| 1 | // | 
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| 2 | // chartab.cc | 
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| 3 | // | 
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| 4 | // Modifictions are | 
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| 5 | // Copyright (C) 1996 Limit Point Systems, Inc. | 
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| 6 | // | 
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| 7 | // Author: Edward Seidl <seidl@janed.com> | 
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| 8 | // Maintainer: LPS | 
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| 9 | // | 
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| 10 | // This file is part of the SC Toolkit. | 
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| 11 | // | 
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| 12 | // The SC Toolkit is free software; you can redistribute it and/or modify | 
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| 13 | // it under the terms of the GNU Library General Public License as published by | 
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| 14 | // the Free Software Foundation; either version 2, or (at your option) | 
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| 15 | // any later version. | 
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| 16 | // | 
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| 17 | // The SC Toolkit is distributed in the hope that it will be useful, | 
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| 18 | // but WITHOUT ANY WARRANTY; without even the implied warranty of | 
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| 19 | // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the | 
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| 20 | // GNU Library General Public License for more details. | 
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| 21 | // | 
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| 22 | // You should have received a copy of the GNU Library General Public License | 
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| 23 | // along with the SC Toolkit; see the file COPYING.LIB.  If not, write to | 
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| 24 | // the Free Software Foundation, 675 Mass Ave, Cambridge, MA 02139, USA. | 
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| 25 | // | 
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| 26 | // The U.S. Government is granted a limited license as per AL 91-7. | 
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| 27 | // | 
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| 28 |  | 
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| 29 | /* chartab.cc -- implementation of the point group classes | 
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| 30 | * | 
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| 31 | *      THIS SOFTWARE FITS THE DESCRIPTION IN THE U.S. COPYRIGHT ACT OF A | 
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| 32 | *      "UNITED STATES GOVERNMENT WORK".  IT WAS WRITTEN AS A PART OF THE | 
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| 33 | *      AUTHOR'S OFFICIAL DUTIES AS A GOVERNMENT EMPLOYEE.  THIS MEANS IT | 
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| 34 | *      CANNOT BE COPYRIGHTED.  THIS SOFTWARE IS FREELY AVAILABLE TO THE | 
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| 35 | *      PUBLIC FOR USE WITHOUT A COPYRIGHT NOTICE, AND THERE ARE NO | 
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| 36 | *      RESTRICTIONS ON ITS USE, NOW OR SUBSEQUENTLY. | 
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| 37 | * | 
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| 38 | *  Author: | 
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| 39 | *      E. T. Seidl | 
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| 40 | *      Bldg. 12A, Rm. 2033 | 
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| 41 | *      Computer Systems Laboratory | 
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| 42 | *      Division of Computer Research and Technology | 
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| 43 | *      National Institutes of Health | 
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| 44 | *      Bethesda, Maryland 20892 | 
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| 45 | *      Internet: seidl@alw.nih.gov | 
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| 46 | *      June, 1993 | 
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| 47 | */ | 
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| 48 |  | 
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| 49 | #include <ctype.h> | 
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| 50 |  | 
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| 51 | #include <util/misc/formio.h> | 
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| 52 | #include <util/misc/newstring.h> | 
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| 53 | #include <math/symmetry/pointgrp.h> | 
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| 54 |  | 
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| 55 | using namespace std; | 
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| 56 | using namespace sc; | 
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| 57 |  | 
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| 58 | //////////////////////////////////////////////////////////////////////// | 
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| 59 |  | 
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| 60 | CharacterTable::CharacterTable() | 
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| 61 | : g(0), nt(0), pg(C1), nirrep_(0), gamma_(0), symop(0), _inv(0), symb(0) | 
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| 62 | { | 
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| 63 | } | 
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| 64 |  | 
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| 65 | CharacterTable::CharacterTable(const CharacterTable& ct) | 
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| 66 | : g(0), nt(0), pg(C1), nirrep_(0), gamma_(0), symop(0), _inv(0), symb(0) | 
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| 67 | { | 
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| 68 | *this = ct; | 
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| 69 | } | 
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| 70 |  | 
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| 71 | CharacterTable::~CharacterTable() | 
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| 72 | { | 
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| 73 | if (symb) delete[] symb; symb=0; | 
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| 74 | if (gamma_) delete[] gamma_; gamma_=0; | 
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| 75 | if (symop) delete[] symop; symop=0; | 
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| 76 | if (_inv) delete[] _inv; _inv=0; | 
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| 77 | g=nt=nirrep_=0; | 
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| 78 | } | 
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| 79 |  | 
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| 80 | CharacterTable& | 
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| 81 | CharacterTable::operator=(const CharacterTable& ct) | 
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| 82 | { | 
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| 83 | g=ct.g; nt=ct.nt; pg=ct.pg; nirrep_=ct.nirrep_; | 
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| 84 |  | 
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| 85 | if (symb) | 
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| 86 | delete[] symb; | 
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| 87 |  | 
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| 88 | symb = new_string(ct.symb); | 
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| 89 |  | 
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| 90 | if (gamma_) delete[] gamma_; gamma_=0; | 
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| 91 | if (ct.gamma_) { | 
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| 92 | gamma_ = new IrreducibleRepresentation[nirrep_]; | 
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| 93 | for (int i=0; i < nirrep_; i++) { | 
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| 94 | gamma_[i].init(); | 
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| 95 | gamma_[i] = ct.gamma_[i]; | 
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| 96 | } | 
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| 97 | } | 
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| 98 |  | 
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| 99 | if (symop) | 
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| 100 | delete[] symop; | 
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| 101 | symop=0; | 
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| 102 |  | 
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| 103 | if (ct.symop) { | 
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| 104 | symop = new SymmetryOperation[g]; | 
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| 105 | for (int i=0; i < g; i++) { | 
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| 106 | symop[i] = ct.symop[i]; | 
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| 107 | } | 
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| 108 | } | 
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| 109 |  | 
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| 110 | if (_inv) | 
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| 111 | delete[] _inv; | 
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| 112 | _inv=0; | 
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| 113 |  | 
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| 114 | if (ct._inv) { | 
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| 115 | _inv = new int[g]; | 
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| 116 | memcpy(_inv,ct._inv,sizeof(int)*g); | 
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| 117 | } | 
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| 118 |  | 
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| 119 | return *this; | 
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| 120 | } | 
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| 121 |  | 
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| 122 | void | 
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| 123 | CharacterTable::print(ostream& os) const | 
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| 124 | { | 
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| 125 | if (!g || !nirrep_) return; | 
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| 126 |  | 
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| 127 | int i; | 
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| 128 |  | 
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| 129 | os << indent << "point group " << symb << endl << endl; | 
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| 130 |  | 
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| 131 | for (i=0; i < nirrep_; i++) | 
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| 132 | gamma_[i].print(os); | 
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| 133 |  | 
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| 134 | os << endl << indent << "symmetry operation matrices:" | 
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| 135 | << endl << endl << incindent; | 
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| 136 | for (i=0; i < g; i++) | 
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| 137 | symop[i].print(os); | 
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| 138 |  | 
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| 139 | os << decindent << indent << "inverse symmetry operation matrices:" | 
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| 140 | << endl << endl << incindent; | 
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| 141 | for (i=0; i < g; i++) | 
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| 142 | symop[inverse(i)].print(os); | 
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| 143 |  | 
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| 144 | os << decindent; | 
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| 145 | } | 
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| 146 |  | 
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| 147 | CharacterTable::CharacterTable(const char *cpg, const SymmetryOperation& frame) | 
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| 148 | : g(0), nt(0), pg(C1), nirrep_(0), gamma_(0), symop(0), _inv(0), symb(0) | 
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| 149 | { | 
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| 150 | // first parse the point group symbol, this will give us the order of the | 
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| 151 | // point group(g), the type of point group (pg), the order of the principle | 
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| 152 | // rotation axis (nt), and the number of irreps (nirrep_) | 
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| 153 |  | 
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| 154 | if (!cpg) { | 
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| 155 | ExEnv::errn() << "CharacterTable::CharacterTable: null point group" << endl; | 
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| 156 | exit(1); | 
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| 157 | } | 
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| 158 |  | 
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| 159 | symb = new char[strlen(cpg)+1]; | 
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| 160 | size_t i; | 
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| 161 | for (i=0; i < strlen(cpg); i++) symb[i] = tolower(cpg[i]); | 
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| 162 | symb[i] = '\0'; | 
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| 163 |  | 
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| 164 | if (parse_symbol() < 0) { | 
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| 165 | ExEnv::errn() << "CharacterTable::CharacterTable: invalid point group " | 
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| 166 | << cpg << endl; | 
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| 167 | exit(1); | 
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| 168 | } | 
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| 169 |  | 
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| 170 | if (make_table() < 0) { | 
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| 171 | ExEnv::errn() << "CharacterTable::CharacterTable: could not make table" << endl; | 
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| 172 | exit(1); | 
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| 173 | } | 
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| 174 |  | 
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| 175 | int ig; | 
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| 176 | for (ig=0; ig < g; ig++) | 
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| 177 | symop[ig] = symop[ig].transform(frame); | 
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| 178 | } | 
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| 179 |  | 
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| 180 | CharacterTable::CharacterTable(const char *cpg) | 
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| 181 | : g(0), nt(0), pg(C1), nirrep_(0), gamma_(0), symop(0), _inv(0), symb(0) | 
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| 182 | { | 
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| 183 | // first parse the point group symbol, this will give us the order of the | 
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| 184 | // point group(g), the type of point group (pg), the order of the principle | 
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| 185 | // rotation axis (nt), and the number of irreps (nirrep_) | 
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| 186 |  | 
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| 187 | if (!cpg) { | 
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| 188 | ExEnv::errn() << "CharacterTable::CharacterTable: null point group" << endl; | 
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| 189 | exit(1); | 
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| 190 | } | 
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| 191 |  | 
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| 192 | symb = new char[strlen(cpg)+1]; | 
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| 193 | size_t i; | 
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| 194 | for (i=0; i < strlen(cpg); i++) symb[i] = tolower(cpg[i]); | 
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| 195 | symb[i] = '\0'; | 
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| 196 |  | 
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| 197 | if (parse_symbol() < 0) { | 
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| 198 | ExEnv::errn() << "CharacterTable::CharacterTable: invalid point group " | 
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| 199 | << cpg << endl; | 
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| 200 | exit(1); | 
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| 201 | } | 
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| 202 |  | 
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| 203 | if (make_table() < 0) { | 
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| 204 | ExEnv::errn() << "CharacterTable::CharacterTable: could not make table" << endl; | 
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| 205 | exit(1); | 
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| 206 | } | 
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| 207 | } | 
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| 208 |  | 
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| 209 | int | 
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| 210 | CharacterTable::parse_symbol() | 
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| 211 | { | 
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| 212 | // default to C1 symmetry | 
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| 213 | g=1; pg=C1; nt=1; nirrep_=1; | 
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| 214 |  | 
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| 215 | if (!symb) return 0; | 
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| 216 |  | 
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| 217 | if (!strcmp(symb,"c1")) return 0; | 
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| 218 |  | 
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| 219 | if (!strcmp(symb,"ci")) { | 
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| 220 | g = 2; pg = CI; nirrep_ = 2; nt = 2; | 
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| 221 | return 0; | 
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| 222 | } | 
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| 223 |  | 
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| 224 | if(!strcmp(symb,"cs")) { | 
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| 225 | g = 2; pg = CS; nirrep_ = 2; nt = 0; | 
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| 226 | return 0; | 
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| 227 | } | 
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| 228 |  | 
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| 229 | if (symb[0] == 'c') { | 
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| 230 | int nab,ne; | 
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| 231 |  | 
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| 232 | if (symb[1] == '\0') return -1; | 
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| 233 |  | 
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| 234 | nt = atoi(&symb[1]); | 
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| 235 | ne = (nt%2) ? nt/2 : nt/2-1; | 
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| 236 | nab = (nt%2) ? 1 : 2; | 
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| 237 |  | 
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| 238 | char *vhd = &symb[1]; | 
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| 239 | while (*vhd && isdigit(*vhd)) | 
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| 240 | vhd++; | 
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| 241 |  | 
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| 242 | if (*vhd) { | 
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| 243 | if (*vhd == 'v') { | 
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| 244 | g  = 2*nt; pg = CNV; nirrep_ = 2*nab + ne; | 
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| 245 | } else if (*vhd == 'h') { | 
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| 246 | g  = 2*nt; pg = CNH; nirrep_ = 2*(nab+ne); | 
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| 247 | } else { | 
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| 248 | return -1; | 
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| 249 | } | 
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| 250 | } else { | 
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| 251 | g = nt; pg = CN; nirrep_ = nab+ne; | 
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| 252 | } | 
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| 253 |  | 
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| 254 | return 0; | 
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| 255 | } | 
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| 256 |  | 
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| 257 | if (symb[0] == 'd') { | 
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| 258 | int nab,ne; | 
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| 259 |  | 
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| 260 | if (symb[1] == '\0') return -1; | 
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| 261 |  | 
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| 262 | nt = atoi(&symb[1]); | 
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| 263 | ne = (nt%2) ? nt/2 : nt/2-1; | 
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| 264 | nab = (nt%2) ? 1 : 2; | 
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| 265 |  | 
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| 266 | char *vhd = &symb[1]; | 
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| 267 | while (*vhd && isdigit(*vhd)) | 
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| 268 | vhd++; | 
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| 269 |  | 
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| 270 | if (*vhd) { | 
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| 271 | if (*vhd == 'd') { | 
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| 272 | g = 4*nt; pg = DND; nirrep_ = nt+3; | 
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| 273 | } else if (*vhd == 'h') { | 
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| 274 | g = 4*nt; pg = DNH; nirrep_ = 4*nab + 2*ne; | 
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| 275 | } else { | 
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| 276 | return -1; | 
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| 277 | } | 
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| 278 | } else { | 
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| 279 | g = 2*nt; pg = DN; nirrep_ = 2*nab + ne; | 
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| 280 | } | 
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| 281 |  | 
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| 282 | return 0; | 
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| 283 | } | 
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| 284 |  | 
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| 285 | if (symb[0] == 's') { | 
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| 286 | if (symb[1] == '\0') return -1; | 
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| 287 |  | 
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| 288 | nt = atoi(&symb[1]); | 
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| 289 |  | 
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| 290 | // only S2n groups make sense | 
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| 291 | if (nt%2) return -1; | 
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| 292 |  | 
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| 293 | g = nt; pg = SN; nirrep_ = nt/2+1; | 
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| 294 |  | 
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| 295 | return 0; | 
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| 296 | } | 
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| 297 |  | 
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| 298 | if (symb[0] == 't') { | 
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| 299 | if (symb[1] != '\0') { | 
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| 300 | if (symb[1] == 'd') { | 
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| 301 | g = 24; pg = TD; nirrep_ = 5; | 
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| 302 | } else if(symb[1] == 'h') { | 
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| 303 | g = 24; pg = TH; nirrep_ = 6; | 
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| 304 | } else { | 
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| 305 | return -1; | 
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| 306 | } | 
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| 307 | } else { | 
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| 308 | g = 12; pg = T; nirrep_ = 3; | 
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| 309 | } | 
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| 310 |  | 
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| 311 | return 0; | 
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| 312 | } | 
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| 313 |  | 
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| 314 | if (symb[0] == 'o') { | 
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| 315 | if (symb[1] != '\0') { | 
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| 316 | if (symb[1] == 'h') { | 
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| 317 | pg = OH; g = 48; nirrep_ = 10; | 
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| 318 | } else { | 
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| 319 | return -1; | 
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| 320 | } | 
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| 321 | } else { | 
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| 322 | g = 24; pg = O; nirrep_ = 5; | 
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| 323 | } | 
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| 324 |  | 
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| 325 | return 0; | 
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| 326 | } | 
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| 327 |  | 
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| 328 | if (symb[0] == 'i') { | 
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| 329 | if (symb[1] != '\0') { | 
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| 330 | if (symb[1] == 'h') { | 
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| 331 | g = 120; pg = IH; nirrep_ = 10; | 
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| 332 | } else { | 
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| 333 | return -1; | 
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| 334 | } | 
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| 335 | } else { | 
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| 336 | g = 60; pg = I; nirrep_ = 5; | 
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| 337 | } | 
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| 338 |  | 
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| 339 | return 0; | 
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| 340 | } | 
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| 341 |  | 
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| 342 | return -1; | 
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| 343 | } | 
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| 344 |  | 
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| 345 | ///////////////////////////////////////////////////////////////////////////// | 
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| 346 |  | 
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| 347 | // Local Variables: | 
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| 348 | // mode: c++ | 
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| 349 | // c-file-style: "ETS" | 
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| 350 | // End: | 
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