = bufvec(1:n - 1)//[JointHeight + JointThickness]
            z_axis = z_axis//bufvec(n:)
            deallocate (bufvec)

         end if

         x_axis_origin = x_axis
         y_axis_origin = y_axis
         z_axis_origin = z_axis
         if (present(Divisions)) then
            do i = 1, Divisions(1)
               call Refine(x_axis_origin, 1)
            end do
            do i = 1, Divisions(2)
               call Refine(y_axis_origin, 1)
            end do
            do i = 1, Divisions(3)
               call Refine(z_axis_origin, 1)
            end do
         end if
         girder_offset = 0
         if (present(GirderWidth)) then
            do n = 1, size(y_axis)
               if (y_axis(n) < 0.0d0) then
                  girder_offset = girder_offset + 1
               else
                  exit
               end if
            end do
         end if

         girderedge_offset = 0
         if (present(GirderEdgeThickness)) then
            do n = size(z_axis), 1, -1
               if (z_axis(n) > z_init_max) then
                  girderedge_offset = girderedge_offset + 0
               else
                  exit
               end if
            end do
         end if

         call RFV%create("Cube3D", &
                         x_axis=x_axis_origin, &
                         y_axis=y_axis_origin, &
                         z_axis=z_axis_origin &
                         )
         ! x-direction (Length)
         !real(Real64) :: z_from,z_to

         killElemList = int(zeros(RFV%ne()))
         !do k = 1, size(MiddlePierHeights)+3
         do k = 1, size(z_axis)/2

            do i = 1, NumPiers(2) - 1
               do j = 1, RFV%ne()
                  center_coord = RFV%centerPosition(ElementID=j)
                  if (x_axis(2*i + joint_offset) < center_coord(1) .and. center_coord(1) < x_axis(2*i + 1 + joint_offset)) then
                     if (z_axis(2*k - 1) < center_coord(3) .and. center_coord(3) < z_axis(2*k)) then
                        if (present(GirderThickness) .and. center_coord(3) > height - PierThickness) then
                           cycle
                        end if

                        if (center_coord(1) < 0.0d0 .or. center_coord(1) > length) then
                           cycle
                        end if
                        killElemList(j) = 1
                     end if
                  end if
               end do
            end do

            do i = 1, NumPiers(1) - 1
               do j = 1, RFV%ne()
                  center_coord = RFV%centerPosition(ElementID=j)
                  if (y_axis(2*i + girder_offset) < center_coord(2) .and. &
                      center_coord(2) < y_axis(2*i + 1 + girder_offset)) then
                     if (z_axis(2*k - 1) < center_coord(3) .and. center_coord(3) < z_axis(2*k)) then
                        if (present(GirderThickness) .and. center_coord(3) > height - PierThickness) then
                           cycle
                        end if

                        if (center_coord(1) < 0.0d0 .or. center_coord(1) > length) then
                           cycle
                        end if
                        killElemList(j) = 1
                     end if
                  end if
               end do
            end do
         end do

         ! for last pier
         if (present(JointHeight)) then

            do i = 1, NumPiers(2) - 1
            do j = 1, RFV%ne()
               center_coord = RFV%centerPosition(ElementID=j)
               if (x_axis(2*i + joint_offset) < center_coord(1) .and. center_coord(1) < x_axis(2*i + 1 + joint_offset)) then
                  if (MiddlePierHeights(size(MiddlePierHeights)) + PierThickness/2.0d0 < center_coord(3) &
                      .and. center_coord(3) < height - PierThickness) then
                     if (present(GirderThickness) .and. center_coord(3) > height - PierThickness) then
                        cycle
                     end if

                     if (center_coord(1) < 0.0d0 .or. center_coord(1) > length) then
                        cycle
                     end if
                     killElemList(j) = 1
                  end if
               end if
            end do
            end do

            do i = 1, NumPiers(1) - 1
            do j = 1, RFV%ne()
               center_coord = RFV%centerPosition(ElementID=j)
               if (y_axis(2*i + girder_offset) < center_coord(2) .and. &
                   center_coord(2) < y_axis(2*i + 1 + girder_offset)) then
                  if (MiddlePierHeights(size(MiddlePierHeights)) + PierThickness/2.0d0 < center_coord(3) &
                      .and. center_coord(3) < height - PierThickness) then
                     if (present(GirderThickness) .and. center_coord(3) > height - PierThickness) then
                        cycle
                     end if

                     if (center_coord(1) < 0.0d0 .or. center_coord(1) > length) then
                        cycle
                     end if
                     killElemList(j) = 1
                  end if
               end if
            end do
            end do
         end if

         if (allocated(killElemList)) then
            call RFV%killElement(blacklist=killElemList, flag=1)
         end if
         ! cut top
         ! x-direction (Length)
         killElemList = int(zeros(RFV%ne()))
         do i = 1, NumPiers(2) - 1
            do j = 1, RFV%ne()
               center_coord = RFV%centerPosition(ElementID=j)
               if (x_axis(2*i + joint_offset) < center_coord(1) .and. center_coord(1) < x_axis(2*i + 1 + joint_offset)) then
                  !if(center_coord(3) < z_axis( size(z_axis)-1) )then
                  if (present(GirderThickness) .and. center_coord(3) > height) then
                     cycle
                  end if
                  if (center_coord(1) < 0.0d0 .or. center_coord(1) > length) then
                     cycle
                  end if
                  killElemList(j) = killElemList(j) + 1
                  !endif
               end if
            end do
         end do

         do i = 1, NumPiers(1) - 1
            do j = 1, RFV%ne()
               center_coord = RFV%centerPosition(ElementID=j)
               if (y_axis(2*i + girder_offset) < center_coord(2) .and. &
                   center_coord(2) < y_axis(2*i + 1 + girder_offset)) then
                  !if(center_coord(3) < z_axis( size(z_axis)-1) )then
                  if (present(GirderThickness) .and. center_coord(3) > height) then
                     cycle
                  end if
                  if (center_coord(1) < 0.0d0 .or. center_coord(1) > length) then
                     cycle
                  end if
                  killElemList(j) = killElemList(j) + 1
                  !endif
               end if
            end do
         end do
         if (allocated(killElemList)) then
            call RFV%killElement(blacklist=killElemList, flag=2)
         end if

         if (present(GirderWidth)) then
            ! below-girder
            ! x-direction (Length)
            killElemList = int(zeros(RFV%ne()))
            do j = 1, RFV%ne()
               center_coord = RFV%centerPosition(ElementID=j)
               if (center_coord(2) < 0.0d0 .or. &
                   center_coord(2) > RFV%y_max() - extra_half_width) then
                  if (center_coord(3) < RFV%z_max() - GirderThickness - op_GirderEdgeHeight) then
                     if (center_coord(1) < 0.0d0 .or. center_coord(1) > length) then
                        cycle
                     end if
                     killElemList(j) = 1
                  end if
               end if
            end do

            if (allocated(killElemList)) then
               call RFV%killElement(blacklist=killElemList, flag=1)
            end if

         end if

      else
         z_axis = [0.0d0, Height - PierThickness, Height]

         if (present(GirderThickness)) then
            z_axis = z_axis//[maxval(z_axis) + GirderThickness]
         end if
         z_init_max = maxval(z_axis)

         if (present(GirderEdgeHeight) .or. present(GirderEdgeThickness)) then
            if (present(GirderEdgeHeight) .and. present(GirderEdgeThickness)) then
               y_axis = [-GirderEdgeThickness + minval(y_axis)]//y_axis
               y_axis = y_axis//[maxval(y_axis)]
               y_axis(size(y_axis) - 1) = maxval(y_axis) - GirderEdgeThickness

               z_axis = z_axis//[maxval(z_axis) + GirderEdgeHeight]
               !z_axis = z_axis // [ maxval(z_axis) + GirderEdgeHeight]

            else
               print *, "ERROR :: CivilItem%rigidframeciaduct >> "
               print *, "GirderEdgeHeight shoud be passed with GirderEdgeThickness"
               stop
            end if
         end if

         ! for joint
         if (present(JointLength) .or. present(JointThickness)) then
            if (present(JointLength) .and. present(JointThickness)) then
               x_axis = [minval(x_axis) - JointLength]//x_axis
               x_axis = x_axis//[maxval(x_axis) + JointLength]
            else
               print *, "ERROR :: CivilItem%rigidframeciaduct >> "
               print *, "JointLength,JointHeight,JointThickness shoud be passed at the same time!"
               stop
            end if
         end if

         ! joint
         joint_offset = 0
         if (present(JointLength)) then
            do n = 1, size(x_axis)
               if (x_axis(n) < 0.0d0) then
                  joint_offset = joint_offset + 1
               else
                  exit
               end if
            end do

            n = 0
            do i = 1, size(z_axis)
               if (z_axis(i) > JointHeight) then
                  n = i
                  exit
               end if
            end do
            if (n == 0) then
               print *, "ERROR :: RFV :: JointHeight >= Height!"
               stop
            end if

            bufvec = z_axis
            z_axis = bufvec(1:n - 1)//[JointHeight]
            z_axis = z_axis//bufvec(n:)
            deallocate (bufvec)

            n = 0
            do i = 1, size(z_axis)
               if (z_axis(i) > JointHeight + JointThickness) then
                  n = i
                  exit
               end if
            end do
            if (n == 0) then
               print *, "ERROR :: RFV :: JointHeight + JointThickness<= Height!"
               stop
            end if

            bufvec = z_axis
            z_axis = bufvec(1:n - 1)//[JointHeight + JointThickness]
            z_axis = z_axis//bufvec(n:)
            deallocate (bufvec)

         end if

         x_axis_origin = x_axis
         y_axis_origin = y_axis
         z_axis_origin = z_axis
         if (present(Divisions)) then
            do i = 1, Divisions(1)
               call Refine(x_axis_origin, 1)
            end do
            do i = 1, Divisions(2)
               call Refine(y_axis_origin, 1)
            end do
            do i = 1, Divisions(3)
               call Refine(z_axis_origin, 1)
            end do
         end if

         girder_offset = 0
         if (present(GirderWidth)) then
            do n = 1, size(y_axis)
               if (y_axis(n) < 0.0d0) then
                  girder_offset = girder_offset + 1
               else
                  exit
               end if
            end do
         end if

         girderedge_offset = 0
         if (present(GirderEdgeThickness)) then
            do n = size(z_axis), 1, -1
               if (z_axis(n) > z_init_max) then
                  girderedge_offset = girderedge_offset + 0
               else
                  exit
               end if
            end do
         end if

         call RFV%create("Cube3D", &
                         x_axis=x_axis_origin, &
                         y_axis=y_axis_origin, &
                         z_axis=z_axis_origin &
                         )

         ! x-direction (Length)
         killElemList = int(zeros(RFV%ne()))
         do i = 1, NumPiers(2) - 1
            do j = 1, RFV%ne()
               center_coord = RFV%centerPosition(ElementID=j)
               if (x_axis(2*i + joint_offset) < center_coord(1) .and. center_coord(1) < x_axis(2*i + 1 + joint_offset)) then
                  if (center_coord(3) < z_axis(size(z_axis) - 1 + last_n - girderedge_offset)) then
                     if (present(GirderThickness) .and. center_coord(3) > height - PierThickness) then
                        cycle
                     end if
                     if (center_coord(1) < 0.0d0 .or. center_coord(1) > length) then
                        cycle
                     end if
                     killElemList(j) = 1
                  end if
               end if
            end do
         end do

         do i = 1, NumPiers(1) - 1
            do j = 1, RFV%ne()
               center_coord = RFV%centerPosition(ElementID=j)
               if (y_axis(2*i + girder_offset) < center_coord(2) .and. &
                   center_coord(2) < y_axis(2*i + 1 + girder_offset)) then
                  if (center_coord(3) < z_axis(size(z_axis) - 1 + last_n - girderedge_offset)) then
                     if (present(GirderThickness) .and. center_coord(3) > height - PierThickness) then
                        cycle
                     end if
                     if (center_coord(1) < 0.0d0 .or. center_coord(1) > length) then
                        cycle
                     end if
                     killElemList(j) = 1
                  end if
               end if
            end do
         end do
         if (allocated(killElemList)) then
            call RFV%killElement(blacklist=killElemList, flag=1)
         end if

         ! cut top
         ! x-direction (Length)
         killElemList = int(zeros(RFV%ne()))
         do i = 1, NumPiers(2) - 1
            do j = 1, RFV%ne()
               center_coord = RFV%centerPosition(ElementID=j)
               if (x_axis(2*i + joint_offset) < center_coord(1) .and. center_coord(1) < x_axis(2*i + 1 + joint_offset)) then
                  !if(center_coord(3) < z_axis( size(z_axis)-1) )then
                  if (present(GirderThickness) .and. center_coord(3) > height) then
                     cycle
                  end if
                  if (present(GirderEdgeThickness)) then
                     if (center_coord(2) > RFV%ymax() - GirderEdgeThickness .or. &
                         center_coord(2) < RFV%ymin() + GirderEdgeThickness) then
                        cycle
                     end if
                  end if
                  if (center_coord(1) < 0.0d0 .or. center_coord(1) > length) then
                     cycle
                  end if

                  killElemList(j) = killElemList(j) + 1
                  !endif
               end if
            end do
         end do

         do i = 1, NumPiers(1) - 1
            do j = 1, RFV%ne()
               center_coord = RFV%centerPosition(ElementID=j)
               if (y_axis(2*i + girder_offset) < center_coord(2) .and. &
                   center_coord(2) < y_axis(2*i + 1 + girder_offset)) then
                  !if(center_coord(3) < z_axis( size(z_axis)-1) )then
                  if (present(GirderThickness) .and. center_coord(3) > height) then
                     cycle
                  end if
                  if (present(GirderEdgeThickness)) then
                     if (center_coord(2) > RFV%ymax() - GirderEdgeThickness .or. &
                         center_coord(2) < RFV%ymin() + GirderEdgeThickness) then
                        cycle
                     end if
                  end if
                  if (center_coord(1) < 0.0d0 .or. center_coord(1) > length) then
                     cycle
                  end if
                  killElemList(j) = killElemList(j) + 1
                  !endif
               end if
            end do
         end do
         if (allocated(killElemList)) then
            call RFV%killElement(blacklist=killElemList, flag=2)
         end if

      end if

      if (present(GirderWidth)) then
         if (.not. present(GirderEdgeHeight)) then
            ! below-girder
            ! x-direction (Length)
            killElemList = int(zeros(RFV%ne()))
            do j = 1, RFV%ne()
               center_coord = RFV%centerPosition(ElementID=j)
               if (center_coord(2) < 0.0d0 .or. &
                   center_coord(2) > RFV%y_max() - extra_half_width) then
                  if (center_coord(3) < RFV%z_max() - GirderThickness) then

                     if (center_coord(1) < 0.0d0 .or. center_coord(1) > length) then
                        cycle
                     end if
                     killElemList(j) = 1
                  end if
               end if
            end do

            if (allocated(killElemList)) then
               call RFV%killElement(blacklist=killElemList, flag=1)
            end if
         else
            ! below-girder
            killElemList = int(zeros(RFV%ne()))
            do j = 1, RFV%ne()
               center_coord = RFV%centerPosition(ElementID=j)
               if (center_coord(2) < 0.0d0 .or. &
                   center_coord(2) > RFV%y_max() - extra_half_width) then
                  if (center_coord(3) < RFV%z_max() - GirderThickness - GirderEdgeHeight) then

                     if (center_coord(1) < 0.0d0 .or. center_coord(1) > length) then
                        cycle
                     end if
                     killElemList(j) = 1
                  end if
               end if
            end do

            if (allocated(killElemList)) then
               call RFV%killElement(blacklist=killElemList, flag=1)
            end if
            ! upper

            killElemList = int(zeros(RFV%ne()))
            do j = 1, RFV%ne()
               center_coord = RFV%centerPosition(ElementID=j)
               if (RFV%y_min() + GirderEdgeThickness < center_coord(2) .and. &
                   center_coord(2) < RFV%y_max() - GirderEdgeThickness) then
                  if (center_coord(3) > RFV%z_max() - GirderEdgeHeight) then

                     if (center_coord(1) < 0.0d0 .or. center_coord(1) > length) then
                        cycle
                     end if
                     killElemList(j) = 1
                  end if
               end if
            end do

            if (allocated(killElemList)) then
               call RFV%killElement(blacklist=killElemList, flag=1)
            end if
         end if
      end if

      if (present(JointHeight)) then
         killElemList = int(zeros(RFV%ne()))
         w_center = (RFV%ymax() + RFV%ymin())*0.50d0
         do j = 1, RFV%ne()
            center_coord = RFV%centerPosition(ElementID=j)
            if (center_coord(1) > 0.0d0 .and. center_coord(1) < Length) then
               cycle
            end if

            if (center_coord(3) < JointHeight .or. center_coord(3) > JointHeight + JointThickness) then
               killElemList(j) = 1
               cycle
            end if

            if (center_coord(2) > w_center + Width/2.0d0 .or. center_coord(2) < w_center - Width/2.0d0) then
               killElemList(j) = 1
               cycle
            end if

         end do

         if (allocated(killElemList)) then
            call RFV%killElement(blacklist=killElemList, flag=1)
         end if

      end if

      call RFV%move(x=-(RFV%xmax() - RFV%xmin())*0.50d0)

   end function

! ############################################
   function EarthDam_with_ground_CivilItem_JSON(this, config) result(femdomain)
      class(CivilItem_), intent(in) :: this
      character(*), intent(in) :: config
      type(FEMDomain_) :: femdomain

      real(real64) :: height = 2.200d0
      real(real64) :: width = 11.00d0
      real(real64) :: length = 117.00d0
      real(real64) :: depth = 30.00d0
      real(real64) :: margin = 50.00d0
      real(real64) :: angles(1:2) = [20.00d0, 20.00d0]
      real(real64) :: top_width = 4.0d0

      integer(int32) :: refine_level(1:3) = [5, 5, 3]
      integer(int32) :: depth_cut = 10
      integer(int32) :: margin_cut = 10

      type(IO_) :: json_file
      ! check json
      if (index(config, ".json") == 0) then
         ! not json file
         return
      end if

      angles = to_vector(json_file%parse(filename=config, key1="angles"), 2)

      height = freal(json_file%parse(filename=config, key1="height"))
      width = freal(json_file%parse(filename=config, key1="width"))
      length = freal(json_file%parse(filename=config, key1="length"))
      depth = freal(json_file%parse(filename=config, key1="depth"))
      margin = freal(json_file%parse(filename=config, key1="margin"))
      top_width = freal(json_file%parse(filename=config, key1="top"))

      depth_cut = fint(json_file%parse(filename=config, key1="division_v"))
      margin_cut = fint(json_file%parse(filename=config, key1="division_h"))

      refine_level = to_intvector(json_file%parse(filename=config, key1="refine_level"), 3)

      femdomain = this%EarthDam( &
                  height=height, &!=2.20d0, &
                  width=width, &! =11.0d0, &
                  length=length, &!=117.0d0,&
                  depth=depth, &! =30.0d0,&
                  margin=margin, &!=50.0d0,&
                  angles=angles, &!=[20.0d0, 20.0d0],& ! 20.0 degrees & 15.0d0 degrees
                  top_width=top_width, &!=4.0d0, & ! top width
                  refine_level=refine_level, &! = [5,5,3] ,& ! refinement level
                  depth_cut=depth_cut, &!    = 10, &
                  margin_cut=margin_cut &!   = 10 &
                  )

   end function
! ############################################

! ############################################
   function EarthDam_without_ground_with_channel_CivilItem(this, &
                                                           height, length, angles, top_width, refine_level, &
                                                           channel_dist_from_center, &
                                                           channel_innter_width, &
                                                           channel_innter_depth, &
                                                           channel_thickness) result(dam)

      class(CivilItem_), intent(in) :: this
      real(real64), intent(in) :: height, length, top_width
      real(real64), intent(in) :: angles(1:2)
      integer(int32), intent(in) :: refine_level(1:3)
      real(real64), allocatable :: x_axis(:), y_axis(:), z_axis(:), innter_x_1(:), innter_x_2(:), x_segment(:)

      real(real64), intent(in) :: channel_dist_from_center ! from -length/2 to length/2
      real(real64), intent(in) :: channel_innter_width
      real(real64), intent(in) :: channel_innter_depth
      real(real64), intent(in) :: channel_thickness

      real(real64) :: center_coord(1:3), h, w, a, x, y, z, xmax, ym, xm, dx, xmm, l1, l2, theta, &
                      channel_edges(6), dl, zmin, x_bar, xyz(1:3)
      integer(int32), allocatable :: killElemList(:)
      integer(int32) :: i, j
      type(FEMDomain_) :: dam

      l1 = height/tan(radian(angles(1))) + top_width/2.0d0 !(-)
      l2 = height/tan(radian(angles(2))) + top_width/2.0d0 !(+)

!    innter_x_1 = [&
!        -top_width/2.0d0 - height/tan(radian(angles(1))) ,&
!        -top_width/2.0d0- height/tan(radian(angles(1))) + channel_innter_depth,&
!        -top_width/2.0d0- height/tan(radian(angles(1))) + channel_innter_depth + channel_thickness ]
!    innter_x_2 = [&
!        top_width/2.0d0 + height/tan(radian(angles(2))) - channel_innter_depth - channel_thickness, &
!        top_width/2.0d0 + height/tan(radian(angles(2))) - channel_innter_depth, &
!        top_width/2.0d0 + height/tan(radian(angles(2))) ]

      innter_x_1 = [ &
                   -top_width/2.0d0 - height/tan(radian(angles(1)))]
      innter_x_2 = [ &
                   top_width/2.0d0 + height/tan(radian(angles(2)))]
!    if(refine_level(1)>0)then
!        call refine(innter_x_1,refine_level(1)/2+1)
!    endif
!    if(refine_level(1)>0)then
!        call refine(innter_x_2,refine_level(1)/2+1)
!    endif

      x_axis = innter_x_1//[ &
               -top_width/2.0d0, &
               top_width/2.0d0 &
               ]//innter_x_2

      y_axis = [-length/2.0d0, &
                channel_dist_from_center - channel_innter_width/2.0d0 - channel_thickness, &
                channel_dist_from_center - channel_innter_width/2.0d0, &
                channel_dist_from_center - channel_innter_width/2.0d0 + channel_thickness, &
                channel_dist_from_center + channel_innter_width/2.0d0 - channel_thickness, &
                channel_dist_from_center + channel_innter_width/2.0d0, &
                channel_dist_from_center + channel_innter_width/2.0d0 + channel_thickness, &
                length/2.0d0]

      z_axis = [0.0d0, &
                height - channel_innter_depth - channel_thickness, &
                height - channel_innter_depth, &
                height]

      if (refine_level(1) > 0) then
         call refine(x_axis, refine_level(1))
      end if
      if (refine_level(2) > 0) then
         call refine(y_axis, refine_level(2))
      end if
      if (refine_level(3) > 0) then
         call refine(z_axis, refine_level(3))
      end if

      call dam%create("Cube3D", x_axis=x_axis, y_axis=y_axis, z_axis=z_axis)

      channel_edges(1) = channel_dist_from_center - channel_innter_width/2.0d0 - channel_thickness
      channel_edges(2) = channel_dist_from_center - channel_innter_width/2.0d0
      channel_edges(3) = channel_dist_from_center - channel_innter_width/2.0d0 + channel_thickness + 0.00010d0
      channel_edges(4) = channel_dist_from_center + channel_innter_width/2.0d0 - channel_thickness - 0.00010d0
      channel_edges(5) = channel_dist_from_center + channel_innter_width/2.0d0
      channel_edges(6) = channel_dist_from_center + channel_innter_width/2.0d0 + channel_thickness

      do i = 1, size(dam%mesh%nodcoord, 1)
         x = dam%mesh%nodcoord(i, 1)
         y = dam%mesh%nodcoord(i, 2)
         z = dam%mesh%nodcoord(i, 3)

         if (z > height - channel_innter_depth) then
            !if(x>0)then
            !    dl = channel_innter_depth - channel_thickness
            !else
            !    dl = channel_innter_depth - channel_thickness
            !endif
            theta = (height)/height
         else
            !dl = 0
            theta = (z + channel_innter_depth)/height
         end if
         dl = 0
         theta = (z)/height

         !if(x > top_width/2.0d0+height/tan(radian(angles(2))) - channel_innter_depth-channel_thickness  ) then
         !    theta = z/height
         !
         !    ! theta = 0 -> Lx = Lx
         !    ! theta = 1 => Lx = top_width/2
         !    x = abs((top_width/2.0d0 - l2)*theta + l2)*x/l2
         !    dam%mesh%nodcoord(i,1) = x
         !    cycle
         !endif
         !if(x < -top_width/2.0d0-height/tan(radian(angles(1))) + channel_innter_depth+channel_thickness  ) cycle

         if (x > 0.0d0) then
            ! theta_0 = 0 => x_0 = l2
            ! theta_1 = 1 => x_1 = top_width/2
            x = abs((top_width/2.0d0 - dl - l2)*theta + l2)*x/l2
         else
            ! theta_0 = 0 => x_0 = -l1
            ! theta_1 = 1 => x_1 = -top_width/2
            x = abs((top_width/2.0d0 - dl - l1)*theta + l1)*x/l1
         end if

         dam%mesh%nodcoord(i, 1) = x

      end do

      ! remove element on channel
      killElemList = int(zeros(dam%ne()))
      do i = 1, dam%ne()
         xyz = dam%centerPosition(i)
         x = xyz(1)
         y = xyz(2)
         z = xyz(3)

         if (x < top_width/2.0d0) then
            zmin = height - channel_innter_depth
         else
            x_bar = (x - top_width/2.0d0)/L2
            L2 = height/tan(radian(angles(1)))
            ! x_bar = 0 => z_min = height-channel_innter_depth
            ! x_bar = 1 => z_min = -channel_innter_depth
            zmin = abs((height)*x_bar - (height - channel_innter_depth))
         end if

         if (channel_edges(3) <= y .and. y <= channel_edges(4)) then
            if (z >= zmin) then
               killElemList(i) = 1.0d0
            end if
         end if
      end do

      call dam%killElement(killElemList, flag=1)

      ! create channel
      !killElemList = zeros(dam%ne() )
      !killElemList(dam%getElementList(&
      !    ymin = channel_edges(3),&
      !    ymax = channel_edges(4),&
      !    zmin = height-channel_innter_depth &
      !    )) = 1
      !
      !call dam%killElement(killElemList,1)
      allocate (dam%PhysicalField(2))
      dam%PhysicalField(1)%name = "Soil is 0, Concrete is 1"

      dam%PhysicalField(1)%scalar = int(zeros(dam%ne()))
      do i = 1, dam%ne()
         xyz = dam%centerPosition(i)
         x = xyz(1)
         y = xyz(2)
         z = xyz(3)

         if (x < top_width/2.0d0) then
            zmin = height - channel_innter_depth
         else
            x_bar = (x - top_width/2.0d0)/L2
            L2 = height/tan(radian(angles(1)))
            ! x_bar = 0 => z_min = height-channel_innter_depth
            ! x_bar = 1 => z_min = -channel_innter_depth
            zmin = abs((height)*x_bar - (height - channel_innter_depth))
         end if

         if (channel_edges(1) <= y .and. y <= channel_edges(6)) then
            if (z >= zmin) then
               dam%PhysicalField(1)%scalar(i) = 1
            end if
         end if
      end do

   end function
! ######################################################

! ############################################
   function EarthDam_without_ground_CivilItem(this, height, length, angles, top_width, refine_level) result(dam)
      class(CivilItem_), intent(in) :: this
      real(real64), intent(in) :: height, length, top_width
      real(real64), intent(in) :: angles(1:2)
      integer(int32), intent(in) :: refine_level(1:3)
      real(real64), allocatable :: x_axis(:), y_axis(:), z_axis(:)

      real(real64) :: center_coord(1:3), h, w, a, x, y, z, xmax, ym, xm, dx, xmm, l1, l2, theta
      integer(int32), allocatable :: killElemList(:)
      integer(int32) :: i, j
      type(FEMDomain_) :: dam

      l1 = height/tan(radian(angles(1))) + top_width/2.0d0
      l2 = height/tan(radian(angles(2))) + top_width/2.0d0

      x_axis = [-height/tan(radian(angles(1))) - top_width/2.0d0, &
                -top_width/2.0d0, top_width/2.0d0, top_width/2.0d0 + height/tan(radian(angles(2)))]
      y_axis = [-length/2.0d0, length/2.0d0]
      z_axis = [0.0d0, height]

      if (refine_level(1) > 0) then
         call refine(x_axis, refine_level(1))
      end if
      if (refine_level(2) > 0) then
         call refine(y_axis, refine_level(2))
      end if
      if (refine_level(3) > 0) then
         call refine(z_axis, refine_level(3))
      end if

      call dam%create("Cube3D", x_axis=x_axis, y_axis=y_axis, z_axis=z_axis)

      do i = 1, size(dam%mesh%nodcoord, 1)
         x = dam%mesh%nodcoord(i, 1)
         y = dam%mesh%nodcoord(i, 2)
         z = dam%mesh%nodcoord(i, 3)

         theta = z/height
         if (x > 0.0d0) then
            ! theta_0 = 0 => x_0 = l2
            ! theta_1 = 1 => x_1 = top_width/2
            x = abs((top_width/2.0d0 - l2)*theta + l2)*x/l2
         else
            ! theta_0 = 0 => x_0 = -l1
            ! theta_1 = 1 => x_1 = -top_width/2
            x = abs((top_width/2.0d0 - l1)*theta + l1)*x/l1
         end if

         dam%mesh%nodcoord(i, 1) = x

      end do

   end function

! ############################################
   function EarthDam_with_ground_CivilItem(this, height, length, width, depth, margin, angles, top_width, refine_level, &
                                           depth_cut, margin_cut, R) result(dam)
      class(CivilItem_), intent(in) :: this
      real(real64), intent(in) :: height, length, width, depth, margin, top_width
      real(real64), intent(in) :: angles(1:2)
      integer(int32), intent(in) :: refine_level(1:3), depth_cut, margin_cut
      real(real64), allocatable :: x_axis(:), y_axis(:), z_axis(:)
      real(real64), optional, intent(in) :: R
      real(real64) :: center_coord(1:3), h, w, a, x, y, z, xmax, ym, xm, dx, xmm
      integer(int32), allocatable :: killElemList(:)
      integer(int32) :: i, j
      type(FEMDomain_) :: dam

      x_axis = [ &
               -top_width/2.0d0 - height/tan(radian(angles(2))), &
               -top_width/2.0d0, top_width/2.0d0, top_width/2.0d0 + height/tan(radian(angles(1))) &
               ]

      call Refine(x_axis, refine_level(1))

      x_axis = [-margin - top_width/2.0d0 - height/tan(radian(angles(2)))]//x_axis// &
               [margin + top_width/2.0d0 + height/tan(radian(angles(1)))]
      call Refine(x_axis, margin_cut)

      y_axis = [-length/2.0d0, length/2.0d0]

      call Refine(y_axis, refine_level(2))

      z_axis = [-height, 0.0d0, height]
      call Refine(z_axis, refine_level(3))
      z_axis = [-depth]//z_axis
      call Refine(z_axis, depth_cut)

      call dam%create("Cube3D", &
                      x_axis=x_axis, &
                      y_axis=y_axis, &
                      z_axis=z_axis &
                      )

      ! remove
      killElemList = int(zeros(dam%ne()))
      do j = 1, dam%ne()
         center_coord = dam%centerPosition(ElementID=j)
         if (0.0d0 < center_coord(3) .and. &
             center_coord(1) < -top_width/2.0d0 - height/tan(radian(angles(2)))) then
            killElemList(j) = 1
         end if
      end do

      do j = 1, dam%ne()
         center_coord = dam%centerPosition(ElementID=j)
         if (0.0d0 < center_coord(3) .and. &
             center_coord(1) > top_width/2.0d0 + height/tan(radian(angles(1)))) then
            killElemList(j) = 1
         end if
      end do

      if (allocated(killElemList)) then
         call dam%killElement(blacklist=killElemList, flag=1)
      end if

      ! reshape
      h = height
      w = top_width/2.0d0

      do i = 1, dam%nn()
         center_coord = dam%position(i)
         if (center_coord(3) > 0.0d0) then
            if (center_coord(1) > 0.0d0) then
               a = height/tan(radian(angles(1))) + (top_width/2.0d0)
               x = center_coord(1)
               z = center_coord(3)
               xmax = a + (w - a)/h*z
               dam%mesh%nodcoord(i, 1) = x*xmax/a
            else
               a = height/tan(radian(angles(2))) + (top_width/2.0d0)
               x = center_coord(1)
               z = center_coord(3)
               xmax = a + (w - a)/h*z
               dam%mesh%nodcoord(i, 1) = x*xmax/a
            end if
         end if
      end do

      if (present(R)) then
         if (R > 0.0d0) then
            xm = dam%xmax()
            xmm = dam%xmin()

            do i = 1, dam%nn()

               center_coord = dam%position(i)
               x = center_coord(1)

               if (x > 0.0d0) then
                  y = center_coord(2)
                  dx = (R - sqrt(R*R - y*y))
                  dam%mesh%nodcoord(i, 1) = dx + x - dx/xm*x
               else
                  y = center_coord(2)
                  dx = (R - sqrt(R*R - y*y))
                  dam%mesh%nodcoord(i, 1) = dx + x - dx/xmm*x
               end if

            end do

         else

         end if
      end if

   end function

! #################################################
   function PaddyFieldCivilItem(this, Length, Width, Depth, RidgeWidth, RidgeHeight, refine_level) result(PaddyField)
      class(CivilItem_), intent(inout) :: this
      real(real64), intent(in) :: Length, Width, Depth, RidgeWidth, RidgeHeight
      real(real64), allocatable :: x_axis(:), y_axis(:), z_axis(:), center_coord(:)
      integer(int32), intent(in) :: refine_level(1:3)
      integer(int32), allocatable :: killElemList(:)
      integer(int32) :: i, j
      type(FEMDomain_) :: paddyfield

      x_axis = [-Length/2.0d0, -Length/2.0d0 + RidgeWidth/2.0d0, 0.0d0, Length/2.0d0 - RidgeWidth/2.0d0, Length/2.0d0]
      y_axis = [-Width/2.0d0, -Width/2.0d0 + RidgeWidth/2.0d0, 0.0d0, Width/2.0d0 - RidgeWidth/2.0d0, Width/2.0d0]
      z_axis = [-depth, 0.0d0, RidgeHeight]

      call refine(x_axis, refine_level(1))
      call refine(y_axis, refine_level(2))
      call refine(z_axis, refine_level(3))

      call paddyfield%create("Cube3D", &
                             x_axis=x_axis, &
                             y_axis=y_axis, &
                             z_axis=z_axis &
                             )

      ! remove
      killElemList = int(zeros(PaddyField%ne()))
      do j = 1, PaddyField%ne()
         center_coord = PaddyField%centerPosition(ElementID=j)
         if (0.0d0 < center_coord(3)) then
            if (-Length/2.0d0 + RidgeWidth/2.0d0 < center_coord(1) .and. &
                center_coord(1) < Length/2.0d0 - RidgeWidth/2.0d0) then
               if (-Width/2.0d0 + RidgeWidth/2.0d0 < center_coord(2) .and. &
                   center_coord(2) < Width/2.0d0 - RidgeWidth/2.0d0) then

                  killElemList(j) = 1
               end if
            end if
         end if
      end do

      if (allocated(killElemList)) then
         call PaddyField%killElement(blacklist=killElemList, flag=1)
      end if

      ! reshape

!    h = height
!    w = top_width/2.0d0
!    do i=1,PaddyField%nn()
!        center_coord = PaddyField%position(i)
!        if(center_coord(3)>0.0d0 )then
!            if(center_coord(1) > 0.0d0 )then
!                a = height/tan(radian(RidgeAngle)) + (top_width/2.0d0)
!                x = center_coord(1)
!                z = center_coord(3)
!                xmax = a + (w-a)/h*z
!                PaddyField%mesh%nodcoord(i,1) = x*xmax/a
!            else
!                a = height/tan(radian(RidgeAngle)) + (top_width/2.0d0)
!                x = center_coord(1)
!                z = center_coord(3)
!                xmax = a + (w-a)/h*z
!                PaddyField%mesh%nodcoord(i,1) = x*xmax/a
!            endif
!        endif
!    enddo
   end function

! ########################################################
   function OpenChannelCivilItem(this, Length, Width, Depth, ChannelWidth, ChannelDepth, SlopeAngle, &
                                 SlopeDepth, refine_level) result(channel)
      class(CivilItem_), intent(inout) :: this
      real(real64), intent(in) :: Length, Width, Depth, ChannelWidth, ChannelDepth
      real(real64), optional, intent(in) :: SlopeAngle, SlopeDepth
      real(real64), allocatable :: x_axis(:), y_axis(:), z_axis(:), center_coord(:), point_coord(:)
      integer(int32), intent(in) :: refine_level(1:3)
      integer(int32), allocatable :: killElemList(:)
      integer(int32) :: i, j
      type(FEMDomain_) :: channel
      real(real64) :: xm, x, z, dx, w, cw

      if (present(SlopeAngle) .or. present(SlopeDepth)) then
         if (present(SlopeAngle) .and. present(SlopeDepth)) then
            x_axis = [-Length/2.0d0, 0.0d0, Length/2.0d0]
            y_axis = [-Width/2.0d0, -ChannelWidth/2.0d0, 0.0d0, ChannelWidth/2.0d0, Width/2.0d0]
            z_axis = [-abs(depth), -abs(ChannelDepth), -abs(SlopeDepth), 0.0d0]

            call refine(x_axis, refine_level(1))
            call refine(y_axis, refine_level(2))
            call refine(z_axis, refine_level(3))

            call channel%create("Cube3D", &
                                x_axis=x_axis, &
                                y_axis=y_axis, &
                                z_axis=z_axis &
                                )

            ! remove
            killElemList = int(zeros(channel%ne()))
            do j = 1, channel%ne()
               center_coord = channel%centerPosition(ElementID=j)
               if (-abs(ChannelDepth) - abs(SlopeDepth) < center_coord(3)) then
                  if (-ChannelWidth/2.0d0 < center_coord(2) .and. &
                      center_coord(2) < ChannelWidth/2.0d0) then

                     killElemList(j) = 1

                  end if
               end if
            end do

            if (allocated(killElemList)) then
               call channel%killElement(blacklist=killElemList, flag=1)
            end if

            ! reshape slope
            w = abs(Width/2.0d0)
            cw = abs(ChannelWidth/2.0d0)

            do j = 1, channel%nn()
               point_coord = channel%Position(j)
               if (-abs(SlopeDepth) < point_coord(3)) then
                  x = point_coord(2)
                  z = abs(abs(slopeDepth) - abs(point_coord(3)))
                  dx = z/tan(radian(SlopeAngle))

                  channel%mesh%nodcoord(j, 2) = x/abs(x)* &
                                                ((dx + cw)*(w - abs(x)) + w*(abs(x) - cw))/(abs(w) - abs(cw))

               end if
            end do

         else
            print *, "[ERROR] OpenChannelCivilItem >> slope shape needs both of SlopeAngle and SlopeDepth"
         end if
      else
         x_axis = [-Length/2.0d0, 0.0d0, Length/2.0d0]
         y_axis = [-Width/2.0d0, -ChannelWidth/2.0d0, 0.0d0, ChannelWidth/2.0d0, Width/2.0d0]
         z_axis = [-abs(depth), -abs(ChannelDepth), 0.0d0]

         call refine(x_axis, refine_level(1))
         call refine(y_axis, refine_level(2))
         call refine(z_axis, refine_level(3))

         call channel%create("Cube3D", &
                             x_axis=x_axis, &
                             y_axis=y_axis, &
                             z_axis=z_axis &
                             )

         ! remove
         killElemList = int(zeros(channel%ne()))
         do j = 1, channel%ne()
            center_coord = channel%centerPosition(ElementID=j)
            if (-abs(ChannelDepth) < center_coord(3)) then
               if (-ChannelWidth/2.0d0 < center_coord(2) .and. &
                   center_coord(2) < ChannelWidth/2.0d0) then

                  killElemList(j) = 1

               end if
            end if
         end do

         if (allocated(killElemList)) then
            call channel%killElement(blacklist=killElemList, flag=1)
         end if

      end if

   end function
! ##########################################################

   function beamCivilItem(this, from, to, width, height, division) result(beam)
      class(CivilItem_), intent(in) :: this
      real(real64), intent(in) :: from(1:3), to(1:3), width, height
      integer(int32), intent(in) :: division(1:3)
      real(real64) :: beam_length, angles(1:3), vec(1:3), xa(1:3), ya(1:3), za(1:3)
      type(FEMDomain_) :: beam

      angles(:) = 0.0d0
      beam_length = norm(to - from)
      vec = to - from
      xa = [1.0d0, 0.0d0, 0.0d0]
      ya = [0.0d0, 1.0d0, 0.0d0]
      za = [0.0d0, 0.0d0, 1.0d0]

      call beam%create("Cube3D", x_num=division(1), y_num=division(2), z_num=division(3))
      call beam%resize(x=width, y=height, z=beam_length)
      call beam%move(x=-0.50d0*width, y=-0.50d0*height)

      if (norm(vec) == 0.0d0) then
         return
      end if
      angles(1) = acos(dot_product(vec, xa)/norm(vec)/norm(xa))
      angles(2) = acos(dot_product(vec, ya)/norm(vec)/norm(ya))
      angles(3) = acos(dot_product(vec, za)/norm(vec)/norm(za))

      call beam%rotate(x=angles(1), y=angles(2), z=angles(3))
      call beam%move(to="center")
      call beam%move(x=0.50d0*(from(1) + to(1)), y=0.50d0*(from(2) + to(2)), z=0.50d0*(from(3) + to(3)))

   end function

! ############################################################
   function groundCivilItem(this, femdomain, surface_point, radius, debug, er) result(ret)
      class(CivilItem_), intent(in) :: this
      type(FEMDomain_), intent(in)  :: femdomain
      real(real64), intent(in)      :: surface_point(:, :) !(point-id,[x, y, z])
      real(real64), optional, intent(in)      :: radius, er
      logical, optional, intent(in) :: debug

      type(FEMDomain_) :: ground(1), ret
      real(real64), allocatable :: my_point(:), ref_point(:), &
                                   all_disp(:), FixValues(:)
      integer(int32), allocatable :: bottom(:), top(:), side(:), IDs(:)
      real(real64) :: r, z_diff
      type(FEMSolver_) :: solver
      integer(int32) :: i, j, ElementID

      ground(1) = femdomain

      bottom = ground(1)%select(z_max=ground(1)%zmin())
      top = ground(1)%select(z_min=ground(1)%zmax())

      r = norm(ground(1)%mesh%nodcoord(1, :) - ground(1)%mesh%nodcoord(2, :))
      r = input(default=r, option=radius)

      side = ground(1)%select(x_max=ground(1)%xmin())
      side = side//ground(1)%select(x_min=ground(1)%xmax())
      side = side//ground(1)%select(y_max=ground(1)%ymin())
      side = side//ground(1)%select(y_min=ground(1)%ymax())

      ! setup solver
      call solver%init(NumDomain=1)
      call solver%setDomain(FEMDomains=ground(:), DomainIDs=[1])
      call solver%setCRS(DOF=3)

      !$OMP parallel
      !$OMP do
      do ElementID = 1, ground(1)%ne()
         call solver%setMatrix(DomainID=1, ElementID=ElementID, DOF=3, &
                               Matrix=ground(1)%StiffnessMatrix(ElementID=ElementID, E=1.0d0, v=0.450d0))
      end do
      !$OMP end do
      !$OMP end parallel

      ! x,y,z -> fix
      call solver%fix(DomainID=1, IDs=bottom*3 - 2, FixValue=0.0d0)
      call solver%fix(DomainID=1, IDs=bottom*3 - 1, FixValue=0.0d0)
      call solver%fix(DomainID=1, IDs=bottom*3 - 0, FixValue=0.0d0)

      ! x,y -> fix, z: free
      call solver%fix(DomainID=1, IDs=side*3 - 2, FixValue=0.0d0)
      call solver%fix(DomainID=1, IDs=side*3 - 1, FixValue=0.0d0)

      ! top -> move
      IDs = int(zeros(size(top)))
      FixValues = zeros(size(top))
      !$OMP parallel default(shared) private(my_point,j,ref_point,z_diff)
      !$OMP do
      do i = 1, size(top)
         my_point = ground(1)%mesh%nodcoord(top(i), 1:2)
         do j = 1, size(surface_point, 1)
            ref_point = surface_point(j, 1:2)
            if (norm(my_point - ref_point) <= r) then
               z_diff = surface_point(j, 3) - ground(1)%mesh%nodcoord(top(i), 3)
               if (present(debug)) then
                  if (debug) then
                     print *, "node,", i, "/", size(top), "u_z", z_diff
                  end if
               end if
               IDs(i) = top(i)*3 - 0
               FixValues(i) = z_diff
               !call solver%fix(DomainID=1,IDs=[top(i)*3-0],  FixValue=z_diff)
               exit
            end if
         end do
      end do
      !$OMP end do
      !$OMP end parallel

      call solver%fix(DomainID=1, IDs=IDs, FixValues=FixValues)

      solver%debug = input(default=.true., option=debug)
      solver%er0 = input(default=dble(1.0e-5), option=er)
      solver%relative_er = input(default=dble(1.0e-5), option=er)

      all_disp = solver%solve()

      call ground(1)%deform(disp=all_disp)

      ret = ground(1)

   end function
! ############################################################

   function BoxCulvertCivilItem(this, width, height, length, &
                                top_thickness, side_thickness, bottom_thickness, &
                                edge_thickness, divisions, Spigot_length, Socket_length, &
                                cut_angles) result(culvert)
      class(CivilItem_), intent(in) :: this
      type(FEMDomain_) :: culvert
      real(real64), intent(in) :: width, height, length, &
                                  top_thickness, side_thickness, bottom_thickness, &
                                  edge_thickness
      integer(int32), allocatable :: killElemList(:)
      integer(int32), intent(in) :: divisions(1:3)
      real(real64), optional, intent(in) :: cut_angles(1:2), Spigot_length, Socket_length

      real(real64) :: W, y_bar, B, T, alpha
      integer(int32) :: i, j
      real(real64), allocatable :: x_axis(:), y_axis(:), z_axis(:), center_coord(:), coord(:)

      if (present(Socket_length)) then
         x_axis = [-Length/2.0d0, -Length/2.0d0 + Socket_length, 0.0d0, Length/2.0d0]
      else
         x_axis = [-Length/2.0d0, 0.0d0, Length/2.0d0]
      end if

      if (present(Spigot_length)) then
         x_axis = x_axis//[Length/2.0d0 + Spigot_length]
      end if

      y_axis = [-Width/2.0d0, -Width/2.0d0 + side_thickness/2.0d0, -Width/2.0d0 + side_thickness, &
                -Width/2.0d0 + side_thickness + edge_thickness, &
                0.0d0, Width/2.0d0 - side_thickness - edge_thickness, &
                Width/2.0d0 - side_thickness, Width/2.0d0 - side_thickness/2.0d0, Width/2.0d0]
      z_axis = [-Height/2.0d0, -Height/2.0d0 + bottom_thickness/2.0d0, &
                -Height/2.0d0 + bottom_thickness, &
                -Height/2.0d0 + bottom_thickness + edge_thickness, &
                0.0d0, Height/2.0d0 - top_thickness - edge_thickness, &
                Height/2.0d0 - top_thickness, &
                Height/2.0d0 - top_thickness/2.0d0, Height/2.0d0]

      call refine(x_axis, divisions(1))
      call refine(y_axis, divisions(2))
      call refine(z_axis, divisions(3))

      call culvert%create(meshtype="Cube3D", &
                          x_axis=x_axis, &
                          y_axis=y_axis, &
                          z_axis=z_axis)

      killElemList = int(zeros(culvert%ne()))

      do j = 1, culvert%ne()
         center_coord = culvert%centerPosition(ElementID=j)
         !if( abs(center_coord(2)) < Width/2.0d0-side_thickness )then
         !    if( -Height/2.0d0+bottom_thickness+edge_thickness < center_coord(3) .and.&
         !        center_coord(3) < Height/2.0d0-top_thickness-edge_thickness )then
         !        killElemList(j) = 1
         !    endif
         !endif
         if (abs(center_coord(2)) < Width/2.0d0 - side_thickness - edge_thickness) then
            if (-Height/2.0d0 + bottom_thickness < center_coord(3) .and. &
                center_coord(3) < Height/2.0d0 - top_thickness) then
               killElemList(j) = 1
            end if
         end if
      end do
      call culvert%killElement(blacklist=killElemList, flag=1)

      do i = 1, culvert%nn()
         coord = culvert%mesh%nodcoord(i, :)
         if (abs(coord(2)) > Width/2.0d0 - Side_thickness/2.0d0) cycle

         if (-Height/2.0d0 + bottom_thickness < coord(3) .and. &
             coord(3) < Height/2.0d0 - top_thickness) then
            if (Height/2.0d0 - top_thickness > coord(3) .and. &
                coord(3) > Height/2.0d0 - top_thickness - edge_thickness) then
               alpha = (Height/2.0d0 - top_thickness) - coord(3)
               alpha = alpha/edge_thickness

               if (coord(2) > 0.0d0) then
                  ! 0 < z < Height/2 - top_thickness
                  W = Width/2.0d0 - Side_thickness/2.0d0
                  y_bar = coord(2)
                  B = Width/2.0d0 - side_thickness - edge_thickness
                  T = Width/2.0d0 - side_thickness
                  culvert%mesh%nodcoord(i, 2) = alpha*((y_bar - B)*W + (W - y_bar)*T)/(W - B) &
                                                + (1 - alpha)*culvert%mesh%nodcoord(i, 2)
               end if

               if (coord(2) < 0.0d0) then
                  ! 0 < z < Height/2 - top_thickness
                  W = Width/2.0d0 - Side_thickness/2.0d0
                  y_bar = abs(coord(2))
                  B = Width/2.0d0 - side_thickness - edge_thickness
                  T = Width/2.0d0 - side_thickness
                  culvert%mesh%nodcoord(i, 2) = -alpha*abs(((y_bar - B)*W + (W - y_bar)*T)/(W - B)) &
                                                + (1 - alpha)*culvert%mesh%nodcoord(i, 2)
               end if
            elseif (-Height/2.0d0 + bottom_thickness < coord(3) .and. &
                    coord(3) < -Height/2.0d0 + bottom_thickness + edge_thickness) then
               alpha = abs(coord(3) - (-Height/2.0d0 + bottom_thickness))
               alpha = alpha/edge_thickness

               if (coord(2) > 0.0d0) then
                  ! 0 < z < Height/2 - bottom_thickness
                  W = Width/2.0d0 - Side_thickness/2.0d0
                  y_bar = coord(2)
                  B = Width/2.0d0 - side_thickness - edge_thickness
                  T = Width/2.0d0 - side_thickness
                  culvert%mesh%nodcoord(i, 2) = alpha*((y_bar - B)*W + (W - y_bar)*T)/(W - B) &
                                                + (1 - alpha)*culvert%mesh%nodcoord(i, 2)
               end if

               if (coord(2) < 0.0d0) then
                  ! 0 < z < Height/2 - bottom_thickness
                  W = Width/2.0d0 - Side_thickness/2.0d0
                  y_bar = abs(coord(2))
                  B = Width/2.0d0 - side_thickness - edge_thickness
                  T = Width/2.0d0 - side_thickness
                  culvert%mesh%nodcoord(i, 2) = -alpha*abs(((y_bar - B)*W + (W - y_bar)*T)/(W - B)) &
                                                + (1 - alpha)*culvert%mesh%nodcoord(i, 2)
               end if
            else
               if (coord(2) > 0.0d0) then
                  ! 0 < z < Height/2 - top_thickness
                  W = Width/2.0d0 - Side_thickness/2.0d0
                  y_bar = coord(2)
                  B = Width/2.0d0 - side_thickness - edge_thickness
                  T = Width/2.0d0 - side_thickness
                  culvert%mesh%nodcoord(i, 2) = ((y_bar - B)*W + (W - y_bar)*T)/(W - B)
               end if

               if (coord(2) < 0.0d0) then
                  ! 0 < z < Height/2 - top_thickness
                  W = Width/2.0d0 - Side_thickness/2.0d0
                  y_bar = abs(coord(2))
                  B = Width/2.0d0 - side_thickness - edge_thickness
                  T = Width/2.0d0 - side_thickness
                  culvert%mesh%nodcoord(i, 2) = -abs(((y_bar - B)*W + (W - y_bar)*T)/(W - B))
               end if
            end if
         end if
      end do

      if (present(cut_angles)) then
         ! cut-off edges
         do i = 1, culvert%nn()
            coord = culvert%mesh%nodcoord(i, :)
            if (coord(1) < 0.0d0) then
               alpha = coord(2)/(Width/2.0d0) ! alpha = [-1,1]
               alpha = (alpha + 1.0d0)*0.50d0 ! alpha = [0,1]
               culvert%mesh%nodcoord(i, 1) = culvert%mesh%nodcoord(i, 1) &
                                             - alpha*Width/(Length/2.0d0)*tan(radian(cut_angles(1)))*culvert%mesh%nodcoord(i, 1)
            else
               alpha = coord(2)/(Width/2.0d0) ! alpha = [-1,1]
               alpha = (alpha + 1.0d0)*0.50d0 ! alpha = [0,1]
               culvert%mesh%nodcoord(i, 1) = culvert%mesh%nodcoord(i, 1) &
                                             - alpha*Width/(Length/2.0d0)*tan(radian(cut_angles(2)))*culvert%mesh%nodcoord(i, 1)
            end if
         end do
      end if

      if (present(Socket_length)) then
         killElemList = int(zeros(culvert%ne()))
         do j = 1, culvert%ne()
            center_coord = culvert%centerPosition(ElementID=j)
            if (-Length/2.0d0 < center_coord(1) .and. center_coord(1) < -Length/2.0d0 + Socket_length) then
               if (-Width/2.0d0 + side_thickness/2.0d0 < center_coord(2) &
                   .and. center_coord(2) < Width/2.0d0 - side_thickness/2.0d0) then
                  if (-Height/2.0d0 + bottom_thickness/2.0d0 < center_coord(3) &
                      .and. center_coord(3) < Height/2.0d0 - top_thickness/2.0d0) then
                     killElemList(j) = 1
                  end if
               end if
            end if
         end do
         call culvert%killElement(blacklist=killElemList, flag=1)
      end if

      if (present(Spigot_length)) then
         killElemList = int(zeros(culvert%ne()))
         do j = 1, culvert%ne()
            center_coord = culvert%centerPosition(ElementID=j)
            if (center_coord(1) > Length/2.0d0) then
               if (-Width/2.0d0 + side_thickness/2.0d0 > center_coord(2) &
                   .or. center_coord(2) > Width/2.0d0 - side_thickness/2.0d0) then
                  killElemList(j) = 1
               end if
               if (-Height/2.0d0 + bottom_thickness/2.0d0 > center_coord(3) &
                   .or. center_coord(3) > Height/2.0d0 - top_thickness/2.0d0) then
                  killElemList(j) = 1
               end if
            end if
         end do
         call culvert%killElement(blacklist=killElemList, flag=1)
      end if

   end function
! ############################################################

   function BoxCulvertCivilItem_JSON(this, config) result(culvert)
      class(CivilItem_), intent(in) :: this
      character(*), intent(in) :: config
      type(FEMDomain_) :: culvert

      real(real64) :: width, height, length, &
                      top_thickness, side_thickness, bottom_thickness, &
                      edge_thickness, Cut_angles(1:2), position(1:3), rotation(1:3), &
                      Socket_length, Spigot_length
      integer(int32) :: divisions(1:3)

      type(IO_) :: json_file

      Width = freal(json_file%parse(filename=config, key1="Width"))
      Height = freal(json_file%parse(filename=config, key1="Height"))
      Length = freal(json_file%parse(filename=config, key1="Length"))
      Top_thickness = freal(json_file%parse(filename=config, key1="Top_thickness"))
      Side_thickness = freal(json_file%parse(filename=config, key1="Side_thickness"))
      Bottom_thickness = freal(json_file%parse(filename=config, key1="Bottom_thickness"))
      Edge_thickness = freal(json_file%parse(filename=config, key1="Edge_thickness"))
      Socket_length = freal(json_file%parse(filename=config, key1="Socket_length"))
      Spigot_length = freal(json_file%parse(filename=config, key1="Spigot_length"))

      divisions = to_intvector( &
                  json_file%parse(filename=config, key1="Divisions"), 3)

      cut_angles = to_vector( &
                   json_file%parse(filename=config, key1="Cut_angles"), 2)

      position = to_vector( &
                 json_file%parse(filename=config, key1="Position"), 3)

      rotation = to_vector( &
                 json_file%parse(filename=config, key1="Rotation"), 3)

      culvert = this%BoxCulvert( &
                width=width, &
                height=height, &
                length=length, &
                top_thickness=top_thickness, &
                side_thickness=side_thickness, &
                bottom_thickness=bottom_thickness, &
                edge_thickness=edge_thickness, &
                divisions=divisions, &
                Socket_length=Socket_length, &
                Spigot_length=Spigot_length, &
                cut_angles=cut_angles)
      call culvert%move(x=position(1), y=position(2), z=position(3))
      call culvert%rotate(x=radian(rotation(1)), &
                          y=radian(rotation(2)), &
                          z=radian(rotation(3)))

   end function
! ############################################################

end module