!!$
!!$ Parallel Sparse BLAS version 3.0
!!$ (C) Copyright 2006, 2007, 2008, 2009, 2010, 2012
!!$ 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_serial_mod
use psb_const_mod
use psb_error_mod
use psb_realloc_mod
use psb_string_mod
use psb_sort_mod
use psi_serial_mod, &
& psb_gth => psi_gth,&
& psb_sct => psi_sct
interface psb_nrm1
module procedure psb_snrm1, psb_dnrm1, psb_cnrm1, psb_znrm1
end interface psb_nrm1
interface psb_minreal
module procedure psb_sminreal, psb_dminreal, psb_cminreal, psb_zminreal
end interface psb_minreal
interface psb_amax
function psb_samax_s(n, x) result(val)
import :: psb_ipk_, psb_spk_, psb_dpk_
integer(psb_ipk_), intent(in) :: n
real(psb_spk_), intent(in) :: x(:)
real(psb_spk_) :: val
end function psb_samax_s
function psb_damax_s(n, x) result(val)
import :: psb_ipk_, psb_spk_, psb_dpk_
integer(psb_ipk_), intent(in) :: n
real(psb_dpk_), intent(in) :: x(:)
real(psb_dpk_) :: val
end function psb_damax_s
function psb_camax_s(n, x) result(val)
import :: psb_ipk_, psb_spk_, psb_dpk_
integer(psb_ipk_), intent(in) :: n
complex(psb_spk_), intent(in) :: x(:)
real(psb_spk_) :: val
end function psb_camax_s
function psb_zamax_s(n, x) result(val)
import :: psb_ipk_, psb_spk_, psb_dpk_
integer(psb_ipk_), intent(in) :: n
complex(psb_dpk_), intent(in) :: x(:)
real(psb_dpk_) :: val
end function psb_zamax_s
end interface psb_amax
interface psb_asum
function psb_sasum_s(n, x) result(val)
import :: psb_ipk_, psb_spk_, psb_dpk_
integer(psb_ipk_), intent(in) :: n
real(psb_spk_), intent(in) :: x(:)
real(psb_spk_) :: val
end function psb_sasum_s
function psb_dasum_s(n, x) result(val)
import :: psb_ipk_, psb_spk_, psb_dpk_
integer(psb_ipk_), intent(in) :: n
real(psb_dpk_), intent(in) :: x(:)
real(psb_dpk_) :: val
end function psb_dasum_s
function psb_casum_s(n, x) result(val)
import :: psb_ipk_, psb_spk_, psb_dpk_
integer(psb_ipk_), intent(in) :: n
complex(psb_spk_), intent(in) :: x(:)
real(psb_spk_) :: val
end function psb_casum_s
function psb_zasum_s(n, x) result(val)
import :: psb_ipk_, psb_spk_, psb_dpk_
integer(psb_ipk_), intent(in) :: n
complex(psb_dpk_), intent(in) :: x(:)
real(psb_dpk_) :: val
end function psb_zasum_s
end interface psb_asum
interface psb_symbmm
subroutine psb_ssymbmm(a,b,c,info)
use psb_mat_mod, only : psb_sspmat_type
import :: psb_ipk_
implicit none
type(psb_sspmat_type), intent(in) :: a,b
type(psb_sspmat_type), intent(out) :: c
integer(psb_ipk_), intent(out) :: info
end subroutine psb_ssymbmm
subroutine psb_sbase_symbmm(a,b,c,info)
use psb_mat_mod, only : psb_s_base_sparse_mat, psb_s_csr_sparse_mat
import :: psb_ipk_
implicit none
class(psb_s_base_sparse_mat), intent(in) :: a,b
type(psb_s_csr_sparse_mat), intent(out) :: c
integer(psb_ipk_), intent(out) :: info
end subroutine psb_sbase_symbmm
subroutine psb_dsymbmm(a,b,c,info)
use psb_mat_mod, only : psb_dspmat_type
import :: psb_ipk_
implicit none
type(psb_dspmat_type), intent(in) :: a,b
type(psb_dspmat_type), intent(out) :: c
integer(psb_ipk_), intent(out) :: info
end subroutine psb_dsymbmm
subroutine psb_dbase_symbmm(a,b,c,info)
use psb_mat_mod, only : psb_d_base_sparse_mat, psb_d_csr_sparse_mat
import :: psb_ipk_
implicit none
class(psb_d_base_sparse_mat), intent(in) :: a,b
type(psb_d_csr_sparse_mat), intent(out) :: c
integer(psb_ipk_), intent(out) :: info
end subroutine psb_dbase_symbmm
subroutine psb_csymbmm(a,b,c,info)
use psb_mat_mod, only : psb_cspmat_type
import :: psb_ipk_
implicit none
type(psb_cspmat_type), intent(in) :: a,b
type(psb_cspmat_type), intent(out) :: c
integer(psb_ipk_), intent(out) :: info
end subroutine psb_csymbmm
subroutine psb_cbase_symbmm(a,b,c,info)
use psb_mat_mod, only : psb_c_base_sparse_mat, psb_c_csr_sparse_mat
import :: psb_ipk_
implicit none
class(psb_c_base_sparse_mat), intent(in) :: a,b
type(psb_c_csr_sparse_mat), intent(out) :: c
integer(psb_ipk_), intent(out) :: info
end subroutine psb_cbase_symbmm
subroutine psb_zsymbmm(a,b,c,info)
use psb_mat_mod, only : psb_zspmat_type
import :: psb_ipk_
implicit none
type(psb_zspmat_type), intent(in) :: a,b
type(psb_zspmat_type), intent(out) :: c
integer(psb_ipk_), intent(out) :: info
end subroutine psb_zsymbmm
subroutine psb_zbase_symbmm(a,b,c,info)
use psb_mat_mod, only : psb_z_base_sparse_mat, psb_z_csr_sparse_mat
import :: psb_ipk_
implicit none
class(psb_z_base_sparse_mat), intent(in) :: a,b
type(psb_z_csr_sparse_mat), intent(out) :: c
integer(psb_ipk_), intent(out) :: info
end subroutine psb_zbase_symbmm
end interface psb_symbmm
interface psb_numbmm
subroutine psb_snumbmm(a,b,c)
use psb_mat_mod, only : psb_sspmat_type
import :: psb_ipk_
implicit none
type(psb_sspmat_type), intent(in) :: a,b
type(psb_sspmat_type), intent(inout) :: c
end subroutine psb_snumbmm
subroutine psb_sbase_numbmm(a,b,c)
use psb_mat_mod, only : psb_s_base_sparse_mat, psb_s_csr_sparse_mat
import :: psb_ipk_
implicit none
class(psb_s_base_sparse_mat), intent(in) :: a,b
type(psb_s_csr_sparse_mat), intent(inout) :: c
end subroutine psb_sbase_numbmm
subroutine psb_dnumbmm(a,b,c)
use psb_mat_mod, only : psb_dspmat_type
import :: psb_ipk_
implicit none
type(psb_dspmat_type), intent(in) :: a,b
type(psb_dspmat_type), intent(inout) :: c
end subroutine psb_dnumbmm
subroutine psb_dbase_numbmm(a,b,c)
use psb_mat_mod, only : psb_d_base_sparse_mat, psb_d_csr_sparse_mat
import :: psb_ipk_
implicit none
class(psb_d_base_sparse_mat), intent(in) :: a,b
type(psb_d_csr_sparse_mat), intent(inout) :: c
end subroutine psb_dbase_numbmm
subroutine psb_cnumbmm(a,b,c)
use psb_mat_mod, only : psb_cspmat_type
import :: psb_ipk_
implicit none
type(psb_cspmat_type), intent(in) :: a,b
type(psb_cspmat_type), intent(inout) :: c
end subroutine psb_cnumbmm
subroutine psb_cbase_numbmm(a,b,c)
use psb_mat_mod, only : psb_c_base_sparse_mat, psb_c_csr_sparse_mat
import :: psb_ipk_
implicit none
class(psb_c_base_sparse_mat), intent(in) :: a,b
type(psb_c_csr_sparse_mat), intent(inout) :: c
end subroutine psb_cbase_numbmm
subroutine psb_znumbmm(a,b,c)
use psb_mat_mod, only : psb_zspmat_type
import :: psb_ipk_
implicit none
type(psb_zspmat_type), intent(in) :: a,b
type(psb_zspmat_type), intent(inout) :: c
end subroutine psb_znumbmm
subroutine psb_zbase_numbmm(a,b,c)
use psb_mat_mod, only : psb_z_base_sparse_mat, psb_z_csr_sparse_mat
import :: psb_ipk_
implicit none
class(psb_z_base_sparse_mat), intent(in) :: a,b
type(psb_z_csr_sparse_mat), intent(inout) :: c
end subroutine psb_zbase_numbmm
end interface psb_numbmm
interface psb_rwextd
subroutine psb_srwextd(nr,a,info,b,rowscale)
use psb_mat_mod, only : psb_sspmat_type
import :: psb_ipk_
implicit none
integer(psb_ipk_), intent(in) :: nr
type(psb_sspmat_type), intent(inout) :: a
integer(psb_ipk_),intent(out) :: info
type(psb_sspmat_type), intent(in), optional :: b
logical,intent(in), optional :: rowscale
end subroutine psb_srwextd
subroutine psb_sbase_rwextd(nr,a,info,b,rowscale)
use psb_mat_mod, only : psb_s_base_sparse_mat
import :: psb_ipk_
implicit none
integer(psb_ipk_), intent(in) :: nr
class(psb_s_base_sparse_mat), intent(inout) :: a
integer(psb_ipk_),intent(out) :: info
class(psb_s_base_sparse_mat), intent(in), optional :: b
logical,intent(in), optional :: rowscale
end subroutine psb_sbase_rwextd
subroutine psb_drwextd(nr,a,info,b,rowscale)
use psb_mat_mod, only : psb_dspmat_type
import :: psb_ipk_
implicit none
integer(psb_ipk_), intent(in) :: nr
type(psb_dspmat_type), intent(inout) :: a
integer(psb_ipk_),intent(out) :: info
type(psb_dspmat_type), intent(in), optional :: b
logical,intent(in), optional :: rowscale
end subroutine psb_drwextd
subroutine psb_dbase_rwextd(nr,a,info,b,rowscale)
use psb_mat_mod, only : psb_d_base_sparse_mat
import :: psb_ipk_
implicit none
integer(psb_ipk_), intent(in) :: nr
class(psb_d_base_sparse_mat), intent(inout) :: a
integer(psb_ipk_),intent(out) :: info
class(psb_d_base_sparse_mat), intent(in), optional :: b
logical,intent(in), optional :: rowscale
end subroutine psb_dbase_rwextd
subroutine psb_crwextd(nr,a,info,b,rowscale)
use psb_mat_mod, only : psb_cspmat_type
import :: psb_ipk_
implicit none
integer(psb_ipk_), intent(in) :: nr
type(psb_cspmat_type), intent(inout) :: a
integer(psb_ipk_),intent(out) :: info
type(psb_cspmat_type), intent(in), optional :: b
logical,intent(in), optional :: rowscale
end subroutine psb_crwextd
subroutine psb_cbase_rwextd(nr,a,info,b,rowscale)
use psb_mat_mod, only : psb_c_base_sparse_mat
import :: psb_ipk_
implicit none
integer(psb_ipk_), intent(in) :: nr
class(psb_c_base_sparse_mat), intent(inout) :: a
integer(psb_ipk_),intent(out) :: info
class(psb_c_base_sparse_mat), intent(in), optional :: b
logical,intent(in), optional :: rowscale
end subroutine psb_cbase_rwextd
subroutine psb_zrwextd(nr,a,info,b,rowscale)
use psb_mat_mod, only : psb_zspmat_type
import :: psb_ipk_
implicit none
integer(psb_ipk_), intent(in) :: nr
type(psb_zspmat_type), intent(inout) :: a
integer(psb_ipk_),intent(out) :: info
type(psb_zspmat_type), intent(in), optional :: b
logical,intent(in), optional :: rowscale
end subroutine psb_zrwextd
subroutine psb_zbase_rwextd(nr,a,info,b,rowscale)
use psb_mat_mod, only : psb_z_base_sparse_mat
import :: psb_ipk_
implicit none
integer(psb_ipk_), intent(in) :: nr
class(psb_z_base_sparse_mat), intent(inout) :: a
integer(psb_ipk_),intent(out) :: info
class(psb_z_base_sparse_mat), intent(in), optional :: b
logical,intent(in), optional :: rowscale
end subroutine psb_zbase_rwextd
end interface psb_rwextd
interface psb_geprt
subroutine psb_sgeprtn2(fname,a,head)
use psb_const_mod, only : psb_spk_, psb_ipk_
character(len=*), intent(in) :: fname
real(psb_spk_), intent(in) :: a(:,:)
character(len=*), optional :: head
end subroutine psb_sgeprtn2
subroutine psb_sgeprtn1(fname,a,head)
use psb_const_mod, only : psb_spk_, psb_ipk_
character(len=*), intent(in) :: fname
real(psb_spk_), intent(in) :: a(:)
character(len=*), optional :: head
end subroutine psb_sgeprtn1
subroutine psb_sgeprt2(iout,a,head)
use psb_const_mod, only : psb_spk_, psb_ipk_
integer(psb_ipk_), intent(in) :: iout
real(psb_spk_), intent(in) :: a(:,:)
character(len=*), optional :: head
end subroutine psb_sgeprt2
subroutine psb_sgeprt1(iout,a,head)
use psb_const_mod, only : psb_spk_, psb_ipk_
integer(psb_ipk_), intent(in) :: iout
real(psb_spk_), intent(in) :: a(:)
character(len=*), optional :: head
end subroutine psb_sgeprt1
subroutine psb_dgeprtn2(fname,a,head)
use psb_const_mod, only : psb_dpk_, psb_ipk_
character(len=*), intent(in) :: fname
real(psb_dpk_), intent(in) :: a(:,:)
character(len=*), optional :: head
end subroutine psb_dgeprtn2
subroutine psb_dgeprtn1(fname,a,head)
use psb_const_mod, only : psb_dpk_, psb_ipk_
character(len=*), intent(in) :: fname
real(psb_dpk_), intent(in) :: a(:)
character(len=*), optional :: head
end subroutine psb_dgeprtn1
subroutine psb_dgeprt2(iout,a,head)
use psb_const_mod, only : psb_dpk_, psb_ipk_
integer(psb_ipk_), intent(in) :: iout
real(psb_dpk_), intent(in) :: a(:,:)
character(len=*), optional :: head
end subroutine psb_dgeprt2
subroutine psb_dgeprt1(iout,a,head)
use psb_const_mod, only : psb_dpk_, psb_ipk_
integer(psb_ipk_), intent(in) :: iout
real(psb_dpk_), intent(in) :: a(:)
character(len=*), optional :: head
end subroutine psb_dgeprt1
subroutine psb_cgeprtn2(fname,a,head)
use psb_const_mod, only : psb_spk_, psb_ipk_
character(len=*), intent(in) :: fname
complex(psb_spk_), intent(in) :: a(:,:)
character(len=*), optional :: head
end subroutine psb_cgeprtn2
subroutine psb_cgeprtn1(fname,a,head)
use psb_const_mod, only : psb_spk_, psb_ipk_
character(len=*), intent(in) :: fname
complex(psb_spk_), intent(in) :: a(:)
character(len=*), optional :: head
end subroutine psb_cgeprtn1
subroutine psb_cgeprt2(iout,a,head)
use psb_const_mod, only : psb_spk_, psb_ipk_
integer(psb_ipk_), intent(in) :: iout
complex(psb_spk_), intent(in) :: a(:,:)
character(len=*), optional :: head
end subroutine psb_cgeprt2
subroutine psb_cgeprt1(iout,a,head)
use psb_const_mod, only : psb_spk_, psb_ipk_
integer(psb_ipk_), intent(in) :: iout
complex(psb_spk_), intent(in) :: a(:)
character(len=*), optional :: head
end subroutine psb_cgeprt1
subroutine psb_zgeprtn2(fname,a,head)
use psb_const_mod, only : psb_dpk_, psb_ipk_
character(len=*), intent(in) :: fname
complex(psb_dpk_), intent(in) :: a(:,:)
character(len=*), optional :: head
end subroutine psb_zgeprtn2
subroutine psb_zgeprtn1(fname,a,head)
use psb_const_mod, only : psb_dpk_, psb_ipk_
character(len=*), intent(in) :: fname
complex(psb_dpk_), intent(in) :: a(:)
character(len=*), optional :: head
end subroutine psb_zgeprtn1
subroutine psb_zgeprt2(iout,a,head)
use psb_const_mod, only : psb_dpk_, psb_ipk_
integer(psb_ipk_), intent(in) :: iout
complex(psb_dpk_), intent(in) :: a(:,:)
character(len=*), optional :: head
end subroutine psb_zgeprt2
subroutine psb_zgeprt1(iout,a,head)
use psb_const_mod, only : psb_dpk_, psb_ipk_
integer(psb_ipk_), intent(in) :: iout
complex(psb_dpk_), intent(in) :: a(:)
character(len=*), optional :: head
end subroutine psb_zgeprt1
end interface psb_geprt
interface psb_csprt
module procedure psb_scsprt, psb_scsprtn, psb_dcsprt, psb_dcsprtn, &
& psb_ccsprt, psb_ccsprtn, psb_zcsprt, psb_zcsprtn
end interface psb_csprt
interface psb_spdot_srtd
function psb_s_spdot_srtd(nv1,iv1,v1,nv2,iv2,v2) result(dot)
use psb_const_mod, only : psb_ipk_, psb_spk_, psb_dpk_
integer(psb_ipk_), intent(in) :: nv1,nv2
integer(psb_ipk_), intent(in) :: iv1(*), iv2(*)
real(psb_spk_), intent(in) :: v1(*),v2(*)
real(psb_spk_) :: dot
end function psb_s_spdot_srtd
function psb_d_spdot_srtd(nv1,iv1,v1,nv2,iv2,v2) result(dot)
use psb_const_mod, only : psb_ipk_, psb_spk_, psb_dpk_
integer(psb_ipk_), intent(in) :: nv1,nv2
integer(psb_ipk_), intent(in) :: iv1(*), iv2(*)
real(psb_dpk_), intent(in) :: v1(*), v2(*)
real(psb_dpk_) :: dot
end function psb_d_spdot_srtd
function psb_c_spdot_srtd(nv1,iv1,v1,nv2,iv2,v2) result(dot)
use psb_const_mod, only : psb_ipk_, psb_spk_, psb_dpk_
integer(psb_ipk_), intent(in) :: nv1,nv2
integer(psb_ipk_), intent(in) :: iv1(*), iv2(*)
complex(psb_spk_), intent(in) :: v1(*),v2(*)
complex(psb_spk_) :: dot
end function psb_c_spdot_srtd
function psb_z_spdot_srtd(nv1,iv1,v1,nv2,iv2,v2) result(dot)
use psb_const_mod, only : psb_ipk_, psb_spk_, psb_dpk_
integer(psb_ipk_), intent(in) :: nv1,nv2
integer(psb_ipk_), intent(in) :: iv1(*), iv2(*)
complex(psb_dpk_), intent(in) :: v1(*),v2(*)
complex(psb_dpk_) :: dot
end function psb_z_spdot_srtd
end interface psb_spdot_srtd
interface psb_spge_dot
function psb_s_spge_dot(nv1,iv1,v1,v2) result(dot)
use psb_const_mod, only : psb_ipk_, psb_spk_, psb_dpk_
integer(psb_ipk_), intent(in) :: nv1
integer(psb_ipk_), intent(in) :: iv1(*)
real(psb_spk_), intent(in) :: v1(*),v2(*)
real(psb_spk_) :: dot
end function psb_s_spge_dot
function psb_d_spge_dot(nv1,iv1,v1,v2) result(dot)
use psb_const_mod, only : psb_ipk_, psb_spk_, psb_dpk_
integer(psb_ipk_), intent(in) :: nv1
integer(psb_ipk_), intent(in) :: iv1(*)
real(psb_dpk_), intent(in) :: v1(*),v2(*)
real(psb_dpk_) :: dot
end function psb_d_spge_dot
function psb_c_spge_dot(nv1,iv1,v1,v2) result(dot)
use psb_const_mod, only : psb_ipk_, psb_spk_, psb_dpk_
integer(psb_ipk_), intent(in) :: nv1
integer(psb_ipk_), intent(in) :: iv1(*)
complex(psb_spk_), intent(in) :: v1(*),v2(*)
complex(psb_spk_) :: dot
end function psb_c_spge_dot
function psb_z_spge_dot(nv1,iv1,v1,v2) result(dot)
use psb_const_mod, only : psb_ipk_, psb_spk_, psb_dpk_
integer(psb_ipk_), intent(in) :: nv1
integer(psb_ipk_), intent(in) :: iv1(*)
complex(psb_dpk_), intent(in) :: v1(*),v2(*)
complex(psb_dpk_) :: dot
end function psb_z_spge_dot
end interface psb_spge_dot
interface psb_nspaxpby
subroutine psb_d_nspaxpby(nz,iz,z,alpha, nx, ix, x, beta, ny,iy,y,info)
use psb_const_mod, only : psb_ipk_, psb_spk_, psb_dpk_
integer(psb_ipk_), intent(out) :: nz
integer(psb_ipk_), intent(out) :: iz(:)
real(psb_dpk_), intent (out) :: z(:)
integer(psb_ipk_), intent(in) :: nx, ny
integer(psb_ipk_), intent(in) :: ix(:), iy(:)
real(psb_dpk_), intent (in) :: x(:), y(:)
real(psb_dpk_), intent (in) :: alpha, beta
integer(psb_ipk_), intent(out) :: info
end subroutine psb_d_nspaxpby
end interface psb_nspaxpby
interface psb_aspxpby
subroutine psb_s_aspxpby(alpha, nx, ix, x, beta, y, info)
use psb_const_mod, only : psb_ipk_, psb_spk_, psb_dpk_
integer(psb_ipk_), intent(in) :: nx
integer(psb_ipk_), intent(in) :: ix(:)
real(psb_spk_), intent (in) :: x(:)
real(psb_spk_), intent (inout) :: y(:)
real(psb_spk_), intent (in) :: alpha, beta
integer(psb_ipk_), intent(out) :: info
end subroutine psb_s_aspxpby
subroutine psb_d_aspxpby(alpha, nx, ix, x, beta, y, info)
use psb_const_mod, only : psb_ipk_, psb_spk_, psb_dpk_
integer(psb_ipk_), intent(in) :: nx
integer(psb_ipk_), intent(in) :: ix(:)
real(psb_dpk_), intent (in) :: x(:)
real(psb_dpk_), intent (inout) :: y(:)
real(psb_dpk_), intent (in) :: alpha, beta
integer(psb_ipk_), intent(out) :: info
end subroutine psb_d_aspxpby
subroutine psb_c_aspxpby(alpha, nx, ix, x, beta, y, info)
use psb_const_mod, only : psb_ipk_, psb_spk_, psb_dpk_
integer(psb_ipk_), intent(in) :: nx
integer(psb_ipk_), intent(in) :: ix(:)
complex(psb_spk_), intent (in) :: x(:)
complex(psb_spk_), intent (inout) :: y(:)
complex(psb_spk_), intent (in) :: alpha, beta
integer(psb_ipk_), intent(out) :: info
end subroutine psb_c_aspxpby
subroutine psb_z_aspxpby(alpha, nx, ix, x, beta, y, info)
use psb_const_mod, only : psb_ipk_, psb_spk_, psb_dpk_
integer(psb_ipk_), intent(in) :: nx
integer(psb_ipk_), intent(in) :: ix(:)
complex(psb_dpk_), intent (in) :: x(:)
complex(psb_dpk_), intent (inout) :: y(:)
complex(psb_dpk_), intent (in) :: alpha, beta
integer(psb_ipk_), intent(out) :: info
end subroutine psb_z_aspxpby
end interface psb_aspxpby
contains
elemental function psb_snrm1(x) result(res)
real(psb_spk_), intent(in) :: x
real(psb_spk_) :: res
res = abs( x )
end function psb_snrm1
elemental function psb_dnrm1(x) result(res)
real(psb_dpk_), intent(in) :: x
real(psb_dpk_) :: res
res = abs( x )
end function psb_dnrm1
elemental function psb_cnrm1(x) result(res)
complex(psb_spk_), intent(in) :: x
real(psb_spk_) :: res
res = abs( real( x ) ) + abs( aimag( x ) )
end function psb_cnrm1
elemental function psb_znrm1(x) result(res)
complex(psb_dpk_), intent(in) :: x
real(psb_dpk_) :: res
res = abs( real( x ) ) + abs( aimag( x ) )
end function psb_znrm1
elemental function psb_sminreal(x) result(res)
real(psb_spk_), intent(in) :: x
real(psb_spk_) :: res
res = ( x )
end function psb_sminreal
elemental function psb_dminreal(x) result(res)
real(psb_dpk_), intent(in) :: x
real(psb_dpk_) :: res
res = ( x )
end function psb_dminreal
elemental function psb_cminreal(x) result(res)
complex(psb_spk_), intent(in) :: x
real(psb_spk_) :: res
res = min( real( x ) , aimag( x ) )
end function psb_cminreal
elemental function psb_zminreal(x) result(res)
complex(psb_dpk_), intent(in) :: x
real(psb_dpk_) :: res
res = min( real( x ) , aimag( x ) )
end function psb_zminreal
subroutine crot( n, cx, incx, cy, incy, c, s )
!
! -- lapack auxiliary routine (version 3.0) --
! univ. of tennessee, univ. of california berkeley, nag ltd.,
! courant institute, argonne national lab, and rice university
! october 31, 1992
!
! .. scalar arguments ..
integer(psb_mpik_) :: incx, incy, n
real(psb_spk_) c
complex(psb_spk_) s
! ..
! .. array arguments ..
complex(psb_spk_) cx( * ), cy( * )
! ..
!
! purpose
! == = ====
!
! zrot applies a plane rotation, where the cos (c) is real and the
! sin (s) is complex, and the vectors cx and cy are complex.
!
! arguments
! == = ======
!
! n (input) integer
! the number of elements in the vectors cx and cy.
!
! cx (input/output) complex*16 array, dimension (n)
! on input, the vector x.
! on output, cx is overwritten with c*x + s*y.
!
! incx (input) integer
! the increment between successive values of cy. incx <> 0.
!
! cy (input/output) complex*16 array, dimension (n)
! on input, the vector y.
! on output, cy is overwritten with -conjg(s)*x + c*y.
!
! incy (input) integer
! the increment between successive values of cy. incx <> 0.
!
! c (input) double precision
! s (input) complex*16
! c and s define a rotation
! [ c s ]
! [ -conjg(s) c ]
! where c*c + s*conjg(s) = 1.0.
!
! == = ==================================================================
!
! .. local scalars ..
integer(psb_mpik_) :: i, ix, iy
complex(psb_spk_) stemp
! ..
! .. intrinsic functions ..
! ..
! .. executable statements ..
!
if( n <= 0 ) return
if( incx == 1 .and. incy == 1 ) then
!
! code for both increments equal to 1
!
do i = 1, n
stemp = c*cx(i) + s*cy(i)
cy(i) = c*cy(i) - conjg(s)*cx(i)
cx(i) = stemp
end do
else
!
! code for unequal increments or equal increments not equal to 1
!
ix = 1
iy = 1
if( incx < 0 )ix = ( -n+1 )*incx + 1
if( incy < 0 )iy = ( -n+1 )*incy + 1
do i = 1, n
stemp = c*cx(ix) + s*cy(iy)
cy(iy) = c*cy(iy) - conjg(s)*cx(ix)
cx(ix) = stemp
ix = ix + incx
iy = iy + incy
end do
end if
return
end subroutine crot
!
!
subroutine crotg(ca,cb,c,s)
complex(psb_spk_) ca,cb,s
real(psb_spk_) c
real(psb_spk_) norm,scale
complex(psb_spk_) alpha
!
if (cabs(ca) == 0.0) then
!
c = 0.0d0
s = (1.0,0.0)
ca = cb
return
end if
!
scale = cabs(ca) + cabs(cb)
norm = scale*sqrt((cabs(ca/cmplx(scale,0.0)))**2 +&
& (cabs(cb/cmplx(scale,0.0)))**2)
alpha = ca /cabs(ca)
c = cabs(ca) / norm
s = alpha * conjg(cb) / norm
ca = alpha * norm
!
return
end subroutine crotg
subroutine zrot( n, cx, incx, cy, incy, c, s )
!
! -- lapack auxiliary routine (version 3.0) --
! univ. of tennessee, univ. of california berkeley, nag ltd.,
! courant institute, argonne national lab, and rice university
! october 31, 1992
!
! .. scalar arguments ..
integer(psb_mpik_) :: incx, incy, n
real(psb_dpk_) c
complex(psb_dpk_) s
! ..
! .. array arguments ..
complex(psb_dpk_) cx( * ), cy( * )
! ..
!
! purpose
! == = ====
!
! zrot applies a plane rotation, where the cos (c) is real and the
! sin (s) is complex, and the vectors cx and cy are complex.
!
! arguments
! == = ======
!
! n (input) integer
! the number of elements in the vectors cx and cy.
!
! cx (input/output) complex*16 array, dimension (n)
! on input, the vector x.
! on output, cx is overwritten with c*x + s*y.
!
! incx (input) integer
! the increment between successive values of cy. incx <> 0.
!
! cy (input/output) complex*16 array, dimension (n)
! on input, the vector y.
! on output, cy is overwritten with -conjg(s)*x + c*y.
!
! incy (input) integer
! the increment between successive values of cy. incx <> 0.
!
! c (input) double precision
! s (input) complex*16
! c and s define a rotation
! [ c s ]
! [ -conjg(s) c ]
! where c*c + s*conjg(s) = 1.0.
!
! == = ==================================================================
!
! .. local scalars ..
integer(psb_mpik_) :: i, ix, iy
complex(psb_dpk_) stemp
! ..
! .. intrinsic functions ..
intrinsic dconjg
! ..
! .. executable statements ..
!
if( n <= 0 ) return
if( incx == 1 .and. incy == 1 ) then
!
! code for both increments equal to 1
!
do i = 1, n
stemp = c*cx(i) + s*cy(i)
cy(i) = c*cy(i) - dconjg(s)*cx(i)
cx(i) = stemp
end do
else
!
! code for unequal increments or equal increments not equal to 1
!
ix = 1
iy = 1
if( incx < 0 )ix = ( -n+1 )*incx + 1
if( incy < 0 )iy = ( -n+1 )*incy + 1
do i = 1, n
stemp = c*cx(ix) + s*cy(iy)
cy(iy) = c*cy(iy) - dconjg(s)*cx(ix)
cx(ix) = stemp
ix = ix + incx
iy = iy + incy
end do
end if
return
return
end subroutine zrot
!
!
subroutine zrotg(ca,cb,c,s)
complex(psb_dpk_) ca,cb,s
real(psb_dpk_) c
real(psb_dpk_) norm,scale
complex(psb_dpk_) alpha
!
if (cdabs(ca) == 0.0d0) then
!
c = 0.0d0
s = (1.0d0,0.0d0)
ca = cb
return
end if
!
scale = cdabs(ca) + cdabs(cb)
norm = scale*dsqrt((cdabs(ca/cmplx(scale,0.0d0,kind=psb_dpk_)))**2 +&
& (cdabs(cb/cmplx(scale,0.0d0,kind=psb_dpk_)))**2)
alpha = ca /cdabs(ca)
c = cdabs(ca) / norm
s = alpha * conjg(cb) / norm
ca = alpha * norm
!
return
end subroutine zrotg
subroutine psb_scsprt(iout,a,iv,head,ivr,ivc)
use psb_mat_mod
integer(psb_ipk_), intent(in) :: iout
type(psb_sspmat_type), intent(in) :: a
integer(psb_ipk_), intent(in), optional :: iv(:)
character(len=*), optional :: head
integer(psb_ipk_), intent(in), optional :: ivr(:),ivc(:)
call a%print(iout,iv,head,ivr,ivc)
end subroutine psb_scsprt
subroutine psb_scsprtn(fname,a,iv,head,ivr,ivc)
use psb_mat_mod
character(len=*), intent(in) :: fname
type(psb_sspmat_type), intent(in) :: a
integer(psb_ipk_), intent(in), optional :: iv(:)
character(len=*), optional :: head
integer(psb_ipk_), intent(in), optional :: ivr(:),ivc(:)
call a%print(fname,iv,head,ivr,ivc)
end subroutine psb_scsprtn
subroutine psb_dcsprt(iout,a,iv,head,ivr,ivc)
use psb_mat_mod
integer(psb_ipk_), intent(in) :: iout
type(psb_dspmat_type), intent(in) :: a
integer(psb_ipk_), intent(in), optional :: iv(:)
character(len=*), optional :: head
integer(psb_ipk_), intent(in), optional :: ivr(:),ivc(:)
call a%print(iout,iv,head,ivr,ivc)
end subroutine psb_dcsprt
subroutine psb_dcsprtn(fname,a,iv,head,ivr,ivc)
use psb_mat_mod
character(len=*), intent(in) :: fname
type(psb_dspmat_type), intent(in) :: a
integer(psb_ipk_), intent(in), optional :: iv(:)
character(len=*), optional :: head
integer(psb_ipk_), intent(in), optional :: ivr(:),ivc(:)
call a%print(fname,iv,head,ivr,ivc)
end subroutine psb_dcsprtn
subroutine psb_ccsprt(iout,a,iv,head,ivr,ivc)
use psb_mat_mod
integer(psb_ipk_), intent(in) :: iout
type(psb_cspmat_type), intent(in) :: a
integer(psb_ipk_), intent(in), optional :: iv(:)
character(len=*), optional :: head
integer(psb_ipk_), intent(in), optional :: ivr(:),ivc(:)
call a%print(iout,iv,head,ivr,ivc)
end subroutine psb_ccsprt
subroutine psb_ccsprtn(fname,a,iv,head,ivr,ivc)
use psb_mat_mod
character(len=*), intent(in) :: fname
type(psb_cspmat_type), intent(in) :: a
integer(psb_ipk_), intent(in), optional :: iv(:)
character(len=*), optional :: head
integer(psb_ipk_), intent(in), optional :: ivr(:),ivc(:)
call a%print(fname,iv,head,ivr,ivc)
end subroutine psb_ccsprtn
subroutine psb_zcsprt(iout,a,iv,head,ivr,ivc)
use psb_mat_mod
integer(psb_ipk_), intent(in) :: iout
type(psb_zspmat_type), intent(in) :: a
integer(psb_ipk_), intent(in), optional :: iv(:)
character(len=*), optional :: head
integer(psb_ipk_), intent(in), optional :: ivr(:),ivc(:)
call a%print(iout,iv,head,ivr,ivc)
end subroutine psb_zcsprt
subroutine psb_zcsprtn(fname,a,iv,head,ivr,ivc)
use psb_mat_mod
character(len=*), intent(in) :: fname
type(psb_zspmat_type), intent(in) :: a
integer(psb_ipk_), intent(in), optional :: iv(:)
character(len=*), optional :: head
integer(psb_ipk_), intent(in), optional :: ivr(:),ivc(:)
call a%print(fname,iv,head,ivr,ivc)
end subroutine psb_zcsprtn
end module psb_serial_mod