| 1 | /* | 
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| 2 | *    vmg - a versatile multigrid solver | 
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| 3 | *    Copyright (C) 2012 Institute for Numerical Simulation, University of Bonn | 
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| 4 | * | 
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| 5 | *  vmg is free software: you can redistribute it and/or modify | 
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| 6 | *  it under the terms of the GNU General Public License as published by | 
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| 7 | *  the Free Software Foundation, either version 3 of the License, or | 
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| 8 | *  (at your option) any later version. | 
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| 9 | * | 
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| 10 | *  vmg is distributed in the hope that it will be useful, | 
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| 11 | *  but WITHOUT ANY WARRANTY; without even the implied warranty of | 
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| 12 | *  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the | 
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| 13 | *  GNU General Public License for more details. | 
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| 14 | * | 
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| 15 | *  You should have received a copy of the GNU General Public License | 
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| 16 | *  along with this program.  If not, see <http://www.gnu.org/licenses/>. | 
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| 17 | */ | 
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| 18 |  | 
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| 19 | /** | 
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| 20 | * @file   gsrb.cpp | 
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| 21 | * @author Julian Iseringhausen <isering@ins.uni-bonn.de> | 
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| 22 | * @date   Mon Apr 18 13:08:20 2011 | 
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| 23 | * | 
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| 24 | * @brief  Gauss-Seidel Red Black method | 
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| 25 | * | 
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| 26 | */ | 
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| 27 |  | 
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| 28 | #ifdef HAVE_CONFIG_H | 
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| 29 | #include <libvmg_config.h> | 
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| 30 | #endif | 
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| 31 |  | 
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| 32 | #ifdef HAVE_MPI | 
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| 33 | #include <mpi.h> | 
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| 34 | #endif | 
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| 35 |  | 
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| 36 | #include "base/discretization.hpp" | 
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| 37 | #include "base/stencil.hpp" | 
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| 38 | #include "comm/comm.hpp" | 
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| 39 | #include "grid/grid.hpp" | 
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| 40 | #include "smoother/gsrb.hpp" | 
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| 41 |  | 
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| 42 | using namespace VMG; | 
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| 43 |  | 
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| 44 | static inline void ComputePartial(Grid& sol, Grid& rhs, const Stencil& mat, | 
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| 45 | const Index& begin, const Index& end, | 
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| 46 | const vmg_float& prefactor, const vmg_float& diag_inv, | 
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| 47 | const int& off) | 
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| 48 | { | 
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| 49 | int i,j,k; | 
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| 50 | vmg_float temp; | 
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| 51 | Stencil::iterator iter; | 
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| 52 |  | 
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| 53 | for (i=begin.X(); i<end.X(); ++i) | 
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| 54 | for (j=begin.Y(); j<end.Y(); ++j) { | 
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| 55 |  | 
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| 56 | int z_begin = begin.Z() + (i + j + begin.Z() + off) % 2; | 
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| 57 |  | 
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| 58 | #ifdef DEBUG | 
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| 59 | int off_sum = MG::GetComm()->LevelSum(rhs, z_begin - begin.Z()); | 
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| 60 | assert(z_begin - begin.Z() == 0 || z_begin - begin.Z() == 1); | 
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| 61 | assert(off_sum == 0 || off_sum == MG::GetComm()->Size(rhs)); | 
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| 62 | #endif /* DEBUG */ | 
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| 63 |  | 
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| 64 | for (k=z_begin; k<end.Z(); k+=2) { | 
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| 65 |  | 
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| 66 | temp = prefactor * rhs.GetVal(i,j,k); | 
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| 67 |  | 
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| 68 | for (iter=mat.begin(); iter!=mat.end(); ++iter) | 
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| 69 | temp -= iter->Val() * sol.GetVal(i+iter->Disp().X(), | 
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| 70 | j+iter->Disp().Y(), | 
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| 71 | k+iter->Disp().Z()); | 
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| 72 |  | 
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| 73 | sol(i,j,k) = temp * diag_inv; | 
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| 74 |  | 
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| 75 | } | 
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| 76 | } | 
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| 77 | } | 
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| 78 |  | 
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| 79 | void GaussSeidelRB::Compute(Grid& sol, Grid& rhs) | 
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| 80 | { | 
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| 81 | const Stencil& mat = MG::GetDiscretization()->GetStencil(); | 
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| 82 | const vmg_float prefactor_inv = 1.0 / MG::GetDiscretization()->OperatorPrefactor(sol); | 
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| 83 | const vmg_float diag_inv = 1.0 / mat.GetDiag(); | 
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| 84 | const int off = rhs.Global().LocalBegin().Sum() - rhs.Global().GlobalBegin().Sum() + rhs.Local().HaloSize1().Sum(); | 
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| 85 | const LocalIndices& local = rhs.Local(); | 
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| 86 | Comm& comm = *MG::GetComm(); | 
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| 87 |  | 
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| 88 | /* | 
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| 89 | * Compute first halfstep | 
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| 90 | */ | 
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| 91 |  | 
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| 92 | // Start asynchronous communication | 
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| 93 | comm.CommToGhostsAsyncStart(sol); | 
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| 94 |  | 
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| 95 | // Smooth part not depending on ghost cells | 
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| 96 | ComputePartial(sol, rhs, mat, | 
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| 97 | local.Begin()+1, local.End()-1, | 
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| 98 | prefactor_inv, diag_inv, off+1); | 
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| 99 |  | 
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| 100 | // Finish asynchronous communication | 
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| 101 | comm.CommToGhostsAsyncFinish(sol); | 
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| 102 |  | 
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| 103 | /* | 
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| 104 | * Smooth near boundary cells | 
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| 105 | */ | 
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| 106 |  | 
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| 107 | ComputePartial(sol, rhs, mat, | 
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| 108 | local.Begin(), | 
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| 109 | Index(local.Begin().X()+1, local.End().Y(), local.End().Z()), | 
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| 110 | prefactor_inv, diag_inv, off+1); | 
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| 111 |  | 
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| 112 | ComputePartial(sol, rhs, mat, | 
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| 113 | Index(local.End().X()-1, local.Begin().Y(), local.Begin().Z()), | 
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| 114 | local.End(), | 
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| 115 | prefactor_inv, diag_inv, off+1); | 
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| 116 |  | 
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| 117 | ComputePartial(sol, rhs, mat, | 
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| 118 | Index(local.Begin().X()+1, local.Begin().Y(), local.Begin().Z()), | 
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| 119 | Index(local.End().X()-1, local.Begin().Y()+1, local.End().Z()), | 
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| 120 | prefactor_inv, diag_inv, off+1); | 
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| 121 |  | 
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| 122 | ComputePartial(sol, rhs, mat, | 
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| 123 | Index(local.Begin().X()+1, local.End().Y()-1, local.Begin().Z()), | 
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| 124 | Index(local.End().X()-1, local.End().Y(), local.End().Z()), | 
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| 125 | prefactor_inv, diag_inv, off+1); | 
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| 126 |  | 
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| 127 | ComputePartial(sol, rhs, mat, | 
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| 128 | Index(local.Begin().X()+1, local.Begin().Y()+1, local.Begin().Z()), | 
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| 129 | Index(local.End().X()-1, local.End().Y()-1, local.Begin().Z()+1), | 
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| 130 | prefactor_inv, diag_inv, off+1); | 
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| 131 |  | 
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| 132 | ComputePartial(sol, rhs, mat, | 
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| 133 | Index(local.Begin().X()+1, local.Begin().Y()+1, local.End().Z()-1), | 
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| 134 | Index(local.End().X()-1, local.End().Y()-1, local.End().Z()), | 
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| 135 | prefactor_inv, diag_inv, off+1); | 
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| 136 |  | 
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| 137 | /* | 
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| 138 | * Compute second halfstep | 
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| 139 | */ | 
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| 140 |  | 
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| 141 | // Start asynchronous communication | 
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| 142 | comm.CommToGhostsAsyncStart(sol); | 
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| 143 |  | 
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| 144 | // Smooth part not depending on ghost cells | 
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| 145 | ComputePartial(sol, rhs, mat, | 
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| 146 | local.Begin()+1, local.End()-1, | 
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| 147 | prefactor_inv, diag_inv, off); | 
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| 148 |  | 
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| 149 | // Finish asynchronous communication | 
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| 150 | comm.CommToGhostsAsyncFinish(sol); | 
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| 151 |  | 
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| 152 | /* | 
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| 153 | * Smooth near boundary cells | 
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| 154 | */ | 
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| 155 |  | 
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| 156 | ComputePartial(sol, rhs, mat, | 
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| 157 | local.Begin(), | 
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| 158 | Index(local.Begin().X()+1, local.End().Y(), local.End().Z()), | 
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| 159 | prefactor_inv, diag_inv, off); | 
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| 160 |  | 
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| 161 | ComputePartial(sol, rhs, mat, | 
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| 162 | Index(local.End().X()-1, local.Begin().Y(), local.Begin().Z()), | 
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| 163 | local.End(), | 
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| 164 | prefactor_inv, diag_inv, off); | 
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| 165 |  | 
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| 166 | ComputePartial(sol, rhs, mat, | 
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| 167 | Index(local.Begin().X()+1, local.Begin().Y(), local.Begin().Z()), | 
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| 168 | Index(local.End().X()-1, local.Begin().Y()+1, local.End().Z()), | 
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| 169 | prefactor_inv, diag_inv, off); | 
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| 170 |  | 
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| 171 | ComputePartial(sol, rhs, mat, | 
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| 172 | Index(local.Begin().X()+1, local.End().Y()-1, local.Begin().Z()), | 
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| 173 | Index(local.End().X()-1, local.End().Y(), local.End().Z()), | 
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| 174 | prefactor_inv, diag_inv, off); | 
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| 175 |  | 
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| 176 | ComputePartial(sol, rhs, mat, | 
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| 177 | Index(local.Begin().X()+1, local.Begin().Y()+1, local.Begin().Z()), | 
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| 178 | Index(local.End().X()-1, local.End().Y()-1, local.Begin().Z()+1), | 
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| 179 | prefactor_inv, diag_inv, off); | 
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| 180 |  | 
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| 181 | ComputePartial(sol, rhs, mat, | 
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| 182 | Index(local.Begin().X()+1, local.Begin().Y()+1, local.End().Z()-1), | 
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| 183 | Index(local.End().X()-1, local.End().Y()-1, local.End().Z()), | 
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| 184 | prefactor_inv, diag_inv, off); | 
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| 185 | } | 
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