/usr/include/trilinos/ConditionNumberFunctions.hpp is in libtrilinos-dev 10.4.0.dfsg-1ubuntu2.
This file is owned by root:root, with mode 0o644.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 | /* *****************************************************************
MESQUITE -- The Mesh Quality Improvement Toolkit
Copyright 2004 Sandia Corporation and Argonne National
Laboratory. Under the terms of Contract DE-AC04-94AL85000
with Sandia Corporation, the U.S. Government retains certain
rights in this software.
This library is free software; you can redistribute it and/or
modify it under the terms of the GNU Lesser General Public
License as published by the Free Software Foundation; either
version 2.1 of the License, or (at your option) any later version.
This library is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public License
(lgpl.txt) along with this library; if not, write to the Free Software
Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
diachin2@llnl.gov, djmelan@sandia.gov, mbrewer@sandia.gov,
pknupp@sandia.gov, tleurent@mcs.anl.gov, tmunson@mcs.anl.gov
***************************************************************** */
// -*- Mode : c++; tab-width: 3; c-tab-always-indent: t; indent-tabs-mode: nil; c-basic-offset: 3 -*-
/*! \file ConditionNumberFunctions.hpp
Header file for the Mesquite::ShapeQualityMetric class
\author Thomas Leurent
\date 2002-09-01
*/
#ifndef ConditionNumberFunctions_hpp
#define ConditionNumberFunctions_hpp
#include "Mesquite.hpp"
#include "MsqError.hpp"
#include "QualityMetric.hpp"
#include "PatchData.hpp"
namespace MESQUITE_NS
{
static inline bool condition_number_2d( const Vector3D temp_vec[],
size_t e_ind,
PatchData &pd,
double &fval,
MsqError &err)
{
//norm squared of J
double term1=temp_vec[0]%temp_vec[0]+temp_vec[1]%temp_vec[1];
Vector3D unit_surf_norm;
pd.get_domain_normal_at_element(e_ind,unit_surf_norm,err);MSQ_ERRZERO(err);
unit_surf_norm.normalize();
// det J
double temp_var=unit_surf_norm%(temp_vec[0]*temp_vec[1]);
// revert to old, non-barrier form
if (temp_var <= 0.0)
return false;
fval = term1 / (2.0*temp_var);
return true;
/*
double h;
double delta=pd.get_barrier_delta(err); MSQ_ERRZERO(err);
// Note: technically, we want delta=eta*tau-max
// whereas the function above gives delta=eta*alpha-max
//
// Because the only requirement on eta is eta << 1,
// and because tau-max = alpha-max/0.707 we can
// ignore the discrepancy
if (delta==0) {
if (temp_var < MSQ_DBL_MIN ) {
return false;
}
else {
h=temp_var;
}
// Note: when delta=0, the vertex_barrier_function
// formally gives h=temp_var as well.
// We just do it this way to avoid any
// roundoff issues.
// Also: when delta=0, this metric is identical
// to the original condition number with
// the barrier at temp_var=0
}
else {
h = QualityMetric::vertex_barrier_function(temp_var,delta);
if (h<MSQ_DBL_MIN && fabs(temp_var) > MSQ_DBL_MIN ) {
h = delta*delta/fabs(temp_var); }
// Note: Analytically, h is strictly positive, but
// it can be zero numerically if temp_var
// is a large negative number
// In the case h=0, we use a different analytic
// approximation to compute h.
}
if (h<MSQ_DBL_MIN) {
MSQ_SETERR(err)( "Barrier function is zero due to excessively large "
"negative area compared to delta. /n Try to untangle "
"mesh another way. ", MsqError::INVALID_MESH);
return false;
}
fval=term1/(2*h);
if (fval>MSQ_MAX_CAP) {
fval=MSQ_MAX_CAP;
}
return true;
*/
}
//} //namespace
static inline bool condition_number_3d( const Vector3D temp_vec[],
PatchData &pd,
double &fval,
MsqError &err)
{
//norm squared of J
double term1=temp_vec[0]%temp_vec[0]+
temp_vec[1]%temp_vec[1]+
temp_vec[2]%temp_vec[2];
//norm squared of adjoint of J
double term2=(temp_vec[0]*temp_vec[1])%
(temp_vec[0]*temp_vec[1])+
(temp_vec[1]*temp_vec[2])%
(temp_vec[1]*temp_vec[2])+
(temp_vec[2]*temp_vec[0])%
(temp_vec[2]*temp_vec[0]);
//det of J
double temp_var=temp_vec[0]%(temp_vec[1]*temp_vec[2]);
// revert to old, non-barrier formulation
if (temp_var <= 0.0)
return false;
fval = sqrt( term1 * term2 ) / (3.0*temp_var);
return true;
/*
double h;
double delta=pd.get_barrier_delta(err); MSQ_ERRZERO(err);
// Note: technically, we want delta=eta*tau-max
// whereas the function above gives delta=eta*alpha-max
//
// Because the only requirement on eta is eta << 1,
// and because tau-max = alpha-max/0.707 we can
// ignore the discrepancy
if (delta==0) {
if (temp_var < MSQ_DBL_MIN ) {
return false;
}
else {
h=temp_var;
}
// Note: when delta=0, the vertex_barrier_function
// formally gives h=temp_var as well.
// We just do it this way to avoid any
// roundoff issues.
// Also: when delta=0, this metric is identical
// to the original condition number with
// the barrier at temp_var=0
}
else {
h = QualityMetric::vertex_barrier_function(temp_var,delta);
if (h<MSQ_DBL_MIN && fabs(temp_var) > MSQ_DBL_MIN ) {
h = delta*delta/fabs(temp_var); }
// Note: Analytically, h is strictly positive, but
// it can be zero numerically if temp_var
// is a large negative number
// In the h=0, we use a different analytic
// approximation to compute h.
}
if (h<MSQ_DBL_MIN) {
MSQ_SETERR(err)("Barrier function is zero due to excessively large "
"negative area compared to delta. /n Try to untangle "
"mesh another way. ", MsqError::INVALID_MESH);
return false;
}
fval=sqrt(term1*term2)/(3*h);
if (fval>MSQ_MAX_CAP) {
fval=MSQ_MAX_CAP;
}
return true;
*/
}
} //namespace
#endif // ConditionNumberFunctions_hpp
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