!
!
!                             AMG4PSBLAS version 1.0
!    Algebraic Multigrid Package
!               based on PSBLAS (Parallel Sparse BLAS version 3.7)
!
!    (C) Copyright 2021
!
!        Salvatore Filippone
!        Pasqua D'Ambra
!        Fabio Durastante
!
!    Redistribution and use in source and binary forms, with or without
!    modification, are permitted provided that the following conditions
!    are met:
!      1. Redistributions of source code must retain the above copyright
!         notice, this list of conditions and the following disclaimer.
!      2. Redistributions in binary form must reproduce the above copyright
!         notice, this list of conditions, and the following disclaimer in the
!         documentation and/or other materials provided with the distribution.
!      3. The name of the AMG4PSBLAS group or the names of its contributors may
!         not be used to endorse or promote products derived from this
!         software without specific written permission.
!
!    THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
!    ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
!    TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
!    PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE AMG4PSBLAS GROUP OR ITS CONTRIBUTORS
!    BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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!    ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
!    POSSIBILITY OF SUCH DAMAGE.
!
module amg_d_pde2d_poisson_mod
  use psb_base_mod, only : psb_dpk_, dzero, done
  real(psb_dpk_), save, private :: epsilon=done/80
contains
  subroutine pde_set_parm2d_poisson(dat)
    real(psb_dpk_), intent(in) :: dat
    epsilon = dat
  end subroutine pde_set_parm2d_poisson
  !
  ! functions parametrizing the differential equation
  !
  function b1_poisson(x,y)
    implicit none 
    real(psb_dpk_) :: b1_poisson
    real(psb_dpk_), intent(in) :: x,y
    b1_poisson = dzero
  end function b1_poisson
  function b2_poisson(x,y)
    implicit none 
    real(psb_dpk_) ::  b2_poisson
    real(psb_dpk_), intent(in) :: x,y
    b2_poisson = dzero
  end function b2_poisson
  function c_poisson(x,y)
    implicit none 
    real(psb_dpk_) ::  c_poisson
    real(psb_dpk_), intent(in) :: x,y
    c_poisson = dzero
  end function c_poisson
  function a1_poisson(x,y)
    implicit none 
    real(psb_dpk_) ::  a1_poisson
    real(psb_dpk_), intent(in) :: x,y
    a1_poisson=done*epsilon
  end function a1_poisson
  function a2_poisson(x,y)
    implicit none 
    real(psb_dpk_) ::  a2_poisson
    real(psb_dpk_), intent(in) :: x,y
    a2_poisson=done*epsilon
  end function a2_poisson
  function g_poisson(x,y)
    implicit none 
    real(psb_dpk_) ::  g_poisson
    real(psb_dpk_), intent(in) :: x,y
    g_poisson = dzero
    if (x == done) then
      g_poisson = done
    else if (x == dzero) then
      g_poisson = done
    end if
  end function g_poisson
end module amg_d_pde2d_poisson_mod