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psblas3/util/psb_s_genpde_mod.f90

147 lines
5.3 KiB
Fortran

!!$
!!$ Parallel Sparse BLAS version 3.1
!!$ (C) Copyright 2006, 2007, 2008, 2009, 2010, 2012, 2013
!!$ Salvatore Filippone University of Rome Tor Vergata
!!$ Alfredo Buttari CNRS-IRIT, Toulouse
!!$
!!$ 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 PSBLAS 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 PSBLAS GROUP OR ITS CONTRIBUTORS
!!$ BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
!!$ CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
!!$ SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
!!$ INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
!!$ CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
!!$ ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
!!$ POSSIBILITY OF SUCH DAMAGE.
!!$
!!$
module psb_s_genpde_mod
use psb_base_mod, only : psb_spk_, psb_ipk_, psb_desc_type,&
& psb_sspmat_type, psb_s_vect_type, szero,&
& psb_s_base_sparse_mat, psb_s_base_vect_type
interface
function s_func_3d(x,y,z) result(val)
import :: psb_spk_
real(psb_spk_), intent(in) :: x,y,z
real(psb_spk_) :: val
end function s_func_3d
end interface
interface psb_gen_pde3d
subroutine psb_s_gen_pde3d(ictxt,idim,a,bv,xv,desc_a,afmt,&
& a1,a2,a3,b1,b2,b3,c,g,info,f,amold,vmold,nrl)
!
! Discretizes the partial differential equation
!
! a1 dd(u) a2 dd(u) a3 dd(u) b1 d(u) b2 d(u) b3 d(u)
! - ------ - ------ - ------ + ----- + ------ + ------ + c u = f
! dxdx dydy dzdz dx dy dz
!
! with Dirichlet boundary conditions
! u = g
!
! on the unit cube 0<=x,y,z<=1.
!
!
! Note that if b1=b2=b3=c=0., the PDE is the Laplace equation.
!
import :: psb_ipk_, psb_desc_type, psb_sspmat_type, psb_s_vect_type, &
& s_func_3d, psb_s_base_sparse_mat, psb_s_base_vect_type
implicit none
procedure(s_func_3d) :: a1,a2,a3,c,b1,b2,b3,g
integer(psb_ipk_) :: idim
type(psb_sspmat_type) :: a
type(psb_s_vect_type) :: xv,bv
type(psb_desc_type) :: desc_a
integer(psb_ipk_) :: ictxt, info
character(len=*) :: afmt
procedure(s_func_3d), optional :: f
class(psb_s_base_sparse_mat), optional :: amold
class(psb_s_base_vect_type), optional :: vmold
integer(psb_ipk_), optional :: nrl
end subroutine psb_s_gen_pde3d
end interface
interface
function s_func_2d(x,y) result(val)
import :: psb_spk_
real(psb_spk_), intent(in) :: x,y
real(psb_spk_) :: val
end function s_func_2d
end interface
interface psb_gen_pde2d
subroutine psb_s_gen_pde2d(ictxt,idim,a,bv,xv,desc_a,afmt,&
& a1,a2,b1,b2,c,g,info,f,amold,vmold,nrl)
!
! Discretizes the partial differential equation
!
! a1 dd(u) a2 dd(u) b1 d(u) b2 d(u)
! - ------ - ------ + ----- + ------ + c u = f
! dxdx dydy dx dy
!
! with Dirichlet boundary conditions
! u = g
!
! on the unit square 0<=x,y<=1.
!
!
! Note that if b1=b2=c=0., the PDE is the Laplace equation.
!
import :: psb_ipk_, psb_desc_type, psb_sspmat_type, psb_s_vect_type,&
& s_func_2d, psb_s_base_sparse_mat, psb_s_base_vect_type
implicit none
procedure(s_func_2d) :: a1,a2,c,b1,b2,g
integer(psb_ipk_) :: idim
type(psb_sspmat_type) :: a
type(psb_s_vect_type) :: xv,bv
type(psb_desc_type) :: desc_a
integer(psb_ipk_) :: ictxt, info
character(len=*) :: afmt
procedure(s_func_2d), optional :: f
class(psb_s_base_sparse_mat), optional :: amold
class(psb_s_base_vect_type), optional :: vmold
integer(psb_ipk_), optional :: nrl
end subroutine psb_s_gen_pde2d
end interface
contains
function s_null_func_3d(x,y,z) result(val)
real(psb_spk_), intent(in) :: x,y,z
real(psb_spk_) :: val
val = szero
end function s_null_func_3d
function s_null_func_2d(x,y) result(val)
real(psb_spk_), intent(in) :: x,y
real(psb_spk_) :: val
val = szero
end function s_null_func_2d
end module psb_s_genpde_mod