| 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_poisson_2.cpp | 
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| 21 | * @author Julian Iseringhausen <isering@ins.uni-bonn.de> | 
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| 22 | * @date   Fri May 11 18:30:20 2012 | 
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| 23 | * | 
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| 24 | * @brief  Gauss-Seidel Red Black method, specialized to | 
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| 25 | *         the Poisson equation. Performance improved by | 
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| 26 | *         explicit loop unrolling. | 
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| 27 | * | 
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| 28 | */ | 
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| 29 |  | 
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| 30 | #ifdef HAVE_CONFIG_H | 
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| 31 | #include <libvmg_config.h> | 
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| 32 | #endif | 
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| 33 |  | 
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| 34 | #ifdef HAVE_MPI | 
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| 35 | #include <mpi.h> | 
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| 36 | #endif | 
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| 37 |  | 
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| 38 | #include "base/helper.hpp" | 
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| 39 | #include "comm/comm.hpp" | 
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| 40 | #include "grid/grid.hpp" | 
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| 41 | #include "smoother/gsrb_poisson_2.hpp" | 
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| 42 | #include "mg.hpp" | 
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| 43 |  | 
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| 44 | using namespace VMG; | 
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| 45 |  | 
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| 46 | static inline void ComputePartial(Grid& sol, Grid& rhs, | 
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| 47 | const Index& begin, const Index& end, | 
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| 48 | const vmg_float& prefactor, const int& off) | 
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| 49 | { | 
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| 50 | const vmg_float fac = 1.0 / 6.0; | 
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| 51 |  | 
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| 52 | for (int i=begin.X(); i<end.X(); ++i) | 
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| 53 | for (int j=begin.Y(); j<end.Y(); ++j) | 
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| 54 | for (int k=begin.Z() + (i + j + begin.Z() + off) % 2; k<end.Z(); k+=2) | 
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| 55 | sol(i,j,k) = prefactor * rhs.GetVal(i,j,k) + fac * (sol.GetVal(i-1,j  ,k  ) + | 
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| 56 | sol.GetVal(i+1,j  ,k  ) + | 
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| 57 | sol.GetVal(i  ,j-1,k  ) + | 
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| 58 | sol.GetVal(i  ,j+1,k  ) + | 
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| 59 | sol.GetVal(i  ,j  ,k-1) + | 
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| 60 | sol.GetVal(i  ,j  ,k+1)); | 
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| 61 | } | 
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| 62 |  | 
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| 63 | void GaussSeidelRBPoisson2::Compute(Grid& sol, Grid& rhs) | 
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| 64 | { | 
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| 65 | const vmg_float prefactor_inv = Helper::pow_2(sol.Extent().MeshWidth().Max()) / 6.0; | 
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| 66 | const int off = rhs.Global().LocalBegin().Sum() - rhs.Global().GlobalBegin().Sum() + rhs.Local().HaloSize1().Sum(); | 
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| 67 | const LocalIndices& local = rhs.Local(); | 
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| 68 | Comm& comm = *MG::GetComm(); | 
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| 69 |  | 
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| 70 | /* | 
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| 71 | * Compute first halfstep | 
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| 72 | */ | 
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| 73 |  | 
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| 74 | // Start asynchronous communication | 
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| 75 | comm.CommToGhostsAsyncStart(sol); | 
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| 76 |  | 
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| 77 | // Smooth part not depending on ghost cells | 
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| 78 | ComputePartial(sol, rhs, | 
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| 79 | local.Begin()+1, local.End()-1, | 
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| 80 | prefactor_inv, off+1); | 
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| 81 |  | 
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| 82 | // Finish asynchronous communication | 
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| 83 | comm.CommToGhostsAsyncFinish(sol); | 
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| 84 |  | 
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| 85 | /* | 
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| 86 | * Smooth near boundary cells | 
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| 87 | */ | 
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| 88 |  | 
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| 89 | ComputePartial(sol, rhs, | 
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| 90 | local.Begin(), | 
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| 91 | Index(local.Begin().X()+1, local.End().Y(), local.End().Z()), | 
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| 92 | prefactor_inv, off+1); | 
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| 93 |  | 
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| 94 | ComputePartial(sol, rhs, | 
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| 95 | Index(local.End().X()-1, local.Begin().Y(), local.Begin().Z()), | 
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| 96 | local.End(), | 
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| 97 | prefactor_inv, off+1); | 
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| 98 |  | 
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| 99 | ComputePartial(sol, rhs, | 
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| 100 | Index(local.Begin().X()+1, local.Begin().Y(), local.Begin().Z()), | 
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| 101 | Index(local.End().X()-1, local.Begin().Y()+1, local.End().Z()), | 
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| 102 | prefactor_inv, off+1); | 
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| 103 |  | 
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| 104 | ComputePartial(sol, rhs, | 
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| 105 | Index(local.Begin().X()+1, local.End().Y()-1, local.Begin().Z()), | 
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| 106 | Index(local.End().X()-1, local.End().Y(), local.End().Z()), | 
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| 107 | prefactor_inv, off+1); | 
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| 108 |  | 
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| 109 | ComputePartial(sol, rhs, | 
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| 110 | Index(local.Begin().X()+1, local.Begin().Y()+1, local.Begin().Z()), | 
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| 111 | Index(local.End().X()-1, local.End().Y()-1, local.Begin().Z()+1), | 
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| 112 | prefactor_inv, off+1); | 
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| 113 |  | 
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| 114 | ComputePartial(sol, rhs, | 
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| 115 | Index(local.Begin().X()+1, local.Begin().Y()+1, local.End().Z()-1), | 
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| 116 | Index(local.End().X()-1, local.End().Y()-1, local.End().Z()), | 
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| 117 | prefactor_inv, off+1); | 
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| 118 |  | 
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| 119 | /* | 
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| 120 | * Compute second halfstep | 
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| 121 | */ | 
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| 122 |  | 
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| 123 | // Start asynchronous communication | 
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| 124 | comm.CommToGhostsAsyncStart(sol); | 
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| 125 |  | 
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| 126 | // Smooth part not depending on ghost cells | 
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| 127 | ComputePartial(sol, rhs, | 
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| 128 | local.Begin()+1, local.End()-1, | 
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| 129 | prefactor_inv, off); | 
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| 130 |  | 
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| 131 | // Finish asynchronous communication | 
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| 132 | comm.CommToGhostsAsyncFinish(sol); | 
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| 133 |  | 
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| 134 | /* | 
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| 135 | * Smooth near boundary cells | 
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| 136 | */ | 
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| 137 |  | 
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| 138 | ComputePartial(sol, rhs, | 
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| 139 | local.Begin(), | 
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| 140 | Index(local.Begin().X()+1, local.End().Y(), local.End().Z()), | 
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| 141 | prefactor_inv, off); | 
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| 142 |  | 
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| 143 | ComputePartial(sol, rhs, | 
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| 144 | Index(local.End().X()-1, local.Begin().Y(), local.Begin().Z()), | 
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| 145 | local.End(), | 
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| 146 | prefactor_inv, off); | 
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| 147 |  | 
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| 148 | ComputePartial(sol, rhs, | 
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| 149 | Index(local.Begin().X()+1, local.Begin().Y(), local.Begin().Z()), | 
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| 150 | Index(local.End().X()-1, local.Begin().Y()+1, local.End().Z()), | 
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| 151 | prefactor_inv, off); | 
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| 152 |  | 
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| 153 | ComputePartial(sol, rhs, | 
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| 154 | Index(local.Begin().X()+1, local.End().Y()-1, local.Begin().Z()), | 
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| 155 | Index(local.End().X()-1, local.End().Y(), local.End().Z()), | 
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| 156 | prefactor_inv, off); | 
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| 157 |  | 
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| 158 | ComputePartial(sol, rhs, | 
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| 159 | Index(local.Begin().X()+1, local.Begin().Y()+1, local.Begin().Z()), | 
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| 160 | Index(local.End().X()-1, local.End().Y()-1, local.Begin().Z()+1), | 
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| 161 | prefactor_inv, off); | 
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| 162 |  | 
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| 163 | ComputePartial(sol, rhs, | 
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| 164 | Index(local.Begin().X()+1, local.Begin().Y()+1, local.End().Z()-1), | 
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| 165 | Index(local.End().X()-1, local.End().Y()-1, local.End().Z()), | 
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| 166 | prefactor_inv, off); | 
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| 167 | } | 
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