Interpolate_interface.F90

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!! NOTICE
!!  Copyright 2022 UChicago Argonne, LLC and contributors
!!
!!  Licensed under the Apache License, Version 2.0 (the "License");
!!  you may not use this file except in compliance with the License.
!!
!!  Unless required by applicable law or agreed to in writing, software
!!  distributed under the License is distributed on an "AS IS" BASIS,
!!  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
!!  See the License for the specific language governing permissions and
!!  limitations under the License.
!!
 
Module Interpolate_interface
 
  interface
    subroutine Interpolate_cubic1Dcoeffs (numberOfLines, a)
      integer, intent (in)    :: numberOfLines
      real,    intent (inout) :: a (1:4,*)
    end subroutine Interpolate_cubic1Dcoeffs
  end interface
 
  interface
    function Interpolate_cubic1DFd1d2 (a,x)
      real, intent (in) :: a (1:4)
      real, intent (in) :: x
      real :: Interpolate_cubic1DFd1d2 (1:3)
    end function Interpolate_cubic1DFd1d2
  end interface
 
  interface
    function Interpolate_cubic1DFd1 (a,x)
      real, intent (in) :: a (1:4)
      real, intent (in) :: x
      real :: Interpolate_cubic1DFd1 (1:2)
    end function Interpolate_cubic1DFd1
  end interface
 
  interface
    real function Interpolate_cubic1DF (a,x)
      real, intent (in) :: a (1:4)
      real, intent (in) :: x
    end function Interpolate_cubic1DF
  end interface
 
  interface
    subroutine Interpolate_cubic1DmonoDerv (nx,f,  fx)
      integer, intent (in)  :: nx
      real,    intent (in)  :: f  (0:nx+1)
      real,    intent (out) :: fx (1:nx  )
    end subroutine Interpolate_cubic1DmonoDerv
  end interface
 
  interface
    subroutine Interpolate_cubic2Dcoeffs (numberOfSquares, a)
      integer, intent (in)    :: numberOfSquares
      real,    intent (inout) :: a (1:16,*)
    end subroutine Interpolate_cubic2Dcoeffs
  end interface
 
  interface
    function Interpolate_cubic2DFd1d2 (a,x,y)
      real, intent (in) :: a (1:16)
      real, intent (in) :: x,y
      real :: Interpolate_cubic2DFd1d2 (1:6)
    end function Interpolate_cubic2DFd1d2
  end interface
 
  interface
    function Interpolate_cubic2DFd1 (a,x,y)
      real, intent (in) :: a (1:16)
      real, intent (in) :: x,y
      real :: Interpolate_cubic2DFd1 (1:3)
    end function Interpolate_cubic2DFd1
  end interface
 
  interface
    real function Interpolate_cubic2DF (a,x,y)
      real, intent (in) :: a (1:16)
      real, intent (in) :: x,y
    end function Interpolate_cubic2DF
  end interface
 
  interface
    subroutine Interpolate_cubic2DmonoDerv (nx, ny,        &
                                            f,             &
                                                       fx, &
                                                       fy, &
                                                       fxy )
      integer, intent (in)  :: nx, ny
      real,    intent (in)  :: f   (-1:nx+2 , -1:ny+2)
      real,    intent (out) :: fx  ( 0:nx+1 ,  0:ny+1)
      real,    intent (out) :: fy  ( 0:nx+1 ,  0:ny+1)
      real,    intent (out) :: fxy ( 1:nx   ,  1:ny  )
    end subroutine Interpolate_cubic2DmonoDerv
  end interface
 
  interface
    subroutine Interpolate_cubic3Dcoeffs (numberOfCubes, a)
      integer, intent (in)    :: numberOfCubes
      real,    intent (inout) :: a (1:64,*)
    end subroutine Interpolate_cubic3Dcoeffs
  end interface
 
  interface
    function Interpolate_cubic3DFd1d2 (a,x,y,z)
      real, intent (in) :: a (1:64)
      real, intent (in) :: x,y,z
      real :: Interpolate_cubic3DFd1d2 (1:10)
    end function Interpolate_cubic3DFd1d2
  end interface
 
  interface
    function Interpolate_cubic3DFd1 (a,x,y,z)
      real, intent (in) :: a (1:64)
      real, intent (in) :: x,y,z
      real :: Interpolate_cubic3DFd1 (1:4)
    end function Interpolate_cubic3DFd1
  end interface
 
  interface
    real function Interpolate_cubic3DF (a,x,y,z)
      real, intent (in) :: a (1:64)
      real, intent (in) :: x,y,z
    end function Interpolate_cubic3DF
  end interface
 
  interface
    subroutine Interpolate_cubic3DmonoDerv (nx, ny, nz,           &
                                            f,                    &
                                                     fx,fy,fz,    &
                                                     fxy,fxz,fyz, &
                                                     fxyz         )
      integer, intent (in)  :: nx, ny, nz
      real,    intent (in)  :: f    (-2:nx+3 , -2:ny+3 , -2:nz+3)
      real,    intent (out) :: fx   (-1:nx+2 , -1:ny+2 , -1:nz+2)
      real,    intent (out) :: fy   (-1:nx+2 , -1:ny+2 , -1:nz+2)
      real,    intent (out) :: fz   (-1:nx+2 , -1:ny+2 , -1:nz+2)
      real,    intent (out) :: fxy  ( 0:nx+1 ,  0:ny+1 ,  0:nz+1)
      real,    intent (out) :: fxz  ( 0:nx+1 ,  0:ny+1 ,  0:nz+1)
      real,    intent (out) :: fyz  ( 0:nx+1 ,  0:ny+1 ,  0:nz+1)
      real,    intent (out) :: fxyz ( 1:nx   ,  1:ny   ,  1:nz  )
    end subroutine Interpolate_cubic3DmonoDerv
  end interface
 
  interface
    subroutine Interpolate_finalize ()
    end subroutine Interpolate_finalize
  end interface
 
  interface
    subroutine Interpolate_init ()
    end subroutine Interpolate_init
  end interface
 
end Module Interpolate_interface