| [0b990d] | 1 | // | 
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|  | 2 | // localsymm.cc | 
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|  | 3 | // | 
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|  | 4 | // Copyright (C) 1996 Limit Point Systems, Inc. | 
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|  | 5 | // | 
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|  | 6 | // Author: Curtis Janssen <cljanss@limitpt.com> | 
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|  | 7 | // Maintainer: LPS | 
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|  | 8 | // | 
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|  | 9 | // This file is part of the SC Toolkit. | 
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|  | 10 | // | 
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|  | 11 | // The SC Toolkit is free software; you can redistribute it and/or modify | 
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|  | 12 | // it under the terms of the GNU Library General Public License as published by | 
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|  | 13 | // the Free Software Foundation; either version 2, or (at your option) | 
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|  | 14 | // any later version. | 
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|  | 15 | // | 
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|  | 16 | // The SC Toolkit is distributed in the hope that it will be useful, | 
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|  | 17 | // but WITHOUT ANY WARRANTY; without even the implied warranty of | 
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|  | 18 | // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the | 
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|  | 19 | // GNU Library General Public License for more details. | 
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|  | 20 | // | 
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|  | 21 | // You should have received a copy of the GNU Library General Public License | 
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|  | 22 | // along with the SC Toolkit; see the file COPYING.LIB.  If not, write to | 
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|  | 23 | // the Free Software Foundation, 675 Mass Ave, Cambridge, MA 02139, USA. | 
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|  | 24 | // | 
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|  | 25 | // The U.S. Government is granted a limited license as per AL 91-7. | 
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|  | 26 | // | 
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|  | 27 |  | 
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|  | 28 | #include <math.h> | 
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|  | 29 |  | 
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|  | 30 | #include <util/misc/formio.h> | 
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|  | 31 | #include <util/keyval/keyval.h> | 
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|  | 32 | #include <math/scmat/local.h> | 
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|  | 33 | #include <math/scmat/cmatrix.h> | 
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|  | 34 | #include <math/scmat/elemop.h> | 
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|  | 35 | #include <math/scmat/offset.h> | 
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|  | 36 |  | 
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|  | 37 | #include <math/scmat/mops.h> | 
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|  | 38 |  | 
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|  | 39 | using namespace std; | 
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|  | 40 | using namespace sc; | 
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|  | 41 |  | 
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|  | 42 | ///////////////////////////////////////////////////////////////////////////// | 
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|  | 43 | // LocalSymmSCMatrix member functions | 
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|  | 44 |  | 
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|  | 45 | static ClassDesc LocalSymmSCMatrix_cd( | 
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|  | 46 | typeid(LocalSymmSCMatrix),"LocalSymmSCMatrix",1,"public SymmSCMatrix", | 
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|  | 47 | 0, 0, 0); | 
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|  | 48 |  | 
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|  | 49 | static double ** | 
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|  | 50 | init_symm_rows(double *data, int n) | 
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|  | 51 | { | 
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|  | 52 | double** r = new double*[n]; | 
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|  | 53 | for (int i=0; i<n; i++) r[i] = &data[(i*(i+1))/2]; | 
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|  | 54 | return r; | 
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|  | 55 | } | 
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|  | 56 |  | 
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|  | 57 | LocalSymmSCMatrix::LocalSymmSCMatrix(const RefSCDimension&a, | 
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|  | 58 | LocalSCMatrixKit *kit): | 
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|  | 59 | SymmSCMatrix(a,kit), | 
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|  | 60 | rows(0) | 
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|  | 61 | { | 
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|  | 62 | resize(a->n()); | 
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|  | 63 | } | 
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|  | 64 |  | 
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|  | 65 | LocalSymmSCMatrix::~LocalSymmSCMatrix() | 
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|  | 66 | { | 
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|  | 67 | if (rows) delete[] rows; | 
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|  | 68 | } | 
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|  | 69 |  | 
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|  | 70 | int | 
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|  | 71 | LocalSymmSCMatrix::compute_offset(int i,int j) const | 
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|  | 72 | { | 
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|  | 73 | if (i<0 || j<0 || i>=d->n() || j>=d->n()) { | 
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|  | 74 | ExEnv::errn() << indent << "LocalSymmSCMatrix: index out of bounds\n"; | 
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|  | 75 | abort(); | 
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|  | 76 | } | 
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|  | 77 | return ij_offset(i,j); | 
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|  | 78 | } | 
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|  | 79 |  | 
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|  | 80 | void | 
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|  | 81 | LocalSymmSCMatrix::resize(int n) | 
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|  | 82 | { | 
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|  | 83 | block = new SCMatrixLTriBlock(0,n); | 
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|  | 84 | rows = init_symm_rows(block->data,n); | 
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|  | 85 | } | 
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|  | 86 |  | 
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|  | 87 | double * | 
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|  | 88 | LocalSymmSCMatrix::get_data() | 
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|  | 89 | { | 
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|  | 90 | return block->data; | 
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|  | 91 | } | 
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|  | 92 |  | 
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|  | 93 | double ** | 
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|  | 94 | LocalSymmSCMatrix::get_rows() | 
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|  | 95 | { | 
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|  | 96 | return rows; | 
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|  | 97 | } | 
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|  | 98 |  | 
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|  | 99 | double | 
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|  | 100 | LocalSymmSCMatrix::get_element(int i,int j) const | 
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|  | 101 | { | 
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|  | 102 | return block->data[compute_offset(i,j)]; | 
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|  | 103 | } | 
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|  | 104 |  | 
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|  | 105 | void | 
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|  | 106 | LocalSymmSCMatrix::set_element(int i,int j,double a) | 
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|  | 107 | { | 
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|  | 108 | block->data[compute_offset(i,j)] = a; | 
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|  | 109 | } | 
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|  | 110 |  | 
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|  | 111 | void | 
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|  | 112 | LocalSymmSCMatrix::accumulate_element(int i,int j,double a) | 
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|  | 113 | { | 
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|  | 114 | block->data[compute_offset(i,j)] += a; | 
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|  | 115 | } | 
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|  | 116 |  | 
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|  | 117 | SCMatrix * | 
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|  | 118 | LocalSymmSCMatrix::get_subblock(int br, int er, int bc, int ec) | 
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|  | 119 | { | 
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|  | 120 | int nsrow = er-br+1; | 
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|  | 121 | int nscol = ec-bc+1; | 
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|  | 122 |  | 
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|  | 123 | if (nsrow > n() || nscol > n()) { | 
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|  | 124 | ExEnv::errn() << indent | 
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|  | 125 | << "LocalSymmSCMatrix::get_subblock: trying to get too big a " | 
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|  | 126 | << "subblock (" << nsrow << "," << nscol | 
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|  | 127 | << ") from (" << n() << "," << n() << ")\n"; | 
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|  | 128 | abort(); | 
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|  | 129 | } | 
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|  | 130 |  | 
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|  | 131 | RefSCDimension dnrow = (nsrow==n()) ? dim().pointer():new SCDimension(nsrow); | 
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|  | 132 | RefSCDimension dncol = (nscol==n()) ? dim().pointer():new SCDimension(nscol); | 
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|  | 133 |  | 
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|  | 134 | SCMatrix * sb = kit()->matrix(dnrow,dncol); | 
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|  | 135 | sb->assign(0.0); | 
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|  | 136 |  | 
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|  | 137 | LocalSCMatrix *lsb = | 
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|  | 138 | require_dynamic_cast<LocalSCMatrix*>(sb, "LocalSymmSCMatrix::get_subblock"); | 
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|  | 139 |  | 
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|  | 140 | for (int i=0; i < nsrow; i++) | 
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|  | 141 | for (int j=0; j < nscol; j++) | 
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|  | 142 | lsb->rows[i][j] = get_element(i+br,j+bc); | 
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|  | 143 |  | 
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|  | 144 | return sb; | 
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|  | 145 | } | 
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|  | 146 |  | 
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|  | 147 | SymmSCMatrix * | 
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|  | 148 | LocalSymmSCMatrix::get_subblock(int br, int er) | 
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|  | 149 | { | 
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|  | 150 | int nsrow = er-br+1; | 
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|  | 151 |  | 
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|  | 152 | if (nsrow > n()) { | 
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|  | 153 | ExEnv::errn() << indent | 
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|  | 154 | << "LocalSymmSCMatrix::get_subblock: trying to get too big a " | 
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|  | 155 | << "subblock (" << nsrow << "," << nsrow | 
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|  | 156 | << ") from (" << n() << "," << n() << ")\n"; | 
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|  | 157 | abort(); | 
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|  | 158 | } | 
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|  | 159 |  | 
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|  | 160 | RefSCDimension dnrow = new SCDimension(nsrow); | 
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|  | 161 |  | 
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|  | 162 | SymmSCMatrix * sb = kit()->symmmatrix(dnrow); | 
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|  | 163 | sb->assign(0.0); | 
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|  | 164 |  | 
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|  | 165 | LocalSymmSCMatrix *lsb = | 
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|  | 166 | require_dynamic_cast<LocalSymmSCMatrix*>(sb, "LocalSymmSCMatrix::get_subblock"); | 
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|  | 167 |  | 
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|  | 168 | for (int i=0; i < nsrow; i++) | 
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|  | 169 | for (int j=0; j <= i; j++) | 
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|  | 170 | lsb->rows[i][j] = get_element(i+br,j+br); | 
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|  | 171 |  | 
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|  | 172 | return sb; | 
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|  | 173 | } | 
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|  | 174 |  | 
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|  | 175 | void | 
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|  | 176 | LocalSymmSCMatrix::assign_subblock(SCMatrix*sb, int br, int er, int bc, int ec) | 
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|  | 177 | { | 
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|  | 178 | LocalSCMatrix *lsb = | 
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|  | 179 | require_dynamic_cast<LocalSCMatrix*>(sb, "LocalSCMatrix::assign_subblock"); | 
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|  | 180 |  | 
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|  | 181 | int nsrow = er-br+1; | 
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|  | 182 | int nscol = ec-bc+1; | 
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|  | 183 |  | 
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|  | 184 | if (nsrow > n() || nscol > n()) { | 
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|  | 185 | ExEnv::errn() << indent | 
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|  | 186 | << "LocalSymmSCMatrix::assign_subblock: trying to assign too big a " | 
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|  | 187 | << "subblock (" << nsrow << "," << nscol | 
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|  | 188 | << ") from (" << n() << "," << n() << ")\n"; | 
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|  | 189 | abort(); | 
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|  | 190 | } | 
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|  | 191 |  | 
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|  | 192 | for (int i=0; i < nsrow; i++) | 
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|  | 193 | for (int j=0; j < nscol; j++) | 
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|  | 194 | set_element(i+br,j+bc,lsb->rows[i][j]); | 
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|  | 195 | } | 
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|  | 196 |  | 
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|  | 197 | void | 
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|  | 198 | LocalSymmSCMatrix::assign_subblock(SymmSCMatrix*sb, int br, int er) | 
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|  | 199 | { | 
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|  | 200 | LocalSymmSCMatrix *lsb = require_dynamic_cast<LocalSymmSCMatrix*>(sb, | 
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|  | 201 | "LocalSymmSCMatrix::assign_subblock"); | 
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|  | 202 |  | 
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|  | 203 | int nsrow = er-br+1; | 
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|  | 204 |  | 
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|  | 205 | if (nsrow > n()) { | 
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|  | 206 | ExEnv::errn() << indent | 
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|  | 207 | << "LocalSymmSCMatrix::assign_subblock: trying to assign too big a " | 
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|  | 208 | << "subblock (" << nsrow << "," << nsrow | 
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|  | 209 | << ") from (" << n() << "," << n() << ")\n"; | 
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|  | 210 | abort(); | 
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|  | 211 | } | 
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|  | 212 |  | 
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|  | 213 | for (int i=0; i < nsrow; i++) | 
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|  | 214 | for (int j=0; j <= i; j++) | 
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|  | 215 | set_element(i+br,j+br,lsb->rows[i][j]); | 
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|  | 216 | } | 
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|  | 217 |  | 
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|  | 218 | void | 
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|  | 219 | LocalSymmSCMatrix::accumulate_subblock(SCMatrix*sb, int br, int er, int bc, int ec) | 
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|  | 220 | { | 
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|  | 221 | LocalSCMatrix *lsb = require_dynamic_cast<LocalSCMatrix*>(sb, | 
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|  | 222 | "LocalSymmSCMatrix::accumulate_subblock"); | 
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|  | 223 |  | 
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|  | 224 | int nsrow = er-br+1; | 
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|  | 225 | int nscol = ec-bc+1; | 
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|  | 226 |  | 
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|  | 227 | if (nsrow > n() || nscol > n()) { | 
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|  | 228 | ExEnv::errn() << indent | 
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|  | 229 | << "LocalSymmSCMatrix::accumulate_subblock: trying to " | 
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|  | 230 | << "accumulate too big a " | 
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|  | 231 | << "subblock (" << nsrow << "," << nscol | 
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|  | 232 | << ") from (" << n() << "," << n() << ")\n"; | 
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|  | 233 | abort(); | 
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|  | 234 | } | 
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|  | 235 |  | 
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|  | 236 | for (int i=0; i < nsrow; i++) | 
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|  | 237 | for (int j=0; j < nscol; j++) | 
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|  | 238 | set_element(i+br,j+br,get_element(i+br,j+br)+lsb->rows[i][j]); | 
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|  | 239 | } | 
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|  | 240 |  | 
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|  | 241 | void | 
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|  | 242 | LocalSymmSCMatrix::accumulate_subblock(SymmSCMatrix*sb, int br, int er) | 
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|  | 243 | { | 
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|  | 244 | LocalSCMatrix *lsb = require_dynamic_cast<LocalSCMatrix*>(sb, | 
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|  | 245 | "LocalSymmSCMatrix::accumulate_subblock"); | 
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|  | 246 |  | 
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|  | 247 | int nsrow = er-br+1; | 
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|  | 248 |  | 
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|  | 249 | if (nsrow > n()) { | 
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|  | 250 | ExEnv::errn() << indent | 
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|  | 251 | << "LocalSymmSCMatrix::accumulate_subblock: trying to " | 
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|  | 252 | << "accumulate too big a " | 
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|  | 253 | << "subblock (" << nsrow << "," << nsrow | 
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|  | 254 | << ") from (" << n() << "," << n() << ")\n"; | 
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|  | 255 | abort(); | 
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|  | 256 | } | 
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|  | 257 |  | 
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|  | 258 | for (int i=0; i < nsrow; i++) | 
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|  | 259 | for (int j=0; j <= i; j++) | 
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|  | 260 | set_element(i+br,j+br,get_element(i+br,j+br)+lsb->rows[i][j]); | 
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|  | 261 | } | 
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|  | 262 |  | 
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|  | 263 | SCVector * | 
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|  | 264 | LocalSymmSCMatrix::get_row(int i) | 
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|  | 265 | { | 
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|  | 266 | if (i >= n()) { | 
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|  | 267 | ExEnv::errn() << indent | 
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|  | 268 | << "LocalSymmSCMatrix::get_row: trying to get invalid row " | 
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|  | 269 | << i << " max " << n() << endl; | 
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|  | 270 | abort(); | 
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|  | 271 | } | 
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|  | 272 |  | 
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|  | 273 | SCVector * v = kit()->vector(dim()); | 
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|  | 274 |  | 
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|  | 275 | LocalSCVector *lv = | 
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|  | 276 | require_dynamic_cast<LocalSCVector*>(v, "LocalSymmSCMatrix::get_row"); | 
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|  | 277 |  | 
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|  | 278 | for (int j=0; j < n(); j++) | 
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|  | 279 | lv->set_element(j,get_element(i,j)); | 
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|  | 280 |  | 
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|  | 281 | return v; | 
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|  | 282 | } | 
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|  | 283 |  | 
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|  | 284 | void | 
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|  | 285 | LocalSymmSCMatrix::assign_row(SCVector *v, int i) | 
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|  | 286 | { | 
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|  | 287 | if (i >= n()) { | 
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|  | 288 | ExEnv::errn() << indent | 
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|  | 289 | << "LocalSymmSCMatrix::assign_row: trying to assign invalid row " | 
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|  | 290 | << i << " max " << n() << endl; | 
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|  | 291 | abort(); | 
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|  | 292 | } | 
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|  | 293 |  | 
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|  | 294 | if (v->n() != n()) { | 
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|  | 295 | ExEnv::errn() << indent | 
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|  | 296 | << "LocalSymmSCMatrix::assign_row: vector is wrong size " | 
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|  | 297 | << "is " << v->n() << ", should be " << n() << endl; | 
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|  | 298 | abort(); | 
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|  | 299 | } | 
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|  | 300 |  | 
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|  | 301 | LocalSCVector *lv = | 
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|  | 302 | require_dynamic_cast<LocalSCVector*>(v, "LocalSymmSCMatrix::assign_row"); | 
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|  | 303 |  | 
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|  | 304 | for (int j=0; j < n(); j++) | 
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|  | 305 | set_element(i,j,lv->get_element(j)); | 
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|  | 306 | } | 
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|  | 307 |  | 
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|  | 308 | void | 
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|  | 309 | LocalSymmSCMatrix::accumulate_row(SCVector *v, int i) | 
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|  | 310 | { | 
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|  | 311 | if (i >= n()) { | 
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|  | 312 | ExEnv::errn() << indent | 
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|  | 313 | << "LocalSymmSCMatrix::accumulate_row: trying to " | 
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|  | 314 | << "accumulate invalid row " | 
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|  | 315 | << i << " max " << n() << endl; | 
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|  | 316 | abort(); | 
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|  | 317 | } | 
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|  | 318 |  | 
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|  | 319 | if (v->n() != n()) { | 
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|  | 320 | ExEnv::errn() << indent | 
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|  | 321 | << "LocalSymmSCMatrix::accumulate_row: vector is wrong size" | 
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|  | 322 | << "is " << v->n() << ", should be " << n() << endl; | 
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|  | 323 | abort(); | 
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|  | 324 | } | 
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|  | 325 |  | 
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|  | 326 | LocalSCVector *lv = | 
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|  | 327 | require_dynamic_cast<LocalSCVector*>(v, "LocalSymmSCMatrix::accumulate_row"); | 
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|  | 328 |  | 
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|  | 329 | for (int j=0; j < n(); j++) | 
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|  | 330 | set_element(i,j,get_element(i,j)+lv->get_element(j)); | 
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|  | 331 | } | 
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|  | 332 |  | 
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|  | 333 | void | 
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|  | 334 | LocalSymmSCMatrix::accumulate(const SymmSCMatrix*a) | 
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|  | 335 | { | 
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|  | 336 | // make sure that the arguments is of the correct type | 
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|  | 337 | const LocalSymmSCMatrix* la | 
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|  | 338 | = require_dynamic_cast<const LocalSymmSCMatrix*>(a,"LocalSymmSCMatrix::accumulate"); | 
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|  | 339 |  | 
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|  | 340 | // make sure that the dimensions match | 
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|  | 341 | if (!dim()->equiv(la->dim())) { | 
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|  | 342 | ExEnv::errn() << indent | 
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|  | 343 | << "LocalSymmSCMatrix::accumulate(SCMatrix*a): " | 
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|  | 344 | << "dimensions don't match\n"; | 
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|  | 345 | abort(); | 
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|  | 346 | } | 
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|  | 347 |  | 
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|  | 348 | int nelem = (this->n() * (this->n() + 1))/2; | 
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|  | 349 | for (int i=0; i<nelem; i++) block->data[i] += la->block->data[i]; | 
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|  | 350 | } | 
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|  | 351 |  | 
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|  | 352 | double | 
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|  | 353 | LocalSymmSCMatrix::invert_this() | 
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|  | 354 | { | 
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|  | 355 | return cmat_invert(rows,1,n()); | 
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|  | 356 | } | 
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|  | 357 |  | 
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|  | 358 | double | 
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|  | 359 | LocalSymmSCMatrix::determ_this() | 
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|  | 360 | { | 
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|  | 361 | return cmat_determ(rows,1,n()); | 
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|  | 362 | } | 
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|  | 363 |  | 
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|  | 364 | double | 
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|  | 365 | LocalSymmSCMatrix::trace() | 
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|  | 366 | { | 
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|  | 367 | double ret=0; | 
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|  | 368 | for (int i=0; i < n(); i++) ret += rows[i][i]; | 
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|  | 369 | return ret; | 
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|  | 370 | } | 
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|  | 371 |  | 
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|  | 372 | double | 
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|  | 373 | LocalSymmSCMatrix::solve_this(SCVector*v) | 
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|  | 374 | { | 
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|  | 375 | LocalSCVector* lv = | 
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|  | 376 | require_dynamic_cast<LocalSCVector*>(v,"LocalSymmSCMatrix::solve_this"); | 
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|  | 377 |  | 
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|  | 378 | // make sure that the dimensions match | 
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|  | 379 | if (!dim()->equiv(lv->dim())) { | 
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|  | 380 | ExEnv::errn() << indent | 
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|  | 381 | << "LocalSymmSCMatrix::solve_this(SCVector*v): " | 
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|  | 382 | << "dimensions don't match\n"; | 
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|  | 383 | abort(); | 
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|  | 384 | } | 
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|  | 385 |  | 
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|  | 386 | return cmat_solve_lin(rows,1,lv->block->data,n()); | 
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|  | 387 | } | 
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|  | 388 |  | 
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|  | 389 | void | 
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|  | 390 | LocalSymmSCMatrix::gen_invert_this() | 
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|  | 391 | { | 
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|  | 392 | if (n() == 0) return; | 
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|  | 393 |  | 
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|  | 394 | double *evals = new double[n()]; | 
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|  | 395 | double **evecs = cmat_new_square_matrix(n()); | 
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|  | 396 |  | 
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|  | 397 | cmat_diag(rows,evals,evecs,n(),1,1.0e-15); | 
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|  | 398 |  | 
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|  | 399 | for (int i=0; i < n(); i++) { | 
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|  | 400 | if (fabs(evals[i]) > 1.0e-8) | 
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|  | 401 | evals[i] = 1.0/evals[i]; | 
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|  | 402 | else | 
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|  | 403 | evals[i] = 0; | 
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|  | 404 | } | 
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|  | 405 |  | 
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|  | 406 | cmat_transform_diagonal_matrix(rows, n(), evals, n(), evecs, 0); | 
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|  | 407 |  | 
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|  | 408 | delete[] evals; | 
|---|
|  | 409 | cmat_delete_matrix(evecs); | 
|---|
|  | 410 | } | 
|---|
|  | 411 |  | 
|---|
|  | 412 | void | 
|---|
|  | 413 | LocalSymmSCMatrix::diagonalize(DiagSCMatrix*a,SCMatrix*b) | 
|---|
|  | 414 | { | 
|---|
|  | 415 | if (n() == 0) return; | 
|---|
|  | 416 |  | 
|---|
|  | 417 | const char* name = "LocalSymmSCMatrix::diagonalize"; | 
|---|
|  | 418 | // make sure that the arguments is of the correct type | 
|---|
|  | 419 | LocalDiagSCMatrix* la = require_dynamic_cast<LocalDiagSCMatrix*>(a,name); | 
|---|
|  | 420 | LocalSCMatrix* lb = require_dynamic_cast<LocalSCMatrix*>(b,name); | 
|---|
|  | 421 |  | 
|---|
|  | 422 | if (!dim()->equiv(la->dim()) || | 
|---|
|  | 423 | !dim()->equiv(lb->coldim()) || !dim()->equiv(lb->rowdim())) { | 
|---|
|  | 424 | ExEnv::errn() << indent | 
|---|
|  | 425 | << "LocalSymmSCMatrix::" | 
|---|
|  | 426 | << "diagonalize(DiagSCMatrix*a,SCMatrix*b): bad dims"; | 
|---|
|  | 427 | abort(); | 
|---|
|  | 428 | } | 
|---|
|  | 429 |  | 
|---|
|  | 430 | double *eigvals; | 
|---|
|  | 431 | double **eigvecs; | 
|---|
|  | 432 | if (!la) { | 
|---|
|  | 433 | eigvals = new double[n()]; | 
|---|
|  | 434 | } | 
|---|
|  | 435 | else { | 
|---|
|  | 436 | eigvals = la->block->data; | 
|---|
|  | 437 | } | 
|---|
|  | 438 |  | 
|---|
|  | 439 | if (!lb) { | 
|---|
|  | 440 | eigvecs = cmat_new_square_matrix(n()); | 
|---|
|  | 441 | } | 
|---|
|  | 442 | else { | 
|---|
|  | 443 | eigvecs = lb->rows; | 
|---|
|  | 444 | } | 
|---|
|  | 445 |  | 
|---|
|  | 446 | cmat_diag(rows,eigvals,eigvecs,n(),1,1.0e-15); | 
|---|
|  | 447 |  | 
|---|
|  | 448 | if (!la) delete[] eigvals; | 
|---|
|  | 449 | if (!lb) cmat_delete_matrix(eigvecs); | 
|---|
|  | 450 | } | 
|---|
|  | 451 |  | 
|---|
|  | 452 | // computes this += a * a.t | 
|---|
|  | 453 | void | 
|---|
|  | 454 | LocalSymmSCMatrix::accumulate_symmetric_product(SCMatrix*a) | 
|---|
|  | 455 | { | 
|---|
|  | 456 | // make sure that the argument is of the correct type | 
|---|
|  | 457 | LocalSCMatrix* la | 
|---|
|  | 458 | = require_dynamic_cast<LocalSCMatrix*>(a,"LocalSymmSCMatrix::" | 
|---|
|  | 459 | "accumulate_symmetric_product"); | 
|---|
|  | 460 |  | 
|---|
|  | 461 | if (!dim()->equiv(la->rowdim())) { | 
|---|
|  | 462 | ExEnv::errn() << indent | 
|---|
|  | 463 | << "LocalSymmSCMatrix::" | 
|---|
|  | 464 | << "accumulate_symmetric_product(SCMatrix*a): bad dim"; | 
|---|
|  | 465 | abort(); | 
|---|
|  | 466 | } | 
|---|
|  | 467 |  | 
|---|
|  | 468 | cmat_symmetric_mxm(rows,n(),la->rows,la->ncol(),1); | 
|---|
|  | 469 | } | 
|---|
|  | 470 |  | 
|---|
|  | 471 | // computes this += a + a.t | 
|---|
|  | 472 | void | 
|---|
|  | 473 | LocalSymmSCMatrix::accumulate_symmetric_sum(SCMatrix*a) | 
|---|
|  | 474 | { | 
|---|
|  | 475 | // make sure that the argument is of the correct type | 
|---|
|  | 476 | LocalSCMatrix* la | 
|---|
|  | 477 | = require_dynamic_cast<LocalSCMatrix*>(a,"LocalSymmSCMatrix::" | 
|---|
|  | 478 | "accumulate_symmetric_sum"); | 
|---|
|  | 479 |  | 
|---|
|  | 480 | if (!dim()->equiv(la->rowdim()) || !dim()->equiv(la->coldim())) { | 
|---|
|  | 481 | ExEnv::errn() << indent | 
|---|
|  | 482 | << "LocalSymmSCMatrix::" | 
|---|
|  | 483 | << "accumulate_symmetric_sum(SCMatrix*a): bad dim"; | 
|---|
|  | 484 | abort(); | 
|---|
|  | 485 | } | 
|---|
|  | 486 |  | 
|---|
|  | 487 | int n = dim().n(); | 
|---|
|  | 488 | double** tdat = this->rows; | 
|---|
|  | 489 | double** adat = la->rows; | 
|---|
|  | 490 | for (int i=0; i<n; i++) { | 
|---|
|  | 491 | for (int j=0; j<=i; j++) { | 
|---|
|  | 492 | tdat[i][j] += adat[i][j] + adat[j][i]; | 
|---|
|  | 493 | } | 
|---|
|  | 494 | } | 
|---|
|  | 495 | } | 
|---|
|  | 496 |  | 
|---|
|  | 497 | void | 
|---|
|  | 498 | LocalSymmSCMatrix::accumulate_symmetric_outer_product(SCVector*a) | 
|---|
|  | 499 | { | 
|---|
|  | 500 | // make sure that the argument is of the correct type | 
|---|
|  | 501 | LocalSCVector* la | 
|---|
|  | 502 | = require_dynamic_cast<LocalSCVector*>(a,"LocalSymmSCMatrix::" | 
|---|
|  | 503 | "accumulate_symmetric_outer_product"); | 
|---|
|  | 504 |  | 
|---|
|  | 505 | if (!dim()->equiv(la->dim())) { | 
|---|
|  | 506 | ExEnv::errn() << indent | 
|---|
|  | 507 | << "LocalSymmSCMatrix::" | 
|---|
|  | 508 | << "accumulate_symmetric_outer_product(SCMatrix*a): bad dim"; | 
|---|
|  | 509 | abort(); | 
|---|
|  | 510 | } | 
|---|
|  | 511 |  | 
|---|
|  | 512 | int n = dim().n(); | 
|---|
|  | 513 | double** tdat = this->rows; | 
|---|
|  | 514 | double* adat = la->block->data; | 
|---|
|  | 515 | for (int i=0; i<n; i++) { | 
|---|
|  | 516 | for (int j=0; j<=i; j++) { | 
|---|
|  | 517 | tdat[i][j] += adat[i]*adat[j]; | 
|---|
|  | 518 | } | 
|---|
|  | 519 | } | 
|---|
|  | 520 | } | 
|---|
|  | 521 |  | 
|---|
|  | 522 | // this += a * b * transpose(a) | 
|---|
|  | 523 | void | 
|---|
|  | 524 | LocalSymmSCMatrix::accumulate_transform(SCMatrix*a,SymmSCMatrix*b, | 
|---|
|  | 525 | SCMatrix::Transform t) | 
|---|
|  | 526 | { | 
|---|
|  | 527 | int i,j,k; | 
|---|
|  | 528 | int ii,jj; | 
|---|
|  | 529 | int nc, nr; | 
|---|
|  | 530 |  | 
|---|
|  | 531 | // do the necessary castdowns | 
|---|
|  | 532 | LocalSCMatrix*la | 
|---|
|  | 533 | = require_dynamic_cast<LocalSCMatrix*>(a,"%s::accumulate_transform", | 
|---|
|  | 534 | class_name()); | 
|---|
|  | 535 | LocalSymmSCMatrix*lb = require_dynamic_cast<LocalSymmSCMatrix*>( | 
|---|
|  | 536 | b,"%s::accumulate_transform", class_name()); | 
|---|
|  | 537 |  | 
|---|
|  | 538 | // check the dimensions | 
|---|
|  | 539 | if (t == SCMatrix::NormalTransform) { | 
|---|
|  | 540 | if (!dim()->equiv(la->rowdim()) || !lb->dim()->equiv(la->coldim())) { | 
|---|
|  | 541 | ExEnv::errn() << indent << "LocalSymmSCMatrix::accumulate_transform: bad dim\n"; | 
|---|
|  | 542 | abort(); | 
|---|
|  | 543 | } | 
|---|
|  | 544 |  | 
|---|
|  | 545 | nc = lb->n(); | 
|---|
|  | 546 | nr = la->nrow(); | 
|---|
|  | 547 | } else { | 
|---|
|  | 548 | if (!dim()->equiv(la->coldim()) || !lb->dim()->equiv(la->rowdim())) { | 
|---|
|  | 549 | ExEnv::errn() << indent << "LocalSymmSCMatrix::accumulate_transform: bad dim\n"; | 
|---|
|  | 550 | abort(); | 
|---|
|  | 551 | } | 
|---|
|  | 552 |  | 
|---|
|  | 553 | nc = lb->n(); | 
|---|
|  | 554 | nr = la->ncol(); | 
|---|
|  | 555 | } | 
|---|
|  | 556 |  | 
|---|
|  | 557 | if (nr==0 || nc==0) | 
|---|
|  | 558 | return; | 
|---|
|  | 559 |  | 
|---|
|  | 560 | int nproc = messagegrp()->n(); | 
|---|
|  | 561 |  | 
|---|
|  | 562 | double **ablock = cmat_new_square_matrix(D1); | 
|---|
|  | 563 | double **bblock = cmat_new_square_matrix(D1); | 
|---|
|  | 564 | double **cblock = cmat_new_square_matrix(D1); | 
|---|
|  | 565 |  | 
|---|
|  | 566 | double **temp = cmat_new_rect_matrix(D1,nc); | 
|---|
|  | 567 |  | 
|---|
|  | 568 | for (i=0; i < nr; i += D1) { | 
|---|
|  | 569 | int ni = nr-i; | 
|---|
|  | 570 | if (ni > D1) ni = D1; | 
|---|
|  | 571 |  | 
|---|
|  | 572 | memset(temp[0], 0, sizeof(double)*D1*nc); | 
|---|
|  | 573 |  | 
|---|
|  | 574 | for (j=0; j < nc; j+= D1) { | 
|---|
|  | 575 | int nj = nc-j; | 
|---|
|  | 576 | if (nj > D1) nj = D1; | 
|---|
|  | 577 |  | 
|---|
|  | 578 | for (k=0; k < nc; k += D1) { | 
|---|
|  | 579 |  | 
|---|
|  | 580 | int nk = nc-k; | 
|---|
|  | 581 | if (nk > D1) nk = D1; | 
|---|
|  | 582 |  | 
|---|
|  | 583 | if (t == SCMatrix::NormalTransform) | 
|---|
|  | 584 | copy_block(ablock, la->rows, i, ni, k, nk); | 
|---|
|  | 585 | else | 
|---|
|  | 586 | copy_trans_block(ablock, la->rows, i, ni, k, nk); | 
|---|
|  | 587 |  | 
|---|
|  | 588 | copy_sym_block(bblock, lb->rows, j, nj, k, nk); | 
|---|
|  | 589 | copy_block(cblock, temp, 0, ni, j, nj); | 
|---|
|  | 590 | mult_block(ablock, bblock, cblock, ni, nj, nk); | 
|---|
|  | 591 | return_block(temp, cblock, 0, ni, j, nj); | 
|---|
|  | 592 | } | 
|---|
|  | 593 | } | 
|---|
|  | 594 |  | 
|---|
|  | 595 | // now do ab * a~ | 
|---|
|  | 596 | for (j=0; j <= i; j+= D1) { | 
|---|
|  | 597 | int nj = nr-j; | 
|---|
|  | 598 | if (nj > D1) nj = D1; | 
|---|
|  | 599 |  | 
|---|
|  | 600 | memset(cblock[0], 0, sizeof(double)*D1*D1); | 
|---|
|  | 601 |  | 
|---|
|  | 602 | for (k=0; k < nc; k += D1) { | 
|---|
|  | 603 |  | 
|---|
|  | 604 | int nk = nc-k; | 
|---|
|  | 605 | if (nk > D1) nk = D1; | 
|---|
|  | 606 |  | 
|---|
|  | 607 | copy_block(ablock, temp, 0, ni, k, nk); | 
|---|
|  | 608 | if (t == SCMatrix::NormalTransform) | 
|---|
|  | 609 | copy_block(bblock, la->rows, j, nj, k, nk); | 
|---|
|  | 610 | else | 
|---|
|  | 611 | copy_trans_block(bblock, la->rows, j, nj, k, nk); | 
|---|
|  | 612 |  | 
|---|
|  | 613 | mult_block(ablock, bblock, cblock, ni, nj, nk); | 
|---|
|  | 614 | } | 
|---|
|  | 615 |  | 
|---|
|  | 616 | // copy cblock(i,j) into result | 
|---|
|  | 617 | if (j==i) { | 
|---|
|  | 618 | for (ii=0; ii < ni; ii++) | 
|---|
|  | 619 | for (jj=0; jj <= ii; jj++) | 
|---|
|  | 620 | rows[i+ii][j+jj] += cblock[ii][jj]; | 
|---|
|  | 621 | } else { | 
|---|
|  | 622 | for (ii=0; ii < ni; ii++) | 
|---|
|  | 623 | for (jj=0; jj < nj; jj++) | 
|---|
|  | 624 | rows[i+ii][j+jj] += cblock[ii][jj]; | 
|---|
|  | 625 | } | 
|---|
|  | 626 | } | 
|---|
|  | 627 | } | 
|---|
|  | 628 |  | 
|---|
|  | 629 | cmat_delete_matrix(temp); | 
|---|
|  | 630 |  | 
|---|
|  | 631 | cmat_delete_matrix(ablock); | 
|---|
|  | 632 | cmat_delete_matrix(bblock); | 
|---|
|  | 633 | cmat_delete_matrix(cblock); | 
|---|
|  | 634 | } | 
|---|
|  | 635 |  | 
|---|
|  | 636 | // this += a * b * transpose(a) | 
|---|
|  | 637 | void | 
|---|
|  | 638 | LocalSymmSCMatrix::accumulate_transform(SCMatrix*a,DiagSCMatrix*b, | 
|---|
|  | 639 | SCMatrix::Transform t) | 
|---|
|  | 640 | { | 
|---|
|  | 641 | // do the necessary castdowns | 
|---|
|  | 642 | LocalSCMatrix*la | 
|---|
|  | 643 | = require_dynamic_cast<LocalSCMatrix*>(a,"%s::accumulate_transform", | 
|---|
|  | 644 | class_name()); | 
|---|
|  | 645 | LocalDiagSCMatrix*lb | 
|---|
|  | 646 | = require_dynamic_cast<LocalDiagSCMatrix*>(b,"%s::accumulate_transform", | 
|---|
|  | 647 | class_name()); | 
|---|
|  | 648 |  | 
|---|
|  | 649 | // check the dimensions | 
|---|
|  | 650 | if (!dim()->equiv(la->rowdim()) || !lb->dim()->equiv(la->coldim())) { | 
|---|
|  | 651 | ExEnv::errn() << indent | 
|---|
|  | 652 | << "LocalSymmSCMatrix::accumulate_transform: bad dim\n"; | 
|---|
|  | 653 | abort(); | 
|---|
|  | 654 | } | 
|---|
|  | 655 |  | 
|---|
|  | 656 | cmat_transform_diagonal_matrix(rows,n(),lb->block->data,lb->n(),la->rows,1); | 
|---|
|  | 657 | } | 
|---|
|  | 658 |  | 
|---|
|  | 659 | void | 
|---|
|  | 660 | LocalSymmSCMatrix::accumulate_transform(SymmSCMatrix*a,SymmSCMatrix*b) | 
|---|
|  | 661 | { | 
|---|
|  | 662 | SymmSCMatrix::accumulate_transform(a,b); | 
|---|
|  | 663 | } | 
|---|
|  | 664 |  | 
|---|
|  | 665 | double | 
|---|
|  | 666 | LocalSymmSCMatrix::scalar_product(SCVector*a) | 
|---|
|  | 667 | { | 
|---|
|  | 668 | // make sure that the argument is of the correct type | 
|---|
|  | 669 | LocalSCVector* la | 
|---|
|  | 670 | = require_dynamic_cast<LocalSCVector*>(a,"LocalSCVector::scalar_product"); | 
|---|
|  | 671 |  | 
|---|
|  | 672 | // make sure that the dimensions match | 
|---|
|  | 673 | if (!dim()->equiv(la->dim())) { | 
|---|
|  | 674 | ExEnv::errn() << indent | 
|---|
|  | 675 | << "LocalSCVector::scalar_product(SCVector*a): " | 
|---|
|  | 676 | << "dimensions don't match\n"; | 
|---|
|  | 677 | abort(); | 
|---|
|  | 678 | } | 
|---|
|  | 679 |  | 
|---|
|  | 680 | int nelem = n(); | 
|---|
|  | 681 | double* adat = la->block->data; | 
|---|
|  | 682 | double result = 0.0; | 
|---|
|  | 683 | for (int i=0; i<nelem; i++) { | 
|---|
|  | 684 | for (int j=0; j<i; j++) { | 
|---|
|  | 685 | result += 2.0 * rows[i][j] * adat[i] * adat[j]; | 
|---|
|  | 686 | } | 
|---|
|  | 687 | result += rows[i][i] * adat[i] * adat[i]; | 
|---|
|  | 688 | } | 
|---|
|  | 689 | return result; | 
|---|
|  | 690 | } | 
|---|
|  | 691 |  | 
|---|
|  | 692 | void | 
|---|
|  | 693 | LocalSymmSCMatrix::element_op(const Ref<SCElementOp>& op) | 
|---|
|  | 694 | { | 
|---|
|  | 695 | op->process_spec_ltri(block.pointer()); | 
|---|
|  | 696 | } | 
|---|
|  | 697 |  | 
|---|
|  | 698 | void | 
|---|
|  | 699 | LocalSymmSCMatrix::element_op(const Ref<SCElementOp2>& op, | 
|---|
|  | 700 | SymmSCMatrix* m) | 
|---|
|  | 701 | { | 
|---|
|  | 702 | LocalSymmSCMatrix *lm | 
|---|
|  | 703 | = require_dynamic_cast<LocalSymmSCMatrix*>(m,"LocalSymSCMatrix::element_op"); | 
|---|
|  | 704 |  | 
|---|
|  | 705 | if (!dim()->equiv(lm->dim())) { | 
|---|
|  | 706 | ExEnv::errn() << indent << "LocalSymmSCMatrix: bad element_op\n"; | 
|---|
|  | 707 | abort(); | 
|---|
|  | 708 | } | 
|---|
|  | 709 | op->process_spec_ltri(block.pointer(), lm->block.pointer()); | 
|---|
|  | 710 | } | 
|---|
|  | 711 |  | 
|---|
|  | 712 | void | 
|---|
|  | 713 | LocalSymmSCMatrix::element_op(const Ref<SCElementOp3>& op, | 
|---|
|  | 714 | SymmSCMatrix* m,SymmSCMatrix* n) | 
|---|
|  | 715 | { | 
|---|
|  | 716 | LocalSymmSCMatrix *lm | 
|---|
|  | 717 | = require_dynamic_cast<LocalSymmSCMatrix*>(m,"LocalSymSCMatrix::element_op"); | 
|---|
|  | 718 | LocalSymmSCMatrix *ln | 
|---|
|  | 719 | = require_dynamic_cast<LocalSymmSCMatrix*>(n,"LocalSymSCMatrix::element_op"); | 
|---|
|  | 720 |  | 
|---|
|  | 721 | if (!dim()->equiv(lm->dim()) || !dim()->equiv(ln->dim())) { | 
|---|
|  | 722 | ExEnv::errn() << indent << "LocalSymmSCMatrix: bad element_op\n"; | 
|---|
|  | 723 | abort(); | 
|---|
|  | 724 | } | 
|---|
|  | 725 | op->process_spec_ltri(block.pointer(), | 
|---|
|  | 726 | lm->block.pointer(), ln->block.pointer()); | 
|---|
|  | 727 | } | 
|---|
|  | 728 |  | 
|---|
|  | 729 | // from Ed Seidl at the NIH (with a bit of hacking) | 
|---|
|  | 730 | void | 
|---|
|  | 731 | LocalSymmSCMatrix::vprint(const char *title, ostream& os, int prec) const | 
|---|
|  | 732 | { | 
|---|
|  | 733 | int ii,jj,kk,nn; | 
|---|
|  | 734 | int i,j; | 
|---|
|  | 735 | int lwidth,width; | 
|---|
|  | 736 | double max=this->maxabs(); | 
|---|
|  | 737 |  | 
|---|
|  | 738 | max = (max==0.0) ? 1.0 : log10(max); | 
|---|
|  | 739 | if (max < 0.0) max=1.0; | 
|---|
|  | 740 |  | 
|---|
|  | 741 | lwidth = prec + 5 + (int) max; | 
|---|
|  | 742 | width = 75/(lwidth+SCFormIO::getindent(os)); | 
|---|
|  | 743 |  | 
|---|
|  | 744 | if (title) | 
|---|
|  | 745 | os << endl << indent << title << endl; | 
|---|
|  | 746 | else | 
|---|
|  | 747 | os << endl; | 
|---|
|  | 748 |  | 
|---|
|  | 749 | if (n()==0) { | 
|---|
|  | 750 | os << indent << "empty matrix\n"; | 
|---|
|  | 751 | return; | 
|---|
|  | 752 | } | 
|---|
|  | 753 |  | 
|---|
|  | 754 | for (ii=jj=0;;) { | 
|---|
|  | 755 | ii++; jj++; | 
|---|
|  | 756 | kk=width*jj; | 
|---|
|  | 757 | nn = (n() > kk) ? kk : n(); | 
|---|
|  | 758 |  | 
|---|
|  | 759 | // print column indices | 
|---|
|  | 760 | os << indent; | 
|---|
|  | 761 | for (i=ii; i <= nn; i++) | 
|---|
|  | 762 | os << scprintf("%*d",lwidth,i); | 
|---|
|  | 763 | os << endl; | 
|---|
|  | 764 |  | 
|---|
|  | 765 | // print the rows | 
|---|
|  | 766 | for (i=ii-1; i < n() ; i++) { | 
|---|
|  | 767 | os << indent << scprintf("%5d",i+1); | 
|---|
|  | 768 | for (j=ii-1; j<nn && j<=i; j++) | 
|---|
|  | 769 | os << scprintf("%*.*f",lwidth,prec,rows[i][j]); | 
|---|
|  | 770 | os << endl; | 
|---|
|  | 771 | } | 
|---|
|  | 772 | os << endl; | 
|---|
|  | 773 |  | 
|---|
|  | 774 | if (n() <= kk) { | 
|---|
|  | 775 | os.flush(); | 
|---|
|  | 776 | return; | 
|---|
|  | 777 | } | 
|---|
|  | 778 | ii=kk; | 
|---|
|  | 779 | } | 
|---|
|  | 780 | } | 
|---|
|  | 781 |  | 
|---|
|  | 782 | Ref<SCMatrixSubblockIter> | 
|---|
|  | 783 | LocalSymmSCMatrix::local_blocks(SCMatrixSubblockIter::Access access) | 
|---|
|  | 784 | { | 
|---|
|  | 785 | if (messagegrp()->n() > 1) { | 
|---|
|  | 786 | ExEnv::errn() << indent | 
|---|
|  | 787 | << "LocalSymmSCMatrix::local_blocks: not valid for local matrices" | 
|---|
|  | 788 | << endl; | 
|---|
|  | 789 | abort(); | 
|---|
|  | 790 | } | 
|---|
|  | 791 | Ref<SCMatrixSubblockIter> iter | 
|---|
|  | 792 | = new SCMatrixSimpleSubblockIter(access, block.pointer()); | 
|---|
|  | 793 | return iter; | 
|---|
|  | 794 | } | 
|---|
|  | 795 |  | 
|---|
|  | 796 | Ref<SCMatrixSubblockIter> | 
|---|
|  | 797 | LocalSymmSCMatrix::all_blocks(SCMatrixSubblockIter::Access access) | 
|---|
|  | 798 | { | 
|---|
|  | 799 | if (access == SCMatrixSubblockIter::Write) { | 
|---|
|  | 800 | ExEnv::errn() << indent << "LocalSymmSCMatrix::all_blocks: " | 
|---|
|  | 801 | << "Write access permitted for local blocks only" | 
|---|
|  | 802 | << endl; | 
|---|
|  | 803 | abort(); | 
|---|
|  | 804 | } | 
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|  | 805 | return local_blocks(access); | 
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|  | 806 | } | 
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|  | 807 |  | 
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|  | 808 | ///////////////////////////////////////////////////////////////////////////// | 
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|  | 809 |  | 
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|  | 810 | // Local Variables: | 
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|  | 811 | // mode: c++ | 
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|  | 812 | // c-file-style: "CLJ" | 
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|  | 813 | // End: | 
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