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928 lines
34 KiB
Fortran
928 lines
34 KiB
Fortran
!!$
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!!$ Parallel Sparse BLAS version 3.0
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!!$ (C) Copyright 2006, 2007, 2008, 2009, 2010, 2012
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!!$ Salvatore Filippone University of Rome Tor Vergata
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!!$ Alfredo Buttari CNRS-IRIT, Toulouse
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!!$
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!!$ Redistribution and use in source and binary forms, with or without
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!!$ modification, are permitted provided that the following conditions
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!!$ are met:
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!!$ 1. Redistributions of source code must retain the above copyright
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!!$ notice, this list of conditions and the following disclaimer.
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!!$ 2. Redistributions in binary form must reproduce the above copyright
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!!$ notice, this list of conditions, and the following disclaimer in the
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!!$ documentation and/or other materials provided with the distribution.
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!!$ 3. The name of the PSBLAS group or the names of its contributors may
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!!$ not be used to endorse or promote products derived from this
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!!$ software without specific written permission.
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!!$
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!!$ THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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!!$ ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
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!!$ TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
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!!$ PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE PSBLAS GROUP OR ITS CONTRIBUTORS
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!!$ BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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!!$ CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
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!!$ SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
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!!$ INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
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!!$ CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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!!$ ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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!!$ POSSIBILITY OF SUCH DAMAGE.
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!!$
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!!$
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module psb_serial_mod
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use psb_const_mod
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use psb_error_mod
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use psb_realloc_mod
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use psb_string_mod
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use psb_sort_mod
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use psi_serial_mod, &
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& psb_gth => psi_gth,&
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& psb_sct => psi_sct
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interface psb_nrm1
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module procedure psb_snrm1, psb_dnrm1, psb_cnrm1, psb_znrm1
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end interface psb_nrm1
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interface psb_minreal
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module procedure psb_sminreal, psb_dminreal, psb_cminreal, psb_zminreal
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end interface psb_minreal
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interface psb_amax
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function psb_samax_s(n, x) result(val)
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import :: psb_ipk_, psb_spk_, psb_dpk_
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integer(psb_ipk_), intent(in) :: n
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real(psb_spk_), intent(in) :: x(:)
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real(psb_spk_) :: val
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end function psb_samax_s
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function psb_damax_s(n, x) result(val)
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import :: psb_ipk_, psb_spk_, psb_dpk_
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integer(psb_ipk_), intent(in) :: n
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real(psb_dpk_), intent(in) :: x(:)
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real(psb_dpk_) :: val
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end function psb_damax_s
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function psb_camax_s(n, x) result(val)
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import :: psb_ipk_, psb_spk_, psb_dpk_
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integer(psb_ipk_), intent(in) :: n
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complex(psb_spk_), intent(in) :: x(:)
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real(psb_spk_) :: val
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end function psb_camax_s
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function psb_zamax_s(n, x) result(val)
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import :: psb_ipk_, psb_spk_, psb_dpk_
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integer(psb_ipk_), intent(in) :: n
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complex(psb_dpk_), intent(in) :: x(:)
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real(psb_dpk_) :: val
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end function psb_zamax_s
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end interface psb_amax
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interface psb_asum
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function psb_sasum_s(n, x) result(val)
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import :: psb_ipk_, psb_spk_, psb_dpk_
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integer(psb_ipk_), intent(in) :: n
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real(psb_spk_), intent(in) :: x(:)
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real(psb_spk_) :: val
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end function psb_sasum_s
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function psb_dasum_s(n, x) result(val)
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import :: psb_ipk_, psb_spk_, psb_dpk_
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integer(psb_ipk_), intent(in) :: n
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real(psb_dpk_), intent(in) :: x(:)
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real(psb_dpk_) :: val
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end function psb_dasum_s
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function psb_casum_s(n, x) result(val)
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import :: psb_ipk_, psb_spk_, psb_dpk_
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integer(psb_ipk_), intent(in) :: n
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complex(psb_spk_), intent(in) :: x(:)
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real(psb_spk_) :: val
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end function psb_casum_s
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function psb_zasum_s(n, x) result(val)
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import :: psb_ipk_, psb_spk_, psb_dpk_
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integer(psb_ipk_), intent(in) :: n
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complex(psb_dpk_), intent(in) :: x(:)
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real(psb_dpk_) :: val
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end function psb_zasum_s
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end interface psb_asum
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interface psb_symbmm
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subroutine psb_ssymbmm(a,b,c,info)
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use psb_mat_mod, only : psb_sspmat_type
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import :: psb_ipk_
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implicit none
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type(psb_sspmat_type), intent(in) :: a,b
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type(psb_sspmat_type), intent(out) :: c
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integer(psb_ipk_), intent(out) :: info
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end subroutine psb_ssymbmm
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subroutine psb_sbase_symbmm(a,b,c,info)
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use psb_mat_mod, only : psb_s_base_sparse_mat, psb_s_csr_sparse_mat
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import :: psb_ipk_
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implicit none
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class(psb_s_base_sparse_mat), intent(in) :: a,b
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type(psb_s_csr_sparse_mat), intent(out) :: c
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integer(psb_ipk_), intent(out) :: info
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end subroutine psb_sbase_symbmm
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subroutine psb_dsymbmm(a,b,c,info)
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use psb_mat_mod, only : psb_dspmat_type
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import :: psb_ipk_
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implicit none
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type(psb_dspmat_type), intent(in) :: a,b
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type(psb_dspmat_type), intent(out) :: c
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integer(psb_ipk_), intent(out) :: info
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end subroutine psb_dsymbmm
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subroutine psb_dbase_symbmm(a,b,c,info)
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use psb_mat_mod, only : psb_d_base_sparse_mat, psb_d_csr_sparse_mat
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import :: psb_ipk_
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implicit none
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class(psb_d_base_sparse_mat), intent(in) :: a,b
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type(psb_d_csr_sparse_mat), intent(out) :: c
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integer(psb_ipk_), intent(out) :: info
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end subroutine psb_dbase_symbmm
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subroutine psb_csymbmm(a,b,c,info)
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use psb_mat_mod, only : psb_cspmat_type
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import :: psb_ipk_
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implicit none
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type(psb_cspmat_type), intent(in) :: a,b
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type(psb_cspmat_type), intent(out) :: c
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integer(psb_ipk_), intent(out) :: info
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end subroutine psb_csymbmm
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subroutine psb_cbase_symbmm(a,b,c,info)
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use psb_mat_mod, only : psb_c_base_sparse_mat, psb_c_csr_sparse_mat
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import :: psb_ipk_
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implicit none
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class(psb_c_base_sparse_mat), intent(in) :: a,b
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type(psb_c_csr_sparse_mat), intent(out) :: c
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integer(psb_ipk_), intent(out) :: info
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end subroutine psb_cbase_symbmm
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subroutine psb_zsymbmm(a,b,c,info)
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use psb_mat_mod, only : psb_zspmat_type
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import :: psb_ipk_
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implicit none
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type(psb_zspmat_type), intent(in) :: a,b
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type(psb_zspmat_type), intent(out) :: c
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integer(psb_ipk_), intent(out) :: info
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end subroutine psb_zsymbmm
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subroutine psb_zbase_symbmm(a,b,c,info)
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use psb_mat_mod, only : psb_z_base_sparse_mat, psb_z_csr_sparse_mat
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import :: psb_ipk_
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implicit none
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class(psb_z_base_sparse_mat), intent(in) :: a,b
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type(psb_z_csr_sparse_mat), intent(out) :: c
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integer(psb_ipk_), intent(out) :: info
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end subroutine psb_zbase_symbmm
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end interface psb_symbmm
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interface psb_numbmm
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subroutine psb_snumbmm(a,b,c)
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use psb_mat_mod, only : psb_sspmat_type
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import :: psb_ipk_
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implicit none
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type(psb_sspmat_type), intent(in) :: a,b
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type(psb_sspmat_type), intent(inout) :: c
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end subroutine psb_snumbmm
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subroutine psb_sbase_numbmm(a,b,c)
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use psb_mat_mod, only : psb_s_base_sparse_mat, psb_s_csr_sparse_mat
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import :: psb_ipk_
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implicit none
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class(psb_s_base_sparse_mat), intent(in) :: a,b
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type(psb_s_csr_sparse_mat), intent(inout) :: c
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end subroutine psb_sbase_numbmm
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subroutine psb_dnumbmm(a,b,c)
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use psb_mat_mod, only : psb_dspmat_type
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import :: psb_ipk_
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implicit none
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type(psb_dspmat_type), intent(in) :: a,b
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type(psb_dspmat_type), intent(inout) :: c
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end subroutine psb_dnumbmm
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subroutine psb_dbase_numbmm(a,b,c)
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use psb_mat_mod, only : psb_d_base_sparse_mat, psb_d_csr_sparse_mat
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import :: psb_ipk_
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implicit none
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class(psb_d_base_sparse_mat), intent(in) :: a,b
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type(psb_d_csr_sparse_mat), intent(inout) :: c
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end subroutine psb_dbase_numbmm
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subroutine psb_cnumbmm(a,b,c)
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use psb_mat_mod, only : psb_cspmat_type
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import :: psb_ipk_
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implicit none
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type(psb_cspmat_type), intent(in) :: a,b
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type(psb_cspmat_type), intent(inout) :: c
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end subroutine psb_cnumbmm
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subroutine psb_cbase_numbmm(a,b,c)
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use psb_mat_mod, only : psb_c_base_sparse_mat, psb_c_csr_sparse_mat
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import :: psb_ipk_
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implicit none
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class(psb_c_base_sparse_mat), intent(in) :: a,b
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type(psb_c_csr_sparse_mat), intent(inout) :: c
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end subroutine psb_cbase_numbmm
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subroutine psb_znumbmm(a,b,c)
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use psb_mat_mod, only : psb_zspmat_type
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import :: psb_ipk_
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implicit none
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type(psb_zspmat_type), intent(in) :: a,b
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type(psb_zspmat_type), intent(inout) :: c
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end subroutine psb_znumbmm
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subroutine psb_zbase_numbmm(a,b,c)
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use psb_mat_mod, only : psb_z_base_sparse_mat, psb_z_csr_sparse_mat
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import :: psb_ipk_
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implicit none
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class(psb_z_base_sparse_mat), intent(in) :: a,b
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type(psb_z_csr_sparse_mat), intent(inout) :: c
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end subroutine psb_zbase_numbmm
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end interface psb_numbmm
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interface psb_rwextd
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subroutine psb_srwextd(nr,a,info,b,rowscale)
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use psb_mat_mod, only : psb_sspmat_type
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import :: psb_ipk_
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implicit none
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integer(psb_ipk_), intent(in) :: nr
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type(psb_sspmat_type), intent(inout) :: a
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integer(psb_ipk_),intent(out) :: info
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type(psb_sspmat_type), intent(in), optional :: b
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logical,intent(in), optional :: rowscale
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end subroutine psb_srwextd
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subroutine psb_sbase_rwextd(nr,a,info,b,rowscale)
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use psb_mat_mod, only : psb_s_base_sparse_mat
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import :: psb_ipk_
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implicit none
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integer(psb_ipk_), intent(in) :: nr
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class(psb_s_base_sparse_mat), intent(inout) :: a
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integer(psb_ipk_),intent(out) :: info
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class(psb_s_base_sparse_mat), intent(in), optional :: b
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logical,intent(in), optional :: rowscale
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end subroutine psb_sbase_rwextd
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subroutine psb_drwextd(nr,a,info,b,rowscale)
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use psb_mat_mod, only : psb_dspmat_type
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import :: psb_ipk_
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implicit none
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integer(psb_ipk_), intent(in) :: nr
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type(psb_dspmat_type), intent(inout) :: a
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integer(psb_ipk_),intent(out) :: info
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type(psb_dspmat_type), intent(in), optional :: b
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logical,intent(in), optional :: rowscale
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end subroutine psb_drwextd
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subroutine psb_dbase_rwextd(nr,a,info,b,rowscale)
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use psb_mat_mod, only : psb_d_base_sparse_mat
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import :: psb_ipk_
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implicit none
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integer(psb_ipk_), intent(in) :: nr
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class(psb_d_base_sparse_mat), intent(inout) :: a
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integer(psb_ipk_),intent(out) :: info
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class(psb_d_base_sparse_mat), intent(in), optional :: b
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logical,intent(in), optional :: rowscale
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end subroutine psb_dbase_rwextd
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subroutine psb_crwextd(nr,a,info,b,rowscale)
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use psb_mat_mod, only : psb_cspmat_type
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import :: psb_ipk_
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implicit none
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integer(psb_ipk_), intent(in) :: nr
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type(psb_cspmat_type), intent(inout) :: a
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integer(psb_ipk_),intent(out) :: info
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type(psb_cspmat_type), intent(in), optional :: b
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logical,intent(in), optional :: rowscale
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end subroutine psb_crwextd
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subroutine psb_cbase_rwextd(nr,a,info,b,rowscale)
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use psb_mat_mod, only : psb_c_base_sparse_mat
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import :: psb_ipk_
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implicit none
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integer(psb_ipk_), intent(in) :: nr
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class(psb_c_base_sparse_mat), intent(inout) :: a
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integer(psb_ipk_),intent(out) :: info
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class(psb_c_base_sparse_mat), intent(in), optional :: b
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logical,intent(in), optional :: rowscale
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end subroutine psb_cbase_rwextd
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subroutine psb_zrwextd(nr,a,info,b,rowscale)
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use psb_mat_mod, only : psb_zspmat_type
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import :: psb_ipk_
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implicit none
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integer(psb_ipk_), intent(in) :: nr
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type(psb_zspmat_type), intent(inout) :: a
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integer(psb_ipk_),intent(out) :: info
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type(psb_zspmat_type), intent(in), optional :: b
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logical,intent(in), optional :: rowscale
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end subroutine psb_zrwextd
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subroutine psb_zbase_rwextd(nr,a,info,b,rowscale)
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use psb_mat_mod, only : psb_z_base_sparse_mat
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import :: psb_ipk_
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implicit none
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integer(psb_ipk_), intent(in) :: nr
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class(psb_z_base_sparse_mat), intent(inout) :: a
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integer(psb_ipk_),intent(out) :: info
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class(psb_z_base_sparse_mat), intent(in), optional :: b
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logical,intent(in), optional :: rowscale
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end subroutine psb_zbase_rwextd
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end interface psb_rwextd
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interface psb_geprt
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subroutine psb_sgeprtn2(fname,a,head)
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use psb_const_mod, only : psb_spk_, psb_ipk_
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character(len=*), intent(in) :: fname
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real(psb_spk_), intent(in) :: a(:,:)
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character(len=*), optional :: head
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end subroutine psb_sgeprtn2
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subroutine psb_sgeprtn1(fname,a,head)
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use psb_const_mod, only : psb_spk_, psb_ipk_
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character(len=*), intent(in) :: fname
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real(psb_spk_), intent(in) :: a(:)
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character(len=*), optional :: head
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end subroutine psb_sgeprtn1
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subroutine psb_sgeprt2(iout,a,head)
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use psb_const_mod, only : psb_spk_, psb_ipk_
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integer(psb_ipk_), intent(in) :: iout
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real(psb_spk_), intent(in) :: a(:,:)
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character(len=*), optional :: head
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end subroutine psb_sgeprt2
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subroutine psb_sgeprt1(iout,a,head)
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use psb_const_mod, only : psb_spk_, psb_ipk_
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integer(psb_ipk_), intent(in) :: iout
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real(psb_spk_), intent(in) :: a(:)
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character(len=*), optional :: head
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end subroutine psb_sgeprt1
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subroutine psb_dgeprtn2(fname,a,head)
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use psb_const_mod, only : psb_dpk_, psb_ipk_
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character(len=*), intent(in) :: fname
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real(psb_dpk_), intent(in) :: a(:,:)
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character(len=*), optional :: head
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end subroutine psb_dgeprtn2
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subroutine psb_dgeprtn1(fname,a,head)
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use psb_const_mod, only : psb_dpk_, psb_ipk_
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character(len=*), intent(in) :: fname
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real(psb_dpk_), intent(in) :: a(:)
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character(len=*), optional :: head
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end subroutine psb_dgeprtn1
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subroutine psb_dgeprt2(iout,a,head)
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use psb_const_mod, only : psb_dpk_, psb_ipk_
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integer(psb_ipk_), intent(in) :: iout
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real(psb_dpk_), intent(in) :: a(:,:)
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character(len=*), optional :: head
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end subroutine psb_dgeprt2
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subroutine psb_dgeprt1(iout,a,head)
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use psb_const_mod, only : psb_dpk_, psb_ipk_
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integer(psb_ipk_), intent(in) :: iout
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real(psb_dpk_), intent(in) :: a(:)
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character(len=*), optional :: head
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end subroutine psb_dgeprt1
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subroutine psb_cgeprtn2(fname,a,head)
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use psb_const_mod, only : psb_spk_, psb_ipk_
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character(len=*), intent(in) :: fname
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complex(psb_spk_), intent(in) :: a(:,:)
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character(len=*), optional :: head
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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
|
|
|