!   
!                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
!    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.
!   
!    
! File: psb_znrm2.f90
!
! Function: psb_znrm2
!    Forms the norm2 of a distributed vector,
!
!    norm2 := sqrt ( sub( X )**T * sub( X ) )
!
!    where sub( X ) denotes X(:,JX).
!
! Arguments:
!    x(:,:) -  complex              The input vector containing the entries of sub( X ).
!    desc_a -  type(psb_desc_type). The communication descriptor.
!    info   -  integer.             Return code
!    jx     -  integer(optional).   The column offset for sub( X ).
!
function psb_znrm2(x, desc_a, info, jx)  result(res)
  use psb_desc_mod
  use psb_check_mod
  use psb_error_mod
  use psb_penv_mod
  implicit none

  complex(psb_dpk_), intent(in)      ::  x(:,:)
  type(psb_desc_type), intent(in)   :: desc_a
  integer(psb_ipk_), intent(in), optional     :: jx
  integer(psb_ipk_), intent(out)              :: info
  real(psb_dpk_)                  :: res

  ! locals
  integer(psb_ipk_) :: ictxt, np, me,&
       & err_act, iix, jjx, ndim, ix, ijx, i, m, id, idx, ndm, ldx
  real(psb_dpk_)         :: dznrm2, dd
  character(len=20)      :: name, ch_err

  name='psb_znrm2'
  if(psb_get_errstatus() /= 0) return 
  info=psb_success_
  call psb_erractionsave(err_act)

  ictxt=desc_a%get_context()

  call psb_info(ictxt, me, np)
  if (np == -1) then
    info=psb_err_context_error_
    call psb_errpush(info,name)
    goto 9999
  endif

  ix = 1
  if (present(jx)) then
    ijx = jx
  else
    ijx = 1
  endif

  m = desc_a%get_global_rows()
  ldx = size(x,1)
  call psb_chkvect(m,ione,ldx,ix,ijx,desc_a,info,iix,jjx)
  if(info /= psb_success_) then
    info=psb_err_from_subroutine_
    ch_err='psb_chkvect'
    call psb_errpush(info,name,a_err=ch_err)
  end if

  if (iix /= 1) then
    info=psb_err_ix_n1_iy_n1_unsupported_
    call psb_errpush(info,name)
    goto 9999
  end if

  if (desc_a%get_local_rows() > 0) then 
    ndim = desc_a%get_local_rows()
    res  = dznrm2( int(ndim,kind=psb_mpik_), x(iix:,jjx), int(ione,kind=psb_mpik_) )

    ! adjust  because overlapped elements are computed more than once
    do i=1,size(desc_a%ovrlap_elem,1)
      idx = desc_a%ovrlap_elem(i,1)
      ndm = desc_a%ovrlap_elem(i,2)
      dd  = real(ndm-1)/real(ndm)
      res = res * sqrt(done - dd*(abs(x(idx,jjx))/res)**2) 
    end do
  else 	    
    res = dzero
  end if

  call psb_nrm2(ictxt,res)

  call psb_erractionrestore(err_act)
  return  

9999 call psb_error_handler(ictxt,err_act)

  return
end function psb_znrm2



!!$ 
!!$              Parallel Sparse BLAS  version 3.5
!!$    (C) Copyright 2006-2018
!!$                       Salvatore Filippone    University of Rome Tor Vergata
!!$                       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
!!$  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.
!!$ 
!!$
!
! Function: psb_znrm2
!    Forms the norm2 of a distributed vector,
!
!    norm2 := sqrt ( X**T * X)
!
! Arguments:
!    x(:)   -  complex               The input vector containing the entries of X.
!    desc_a -  type(psb_desc_type).  The communication descriptor.
!    info   -  integer.              Return code
!
function psb_znrm2v(x, desc_a, info)  result(res)
  use psb_desc_mod
  use psb_check_mod
  use psb_error_mod
  use psb_penv_mod
  implicit none

  complex(psb_dpk_), intent(in)    :: x(:)
  type(psb_desc_type), intent(in)  :: desc_a
  integer(psb_ipk_), intent(out)   :: info
  real(psb_dpk_)                   :: res

  ! locals
  integer(psb_ipk_) :: ictxt, np, me,&
       & err_act, iix, jjx, ndim, ix, jx, i, m, id, idx, ndm, ldx
  real(psb_dpk_)         :: dznrm2, dd

!!$  external scombnrm2
  character(len=20)        :: name, ch_err

  name='psb_znrm2v'
  if(psb_get_errstatus() /= 0) return 
  info=psb_success_
  call psb_erractionsave(err_act)

  ictxt=desc_a%get_context()

  call psb_info(ictxt, me, np)
  if (np == -1) then
    info=psb_err_context_error_
    call psb_errpush(info,name)
    goto 9999
  endif

  ix = 1
  jx=1
  m = desc_a%get_global_rows()
  ldx = size(x,1) 
  call psb_chkvect(m,ione,ldx,ix,jx,desc_a,info,iix,jjx)
  if(info /= psb_success_) then
    info=psb_err_from_subroutine_
    ch_err='psb_chkvect'
    call psb_errpush(info,name,a_err=ch_err)
  end if

  if (iix /= 1) then
    info=psb_err_ix_n1_iy_n1_unsupported_
    call psb_errpush(info,name)
    goto 9999
  end if

  if (desc_a%get_local_rows() > 0) then 
    ndim = desc_a%get_local_rows()
    res  = dznrm2( int(ndim,kind=psb_mpik_), x, int(ione,kind=psb_mpik_) )
    ! adjust  because overlapped elements are computed more than once
    do i=1,size(desc_a%ovrlap_elem,1)
      idx = desc_a%ovrlap_elem(i,1)
      ndm = desc_a%ovrlap_elem(i,2)
      dd  = real(ndm-1)/real(ndm)
      res = res * sqrt(done - dd*(abs(x(idx))/res)**2) 
    end do
  else 	    
    res = dzero
  end if

  call psb_nrm2(ictxt,res)


  call psb_erractionrestore(err_act)
  return  

9999 call psb_error_handler(ictxt,err_act)

  return
end function psb_znrm2v



function psb_znrm2_vect(x, desc_a, info)  result(res)
  use psb_desc_mod
  use psb_check_mod
  use psb_error_mod
  use psb_penv_mod
  use psb_z_vect_mod
  implicit none

  real(psb_dpk_)                        :: res
  type(psb_z_vect_type), intent (inout) :: x
  type(psb_desc_type), intent(in)       :: desc_a
  integer(psb_ipk_), intent(out)        :: info

  ! locals
  integer(psb_ipk_) :: ictxt, np, me,&
       & err_act, iix, jjx, ndim, ix, jx, i, m, id, idx, ndm, ldx
  real(psb_dpk_)         :: snrm2, dd
!!$  external dcombnrm2
  character(len=20)      :: name, ch_err

  name='psb_znrm2v'
  if (psb_errstatus_fatal()) return 
  info=psb_success_
  call psb_erractionsave(err_act)

  ictxt=desc_a%get_context()

  call psb_info(ictxt, me, np)
  if (np == -1) then
    info=psb_err_context_error_
    call psb_errpush(info,name)
    goto 9999
  endif

  if (.not.allocated(x%v)) then 
    info = psb_err_invalid_vect_state_
    call psb_errpush(info,name)
    goto 9999
  endif


  ix = 1
  jx=1
  m = desc_a%get_global_rows()
  ldx = x%get_nrows()
  call psb_chkvect(m,ione,ldx,ix,jx,desc_a,info,iix,jjx)
  if(info /= psb_success_) then
    info=psb_err_from_subroutine_
    ch_err='psb_chkvect'
    call psb_errpush(info,name,a_err=ch_err)
  end if

  if (iix /= 1) then
    info=psb_err_ix_n1_iy_n1_unsupported_
    call psb_errpush(info,name)
    goto 9999
  end if

  if (desc_a%get_local_rows() > 0) then 
    ndim = desc_a%get_local_rows()
    res  = x%nrm2(ndim)
!!$      ! adjust  because overlapped elements are computed more than once
!!$      do i=1,size(desc_a%ovrlap_elem,1)
!!$        idx = desc_a%ovrlap_elem(i,1)
!!$        ndm = desc_a%ovrlap_elem(i,2)
!!$        dd  = dble(ndm-1)/dble(ndm)
!!$        nrm2 = nrm2 * sqrt(done - dd*(abs(x(idx))/nrm2)**2) 
!!$      end do
  else 	    
    res = dzero
  end if

  call psb_nrm2(ictxt,res)

  call psb_erractionrestore(err_act)
  return  

9999 call psb_error_handler(ictxt,err_act)

  return
end function psb_znrm2_vect



!!$ 
!!$              Parallel Sparse BLAS  version 3.5
!!$    (C) Copyright 2006-2018
!!$                       Salvatore Filippone    University of Rome Tor Vergata
!!$                       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
!!$  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.
!!$ 
!!$
!
! Subroutine: psb_znrm2vs
!    Forms the norm2 of a distributed vector,
!
!    norm2 := sqrt ( X**T * X)
!
! Arguments:
!    res    -  real                  The result.
!    x(:)   -  complex               The input vector containing the entries of X.
!    desc_a -  type(psb_desc_type).  The communication descriptor.
!    info   -  integer.              Return code
!
subroutine psb_znrm2vs(res, x, desc_a, info)
  use psb_desc_mod
  use psb_check_mod
  use psb_error_mod
  use psb_penv_mod
  implicit none

  complex(psb_dpk_), intent(in)    :: x(:)
  real(psb_dpk_), intent(out)      :: res
  type(psb_desc_type), intent(in)  :: desc_a
  integer(psb_ipk_), intent(out)   :: info

  ! locals
  integer(psb_ipk_) :: ictxt, np, me,&
       & err_act, iix, jjx, ndim, ix, jx, i, m, id, idx, ndm, ldx
  real(psb_dpk_)         :: nrm2, dznrm2, dd

!!$  external scombnrm2
  character(len=20)        :: name, ch_err

  name='psb_znrm2'
  if(psb_get_errstatus() /= 0) return 
  info=psb_success_
  call psb_erractionsave(err_act)

  ictxt=desc_a%get_context()

  call psb_info(ictxt, me, np)
  if (np == -1) then
    info=psb_err_context_error_
    call psb_errpush(info,name)
    goto 9999
  endif

  ix = 1
  jx = 1
  m = desc_a%get_global_rows()
  ldx = size(x,1) 
  call psb_chkvect(m,ione,ldx,ix,jx,desc_a,info,iix,jjx)
  if(info /= psb_success_) then
    info=psb_err_from_subroutine_
    ch_err='psb_chkvect'
    call psb_errpush(info,name,a_err=ch_err)
  end if

  if (iix /= 1) then
    info=psb_err_ix_n1_iy_n1_unsupported_
    call psb_errpush(info,name)
    goto 9999
  end if

  if (desc_a%get_local_rows() > 0) then 
    ndim = desc_a%get_local_rows()
    res  = dznrm2( int(ndim,kind=psb_mpik_), x, int(ione,kind=psb_mpik_) )

    ! adjust  because overlapped elements are computed more than once
    do i=1,size(desc_a%ovrlap_elem,1)
      idx = desc_a%ovrlap_elem(i,1)
      ndm = desc_a%ovrlap_elem(i,2)
      dd  = real(ndm-1)/real(ndm)
      res = res * sqrt(done - dd*(abs(x(idx))/res)**2) 
    end do
  else 	    
    res = dzero
  end if

  call psb_nrm2(ictxt,res)


  call psb_erractionrestore(err_act)
  return  

9999 call psb_error_handler(ictxt,err_act)

  return
end subroutine psb_znrm2vs
