psblas3/base/modules/serial/psb_s_csr_mat_mod.f90

!   
!                Parallel Sparse BLAS  version 3.5
!      (C) Copyright 2006-2018
!        Salvatore Filippone    
!        Alfredo Buttari      
!   
!    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
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!    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.
!   
!    
!
! package: psb_s_csr_mat_mod
!
! This module contains the definition of the psb_s_csr_sparse_mat type
! which implements an actual storage format (the CSR in this case) for
! a sparse matrix as well as the related methods (those who are
! specific to the type and could not be defined higher in the
! hierarchy). We are at the bottom level of the inheritance chain.
!
! Please refere to psb_s_base_mat_mod for a detailed description
! of the various methods, and to psb_s_csr_impl for implementation details.
!
module psb_s_csr_mat_mod

  use psb_s_base_mat_mod

  !> \namespace  psb_base_mod  \class  psb_s_csr_sparse_mat
  !! \extends psb_s_base_mat_mod::psb_s_base_sparse_mat
  !! 
  !! psb_s_csr_sparse_mat type and the related methods.
  !! This is a very common storage type, and is the default for assembled
  !! matrices in our library
  type, extends(psb_s_base_sparse_mat) :: psb_s_csr_sparse_mat

    !> Pointers to beginning of rows in JA and VAL. 
    integer(psb_ipk_), allocatable :: irp(:)
    !> Column indices.
    integer(psb_ipk_), allocatable :: ja(:)
    !> Coefficient values. 
    real(psb_spk_), allocatable :: val(:)

  contains
    procedure, pass(a) :: is_by_rows  => s_csr_is_by_rows
    procedure, pass(a) :: get_size    => s_csr_get_size
    procedure, pass(a) :: get_nzeros  => s_csr_get_nzeros
    procedure, nopass  :: get_fmt     => s_csr_get_fmt
    procedure, pass(a) :: sizeof      => s_csr_sizeof
    procedure, pass(a) :: csmm        => psb_s_csr_csmm
    procedure, pass(a) :: csmv        => psb_s_csr_csmv
    procedure, pass(a) :: inner_cssm  => psb_s_csr_cssm
    procedure, pass(a) :: inner_cssv  => psb_s_csr_cssv
    procedure, pass(a) :: scals       => psb_s_csr_scals
    procedure, pass(a) :: scalv       => psb_s_csr_scal
    procedure, pass(a) :: maxval      => psb_s_csr_maxval
    procedure, pass(a) :: spnmi       => psb_s_csr_csnmi
    procedure, pass(a) :: rowsum      => psb_s_csr_rowsum
    procedure, pass(a) :: arwsum      => psb_s_csr_arwsum
    procedure, pass(a) :: colsum      => psb_s_csr_colsum
    procedure, pass(a) :: aclsum      => psb_s_csr_aclsum
    procedure, pass(a) :: reallocate_nz => psb_s_csr_reallocate_nz
    procedure, pass(a) :: allocate_mnnz => psb_s_csr_allocate_mnnz
    procedure, pass(a) :: tril          => psb_s_csr_tril
    procedure, pass(a) :: triu          => psb_s_csr_triu
    procedure, pass(a) :: cp_to_coo   => psb_s_cp_csr_to_coo
    procedure, pass(a) :: cp_from_coo => psb_s_cp_csr_from_coo
    procedure, pass(a) :: cp_to_fmt   => psb_s_cp_csr_to_fmt
    procedure, pass(a) :: cp_from_fmt => psb_s_cp_csr_from_fmt
    procedure, pass(a) :: mv_to_coo   => psb_s_mv_csr_to_coo
    procedure, pass(a) :: mv_from_coo => psb_s_mv_csr_from_coo
    procedure, pass(a) :: mv_to_fmt   => psb_s_mv_csr_to_fmt
    procedure, pass(a) :: mv_from_fmt => psb_s_mv_csr_from_fmt
    procedure, pass(a) :: csput_a     => psb_s_csr_csput_a
    procedure, pass(a) :: get_diag    => psb_s_csr_get_diag
    procedure, pass(a) :: csgetptn    => psb_s_csr_csgetptn
    procedure, pass(a) :: csgetrow   => psb_s_csr_csgetrow
    procedure, pass(a) :: get_nz_row  => s_csr_get_nz_row
    procedure, pass(a) :: reinit      => psb_s_csr_reinit
    procedure, pass(a) :: trim        => psb_s_csr_trim
    procedure, pass(a) :: print       => psb_s_csr_print
    procedure, pass(a) :: free        => s_csr_free
    procedure, pass(a) :: mold        => psb_s_csr_mold

  end type psb_s_csr_sparse_mat

  private :: s_csr_get_nzeros, s_csr_free,  s_csr_get_fmt, &
       & s_csr_get_size, s_csr_sizeof, s_csr_get_nz_row, &
       & s_csr_is_by_rows

  !> \memberof psb_s_csr_sparse_mat
  !| \see psb_base_mat_mod::psb_base_reallocate_nz
  interface
    subroutine  psb_s_csr_reallocate_nz(nz,a) 
      import :: psb_ipk_, psb_s_csr_sparse_mat
      integer(psb_ipk_), intent(in) :: nz
      class(psb_s_csr_sparse_mat), intent(inout) :: a
    end subroutine psb_s_csr_reallocate_nz
  end interface
  
  !> \memberof psb_s_csr_sparse_mat
  !| \see psb_base_mat_mod::psb_base_reinit
  interface 
    subroutine psb_s_csr_reinit(a,clear)
      import :: psb_ipk_, psb_s_csr_sparse_mat
      class(psb_s_csr_sparse_mat), intent(inout) :: a   
      logical, intent(in), optional :: clear
    end subroutine psb_s_csr_reinit
  end interface
  
  !> \memberof psb_s_csr_sparse_mat
  !| \see psb_base_mat_mod::psb_base_trim
  interface
    subroutine  psb_s_csr_trim(a)
      import :: psb_ipk_, psb_s_csr_sparse_mat
      class(psb_s_csr_sparse_mat), intent(inout) :: a
    end subroutine psb_s_csr_trim
  end interface

  
  !> \memberof psb_s_csr_sparse_mat
  !| \see psb_base_mat_mod::psb_base_mold
  interface 
    subroutine psb_s_csr_mold(a,b,info) 
      import :: psb_ipk_, psb_s_csr_sparse_mat, psb_s_base_sparse_mat, psb_long_int_k_
      class(psb_s_csr_sparse_mat), intent(in)                  :: a
      class(psb_s_base_sparse_mat), intent(inout), allocatable :: b
      integer(psb_ipk_), intent(out)                           :: info
    end subroutine psb_s_csr_mold
  end interface
  
  !> \memberof psb_s_csr_sparse_mat
  !| \see psb_base_mat_mod::psb_base_allocate_mnnz
  interface
    subroutine  psb_s_csr_allocate_mnnz(m,n,a,nz) 
      import :: psb_ipk_, psb_s_csr_sparse_mat
      integer(psb_ipk_), intent(in) :: m,n
      class(psb_s_csr_sparse_mat), intent(inout) :: a
      integer(psb_ipk_), intent(in), optional :: nz
    end subroutine psb_s_csr_allocate_mnnz
  end interface

  
  !> \memberof psb_s_csr_sparse_mat
  !! \see psb_s_base_mat_mod::psb_s_base_print
  interface
    subroutine psb_s_csr_print(iout,a,iv,head,ivr,ivc)
      import :: psb_ipk_, psb_s_csr_sparse_mat
      integer(psb_ipk_), intent(in)               :: iout
      class(psb_s_csr_sparse_mat), intent(in) :: a   
      integer(psb_ipk_), intent(in), optional     :: iv(:)
      character(len=*), optional        :: head
      integer(psb_ipk_), intent(in), optional     :: ivr(:), ivc(:)
    end subroutine psb_s_csr_print
  end interface
  !
  !> Function  tril:
  !! \memberof  psb_s_base_sparse_mat
  !! \brief  Copy the lower triangle, i.e. all entries
  !!         A(I,J) such that J-I <= DIAG
  !!         default value is DIAG=0, i.e. lower triangle up to
  !!         the main diagonal.
  !!         DIAG=-1 means copy the strictly lower triangle
  !!         DIAG= 1 means copy the lower triangle plus the first diagonal
  !!                 of the upper triangle.
  !!         Moreover, apply a clipping by copying entries A(I,J) only if
  !!         IMIN<=I<=IMAX
  !!         JMIN<=J<=JMAX
  !!         
  !!  \param l     the output (sub)matrix
  !!  \param info  return code
  !!  \param diag [0] the last diagonal (J-I) to be considered.
  !!  \param imin [1] the minimum row index we are interested in 
  !!  \param imax [a\%get_nrows()] the minimum row index we are interested in 
  !!  \param jmin [1] minimum col index 
  !!  \param jmax [a\%get_ncols()] maximum col index 
  !!  \param iren(:) [none] an array to return renumbered indices (iren(ia(:)),iren(ja(:))
  !!  \param rscale [false] map [min(ia(:)):max(ia(:))] onto [1:max(ia(:))-min(ia(:))+1]
  !!  \param cscale [false] map [min(ja(:)):max(ja(:))] onto [1:max(ja(:))-min(ja(:))+1]
  !!          ( iren cannot be specified with rscale/cscale)
  !!  \param append [false] append to ia,ja 
  !!  \param nzin [none]  if append, then first new entry should go in entry nzin+1
  !!  \param u  [none]  copy of the complementary triangle
  !!           
  !
  interface 
    subroutine psb_s_csr_tril(a,l,info,diag,imin,imax,&
         & jmin,jmax,rscale,cscale,u)
      import :: psb_ipk_, psb_s_csr_sparse_mat, psb_s_coo_sparse_mat, psb_spk_
      class(psb_s_csr_sparse_mat), intent(in) :: a
      class(psb_s_coo_sparse_mat), intent(out) :: l
      integer(psb_ipk_),intent(out)              :: info
      integer(psb_ipk_), intent(in), optional    :: diag,imin,imax,jmin,jmax
      logical, intent(in), optional              :: rscale,cscale
      class(psb_s_coo_sparse_mat), optional, intent(out) :: u
    end subroutine psb_s_csr_tril
  end interface
  
  !
  !> Function  triu:
  !! \memberof  psb_s_csr_sparse_mat
  !! \brief  Copy the upper triangle, i.e. all entries
  !!         A(I,J) such that DIAG <= J-I
  !!         default value is DIAG=0, i.e. upper triangle from 
  !!         the main diagonal up.
  !!         DIAG= 1 means copy the strictly upper triangle
  !!         DIAG=-1 means copy the upper triangle plus the first diagonal
  !!                 of the lower triangle.
  !!         Moreover, apply a clipping by copying entries A(I,J) only if
  !!         IMIN<=I<=IMAX
  !!         JMIN<=J<=JMAX
  !!         Optionally copies the lower triangle at the same time
  !!         
  !!  \param u     the output (sub)matrix
  !!  \param info  return code
  !!  \param diag [0] the last diagonal (J-I) to be considered.
  !!  \param imin [1] the minimum row index we are interested in 
  !!  \param imax [a\%get_nrows()] the minimum row index we are interested in 
  !!  \param jmin [1] minimum col index 
  !!  \param jmax [a\%get_ncols()] maximum col index 
  !!  \param iren(:) [none] an array to return renumbered indices (iren(ia(:)),iren(ja(:))
  !!  \param rscale [false] map [min(ia(:)):max(ia(:))] onto [1:max(ia(:))-min(ia(:))+1]
  !!  \param cscale [false] map [min(ja(:)):max(ja(:))] onto [1:max(ja(:))-min(ja(:))+1]
  !!          ( iren cannot be specified with rscale/cscale)
  !!  \param append [false] append to ia,ja 
  !!  \param nzin [none]  if append, then first new entry should go in entry nzin+1
  !!  \param l  [none]  copy of the complementary triangle
  !!           
  !
  interface 
    subroutine psb_s_csr_triu(a,u,info,diag,imin,imax,&
         & jmin,jmax,rscale,cscale,l)
      import :: psb_ipk_, psb_s_csr_sparse_mat, psb_s_coo_sparse_mat, psb_spk_
      class(psb_s_csr_sparse_mat), intent(in) :: a
      class(psb_s_coo_sparse_mat), intent(out) :: u
      integer(psb_ipk_),intent(out)              :: info
      integer(psb_ipk_), intent(in), optional    :: diag,imin,imax,jmin,jmax
      logical, intent(in), optional              :: rscale,cscale
      class(psb_s_coo_sparse_mat), optional, intent(out) :: l
    end subroutine psb_s_csr_triu
  end interface
  
  
  !> \memberof psb_s_csr_sparse_mat
  !! \see psb_s_base_mat_mod::psb_s_base_cp_to_coo
  interface 
    subroutine psb_s_cp_csr_to_coo(a,b,info) 
      import :: psb_ipk_, psb_s_coo_sparse_mat, psb_s_csr_sparse_mat
      class(psb_s_csr_sparse_mat), intent(in) :: a
      class(psb_s_coo_sparse_mat), intent(inout) :: b
      integer(psb_ipk_), intent(out)            :: info
    end subroutine psb_s_cp_csr_to_coo
  end interface
  
  !> \memberof psb_s_csr_sparse_mat
  !! \see psb_s_base_mat_mod::psb_s_base_cp_from_coo
  interface 
    subroutine psb_s_cp_csr_from_coo(a,b,info) 
      import :: psb_ipk_, psb_s_csr_sparse_mat, psb_s_coo_sparse_mat
      class(psb_s_csr_sparse_mat), intent(inout) :: a
      class(psb_s_coo_sparse_mat), intent(in)    :: b
      integer(psb_ipk_), intent(out)               :: info
    end subroutine psb_s_cp_csr_from_coo
  end interface
  
  !> \memberof psb_s_csr_sparse_mat
  !! \see psb_s_base_mat_mod::psb_s_base_cp_to_fmt
  interface 
    subroutine psb_s_cp_csr_to_fmt(a,b,info) 
      import :: psb_ipk_, psb_s_csr_sparse_mat, psb_s_base_sparse_mat
      class(psb_s_csr_sparse_mat), intent(in)   :: a
      class(psb_s_base_sparse_mat), intent(inout) :: b
      integer(psb_ipk_), intent(out)                       :: info
    end subroutine psb_s_cp_csr_to_fmt
  end interface
  
  !> \memberof psb_s_csr_sparse_mat
  !! \see psb_s_base_mat_mod::psb_s_base_cp_from_fmt
  interface 
    subroutine psb_s_cp_csr_from_fmt(a,b,info) 
      import :: psb_ipk_, psb_s_csr_sparse_mat, psb_s_base_sparse_mat
      class(psb_s_csr_sparse_mat), intent(inout) :: a
      class(psb_s_base_sparse_mat), intent(in)   :: b
      integer(psb_ipk_), intent(out)                        :: info
    end subroutine psb_s_cp_csr_from_fmt
  end interface
  
  !> \memberof psb_s_csr_sparse_mat
  !! \see psb_s_base_mat_mod::psb_s_base_mv_to_coo
  interface 
    subroutine psb_s_mv_csr_to_coo(a,b,info) 
      import :: psb_ipk_, psb_s_csr_sparse_mat, psb_s_coo_sparse_mat
      class(psb_s_csr_sparse_mat), intent(inout) :: a
      class(psb_s_coo_sparse_mat), intent(inout)   :: b
      integer(psb_ipk_), intent(out)            :: info
    end subroutine psb_s_mv_csr_to_coo
  end interface
  
  !> \memberof psb_s_csr_sparse_mat
  !! \see psb_s_base_mat_mod::psb_s_base_mv_from_coo
  interface 
    subroutine psb_s_mv_csr_from_coo(a,b,info) 
      import :: psb_ipk_, psb_s_csr_sparse_mat, psb_s_coo_sparse_mat
      class(psb_s_csr_sparse_mat), intent(inout) :: a
      class(psb_s_coo_sparse_mat), intent(inout) :: b
      integer(psb_ipk_), intent(out)                        :: info
    end subroutine psb_s_mv_csr_from_coo
  end interface
  
  !> \memberof psb_s_csr_sparse_mat
  !! \see psb_s_base_mat_mod::psb_s_base_mv_to_fmt
  interface 
    subroutine psb_s_mv_csr_to_fmt(a,b,info) 
      import :: psb_ipk_, psb_s_csr_sparse_mat, psb_s_base_sparse_mat
      class(psb_s_csr_sparse_mat), intent(inout) :: a
      class(psb_s_base_sparse_mat), intent(inout)  :: b
      integer(psb_ipk_), intent(out)                        :: info
    end subroutine psb_s_mv_csr_to_fmt
  end interface
  
  !> \memberof psb_s_csr_sparse_mat
  !! \see psb_s_base_mat_mod::psb_s_base_mv_from_fmt
  interface 
    subroutine psb_s_mv_csr_from_fmt(a,b,info) 
      import :: psb_ipk_, psb_s_csr_sparse_mat, psb_s_base_sparse_mat
      class(psb_s_csr_sparse_mat), intent(inout)  :: a
      class(psb_s_base_sparse_mat), intent(inout) :: b
      integer(psb_ipk_), intent(out)                         :: info
    end subroutine psb_s_mv_csr_from_fmt
  end interface
  
  !> \memberof psb_s_csr_sparse_mat
  !! \see psb_s_base_mat_mod::psb_s_base_cp_from
  interface 
    subroutine psb_s_csr_cp_from(a,b)
      import :: psb_ipk_, psb_s_csr_sparse_mat, psb_spk_
      class(psb_s_csr_sparse_mat), intent(inout) :: a
      type(psb_s_csr_sparse_mat), intent(in)   :: b
    end subroutine psb_s_csr_cp_from
  end interface
  
  !> \memberof psb_s_csr_sparse_mat
  !! \see psb_s_base_mat_mod::psb_s_base_mv_from
  interface 
    subroutine psb_s_csr_mv_from(a,b)
      import :: psb_ipk_, psb_s_csr_sparse_mat, psb_spk_
      class(psb_s_csr_sparse_mat), intent(inout)  :: a
      type(psb_s_csr_sparse_mat), intent(inout) :: b
    end subroutine psb_s_csr_mv_from
  end interface
  
  
  !> \memberof psb_s_csr_sparse_mat
  !! \see psb_s_base_mat_mod::psb_s_base_csput_a
  interface 
    subroutine psb_s_csr_csput_a(nz,ia,ja,val,a,imin,imax,jmin,jmax,info,gtl) 
      import :: psb_ipk_, psb_s_csr_sparse_mat, psb_spk_
      class(psb_s_csr_sparse_mat), intent(inout) :: a
      real(psb_spk_), intent(in)      :: val(:)
      integer(psb_ipk_), intent(in)             :: nz,ia(:), ja(:),&
           &  imin,imax,jmin,jmax
      integer(psb_ipk_), intent(out)            :: info
      integer(psb_ipk_), intent(in), optional   :: gtl(:)
    end subroutine psb_s_csr_csput_a
  end interface
  
  !> \memberof psb_s_csr_sparse_mat
  !! \see psb_base_mat_mod::psb_base_csgetptn
  interface 
    subroutine psb_s_csr_csgetptn(imin,imax,a,nz,ia,ja,info,&
         & jmin,jmax,iren,append,nzin,rscale,cscale)
      import :: psb_ipk_, psb_s_csr_sparse_mat, psb_spk_
      class(psb_s_csr_sparse_mat), intent(in) :: a
      integer(psb_ipk_), intent(in)                  :: imin,imax
      integer(psb_ipk_), intent(out)                 :: nz
      integer(psb_ipk_), allocatable, intent(inout)  :: ia(:), ja(:)
      integer(psb_ipk_),intent(out)                  :: info
      logical, intent(in), optional        :: append
      integer(psb_ipk_), intent(in), optional        :: iren(:)
      integer(psb_ipk_), intent(in), optional        :: jmin,jmax, nzin
      logical, intent(in), optional        :: rscale,cscale
    end subroutine psb_s_csr_csgetptn
  end interface
  
  !> \memberof psb_s_csr_sparse_mat
  !! \see psb_s_base_mat_mod::psb_s_base_csgetrow
  interface 
    subroutine psb_s_csr_csgetrow(imin,imax,a,nz,ia,ja,val,info,&
         & jmin,jmax,iren,append,nzin,rscale,cscale,chksz)
      import :: psb_ipk_, psb_s_csr_sparse_mat, psb_spk_
      class(psb_s_csr_sparse_mat), intent(in) :: a
      integer(psb_ipk_), intent(in)                  :: imin,imax
      integer(psb_ipk_), intent(out)                 :: nz
      integer(psb_ipk_), allocatable, intent(inout)  :: ia(:), ja(:)
      real(psb_spk_), allocatable,  intent(inout)    :: val(:)
      integer(psb_ipk_),intent(out)                  :: info
      logical, intent(in), optional        :: append
      integer(psb_ipk_), intent(in), optional        :: iren(:)
      integer(psb_ipk_), intent(in), optional        :: jmin,jmax, nzin
      logical, intent(in), optional        :: rscale,cscale,chksz
    end subroutine psb_s_csr_csgetrow
  end interface
!!$
!!$  !> \memberof psb_s_csr_sparse_mat
!!$  !! \see psb_s_base_mat_mod::psb_s_base_csgetblk
!!$  interface 
!!$    subroutine psb_s_csr_csgetblk(imin,imax,a,b,info,&
!!$       & jmin,jmax,iren,append,rscale,cscale)
!!$      import :: psb_ipk_, psb_s_csr_sparse_mat, psb_spk_, psb_s_coo_sparse_mat
!!$      class(psb_s_csr_sparse_mat), intent(in) :: a
!!$      class(psb_s_coo_sparse_mat), intent(inout) :: b
!!$      integer(psb_ipk_), intent(in)                  :: imin,imax
!!$      integer(psb_ipk_),intent(out)                  :: info
!!$      logical, intent(in), optional        :: append
!!$      integer(psb_ipk_), intent(in), optional        :: iren(:)
!!$      integer(psb_ipk_), intent(in), optional        :: jmin,jmax
!!$      logical, intent(in), optional        :: rscale,cscale
!!$    end subroutine psb_s_csr_csgetblk
!!$  end interface
    
  !> \memberof psb_s_csr_sparse_mat
  !! \see psb_s_base_mat_mod::psb_s_base_cssv
  interface 
    subroutine psb_s_csr_cssv(alpha,a,x,beta,y,info,trans) 
      import :: psb_ipk_, psb_s_csr_sparse_mat, psb_spk_
      class(psb_s_csr_sparse_mat), intent(in) :: a
      real(psb_spk_), intent(in)          :: alpha, beta, x(:)
      real(psb_spk_), intent(inout)       :: y(:)
      integer(psb_ipk_), intent(out)                :: info
      character, optional, intent(in)     :: trans
    end subroutine psb_s_csr_cssv
  end interface
  !> \memberof psb_s_csr_sparse_mat
  !! \see psb_s_base_mat_mod::psb_s_base_cssm
  interface 
    subroutine psb_s_csr_cssm(alpha,a,x,beta,y,info,trans) 
      import :: psb_ipk_, psb_s_csr_sparse_mat, psb_spk_
      class(psb_s_csr_sparse_mat), intent(in) :: a
      real(psb_spk_), intent(in)          :: alpha, beta, x(:,:)
      real(psb_spk_), intent(inout)       :: y(:,:)
      integer(psb_ipk_), intent(out)                :: info
      character, optional, intent(in)     :: trans
    end subroutine psb_s_csr_cssm
  end interface
  
  !> \memberof psb_s_csr_sparse_mat
  !! \see psb_s_base_mat_mod::psb_s_base_csmv
  interface 
    subroutine psb_s_csr_csmv(alpha,a,x,beta,y,info,trans) 
      import :: psb_ipk_, psb_s_csr_sparse_mat, psb_spk_
      class(psb_s_csr_sparse_mat), intent(in) :: a
      real(psb_spk_), intent(in)          :: alpha, beta, x(:)
      real(psb_spk_), intent(inout)       :: y(:)
      integer(psb_ipk_), intent(out)                :: info
      character, optional, intent(in)     :: trans
    end subroutine psb_s_csr_csmv
  end interface

  !> \memberof psb_s_csr_sparse_mat
  !! \see psb_s_base_mat_mod::psb_s_base_csmm
  interface 
    subroutine psb_s_csr_csmm(alpha,a,x,beta,y,info,trans) 
      import :: psb_ipk_, psb_s_csr_sparse_mat, psb_spk_
      class(psb_s_csr_sparse_mat), intent(in) :: a
      real(psb_spk_), intent(in)          :: alpha, beta, x(:,:)
      real(psb_spk_), intent(inout)       :: y(:,:)
      integer(psb_ipk_), intent(out)                :: info
      character, optional, intent(in)     :: trans
    end subroutine psb_s_csr_csmm
  end interface
  
  
  !> \memberof psb_s_csr_sparse_mat
  !! \see psb_s_base_mat_mod::psb_s_base_maxval
  interface 
    function psb_s_csr_maxval(a) result(res)
      import :: psb_ipk_, psb_s_csr_sparse_mat, psb_spk_
      class(psb_s_csr_sparse_mat), intent(in) :: a
      real(psb_spk_)         :: res
    end function psb_s_csr_maxval
  end interface
  
  !> \memberof psb_s_csr_sparse_mat
  !! \see psb_s_base_mat_mod::psb_s_base_csnmi
  interface 
    function psb_s_csr_csnmi(a) result(res)
      import :: psb_ipk_, psb_s_csr_sparse_mat, psb_spk_
      class(psb_s_csr_sparse_mat), intent(in) :: a
      real(psb_spk_)         :: res
    end function psb_s_csr_csnmi
  end interface
  
  !> \memberof psb_s_csr_sparse_mat
  !! \see psb_s_base_mat_mod::psb_s_base_rowsum
  interface 
    subroutine psb_s_csr_rowsum(d,a) 
      import :: psb_ipk_, psb_s_csr_sparse_mat, psb_spk_
      class(psb_s_csr_sparse_mat), intent(in) :: a
      real(psb_spk_), intent(out)              :: d(:)
    end subroutine psb_s_csr_rowsum
  end interface

  !> \memberof psb_s_csr_sparse_mat
  !! \see psb_s_base_mat_mod::psb_s_base_arwsum
  interface 
    subroutine psb_s_csr_arwsum(d,a) 
      import :: psb_ipk_, psb_s_csr_sparse_mat, psb_spk_
      class(psb_s_csr_sparse_mat), intent(in) :: a
      real(psb_spk_), intent(out)              :: d(:)
    end subroutine psb_s_csr_arwsum
  end interface
  
  !> \memberof psb_s_csr_sparse_mat
  !! \see psb_s_base_mat_mod::psb_s_base_colsum
  interface 
    subroutine psb_s_csr_colsum(d,a) 
      import :: psb_ipk_, psb_s_csr_sparse_mat, psb_spk_
      class(psb_s_csr_sparse_mat), intent(in) :: a
      real(psb_spk_), intent(out)              :: d(:)
    end subroutine psb_s_csr_colsum
  end interface

  !> \memberof psb_s_csr_sparse_mat
  !! \see psb_s_base_mat_mod::psb_s_base_aclsum
  interface 
    subroutine psb_s_csr_aclsum(d,a) 
      import :: psb_ipk_, psb_s_csr_sparse_mat, psb_spk_
      class(psb_s_csr_sparse_mat), intent(in) :: a
      real(psb_spk_), intent(out)              :: d(:)
    end subroutine psb_s_csr_aclsum
  end interface
    
  !> \memberof psb_s_csr_sparse_mat
  !! \see psb_s_base_mat_mod::psb_s_base_get_diag
  interface 
    subroutine psb_s_csr_get_diag(a,d,info) 
      import :: psb_ipk_, psb_s_csr_sparse_mat, psb_spk_
      class(psb_s_csr_sparse_mat), intent(in) :: a
      real(psb_spk_), intent(out)     :: d(:)
      integer(psb_ipk_), intent(out)            :: info
    end subroutine psb_s_csr_get_diag
  end interface
  
  !> \memberof psb_s_csr_sparse_mat
  !! \see psb_s_base_mat_mod::psb_s_base_scal
  interface 
    subroutine psb_s_csr_scal(d,a,info,side) 
      import :: psb_ipk_, psb_s_csr_sparse_mat, psb_spk_
      class(psb_s_csr_sparse_mat), intent(inout) :: a
      real(psb_spk_), intent(in)      :: d(:)
      integer(psb_ipk_), intent(out)            :: info
      character, intent(in), optional :: side
    end subroutine psb_s_csr_scal
  end interface
  
  !> \memberof psb_s_csr_sparse_mat
  !! \see psb_s_base_mat_mod::psb_s_base_scals
  interface
    subroutine psb_s_csr_scals(d,a,info) 
      import :: psb_ipk_, psb_s_csr_sparse_mat, psb_spk_
      class(psb_s_csr_sparse_mat), intent(inout) :: a
      real(psb_spk_), intent(in)      :: d
      integer(psb_ipk_), intent(out)            :: info
    end subroutine psb_s_csr_scals
  end interface
  


contains 

  ! == ===================================
  !
  !
  !
  ! Getters 
  !
  !
  !
  !
  !
  ! == ===================================


  
  function s_csr_is_by_rows(a) result(res)
    implicit none 
    class(psb_s_csr_sparse_mat), intent(in) :: a
    logical  :: res
    res = .true.
     
  end function s_csr_is_by_rows

  
  function s_csr_sizeof(a) result(res)
    implicit none 
    class(psb_s_csr_sparse_mat), intent(in) :: a
    integer(psb_long_int_k_) :: res
    res = 8 
    res = res + psb_sizeof_sp  * psb_size(a%val)
    res = res + psb_sizeof_int * psb_size(a%irp)
    res = res + psb_sizeof_int * psb_size(a%ja)
      
  end function s_csr_sizeof

  function s_csr_get_fmt() result(res)
    implicit none 
    character(len=5) :: res
    res = 'CSR'
  end function s_csr_get_fmt
  
  function s_csr_get_nzeros(a) result(res)
    implicit none 
    class(psb_s_csr_sparse_mat), intent(in) :: a
    integer(psb_ipk_) :: res
    res = a%irp(a%get_nrows()+1)-1
  end function s_csr_get_nzeros

  function s_csr_get_size(a) result(res)
    implicit none 
    class(psb_s_csr_sparse_mat), intent(in) :: a
    integer(psb_ipk_) :: res

    res = -1
    
    if (allocated(a%ja)) then 
      res = size(a%ja)
    end if
    if (allocated(a%val)) then 
      if (res >= 0) then 
        res = min(res,size(a%val))
      else 
        res = size(a%val)
      end if
    end if

  end function s_csr_get_size



  function  s_csr_get_nz_row(idx,a) result(res)

    implicit none
    
    class(psb_s_csr_sparse_mat), intent(in) :: a
    integer(psb_ipk_), intent(in)                  :: idx
    integer(psb_ipk_) :: res
    
    res = 0 
 
    if ((1<=idx).and.(idx<=a%get_nrows())) then 
      res = a%irp(idx+1)-a%irp(idx)
    end if
    
  end function s_csr_get_nz_row



  ! == ===================================
  !
  !
  !
  ! Data management
  !
  !
  !
  !
  !
  ! == ===================================  

  subroutine  s_csr_free(a) 
    implicit none 

    class(psb_s_csr_sparse_mat), intent(inout) :: a

    if (allocated(a%irp)) deallocate(a%irp)
    if (allocated(a%ja)) deallocate(a%ja)
    if (allocated(a%val)) deallocate(a%val)
    call a%set_null()
    call a%set_nrows(izero)
    call a%set_ncols(izero)
    
    return

  end subroutine s_csr_free


end module psb_s_csr_mat_mod