! ! 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_snrm2.f90 ! ! Function: psb_snrm2 ! Computes the norm2 of a distributed vector, ! ! norm2 := sqrt ( sub( X )**C * sub( X ) ) ! ! where sub( X ) denotes X(:,JX). ! ! Arguments: ! x(:,:) - real 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 ). ! global - logical(optional) Whether to perform the global reduction, default: .true. ! function psb_snrm2(x, desc_a, info, jx,global) result(res) use psb_desc_mod use psb_check_mod use psb_error_mod use psb_penv_mod implicit none real(psb_spk_), 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_spk_) :: res logical, intent(in), optional :: global ! locals type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np, me,& & err_act, iix, jjx, ndim, i, id, idx, ndm, ldx integer(psb_lpk_) :: ix, ijx, iy, ijy, m logical :: global_ real(psb_spk_) :: snrm2, dd character(len=20) :: name, ch_err name='psb_snrm2' info=psb_success_ call psb_erractionsave(err_act) if (psb_errstatus_fatal()) then info = psb_err_internal_error_ ; goto 9999 end if ctxt=desc_a%get_context() call psb_info(ctxt, 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 if (present(global)) then global_ = global else global_ = .true. end if m = desc_a%get_global_rows() ldx = size(x,1) call psb_chkvect(m,lone,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 = snrm2( int(ndim,kind=psb_mpk_), x(iix:,jjx), int(ione,kind=psb_mpk_) ) ! 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(sone - dd*(abs(x(idx,jjx))/res)**2) end do else res = szero end if if (global_) call psb_nrm2(ctxt,res) call psb_erractionrestore(err_act) return 9999 call psb_error_handler(ctxt,err_act) return end function psb_snrm2 !!$ !!$ 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_snrm2 ! Computes the norm2 of a distributed vector, ! ! norm2 := sqrt ( X**C * X) ! ! Arguments: ! x(:) - real The input vector containing the entries of X. ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! global - logical(optional) Whether to perform the global reduction, default: .true. ! function psb_snrm2v(x, desc_a, info,global) result(res) use psb_desc_mod use psb_check_mod use psb_error_mod use psb_penv_mod implicit none real(psb_spk_), intent(in) :: x(:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info real(psb_spk_) :: res logical, intent(in), optional :: global ! locals type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np, me,& & err_act, iix, jjx, ndim, i, id, idx, ndm, ldx integer(psb_lpk_) :: ix, jx, iy, ijy, m real(psb_spk_) :: snrm2, dd logical :: global_ character(len=20) :: name, ch_err name='psb_snrm2v' info=psb_success_ call psb_erractionsave(err_act) if (psb_errstatus_fatal()) then info = psb_err_internal_error_ ; goto 9999 end if ctxt=desc_a%get_context() call psb_info(ctxt, me, np) if (np == -1) then info=psb_err_context_error_ call psb_errpush(info,name) goto 9999 endif if (present(global)) then global_ = global else global_ = .true. end if ix = 1 jx=1 m = desc_a%get_global_rows() ldx = size(x,1) call psb_chkvect(m,lone,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 = snrm2( int(ndim,kind=psb_mpk_), x, int(ione,kind=psb_mpk_) ) ! 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(sone - dd*(abs(x(idx))/res)**2) end do else res = szero end if if (global_) call psb_nrm2(ctxt,res) call psb_erractionrestore(err_act) return 9999 call psb_error_handler(ctxt,err_act) return end function psb_snrm2v ! Function: psb_snrm2_vect ! Computes the norm2 of a distributed vector, ! ! norm2 := sqrt ( X**C * X) ! ! Arguments: ! x - type(psb_s_vect_type) The input vector containing the entries of X. ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! global - logical(optional) Whether to perform the global reduction, default: .true. ! function psb_snrm2_vect(x, desc_a, info,global) result(res) use psb_desc_mod use psb_check_mod use psb_error_mod use psb_penv_mod use psb_s_vect_mod implicit none real(psb_spk_) :: res type(psb_s_vect_type), intent (inout) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info logical, intent(in), optional :: global ! locals type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np, me,& & err_act, iix, jjx, ndim, i, id, idx, ndm, ldx integer(psb_lpk_) :: ix, jx, iy, ijy, m logical :: global_ real(psb_spk_) :: snrm2, dd character(len=20) :: name, ch_err name='psb_snrm2v' call psb_erractionsave(err_act) if (psb_errstatus_fatal()) then info = psb_err_internal_error_ ; goto 9999 end if info=psb_success_ ctxt=desc_a%get_context() call psb_info(ctxt, 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 if (present(global)) then global_ = global else global_ = .true. end if ix = 1 jx = 1 m = desc_a%get_global_rows() ldx = x%get_nrows() call psb_chkvect(m,lone,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 if (size(desc_a%ovrlap_elem,1)>0) then if (x%is_dev()) call x%sync() 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) res = res - sqrt(sone - dd*(abs(x%v%v(idx))/res)**2) end do end if else res = szero end if if (global_) call psb_nrm2(ctxt,res) call psb_erractionrestore(err_act) return 9999 call psb_error_handler(ctxt,err_act) return end function psb_snrm2_vect ! Function: psb_snrm2_weight_vect ! Computes the weighted norm2 of a distributed vector, ! ! norm2 := sqrt ( (w.*X)**C * (w.*X)) ! ! Arguments: ! x - type(psb_s_vect_type) The input vector containing the entries of X. ! w - type(psb_s_vect_type) The input vector containing the entries of W. ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! global - logical(optional) Whether to perform the global reduction, default: .true. ! function psb_snrm2_weight_vect(x,w, desc_a, info,global,aux) result(res) use psb_desc_mod use psb_check_mod use psb_error_mod use psb_penv_mod use psb_s_vect_mod implicit none real(psb_spk_) :: res type(psb_s_vect_type), intent (inout) :: x type(psb_s_vect_type), intent (inout) :: w type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info logical, intent(in), optional :: global type(psb_s_vect_type), intent(inout), optional :: aux ! locals type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np, me,& & err_act, iix, jjx, ndim, i, id, idx, ndm, ldx integer(psb_lpk_) :: ix, jx, iy, ijy, m logical :: global_ real(psb_spk_) :: snrm2, dd character(len=20) :: name, ch_err name='psb_snrm2v_weight' call psb_erractionsave(err_act) if (psb_errstatus_fatal()) then info = psb_err_internal_error_ ; goto 9999 end if info=psb_success_ ctxt=desc_a%get_context() call psb_info(ctxt, 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 if (present(global)) then global_ = global else global_ = .true. end if ix = 1 jx = 1 m = desc_a%get_global_rows() ldx = x%get_nrows() call psb_chkvect(m,lone,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,w,aux) ! adjust because overlapped elements are computed more than once if (size(desc_a%ovrlap_elem,1)>0) then if (x%is_dev()) call x%sync() 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) res = res - sqrt(sone - dd*(abs(x%v%v(idx))/res)**2) end do end if else res = szero end if if (global_) call psb_nrm2(ctxt,res) call psb_erractionrestore(err_act) return 9999 call psb_error_handler(ctxt,err_act) return end function psb_snrm2_weight_vect ! Function: psb_snrm2_weight_vect ! Computes the weighted norm2 of a distributed vector with respect to a mask ! contained in the vector id. ! ! norm2 := sqrt ( (w(id > 0).*X(id > 0))**C * (w(id > 0).*X(id > 0))) ! ! Arguments: ! x - type(psb_s_vect_type) The input vector containing the entries of X. ! w - type(psb_s_vect_type) The input vector containing the entries of W. ! id - type(psb_s_vect_type) The inpute vector containing the mask ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! global - logical(optional) Whether to perform the global reduction, default: .true. ! function psb_snrm2_weightmask_vect(x,w,idv, desc_a, info,global, aux) result(res) use psb_desc_mod use psb_check_mod use psb_error_mod use psb_penv_mod use psb_s_vect_mod implicit none real(psb_spk_) :: res type(psb_s_vect_type), intent (inout) :: x type(psb_s_vect_type), intent (inout) :: w type(psb_s_vect_type), intent (inout) :: idv type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info logical, intent(in), optional :: global type(psb_s_vect_type), intent(inout), optional :: aux ! locals type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np, me,& & err_act, iix, jjx, ndim, i, id, idx, ndm, ldx integer(psb_lpk_) :: ix, jx, iy, ijy, m logical :: global_ real(psb_spk_) :: snrm2, dd character(len=20) :: name, ch_err name='psb_snrm2v_weightmask' call psb_erractionsave(err_act) if (psb_errstatus_fatal()) then info = psb_err_internal_error_ ; goto 9999 end if info=psb_success_ ctxt=desc_a%get_context() call psb_info(ctxt, 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 if (present(global)) then global_ = global else global_ = .true. end if ix = 1 jx = 1 m = desc_a%get_global_rows() ldx = x%get_nrows() call psb_chkvect(m,lone,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,w,idv,info,aux) ! adjust because overlapped elements are computed more than once if (size(desc_a%ovrlap_elem,1)>0) then if (x%is_dev()) call x%sync() 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) res = res - sqrt(sone - dd*(abs(x%v%v(idx))/res)**2) end do end if else res = szero end if if (global_) call psb_nrm2(ctxt,res) call psb_erractionrestore(err_act) return 9999 call psb_error_handler(ctxt,err_act) return end function psb_snrm2_weightmask_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_snrm2vs ! Computes the norm2 of a distributed vector, subroutine version ! ! norm2 := sqrt ( X**C * X) ! ! Arguments: ! res - real The result. ! x(:) - real The input vector containing the entries of X. ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! global - logical(optional) Whether to perform the global reduction, default: .true. ! subroutine psb_snrm2vs(res, x, desc_a, info,global) use psb_desc_mod use psb_check_mod use psb_error_mod use psb_penv_mod implicit none real(psb_spk_), intent(in) :: x(:) real(psb_spk_), intent(out) :: res type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info logical, intent(in), optional :: global ! locals type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np, me,& & err_act, iix, jjx, ndim, i, id, idx, ndm, ldx integer(psb_lpk_) :: ix, jx, iy, ijy, m logical :: global_ real(psb_spk_) :: nrm2, snrm2, dd character(len=20) :: name, ch_err name='psb_snrm2' info=psb_success_ call psb_erractionsave(err_act) if (psb_errstatus_fatal()) then info = psb_err_internal_error_ ; goto 9999 end if ctxt=desc_a%get_context() call psb_info(ctxt, me, np) if (np == -1) then info=psb_err_context_error_ call psb_errpush(info,name) goto 9999 endif if (present(global)) then global_ = global else global_ = .true. end if ix = 1 jx = 1 m = desc_a%get_global_rows() ldx = size(x,1) call psb_chkvect(m,lone,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 = snrm2( int(ndim,kind=psb_mpk_), x, int(ione,kind=psb_mpk_) ) ! 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(sone - dd*(abs(x(idx))/res)**2) end do else res = szero end if if (global_) call psb_nrm2(ctxt,res) call psb_erractionrestore(err_act) return 9999 call psb_error_handler(ctxt,err_act) return end subroutine psb_snrm2vs