From 6e4023d68fbdc61fd04e04eb91a3832dd34fadd7 Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Fri, 4 Dec 2015 17:45:22 +0000 Subject: [PATCH] psblas3: base/comm/psb_cscatter.F90 base/comm/psb_dscatter.F90 base/comm/psb_iscatter.F90 base/comm/psb_sscatter.F90 base/comm/psb_zscatter.F90 base/modules/psb_c_comm_mod.f90 base/modules/psb_c_tools_mod.f90 base/modules/psb_d_comm_mod.f90 base/modules/psb_d_tools_mod.f90 base/modules/psb_i_comm_mod.f90 base/modules/psb_i_tools_mod.f90 base/modules/psb_s_comm_mod.f90 base/modules/psb_s_tools_mod.f90 base/modules/psb_z_comm_mod.f90 base/modules/psb_z_tools_mod.f90 docs/psblas-3.4.pdf docs/src/commrout.tex Scatter interfaces. --- base/comm/psb_cscatter.F90 | 86 + base/comm/psb_dscatter.F90 | 86 + base/comm/psb_iscatter.F90 | 86 + base/comm/psb_sscatter.F90 | 86 + base/comm/psb_zscatter.F90 | 86 + base/modules/psb_c_comm_mod.f90 | 10 + base/modules/psb_c_tools_mod.f90 | 2 +- base/modules/psb_d_comm_mod.f90 | 10 + base/modules/psb_d_tools_mod.f90 | 2 +- base/modules/psb_i_comm_mod.f90 | 10 + base/modules/psb_i_tools_mod.f90 | 2 +- base/modules/psb_s_comm_mod.f90 | 10 + base/modules/psb_s_tools_mod.f90 | 2 +- base/modules/psb_z_comm_mod.f90 | 10 + base/modules/psb_z_tools_mod.f90 | 2 +- docs/psblas-3.4.pdf | 27773 +++++++++++++++-------------- docs/src/commrout.tex | 11 +- 17 files changed, 14512 insertions(+), 13762 deletions(-) diff --git a/base/comm/psb_cscatter.F90 b/base/comm/psb_cscatter.F90 index a1a8bf93..19639d58 100644 --- a/base/comm/psb_cscatter.F90 +++ b/base/comm/psb_cscatter.F90 @@ -468,3 +468,89 @@ subroutine psb_cscatterv(globx, locx, desc_a, info, iroot) return end subroutine psb_cscatterv + + + +!!$ +!!$ Parallel Sparse BLAS version 3.4 +!!$ (C) Copyright 2006, 2010, 2015 +!!$ Salvatore Filippone University of Rome Tor Vergata +!!$ Alfredo Buttari CNRS-IRIT, Toulouse +!!$ +!!$ 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_cscatter_vect(globx, locx, desc_a, info, iroot, mold) + use psb_base_mod, psb_protect_name => psb_cscatter_vect + implicit none + type(psb_c_vect_type), intent(inout) :: locx + complex(psb_spk_), intent(in) :: globx(:) + type(psb_desc_type), intent(in) :: desc_a + integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(in), optional :: iroot + class(psb_c_base_vect_type), intent(in), optional :: mold + + ! locals + integer(psb_mpik_) :: ictxt, np, me, root, iiroot, icomm, myrank, rootrank + integer(psb_ipk_) :: ierr(5), err_act, m, n, i, j, idx, nrow, iglobx, jglobx,& + & ilocx, jlocx, lda_locx, lda_globx, k, pos, ilx, jlx + complex(psb_spk_), allocatable :: vlocx(:) + character(len=20) :: name, ch_err + integer(psb_ipk_) :: debug_level, debug_unit + + name='psb_scatter_vect' + if (psb_get_errstatus() /= 0) return + info=psb_success_ + call psb_erractionsave(err_act) + ictxt=desc_a%get_context() + debug_unit = psb_get_debug_unit() + debug_level = psb_get_debug_level() + + + ! check on blacs grid + call psb_info(ictxt, me, np) + if (np == -1) then + info = psb_err_context_error_ + call psb_errpush(info,name) + goto 9999 + endif + + call psb_scatter(globx, vlocx, desc_a, info, iroot) + if (info /= psb_success_) then + info = psb_err_from_subroutine_ + call psb_errpush(info,name,a_err='psb_scatterv') + goto 9999 + endif + + call locx%bld(vlocx,mold) + + call psb_erractionrestore(err_act) + return + +9999 call psb_error_handler(ictxt,err_act) + + return + +end subroutine psb_cscatter_vect diff --git a/base/comm/psb_dscatter.F90 b/base/comm/psb_dscatter.F90 index ec1ea6f1..fe4ce919 100644 --- a/base/comm/psb_dscatter.F90 +++ b/base/comm/psb_dscatter.F90 @@ -468,3 +468,89 @@ subroutine psb_dscatterv(globx, locx, desc_a, info, iroot) return end subroutine psb_dscatterv + + + +!!$ +!!$ Parallel Sparse BLAS version 3.4 +!!$ (C) Copyright 2006, 2010, 2015 +!!$ Salvatore Filippone University of Rome Tor Vergata +!!$ Alfredo Buttari CNRS-IRIT, Toulouse +!!$ +!!$ 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_dscatter_vect(globx, locx, desc_a, info, iroot, mold) + use psb_base_mod, psb_protect_name => psb_dscatter_vect + implicit none + type(psb_d_vect_type), intent(inout) :: locx + real(psb_dpk_), intent(in) :: globx(:) + type(psb_desc_type), intent(in) :: desc_a + integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(in), optional :: iroot + class(psb_d_base_vect_type), intent(in), optional :: mold + + ! locals + integer(psb_mpik_) :: ictxt, np, me, root, iiroot, icomm, myrank, rootrank + integer(psb_ipk_) :: ierr(5), err_act, m, n, i, j, idx, nrow, iglobx, jglobx,& + & ilocx, jlocx, lda_locx, lda_globx, k, pos, ilx, jlx + real(psb_dpk_), allocatable :: vlocx(:) + character(len=20) :: name, ch_err + integer(psb_ipk_) :: debug_level, debug_unit + + name='psb_scatter_vect' + if (psb_get_errstatus() /= 0) return + info=psb_success_ + call psb_erractionsave(err_act) + ictxt=desc_a%get_context() + debug_unit = psb_get_debug_unit() + debug_level = psb_get_debug_level() + + + ! check on blacs grid + call psb_info(ictxt, me, np) + if (np == -1) then + info = psb_err_context_error_ + call psb_errpush(info,name) + goto 9999 + endif + + call psb_scatter(globx, vlocx, desc_a, info, iroot) + if (info /= psb_success_) then + info = psb_err_from_subroutine_ + call psb_errpush(info,name,a_err='psb_scatterv') + goto 9999 + endif + + call locx%bld(vlocx,mold) + + call psb_erractionrestore(err_act) + return + +9999 call psb_error_handler(ictxt,err_act) + + return + +end subroutine psb_dscatter_vect diff --git a/base/comm/psb_iscatter.F90 b/base/comm/psb_iscatter.F90 index d02c5597..809c35c1 100644 --- a/base/comm/psb_iscatter.F90 +++ b/base/comm/psb_iscatter.F90 @@ -468,3 +468,89 @@ subroutine psb_iscatterv(globx, locx, desc_a, info, iroot) return end subroutine psb_iscatterv + + + +!!$ +!!$ Parallel Sparse BLAS version 3.4 +!!$ (C) Copyright 2006, 2010, 2015 +!!$ Salvatore Filippone University of Rome Tor Vergata +!!$ Alfredo Buttari CNRS-IRIT, Toulouse +!!$ +!!$ 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_iscatter_vect(globx, locx, desc_a, info, iroot, mold) + use psb_base_mod, psb_protect_name => psb_iscatter_vect + implicit none + type(psb_i_vect_type), intent(inout) :: locx + integer(psb_ipk_), intent(in) :: globx(:) + type(psb_desc_type), intent(in) :: desc_a + integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(in), optional :: iroot + class(psb_i_base_vect_type), intent(in), optional :: mold + + ! locals + integer(psb_mpik_) :: ictxt, np, me, root, iiroot, icomm, myrank, rootrank + integer(psb_ipk_) :: ierr(5), err_act, m, n, i, j, idx, nrow, iglobx, jglobx,& + & ilocx, jlocx, lda_locx, lda_globx, k, pos, ilx, jlx + integer(psb_ipk_), allocatable :: vlocx(:) + character(len=20) :: name, ch_err + integer(psb_ipk_) :: debug_level, debug_unit + + name='psb_scatter_vect' + if (psb_get_errstatus() /= 0) return + info=psb_success_ + call psb_erractionsave(err_act) + ictxt=desc_a%get_context() + debug_unit = psb_get_debug_unit() + debug_level = psb_get_debug_level() + + + ! check on blacs grid + call psb_info(ictxt, me, np) + if (np == -1) then + info = psb_err_context_error_ + call psb_errpush(info,name) + goto 9999 + endif + + call psb_scatter(globx, vlocx, desc_a, info, iroot) + if (info /= psb_success_) then + info = psb_err_from_subroutine_ + call psb_errpush(info,name,a_err='psb_scatterv') + goto 9999 + endif + + call locx%bld(vlocx,mold) + + call psb_erractionrestore(err_act) + return + +9999 call psb_error_handler(ictxt,err_act) + + return + +end subroutine psb_iscatter_vect diff --git a/base/comm/psb_sscatter.F90 b/base/comm/psb_sscatter.F90 index c4f3e943..31ac9cfd 100644 --- a/base/comm/psb_sscatter.F90 +++ b/base/comm/psb_sscatter.F90 @@ -468,3 +468,89 @@ subroutine psb_sscatterv(globx, locx, desc_a, info, iroot) return end subroutine psb_sscatterv + + + +!!$ +!!$ Parallel Sparse BLAS version 3.4 +!!$ (C) Copyright 2006, 2010, 2015 +!!$ Salvatore Filippone University of Rome Tor Vergata +!!$ Alfredo Buttari CNRS-IRIT, Toulouse +!!$ +!!$ 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_sscatter_vect(globx, locx, desc_a, info, iroot, mold) + use psb_base_mod, psb_protect_name => psb_sscatter_vect + implicit none + type(psb_s_vect_type), intent(inout) :: locx + real(psb_spk_), intent(in) :: globx(:) + type(psb_desc_type), intent(in) :: desc_a + integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(in), optional :: iroot + class(psb_s_base_vect_type), intent(in), optional :: mold + + ! locals + integer(psb_mpik_) :: ictxt, np, me, root, iiroot, icomm, myrank, rootrank + integer(psb_ipk_) :: ierr(5), err_act, m, n, i, j, idx, nrow, iglobx, jglobx,& + & ilocx, jlocx, lda_locx, lda_globx, k, pos, ilx, jlx + real(psb_spk_), allocatable :: vlocx(:) + character(len=20) :: name, ch_err + integer(psb_ipk_) :: debug_level, debug_unit + + name='psb_scatter_vect' + if (psb_get_errstatus() /= 0) return + info=psb_success_ + call psb_erractionsave(err_act) + ictxt=desc_a%get_context() + debug_unit = psb_get_debug_unit() + debug_level = psb_get_debug_level() + + + ! check on blacs grid + call psb_info(ictxt, me, np) + if (np == -1) then + info = psb_err_context_error_ + call psb_errpush(info,name) + goto 9999 + endif + + call psb_scatter(globx, vlocx, desc_a, info, iroot) + if (info /= psb_success_) then + info = psb_err_from_subroutine_ + call psb_errpush(info,name,a_err='psb_scatterv') + goto 9999 + endif + + call locx%bld(vlocx,mold) + + call psb_erractionrestore(err_act) + return + +9999 call psb_error_handler(ictxt,err_act) + + return + +end subroutine psb_sscatter_vect diff --git a/base/comm/psb_zscatter.F90 b/base/comm/psb_zscatter.F90 index b3fc6471..254f438b 100644 --- a/base/comm/psb_zscatter.F90 +++ b/base/comm/psb_zscatter.F90 @@ -468,3 +468,89 @@ subroutine psb_zscatterv(globx, locx, desc_a, info, iroot) return end subroutine psb_zscatterv + + + +!!$ +!!$ Parallel Sparse BLAS version 3.4 +!!$ (C) Copyright 2006, 2010, 2015 +!!$ Salvatore Filippone University of Rome Tor Vergata +!!$ Alfredo Buttari CNRS-IRIT, Toulouse +!!$ +!!$ 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_zscatter_vect(globx, locx, desc_a, info, iroot, mold) + use psb_base_mod, psb_protect_name => psb_zscatter_vect + implicit none + type(psb_z_vect_type), intent(inout) :: locx + complex(psb_dpk_), intent(in) :: globx(:) + type(psb_desc_type), intent(in) :: desc_a + integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(in), optional :: iroot + class(psb_z_base_vect_type), intent(in), optional :: mold + + ! locals + integer(psb_mpik_) :: ictxt, np, me, root, iiroot, icomm, myrank, rootrank + integer(psb_ipk_) :: ierr(5), err_act, m, n, i, j, idx, nrow, iglobx, jglobx,& + & ilocx, jlocx, lda_locx, lda_globx, k, pos, ilx, jlx + complex(psb_dpk_), allocatable :: vlocx(:) + character(len=20) :: name, ch_err + integer(psb_ipk_) :: debug_level, debug_unit + + name='psb_scatter_vect' + if (psb_get_errstatus() /= 0) return + info=psb_success_ + call psb_erractionsave(err_act) + ictxt=desc_a%get_context() + debug_unit = psb_get_debug_unit() + debug_level = psb_get_debug_level() + + + ! check on blacs grid + call psb_info(ictxt, me, np) + if (np == -1) then + info = psb_err_context_error_ + call psb_errpush(info,name) + goto 9999 + endif + + call psb_scatter(globx, vlocx, desc_a, info, iroot) + if (info /= psb_success_) then + info = psb_err_from_subroutine_ + call psb_errpush(info,name,a_err='psb_scatterv') + goto 9999 + endif + + call locx%bld(vlocx,mold) + + call psb_erractionrestore(err_act) + return + +9999 call psb_error_handler(ictxt,err_act) + + return + +end subroutine psb_zscatter_vect diff --git a/base/modules/psb_c_comm_mod.f90 b/base/modules/psb_c_comm_mod.f90 index 859d819f..06fea017 100644 --- a/base/modules/psb_c_comm_mod.f90 +++ b/base/modules/psb_c_comm_mod.f90 @@ -138,6 +138,16 @@ module psb_c_comm_mod integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), intent(in), optional :: root end subroutine psb_cscatterv + subroutine psb_cscatter_vect(globx, locx, desc_a, info, root, mold) + import + implicit none + type(psb_c_vect_type), intent(inout) :: locx + complex(psb_spk_), intent(in) :: globx(:) + type(psb_desc_type), intent(in) :: desc_a + integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(in), optional :: root + class(psb_c_base_vect_type), intent(in), optional :: mold + end subroutine psb_cscatter_vect end interface psb_scatter interface psb_gather diff --git a/base/modules/psb_c_tools_mod.f90 b/base/modules/psb_c_tools_mod.f90 index d26996f5..73a9f1d9 100644 --- a/base/modules/psb_c_tools_mod.f90 +++ b/base/modules/psb_c_tools_mod.f90 @@ -350,5 +350,5 @@ Module psb_c_tools_mod logical, intent(in), optional :: clear end subroutine psb_csprn end interface - + end module psb_c_tools_mod diff --git a/base/modules/psb_d_comm_mod.f90 b/base/modules/psb_d_comm_mod.f90 index cf974360..f9d6467b 100644 --- a/base/modules/psb_d_comm_mod.f90 +++ b/base/modules/psb_d_comm_mod.f90 @@ -138,6 +138,16 @@ module psb_d_comm_mod integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), intent(in), optional :: root end subroutine psb_dscatterv + subroutine psb_dscatter_vect(globx, locx, desc_a, info, root, mold) + import + implicit none + type(psb_d_vect_type), intent(inout) :: locx + real(psb_dpk_), intent(in) :: globx(:) + type(psb_desc_type), intent(in) :: desc_a + integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(in), optional :: root + class(psb_d_base_vect_type), intent(in), optional :: mold + end subroutine psb_dscatter_vect end interface psb_scatter interface psb_gather diff --git a/base/modules/psb_d_tools_mod.f90 b/base/modules/psb_d_tools_mod.f90 index 42410bf4..84592c19 100644 --- a/base/modules/psb_d_tools_mod.f90 +++ b/base/modules/psb_d_tools_mod.f90 @@ -350,5 +350,5 @@ Module psb_d_tools_mod logical, intent(in), optional :: clear end subroutine psb_dsprn end interface - + end module psb_d_tools_mod diff --git a/base/modules/psb_i_comm_mod.f90 b/base/modules/psb_i_comm_mod.f90 index ca2f9a70..e8398b59 100644 --- a/base/modules/psb_i_comm_mod.f90 +++ b/base/modules/psb_i_comm_mod.f90 @@ -137,6 +137,16 @@ module psb_i_comm_mod integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), intent(in), optional :: root end subroutine psb_iscatterv + subroutine psb_iscatter_vect(globx, locx, desc_a, info, root, mold) + import + implicit none + type(psb_i_vect_type), intent(inout) :: locx + integer(psb_ipk_), intent(in) :: globx(:) + type(psb_desc_type), intent(in) :: desc_a + integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(in), optional :: root + class(psb_i_base_vect_type), intent(in), optional :: mold + end subroutine psb_iscatter_vect end interface psb_scatter interface psb_gather diff --git a/base/modules/psb_i_tools_mod.f90 b/base/modules/psb_i_tools_mod.f90 index 75fac022..ef05f0cd 100644 --- a/base/modules/psb_i_tools_mod.f90 +++ b/base/modules/psb_i_tools_mod.f90 @@ -237,7 +237,7 @@ Module psb_i_tools_mod end subroutine psb_iins_multivect end interface - + interface psb_glob_to_loc subroutine psb_glob_to_loc2v(x,y,desc_a,info,iact,owned) import diff --git a/base/modules/psb_s_comm_mod.f90 b/base/modules/psb_s_comm_mod.f90 index a39fa696..eb2d0b83 100644 --- a/base/modules/psb_s_comm_mod.f90 +++ b/base/modules/psb_s_comm_mod.f90 @@ -138,6 +138,16 @@ module psb_s_comm_mod integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), intent(in), optional :: root end subroutine psb_sscatterv + subroutine psb_sscatter_vect(globx, locx, desc_a, info, root, mold) + import + implicit none + type(psb_s_vect_type), intent(inout) :: locx + real(psb_spk_), intent(in) :: globx(:) + type(psb_desc_type), intent(in) :: desc_a + integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(in), optional :: root + class(psb_s_base_vect_type), intent(in), optional :: mold + end subroutine psb_sscatter_vect end interface psb_scatter interface psb_gather diff --git a/base/modules/psb_s_tools_mod.f90 b/base/modules/psb_s_tools_mod.f90 index b4e0b2f6..db667092 100644 --- a/base/modules/psb_s_tools_mod.f90 +++ b/base/modules/psb_s_tools_mod.f90 @@ -350,5 +350,5 @@ Module psb_s_tools_mod logical, intent(in), optional :: clear end subroutine psb_ssprn end interface - + end module psb_s_tools_mod diff --git a/base/modules/psb_z_comm_mod.f90 b/base/modules/psb_z_comm_mod.f90 index aeca8334..69222457 100644 --- a/base/modules/psb_z_comm_mod.f90 +++ b/base/modules/psb_z_comm_mod.f90 @@ -138,6 +138,16 @@ module psb_z_comm_mod integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), intent(in), optional :: root end subroutine psb_zscatterv + subroutine psb_zscatter_vect(globx, locx, desc_a, info, root, mold) + import + implicit none + type(psb_z_vect_type), intent(inout) :: locx + complex(psb_dpk_), intent(in) :: globx(:) + type(psb_desc_type), intent(in) :: desc_a + integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(in), optional :: root + class(psb_z_base_vect_type), intent(in), optional :: mold + end subroutine psb_zscatter_vect end interface psb_scatter interface psb_gather diff --git a/base/modules/psb_z_tools_mod.f90 b/base/modules/psb_z_tools_mod.f90 index 412296dd..e17cd610 100644 --- a/base/modules/psb_z_tools_mod.f90 +++ b/base/modules/psb_z_tools_mod.f90 @@ -350,5 +350,5 @@ Module psb_z_tools_mod logical, intent(in), optional :: clear end subroutine psb_zsprn end interface - + end module psb_z_tools_mod diff --git a/docs/psblas-3.4.pdf b/docs/psblas-3.4.pdf index 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[(ciated)-302(with)-303(t)1(he)-303(in)28(ternal)-302(p)-28(oin)28(ts)-302(requires)-303(no)-302(data)-302(items)-302(from)-303(other)-302(domains)]TJ 0 -11.955 Td [(and)-333(no)-334(comm)28(unications.)]TJ 0 g 0 G - [-859(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ +/F27 9.9626 Tf -24.907 -25.172 Td [(Boundary)96(.)]TJ 0 g 0 G - [-584(120)]TJ +/F8 9.9626 Tf 56.517 0 Td [(A)-438(p)-28(oin)28(t)-438(of)-438(a)-438(giv)28(en)-439(domain)-438(is)-438(a)-438(b)-28(oundar)1(y)-439(p)-27(oin)28(t)-439(if)-438(it)]TJ/F17 9.9626 Tf 238.706 0 Td [(dep)51(ends)]TJ/F8 9.9626 Tf 37.972 0 Td [(on)]TJ -308.288 -11.955 Td [(p)-28(oin)28(ts)-333(b)-28(elonging)-333(to)-334(other)-333(domains.)]TJ 0 g 0 G +/F27 9.9626 Tf -24.907 -25.172 Td [(Halo.)]TJ +0 g 0 G +/F8 9.9626 Tf 31.611 0 Td 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+/F7 6.9738 Tf 32.102 3.615 Td [(2)]TJ +0 g 0 G +/F8 9.9626 Tf 4.469 -3.615 Td [(;)-323(therefore)-319(the)-319(card)1(inalit)27(y)-318(of)-319(the)-318(b)-28(oundary)-318(p)-28(oin)28(ts)-319(set)-318(denotes)-319(the)]TJ -36.571 -11.955 Td [(amoun)28(t)-334(of)-333(data)-333(sen)28(t)-334(to)-333(other)-333(domains.)]TJ +0 g 0 G ET q -1 0 0 1 126.23 399.479 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 99.895 167.678 cm +[]0 d 0 J 0.398 w 0 0 m 137.482 0 l S Q BT -/F8 9.9626 Tf 129.219 399.28 Td [(write)]TJ +/F32 5.9776 Tf 110.987 161.036 Td [(1)]TJ/F31 7.9701 Tf 4.151 -2.812 Td [(In)-354(our)-354(protot)29(yp)-29(e)-354(imple)-1(men)30(tation)-354(w)29(e)-354(pro)30(vide)-354(sample)-355(scatter/ga)1(the)-1(r)-354(routines.)]TJ/F32 5.9776 Tf -4.151 -6.692 Td [(2)]TJ/F31 7.9701 Tf 4.151 -2.813 Td [(This)-320(is)-319(the)-320(nor)1(m)-1(a)1(l)-320(situation)-319(when)-320(the)-319(pattern)-320(of)-319(the)-320(sparse)-319(matrix)-320(is)-319(symmetric,)-327(whic)30(h)-320(is)]TJ 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[(mm)]TJ -ET -q -1 0 0 1 132.042 387.524 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F8 9.9626 Tf 135.03 387.324 Td [(mat)]TJ ET -q -1 0 0 1 152.786 387.524 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F8 9.9626 Tf 155.775 387.324 Td [(read)]TJ +endstream +endobj +753 0 obj << +/Length 5348 +>> +stream 0 g 0 G - [-527(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(122)]TJ 0 g 0 G -0 0 1 rg 0 0 1 RG - -40.936 -11.955 Td [(mm)]TJ -ET -q -1 0 0 1 132.042 375.568 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F8 9.9626 Tf 135.03 375.369 Td [(arra)28(y)]TJ -ET -q -1 0 0 1 158.376 375.568 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q BT -/F8 9.9626 Tf 161.365 375.369 Td [(read)]TJ +/F27 9.9626 Tf 150.705 706.129 Td [(Ov)32(erlap.)]TJ 0 g 0 G - [-744(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ +/F8 9.9626 Tf 47.585 0 Td [(An)-339(o)28(v)28(erlap)-339(p)-28(oin)28(t)-339(is)-339(a)-339(b)-28(oundary)-339(p)-28(oin)28(t)-339(assigned)-339(to)-339(m)28(ultiple)-339(domains.)]TJ -22.679 -11.955 Td [(An)28(y)-297(op)-28(eration)-296(that)-297(in)28(v)28(olv)27(es)-297(an)-296(o)28(v)27(erlap)-296(p)-28(oin)28(t)-297(has)-297(to)-297(b)-27(e)-297(replicated)-297(for)-296(e)-1(ac)28(h)]TJ 0 -11.955 Td [(assignmen)28(t.)]TJ -24.906 -19.428 Td [(Ov)28(erlap)-266(p)-27(oin)27(t)1(s)-266(do)-265(not)-266(usually)-265(exist)-266(in)-265(the)-266(basic)-265(data)-266(distrib)1(utions;)-288(ho)27(w)28(ev)28(er)-266(they)]TJ 0 -11.955 Td 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Td [(B)]TJ/F8 9.9626 Tf 10.216 0 Td [(and)]TJ/F14 9.9626 Tf 19.421 0 Td [(H)]TJ/F8 9.9626 Tf 8.51 0 Td [(.)-459(Eac)28(h)-338(s)-1(u)1(b)-28(domain)-338(is)-339(assigned)-338(to)-338(one)-338(pro)-28(cess;)-341(eac)28(h)-338(pro)-28(cess)]TJ -89.297 -11.955 Td [(usually)-280(o)28(wns)-280(one)-281(sub)-27(domain,)-291(although)-280(the)-280(user)-280(ma)28(y)-281(c)28(ho)-28(ose)-280(to)-280(assign)-280(more)-280(than)]TJ 0 -11.955 Td [(one)-294(sub)-28(domain)-294(to)-294(a)-294(pro)-28(cess.)-432(If)-294(eac)28(h)-294(pro)-28(cess)]TJ/F11 9.9626 Tf 192.296 0 Td [(i)]TJ/F8 9.9626 Tf 6.363 0 Td [(o)28(wns)-294(one)-295(sub)-27(domain,)-302(the)-294(n)27(um)28(b)-28(er)]TJ -198.659 -11.955 Td [(of)-296(ro)27(ws)-296(in)-297(the)-296(lo)-28(cal)-296(sparse)-297(matrix)-296(is)]TJ/F14 9.9626 Tf 156.215 0 Td [(jI)]TJ/F10 6.9738 Tf 8.193 -1.494 Td [(i)]TJ/F14 9.9626 Tf 3.316 1.494 Td [(j)]TJ/F8 9.9626 Tf 4.247 0 Td [(+)]TJ/F14 9.9626 Tf 9.228 0 Td [(jB)]TJ/F10 6.9738 Tf 9.311 -1.494 Td 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[(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)28(o)-255(arra)28(y)-255(or)-255(an)-255(ob)-55(ject)-255(of)-255(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 244.742 0 Td [(psb)]TJ +ET +q +1 0 0 1 436.673 295.361 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 439.811 295.162 Td [(T)]TJ +ET +q +1 0 0 1 445.669 295.361 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 448.807 295.162 Td [(vect)]TJ +ET +q +1 0 0 1 470.356 295.361 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 473.495 295.162 Td [(type)]TJ +0 g 0 G +/F8 9.9626 Tf -297.884 -11.955 Td [(con)28(taining)-378(n)27(um)28(b)-28(ers)-378(of)-378(t)28(yp)-28(e)-378(sp)-28(eci\014ed)-378(in)-379(T)84(able)]TJ +0 0 1 rg 0 0 1 RG + [-378(3)]TJ +0 g 0 G + [(.)-580(The)-378(rank)-378(of)]TJ/F11 9.9626 Tf 274.422 0 Td [(y)]TJ/F8 9.9626 Tf 9.011 0 Td [(m)28(ust)-378(b)-28(e)]TJ -283.433 -11.956 Td [(the)-333(same)-334(of)]TJ/F11 9.9626 Tf 53.467 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -84.067 -18.428 Td [(desc)]TJ +ET +q +1 0 0 1 172.619 253.022 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +Q +BT +/F27 9.9626 Tf 176.057 252.823 Td [(a)]TJ +0 g 0 G +/F8 9.9626 Tf 10.55 0 Td [(con)28(tains)-334(data)-333(structures)-333(for)-333(c)-1(omm)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 135.659 0 Td [(psb)]TJ +ET +q +1 0 0 1 327.588 205.202 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 330.727 205.003 Td [(desc)]TJ +ET +q +1 0 0 1 352.275 205.202 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 355.414 205.003 Td [(type)]TJ +0 g 0 G +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -225.63 -18.429 Td [(On)-383(Return)]TJ +0 g 0 G +0 g 0 G + 0 -18.428 Td [(res)]TJ +0 g 0 G +/F8 9.9626 Tf 19.47 0 Td [(is)-333(the)-334(dot)-333(pro)-28(duct)-333(of)-333(sub)28(v)27(ectors)]TJ/F11 9.9626 Tf 142.189 0 Td [(x)]TJ/F8 9.9626 Tf 9.015 0 Td [(and)]TJ/F11 9.9626 Tf 19.372 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(.)]TJ -170.381 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.034 -11.955 Td [(Sp)-28(eci\014ed)-357(as:)-494(a)-357(n)27(um)28(b)-28(er)-357(or)-358(a)-358(rank-one)-357(arra)27(y)-357(of)-358(the)-358(data)-357(t)27(yp)-27(e)-358(indicated)-358(in)]TJ 0 -11.955 Td [(T)83(able)]TJ +0 0 1 rg 0 0 1 RG + [-333(2)]TJ +0 g 0 G + [(.)]TJ +0 g 0 G + 141.967 -29.888 Td [(30)]TJ +0 g 0 G +ET +endstream +endobj +965 0 obj << +/Length 624 +>> +stream +0 g 0 G +0 g 0 G +0 g 0 G +BT +/F27 9.9626 Tf 99.895 706.129 Td [(info)]TJ +0 g 0 G +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ +0 g 0 G + 141.968 -567.87 Td [(31)]TJ +0 g 0 G +ET +endstream +endobj +973 0 obj << +/Length 7095 +>> +stream +0 g 0 G +0 g 0 G +BT +/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ +ET +q +1 0 0 1 171.761 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +Q +BT +/F16 11.9552 Tf 175.796 706.129 Td [(normi)-375(|)-375(In\014nit)31(y-Norm)-375(of)-375(V)94(ector)]TJ/F8 9.9626 Tf -25.091 -18.389 Td [(This)-333(function)-334(computes)-333(the)-333(in\014nit)28(y-norm)-334(of)-333(a)-333(v)28(e)-1(ctor)]TJ/F11 9.9626 Tf 233.181 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -238.875 -11.956 Td [(If)]TJ/F11 9.9626 Tf 9.963 0 Td [(x)]TJ/F8 9.9626 Tf 9.014 0 Td [(is)-333(a)-334(real)-333(v)28(ector)-334(it)-333(computes)-333(in\014nit)28(y)-334(norm)-333(as:)]TJ/F11 9.9626 Tf 115.269 -21.138 Td [(amax)]TJ/F14 9.9626 Tf 27.741 0 Td [(\040)]TJ/F8 9.9626 Tf 12.73 0 Td [(max)]TJ/F10 6.9738 Tf 7.861 -6.275 Td [(i)]TJ/F14 9.9626 Tf 12.341 6.275 Td [(j)]TJ/F11 9.9626 Tf 2.767 0 Td [(x)]TJ/F10 6.9738 Tf 5.694 -1.495 Td [(i)]TJ/F14 9.9626 Tf 3.317 1.495 Td [(j)]TJ/F8 9.9626 Tf -206.697 -24.37 Td [(else)-333(if)]TJ/F11 9.9626 Tf 28.006 0 Td [(x)]TJ/F8 9.9626 Tf 9.015 0 Td [(is)-333(a)-334(complex)-333(v)28(ector)-334(then)-333(it)-333(computes)-334(the)-333(in\014nit)28(y-norm)-333(as:)]TJ/F11 9.9626 Tf 61.446 -21.138 Td [(amax)]TJ/F14 9.9626 Tf 27.741 0 Td [(\040)]TJ/F8 9.9626 Tf 12.73 0 Td [(max)]TJ/F10 6.9738 Tf 7.861 -6.275 Td [(i)]TJ/F8 9.9626 Tf 12.341 6.275 Td [(\050)]TJ/F14 9.9626 Tf 3.874 0 Td [(j)]TJ/F11 9.9626 Tf 2.768 0 Td [(r)-28(e)]TJ/F8 9.9626 Tf 9.41 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(x)]TJ/F10 6.9738 Tf 5.694 -1.495 Td [(i)]TJ/F8 9.9626 Tf 3.317 1.495 Td [(\051)]TJ/F14 9.9626 Tf 3.875 0 Td [(j)]TJ/F8 9.9626 Tf 4.981 0 Td [(+)]TJ/F14 9.9626 Tf 9.962 0 Td [(j)]TJ/F11 9.9626 Tf 2.768 0 Td [(im)]TJ/F8 9.9626 Tf 12.179 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(x)]TJ/F10 6.9738 Tf 5.694 -1.495 Td [(i)]TJ/F8 9.9626 Tf 3.317 1.495 Td [(\051)]TJ/F14 9.9626 Tf 3.874 0 Td [(j)]TJ/F8 9.9626 Tf 2.767 0 Td [(\051)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf 0 -18.175 Td [(call)-525(psb_gedots\050res,)-525(x,)-525(y,)-525(desc_a,)-525(info\051)]TJ +/F30 9.9626 Tf -241.369 -24.37 Td [(psb_geamax\050x,)-525(desc_a,)-525(info\051)]TJ 0 -11.955 Td [(psb_normi\050x,)-525(desc_a,)-525(info\051)]TJ 0 g 0 G 0 g 0 G 0 g 0 G ET q -1 0 0 1 228.797 586.966 cm -[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S +1 0 0 1 179.892 549.573 cm +[]0 d 0 J 0.398 w 0 0 m 285.336 0 l S Q BT -/F11 9.9626 Tf 234.775 578.398 Td [(r)-28(es)]TJ/F8 9.9626 Tf 14.08 0 Td [(,)]TJ/F11 9.9626 Tf 6.089 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(y)]TJ/F27 9.9626 Tf 88.459 0 Td [(Subroutine)]TJ +/F11 9.9626 Tf 185.87 541.005 Td [(amax)-7677(x)]TJ/F27 9.9626 Tf 221.863 0 Td [(F)96(unction)]TJ ET q -1 0 0 1 228.797 574.612 cm -[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S +1 0 0 1 179.892 537.219 cm +[]0 d 0 J 0.398 w 0 0 m 285.336 0 l S Q BT -/F8 9.9626 Tf 234.775 566.045 Td [(Short)-333(Precision)-334(Real)-3102(psb)]TJ +/F8 9.9626 Tf 185.87 528.651 Td [(Short)-333(Precision)-334(Real)-1200(Shor)1(t)-334(Precision)-333(Real)-3103(psb)]TJ ET q -1 0 0 1 370.782 566.244 cm +1 0 0 1 423.33 528.851 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 566.045 Td [(gedots)]TJ -138.996 -11.956 Td [(Long)-333(Precision)-334(Real)-3314(psb)]TJ +/F8 9.9626 Tf 426.319 528.651 Td [(geamax)]TJ -240.449 -11.955 Td [(Long)-333(Precision)-334(Real)-1411(Long)-333(Precision)-333(Real)-3314(psb)]TJ ET q -1 0 0 1 370.782 554.289 cm +1 0 0 1 423.33 516.895 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 554.089 Td [(gedots)]TJ -138.996 -11.955 Td [(Short)-333(Precision)-334(Complex)-1200(psb)]TJ +/F8 9.9626 Tf 426.319 516.696 Td [(geamax)]TJ -240.449 -11.955 Td [(Short)-333(Precision)-334(Real)-1200(Shor)1(t)-334(Precision)-333(Complex)-1200(psb)]TJ ET q -1 0 0 1 370.782 542.333 cm +1 0 0 1 423.33 504.94 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 542.134 Td [(gedots)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ +/F8 9.9626 Tf 426.319 504.741 Td [(geamax)]TJ -240.449 -11.955 Td [(Long)-333(Precision)-334(Real)-1411(Long)-333(Precision)-333(Complex)-1412(psb)]TJ ET q -1 0 0 1 370.782 530.378 cm +1 0 0 1 423.33 492.985 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 530.179 Td [(gedots)]TJ +/F8 9.9626 Tf 426.319 492.786 Td [(geamax)]TJ ET q -1 0 0 1 228.797 526.393 cm -[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S +1 0 0 1 179.892 489 cm +[]0 d 0 J 0.398 w 0 0 m 285.336 0 l S Q 0 g 0 G BT -/F8 9.9626 Tf 278.877 498.354 Td [(T)83(able)-333(3:)-444(Data)-334(t)28(yp)-28(es)]TJ +/F8 9.9626 Tf 278.877 460.961 Td [(T)83(able)-333(4:)-444(Data)-334(t)28(yp)-28(es)]TJ 0 g 0 G 0 g 0 G 0 g 0 G -/F27 9.9626 Tf -128.172 -28.356 Td [(T)32(yp)-32(e:)]TJ +/F27 9.9626 Tf -128.172 -32.506 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G /F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -18.428 Td [(On)-383(En)32(try)]TJ +/F27 9.9626 Tf -33.797 -19.613 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G - 0 -18.429 Td [(x)]TJ + 0 -19.614 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.118 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -167.933 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)28(o)-255(arra)28(y)-255(or)-255(an)-255(ob)-55(ject)-255(of)-255(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.118 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -167.933 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)28(o)-255(arra)28(y)-255(or)-255(an)-255(ob)-55(ject)-255(of)-255(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 244.742 0 Td [(psb)]TJ ET q -1 0 0 1 436.673 385.52 cm +1 0 0 1 436.673 341.607 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 439.811 385.321 Td [(T)]TJ +/F30 9.9626 Tf 439.811 341.407 Td [(T)]TJ ET q -1 0 0 1 445.669 385.52 cm +1 0 0 1 445.669 341.607 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 448.807 385.321 Td [(vect)]TJ +/F30 9.9626 Tf 448.807 341.407 Td [(vect)]TJ ET q -1 0 0 1 470.356 385.52 cm +1 0 0 1 470.356 341.607 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 473.495 385.321 Td [(type)]TJ +/F30 9.9626 Tf 473.495 341.407 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf -297.884 -11.955 Td [(con)28(taining)-375(n)27(um)28(b)-28(ers)-375(of)-375(t)28(yp)-28(e)-375(sp)-28(eci\014ed)-375(in)-375(T)83(able)]TJ +/F8 9.9626 Tf -297.884 -11.955 Td [(con)28(taining)-333(n)27(um)28(b)-28(ers)-333(of)-333(t)27(yp)-27(e)-334(sp)-27(ec)-1(i)1(\014ed)-334(in)-333(T)83(able)]TJ 0 0 1 rg 0 0 1 RG - [-375(3)]TJ + [-333(4)]TJ 0 g 0 G - [(.)-570(The)-376(rank)-375(of)]TJ/F11 9.9626 Tf 274.031 0 Td [(x)]TJ/F8 9.9626 Tf 9.432 0 Td [(m)28(ust)-375(b)-28(e)]TJ -283.463 -11.956 Td [(the)-333(same)-334(of)]TJ/F11 9.9626 Tf 53.467 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(.)]TJ + [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -83.615 -18.428 Td [(y)]TJ +/F27 9.9626 Tf -24.906 -19.613 Td [(desc)]TJ +ET +q +1 0 0 1 172.619 310.038 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +Q +BT +/F27 9.9626 Tf 176.057 309.839 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.118 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(.)]TJ -167.481 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9.9626 Tf 244.742 0 Td [(psb)]TJ +/F30 9.9626 Tf 135.659 0 Td [(psb)]TJ ET q -1 0 0 1 436.673 295.361 cm +1 0 0 1 327.588 262.217 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 439.811 295.162 Td [(T)]TJ +/F30 9.9626 Tf 330.727 262.018 Td [(desc)]TJ ET q -1 0 0 1 445.669 295.361 cm +1 0 0 1 352.275 262.217 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 448.807 295.162 Td [(vect)]TJ +/F30 9.9626 Tf 355.414 262.018 Td [(type)]TJ +0 g 0 G +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -225.63 -19.614 Td [(On)-383(Return)]TJ +0 g 0 G +0 g 0 G + 0 -19.613 Td [(F)96(unction)-384(v)64(alue)]TJ +0 g 0 G +/F8 9.9626 Tf 78.386 0 Td [(is)-333(the)-334(in\014nit)28(y)-333(norm)-333(of)-334(sub)28(v)28(ector)]TJ/F11 9.9626 Tf 143.518 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -202.692 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td 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120.41 0 Td [(F)96(unction)]TJ +/F11 9.9626 Tf 183.966 523.647 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(\013)]TJ/F8 9.9626 Tf 6.41 0 Td [(,)]TJ/F11 9.9626 Tf 6.089 0 Td [(\014)]TJ/F27 9.9626 Tf 71.238 0 Td [(Subroutine)]TJ ET q -1 0 0 1 232.099 577.608 cm -[]0 d 0 J 0.398 w 0 0 m 180.922 0 l S +1 0 0 1 177.988 519.862 cm +[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S Q BT -/F8 9.9626 Tf 238.077 569.04 Td [(Short)-333(Precision)-334(Real)-3102(psb)]TJ +/F8 9.9626 Tf 183.966 511.294 Td [(Short)-333(Precision)-333(R)-1(eal)-3102(psb)]TJ ET q -1 0 0 1 374.084 569.24 cm +1 0 0 1 319.972 511.493 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 377.073 569.04 Td [(spnrmi)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Real)-3314(psb)]TJ +/F8 9.9626 Tf 322.961 511.294 Td [(spmm)]TJ -138.995 -11.956 Td [(Long)-333(Precision)-334(Real)-3314(p)1(s)-1(b)]TJ ET q -1 0 0 1 374.084 557.284 cm +1 0 0 1 319.972 499.538 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 377.073 557.085 Td [(spnrmi)]TJ -138.996 -11.955 Td [(Short)-333(Precision)-334(Complex)-1200(psb)]TJ +/F8 9.9626 Tf 322.961 499.338 Td [(spmm)]TJ -138.995 -11.955 Td [(Short)-333(Precision)-333(C)-1(omplex)-1200(p)1(s)-1(b)]TJ ET q -1 0 0 1 374.084 545.329 cm +1 0 0 1 319.972 487.583 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 377.073 545.13 Td [(spnrmi)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ +/F8 9.9626 Tf 322.961 487.383 Td [(spmm)]TJ -138.995 -11.955 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ ET q -1 0 0 1 374.084 533.374 cm +1 0 0 1 319.972 475.627 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 377.073 533.175 Td [(spnrmi)]TJ +/F8 9.9626 Tf 322.961 475.428 Td [(spmm)]TJ ET q -1 0 0 1 232.099 529.389 cm -[]0 d 0 J 0.398 w 0 0 m 180.922 0 l S +1 0 0 1 177.988 471.642 cm +[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S Q 0 g 0 G BT -/F8 9.9626 Tf 276.386 501.35 Td [(T)83(able)-333(11:)-444(Data)-334(t)28(yp)-28(es)]TJ +/F8 9.9626 Tf 225.577 443.603 Td [(T)83(able)-333(12:)-444(Data)-334(t)28(yp)-28(es)]TJ 0 g 0 G 0 g 0 G 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -125.681 -33.873 Td [(psb_spnrmi\050A,)-525(desc_a,)-525(info\051)]TJ 0 -11.956 Td [(psb_normi\050A,)-525(desc_a,)-525(info\051)]TJ +/F30 9.9626 Tf -125.682 -32.649 Td [(call)-525(psb_spmm\050alpha,)-525(a,)-525(x,)-525(beta,)-525(y,)-525(desc_a,)-525(info\051)]TJ 0 -11.955 Td [(call)-525(psb_spmm\050alpha,)-525(a,)-525(x,)-525(beta,)-525(y,desc_a,)-525(info,)-525(&)]TJ 67.995 -11.955 Td [(&)-525(trans,)-525(work\051)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -21.917 Td [(T)32(yp)-32(e:)]TJ +/F27 9.9626 Tf -67.995 -21.044 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G /F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ +/F27 9.9626 Tf -33.797 -19.575 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(a)]TJ + 0 -19.576 Td [(alpha)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(the)-333(global)-333(sparse)-334(matrix)]TJ/F11 9.9626 Tf 196.126 0 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(.)]TJ -189.242 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 32.033 0 Td [(the)-333(scalar)]TJ/F11 9.9626 Tf 45.468 0 Td [(\013)]TJ/F8 9.9626 Tf 6.41 0 Td [(.)]TJ -59.004 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(n)28(um)28(b)-28(er)-333(of)-334(the)-333(data)-333(t)28(yp)-28(e)-334(ind)1(ic)-1(ated)-333(in)-333(T)83(able)]TJ +0 0 1 rg 0 0 1 RG + [-333(12)]TJ +0 g 0 G + [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -19.575 Td [(a)]TJ +0 g 0 G +/F8 9.9626 Tf 10.551 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(the)-333(sparse)-333(matrix)]TJ/F11 9.9626 Tf 166.792 0 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(.)]TJ -159.908 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 135.658 0 Td [(psb)]TJ ET q -1 0 0 1 327.588 346.132 cm +1 0 0 1 276.779 211.831 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 330.727 345.932 Td [(Tspmat)]TJ +/F30 9.9626 Tf 279.917 211.632 Td [(Tspmat)]TJ ET q -1 0 0 1 362.736 346.132 cm +1 0 0 1 311.927 211.831 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 365.874 345.932 Td [(type)]TJ +/F30 9.9626 Tf 315.065 211.632 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -236.091 -19.925 Td [(desc)]TJ +/F27 9.9626 Tf -236.091 -19.575 Td [(x)]TJ +0 g 0 G +/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.118 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -167.933 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)27(o)-254(arra)27(y)-254(or)-255(an)-255(ob)-55(jec)-1(t)-254(of)-255(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 244.743 0 Td [(psb)]TJ ET q -1 0 0 1 172.619 326.206 cm +1 0 0 1 385.864 144.435 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 389.002 144.236 Td [(T)]TJ +ET +q +1 0 0 1 394.86 144.435 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 397.998 144.236 Td [(vect)]TJ +ET +q +1 0 0 1 419.547 144.435 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 422.685 144.236 Td [(type)]TJ +0 g 0 G +/F8 9.9626 Tf -297.883 -11.955 Td [(con)28(taining)-342(n)28(um)28(b)-28(ers)-342(of)-342(t)28(yp)-28(e)-342(sp)-28(eci\014ed)-342(in)-341(T)83(able)]TJ +0 0 1 rg 0 0 1 RG + [-342(12)]TJ +0 g 0 G + [(.)-470(The)-342(rank)-342(of)]TJ/F11 9.9626 Tf 274.694 0 Td [(x)]TJ/F8 9.9626 Tf 9.101 0 Td [(m)28(ust)-342(b)-28(e)]TJ -283.795 -11.955 Td [(the)-333(same)-334(of)]TJ/F11 9.9626 Tf 53.466 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(.)]TJ +0 g 0 G + 83.26 -29.888 Td [(41)]TJ +0 g 0 G +ET +endstream +endobj +1059 0 obj << +/Length 6975 +>> +stream +0 g 0 G +0 g 0 G +0 g 0 G +BT +/F27 9.9626 Tf 150.705 706.129 Td [(b)-32(eta)]TJ +0 g 0 G +/F8 9.9626 Tf 26.94 0 Td [(the)-333(scalar)]TJ/F11 9.9626 Tf 45.469 0 Td [(\014)]TJ/F8 9.9626 Tf 6.161 0 Td [(.)]TJ -53.664 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(n)28(um)28(b)-28(er)-333(of)-334(the)-333(data)-333(t)27(yp)-27(e)-334(indicated)-333(in)-333(T)83(able)]TJ +0 0 1 rg 0 0 1 RG + [-333(12)]TJ +0 g 0 G + [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.906 -18.453 Td [(y)]TJ +0 g 0 G +/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.118 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(.)]TJ -167.482 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)27(o)-254(arra)27(y)-254(or)-255(an)-255(ob)-56(j)1(e)-1(ct)-254(of)-255(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 244.743 0 Td [(psb)]TJ +ET +q +1 0 0 1 436.673 592.233 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 439.811 592.034 Td [(T)]TJ +ET +q +1 0 0 1 445.669 592.233 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 448.807 592.034 Td [(vect)]TJ +ET +q +1 0 0 1 470.356 592.233 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 473.495 592.034 Td [(type)]TJ +0 g 0 G +/F8 9.9626 Tf -297.884 -11.955 Td [(con)28(taining)-345(n)28(um)28(b)-28(ers)-345(of)-345(t)28(yp)-28(e)-345(sp)-28(eci\014ed)-345(in)-345(T)84(able)]TJ +0 0 1 rg 0 0 1 RG + [-345(12)]TJ +0 g 0 G + [(.)-479(The)-345(rank)-345(of)]TJ/F11 9.9626 Tf 275.087 0 Td [(y)]TJ/F8 9.9626 Tf 8.678 0 Td [(m)28(ust)-345(b)-28(e)]TJ -283.765 -11.955 Td [(the)-333(same)-334(of)]TJ/F11 9.9626 Tf 53.467 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -84.067 -18.454 Td [(desc)]TJ +ET +q +1 0 0 1 172.619 549.87 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 176.057 326.007 Td [(a)]TJ +/F27 9.9626 Tf 176.057 549.67 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(con)28(tains)-334(data)-333(structures)-333(for)-333(c)-1(omm)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.55 0 Td [(con)28(tains)-334(data)-333(structures)-333(for)-333(c)-1(omm)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 135.659 0 Td [(psb)]TJ ET q -1 0 0 1 327.588 278.386 cm +1 0 0 1 327.588 502.049 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 330.727 278.186 Td [(desc)]TJ +/F30 9.9626 Tf 330.727 501.85 Td [(desc)]TJ ET q -1 0 0 1 352.275 278.386 cm +1 0 0 1 352.275 502.049 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 355.414 278.186 Td [(type)]TJ +/F30 9.9626 Tf 355.414 501.85 Td [(type)]TJ 0 g 0 G /F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -225.63 -19.925 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -225.63 -18.454 Td [(trans)]TJ 0 g 0 G +/F8 9.9626 Tf 30.609 0 Td [(indicates)-333(what)-334(kind)-333(of)-333(op)-28(eration)-333(to)-333(p)-28(erform.)]TJ 0 g 0 G - 0 -19.925 Td [(F)96(unction)-384(v)64(alue)]TJ +/F27 9.9626 Tf -5.703 -18.453 Td [(trans)-383(=)-384(N)]TJ 0 g 0 G -/F8 9.9626 Tf 78.386 0 Td [(is)-333(the)-334(in\014nit)28(y-norm)-333(of)-333(sparse)-334(submatrix)]TJ/F11 9.9626 Tf 176.311 0 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(.)]TJ -237.263 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(long)-333(precision)-334(r)1(e)-1(al)-333(n)28(um)28(b)-28(er.)]TJ +/F8 9.9626 Tf 56.124 0 Td [(the)-333(op)-28(eration)-333(is)-334(sp)-28(eci\014ed)-333(b)28(y)-333(equation)]TJ +0 0 1 rg 0 0 1 RG + [-334(1)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -19.926 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(te)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ +/F27 9.9626 Tf -56.124 -14.469 Td [(trans)-383(=)-384(T)]TJ 0 g 0 G - 141.968 -56.242 Td [(40)]TJ +/F8 9.9626 Tf 55.128 0 Td 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[(p)-122(s)-123(b)]TJ ET q -1 0 0 1 445.669 590.037 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 150.256 460.971 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F30 9.9626 Tf 448.807 589.838 Td [(vect)]TJ +/F8 9.9626 Tf 154.464 460.772 Td [(h)-122(a)-123(l)-122(o)-228(\050)-130(x)-209(,)-874(d)-112(e)-113(s)-113(c)]TJ ET q -1 0 0 1 470.356 590.037 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 226.044 460.971 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F30 9.9626 Tf 473.495 589.838 Td [(type)]TJ +/F8 9.9626 Tf 230.155 460.772 Td [(a)-386(,)-888(i)-127(n)-127(f)-127(o)-415(,)-804(w)-43(o)-43(r)-43(k)-247(,)]TJ/F27 9.9626 Tf 91.304 0 Td [(d)-39(a)-39(t)-40(a)]TJ/F8 9.9626 Tf 24.571 0 Td [(\051)]TJ 0 g 0 G -/F8 9.9626 Tf -297.884 -11.955 Td [(con)28(taining)-342(n)28(um)28(b)-28(ers)-342(of)-342(t)28(yp)-28(e)-342(sp)-28(eci\014ed)-342(in)-341(T)83(able)]TJ -0 0 1 rg 0 0 1 RG - [-342(13)]TJ 0 g 0 G - [(.)-470(The)-342(rank)-342(of)]TJ/F11 9.9626 Tf 274.695 0 Td [(x)]TJ/F8 9.9626 Tf 9.1 0 Td [(m)28(ust)-342(b)-28(e)]TJ -283.795 -11.956 Td [(the)-333(same)-334(of)]TJ/F11 9.9626 Tf 53.467 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -83.615 -20.649 Td [(b)-32(eta)]TJ +/F27 9.9626 Tf -246.135 -26.961 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G -/F8 9.9626 Tf 26.94 0 Td [(the)-333(scalar)]TJ/F11 9.9626 Tf 45.469 0 Td [(\014)]TJ/F8 9.9626 Tf 6.161 0 Td [(.)]TJ -53.663 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(n)28(um)28(b)-28(er)-333(of)-334(the)-333(data)-333(t)28(yp)-28(e)-334(in)1(dicate)-1(d)-333(in)-333(T)83(able)]TJ -0 0 1 rg 0 0 1 RG - [-333(13)]TJ +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G - [(.)]TJ +/F27 9.9626 Tf -33.797 -19.659 Td [(On)-383(En)32(try)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -20.65 Td [(y)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.118 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(.)]TJ -167.481 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)28(o)-255(arra)28(y)-255(or)-255(an)-255(ob)-55(ject)-255(of)-255(t)28(yp)-28(e)]TJ + 0 -19.658 Td [(x)]TJ +0 g 0 G +/F8 9.9626 Tf 11.028 0 Td [(global)-333(dense)-334(matrix)]TJ/F11 9.9626 Tf 88.917 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -80.732 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)27(o)-254(arra)27(y)-254(or)-255(an)-255(ob)-55(jec)-1(t)-254(of)-255(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 244.742 0 Td [(psb)]TJ +/F30 9.9626 Tf 244.743 0 Td [(psb)]TJ ET q -1 0 0 1 436.673 429.186 cm +1 0 0 1 385.864 346.872 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 439.811 428.986 Td [(T)]TJ +/F30 9.9626 Tf 389.002 346.673 Td [(T)]TJ ET q -1 0 0 1 445.669 429.186 cm +1 0 0 1 394.86 346.872 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 448.807 428.986 Td [(vect)]TJ +/F30 9.9626 Tf 397.998 346.673 Td [(vect)]TJ ET q -1 0 0 1 470.356 429.186 cm +1 0 0 1 419.547 346.872 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 473.495 428.986 Td [(type)]TJ +/F30 9.9626 Tf 422.685 346.673 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf -297.884 -11.955 Td [(con)28(taining)-345(n)28(um)28(b)-28(ers)-345(of)-345(t)28(yp)-28(e)-345(sp)-28(eci\014ed)-345(in)-345(T)84(able)]TJ +/F8 9.9626 Tf -297.883 -11.955 Td [(con)28(taining)-333(n)27(um)28(b)-28(ers)-333(of)-333(t)28(yp)-28(e)-334(sp)-27(eci\014ed)-334(in)-333(T)83(able)]TJ 0 0 1 rg 0 0 1 RG - [-345(13)]TJ + [-333(14)]TJ 0 g 0 G - [(.)-479(The)-345(rank)-345(of)]TJ/F11 9.9626 Tf 275.087 0 Td [(y)]TJ/F8 9.9626 Tf 8.678 0 Td [(m)28(ust)-345(b)-28(e)]TJ -283.765 -11.955 Td [(the)-333(same)-334(of)]TJ/F11 9.9626 Tf 53.467 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ + [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -84.067 -20.65 Td [(desc)]TJ +/F27 9.9626 Tf -24.907 -19.658 Td [(desc)]TJ ET q -1 0 0 1 172.619 384.625 cm +1 0 0 1 121.81 315.259 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 176.057 384.426 Td [(a)]TJ +/F27 9.9626 Tf 125.247 315.06 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(con)28(tains)-334(data)-333(structures)-333(for)-333(c)-1(omm)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.551 0 Td [(con)28(tains)-334(d)1(ata)-334(structures)-333(for)-333(com)-1(m)28(unications.)]TJ -10.996 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 135.659 0 Td [(psb)]TJ +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 327.588 336.805 cm +1 0 0 1 312.036 267.438 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 330.727 336.605 Td [(desc)]TJ +/F30 9.9626 Tf 315.174 267.239 Td [(desc)]TJ ET q -1 0 0 1 352.275 336.805 cm +1 0 0 1 336.723 267.438 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 355.414 336.605 Td [(type)]TJ +/F30 9.9626 Tf 339.861 267.239 Td [(type)]TJ 0 g 0 G /F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -225.63 -20.649 Td [(trans)]TJ +/F27 9.9626 Tf -260.887 -19.658 Td [(w)32(ork)]TJ 0 g 0 G -/F8 9.9626 Tf 30.609 0 Td [(sp)-28(ecify)-333(with)]TJ/F17 9.9626 Tf 55.68 0 Td [(unitd)]TJ/F8 9.9626 Tf 25.725 0 Td [(the)-333(op)-28(eration)-333(to)-334(p)-27(e)-1(r)1(form.)]TJ +/F8 9.9626 Tf 29.432 0 Td [(the)-333(w)27(ork)-333(arra)28(y)83(.)]TJ -4.525 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-333(arra)27(y)-333(of)-333(the)-334(same)-333(t)28(yp)-28(e)-333(of)]TJ/F11 9.9626 Tf 220.756 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -87.108 -20.65 Td [(trans)-383(=)-384('N')]TJ +/F27 9.9626 Tf -251.357 -19.659 Td [(data)]TJ 0 g 0 G -/F8 9.9626 Tf 62.489 0 Td [(the)-333(op)-28(eration)-333(is)-334(with)-333(no)-333(transp)-28(osed)-333(matrix)]TJ +/F8 9.9626 Tf 26.941 0 Td [(index)-333(list)-334(selector.)]TJ -2.034 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(Sp)-28(eci\014ed)-222(as:)-389(an)-222(in)28(teger.)-408(V)84(alues:)]TJ/F30 9.9626 Tf 136.479 0 Td [(psb_comm_halo_)]TJ/F8 9.9626 Tf 73.225 0 Td [(,)]TJ/F30 9.9626 Tf 2.767 0 Td [(psb_comm_mov_)]TJ/F8 9.9626 Tf 67.995 0 Td [(,)]TJ/F30 9.9626 Tf 5.202 0 Td [(psb_comm_ext_)]TJ/F8 9.9626 Tf 67.995 0 Td [(,)]TJ -353.663 -11.955 Td [(default:)]TJ/F30 9.9626 Tf 39.089 0 Td [(psb_comm_halo_)]TJ/F8 9.9626 Tf 73.224 0 Td [(.)-705(Cho)-27(os)-1(es)-420(the)-420(index)-420(list)-420(on)-420(whic)28(h)-420(to)-420(base)-420(the)]TJ -112.313 -11.955 Td [(data)-333(exc)27(hange.)]TJ 0 g 0 G -/F27 9.9626 Tf -62.489 -16.303 Td [(trans)-383(=)-384('T')]TJ + 141.968 -29.888 Td [(47)]TJ 0 g 0 G -/F8 9.9626 Tf 61.493 0 Td [(the)-333(op)-28(eration)-333(is)-334(with)-333(transp)-28(osed)-333(matrix.)]TJ +ET +endstream +endobj +1106 0 obj << +/Length 3219 +>> +stream 0 g 0 G -/F27 9.9626 Tf -61.493 -16.302 Td [(trans)-383(=)-384('C')]TJ 0 g 0 G -/F8 9.9626 Tf 61.798 0 Td [(the)-333(op)-28(eration)-333(is)-334(with)-333(conjugate)-333(transp)-28(osed)-333(matrix.)]TJ -61.798 -20.65 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Default:)]TJ/F11 9.9626 Tf 39.436 0 Td [(tr)-28(ans)]TJ/F8 9.9626 Tf 27.052 0 Td [(=)]TJ/F11 9.9626 Tf 10.517 0 Td [(N)]TJ/F8 9.9626 Tf -77.005 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(c)28(haracter)-334(v)56(ariable.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -20.65 Td [(unitd)]TJ +BT +/F27 9.9626 Tf 150.705 706.129 Td [(On)-383(Return)]TJ 0 g 0 G -/F8 9.9626 Tf 31.714 0 Td [(sp)-28(ecify)-333(with)]TJ/F17 9.9626 Tf 55.68 0 Td [(tr)51(ans)]TJ/F8 9.9626 Tf 25.089 0 Td [(the)-333(op)-28(eration)-333(to)-334(p)-27(erform.)]TJ 0 g 0 G -/F27 9.9626 Tf -87.577 -20.649 Td [(unitd)-383(=)-384('U')]TJ + 0 -19.925 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 63.443 0 Td [(the)-333(op)-28(eration)-333(is)-334(with)-333(no)-333(scaling)]TJ +/F8 9.9626 Tf 11.028 0 Td [(global)-333(dense)-334(result)-333(matrix)]TJ/F11 9.9626 Tf 116.674 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -108.49 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Returned)-271(as:)-414(a)-271(rank)-271(one)-271(or)-272(t)28(w)28(o)-271(arra)28(y)-272(con)28(taining)-271(n)28(um)28(b)-28(ers)-271(of)-272(t)28(yp)-28(e)-271(sp)-28(eci\014ed)]TJ 0 -11.955 Td [(in)-333(T)83(able)]TJ +0 0 1 rg 0 0 1 RG + [-333(14)]TJ 0 g 0 G -/F27 9.9626 Tf -63.443 -16.303 Td [(unitd)-383(=)-384('L')]TJ + [(.)]TJ 0 g 0 G -/F8 9.9626 Tf 61.519 0 Td [(the)-333(op)-28(eration)-333(is)-334(with)-333(left)-333(scaling)]TJ +/F27 9.9626 Tf -24.906 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-237.16 -11.955 Td [(ha)28(v)28(e)-334(a)-333(cop)28(y)-334(of)-333(the)-333(global)-334(v)28(ector.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(ariable)]TJ/F14 9.9626 Tf 142.079 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1)]TJ/F14 9.9626 Tf 7.748 0 Td [(\024)]TJ/F11 9.9626 Tf 10.516 0 Td [(r)-28(oot)]TJ/F14 9.9626 Tf 20.795 0 Td [(\024)]TJ/F11 9.9626 Tf 10.516 0 Td [(np)]TJ/F14 9.9626 Tf 13.206 0 Td [(\000)]TJ/F8 9.9626 Tf 9.963 0 Td [(1,)-333(default)]TJ/F14 9.9626 Tf 44.555 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1.)]TJ +0 g 0 G + -132.908 -29.888 Td [(56)]TJ +0 g 0 G +ET +endstream +endobj +1184 0 obj << +/Length 4163 >> stream 0 g 0 G 0 g 0 G +0 g 0 G +BT +/F27 9.9626 Tf 99.895 706.129 Td [(mold)]TJ +0 g 0 G +/F8 9.9626 Tf 29.805 0 Td [(The)-333(desired)-334(dynamic)-333(t)28(yp)-28(e)-333(for)-334(the)-333(in)28(ternal)-333(v)27(ector)-333(storage.)]TJ -4.898 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-273(as:)-414(an)-274(ob)-55(ject)-273(of)-274(a)-273(class)-273(deriv)28(ed)-274(from)]TJ/F30 9.9626 Tf 198.26 0 Td [(psb)]TJ +ET +q +1 0 0 1 339.381 658.507 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 342.519 658.308 Td [(T)]TJ +ET +q +1 0 0 1 348.377 658.507 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q BT -/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ +/F30 9.9626 Tf 351.515 658.308 Td [(base)]TJ ET q -1 0 0 1 171.761 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 373.064 658.507 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F16 11.9552 Tf 175.796 706.129 Td [(scatter)-375(|)-375(Scatter)-375(Global)-375(Dense)-375(Matrix)]TJ/F8 9.9626 Tf -25.091 -18.481 Td [(These)-315(subroutines)-315(scatters)-315(the)-315(p)-28(ortions)-315(of)-315(global)-315(dense)-315(matrix)-315(o)28(wned)-315(b)27(y)-315(a)-315(pro-)]TJ 0 -11.955 Td [(cess)-333(to)-334(all)-333(the)-333(pro)-28(cesses)-334(in)-333(the)-333(pro)-28(cesses)-334(grid.)]TJ/F11 9.9626 Tf 119.021 -24.002 Td [(l)-20(oc)]TJ +/F30 9.9626 Tf 376.202 658.308 Td [(vect)]TJ ET q -1 0 0 1 282.633 651.89 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 397.751 658.507 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F11 9.9626 Tf 285.622 651.691 Td [(x)]TJ/F10 6.9738 Tf 5.694 -1.495 Td [(i)]TJ/F14 9.9626 Tf 6.084 1.495 Td [(\040)]TJ/F11 9.9626 Tf 12.73 0 Td [(scatter)]TJ/F8 9.9626 Tf 30.853 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(g)-36(l)-20(ob)]TJ +/F30 9.9626 Tf 400.89 658.308 Td [(type)]TJ/F8 9.9626 Tf 20.921 0 Td [(;)-293(this)]TJ -297.009 -11.955 Td [(is)-333(only)-334(allo)28(w)28(ed)-333(when)-334(lo)-27(c)]TJ ET q -1 0 0 1 362.838 651.89 cm +1 0 0 1 231.17 646.552 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F11 9.9626 Tf 365.827 651.691 Td [(x)]TJ/F8 9.9626 Tf 5.693 0 Td [(\051)]TJ -220.815 -22.017 Td [(where:)]TJ -0 g 0 G -/F11 9.9626 Tf 0 -20.072 Td [(g)-36(l)-19(o)-1(b)]TJ +/F8 9.9626 Tf 234.159 646.353 Td [(x)-333(is)-334(of)-333(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 52.359 0 Td [(psb)]TJ ET q -1 0 0 1 168.775 609.801 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 302.837 646.552 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F11 9.9626 Tf 172.212 609.602 Td [(x)]TJ -0 g 0 G -/F8 9.9626 Tf 10.675 0 Td [(is)-333(the)-334(global)-333(matrix)]TJ/F11 9.9626 Tf 88.917 0 Td [(g)-36(l)-20(ob)]TJ +/F30 9.9626 Tf 305.975 646.353 Td [(T)]TJ ET q -1 0 0 1 289.785 609.801 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 311.833 646.552 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F11 9.9626 Tf 292.773 609.602 Td [(x)]TJ/F7 6.9738 Tf 5.694 -1.495 Td [(1:)]TJ/F10 6.9738 Tf 6.227 0 Td [(m;)]TJ/F7 6.9738 Tf 9.436 0 Td [(1:)]TJ/F10 6.9738 Tf 6.226 0 Td [(n)]TJ -0 g 0 G -/F11 9.9626 Tf -169.651 -18.627 Td [(l)-20(oc)]TJ +/F30 9.9626 Tf 314.971 646.353 Td [(vect)]TJ ET q -1 0 0 1 163.701 589.679 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 336.52 646.552 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F11 9.9626 Tf 167.139 589.48 Td [(x)]TJ/F10 6.9738 Tf 5.693 -1.494 Td [(i)]TJ -0 g 0 G -/F8 9.9626 Tf 8.299 1.494 Td [(is)-333(the)-334(lo)-27(cal)-334(p)-28(or)1(tion)-334(of)-333(global)-333(dense)-334(matrix)-333(on)-333(pro)-28(cess)]TJ/F11 9.9626 Tf 234.703 0 Td [(i)]TJ/F8 9.9626 Tf 3.433 0 Td [(.)]TJ -0 g 0 G -/F11 9.9626 Tf -268.562 -20.122 Td [(scatter)]TJ +/F30 9.9626 Tf 339.658 646.353 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 35.834 0 Td [(is)-333(the)-334(scatter)-333(function.)]TJ +/F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G +/F27 9.9626 Tf -260.685 -19.925 Td [(On)-383(Return)]TJ 0 g 0 G 0 g 0 G + 0 -19.926 Td [(lo)-32(c)]TJ ET q -1 0 0 1 228.797 549.037 cm -[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S +1 0 0 1 114.904 606.702 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F11 9.9626 Tf 234.775 540.469 Td [(x)]TJ/F10 6.9738 Tf 5.694 -1.494 Td [(i)]TJ/F11 9.9626 Tf 3.317 1.494 Td [(;)-167(y)]TJ/F27 9.9626 Tf 111.399 0 Td [(Subroutine)]TJ +/F27 9.9626 Tf 118.341 606.502 Td [(x)]TJ +0 g 0 G +/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.118 0 Td [(g)-36(l)-19(o)-1(b)]TJ ET q -1 0 0 1 228.797 536.683 cm -[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S +1 0 0 1 323.467 606.702 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 234.775 528.116 Td [(In)28(teger)-9028(psb)]TJ +/F11 9.9626 Tf 326.456 606.502 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -207.348 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)27(o)-254(arra)27(y)-254(or)-255(an)-255(ob)-55(jec)-1(t)-254(of)-255(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 244.743 0 Td [(psb)]TJ ET q -1 0 0 1 370.782 528.315 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 385.864 558.881 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F8 9.9626 Tf 373.771 528.116 Td [(scatter)]TJ -138.996 -11.956 Td [(Short)-333(Precision)-334(Real)-3102(psb)]TJ +/F30 9.9626 Tf 389.002 558.682 Td [(T)]TJ ET q -1 0 0 1 370.782 516.36 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 394.86 558.881 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F8 9.9626 Tf 373.771 516.16 Td [(scatter)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Real)-3314(psb)]TJ +/F30 9.9626 Tf 397.998 558.682 Td [(vect)]TJ ET q -1 0 0 1 370.782 504.404 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 419.547 558.881 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F8 9.9626 Tf 373.771 504.205 Td [(scatter)]TJ -138.996 -11.955 Td [(Short)-333(Precision)-334(Complex)-1200(psb)]TJ +/F30 9.9626 Tf 422.685 558.682 Td [(type)]TJ +0 g 0 G +/F8 9.9626 Tf -297.883 -11.955 Td [(con)28(taining)-333(n)27(um)28(b)-28(ers)-333(of)-333(the)-334(t)28(yp)-28(e)-333(indicated)-333(in)-333(T)83(able)]TJ +0 0 1 rg 0 0 1 RG + [-333(17)]TJ +0 g 0 G + [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -19.926 Td [(info)]TJ +0 g 0 G +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ +0 g 0 G + 141.968 -388.543 Td [(57)]TJ +0 g 0 G ET -q -1 0 0 1 370.782 492.449 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q +endstream +endobj +1188 0 obj << +/Length 6539 +>> +stream +0 g 0 G +0 g 0 G BT -/F8 9.9626 Tf 373.771 492.25 Td [(scatter)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ +/F16 14.3462 Tf 150.705 706.129 Td [(6)-1125(Data)-375(managemen)31(t)-375(routines)]TJ/F16 11.9552 Tf 0 -23.814 Td [(psb)]TJ ET q -1 0 0 1 370.782 480.494 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 171.761 682.515 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F8 9.9626 Tf 373.771 480.295 Td [(scatter)]TJ +/F16 11.9552 Tf 175.796 682.315 Td [(cdall)-375(|)-375(Allo)-31(cates)-375(a)-375(comm)31(unication)-375(descriptor)]TJ +0 g 0 G +0 g 0 G +/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_cdall\050icontxt,)-525(desc_a,)-525(info,mg=mg,parts=parts\051)]TJ 0 -11.955 Td [(call)-525(psb_cdall\050icontxt,)-525(desc_a,)-525(info,vg=vg,[mg=mg,flag=flag]\051)]TJ 0 -11.955 Td [(call)-525(psb_cdall\050icontxt,)-525(desc_a,)-525(info,vl=vl,[nl=nl,globalcheck=.true.,lidx=lidx]\051)]TJ 0 -11.955 Td [(call)-525(psb_cdall\050icontxt,)-525(desc_a,)-525(info,nl=nl\051)]TJ 0 -11.956 Td [(call)-525(psb_cdall\050icontxt,)-525(desc_a,)-525(info,mg=mg,repl=.true.\051)]TJ/F8 9.9626 Tf 14.944 -20.107 Td [(This)-314(subroutine)-314(initializes)-315(th)1(e)-315(comm)28(unication)-314(descriptor)-314(ass)-1(o)-27(ciated)-315(with)-314(an)]TJ -14.944 -11.955 Td [(index)-326(space.)-442(One)-326(of)-326(the)-327(op)1(tional)-327(argu)1(m)-1(en)28(ts)]TJ/F30 9.9626 Tf 193.679 0 Td [(parts)]TJ/F8 9.9626 Tf 26.152 0 Td [(,)]TJ/F30 9.9626 Tf 6.031 0 Td [(vg)]TJ/F8 9.9626 Tf 10.461 0 Td [(,)]TJ/F30 9.9626 Tf 6.031 0 Td [(vl)]TJ/F8 9.9626 Tf 10.46 0 Td [(,)]TJ/F30 9.9626 Tf 6.031 0 Td [(nl)]TJ/F8 9.9626 Tf 13.71 0 Td [(or)]TJ/F30 9.9626 Tf 12.133 0 Td [(repl)]TJ/F8 9.9626 Tf 24.17 0 Td [(m)28(ust)-326(b)-28(e)]TJ -308.858 -11.955 Td [(sp)-28(eci\014ed,)-333(thereb)28(y)-334(c)28(ho)-28(osing)-333(the)-333(sp)-28(eci\014c)-333(initialization)-334(strategy)84(.)]TJ +0 g 0 G +/F27 9.9626 Tf 0 -18.477 Td [(On)-383(En)32(try)]TJ +0 g 0 G +0 g 0 G + 0 -19.201 Td [(T)32(yp)-32(e:)]TJ +0 g 0 G +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +0 g 0 G +/F27 9.9626 Tf -33.797 -19.201 Td [(icon)32(txt)]TJ +0 g 0 G +/F8 9.9626 Tf 39.989 0 Td [(the)-333(comm)27(unication)-333(con)28(text.)]TJ -15.082 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -57.707 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.081 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-1(n)-333(in)28(teger)-333(v)55(alue.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -19.201 Td [(vg)]TJ +0 g 0 G +/F8 9.9626 Tf 16.757 0 Td [(Data)-333(allo)-28(cation:)-444(eac)27(h)-333(index)]TJ/F11 9.9626 Tf 123.564 0 Td [(i)]TJ/F14 9.9626 Tf 6.2 0 Td [(2)-278(f)]TJ/F8 9.9626 Tf 14.39 0 Td [(1)]TJ/F11 9.9626 Tf 6.642 0 Td [(:)-167(:)-166(:)-167(mg)]TJ/F14 9.9626 Tf 27.14 0 Td [(g)]TJ/F8 9.9626 Tf 8.302 0 Td [(is)-333(allo)-28(cated)-334(t)1(o)-334(pro)-28(cess)]TJ/F11 9.9626 Tf 99.267 0 Td [(v)-36(g)]TJ/F8 9.9626 Tf 10.296 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.433 0 Td [(\051.)]TJ -294.958 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -57.707 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)84(.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -19.201 Td [(\015ag)]TJ +0 g 0 G +/F8 9.9626 Tf 22.644 0 Td [(Sp)-28(eci\014es)-333(whether)-333(e)-1(n)28(tries)-333(in)]TJ/F11 9.9626 Tf 121.932 0 Td [(v)-36(g)]TJ/F8 9.9626 Tf 13.617 0 Td [(are)-333(zero-)-334(or)-333(one-based.)]TJ -133.286 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -57.707 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue)-333(0)]TJ/F11 9.9626 Tf 135.409 0 Td [(;)]TJ/F8 9.9626 Tf 4.428 0 Td [(1,)-333(default)-334(0.)]TJ +0 g 0 G +/F27 9.9626 Tf -164.744 -19.2 Td [(mg)]TJ +0 g 0 G +/F8 9.9626 Tf 20.257 0 Td [(the)-333(\050global\051)-334(n)28(um)28(b)-28(er)-333(of)-333(ro)27(ws)-333(of)-333(the)-334(probl)1(e)-1(m.)]TJ 4.65 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -57.707 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-332(as:)-444(an)-333(in)28(teger)-333(v)56(alue.)-444(I)-1(t)-332(is)-333(required)-332(if)]TJ/F30 9.9626 Tf 203.266 0 Td [(parts)]TJ/F8 9.9626 Tf 29.465 0 Td [(or)]TJ/F30 9.9626 Tf 12.198 0 Td [(repl)]TJ/F8 9.9626 Tf 24.235 0 Td [(is)-333(sp)-27(ec)-1(i)1(\014e)-1(d)1(,)]TJ -269.164 -11.955 Td [(it)-333(is)-334(optional)-333(if)]TJ/F30 9.9626 Tf 67.856 0 Td [(vg)]TJ/F8 9.9626 Tf 13.782 0 Td [(is)-333(sp)-28(eci\014ed.)]TJ +0 g 0 G +/F27 9.9626 Tf -106.545 -19.201 Td [(parts)]TJ +0 g 0 G +/F8 9.9626 Tf 30.609 0 Td [(the)-333(subroutine)-334(th)1(at)-334(de\014nes)-333(the)-333(partitioning)-334(sc)28(heme.)]TJ -5.702 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -57.707 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.081 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(subroutine.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -19.201 Td [(vl)]TJ +0 g 0 G +/F8 9.9626 Tf 14.211 0 Td [(Data)-363(allo)-28(cation:)-504(the)-363(set)-364(of)-363(global)-363(indices)]TJ/F11 9.9626 Tf 182.789 0 Td [(v)-36(l)]TJ/F8 9.9626 Tf 8.355 0 Td [(\0501)-328(:)]TJ/F11 9.9626 Tf 18.15 0 Td [(nl)]TJ/F8 9.9626 Tf 9.149 0 Td [(\051)-363(b)-28(elonging)-363(to)-363(the)-364(callin)1(g)]TJ -207.747 -11.955 Td [(pro)-28(cess.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.074 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)84(.)]TJ +0 g 0 G + 141.967 -29.888 Td [(58)]TJ +0 g 0 G ET -q -1 0 0 1 228.797 476.509 cm -[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S -Q +endstream +endobj +1193 0 obj << +/Length 6637 +>> +stream +0 g 0 G +0 g 0 G 0 g 0 G BT -/F8 9.9626 Tf 276.386 448.47 Td [(T)83(able)-333(17:)-444(Data)-334(t)28(yp)-28(es)]TJ +/F27 9.9626 Tf 99.895 706.129 Td [(nl)]TJ +0 g 0 G +/F8 9.9626 Tf 14.529 0 Td [(Data)-223(allo)-28(cation:)-389(in)-222(a)-223(generalized)-223(blo)-28(c)28(k-ro)28(w)-223(distribution)-223(the)-222(n)27(um)28(b)-28(er)-222(of)-223(indices)]TJ 10.378 -11.955 Td [(b)-28(elonging)-333(to)-333(the)-334(curren)28(t)-333(pro)-28(cess.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue.)-444(Ma)28(y)-334(b)-27(e)-334(sp)-28(eci\014ed)-333(together)-333(with)]TJ/F30 9.9626 Tf 272.479 0 Td [(vl)]TJ/F8 9.9626 Tf 10.46 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -307.846 -20.135 Td [(repl)]TJ +0 g 0 G +/F8 9.9626 Tf 24.499 0 Td [(Data)-351(allo)-28(cation:)-480(build)-351(a)-351(replicated)-351(index)-351(space)-351(\050i.e.)-498(all)-351(pro)-28(cesses)-351(o)27(wn)-351(all)]TJ 0.408 -11.955 Td [(indices\051.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -57.707 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(th)1(e)-334(logical)-333(v)55(alue)]TJ/F30 9.9626 Tf 131.784 0 Td [(.true.)]TJ +0 g 0 G +/F27 9.9626 Tf -156.691 -20.135 Td [(globalc)32(hec)32(k)]TJ +0 g 0 G +/F8 9.9626 Tf 61.948 0 Td [(Data)-333(allo)-28(cation:)-445(d)1(o)-334(global)-333(c)28(hec)27(ks)-333(on)-333(the)-334(lo)-27(cal)-334(index)-333(lists)]TJ/F30 9.9626 Tf 250.201 0 Td [(vl)]TJ/F8 9.9626 Tf -287.242 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -57.707 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(logical)-333(v)55(alue,)-333(default:)]TJ/F30 9.9626 Tf 163.056 0 Td [(.true.)]TJ +0 g 0 G +/F27 9.9626 Tf -187.963 -20.135 Td [(lidx)]TJ +0 g 0 G +/F8 9.9626 Tf 23.758 0 Td [(Data)-353(allo)-28(cation:)-484(the)-353(set)-353(of)-353(lo)-28(cal)-353(indices)]TJ/F11 9.9626 Tf 176.172 0 Td [(l)-20(idx)]TJ/F8 9.9626 Tf 17.48 0 Td [(\0501)-311(:)]TJ/F11 9.9626 Tf 17.814 0 Td [(nl)]TJ/F8 9.9626 Tf 9.149 0 Td [(\051)-353(to)-353(b)-28(e)-353(assigned)-353(to)-353(the)]TJ -219.466 -11.955 Td [(global)-333(indices)]TJ/F11 9.9626 Tf 62.045 0 Td [(v)-36(l)]TJ/F8 9.9626 Tf 8.355 0 Td [(.)]TJ -70.4 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)84(.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -22.127 Td [(On)-383(Return)]TJ 0 g 0 G 0 g 0 G -/F27 9.9626 Tf -124.304 -31.973 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.99 0 Td [(p)-148(s)-149(b)]TJ + 0 -20.135 Td [(desc)]TJ ET q -1 0 0 1 202.107 416.697 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 121.81 376.512 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F8 9.9626 Tf 206.575 416.497 Td [(s)-149(c)-148(a)-149(t)-148(t)-148(e)-149(r)-254(\050)-215(g)-110(l)-110(o)-110(b)]TJ +/F27 9.9626 Tf 125.247 376.313 Td [(a)]TJ +0 g 0 G +/F8 9.9626 Tf 10.551 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 276.66 416.697 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 312.036 328.692 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F8 9.9626 Tf 280.744 416.497 Td [(x)-381(,)-888(l)-127(o)-127(c)]TJ +/F30 9.9626 Tf 315.174 328.492 Td [(desc)]TJ ET q -1 0 0 1 317.987 416.697 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 336.723 328.692 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F8 9.9626 Tf 322.243 416.497 Td [(x)-415(,)-874(d)-113(e)-112(s)-113(c)]TJ +/F30 9.9626 Tf 339.861 328.492 Td [(type)]TJ +0 g 0 G +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -260.887 -20.135 Td [(info)]TJ +0 g 0 G +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ/F16 11.9552 Tf -24.907 -22.128 Td [(Notes)]TJ +0 g 0 G +/F8 9.9626 Tf 12.177 -20.082 Td [(1.)]TJ +0 g 0 G + [-500(One)-241(of)-241(the)-240(optional)-241(argumen)28(ts)]TJ/F30 9.9626 Tf 144.914 0 Td [(parts)]TJ/F8 9.9626 Tf 26.152 0 Td [(,)]TJ/F30 9.9626 Tf 5.351 0 Td [(vg)]TJ/F8 9.9626 Tf 10.461 0 Td [(,)]TJ/F30 9.9626 Tf 5.351 0 Td [(vl)]TJ/F8 9.9626 Tf 10.46 0 Td [(,)]TJ/F30 9.9626 Tf 5.351 0 Td [(nl)]TJ/F8 9.9626 Tf 12.86 0 Td [(or)]TJ/F30 9.9626 Tf 11.283 0 Td [(repl)]TJ/F8 9.9626 Tf 23.32 0 Td [(m)28(ust)-241(b)-28(e)-241(sp)-27(e)-1(ci\014)1(e)-1(d)1(,)]TJ -242.773 -11.956 Td [(thereb)28(y)-334(c)28(ho)-28(osing)-333(the)-333(initialization)-333(strategy)-334(as)-333(follo)28(ws:)]TJ +0 g 0 G +/F27 9.9626 Tf 0 -20.135 Td [(parts)]TJ +0 g 0 G +/F8 9.9626 Tf 30.609 0 Td [(In)-337(this)-338(case)-338(w)28(e)-337(ha)28(v)27(e)-337(a)-338(subroutine)-337(sp)-28(ecifying)-337(the)-338(mapping)-337(b)-28(et)28(w)28(een)]TJ -8.691 -11.955 Td [(global)-225(indices)-225(and)-225(pro)-28(cess/lo)-27(c)-1(al)-225(i)1(ndex)-225(pairs.)-409(If)-225(this)-225(optional)-225(ar)1(gume)-1(n)28(t)]TJ 0 -11.955 Td [(is)-316(sp)-28(eci\014ed,)-320(then)-316(it)-317(is)-316(mandatory)-316(to)-317(sp)-28(ecify)-316(the)-316(argumen)28(t)]TJ/F30 9.9626 Tf 251.562 0 Td [(mg)]TJ/F8 9.9626 Tf 13.613 0 Td [(as)-316(w)27(ell.)]TJ -265.175 -11.955 Td [(The)-333(subroutine)-334(m)28(ust)-333(conform)-333(to)-334(the)-333(follo)28(wing)-334(in)28(terface:)]TJ +0 g 0 G +0 g 0 G +/F30 9.9626 Tf 10.461 -18.09 Td [(interface)]TJ 15.691 -11.955 Td [(subroutine)-525(psb_parts\050glob_index,mg,np,pv,nv\051)]TJ +0 g 0 G +/F8 9.9626 Tf 93.898 -29.888 Td [(59)]TJ +0 g 0 G ET -q -1 0 0 1 366.519 416.697 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q +endstream +endobj +1199 0 obj << +/Length 10049 +>> +stream +0 g 0 G +0 g 0 G BT -/F8 9.9626 Tf 370.63 416.497 Td [(a)-386(,)-888(i)-127(n)-127(f)-127(o)-415(,)-885(r)-123(o)-124(o)-124(t)-230(\051)]TJ/F27 9.9626 Tf -218.548 -11.955 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.99 0 Td [(p)-148(s)-149(b)]TJ +/F30 9.9626 Tf 234.142 706.129 Td [(integer,)-525(intent)-525(\050in\051)-1050(::)-525(glob_index,np,mg)]TJ 0 -11.955 Td [(integer,)-525(intent)-525(\050out\051)-525(::)-525(nv,)-525(pv\050*\051)]TJ -10.461 -11.955 Td [(end)-525(subroutine)-525(psb_parts)]TJ -15.691 -11.956 Td [(end)-525(interface)]TJ/F8 9.9626 Tf -10.461 -17.586 Td [(The)-333(input)-334(argumen)28(ts)-333(are:)]TJ +0 g 0 G +/F27 9.9626 Tf 0 -15.594 Td [(glob)]TJ ET q -1 0 0 1 202.107 404.741 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 219.221 637.283 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F8 9.9626 Tf 206.575 404.542 Td [(s)-149(c)-148(a)-149(t)-148(t)-148(e)-149(r)-254(\050)-215(g)-110(l)-110(o)-110(b)]TJ +/F27 9.9626 Tf 222.658 637.083 Td [(index)]TJ +0 g 0 G +/F8 9.9626 Tf 32.192 0 Td [(The)-333(global)-334(index)-333(to)-333(b)-28(e)-333(mapp)-28(ed;)]TJ +0 g 0 G +/F27 9.9626 Tf -57.321 -13.774 Td [(np)]TJ +0 g 0 G +/F8 9.9626 Tf 17.712 0 Td [(The)-333(n)27(u)1(m)27(b)-27(e)-1(r)-333(of)-333(pro)-28(cesses)-333(in)-334(the)-333(mapping;)]TJ +0 g 0 G +/F27 9.9626 Tf -17.712 -13.774 Td [(mg)]TJ +0 g 0 G +/F8 9.9626 Tf 20.258 0 Td [(The)-333(total)-334(n)28(um)28(b)-28(er)-333(of)-333(global)-334(ro)28(ws)-333(in)-334(th)1(e)-334(mapping;)]TJ -20.258 -15.594 Td [(The)-333(output)-334(argumen)28(ts)-333(are:)]TJ +0 g 0 G +/F27 9.9626 Tf 0 -15.594 Td [(n)32(v)]TJ +0 g 0 G +/F8 9.9626 Tf 17.075 0 Td [(The)-333(n)27(um)28(b)-28(er)-333(of)-333(en)28(tries)-334(in)]TJ/F30 9.9626 Tf 111.637 0 Td [(pv)]TJ/F8 9.9626 Tf 10.461 0 Td [(;)]TJ +0 g 0 G +/F27 9.9626 Tf -139.173 -13.774 Td [(p)32(v)]TJ +0 g 0 G +/F8 9.9626 Tf 17.075 0 Td [(A)-481(v)28(ector)-481(con)28(taining)-481(the)-481(indi)1(c)-1(es)-480(of)-481(the)-481(pro)-28(cesses)-481(to)-481(whic)28(h)-481(the)]TJ 1.555 -11.955 Td [(global)-468(index)-468(should)-468(b)-28(e)-468(assigend;)-536(eac)28(h)-468(en)28(try)-468(m)28(ust)-469(satisfy)-468(0)]TJ/F14 9.9626 Tf 270.508 0 Td [(\024)]TJ/F11 9.9626 Tf -270.508 -11.956 Td [(pv)]TJ/F8 9.9626 Tf 10.199 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)]TJ/F11 9.9626 Tf 8.603 0 Td [(<)-475(np)]TJ/F8 9.9626 Tf 23.47 0 Td [(;)-511(i)1(f)]TJ/F11 9.9626 Tf 18.163 0 Td [(nv)-511(>)]TJ/F8 9.9626 Tf 28.373 0 Td [(1)-451(w)27(e)-451(ha)28(v)27(e)-451(an)-452(in)1(dex)-452(assigned)-451(to)-452(m)28(ultiple)]TJ -96.115 -11.955 Td [(pro)-28(cesses,)-333(i.e.)-445(w)28(e)-333(ha)27(v)28(e)-333(an)-333(o)27(v)28(erlap)-333(among)-334(t)1(he)-334(sub)-28(domains.)]TJ +0 g 0 G +/F27 9.9626 Tf -40.548 -15.594 Td [(vg)]TJ +0 g 0 G +/F8 9.9626 Tf 16.757 0 Td 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51.254 0 Td [(and)]TJ/F30 9.9626 Tf 20.232 0 Td [(local)]TJ/F8 9.9626 Tf 30.333 0 Td [(in)]TJ -288.584 -11.955 Td [(calls)-333(to)]TJ/F30 9.9626 Tf 34.371 0 Td [(psb_spins)]TJ/F8 9.9626 Tf 50.394 0 Td [(and)]TJ/F30 9.9626 Tf 19.372 0 Td [(psb_geins)]TJ/F8 9.9626 Tf 47.073 0 Td [(;)-333(see)-334(also)-333(sec.)]TJ +0 0 1 rg 0 0 1 RG + [-334(2.3.1)]TJ +0 g 0 G + [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -173.128 -15.593 Td [(nl)]TJ +0 g 0 G +/F8 9.9626 Tf 14.529 0 Td [(If)-307(this)-308(argumen)28(t)-307(is)-308(sp)-28(eci\014ed)-307(alone)-308(\050i.e.)-435(without)]TJ/F30 9.9626 Tf 206.41 0 Td [(vl)]TJ/F8 9.9626 Tf 10.461 0 Td [(\051)-307(the)-308(result)-307(is)-308(a)-307(gen-)]TJ -209.482 -11.956 Td [(eralized)-313(ro)27(w-blo)-27(c)27(k)-313(distribution)-313(in)-314(whic)28(h)-313(eac)27(h)-313(pro)-28(cess)]TJ/F11 9.9626 Tf 232.18 0 Td [(I)]TJ/F8 9.9626 Tf 8.284 0 Td [(gets)-313(as)-1(signed)]TJ -240.464 -11.955 Td [(a)-333(consecutiv)27(e)-333(c)28(h)28(unk)-334(of)]TJ/F11 9.9626 Tf 101.342 0 Td [(N)]TJ/F10 6.9738 Tf 8.005 -1.494 Td [(I)]TJ/F8 9.9626 Tf 7.338 1.494 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(nl)]TJ/F8 9.9626 Tf 12.47 0 Td [(global)-333(indices.)]TJ +0 g 0 G +/F27 9.9626 Tf -161.589 -15.593 Td [(repl)]TJ +0 g 0 G +/F8 9.9626 Tf 24.498 0 Td [(This)-239(argumen)28(ts)-240(sp)-27(e)-1(ci\014es)-239(to)-239(replicate)-239(all)-239(indices)-240(on)-239(all)-239(pro)-28(cesses.)-413(This)]TJ -2.58 -11.956 Td [(is)-312(a)-311(sp)-28(ecial)-312(purp)-27(ose)-312(data)-312(allo)-27(cation)-312(that)-311(is)-312(useful)-312(in)-311(the)-312(construction)]TJ 0 -11.955 Td [(of)-333(some)-334(m)28(ultilev)28(el)-334(p)1(rec)-1(on)1(ditioners.)]TJ +0 g 0 G + -34.648 -19.579 Td [(2.)]TJ +0 g 0 G + [-500(On)-333(exit)-334(from)-333(this)-333(routine)-333(the)-334(descriptor)-333(is)-333(in)-334(the)-333(build)-333(state.)]TJ +0 g 0 G + 154.698 -29.888 Td [(60)]TJ +0 g 0 G ET -q -1 0 0 1 276.66 404.741 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q +endstream +endobj +1204 0 obj << +/Length 2660 +>> +stream +0 g 0 G +0 g 0 G +0 g 0 G BT -/F8 9.9626 Tf 280.744 404.542 Td [(x)-381(,)-888(l)-127(o)-127(c)]TJ +/F8 9.9626 Tf 112.072 706.129 Td [(3.)]TJ +0 g 0 G + [-500(Calling)-339(the)-339(routine)-339(with)]TJ/F30 9.9626 Tf 121.471 0 Td [(vg)]TJ/F8 9.9626 Tf 13.839 0 Td [(or)]TJ/F30 9.9626 Tf 12.262 0 Td [(parts)]TJ/F8 9.9626 Tf 29.53 0 Td [(implies)-339(that)-339(ev)28(ery)-340(pr)1(o)-28(cess)-340(will)-339(scan)]TJ -164.372 -11.955 Td [(the)-333(en)27(tire)-333(index)-333(space)-334(to)-333(\014gure)-333(out)-333(the)-334(lo)-28(cal)-333(indices.)]TJ +0 g 0 G + -12.73 -19.926 Td [(4.)]TJ +0 g 0 G + [-500(Ov)28(erlapp)-28(ed)-333(indices)-334(are)-333(p)-28(ossible)-333(with)-333(b)-28(oth)]TJ/F30 9.9626 Tf 199.198 0 Td [(parts)]TJ/F8 9.9626 Tf 29.472 0 Td [(and)]TJ/F30 9.9626 Tf 19.372 0 Td [(vl)]TJ/F8 9.9626 Tf 13.782 0 Td [(in)28(v)28(o)-28(cations.)]TJ +0 g 0 G + -261.824 -19.925 Td [(5.)]TJ +0 g 0 G + 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[(a)-235(string)-235(that)-235(de\014nes)-236(th)1(e)-236(iterativ)28(e)-235(metho)-28(d)-235(to)-235(b)-28(e)-235(used.)-412(Supp)-27(orted)-235(v)55(alues)]TJ -18.105 -11.955 Td [(are:)]TJ +0 g 0 G +/F27 9.9626 Tf 0 -18.984 Td [(CG:)]TJ +0 g 0 G +/F8 9.9626 Tf 25.446 0 Td [(the)-333(Conjugate)-334(Gradien)28(t)-333(metho)-28(d;)]TJ +0 g 0 G +/F27 9.9626 Tf -25.446 -14.998 Td [(CGS:)]TJ +0 g 0 G +/F8 9.9626 Tf 31.811 0 Td [(the)-333(Conjugate)-334(Gradien)28(t)-333(Stabilized)-333(metho)-28(d;)]TJ +0 g 0 G +/F27 9.9626 Tf -31.811 -14.999 Td [(BICG:)]TJ +0 g 0 G +/F8 9.9626 Tf 37.941 0 Td [(the)-333(Bi-Conjugate)-334(Gradien)28(t)-333(metho)-28(d;)]TJ +0 g 0 G +/F27 9.9626 Tf -37.941 -14.999 Td [(BICGST)96(AB:)]TJ +0 g 0 G +/F8 9.9626 Tf 68.133 0 Td [(the)-333(Bi-Conjugate)-334(Gradien)28(t)-333(Stabilized)-333(metho)-28(d;)]TJ +0 g 0 G +/F27 9.9626 Tf -68.133 -14.999 Td [(BICGST)96(ABL:)]TJ +0 g 0 G +/F8 9.9626 Tf 75.024 0 Td [(the)-222(Bi-Conjugate)-222(Gradien)27(t)-222(Stabilized)-222(metho)-28(d)-222(with)-222(restart-)]TJ -53.106 -11.955 Td [(ing;)]TJ +0 g 0 G +/F27 9.9626 Tf -21.918 -14.999 Td [(R)32(GMRES:)]TJ +0 g 0 G +/F8 9.9626 Tf 58.807 0 Td [(the)-333(Generalized)-334(Minimal)-333(Residual)-333(metho)-28(d)-333(with)-334(restarting.)]TJ +0 g 0 G +/F27 9.9626 Tf -83.714 -18.984 Td [(a)]TJ +0 g 0 G +/F8 9.9626 Tf 10.551 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(sparse)-333(matrix)]TJ/F11 9.9626 Tf 178.968 0 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(.)]TJ -172.084 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG 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Tf 376.751 522.36 Td [(vect)]TJ +/F30 9.9626 Tf 315.174 187.13 Td [(prec)]TJ ET q -1 0 0 1 398.3 522.559 cm +1 0 0 1 336.723 187.329 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 401.438 522.36 Td [(type)]TJ +/F30 9.9626 Tf 339.861 187.13 Td [(type)]TJ 0 g 0 G /F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -322.464 -19.926 Td [(desc)]TJ +/F27 9.9626 Tf -260.887 -18.984 Td [(b)]TJ +0 g 0 G +/F8 9.9626 Tf 11.347 0 Td [(The)-333(RHS)-334(v)28(ector.)]TJ 13.56 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-333(arra)27(y)-333(or)-333(an)-334(ob)-55(ject)-333(of)-334(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 223.496 0 Td [(psb)]TJ ET q -1 0 0 1 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[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 370.026 466.569 Td [(type)]TJ +/F30 9.9626 Tf 401.438 120.326 Td [(type)]TJ 0 g 0 G /F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -291.052 -19.925 Td [(trans)]TJ -0 g 0 G -/F8 9.9626 Tf 30.609 0 Td [(Scop)-28(e:)]TJ -5.702 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(c)28(haracter.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.907 -19.925 Td [(w)32(ork)]TJ + -158.08 -29.888 Td [(133)]TJ 0 g 0 G -/F8 9.9626 Tf 29.432 0 Td [(an)-333(optional)-333(w)27(ork)-333(space)-333(Scop)-28(e:)]TJ/F27 9.9626 Tf 135.962 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -140.487 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 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'Kn`4Q9 . `3oh~Fq;zJ50EPX*ƚQ 㗘k4]aҡpM9\l[Z)uƔT\0kebIA;/{c Jn^GkgQ0Y'ISD;A39 h?ݦbJU5zw jpJBUY{e#Fws@rISp^YoZ|5h2*لEA4W?|PCx' А4 +v0U'J#oqӉY%egg|* )SZo8r;8Wlv"r`UkL==~V +X` +UvSw;8wwH_,^~q\3[l&8E};`Zګ)HZ/I ;3w +h$j/z/^,_C~A7kpRhbK0sQrI;YD4u-:p׼V1y&EF#RdȷnfNEzfL)3xg23) +pEY%NXA@WQQ X$r d7UmwK6+2a,n9VbA:)48z>Im8XCهLFʺߦkg'f 2 z?qe3?-&1VKl/>4(5p,Jr6`pԚd׌^d';@8]mB̾"D%i-{tx*yt:`Z]K=.;TƪXmj nѹ5&.F~P]^7FoQv3:2rHS7!S5ŷISvG0;=f/bkl9d n&CO l"*e@n!6}Zjou#|)f*,E^a(, L Ah_ȪRlgYhaƐi% )m`RDӇO4;X @4chC.4Fc|E-5 OA)R3N{o`aYUrBs-15s܏i%ZY+W;/J"u;DgI x9"rwh +Rʊ~KhR^44s7M֒kL%vOqT+ovlo\+pm\gw٧Ӡ9_8i-d) ĩ#CM# h8pU"w.WV:ʠǜOc #%^oFxEkl ȃ<6wyh[$fuq%_Cn \Ȫp#vMժd2 g jRZ,xrF8P<(F`~W/dCnǗtPf"'nLCeJ59&yۄe^OI0\^PKGd@2ʨ󌱇lW/rZ\~ldB (#o}HZswHo܆0%oE=pdK)d/gYR[+7! nIw8 MF'/`6-d9Wt{`>P)$w>]{ _JJ[|aJЪCWk΢gLs 1/U wwKOwZoYz8gʟ821ZYYK%UW`ߤlP`B?1e1 t߭c`jD]< j#Sk@_6&"|  135~j5jag+PCTo+LxI@UoW.0#6!$_ȧ`r{s{] + ݤ"Amөe~]i栛ox;Ģ)Ąv{ԒNˡʀ8z +D4>uqlGmt +ZбK`4ҳWL d)yZd\m:췋s0j +dɎat@әV$Kas)~$8+\[)K9+%?< $_nRnWQ-U*up4Š[i}H=`SUPa{0'QW^t>.9Nzlc [=ˆ]8D8"QL wek\/+w^8 ZLn}69α$uT[e/DjFhGČ3eWfTf!>3rn_&kJӍne mW%q*5sIsoVgoꡯ+EƿR7ll,#4~^$)Cȗ`P{R!0K?.&V퍗#fRG/0Q Spe,W4`W16 +Bo5@.{27qGiʣTjzpGrb`Bn] 5EP£*Ӝ-f?75ko2|pwleP iאI͒wsz;SfT`De/:M#,N C@Xrٓn_ʴM[H-f4#u/VNy\#x[6§4̷,.aI-D=(Ao.Q$-q 4rh!-i vfrؠ%/^ +)p*d'D_mӝ>lC~t/a$Go@ܞ+A9IcU!}pIG"RU)صJ@uІ`YϪCuJUm8*8>B +tk1@͠YlW3[>[6&pCKƣ܉f&N0]X?TpP Y,y簢)4Ubj"fhEWdjt_8 |\YNeԭ5쀬ы; 44Ye*C#JahT+vX{\6))rfESд5hsdU[YJ*L |og9w>!>C4?m/.q߉K|8R1!>ȱ:& Kkq h!ʅƝC4k<ídqaeX&Z;SRMsh><^.9٠3n5% +YLjQA4OV?r%Lxє*g0fLjl}Xl:D0_.4w-bm!xMᑘ]&(3CXjȃ;&t]zneUf^+go߁7 1eg7tX#C* :YC]>̮)MU +φhzAhHm܃_W[b+)rAH7{; Æ_}P_<|YF)D>LalUuߞJި]ȹtT~\4<+ʫTpL3? k݆q,Yȕ+`Δ6lqbUq}p+tAS9bSyI0WjK 0x'+L4&3K$ IƇ)Q6<_m0v7 K];⹙2dv]%B 6հTi"Bx|ffM@%x3[锚XJ45c3QɎKx\OnY ErTu dCojq[TD]l+2e +XF}yx` S!|_H-RBJq@(bܝƬ;NNr!'$+{TAFMcGdUlS0\3D3[̓L =NjtD6LڂX/nɢ[uw7 +!}瀈y\2j9)l%OӨ +o`wWݸ)dR~?)t PdB]8(eWm(0lzigi>~;mvOzج?Mˏ{t{RnWcÞځ߅3"dVA +UnEREN=YUA/y 5r8 ڱ>~ޟҮ--kcd1MHm2[)'1^HS&_TVvi2 )=Ƨ=g+Ӌ˽8o$,2x(kOo0ByD۠P/y*,̭";01yJr~ƜFe":J\6XU=uSXT.؅`gs}mqU|<+lgڣaB6!E)ROaj+̍]%XT3=}ygp ItDOX wNza.n ~6L8mO(,{Ec>+_ ZQynSh3=fhԱS&[} /Biư CD|È8zJ~-,I֚v $K"JX^M~4]e q7X%bIl$ioS{QAlCo'an)r!3duML5Js, jڣĉȦaU.ܼ_:̀2g%bgz=#ºxyxpb}"rQElOcCX J7>ÚUŢRUE[ncқ{L13 |’#sj@!{fyy2+6sIhQwLz_2 endstream endobj -1741 0 obj << -/Type /FontDescriptor -/FontName /GNEKJP+CMBX9 -/Flags 4 -/FontBBox [-58 -250 1195 750] -/Ascent 694 -/CapHeight 686 -/Descent -194 -/ItalicAngle 0 -/StemV 117 -/XHeight 444 -/CharSet (/a/b/c/d/e/f/g/h/i/l/n/o/r/s/t/u) -/FontFile 1740 0 R ->> endobj -1742 0 obj << -/Length1 1382 -/Length2 9380 +1750 0 obj << +/Length1 2049 +/Length2 14551 /Length3 0 -/Length 10762 +/Length 16600 >> stream -%!PS-AdobeFont-1.1: CMMI10 1.100 -%%CreationDate: 1996 Jul 23 07:53:57 -% Copyright (C) 1997 American Mathematical Society. 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All Rights Reserved) readonly def +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def +/FontName /ZUYGVH+CMMI7 def +/FontBBox {-1 -250 1171 750 }readonly def +/UniqueID 5087382 def +/PaintType 0 def +/FontInfo 10 dict dup begin +/version (003.002) readonly def +/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050\051, with Reserved Font Name CMMI7.) readonly def /FullName (CMMI7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def +/UnderlinePosition -100 def +/UnderlineThickness 50 def +/ascent 750 def end readonly def -/FontName /ZUYGVH+CMMI7 def -/PaintType 0 def -/FontType 1 def -/FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 72 /H put @@ -21273,55 +22517,78 @@ dup 107 /k put dup 109 /m put dup 110 /n put readonly def -/FontBBox{0 -250 1171 750}readonly def currentdict end currentfile eexec -oc;j~EЪ)s̾;.;rTejiK/df5A|{S/ )Sc\^ȟmp+#vL17~k d# -]LeVߐGoo٥\k 9Mv92#:iQ?.n>%jzGm >NjS])7uևUQh4)-×p#z{8YаGP9 )"Pƣ3ГzYYZgp_PC߬CܔDC'<|(Rl/IxXMYzntԟlAv)|*iQP3|TxL" ʃ?Aw·pҋ:r)6,N{?JoA剳Js(0T9$ն''0j%&4LwQcKHpY Bֶ6$bZXZmX>B#9xҥ6IUJeG#݆>@P1o(ߋUcCо"[D.)>;@Ly³ NBXP{TQA<TEbjVEֹu{!br|]G.eset&an/1x ik1yU.c9sZSd8q7 >7ƣf:pa.$W<xϧ zF7d>i*ðϹNeS"U!;>kT߅ aZ Цˡ^2C΂Kd ՜CDVW܂'mHkR+uݥ .#.<$%iUyE^LHLz=hw2"/OxʌT2ψߟ(E֌Y峽u>>3dLZXŹ%sи-3P&;@ٓ6GbE{%{˽v*Bᕦ>T*!c:?IWAU^\&eV?v|$b»=YN%O*ˌ;Ʈ}f. M47z\X}iszዖFzO1)CaNs˪pƆSbܙw_hi$u}jWTהq9fKŪ;UK8[+lM#^[-hfƃ\>%c릍F:C9 [Yp/z#2H .DQKwI#; /CM1ir%(ʠ4*V[+>*jlqXs(%tX$L%֟" ɲ2. Z jٲ+>tHHq@^ۡ~$ewNm'qyÓtE΢U4mUXc`Pl#pQc+}׻ؽ:R!!SFԣ55ț*n؎>[? u qo$u@2~ŞJKwD_J*a>Z"a̱0ܔ˞Ak l<^/j@SycKj_";ԹS\VP݅oQe@֢%aLuFw2nw OB-PL,G&Ř1.[z}](]NjH'm9sI'DI"A_ u~i#ӚX"Hҵ#RjF~g!ՒDW!LG ,ۇkj<a(7!kX**%e Ws5Ezx[#e%DFP7܎1w0DK ia=Fl ed>JƗ.ܟ&k䍁V#+L\jX; JiK e7TF$5£߼Ny5 -pM_qtЉ89<ҍ%FITqxCkA?=f&^Lq[5o -a,̭-TqszL%t V~989}osV܁C,sqb:-7ҭHM1f UyHtO:=I= JʸFn7 *U?Oɛ" ȍP^dB:yТ)d ݛ\EJ& cnNoՌ h, ӼR1`RET;Lo cw:mqvH?Mبڃt0@Ȉ)[ԝrψ~[4+Ll-Ɂ(R9Y}c%u΀-#+k${Ӈ~ uf˨">qiVg\UyctSB -H"0{zCKI(꫇2o PV@vZ3o` Ovw%4F0Ђg~-졞Ms ,ޒѢ[(Cc-AMMغ8_/99PR lf-d] ߭EU_~f*j ~`(ks@(YH詵{>sب9ϗQ'%¤^ ϩ'qT LB%iWl;,ƤL&[͓LY!L.Ee_CrcI"#5pl$#WŮV*^-ZHh]Md&wfoZ_xOGoV%i8z`<džS{(j.KRY#u㔦nR֔LexW2N ܸm {Y2rpFSf (5b4;2}$ +Cq^`Vx_-܂ߗp\ڥf6kEW1xnnXǣj?cB۬᠘4Nw7t4-xOK|.JH%͙6.jHi>lg&w|5CW)6v}42B>Ũq%~AO.bB!dMýKK!R\-9;Q +wL%jΓ~c0Z#bprg3jN'<;Tē-XtF! +? ˢ[2}+-P L9FfVݎ44 X)+g-ٱ*m}(UYđU^> ++JFd%:=gEMuQpVp&7[9qQoIVM2]aď (|f/FrRVv^ |ĩ-pxG?'gzl,γ#ACFYm^ @.sֺ>f!]JCGuQyCWs ð&ITF̀Je&-e$Vk% vl#'6 8 H߾A7]i׈3eYx/yf] +>q^`~'}`3(1~zRjAwua8#tNʰq$ޕSOO@y{1FūÃ)^FK}J.@4z1D3$k,0Ia8pPQrCik]qB~&\PTW\}'5 Cze<(sko9!?xїE[⒞J>&"B Sc׊}5DmDUhK1M)k)P%-/l|tcT _hhk򗇿ܑCl ai&k'0 vYok9&352X8r]61*EXk d`-sW㴑`\ҋ'!Fљf8Bfمܧ()"Q%b@q+^P6Au}P:G(jH*J}a"`R_tźG{M8D*R,%-R_ϢPzQkqM)Vt8 ^ \lKt7#]뢪xNAVDPjtQAT8a BEֹ_cR2vNlFޛU'y|E3YFo`]ps + %zD 6ӬɘZ\{D-pO<Ѻ}KQ&U / ;yezFLy%LgNڝnK#꾫_:G^)S8ȼZ#Ah)<\\&ږSv%KQ' 49$ՍHD0Yyh)(;[;y,EVJO-+i&ltit$ز ,}<[$yǟک+)(xq0K׽tt"/t/Mw +e7+dW~b(6Lj?c_j +]۽Vh=-(_^:`{?BU& 9HqU2-1cdD CR5vKEiV!;qtO%7Wzj~UgYq珎SWXKL2">9$:; `k +E5 FBjl|De: +AkN4NkcOq"8&)I@ +m(=[44qqZu0P_/٧?"u텶;@ 柊"b6(N}dV&i%*%5,.Vofc.; a/p%l *u"Mh6,6ޥQ>jfRTLŧ{sj(橫2%0ł.`o{N)eugB'b!)iPOYL^peBxҴ@y,4#**PY2 ❙ȀygT>$[X{D1t?Kv {׺jޜ"4%{C{gŪPi;TM"_<.HNUFؓψĈ0NL+/lQqX +w^WwQD]~@8~("ZU5K"5DT +iur!lF,j<XQfxC㼕X: %lɻq˸n +꾸a ZSMa8"kgCLԏ +"ϓl#9BMjX3ҭڰnE`Ts[ڟN՗ej.Du 2OQajcSd#o[]"}Ñ:*y0 }D],2OQ^E:MmXS7U&倧6hf@mųue[1.Xg@kQHNVQaTb8MJ}pp++iSSj@9֙\g7ۗJ>>Z aDرԎ@zq2ԗ9{Vk2`-ʶ5 WC!2 5BwR&,%5%"@LJαm W{8)$U?zhX {ӳ]P-k?Sp"3H SN QQub Rqs/( Mɩ#1YV}E/J4o˻Yxבi̓P_+ ?&$,:39|~wܨ.Gsi@C{25;ܮ2GUI8,bA|Z:V S|:U%pkèR=G #պ6,8fBqbh?&wOV,pM?n\kz/J|;hh3gw gh6QޒNYwRRfrۀ!(uf3ebP FM9Uk +곡gy75"Ri]Q"^l%ܲL쫙~<}uGOqE`q=d`LN*ȑm<_oeIX,'ފu)\]$-J{tXgmCcWį![^2&N+o*Um",b$@_Z١|L?zpCKAdv<ܣ w$Ma}7+MigGfrH Iޥ m[D](33"& JM^z`ݑ5! w󀅖"ꛨu:I?_񅂐`g'Ij}2Zl[x莙 ͦ,Y_ 혋_A¦M^zNLa/W +ZX4g X@6 +zqUK]p*K954~F$Y'VzV;iJ#9=*Xv -=3c @.>LXB26i[V'?qQoA +᷺' cV(-X_{]K Fݹ/0ݮC궨7վ5_`䎼P5)Գ*W ZU",~_WjSF ^BBKؐ&îm'3a:x6efEVc{n8+Iwrfw(DV֑}> /_Q)u&A][:5fD#< |i"#ٽAGU'؎XnWU.Fܲ xP XwH a KPu+/ +t妐?qnuI: װ~KJ~x|~+I w3xR~κ&Yª.Zu^Z/m˖fz?f_+up}Y5N(B^FFnS-$~u(Tj$J%N-H8_U} }FOs[z %3+[lRou<̪n. 3b25| +f;&}tu"@HDu1j+?9>o>DqN6y Kn;p9cS&܅awX0i~ο;6v_ɵ|W$=;  >do\h6zx- &= A!:`bЂBJ:Y_ ͯj$>*XqBùCauF[̀ۊ%Z H2 (F]9Cf2!9}  㣽i ̌{b՛جDS`sZ> endobj -1748 0 obj << -/Length1 2026 -/Length2 14861 +1756 0 obj << +/Length1 2670 +/Length2 23029 /Length3 0 -/Length 16887 +/Length 25699 >> stream -%!PS-AdobeFont-1.1: CMR10 1.00B -%%CreationDate: 1992 Feb 19 19:54:52 -% Copyright (C) 1997 American Mathematical Society. All Rights Reserved. +%!PS-AdobeFont-1.0: CMR10 003.002 +%%Title: CMR10 +%Version: 003.002 +%%CreationDate: Mon Jul 13 16:17:00 2009 +%%Creator: David M. Jones +%Copyright: Copyright (c) 1997, 2009 American Mathematical Society +%Copyright: (), with Reserved Font Name CMR10. +% This Font Software is licensed under the SIL Open Font License, Version 1.1. +% This license is in the accompanying file OFL.txt, and is also +% available with a FAQ at: http://scripts.sil.org/OFL. +%%EndComments +FontDirectory/CMR10 known{/CMR10 findfont dup/UniqueID known{dup +/UniqueID get 5000793 eq exch/FontType get 1 eq and}{pop false}ifelse +{save true}{false}ifelse}{false}ifelse 11 dict begin -/FontInfo 7 dict dup begin -/version (1.00B) readonly def -/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def +/FontName /KYXPCE+CMR10 def +/FontBBox {-40 -250 1009 750 }readonly def +/UniqueID 5000793 def +/PaintType 0 def +/FontInfo 9 dict dup begin +/version (003.002) readonly def +/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050\051, with Reserved Font Name CMR10.) readonly def /FullName (CMR10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def +/UnderlinePosition -100 def +/UnderlineThickness 50 def end readonly def -/FontName /KYXPCE+CMR10 def -/PaintType 0 def -/FontType 1 def -/FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 65 /A put @@ -21405,173 +22672,217 @@ dup 121 /y put dup 122 /z put dup 48 /zero put readonly def -/FontBBox{-251 -250 1009 969}readonly def currentdict end currentfile eexec -oc;j~EЪ*BgNӽ ؑlKq*޲Xws|QFqv`zXMyp"5O˩YŝP(DT![v67XFlU&3!Rq4wσ~j+ou\c3R*R?쨤ȯ@ gSr RIzE_EMv,X!%6]ަ_3+_hJإ0o'z 9K$|tV\)Z! j#ZŚz1UA~ -"p?{u@]A}s -ijB)~Ob {z;O9mT[Ğ^dUl$Wh: ?Ƃ(r6;Bt6cFCr$/;!,KqLeWuG h7IQ[u20uZ8*#qP|̖I̓pe}#YۇW{ -Hs(}CE c;[e/SmV& -i2ǡmc\0kC'sp)X0@$2jOGG9%fLJD@m2b5\cdy!iz+lxa+2S@uIY5F>qgROEowK*;/sDGǡx=>J ujLDfdžk4ؐ. -vî|1wm% QiwXDN}}x|E.gK{ T >k&յ2Ҡ^Sg,m1"7CS-ƶkDD K-syRb1ȧ!j h OVk!JEJcуvӘDI6%;>fA/j2C?)hל':QS¿j"D9JI9cA<)3k!̰#pZx7cT6]tN7[T렍(W $a8|Gsaw%e;'s]6|Ǔ7!ib_,{d)>Cow<]=(d<%! %zP圯ٝ ~ELFM]#9yzFpU9n6Pn&([,ne$Ɂ<l&&9?1{3OQC3/Ly&$O/By_\)GK\bi1!|Ԁ9`)'grKU9Ӛ8 #1[ߨ DP%<6֠)#K @"H>}Xbg* ft uac@f QgQADW* -T q^A]JFr49{)C bY/*8 :ywXR[]lWU s? 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JnPk\(f35@OBd(|$'SrW6GgWLt&ݡ5LB3h#$nwk6 a5(.sQ2荿 &>v*Aal1T śRfr<x[ KY+lZF.W:'#L#|W:Nޯ99CĀ"`־>$Fz)do*]៓$|8cjq30u" +`/hPes$\ 0c;YcrLA]7c=I˅: +"6vi'$]#erl,Kt1V'D;+dž/zo7ny sOS?GYe)uо]"i%)g!>NnE}sC7EDc3BJUDv5gGi^#97VyMxp bFhHumj1u>a*eC.%űEc˿?!cs[?axm'&\70<]4ar09϶-I5/5(/ѹF(HhIbz?3X=v.O?a(PeF4 +ubQ2[<-hu#j5o2Дkk/P`Bm89K5Z dot-rbݢJ=% LԄ UI_P= a endstream endobj -1749 0 obj << -/Type /FontDescriptor -/FontName /KYXPCE+CMR10 -/Flags 4 -/FontBBox [-251 -250 1009 969] -/Ascent 694 -/CapHeight 683 -/Descent -194 -/ItalicAngle 0 -/StemV 69 -/XHeight 431 -/CharSet (/A/B/C/D/E/F/G/H/I/J/K/L/M/N/O/P/R/S/T/U/V/W/X/a/ampersand/b/bracketleft/bracketright/c/colon/comma/d/e/eight/endash/equal/f/ff/ffi/fi/five/fl/four/g/h/hyphen/i/j/k/l/m/n/nine/o/one/p/parenleft/parenright/period/plus/q/quotedblleft/quotedblright/quoteright/r/s/semicolon/seven/six/slash/t/three/two/u/v/w/x/y/z/zero) -/FontFile 1748 0 R ->> endobj -1750 0 obj << -/Length1 769 -/Length2 1408 +1758 0 obj << +/Length1 1413 +/Length2 6286 /Length3 0 -/Length 2177 +/Length 7699 >> stream -%!PS-AdobeFont-1.1: CMR6 1.0 -%%CreationDate: 1991 Aug 20 16:39:02 -% Copyright (C) 1997 American Mathematical Society. All Rights Reserved. +%!PS-AdobeFont-1.0: CMR6 003.002 +%%Title: CMR6 +%Version: 003.002 +%%CreationDate: Mon Jul 13 16:17:00 2009 +%%Creator: David M. Jones +%Copyright: Copyright (c) 1997, 2009 American Mathematical Society +%Copyright: (), with Reserved Font Name CMR6. +% This Font Software is licensed under the SIL Open Font License, Version 1.1. +% This license is in the accompanying file OFL.txt, and is also +% available with a FAQ at: http://scripts.sil.org/OFL. +%%EndComments +FontDirectory/CMR6 known{/CMR6 findfont dup/UniqueID known{dup +/UniqueID get 5000789 eq exch/FontType get 1 eq and}{pop false}ifelse +{save true}{false}ifelse}{false}ifelse 11 dict begin -/FontInfo 7 dict dup begin -/version (1.0) readonly def -/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def +/FontName /YPSQTS+CMR6 def +/FontBBox {-20 -250 1193 750 }readonly def +/UniqueID 5000789 def +/PaintType 0 def +/FontInfo 9 dict dup begin +/version (003.002) readonly def +/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050\051, with Reserved Font Name CMR6.) readonly def /FullName (CMR6) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def +/UnderlinePosition -100 def +/UnderlineThickness 50 def end readonly def -/FontName /YPSQTS+CMR6 def -/PaintType 0 def -/FontType 1 def -/FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 49 /one put dup 51 /three put dup 50 /two put readonly def -/FontBBox{-20 -250 1193 750}readonly def currentdict end currentfile eexec -oc;j~EЪ*BgNӽ ؑlKq*޲Xws|QFqv`zXMyp"5O˩YŝP(DT![v67XFlU&3!Rq4wσ~j+ou\@[6]nhmlhaH+4/?3&n=a6E#|~.ԅˡ}_B$~\|"4Pxҍ>P% ~ߏ4q.C3s蛼q翈by?Z72z6LpHC1D"28s B -~ OPQ -O\O}';Pǂ;߉~ I;^ק`F*'nu/&o+\z~ 3M#8Z cD%aiV{t -+ -+s)l^mMV6</ 5L8Y1jA!UiMwLi>$d4ntLHm%4Cs>=wtm}qq%ı ˾3edD,d}tD `KBoŹaC!hK ^Qft>P[ &G%s[{ zF$j-Lݷ‚Ղnin:,CHoԹN/OEnxYS7]޴ &W}+u!Q:|&1C6{Ӑk2|ytIkٮ1ku"L+½a+YEo +oc;jAw-=%W)-{ru)rAE(@{빴Q|_R +ϤA -T@|q|VkJ%qu8PwGxŪ̆Q6K -U\%b"t-*xJ+ +}3{Z2zݬT2s$Z&{BJ{r̗m1l(zNRr^&%:(/IߺHm!4JxI7bs,OiOl7Ӧ!b^Ѵ-E>3t;G<;l: OSS*O?9-w yg8LsYtָE qHp0>ˇ +,qۊq mZD]7ʺOk-G_\SyGLN8g2Q}:ä|C/ɑl ѓčC2`Lu3D*Cǩ5љsLUkmH FqTfZ$|2xlڮOuxgG/|:&Nn$JEQyރ4>py'3ji.ǦX9~b0 ub;F8(PFY|DS%y=gn!QZИOi歨H,a7`_Z<gZeߟ՟q/~j'[E1 wg,Kom>M8;r CXVkg-/R@|lbC/zK_i,'1Q7^3EӪ9$Zdy]ltr=>K%a1\(t.EzW(#MN̑6~*E;ֿCa^1y5ݿ'hyf +s.8ϰ5ciG$5g0KTlp@>]fW7QGVn~˟=]Z`*~7 "ڌcw0U{Yn._xIPYQ]`MN!Xw:R;t+]gZɅ oswQU)8aA^av>xƍH_n~}StG7 K72fCi0Gm1u?4&]ژdFpmUhӲ$w\Jd8+SE=XnV%?ү֟G[4D)ҏ}<)%pD%qrkoX(&Ƕc<^ԺO;FIRCK-fjz hs+*U-\(=D[d)@%t)#ْMٗA=5N$1Qkh|)Zc׼=}6^w'eufH p!x."s!SpزvNȗy8~%_mD8ǸrɳhwWu_6[= +V]Y2?% +)/KR|e=b_0Sʖ531ؿmx> ՘OX![ؠ`vf|}R 4"~)uv E$U\W;댞K0 6$֥拐Pk?yy4<˒q=CG$ @d~A1Q8A-|߉b1`zj ۦZ\.r ~s"b]Ry&rD0hLS)z6M="'OOQk {2+$}<໒W` 1=',hkƏCfE5F]Ћynh|d/(~&PB9Cx9 + %,9OKLvH,>Ҏ,6"+DƸrhL<]A+6JJ9ۿ2jQ}bF[z'p&S*U$ؖa`RI=՞dv_\WB_5n[&UXiNcuοrvI]VI߮\S"Ivs qYpP]5||rOډccB0KV|נ40Cajps8A軝Y4-L ͯi FV{%xE_ *`LOU +ǔKGs|mJ%5ݯdAv<jா-W:,=BYme"r5tŧ>,wxI_ esxRtQeh; -[Gf҄(`*/I{w4iOa"č\%{-+`8@;dZxW'gA$vq%=@ Py_w駾{p6LMmM# +R +Y$Р쭀|6|噐ȏGI`fkqa}@tZ&'=3bIgU5eA},):ichZ:l҂ 2W#30rM$a ImvO", +:(%CMi@\[ +t=UMn[B_2_@nu?L,DWUx=u}#m6xA x^QZ+% *{ϊշr RH [*Yy0iǭ0abP7y־pvkTTR+%7!fF gGP2?S%|b%N&t:>EOYJJJZBH-!~yp̊Ҭ㠄֯d z/3j*(JP$'AT˪x"b4~4]Xպ撾99T<ԟʛKȟ9[I{P>5Ruc&(0ܪv;{3x}_%.beW2eSxD8o{ۻ}wn,WPz;+RtVX= \uBU(Cvw?H jt~DxtӃEP[x/2)+ഷʱx46IHgoE'nb\lLhcb/K}kVD u6#+9oi(gy5lS{ ZQ 0dpWg-Lbpy\z(gR6eKG=9U2ݧCH opr'FS+ U$κ h; I~Ζ:oDUEFyo;0?mP>"#Ǖ T5J!*S@M7#8&-yn95GTɄV ++WS[Om3Pmd,+ST졆kyR<$ ݀ 2a&=CԠN 97#~MT?BzR͹Qz]sTP@P G- R9Mz)3MHxV'.(s;|_OT՞X9`G $PW٤eY=fE%ԤOpdDmz]֥zK+xIVk +w:Mm4YV#⺸M]*Ǣף9t5#rm'Eeo$Κ+z8n/=?njѳ((,O2w <6Fnc1!AzVRIز+Tko9:W\v.yA5gf]?j6)xy!N5g,:2F%uE`Bxw(ݯɆ&^͂NV۞AB k+&@'јsƒ_;q(_:.:)[ ?bt.N|Pm}/u#7A"U)T\ZxH ro}o2Xa/vD3kU[+,뫲,O 4%߇$H'űC/ |,v=}醜Cy`6YP*r8%{o4c1OSB!dA6]W%gcTޟd>M2^Nj[N@*Z;#hhK7#2;Cݶ2 wC"[yDJ,#b‰ZV*7 xߘK;Дyv96I)I" $!/8o(PyRUS`<!{Ge+(CuAqlTcu[ j=E՟2C4%2+drQ/;ڑ}C`@|&cſ1IO}5& !v,+M1pp_㯎0iP͕񇐸gZ1:~i(l=kqa.1':;)]4,6uxcLAa^!L"u +ɜ~=C3[ .18jITOQ +Qy(E*>'߇߃5 h V`,vr3TT{3O_<΄D+ h3ʂpSV#u:>f`"_Bon!wN y/C5rb?7@?+V5خ +B6oYq^5Zp r,B^:NJ07Aϊߧrէ}E4zAWr%`HpZp={o.{#'uMTÕ[gI{dLAN }be/F? A]buvqݓ[3<4MBTparN[0O4\ۤ识BoƸF >'dnxN#ik_Aޛճs#;w͑2]&o$c`dyjJ8Xs@S! SVG]2a|C0,lRϼ;c~cЇ_ [6O&؝WcD^s7rPmQ؁9裭vb. +92),UOLkޖħb/#{A8SGL_䭔:OnW{־"R""(Nk'csۍsfdcCMQdfb\ec5NKKe`4n}$?Qh/JʶMqSyHOSٓa0pycSv"A̗ 1KHTaLX@7V.ⷨl|5;.8y|r[H1#!k i,(=Л@uvS1/!oC=-˳7=uj +$:D(LW|#@8p>gcEYz_יUKt􎰝(LO*x{> endobj -1752 0 obj << -/Length1 787 -/Length2 1497 +1760 0 obj << +/Length1 1431 +/Length2 6603 /Length3 0 -/Length 2284 +/Length 8034 >> stream -%!PS-AdobeFont-1.1: CMR7 1.0 -%%CreationDate: 1991 Aug 20 16:39:21 -% Copyright (C) 1997 American Mathematical Society. All Rights Reserved. +%!PS-AdobeFont-1.0: CMR7 003.002 +%%Title: CMR7 +%Version: 003.002 +%%CreationDate: Mon Jul 13 16:17:00 2009 +%%Creator: David M. Jones +%Copyright: Copyright (c) 1997, 2009 American Mathematical Society +%Copyright: (), with Reserved Font Name CMR7. +% This Font Software is licensed under the SIL Open Font License, Version 1.1. +% This license is in the accompanying file OFL.txt, and is also +% available with a FAQ at: http://scripts.sil.org/OFL. +%%EndComments +FontDirectory/CMR7 known{/CMR7 findfont dup/UniqueID known{dup +/UniqueID get 5000790 eq exch/FontType get 1 eq and}{pop false}ifelse +{save true}{false}ifelse}{false}ifelse 11 dict begin -/FontInfo 7 dict dup begin -/version (1.0) readonly def -/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def +/FontName /EWABFK+CMR7 def +/FontBBox {-27 -250 1122 750 }readonly def +/UniqueID 5000790 def +/PaintType 0 def +/FontInfo 9 dict dup begin +/version (003.002) readonly def +/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050\051, with Reserved Font Name CMR7.) readonly def /FullName (CMR7) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def +/UnderlinePosition -100 def +/UnderlineThickness 50 def end readonly def -/FontName /EWABFK+CMR7 def -/PaintType 0 def -/FontType 1 def -/FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 58 /colon put @@ -21579,57 +22890,89 @@ dup 49 /one put dup 51 /three put dup 50 /two put readonly def -/FontBBox{-27 -250 1122 750}readonly def currentdict end currentfile eexec -oc;j~EЪ*BgNӽ ؑlKq*޲Xws|QFqv`zXMyp"5O˩YŝP(DT![v67XFlU&3!Rq4wσ~j+ou\ʻl24`}IRB s\pzEGAۋa4_p0uAEG)Q|8B*dGWj'0Vix#(=@'qIT5i -(Ѵt` ?E)4E^yҴF+$8&G"Yl?eYjt+TI2! nXKt`˱~h]{>Qaiσ\mFU#Gvh2un8W;R4Ej1B4b ;b9y[lV:P񕈇9g`\J~ O>%V0 ݬ;cJԺjYrt6yql4Qo٫~o_=6xqw,",kϷo -#vI7_ fz!y(3)5*кYb#aM?3G%wG*Jx,N -R k -v`5eMT$lޅzpH{R~# 9afA@텀gAIKN| ˰2p!/xVTWw V88΄QvJ5mz}6,'Uye X@g4qGagkKݓ=-B{E -bx}Һzs7')8-XTG`9?Pe: ^3~hcxbk1!o^KWki7ݱ=3O | +oc;jAw-=%W)-{ru)rAE(@{빴Q|_R +ϤA -T@|q|VkJ%qu8PwGxŪ̆Q6K -U\%b"t-*xJ+ +}3{Z2zݬT2s$Z&{BJ{ޣ\u3]G~ 7G!/ Q FM~f/m*i("!i +K5> ţ d,J^,]^ +z* +khjOwq k&,_?Ɉc"n?W)Ջ kÖ投`Z/S *?c|Wgoʮbi8hesQiɺ4)FvP Vؐpik`j`EU)oW jBNfPTa_$ uDd3QBZSfyu4 螨x঺N<1Xk7I>%} +'T)~$I%qPI#-MVxkx@޼ۜZJ6h=hAڰ:#obv0e\¡0cPBz{f=d1G'{1@dD~yXrDOZE.ϐ=(%^/2V)(mfR20`މTLm/QL zKMmͥ +^vA +oEGxvXIxAW>xCª5!w^ ĥv(4,-eӻ?/R?Dqeq-xE $ܘ*3oᮘY+0{+N.>ψ'=IJ +f]̇C"spn21 {3=Ej4ZN2 +K~*w?#9; +A)Py 7}^muF2x~m64&G?r\|6L)ew¦ØB+rBc۞3v +!:0{uL +âAj}{q3W^B'(Yhn0WRS?u Zin=ٽڠǘ){s=m\ul^GhN@(s x6bM'*'6?nA{,1{E.RxmN4k(wl30M\Er +pty o> +{a_S +[D.tIEӽ ]fVՓj7Va_a"-{#- +:bO[)HAXE뻔Ug2zOqq" rI~$>s0Y@Ȩ5{I>y炲oCA2=B?"R +g_,~q.E| noϗT6;i?Xb4}teL1~&LdZ}2W.4.^%*D|Z?7W1 * DD?P_toKL'c ߇mS>-#| ;[R1ڢ` +@@onh.VF+w3ݟ)RX#9sz4X"#bwL{cFNj'ƌQԑt2Tn~. |_ߐk(Fm +n8*Y3".g~3SBج!͗s8 +݆ iD7D#oEMP00pn̋E\ٮ+7_ QzRĉ iDoB=|n$2bVÛWRu^]72# +x7SE5OU:?oq W\qPt<hR,v7EbZ5=>Û֜#hSRA>2O?l"q(DOuk4_}Ǟ# `N0N_CB<=gKO1/a!!ԓ(`J˭9.R˨y1jlnL`f~ͪuJjwD19K^W7L(ҿkH8rC/_! 1gg` bu VdoT_E$ LZCbΏ)#ue*<m}}<Z1]7n=6c~#`oM`IGCcIR(f 1?>+YKCZ%s)pxHODRhL⩩? +F,@۷l-%xWuLT7a5 +b=oюca +rPYqf3UeQ6ju! tYL,#Ev8?@<m?ĸӿY7^U0M`X,oz N]CSpbӿ\{2,1ߣT&JRCu& /D#eΓ|}J-ozOYTC]i/ K^QaCi{;ᤩ`; +@WCk2YHG$JԓO>K+ +F. %KWWZ ucQRT1 >r튌;FG֧':ũdXn|I]ͨxq/1siN$bppa5DC$6lg*4/*$Mmd$$0el7aa (w3\\XAȿ4`]|v21) d6.7FkC/1J5deGñqvTߞN|@\%eC_>$X8cB'f{ nQZNr Rn}R1Bz _Мך-Ekjmnk"5j/2~bE9#FmY۩~|NDpTT6Z%H ctjz3\ */09R[Ƣ3/c4֪K^ 3b%B@$Md$8(sPWcY:2N&q4$ +VYvHS Gr +?6>s{&@ Xz #xHH+D%vZ~WO?V33N FӁ9 +[" "rme{3L7gdzR`QK8\ڕf0h <8 y +9\PD^1L1̄\$CFblMQz.Iۯ8fv -%ڞOBTVHY+pJ}S +ɲmpJ3Yas ݟ*SQYLBP_[HWBQgf `~[x/yp +vi >zxup^ľ@#uw<4b,m*}p…N{fE@fNg.`d"ŵr sr45S-U_x`F#忐{uD[Kf4IIxzɯrfb[Bk9kl 8U/W:Z94'`3T+)0ê翄 +z_,{uC-4i 7,g_H9gQrHA8]E6AQsif*lI$LI`@?d/]JTgZY3.S^+ +}KM*עGt836@<1.bJX`y<˟Dt2XJQhi1kpQTS;9v_}$qﱡLT@-p˧а.)_YX3rWsTRI댞PnuZ\.)C܏YȪ(d~~3>ŕ3 %S5[)L.;P_,_ƈdLY<\%Z `Y&B5xF7)?Th* ~d\Ԁ~AyAmLY}4 ׅ<3)q~k1hT +ý2&~.!2Qm-@$rH8Nt I@o v=[64|?bO(Eh!ur#ٱ< t`'΍iWNj,t΋㸾YAۍ{ؓ#p1g_R;T="@ +Fу$.좰):v?JVm^L-oz~ RraEO^u{Xkx[:}R844_sj[RII6G4}q "8U JmmS!!Gtԏ)@G҄DqK)y6bX#Pq\LE/*[\wT̓9}9UuxWF2M#<T+!O: -SwhKtu=)mFeǺ;ze7# endstream endobj -1753 0 obj << -/Type /FontDescriptor -/FontName /EWABFK+CMR7 -/Flags 4 -/FontBBox [-27 -250 1122 750] -/Ascent 694 -/CapHeight 683 -/Descent -194 -/ItalicAngle 0 -/StemV 79 -/XHeight 431 -/CharSet (/colon/one/three/two) -/FontFile 1752 0 R ->> endobj -1754 0 obj << -/Length1 1462 -/Length2 8120 +1762 0 obj << +/Length1 2106 +/Length2 14033 /Length3 0 -/Length 9582 +/Length 16139 >> stream -%!PS-AdobeFont-1.1: CMR8 1.0 -%%CreationDate: 1991 Aug 20 16:39:40 -% Copyright (C) 1997 American Mathematical Society. All Rights Reserved. +%!PS-AdobeFont-1.0: CMR8 003.002 +%%Title: CMR8 +%Version: 003.002 +%%CreationDate: Mon Jul 13 16:17:00 2009 +%%Creator: David M. Jones +%Copyright: Copyright (c) 1997, 2009 American Mathematical Society +%Copyright: (), with Reserved Font Name CMR8. +% This Font Software is licensed under the SIL Open Font License, Version 1.1. +% This license is in the accompanying file OFL.txt, and is also +% available with a FAQ at: http://scripts.sil.org/OFL. +%%EndComments +FontDirectory/CMR8 known{/CMR8 findfont dup/UniqueID known{dup +/UniqueID get 5000791 eq exch/FontType get 1 eq and}{pop false}ifelse +{save true}{false}ifelse}{false}ifelse 11 dict begin -/FontInfo 7 dict dup begin -/version (1.0) readonly def -/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def +/FontName /TDRORS+CMR8 def +/FontBBox {-36 -250 1070 750 }readonly def +/UniqueID 5000791 def +/PaintType 0 def +/FontInfo 9 dict dup begin +/version (003.002) readonly def +/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050\051, with Reserved Font Name CMR8.) readonly def /FullName (CMR8) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch false def +/UnderlinePosition -100 def +/UnderlineThickness 50 def end readonly def -/FontName /TDRORS+CMR8 def -/PaintType 0 def -/FontType 1 def -/FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 66 /B put @@ -21680,79 +23023,104 @@ dup 120 /x put dup 121 /y put dup 48 /zero put readonly def -/FontBBox{-36 -250 1070 750}readonly def currentdict end currentfile eexec -oc;j~EЪ*BgNӽ ؑlKq*޲Xws|QFqv`zXMyp"5O˩YŝP(DT![v67XFlU&3!Rq4wσ~j+ou\@[6]nhmlhaH+4/?3&n=a6E#|~.ԅˡw,"rg[eHi>u -Wת>~ӖѿJmdvA -[4|ܾ.Vz_1. Ff |X9^Rw] -ۊ31S\DKZW` P^3 eێ 8`2?l;Ȋ!eXxh -Df@=$*IBXԏ!Wx-b1 C; p}hQi=HXbgbmǣR,>_Q! -Z؞Ar]< Qjt8?B,mN3v լǵ+K6 t{AJcQ%r?v60RmXsŤ+pǸi:Us)kPW\~; 7T.N }.&:D~zp0C_HOzCByAOve1k`G|f28'j0&®uk6sw, I5&{oP}p2d -CA!8Z⓪٦ǎaBLeb̞s }{A>*~(qi  XIw<_-N^0nQ5`WZ+Z BPeCق ]X|jlOnPBRAp-g+GO k܃d>7Y+À4B4nTV ;=bDzUXEGWAVah1^+?Im'SrFIYfcĪFBRcf֔'8(R?x5o ﻍ¡['XdjJF{quᆱQED7q+~RDFeCuKr,їR jO>HUelEE8TUEZà׶3 jYN=iG.h}D P̘}B-4,Hc:YD2ňл/S0 ^_SUqnqcK.sH;\mz8Yy +9OBsD͹yf,3+|ON|!,N萵.]l7h)j+BAVq'}N>1'$G:pq7 ij `[/7-"5ڵl?LYbD8-_ u›6HqtmraI€|,yN%н8s#=\\bD1`V_B -b@~dɨeiGw"R*{{:,np/.:kcDx{;iO9S+ިi>+fǹd7"0EcY#yr Ȗ嘹 g\JuC״NF )ӿ -UA;SF{N_YHD jZdVf&<ď!Bzdxs@MV܊Sǽ WDzCqFlvUZJsѩy*v6ǧ տIprGW"׭oP,<Jlݽiy95=Yɺ^6p#ha{Le霣Rx -阯Dƅ&I-bJϬɞMRR5xC :8mz˘ħ!7Si3NRL]'͵w$/%Hbm.,nb'Kz}`B? {(L,"ټL~DplZV~UA >\c8yS_T^,}b"b,CSzn?ܗETdOã[Uo]wy$p>sb,Jg8ŒPTi}by+ =`<̼H/kRF*]иxd60#G ?C.fv +=)?=~2c1ԑbM1?!&js ` C2>_aٚ%v fYwP~Cn|x"e{nW9d=sVQ*ʼMCĭM8ZsQKLҦl)r6+2"P2)v8v%y9^W5Y0b?Cdx3N.$"\e2y2!;eڎu~c%ߤ/e5͊f+W'E "TmbGO*Nu ZؾjSɖAEsrhĵ"V3^? 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G7uI`qT|(GtW.E^9LNI.ʝ` hJQN*$>i97H!GL:Kɨ*{MҊ 2NGn񓟿 lž Qb,sb8/О_J}|?0^C1_{.S'vjW8V˃ˈ'Sk?Cs1?,|ޞjNШ3A7A~OTo({w-ybqUppS"CqF8}1v^cU'??o״X=7&HAYT~6xL2ԑ[Ţ[o~Bb_$`nR%zE#NpcdN8@xȣ6oNG_afSxV^uE>uҨɐy&?80Qr%cd}+suˋ5- îeҳCTyOyڭJWb\T3@CK|G1T“ |ѽ' ˪jjhqq囔{ƫp9ar˫<9|L͂|43(œsBAЗkta*'rw$txGB s/*a) EZ3aeUU!HۡaJ[_Ǹ; Q-a~%*4?I}"?U #T.Ev endstream endobj -1757 0 obj << -/Type /FontDescriptor -/FontName /UIKOQU+CMR9 -/Flags 4 -/FontBBox [-39 -250 1036 750] -/Ascent 694 -/CapHeight 683 -/Descent -194 -/ItalicAngle 0 -/StemV 74 -/XHeight 431 -/CharSet (/B/G/I/L/O/P/X/a/b/c/comma/d/e/eight/equal/f/five/four/g/h/i/m/n/nine/o/one/p/parenleft/parenright/period/q/quoteright/r/s/seven/six/t/three/two/u/x/z/zero) -/FontFile 1756 0 R ->> endobj -1758 0 obj << -/Length1 1050 -/Length2 2900 +1766 0 obj << +/Length1 1703 +/Length2 8374 /Length3 0 -/Length 3950 +/Length 10077 >> stream -%!PS-AdobeFont-1.1: CMSY10 1.0 -%%CreationDate: 1991 Aug 15 07:20:57 -% Copyright (C) 1997 American Mathematical Society. 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Jones +%Copyright: Copyright (c) 1997, 2009 American Mathematical Society +%Copyright: (), with Reserved Font Name CMSY7. +% This Font Software is licensed under the SIL Open Font License, Version 1.1. +% This license is in the accompanying file OFL.txt, and is also +% available with a FAQ at: http://scripts.sil.org/OFL. +%%EndComments +FontDirectory/CMSY7 known{/CMSY7 findfont dup/UniqueID known{dup +/UniqueID get 5096648 eq exch/FontType get 1 eq and}{pop false}ifelse +{save true}{false}ifelse}{false}ifelse 11 dict begin -/FontInfo 7 dict dup begin -/version (1.0) readonly def -/Notice (Copyright (C) 1997 American Mathematical Society. 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All Rights Reserved. +%!PS-AdobeFont-1.0: CMTI10 003.002 +%%Title: CMTI10 +%Version: 003.002 +%%CreationDate: Mon Jul 13 16:17:00 2009 +%%Creator: David M. Jones +%Copyright: Copyright (c) 1997, 2009 American Mathematical Society +%Copyright: (), with Reserved Font Name CMTI10. +% This Font Software is licensed under the SIL Open Font License, Version 1.1. +% This license is in the accompanying file OFL.txt, and is also +% available with a FAQ at: http://scripts.sil.org/OFL. +%%EndComments +FontDirectory/CMTI10 known{/CMTI10 findfont dup/UniqueID known{dup +/UniqueID get 5000828 eq exch/FontType get 1 eq and}{pop false}ifelse +{save true}{false}ifelse}{false}ifelse 11 dict begin -/FontInfo 7 dict dup begin -/version (1.00B) readonly def -/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def +/FontName /HBJLDT+CMTI10 def +/FontBBox {-35 -250 1124 750 }readonly def +/UniqueID 5000828 def +/PaintType 0 def +/FontInfo 9 dict dup begin +/version (003.002) readonly def +/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050\051, with Reserved Font Name CMTI10.) readonly def /FullName (CMTI10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def +/UnderlinePosition -100 def +/UnderlineThickness 50 def end readonly def -/FontName /HBJLDT+CMTI10 def -/PaintType 0 def -/FontType 1 def -/FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 65 /A put @@ -22064,109 +23493,120 @@ dup 120 /x put dup 121 /y put dup 48 /zero put readonly def -/FontBBox{-163 -250 1146 969}readonly def currentdict end currentfile eexec -oc;j~EЪ)s̾;.;rTejiK/df5A|{S/ )Sc\^ȟmp+#vL17~k d# -]LeVߐGoo٥\k 9Mՙ= 0)xf -1kX9H!.vPN 7qjj7!6CɫTw.]ʂԬ/J1]0': fqdU24tԡ?@^g+0[ -KTB/UٝFMz7 .U{7K.=UٯI C^$O7Û-tGrz J:"ia~ -T"*^MMчff0EM -z8uwi*?rw5(*5nZ٫ -4*RX&RTdRM3m ѫ& .Pd8;]F |H!%T [-͘ޞ E|pV$MU]n11RP} -d -.{IQ7^N-+C #̲]\M؅1 -pk2 -\t,o)2TTڮw}Ҏvq `;lSgs3c-h}W9;ڤ9Ö`2 ${};;m򉅘^l1'C*~O`XUn0x|cɾ'iD%WNCەU.9R*R?nLWˆs/[趡ۆ8>H@#ٻx wf} ayBR C1|P|'r,߰INJU`DkUQe ]Am\"GmFO )2rIuW\SW,'vdy]eqXH0#~Z9|pŞPOHau`Cb鬅<=?t8!-~C0VY-aht`rxK[3,f @=]wG2C#܎drQ>Nm'ha{5QJ2ׇ -OPޢ(䖜El[LjC KMb83v)XF+7凫 } і~73AIf[1/+5LZlvB2 )>úp8{@.%+uZ\4D w{jn}8͈"\QsIM? -7C|}f[}LK]'fu2.C0Rö́q WǦ!v W(TO±#l0?:1 ~]w[La # w BՈm-CfN[PĆ4&g!X[ & ҆LO7e4m IS>+,݅ 9Aoh}ˍI5*|,rMʀߵz I ^AXTq:2*pgc1B 5r[V(#o~3!vtldԾ[bZKsJ>%rt\||(6PӖueԻ؂8<}23ǰ;s' \D!vSa:*C.(}8,Q|҅v㾲꼰UoB~ENTgd]9k IhG"m13oâ -#d&)?Nk{#+OYHEރ5ۓ\̈w}F0@$7UzM tPRoa-Fk|߿\!/3toIKô<<!%a&jZGN̺*(Ė^f_FڰC񕖇Raډܵ G3yc" -&d+ܬ,pBOx UE 5A 1R,l*A,]s L¢N$x¼nIrSڢ\vI IP09 \h0nW6]tK!d4:6 8r mz,UR kpT1vI2( ˓ր-_8ep ܂Ff)9%)0J#2%I@ MVoz@:ќE[CN0~k\r?@At tWA/mv,+Gסg.X nO'6&]D,+R LzWEQX`J_@7};)Ui`Kt?euqJTU6ߥn&ϽQS4~{rFZ!?!#RDC]pK%Uڃ?NgE^sZ;G4}cjyKvgW>4Nqq-C$tX߁)8=uqFK!X;[=;WOe\j<,ZP{=Hc(b+]]$FǏM;)o!\崲+sޜTntR#4c)S=+ iJ͠p-_ ~R(xy(yLg.sa h]_f^f HKu`C_'`9ЃMUEwFT~[YXkBj'1#M#ĸ? !y L#ccTlB5Xf^F7wv {x^D*I-ed~> mu3~}<MԒoF6musD8fa9J)HXN$rlyh$^; -66$YiX9-0#/1M,OcRz_7qXh޻ q5Vf"Oox/xXPeM -aJAhʯgL f>R~1 Qp "‰O0f&#*5wTp q(D3js-wV/UF8AFy$g$W 5hl։_>n4jS/MCxB֩ s2 F,!Y B@dkx|<ܶP,A[JCr.%%zh%iEWK -V7iujÿULx8 4LpÂ0<6Z1.jmG -@itO>1Ts&b?F - ]6P=՚=7;*])۝^/m#i 9;S-ce[d4E,{bT\P$R"HbwV.1'H<̔ Ӳ3zl f r -=#aMb ; >וX $F(WmbExbQc@IqgXWMH2ߠ[DM8QNE8gVRi2xe cẌDajTXy,ԫqwܯhkEp֏ z۱V\t?XӪ"p8TMޗQ1[u;:fıiepuP{;Di`Eig+37* tJ3n^npcV\VX:THPШ|<"xBIX%1ȿۀ'{uWqcv"9;t -I ű0z*5Gr66;p wId+0Y:hT:ʹৰăRI# $\=@tp'U=Q|wMkEuf d80ml%Y)*䯊eeFo3j/4~iJ0̫#CC5u P>!S?وa -LQbzWc}IOQ\7?_R燹(i"%5jy uĄ9A!y𷔷S;S?5yU-nb;ʼBuTe|ļ;vu5%@i!zmCf9l` -TbP\ĕFGx8{BGBoe ?6K` %E((bsS?#;IHIRgHŗC" Axb'^;*DٕTz35'«G=F F섲.K|Lђ^Tsә,˛PS{1c ˋri,BRjl_݂tUH %!#V|6G9i/'//do1Wˋ_G +‰a vL"paS-g綇}t@{&Y`I +|ۢsifˇ]<zilWUf }ϡq^c,@{6~?JSijv$i"$O +VQ?236u`}u~㣖9ñ#M=f.bȫ G 䁡"K aI\N*Q*;G40Z($Xv*WsPn hXU;.a7X5{~MzH Tj?^ +LhIt}e&,APRNy< 9MCfQx"c<~Nh%0`ڇD+qn ;/XM wZdi3V"+$(5|.R`G[xM9s&7q%*=׶%zJ3FA%@kd/]gā2Ǧ<\%ߓnW(5uI&dI fWt]]32b驞VS~O &`hXsGA"%͗"h*4Λh`:gQgatN9"#D*$Ǫyy\ 9OE{y"QAw/Ѧi,֗665:?Sr#2 +]vV=] U8~ 4"5;;jJ+عo!窧)y.^<^gNlV:H (j$.C>drYz3D^"(ݪy?ssDt45KqcV}PI'REhܺn!p}ilqH'>2AOl2 # [˚so DtaK:}9/M]fXlf-F| Y A1Qƕ/28 S廩/^dVB [aJzH0uSo/Y`'g)5ʪ:\hYrG!y 9rhcagzoϘ$@]8 REPWhͽz]FIءz۳L|"CEw}BŽ03&pv4Q:uKw+nC~vto:a, y\Y8L sϯ~dp=n?D( =>mzN5  ,$2/"f6%)R%b8j6mqEQ-C sKD\=R3d>!YΎ9MQΕ/Vd+BW&IIpAh* ,W_UkW2G&tk+hV<$_TgLضucz9?^y(;2-~7]r&Q0[AM]fX?x]inU>%ʸ(T?. a1L.wiaH#C-`g=f) +TEGeIuEo?Fg 5s9!GYrÂ$֡ L8h:ji Dc8k.l|l| /ܚ;'(2P]< nӱ +l\C؀:ጜ'|-sy5eDeEͲ3ڗ05nv>*!d p+2~Ͽr);J;шJ2y].1'e'0\Mt:gF+mr3*ttXKuRL˨B4Pmhel[b9ʸNRr%0K.㼎b8TC{,Pu9 %" +ƛ1غ^KUIzfs'FiwG&2bDX4&"t]vU3qekZb2mHj1}q_P2|a8~kP4o_== vԑ8U5[_ )e=mʂ:1ԍb D9}F`ֿ0cnR܃IpyiS?z5qeSdqei QJV6ᤙ>ot5&2ZW$MQ:Pϼ\w/v@j=_L@wNҸ}FdX;ʊw%aMcà/bbK+2qޫffQ`" +nLo/'w ^*Waol2)&e+شg !g 'f?qwtלKZt&,<#)Y,zzп榯%1!ǠW"pu maRr1r@C( ^ tR^0Kt{տgB"ߧDf!=|Q +:( [~GsvjʓkP g/=_]Uz T,$V9jZߵ5߷tQq̮ٙGkc{ |RL ]vCAh$(5y9>8A88o1ȉSO Av??߻㹑Vks=lvbϣ8|\_%{Ҩ>&&zIWVSiUAV+Ӓ$D} Ge=fL| +)o^E`Iv7fK+sDz2s4+:>AnpT/ٸ&XɥݡT,@T;w zȼӧzekc=zaH``$4 +ϋHG^/'tWWu5*b9N&ԯ}ڷ#* +7=/|CX2W!wAk'TM<@SтkP8f>? 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All Rights Reserved. +%!PS-AdobeFont-1.0: CMTI12 003.002 +%%Title: CMTI12 +%Version: 003.002 +%%CreationDate: Mon Jul 13 16:17:00 2009 +%%Creator: David M. Jones +%Copyright: Copyright (c) 1997, 2009 American Mathematical Society +%Copyright: (), with Reserved Font Name CMTI12. +% This Font Software is licensed under the SIL Open Font License, Version 1.1. +% This license is in the accompanying file OFL.txt, and is also +% available with a FAQ at: http://scripts.sil.org/OFL. +%%EndComments +FontDirectory/CMTI12 known{/CMTI12 findfont dup/UniqueID known{dup +/UniqueID get 5000829 eq exch/FontType get 1 eq and}{pop false}ifelse +{save true}{false}ifelse}{false}ifelse 11 dict begin -/FontInfo 7 dict dup begin -/version (1.0) readonly def -/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def +/FontName /OZJPZO+CMTI12 def +/FontBBox {-36 -251 1103 750 }readonly def +/UniqueID 5000829 def +/PaintType 0 def +/FontInfo 9 dict dup begin +/version (003.002) readonly def +/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050\051, with Reserved Font Name CMTI12.) readonly def /FullName (CMTI12) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle -14.04 def /isFixedPitch false def +/UnderlinePosition -100 def +/UnderlineThickness 50 def end readonly def -/FontName /OZJPZO+CMTI12 def -/PaintType 0 def -/FontType 1 def -/FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 65 /A put @@ -22193,69 +23633,87 @@ dup 116 /t put dup 117 /u put dup 121 /y put readonly def -/FontBBox{-36 -251 1103 750}readonly def currentdict end currentfile eexec -oc;j~EЪ)s̾;.;rTejiK/df5A|{S/ )Sc\^ȟmp+#vL17~k d# -]LeVߐGoo٥\k 9M֨[G(aܘ|RP>f}|Zx'5+jۊz3p3`/gtJ8)&ho%̸{sCVah~I"Y0'Ӷg; 怦#Ӝոgl;O6jyg -H@n΅ -l2qŽwޗMe]}Aq}_oyѣg+JIua;5m˺ڳŞppX!cs|:J#5պ )jYN,~[Y\! $a7{_-l Ɍ@ec!Eo-}гR#w9O,;rЮm;xx]JTeS戜-:?,0nŨ[xp*[o,5v5hfO[! 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All Rights Reserved. +%!PS-AdobeFont-1.0: CMTT10 003.002 +%%Title: CMTT10 +%Version: 003.002 +%%CreationDate: Mon Jul 13 16:17:00 2009 +%%Creator: David M. Jones +%Copyright: Copyright (c) 1997, 2009 American Mathematical Society +%Copyright: (), with Reserved Font Name CMTT10. +% This Font Software is licensed under the SIL Open Font License, Version 1.1. +% This license is in the accompanying file OFL.txt, and is also +% available with a FAQ at: http://scripts.sil.org/OFL. +%%EndComments +FontDirectory/CMTT10 known{/CMTT10 findfont dup/UniqueID known{dup +/UniqueID get 5000832 eq exch/FontType get 1 eq and}{pop false}ifelse +{save true}{false}ifelse}{false}ifelse 11 dict begin -/FontInfo 7 dict dup begin -/version (1.00B) readonly def -/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0 ]readonly def +/FontName /BGSLBR+CMTT10 def +/FontBBox {-4 -233 537 696 }readonly def +/UniqueID 5000832 def +/PaintType 0 def +/FontInfo 9 dict dup begin +/version (003.002) readonly def +/Notice (Copyright \050c\051 1997, 2009 American Mathematical Society \050\051, with Reserved Font Name CMTT10.) readonly def /FullName (CMTT10) readonly def /FamilyName (Computer Modern) readonly def /Weight (Medium) readonly def /ItalicAngle 0 def /isFixedPitch true def +/UnderlinePosition -100 def +/UnderlineThickness 50 def end readonly def -/FontName /BGSLBR+CMTT10 def -/PaintType 0 def -/FontType 1 def -/FontMatrix [0.001 0 0 0.001 0 0] readonly def /Encoding 256 array 0 1 255 {1 index exch /.notdef put} for dup 65 /A put @@ -22328,68 +23786,452 @@ dup 121 /y put dup 122 /z put dup 48 /zero put readonly def -/FontBBox{-4 -235 731 800}readonly def currentdict end currentfile eexec -oc;j~EЪ*BgNӽ ؑlKq*޲Xws|QFqv`zXMyp"5O˩YŝP(DT![v67XFlU&3!Rq4wσ~j+ou_c2Bطj=-8\Dg݌] /%bԺnٻڿSy b*L(9sWF R:EMksH02E?Oe+Z'zK΃оif <,EDNZ|J#BW3ϗMp(%5%~(5Bk}Aj c'S-8*!iy$G.w g J0nr -;଍ Kr^ox7p4= CyO#y[49'n*xx/J}o֯p6Oޏe}hà1W6Ϋ%(i]Ii -텴""b3=5sJzbJ>[Wе H 2"ێ0Oy9.t:=$EǪ ]to`% -'EKKfrRK^y`vO^v~ZwR iNMW3HSp+T,q!s0(ع;U+3"J8q3dJ`77+IuؿhH<=!'T́2.r% -v y*S\L$r)_`5_O㛘H&ESq=* 4vDg%+POS1$",qlks5>G|Z}s4fH YH%q_ l^37"i|SXmJ'Mk17ЍUp͖C]6npoBI -B:PX!q~ݚSZ:*WJqFܛqE*?=qC -U}lvM?/8@|<V&/1TdrS~¯yLc͂iANJ|my 51zRTnS^3bCXiq -S`Oɼ+Ԙ^& ;vmCrsvSɺ`"oLBHָ =}bV}ݙHHqH-Q -gC]JB xT$Y}oA1LlO4wiVMcOLH`>XZ8N_}4@naѺ mJuh0(3Z]ɓu/ҧּ05Kj3K^.*:j!WSh)Rzuh ܏+<*D-?%($ri2)֨fUCra4X_zv>ە4&AfG李X RoW@j}¦eHfJt`8Y)RmxKpH=;IKL*/nCsGd=އӞ%yh;g6bt GҗutzLk"$\ش n$l-IT6:yl$[{&ҙaD-iC3ӗ&d @r>nDңiZ*}\UjQp9mτJu|nq l5aת4Cl7pQj6kl\ؓc^s3*eڗY´2 W7%wό (FIf i=/Ķt 麌t4-bՏiS''O e!m)cm^D;l]6qC'dl7n>+2HI?^\ĵ¡]EE(Fb;U8++5Yn@2&cщTU$v/ä1wx`'B$,9wdL\n3#rm6+z]e[CpIn{e_Fs[g ?bZ=;Ut}nku`nnc㴴;t+TlsGP`}Y.Y9]Ͱk2P \  -CbWSĐllFu ,r\]}^}$=dʩO;,mVYХ",H.悞S4$;M%Be[Rru"UDFrMtT34h%rlOOF&\y>j'Ru!8Z;6}|RRq@ ;Xmm[1 ^Ďr~3Y,-HR%,?"WA.YMc'I}{V[Ma({d(sSAʲH7 1kĤq?V|v~p2N J;;%)3H"=Nv^}{lubŻi5A} 80ٰe;M5P]ۡs}՝B$q#F/J*Ǫ)[ˣy]8@K޺r ᆰť 'N&CEpx|G:Cb뺓+\l]ѕHmf*[HNR*mlSR,U=8jL=5HzL"Bwא|,nLӟE=jˆMmD2DCt^5tXv^l<XN.dq&fs10hl{%X>hX{J+;P/r:=XW5Wz.Nu4G_Cְ,Cu;|W ޱl, + -b CRcH3_!;!Uw id`7[M V󷿫.Y+Y≄5Gt-z#{dWDb= Heei BD'r'B2Bj=;ݩ]^&jĹ<`Oţc\kS굩8VnWXk>w) --дJUv$DV\"MdĄ|_ߎeďӿG2-sW1 WUR0M z01(T45 -M)I-|?34?6tZ\d#L3t -ɳ0zR[il"6=?'7|u[t{E8`BgP/N D 䦻*sI;.uީJ#B,U3Y$ȨKI:Hm&%yK_2 oÎ>\lZh-gU'e>KL4pPƄ@72{T8>QٹE4n4%[ojR'w4|4#PΤ^G <iٺT6L gywwYŊ:I0D7 -\yz.bH9>/rf`*I,ި[i5${O,TRX,l](uD=R*h|,o6 vp^F~m]jxԋ/A]?O]~26T23GF6 9Svy0srS=h Ѐa7v^x@HT&wcBM'r'x ۼČþuЭ>T"$j+lrqQi<LN,ѭOO5\ƒW"xzZ>9:^^/I`_MSYowmA7?'CmXN| -Zye1 wЉm +'q?EF(Mu-*Ԅa6IԠ]-TX;WE(,fmK5{Z䐽S^ZOϛݼvi Lm|; {rI _5YN8!) -D4J7mV|y kyκ?W#tY|i?F-nsR3}0yACp* 4k{6}Kv^wχxfQ^wL4ĎfaJgts^&MϜݦ03,Q$m҈0@74S_RW(wwDĵDQN5Ջ}r&xQ_'* ~?o@&Ֆ! 6yDZ<\Q33oܻ:d|=5hv: QI-@?_g_rX!K.gu=abI9BcX|ѯf.O<6kh,Cjޝ{'r/F"u,}]SnB0f8`/o2iN;v -l5? }Ӏ@=ϪWRf"gne@\pry8{5{HJ|_^>n; Py" * wभ׸.C {/\tV*}Z?@SEqACQ,u7)\"uD: Z yGr0<9~洣Q"5t}-q+F[+J b׋ڥ=ezh=ަOvon)ހ{_ -gO6QTECiʆn'&1>ߏ̠pO>i(}85GKpePWP0d!2m)Ix?歨zeF&v1Ceޘ'=k>D[N1:1H$/M\Xc޽ԝ.L9`_ΤuyKՙ4)NĻҡvH|k؝߇ {qC^ -h2K -Fs}CUt&9Al#L>=8gtzz1^!!׭Vl!_pW>BL.<&mfdD- uyL4&FP"Q{=ԻOMj(2,?}U?:ٺ;4JF:ķ`%34.y^ڨ.]ɗVV*`?ʢՠ:-xE -5s!LETbvFd&^]7L7y_ܒjAU8d[*S롈wi)AϲͲmD~~4=<ɹDze  Z0 }?D0Xk%N9kyh"Bqad Ec 2$mX!C^: !/(7pD8Q往q2YM{eCjҥ0FdWȁm!g Ґ|7 +:zpb03m3i5D0:ې2)=DVzM%e5)_zA=w~t͑r$O' ҕ($fAʛY9m 3a2.x%lQX‹Ή2_hUe߆0#"^MMnxfٌduoz 0DJ}!9Q -uoF(1; BY&)BٷM+kD!ؕ51гdA4a2lBezA\y=j'xA#6{Fk=(LJ@TҊsg2 a,=DE wq_3}rVdcPI^'Hv~>[y)|M(]S3D-N~JB248 cq9*zc[l8zX)|N|,QINK,w9.rbz+[Y;s޾0 ?(vj<6+#X6D΀ 2,33zE NFVRH~i zeiKGUIƂe=>  f'@[Uunb%rp)"%f[5/.-_SyęlFRm4 yZH`xyԐl݋i210J$'vѮfњOQaDպե:8I#OXV/:ѷv]돝`' Bn%@KxHXoϵ3|v<$q$cqH6r^h'{"CaBԸHk=f7sny߱KcUuZ|D>:%e5]}&MCf֮A\ PnM]G*yEk(yWׯ: @'IYes] Ĉ`Rl^o? -n^-\m>(5P -Bamd-[;z"` =cЍ_|[>Bߔ(9tٶ\Bwn_%09'%"{w$V?IOiDyl$Wк@܇Oe{IjcvͧpxS[;E0s]~SJJo÷҇&uf5U^ :PAL{yc}"NtPaa -bv|KR 涴szTO qZ2[E"Wj˅C'Uo6 ))]Nk4/gg f™0o2f!HM"~nChC$s7Z -֝2, +G UEEG+=}ڪ+>MZfɬ!hر ʶ -X -"-Ր QS)i 4 Gɂ^oAkީbbw[W~&Eνv -3Q4g֔C#p -Lr~j͐-9459uY6̿]18PB4Az(ظ. 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0 R (section*.45) 258 0 R (section*.46) 262 0 R] -/Limits [(section*.41) (section*.46)] ->> endobj -1844 0 obj << -/Names [(section*.47) 266 0 R (section*.48) 274 0 R (section*.49) 278 0 R (section*.5) 62 0 R (section*.50) 282 0 R (section*.51) 286 0 R] -/Limits [(section*.47) (section*.51)] ->> endobj -1845 0 obj << -/Names [(section*.52) 290 0 R (section*.53) 294 0 R (section*.54) 298 0 R (section*.55) 302 0 R (section*.56) 306 0 R (section*.57) 310 0 R] -/Limits [(section*.52) (section*.57)] ->> endobj -1846 0 obj << -/Names [(section*.58) 314 0 R (section*.59) 318 0 R (section*.6) 66 0 R (section*.60) 322 0 R (section*.61) 326 0 R (section*.62) 330 0 R] -/Limits [(section*.58) (section*.62)] ->> endobj -1847 0 obj << -/Names [(section*.63) 334 0 R (section*.64) 338 0 R (section*.65) 342 0 R (section*.66) 346 0 R (section*.67) 350 0 R (section*.68) 354 0 R] -/Limits [(section*.63) (section*.68)] ->> endobj -1848 0 obj << -/Names [(section*.69) 358 0 R (section*.7) 70 0 R 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loc_x, desc_a, info, root, mold) \end{lstlisting} \begin{description} @@ -512,6 +511,12 @@ Scope: {\bf global} \\ Type: {\bf optional}\\ Intent: {\bf in}.\\ Specified as: an integer variable $-1\le root\le np-1$, default $-1$. +\item[mold] The desired dynamic type for the internal vector storage.\\ +Scope: {\bf local}.\\ +Type: {\bf optional}.\\ +Intent: {\bf in}.\\ +Specified as: an object of a class derived from \vbasedata; this is +only allowed when loc\_x is of type \vdata. %% \item[iglobx] Row index to define a submatrix in glob\_x that has to %% be scattered into local pieces.\\ %% Scope: {\bf global} \\ @@ -542,7 +547,7 @@ $glob\_x$. \\ Scope: {\bf local} \\ Type: {\bf required}\\ Intent: {\bf out}.\\ -Specified as: a rank one or two array containing numbers of the type +Specified as: a rank one or two array or an object of type \vdata\ containing numbers of the type indicated in Table~\ref{tab:scatter}. \item[info] Error code.\\ Scope: {\bf local} \\