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psblas3/base/serial/psb_spdot_srtd.f90

571 lines
13 KiB
Fortran

!
! 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_spdot_srtd
! Subroutine: X_nspaxpby
! Computes Z = alpha*X + beta*Y
! where X,Y and Z are all sparse vectors
!
! Function: X_spdot_srtd
! Computes dot product (V1,V2)
! where both V1 and V2 are sparse vectors; assumes the
! vectors' entries are sorted in increasing order.
!
!
!
subroutine psb_s_nspaxpby(nz,iz,z,alpha, nx, ix, x, beta, ny,iy,y,info)
use psb_const_mod
integer(psb_ipk_), intent(out) :: nz
integer(psb_ipk_), intent(out) :: iz(:)
real(psb_spk_), intent (out) :: z(:)
integer(psb_ipk_), intent(in) :: nx, ny
integer(psb_ipk_), intent(in) :: ix(:), iy(:)
real(psb_spk_), intent (in) :: x(:), y(:)
real(psb_spk_), intent (in) :: alpha, beta
integer(psb_ipk_), intent(out) :: info
integer(psb_ipk_) :: i,j,k, ipx, ipy, isz
real(psb_spk_) :: acc
info=psb_success_
nz = 0
ipx = 1
ipy = 1
isz = min(size(iz),size(z))
if (beta == szero) then
if (alpha == szero) return
nz = nx
if (nz > isz) then
info = -1
return
endif
iz(1:nz) = ix(1:nx)
z(1:nz) = alpha*x(1:nx)
else if (alpha == szero) then
nz = ny
if (nz > isz) then
info = -1
return
endif
iz(1:nz) = iy(1:ny)
z(1:nz) = beta*y(1:ny)
else
do
if (ipx > nx) exit
if (ipy > ny) exit
if (ix(ipx) == iy(ipy)) then
acc = beta*y(ipy) + alpha*x(ipx)
nz = nz + 1
if (nz > isz) then
info = -1
return
endif
iz(nz) = ix(ipx)
z(nz) = acc
ipx = ipx + 1
ipy = ipy + 1
else
nz = nz + 1
if (nz > isz) then
info = -1
return
endif
if (ix(ipx) < iy(ipy)) then
iz(nz) = ix(ipx)
z(nz) = alpha*x(ipx)
ipx = ipx + 1
else
iz(nz) = iy(ipy)
z(nz) = beta*y(ipy)
ipy = ipy + 1
end if
end if
end do
do
if (ipx > nx) exit
nz = nz + 1
if (nz > isz) then
info = -1
return
endif
iz(nz) = ix(ipx)
z(nz) = alpha*x(ipx)
ipx = ipx + 1
end do
do
if (ipy > ny) exit
nz = nz + 1
if (nz > isz) then
info = -1
return
endif
iz(nz) = iy(ipy)
z(nz) = beta*y(ipy)
ipy = ipy + 1
end do
end if
end subroutine psb_s_nspaxpby
function psb_s_spdot_srtd(nv1,iv1,v1,nv2,iv2,v2) result(dot)
use psb_const_mod
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
integer(psb_ipk_) :: i,j,k, ip1, ip2
dot = szero
ip1 = 1
ip2 = 1
do
if (ip1 > nv1) exit
if (ip2 > nv2) exit
if (iv1(ip1) == iv2(ip2)) then
dot = dot + v1(ip1)*v2(ip2)
ip1 = ip1 + 1
ip2 = ip2 + 1
else if (iv1(ip1) < iv2(ip2)) then
ip1 = ip1 + 1
else
ip2 = ip2 + 1
end if
end do
end function psb_s_spdot_srtd
subroutine psb_d_nspaxpby(nz,iz,z,alpha, nx, ix, x, beta, ny,iy,y,info)
use psb_const_mod
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
integer(psb_ipk_) :: i,j,k, ipx, ipy, isz
real(psb_dpk_) :: acc
info = psb_success_
nz = 0
ipx = 1
ipy = 1
isz = min(size(iz),size(z))
if (beta == dzero) then
if (alpha == dzero) return
nz = nx
if (nz > isz) then
info = -1
return
endif
iz(1:nz) = ix(1:nx)
z(1:nz) = alpha*x(1:nx)
else if (alpha == dzero) then
nz = ny
if (nz > isz) then
info = -1
return
endif
iz(1:nz) = iy(1:ny)
z(1:nz) = beta*y(1:ny)
else
do
if (ipx > nx) exit
if (ipy > ny) exit
if (ix(ipx) == iy(ipy)) then
acc = beta*y(ipy) + alpha*x(ipx)
nz = nz + 1
if (nz > isz) then
info = -1
return
endif
iz(nz) = ix(ipx)
z(nz) = acc
ipx = ipx + 1
ipy = ipy + 1
else
nz = nz + 1
if (nz > isz) then
info = -1
return
endif
if (ix(ipx) < iy(ipy)) then
iz(nz) = ix(ipx)
z(nz) = alpha*x(ipx)
ipx = ipx + 1
else
iz(nz) = iy(ipy)
z(nz) = beta*y(ipy)
ipy = ipy + 1
end if
end if
end do
do
if (ipx > nx) exit
nz = nz + 1
if (nz > isz) then
info = -1
return
endif
iz(nz) = ix(ipx)
z(nz) = alpha*x(ipx)
ipx = ipx + 1
end do
do
if (ipy > ny) exit
nz = nz + 1
if (nz > isz) then
info = -1
return
endif
iz(nz) = iy(ipy)
z(nz) = beta*y(ipy)
ipy = ipy + 1
end do
end if
end subroutine psb_d_nspaxpby
function psb_d_spdot_srtd(nv1,iv1,v1,nv2,iv2,v2) result(dot)
use psb_const_mod
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
integer(psb_ipk_) :: i,j,k, ip1, ip2, im1, im2, ix1, ix2
dot = dzero
ip1 = 1
ip2 = 1
if (nv1 == 0) return
if (nv2 == 0) return
im1 = iv1(nv1)
im2 = iv2(nv2)
ix1 = iv1(ip1)
ix2 = iv2(ip2)
do
if (ix1>im2) exit
if (ix2>im1) exit
if (ix1 == ix2) then
dot = dot + v1(ip1)*v2(ip2)
ip1 = ip1 + 1
if (ip1 > nv1) exit
ix1 = iv1(ip1)
ip2 = ip2 + 1
if (ip2 > nv2) exit
ix2 = iv2(ip2)
else if (ix1 < ix2) then
ip1 = ip1 + 1
if (ip1 > nv1) exit
ix1 = iv1(ip1)
else
ip2 = ip2 + 1
if (ip2 > nv2) exit
ix2 = iv2(ip2)
end if
end do
end function psb_d_spdot_srtd
subroutine psb_c_nspaxpby(nz,iz,z,alpha, nx, ix, x, beta, ny,iy,y,info)
use psb_const_mod
integer(psb_ipk_), intent(out) :: nz
integer(psb_ipk_), intent(out) :: iz(:)
complex(psb_spk_), intent (out) :: z(:)
integer(psb_ipk_), intent(in) :: nx, ny
integer(psb_ipk_), intent(in) :: ix(:), iy(:)
complex(psb_spk_), intent (in) :: x(:), y(:)
complex(psb_spk_), intent (in) :: alpha, beta
integer(psb_ipk_), intent(out) :: info
integer(psb_ipk_) :: i,j,k, ipx, ipy, isz
complex(psb_spk_) :: acc
info=psb_success_
nz = 0
ipx = 1
ipy = 1
isz = min(size(iz),size(z))
if (beta == czero) then
if (alpha == czero) return
nz = nx
if (nz > isz) then
info = -1
return
endif
iz(1:nz) = ix(1:nx)
z(1:nz) = alpha*x(1:nx)
else if (alpha == czero) then
nz = ny
if (nz > isz) then
info = -1
return
endif
iz(1:nz) = iy(1:ny)
z(1:nz) = beta*y(1:ny)
else
do
if (ipx > nx) exit
if (ipy > ny) exit
if (ix(ipx) == iy(ipy)) then
acc = beta*y(ipy) + alpha*x(ipx)
nz = nz + 1
if (nz > isz) then
info = -1
return
endif
iz(nz) = ix(ipx)
z(nz) = acc
ipx = ipx + 1
ipy = ipy + 1
else
nz = nz + 1
if (nz > isz) then
info = -1
return
endif
if (ix(ipx) < iy(ipy)) then
iz(nz) = ix(ipx)
z(nz) = alpha*x(ipx)
ipx = ipx + 1
else
iz(nz) = iy(ipy)
z(nz) = beta*y(ipy)
ipy = ipy + 1
end if
end if
end do
do
if (ipx > nx) exit
nz = nz + 1
if (nz > isz) then
info = -1
return
endif
iz(nz) = ix(ipx)
z(nz) = alpha*x(ipx)
ipx = ipx + 1
end do
do
if (ipy > ny) exit
nz = nz + 1
if (nz > isz) then
info = -1
return
endif
iz(nz) = iy(ipy)
z(nz) = beta*y(ipy)
ipy = ipy + 1
end do
end if
end subroutine psb_c_nspaxpby
function psb_c_spdot_srtd(nv1,iv1,v1,nv2,iv2,v2) result(dot)
use psb_const_mod
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
integer(psb_ipk_) :: i,j,k, ip1, ip2
dot = czero
ip1 = 1
ip2 = 1
do
if (ip1 > nv1) exit
if (ip2 > nv2) exit
if (iv1(ip1) == iv2(ip2)) then
dot = dot + conjg(v1(ip1))*v2(ip2)
ip1 = ip1 + 1
ip2 = ip2 + 1
else if (iv1(ip1) < iv2(ip2)) then
ip1 = ip1 + 1
else
ip2 = ip2 + 1
end if
end do
end function psb_c_spdot_srtd
subroutine psb_z_nspaxpby(nz,iz,z,alpha, nx, ix, x, beta, ny,iy,y,info)
use psb_const_mod
integer(psb_ipk_), intent(out) :: nz
integer(psb_ipk_), intent(out) :: iz(:)
complex(psb_dpk_), intent (out) :: z(:)
integer(psb_ipk_), intent(in) :: nx, ny
integer(psb_ipk_), intent(in) :: ix(:), iy(:)
complex(psb_dpk_), intent (in) :: x(:), y(:)
complex(psb_dpk_), intent (in) :: alpha, beta
integer(psb_ipk_), intent(out) :: info
integer(psb_ipk_) :: i,j,k, ipx, ipy, isz
complex(psb_dpk_) :: acc
info=psb_success_
nz = 0
ipx = 1
ipy = 1
isz = min(size(iz),size(z))
if (beta == zzero) then
if (alpha == zzero) return
nz = nx
if (nz > isz) then
info = -1
return
endif
iz(1:nz) = ix(1:nx)
z(1:nz) = alpha*x(1:nx)
else if (alpha == zzero) then
nz = ny
if (nz > isz) then
info = -1
return
endif
iz(1:nz) = iy(1:ny)
z(1:nz) = beta*y(1:ny)
else
do
if (ipx > nx) exit
if (ipy > ny) exit
if (ix(ipx) == iy(ipy)) then
acc = beta*y(ipy) + alpha*x(ipx)
nz = nz + 1
if (nz > isz) then
info = -1
return
endif
iz(nz) = ix(ipx)
z(nz) = acc
ipx = ipx + 1
ipy = ipy + 1
else
nz = nz + 1
if (nz > isz) then
info = -1
return
endif
if (ix(ipx) < iy(ipy)) then
iz(nz) = ix(ipx)
z(nz) = alpha*x(ipx)
ipx = ipx + 1
else
iz(nz) = iy(ipy)
z(nz) = beta*y(ipy)
ipy = ipy + 1
end if
end if
end do
do
if (ipx > nx) exit
nz = nz + 1
if (nz > isz) then
info = -1
return
endif
iz(nz) = ix(ipx)
z(nz) = alpha*x(ipx)
ipx = ipx + 1
end do
do
if (ipy > ny) exit
nz = nz + 1
if (nz > isz) then
info = -1
return
endif
iz(nz) = iy(ipy)
z(nz) = beta*y(ipy)
ipy = ipy + 1
end do
end if
end subroutine psb_z_nspaxpby
function psb_z_spdot_srtd(nv1,iv1,v1,nv2,iv2,v2) result(dot)
use psb_const_mod
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
integer(psb_ipk_) :: i,j,k, ip1, ip2
dot = zzero
ip1 = 1
ip2 = 1
do
if (ip1 > nv1) exit
if (ip2 > nv2) exit
if (iv1(ip1) == iv2(ip2)) then
dot = dot + conjg(v1(ip1))*v2(ip2)
ip1 = ip1 + 1
ip2 = ip2 + 1
else if (iv1(ip1) < iv2(ip2)) then
ip1 = ip1 + 1
else
ip2 = ip2 + 1
end if
end do
end function psb_z_spdot_srtd