!!$ !!$ 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_d_genpde_mod use psb_base_mod, only : psb_dpk_, psb_ipk_, psb_desc_type,& & psb_dspmat_type, psb_d_vect_type, dzero,& & psb_d_base_sparse_mat, psb_d_base_vect_type interface function d_func_3d(x,y,z) result(val) import :: psb_dpk_ real(psb_dpk_), intent(in) :: x,y,z real(psb_dpk_) :: val end function d_func_3d end interface interface psb_gen_pde3d subroutine psb_d_gen_pde3d(ictxt,idim,a,bv,xv,desc_a,afmt, & & a1,a2,a3,b1,b2,b3,c,g,info,f,amold,vmold) ! ! 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_dspmat_type, psb_d_vect_type,& & d_func_3d, psb_d_base_sparse_mat, psb_d_base_vect_type implicit none procedure(d_func_3d) :: a1,a2,a3,c,b1,b2,b3,g integer(psb_ipk_) :: idim type(psb_dspmat_type) :: a type(psb_d_vect_type) :: xv,bv type(psb_desc_type) :: desc_a integer(psb_ipk_) :: ictxt, info character(len=*) :: afmt procedure(d_func_3d), optional :: f class(psb_d_base_sparse_mat), optional :: amold class(psb_d_base_vect_type), optional :: vmold end subroutine psb_d_gen_pde3d end interface interface function d_func_2d(x,y) result(val) import :: psb_dpk_ real(psb_dpk_), intent(in) :: x,y real(psb_dpk_) :: val end function d_func_2d end interface interface psb_gen_pde2d subroutine psb_d_gen_pde2d(ictxt,idim,a,bv,xv,desc_a,afmt,& & a1,a2,b1,b2,c,g,info,f,amold,vmold) ! ! 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_dspmat_type, psb_d_vect_type,& & d_func_2d, psb_d_base_sparse_mat, psb_d_base_vect_type implicit none procedure(d_func_2d) :: a1,a2,c,b1,b2,g integer(psb_ipk_) :: idim type(psb_dspmat_type) :: a type(psb_d_vect_type) :: xv,bv type(psb_desc_type) :: desc_a integer(psb_ipk_) :: ictxt, info character(len=*) :: afmt procedure(d_func_2d), optional :: f class(psb_d_base_sparse_mat), optional :: amold class(psb_d_base_vect_type), optional :: vmold end subroutine psb_d_gen_pde2d end interface contains function d_null_func_3d(x,y,z) result(val) real(psb_dpk_), intent(in) :: x,y,z real(psb_dpk_) :: val val = dzero end function d_null_func_3d function d_null_func_2d(x,y) result(val) real(psb_dpk_), intent(in) :: x,y real(psb_dpk_) :: val val = dzero end function d_null_func_2d end module psb_d_genpde_mod